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Diffstat (limited to 'ast/erfa')
227 files changed, 51488 insertions, 0 deletions
diff --git a/ast/erfa/INFO b/ast/erfa/INFO new file mode 100644 index 0000000..0719bcc --- /dev/null +++ b/ast/erfa/INFO @@ -0,0 +1,19 @@ +ERFA has received explicit permission from the IAU SOFA Board to re-license +and re-copyright ERFA from SOFA. The email providing permission is shown here: + +> The IAU Standards Of Fundamental Astronomy Board approves the +> relicensing of a changed SOFA library by the NumFOCUS Foundation to use +> a "Three Clause BSD" license. The changed, relicensed version shall +> differ from the SOFA version in that all function names shall change to +> use "era" as a prefix in place of "iau", and that the SOFA Board shall +> be removed as a copyright holder in the relicensed version. + +> Catherine +> Chair, IAU SOFA Board +> ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ +> HM Nautical Almanac Office +> United Kingdom Hydrographic Office +> Admiralty Way +> Taunton TA1 2DN +> Catherine.Hohenkerk@UKHO.gov.uk +> ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ diff --git a/ast/erfa/LICENSE b/ast/erfa/LICENSE new file mode 100644 index 0000000..8b3e92c --- /dev/null +++ b/ast/erfa/LICENSE @@ -0,0 +1,53 @@ +Copyright (C) 2013-2014, NumFOCUS Foundation. +All rights reserved. + +This library is derived, with permission, from the International +Astronomical Union's "Standards of Fundamental Astronomy" library, +available from http://www.iausofa.org. + +The ERFA version is intended to retain identical +functionality to the SOFA library, but made distinct through +different function and file names, as set out in the SOFA license +conditions. The SOFA original has a role as a reference standard +for the IAU and IERS, and consequently redistribution is permitted only +in its unaltered state. The ERFA version is not subject to this +restriction and therefore can be included in distributions which do not +support the concept of "read only" software. + +Although the intent is to replicate the SOFA API (other than replacement of +prefix names) and results (with the exception of bugs; any that are +discovered will be fixed), SOFA is not responsible for any errors found +in this version of the library. + +If you wish to acknowledge the SOFA heritage, please acknowledge that +you are using a library derived from SOFA, rather than SOFA itself. + + +TERMS AND CONDITIONS + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: + +1 Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + +2 Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the distribution. + +3 Neither the name of the Standards Of Fundamental Astronomy Board, the + International Astronomical Union nor the names of its contributors + may be used to endorse or promote products derived from this software + without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS +IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A +PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED +TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR +PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF +LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING +NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/ast/erfa/Makefile.am b/ast/erfa/Makefile.am new file mode 100644 index 0000000..b763cb9 --- /dev/null +++ b/ast/erfa/Makefile.am @@ -0,0 +1,46 @@ +lib_LTLIBRARIES = liberfa.la +liberfa_la_SOURCES = a2af.c a2tf.c ab.c af2a.c anp.c anpm.c apcg13.c \ +apcg.c apci13.c apci.c apco13.c apco.c apcs13.c apcs.c aper13.c \ +aper.c apio13.c apio.c atci13.c atciq.c atciqn.c atciqz.c atco13.c \ +atic13.c aticq.c aticqn.c atio13.c atioq.c atoc13.c atoi13.c atoiq.c \ +bi00.c bp00.c bp06.c bpn2xy.c c2i00a.c c2i00b.c c2i06a.c c2ibpn.c \ +c2ixy.c c2ixys.c c2s.c c2t00a.c c2t00b.c c2t06a.c c2tcio.c c2teqx.c \ +c2tpe.c c2txy.c cal2jd.c cp.c cpv.c cr.c d2dtf.c d2tf.c dat.c dtdb.c \ +dtf2d.c ee00a.c ee00b.c ee00.c ee06a.c eect00.c eform.c eo06a.c \ +eors.c epb2jd.c epb.c epj2jd.c epj.c epv00.c eqeq94.c era00.c \ +fad03.c fae03.c faf03.c faju03.c fal03.c falp03.c fama03.c \ +fame03.c fane03.c faom03.c fapa03.c fasa03.c faur03.c fave03.c \ +fk52h.c fk5hip.c fk5hz.c fw2m.c fw2xy.c gc2gd.c gc2gde.c gd2gc.c \ +gd2gce.c gmst00.c gmst06.c gmst82.c gst00a.c gst00b.c gst06a.c \ +gst06.c gst94.c h2fk5.c hfk5z.c ir.c jd2cal.c jdcalf.c ld.c \ +ldn.c ldsun.c num00a.c num00b.c num06a.c numat.c nut00a.c nut00b.c \ +nut06a.c nut80.c nutm80.c obl06.c obl80.c p06e.c p2pv.c p2s.c pap.c \ +pas.c pb06.c pdp.c pfw06.c plan94.c pmat00.c pmat06.c pmat76.c \ +pm.c pmp.c pmpx.c pmsafe.c pn00a.c pn00b.c pn00.c pn06a.c \ +pn06.c pn.c pnm00a.c pnm00b.c pnm06a.c pnm80.c pom00.c ppp.c \ +ppsp.c pr00.c prec76.c pv2p.c pv2s.c pvdpv.c pvm.c pvmpv.c pvppv.c \ +pvstar.c pvtob.c pvu.c pvup.c pvxpv.c pxp.c refco.c rm2v.c rv2m.c \ +rx.c rxp.c rxpv.c rxr.c ry.c rz.c s00a.c s00b.c s00.c \ +s06a.c s06.c s2c.c s2p.c s2pv.c s2xpv.c sepp.c seps.c sp00.c \ +starpm.c starpv.c sxp.c sxpv.c taitt.c taiut1.c taiutc.c tcbtdb.c \ +tcgtt.c tdbtcb.c tdbtt.c tf2a.c tf2d.c tr.c trxp.c trxpv.c tttai.c \ +tttcg.c tttdb.c ttut1.c ut1tai.c ut1tt.c ut1utc.c utctai.c utcut1.c \ +xy06.c xys00a.c xys00b.c xys06a.c zp.c zpv.c zr.c + +include_HEADERS = erfa.h erfam.h + +## Version info is in current : revision : age form +## A library supports interfaces from current downto current - age +## Revision is the version of the current interface + +## VI_ALL is set in the macro ERFA_LIB_VERSION_INFO in configure.ac + +liberfa_la_LDFLAGS = -version-info $(VI_ALL) + + +## Check program +TESTS = t_erfa_c +check_PROGRAMS = t_erfa_c +t_erfa_c_SOURCES = t_erfa_c.c +AM_CPPFLAGS = -I$(top_srcdir) +LDADD = $(top_builddir)/src/liberfa.la diff --git a/ast/erfa/README.rst b/ast/erfa/README.rst new file mode 100644 index 0000000..bab79b8 --- /dev/null +++ b/ast/erfa/README.rst @@ -0,0 +1,77 @@ +This is the source code repository for ERFA (Essential Routines for +Fundamental Astronomy). ERFA is a C library containing key algorithms for +astronomy, and is based on the `SOFA library <http://www.iausofa.org/>`_ published by the International +Astronomical Union (IAU). + +ERFA is intended to replicate the functionality of SOFA (aside from possible +bugfixes in ERFA that have not yet been included in SOFA), but is licensed +under a three-clause BSD license to enable its compatibility with a wide +range of open source licenses. Permission for this release has been +obtained from the SOFA board, and is avilable in the ``LICENSE`` file included +in this source distribution. + +Differences from SOFA +--------------------- + +This version of ERFA (v1.1.0) is based on SOFA version "20131202_b", with the +differences outlined below. + +ERFA branding +^^^^^^^^^^^^^ + +All references to "SOFA" in the source code have been changed to ERFA, and +functions have the prefix ``era`` instead of ``iau``. + +C macro prefixes +^^^^^^^^^^^^^^^^ + +All C macros used in ERFA are the same as their SOFA equivalents, but with an +``ERFA_`` prefix to prevent namespace collisions. + +Building and installing ERFA +---------------------------- + +To build and install a released version of ERFA in your OS's standard +location, simply do:: + + ./configure + make + make install + +If you want to run the tests to make sure ERFA built correctly, before +installing do:: + + make check + + +For developers +^^^^^^^^^^^^^^ + +If you are using a developer version from github, you will need to first do +``./bootstrap.sh`` before the above commands. This requires ``autoconf`` and +``libtool``. + +If you wish to build against the ERFA static library without installing, you +will find it in ``$ERFAROOT/src/.libs/liberfa.a`` after running ``make``. + +Creating a single-file version of the source code +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Alternatively, if you wish to bundle the ERFA source code with a separate +package, you can use the ``source_flattener.py`` script from the +`erfa-fetch repository`_ to combine +the ERFA source code into just two files: a ``erfa.c`` source file, and an +``erfa.h`` include file. You should run this script like this:: + + cd /path/to/erfa-source-code + python /path/to/erfa-fetch/source_flattener.py src -n erfa + +If possible, however, it is recommended that you provide an option to use any +copy of the ERFA library that is already installed on the system. + +Travis build status +------------------- +.. image:: https://travis-ci.org/liberfa/erfa.png + :target: https://travis-ci.org/liberfa/erfa + +.. _erfa-fetch repository: https://github.com/liberfa/erfa-fetch diff --git a/ast/erfa/RELEASE.rst b/ast/erfa/RELEASE.rst new file mode 100644 index 0000000..c17fd7b --- /dev/null +++ b/ast/erfa/RELEASE.rst @@ -0,0 +1,177 @@ +Instructions for releasing ERFA +=============================== + +* Clone the ERFA repository from github (if you haven't already done so), + and change to the ERFA directory. + +* Make sure you are on the "master" branch from the "liberfa" github + repository and have the latest version (if you have a fresh clone, this + should already be the case). + +* If a new version of SOFA exists, run `sofa_deriver.py` from the `erfa-fetch + repository`_ in its own directory. That will create a directory called `erfa` + inside the `erfa-fetch` directory, and you should copy its contents to the + `src` directory of `erfa`. Use ``git diff`` in `erfa` to inspect the changes, + and then commit and push them to github. + +* Update the version number in the `AC_INIT` macro of `configure.ac` to + the version number you are about to release, and also update the version + mentioned in `README.rst`. Follow the instructions in + `Version numbering` below. + +* Update the version info of the shared library in the `ERFA_LIB_VERSION_INFO` + macro of `configure.ac`. Follow the instructions in `Version numbering` below. + +* Commit these changes using ``git commit``, with a commit message like + ``Preparing release v0.0.1``. + +* Run `./bootstrap.sh`: you need `automake`, `autoconf` and `libtool` + installed. If no errors appear, this will create a new `./configure` + file. + +* Run ``./configure``, which should create a `Makefile` in the top level + directory and in ./src + +* Run ``make check``, which will build the library and run the tests - + make sure they pass before proceeding. + +* Run ``make distcheck``: this creates the distribution tarball, + unpackages it and runs the check inside the untarred directory. + The resulting tarball will be named e.g., `erfa-0.0.1.tar.gz` and + will be placed in the working directory. + +* Tag the current commit with the version number. A signed tag is preferred if you have an a signing key (e.g., do ``git tag -s v0.0.1``). + +* Push up your changes and the new tag to github: + ``git push --tags origin master``. (The command here assumes the git remote + "origin" points to the "liberfa/erfa" repository. If not, substitute the + appropriate name.) + +* Go to the "liberfa/erfa" repository for the github page, and click on the + "releases" button, and then the release corresponding to the tag you just + made. + +* Click on the "Draft release notes or downloads" button (or it might be "Edit release"). Put the version number as + the title (e.g., ``v0.0.1``)and for the description put + ``See `README.rst` for release notes.`` + +* Upload the tarball you created (e.g., `erfa-0.0.1.tar.gz`) by dropping it + in the area that says "Attach binaries for this release by dropping them + here." + +* Click the "Publish release" button. + +* Update the release listing on Github Pages to include this release: + Do ``git checkout gh-pages``, add a new ``<li>...</li>`` entry for the + release in `index.html`, do ``git commit``, and then + ``git push origin gh-pages``. + +Version numbering +================= + +ERFA needs to provide two different version numbers. You need to update both. +The first is the +**package version number** or **version number** proper. ERFA uses +`semantic versioning <http://semver.org/>`_ to create this number. +For more on this choice, see +`liberfa/erfa#6 <https://github.com/liberfa/erfa/issues/6>`_. + +The second number is `shared library version info`. When a program has been +linked with the ERFA shared library, the dynamic linker checks the version +info of the library requested by the program with those of the libraries +present if the system. This version info is important to binary distributions +(such as Linux distributions). ERFA uses `libtool versioning <http://www.gnu.org/software/libtool/manual/html_node/Libtool-versioning.html>`_. + + +Package version number +---------------------- + +Semantic versioning dictates how to change the version number according to +changes to the API of the library. In the case of ERFA the API is: + + * The public C macros defined in erfam.h + * The names, return types, number of arguments and types of the functions in erfa.h + +To update the package version, the release manager has to check the relevant +information about the release, such as: + + * upstream SOFA documentation in http://www.iausofa.org/current_changes.html + * relevant bug reports in the github project page + +If the version is given in the form MAJOR.MINOR.PATCH, then + + * if there is a backwards incompatible change (function removed, types of + arguments altered, macros renamed...) then increase MAJOR by one and set + the others to zero. + * else if there is backwards compatible change (new function added or + new macro added) then do not change MAJOR, increase MINOR by one and + set PATCH to zero. + * else + you are either fixing a bug or making other improvements. Increase + patch by one and do not change the others. + +Change the version number in the `AC_INIT` macro and in `README.rst` + +Shared library version info +--------------------------- + +For the shared library version info, we are only interested in a subset of +the API, the **interfaces of the shared library**. As the C macros are +interpolated away at compile time, the interfaces in the ERFA +shared library are: + + * The names, return types, number of arguments and types of the functions + +Again, the release manager has to review the relevant information: + + * upstream SOFA documentation in http://www.iausofa.org/current_changes.html + * relevant bug reports in the github project page + +The shared library version info is stored in three numbers called *current*, *revision* and *age*. These numbers appear in the macro `ERFA_LIB_VERSION_INFO` in +the mentioned order. + +If the version is given in the form CURRENT,REVISION,AGE then + + * if there is a backwards incompatible change (function removed, types of + arguments altered...) then increase CURRENT by one and set + the others to zero (c,r,a -> c+1,0,0). + * else if there is backwards compatible change (new function added) + then increase both CURRENT and AGE by one, set REVISON to zero + (c,r,a -> c+1,0,a+1). + * else if the library code has been modified at all + then increase REVISION by one (c,r,a -> c,r+1,a) + * else + do not change the version info (c,r,a -> c,r,a) + +Change the verion info in `ERFA_LIB_VERSION_INFO` + +Examples +--------- +We start with ERFA version 1.0.0 and library version info 0,0,0 + +* SOFA makes a new release. A function is added and two functions change their + arguments. This is a backawars incompatible change, so the new package will + have version 2.0.0 and the shared library version info will be 1,0,0 + +* We forgot to add README.rst to the release. We make a new one. The change + is a bugfix (no API changes), the new release will be 2.0.1. The shared + library version is not modified (no changes in the library source code). + +* SOFA makes a new release. They just add a new function. The new package + version will be 2.1.0. The shared library info will be 2,0,1 (both current + and age are incremented). + +* SOFA makes a new relase fixing some bugs in the code without changing the + API. New package version is 2.1.1. The shared library version is 2,1,1 + +* A contributor finds a bug in ERFA. The fix doesn't change the API. New + package version is 2.1.2. The shared library version is 2,2,1 + +* SOFA makes a new release incorporating the bug fix and adding new functions. + The new package version is 2.2.0. The shared library version is 3,0,2 + +* SOFA makes a new release removing functions. This is a backawars + incompatible change, so the new package will + have version 3.0.0 and the shared library version info will be 4,0,0 + +.. _erfa-fetch repository: https://github.com/liberfa/erfa-fetch diff --git a/ast/erfa/a2af.c b/ast/erfa/a2af.c new file mode 100644 index 0000000..3c4b1c7 --- /dev/null +++ b/ast/erfa/a2af.c @@ -0,0 +1,129 @@ +#include "erfa.h" + +void eraA2af(int ndp, double angle, char *sign, int idmsf[4]) +/* +** - - - - - - - - +** e r a A 2 a f +** - - - - - - - - +** +** Decompose radians into degrees, arcminutes, arcseconds, fraction. +** +** Given: +** ndp int resolution (Note 1) +** angle double angle in radians +** +** Returned: +** sign char '+' or '-' +** idmsf int[4] degrees, arcminutes, arcseconds, fraction +** +** Called: +** eraD2tf decompose days to hms +** +** Notes: +** +** 1) The argument ndp is interpreted as follows: +** +** ndp resolution +** : ...0000 00 00 +** -7 1000 00 00 +** -6 100 00 00 +** -5 10 00 00 +** -4 1 00 00 +** -3 0 10 00 +** -2 0 01 00 +** -1 0 00 10 +** 0 0 00 01 +** 1 0 00 00.1 +** 2 0 00 00.01 +** 3 0 00 00.001 +** : 0 00 00.000... +** +** 2) The largest positive useful value for ndp is determined by the +** size of angle, the format of doubles on the target platform, and +** the risk of overflowing idmsf[3]. On a typical platform, for +** angle up to 2pi, the available floating-point precision might +** correspond to ndp=12. However, the practical limit is typically +** ndp=9, set by the capacity of a 32-bit int, or ndp=4 if int is +** only 16 bits. +** +** 3) The absolute value of angle may exceed 2pi. In cases where it +** does not, it is up to the caller to test for and handle the +** case where angle is very nearly 2pi and rounds up to 360 degrees, +** by testing for idmsf[0]=360 and setting idmsf[0-3] to zero. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Hours to degrees * radians to turns */ + const double F = 15.0 / ERFA_D2PI; + + +/* Scale then use days to h,m,s function. */ + eraD2tf(ndp, angle*F, sign, idmsf); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/a2tf.c b/ast/erfa/a2tf.c new file mode 100644 index 0000000..e91370c --- /dev/null +++ b/ast/erfa/a2tf.c @@ -0,0 +1,125 @@ +#include "erfa.h" + +void eraA2tf(int ndp, double angle, char *sign, int ihmsf[4]) +/* +** - - - - - - - - +** e r a A 2 t f +** - - - - - - - - +** +** Decompose radians into hours, minutes, seconds, fraction. +** +** Given: +** ndp int resolution (Note 1) +** angle double angle in radians +** +** Returned: +** sign char '+' or '-' +** ihmsf int[4] hours, minutes, seconds, fraction +** +** Called: +** eraD2tf decompose days to hms +** +** Notes: +** +** 1) The argument ndp is interpreted as follows: +** +** ndp resolution +** : ...0000 00 00 +** -7 1000 00 00 +** -6 100 00 00 +** -5 10 00 00 +** -4 1 00 00 +** -3 0 10 00 +** -2 0 01 00 +** -1 0 00 10 +** 0 0 00 01 +** 1 0 00 00.1 +** 2 0 00 00.01 +** 3 0 00 00.001 +** : 0 00 00.000... +** +** 2) The largest positive useful value for ndp is determined by the +** size of angle, the format of doubles on the target platform, and +** the risk of overflowing ihmsf[3]. On a typical platform, for +** angle up to 2pi, the available floating-point precision might +** correspond to ndp=12. However, the practical limit is typically +** ndp=9, set by the capacity of a 32-bit int, or ndp=4 if int is +** only 16 bits. +** +** 3) The absolute value of angle may exceed 2pi. In cases where it +** does not, it is up to the caller to test for and handle the +** case where angle is very nearly 2pi and rounds up to 24 hours, +** by testing for ihmsf[0]=24 and setting ihmsf[0-3] to zero. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Scale then use days to h,m,s function. */ + eraD2tf(ndp, angle/ERFA_D2PI, sign, ihmsf); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ab.c b/ast/erfa/ab.c new file mode 100644 index 0000000..f662103 --- /dev/null +++ b/ast/erfa/ab.c @@ -0,0 +1,137 @@ +#include "erfa.h" + +void eraAb(double pnat[3], double v[3], double s, double bm1, + double ppr[3]) +/* +** - - - - - - +** e r a A b +** - - - - - - +** +** Apply aberration to transform natural direction into proper +** direction. +** +** Given: +** pnat double[3] natural direction to the source (unit vector) +** v double[3] observer barycentric velocity in units of c +** s double distance between the Sun and the observer (au) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** +** Returned: +** ppr double[3] proper direction to source (unit vector) +** +** Notes: +** +** 1) The algorithm is based on Expr. (7.40) in the Explanatory +** Supplement (Urban & Seidelmann 2013), but with the following +** changes: +** +** o Rigorous rather than approximate normalization is applied. +** +** o The gravitational potential term from Expr. (7) in +** Klioner (2003) is added, taking into account only the Sun's +** contribution. This has a maximum effect of about +** 0.4 microarcsecond. +** +** 2) In almost all cases, the maximum accuracy will be limited by the +** supplied velocity. For example, if the ERFA eraEpv00 function is +** used, errors of up to 5 microarcseconds could occur. +** +** References: +** +** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to +** the Astronomical Almanac, 3rd ed., University Science Books +** (2013). +** +** Klioner, Sergei A., "A practical relativistic model for micro- +** arcsecond astrometry in space", Astr. J. 125, 1580-1597 (2003). +** +** Called: +** eraPdp scalar product of two p-vectors +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int i; + double pdv, w1, w2, r2, w, p[3], r; + + + pdv = eraPdp(pnat, v); + w1 = 1.0 + pdv/(1.0 + bm1); + w2 = ERFA_SRS/s; + r2 = 0.0; + for (i = 0; i < 3; i++) { + w = pnat[i]*bm1 + w1*v[i] + w2*(v[i] - pdv*pnat[i]); + p[i] = w; + r2 = r2 + w*w; + } + r = sqrt(r2); + for (i = 0; i < 3; i++) { + ppr[i] = p[i]/r; + } + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/af2a.c b/ast/erfa/af2a.c new file mode 100644 index 0000000..c75e40f --- /dev/null +++ b/ast/erfa/af2a.c @@ -0,0 +1,116 @@ +#include "erfa.h" +#include <stdlib.h> + +int eraAf2a(char s, int ideg, int iamin, double asec, double *rad) +/* +** - - - - - - - - +** e r a A f 2 a +** - - - - - - - - +** +** Convert degrees, arcminutes, arcseconds to radians. +** +** Given: +** s char sign: '-' = negative, otherwise positive +** ideg int degrees +** iamin int arcminutes +** asec double arcseconds +** +** Returned: +** rad double angle in radians +** +** Returned (function value): +** int status: 0 = OK +** 1 = ideg outside range 0-359 +** 2 = iamin outside range 0-59 +** 3 = asec outside range 0-59.999... +** +** Notes: +** +** 1) The result is computed even if any of the range checks fail. +** +** 2) Negative ideg, iamin and/or asec produce a warning status, but +** the absolute value is used in the conversion. +** +** 3) If there are multiple errors, the status value reflects only the +** first, the smallest taking precedence. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* Compute the interval. */ + *rad = ( s == '-' ? -1.0 : 1.0 ) * + ( 60.0 * ( 60.0 * ( (double) abs(ideg) ) + + ( (double) abs(iamin) ) ) + + fabs(asec) ) * ERFA_DAS2R; + +/* Validate arguments and return status. */ + if ( ideg < 0 || ideg > 359 ) return 1; + if ( iamin < 0 || iamin > 59 ) return 2; + if ( asec < 0.0 || asec >= 60.0 ) return 3; + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/anp.c b/ast/erfa/anp.c new file mode 100644 index 0000000..70d45ef --- /dev/null +++ b/ast/erfa/anp.c @@ -0,0 +1,91 @@ +#include "erfa.h" + +double eraAnp(double a) +/* +** - - - - - - - +** e r a A n p +** - - - - - - - +** +** Normalize angle into the range 0 <= a < 2pi. +** +** Given: +** a double angle (radians) +** +** Returned (function value): +** double angle in range 0-2pi +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double w; + + + w = fmod(a, ERFA_D2PI); + if (w < 0) w += ERFA_D2PI; + + return w; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/anpm.c b/ast/erfa/anpm.c new file mode 100644 index 0000000..db87a45 --- /dev/null +++ b/ast/erfa/anpm.c @@ -0,0 +1,91 @@ +#include "erfa.h" + +double eraAnpm(double a) +/* +** - - - - - - - - +** e r a A n p m +** - - - - - - - - +** +** Normalize angle into the range -pi <= a < +pi. +** +** Given: +** a double angle (radians) +** +** Returned (function value): +** double angle in range +/-pi +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double w; + + + w = fmod(a, ERFA_D2PI); + if (fabs(w) >= ERFA_DPI) w -= ERFA_DSIGN(ERFA_D2PI, a); + + return w; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/apcg.c b/ast/erfa/apcg.c new file mode 100644 index 0000000..7ee6fa3 --- /dev/null +++ b/ast/erfa/apcg.c @@ -0,0 +1,181 @@ +#include "erfa.h" + +void eraApcg(double date1, double date2, + double ebpv[2][3], double ehp[3], + eraASTROM *astrom) +/* +** - - - - - - - - +** e r a A p c g +** - - - - - - - - +** +** For a geocentric observer, prepare star-independent astrometry +** parameters for transformations between ICRS and GCRS coordinates. +** The Earth ephemeris is supplied by the caller. +** +** The parameters produced by this function are required in the +** parallax, light deflection and aberration parts of the astrometric +** transformation chain. +** +** Given: +** date1 double TDB as a 2-part... +** date2 double ...Julian Date (Note 1) +** ebpv double[2][3] Earth barycentric pos/vel (au, au/day) +** ehp double[3] Earth heliocentric position (au) +** +** Returned: +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double unchanged +** xpl double unchanged +** ypl double unchanged +** sphi double unchanged +** cphi double unchanged +** diurab double unchanged +** eral double unchanged +** refa double unchanged +** refb double unchanged +** +** Notes: +** +** 1) The TDB date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TDB)=2450123.7 could be expressed in any of these ways, among +** others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 method is best matched to the way the +** argument is handled internally and will deliver the optimum +** resolution. The MJD method and the date & time methods are both +** good compromises between resolution and convenience. For most +** applications of this function the choice will not be at all +** critical. +** +** TT can be used instead of TDB without any significant impact on +** accuracy. +** +** 2) All the vectors are with respect to BCRS axes. +** +** 3) This is one of several functions that inserts into the astrom +** structure star-independent parameters needed for the chain of +** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. +** +** The various functions support different classes of observer and +** portions of the transformation chain: +** +** functions observer transformation +** +** eraApcg eraApcg13 geocentric ICRS <-> GCRS +** eraApci eraApci13 terrestrial ICRS <-> CIRS +** eraApco eraApco13 terrestrial ICRS <-> observed +** eraApcs eraApcs13 space ICRS <-> GCRS +** eraAper eraAper13 terrestrial update Earth rotation +** eraApio eraApio13 terrestrial CIRS <-> observed +** +** Those with names ending in "13" use contemporary ERFA models to +** compute the various ephemerides. The others accept ephemerides +** supplied by the caller. +** +** The transformation from ICRS to GCRS covers space motion, +** parallax, light deflection, and aberration. From GCRS to CIRS +** comprises frame bias and precession-nutation. From CIRS to +** observed takes account of Earth rotation, polar motion, diurnal +** aberration and parallax (unless subsumed into the ICRS <-> GCRS +** transformation), and atmospheric refraction. +** +** 4) The context structure astrom produced by this function is used by +** eraAtciq* and eraAticq*. +** +** Called: +** eraApcs astrometry parameters, ICRS-GCRS, space observer +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Geocentric observer */ + double pv[2][3] = { { 0.0, 0.0, 0.0 }, + { 0.0, 0.0, 0.0 } }; + + +/* Compute the star-independent astrometry parameters. */ + eraApcs(date1, date2, pv, ebpv, ehp, astrom); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/apcg13.c b/ast/erfa/apcg13.c new file mode 100644 index 0000000..baa00be --- /dev/null +++ b/ast/erfa/apcg13.c @@ -0,0 +1,184 @@ +#include "erfa.h" + +void eraApcg13(double date1, double date2, eraASTROM *astrom) +/* +** - - - - - - - - - - +** e r a A p c g 1 3 +** - - - - - - - - - - +** +** For a geocentric observer, prepare star-independent astrometry +** parameters for transformations between ICRS and GCRS coordinates. +** The caller supplies the date, and ERFA models are used to predict +** the Earth ephemeris. +** +** The parameters produced by this function are required in the +** parallax, light deflection and aberration parts of the astrometric +** transformation chain. +** +** Given: +** date1 double TDB as a 2-part... +** date2 double ...Julian Date (Note 1) +** +** Returned: +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double unchanged +** xpl double unchanged +** ypl double unchanged +** sphi double unchanged +** cphi double unchanged +** diurab double unchanged +** eral double unchanged +** refa double unchanged +** refb double unchanged +** +** Notes: +** +** 1) The TDB date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TDB)=2450123.7 could be expressed in any of these ways, among +** others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 method is best matched to the way the +** argument is handled internally and will deliver the optimum +** resolution. The MJD method and the date & time methods are both +** good compromises between resolution and convenience. For most +** applications of this function the choice will not be at all +** critical. +** +** TT can be used instead of TDB without any significant impact on +** accuracy. +** +** 2) All the vectors are with respect to BCRS axes. +** +** 3) In cases where the caller wishes to supply his own Earth +** ephemeris, the function eraApcg can be used instead of the present +** function. +** +** 4) This is one of several functions that inserts into the astrom +** structure star-independent parameters needed for the chain of +** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. +** +** The various functions support different classes of observer and +** portions of the transformation chain: +** +** functions observer transformation +** +** eraApcg eraApcg13 geocentric ICRS <-> GCRS +** eraApci eraApci13 terrestrial ICRS <-> CIRS +** eraApco eraApco13 terrestrial ICRS <-> observed +** eraApcs eraApcs13 space ICRS <-> GCRS +** eraAper eraAper13 terrestrial update Earth rotation +** eraApio eraApio13 terrestrial CIRS <-> observed +** +** Those with names ending in "13" use contemporary ERFA models to +** compute the various ephemerides. The others accept ephemerides +** supplied by the caller. +** +** The transformation from ICRS to GCRS covers space motion, +** parallax, light deflection, and aberration. From GCRS to CIRS +** comprises frame bias and precession-nutation. From CIRS to +** observed takes account of Earth rotation, polar motion, diurnal +** aberration and parallax (unless subsumed into the ICRS <-> GCRS +** transformation), and atmospheric refraction. +** +** 5) The context structure astrom produced by this function is used by +** eraAtciq* and eraAticq*. +** +** Called: +** eraEpv00 Earth position and velocity +** eraApcg astrometry parameters, ICRS-GCRS, geocenter +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double ehpv[2][3], ebpv[2][3]; + + +/* Earth barycentric & heliocentric position/velocity (au, au/d). */ + (void) eraEpv00(date1, date2, ehpv, ebpv); + +/* Compute the star-independent astrometry parameters. */ + eraApcg(date1, date2, ebpv, ehpv[0], astrom); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/apci.c b/ast/erfa/apci.c new file mode 100644 index 0000000..ee84865 --- /dev/null +++ b/ast/erfa/apci.c @@ -0,0 +1,190 @@ +#include "erfa.h" + +void eraApci(double date1, double date2, + double ebpv[2][3], double ehp[3], + double x, double y, double s, + eraASTROM *astrom) +/* +** - - - - - - - - +** e r a A p c i +** - - - - - - - - +** +** For a terrestrial observer, prepare star-independent astrometry +** parameters for transformations between ICRS and geocentric CIRS +** coordinates. The Earth ephemeris and CIP/CIO are supplied by the +** caller. +** +** The parameters produced by this function are required in the +** parallax, light deflection, aberration, and bias-precession-nutation +** parts of the astrometric transformation chain. +** +** Given: +** date1 double TDB as a 2-part... +** date2 double ...Julian Date (Note 1) +** ebpv double[2][3] Earth barycentric position/velocity (au, au/day) +** ehp double[3] Earth heliocentric position (au) +** x,y double CIP X,Y (components of unit vector) +** s double the CIO locator s (radians) +** +** Returned: +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double unchanged +** xpl double unchanged +** ypl double unchanged +** sphi double unchanged +** cphi double unchanged +** diurab double unchanged +** eral double unchanged +** refa double unchanged +** refb double unchanged +** +** Notes: +** +** 1) The TDB date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TDB)=2450123.7 could be expressed in any of these ways, among +** others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 method is best matched to the way the +** argument is handled internally and will deliver the optimum +** resolution. The MJD method and the date & time methods are both +** good compromises between resolution and convenience. For most +** applications of this function the choice will not be at all +** critical. +** +** TT can be used instead of TDB without any significant impact on +** accuracy. +** +** 2) All the vectors are with respect to BCRS axes. +** +** 3) In cases where the caller does not wish to provide the Earth +** ephemeris and CIP/CIO, the function eraApci13 can be used instead +** of the present function. This computes the required quantities +** using other ERFA functions. +** +** 4) This is one of several functions that inserts into the astrom +** structure star-independent parameters needed for the chain of +** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. +** +** The various functions support different classes of observer and +** portions of the transformation chain: +** +** functions observer transformation +** +** eraApcg eraApcg13 geocentric ICRS <-> GCRS +** eraApci eraApci13 terrestrial ICRS <-> CIRS +** eraApco eraApco13 terrestrial ICRS <-> observed +** eraApcs eraApcs13 space ICRS <-> GCRS +** eraAper eraAper13 terrestrial update Earth rotation +** eraApio eraApio13 terrestrial CIRS <-> observed +** +** Those with names ending in "13" use contemporary ERFA models to +** compute the various ephemerides. The others accept ephemerides +** supplied by the caller. +** +** The transformation from ICRS to GCRS covers space motion, +** parallax, light deflection, and aberration. From GCRS to CIRS +** comprises frame bias and precession-nutation. From CIRS to +** observed takes account of Earth rotation, polar motion, diurnal +** aberration and parallax (unless subsumed into the ICRS <-> GCRS +** transformation), and atmospheric refraction. +** +** 5) The context structure astrom produced by this function is used by +** eraAtciq* and eraAticq*. +** +** Called: +** eraApcg astrometry parameters, ICRS-GCRS, geocenter +** eraC2ixys celestial-to-intermediate matrix, given X,Y and s +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* Star-independent astrometry parameters for geocenter. */ + eraApcg(date1, date2, ebpv, ehp, astrom); + +/* CIO based BPN matrix. */ + eraC2ixys(x, y, s, astrom->bpn); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/apci13.c b/ast/erfa/apci13.c new file mode 100644 index 0000000..d1e7e8d --- /dev/null +++ b/ast/erfa/apci13.c @@ -0,0 +1,202 @@ +#include "erfa.h" + +void eraApci13(double date1, double date2, + eraASTROM *astrom, double *eo) +/* +** - - - - - - - - - - +** e r a A p c i 1 3 +** - - - - - - - - - - +** +** For a terrestrial observer, prepare star-independent astrometry +** parameters for transformations between ICRS and geocentric CIRS +** coordinates. The caller supplies the date, and ERFA models are used +** to predict the Earth ephemeris and CIP/CIO. +** +** The parameters produced by this function are required in the +** parallax, light deflection, aberration, and bias-precession-nutation +** parts of the astrometric transformation chain. +** +** Given: +** date1 double TDB as a 2-part... +** date2 double ...Julian Date (Note 1) +** +** Returned: +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double unchanged +** xpl double unchanged +** ypl double unchanged +** sphi double unchanged +** cphi double unchanged +** diurab double unchanged +** eral double unchanged +** refa double unchanged +** refb double unchanged +** eo double* equation of the origins (ERA-GST) +** +** Notes: +** +** 1) The TDB date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TDB)=2450123.7 could be expressed in any of these ways, among +** others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 method is best matched to the way the +** argument is handled internally and will deliver the optimum +** resolution. The MJD method and the date & time methods are both +** good compromises between resolution and convenience. For most +** applications of this function the choice will not be at all +** critical. +** +** TT can be used instead of TDB without any significant impact on +** accuracy. +** +** 2) All the vectors are with respect to BCRS axes. +** +** 3) In cases where the caller wishes to supply his own Earth +** ephemeris and CIP/CIO, the function eraApci can be used instead +** of the present function. +** +** 4) This is one of several functions that inserts into the astrom +** structure star-independent parameters needed for the chain of +** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. +** +** The various functions support different classes of observer and +** portions of the transformation chain: +** +** functions observer transformation +** +** eraApcg eraApcg13 geocentric ICRS <-> GCRS +** eraApci eraApci13 terrestrial ICRS <-> CIRS +** eraApco eraApco13 terrestrial ICRS <-> observed +** eraApcs eraApcs13 space ICRS <-> GCRS +** eraAper eraAper13 terrestrial update Earth rotation +** eraApio eraApio13 terrestrial CIRS <-> observed +** +** Those with names ending in "13" use contemporary ERFA models to +** compute the various ephemerides. The others accept ephemerides +** supplied by the caller. +** +** The transformation from ICRS to GCRS covers space motion, +** parallax, light deflection, and aberration. From GCRS to CIRS +** comprises frame bias and precession-nutation. From CIRS to +** observed takes account of Earth rotation, polar motion, diurnal +** aberration and parallax (unless subsumed into the ICRS <-> GCRS +** transformation), and atmospheric refraction. +** +** 5) The context structure astrom produced by this function is used by +** eraAtciq* and eraAticq*. +** +** Called: +** eraEpv00 Earth position and velocity +** eraPnm06a classical NPB matrix, IAU 2006/2000A +** eraBpn2xy extract CIP X,Y coordinates from NPB matrix +** eraS06 the CIO locator s, given X,Y, IAU 2006 +** eraApci astrometry parameters, ICRS-CIRS +** eraEors equation of the origins, given NPB matrix and s +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double ehpv[2][3], ebpv[2][3], r[3][3], x, y, s; + + +/* Earth barycentric & heliocentric position/velocity (au, au/d). */ + (void) eraEpv00(date1, date2, ehpv, ebpv); + +/* Form the equinox based BPN matrix, IAU 2006/2000A. */ + eraPnm06a(date1, date2, r); + +/* Extract CIP X,Y. */ + eraBpn2xy(r, &x, &y); + +/* Obtain CIO locator s. */ + s = eraS06(date1, date2, x, y); + +/* Compute the star-independent astrometry parameters. */ + eraApci(date1, date2, ebpv, ehpv[0], x, y, s, astrom); + +/* Equation of the origins. */ + *eo = eraEors(r, s); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/apco.c b/ast/erfa/apco.c new file mode 100644 index 0000000..6681412 --- /dev/null +++ b/ast/erfa/apco.c @@ -0,0 +1,264 @@ +#include "erfa.h" + +void eraApco(double date1, double date2, + double ebpv[2][3], double ehp[3], + double x, double y, double s, double theta, + double elong, double phi, double hm, + double xp, double yp, double sp, + double refa, double refb, + eraASTROM *astrom) +/* +** - - - - - - - - +** e r a A p c o +** - - - - - - - - +** +** For a terrestrial observer, prepare star-independent astrometry +** parameters for transformations between ICRS and observed +** coordinates. The caller supplies the Earth ephemeris, the Earth +** rotation information and the refraction constants as well as the +** site coordinates. +** +** Given: +** date1 double TDB as a 2-part... +** date2 double ...Julian Date (Note 1) +** ebpv double[2][3] Earth barycentric PV (au, au/day, Note 2) +** ehp double[3] Earth heliocentric P (au, Note 2) +** x,y double CIP X,Y (components of unit vector) +** s double the CIO locator s (radians) +** theta double Earth rotation angle (radians) +** elong double longitude (radians, east +ve, Note 3) +** phi double latitude (geodetic, radians, Note 3) +** hm double height above ellipsoid (m, geodetic, Note 3) +** xp,yp double polar motion coordinates (radians, Note 4) +** sp double the TIO locator s' (radians, Note 4) +** refa double refraction constant A (radians, Note 5) +** refb double refraction constant B (radians, Note 5) +** +** Returned: +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double longitude + s' (radians) +** xpl double polar motion xp wrt local meridian (radians) +** ypl double polar motion yp wrt local meridian (radians) +** sphi double sine of geodetic latitude +** cphi double cosine of geodetic latitude +** diurab double magnitude of diurnal aberration vector +** eral double "local" Earth rotation angle (radians) +** refa double refraction constant A (radians) +** refb double refraction constant B (radians) +** +** Notes: +** +** 1) The TDB date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TDB)=2450123.7 could be expressed in any of these ways, among +** others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 method is best matched to the way the +** argument is handled internally and will deliver the optimum +** resolution. The MJD method and the date & time methods are both +** good compromises between resolution and convenience. For most +** applications of this function the choice will not be at all +** critical. +** +** TT can be used instead of TDB without any significant impact on +** accuracy. +** +** 2) The vectors eb, eh, and all the astrom vectors, are with respect +** to BCRS axes. +** +** 3) The geographical coordinates are with respect to the ERFA_WGS84 +** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN +** CONVENTION: the longitude required by the present function is +** right-handed, i.e. east-positive, in accordance with geographical +** convention. +** +** 4) xp and yp are the coordinates (in radians) of the Celestial +** Intermediate Pole with respect to the International Terrestrial +** Reference System (see IERS Conventions), measured along the +** meridians 0 and 90 deg west respectively. sp is the TIO locator +** s', in radians, which positions the Terrestrial Intermediate +** Origin on the equator. For many applications, xp, yp and +** (especially) sp can be set to zero. +** +** Internally, the polar motion is stored in a form rotated onto the +** local meridian. +** +** 5) The refraction constants refa and refb are for use in a +** dZ = A*tan(Z)+B*tan^3(Z) model, where Z is the observed +** (i.e. refracted) zenith distance and dZ is the amount of +** refraction. +** +** 6) It is advisable to take great care with units, as even unlikely +** values of the input parameters are accepted and processed in +** accordance with the models used. +** +** 7) In cases where the caller does not wish to provide the Earth +** Ephemeris, the Earth rotation information and refraction +** constants, the function eraApco13 can be used instead of the +** present function. This starts from UTC and weather readings etc. +** and computes suitable values using other ERFA functions. +** +** 8) This is one of several functions that inserts into the astrom +** structure star-independent parameters needed for the chain of +** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. +** +** The various functions support different classes of observer and +** portions of the transformation chain: +** +** functions observer transformation +** +** eraApcg eraApcg13 geocentric ICRS <-> GCRS +** eraApci eraApci13 terrestrial ICRS <-> CIRS +** eraApco eraApco13 terrestrial ICRS <-> observed +** eraApcs eraApcs13 space ICRS <-> GCRS +** eraAper eraAper13 terrestrial update Earth rotation +** eraApio eraApio13 terrestrial CIRS <-> observed +** +** Those with names ending in "13" use contemporary ERFA models to +** compute the various ephemerides. The others accept ephemerides +** supplied by the caller. +** +** The transformation from ICRS to GCRS covers space motion, +** parallax, light deflection, and aberration. From GCRS to CIRS +** comprises frame bias and precession-nutation. From CIRS to +** observed takes account of Earth rotation, polar motion, diurnal +** aberration and parallax (unless subsumed into the ICRS <-> GCRS +** transformation), and atmospheric refraction. +** +** 9) The context structure astrom produced by this function is used by +** eraAtioq, eraAtoiq, eraAtciq* and eraAticq*. +** +** Called: +** eraAper astrometry parameters: update ERA +** eraC2ixys celestial-to-intermediate matrix, given X,Y and s +** eraPvtob position/velocity of terrestrial station +** eraTrxpv product of transpose of r-matrix and pv-vector +** eraApcs astrometry parameters, ICRS-GCRS, space observer +** eraCr copy r-matrix +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double sl, cl, r[3][3], pvc[2][3], pv[2][3]; + + +/* Longitude with adjustment for TIO locator s'. */ + astrom->along = elong + sp; + +/* Polar motion, rotated onto the local meridian. */ + sl = sin(astrom->along); + cl = cos(astrom->along); + astrom->xpl = xp*cl - yp*sl; + astrom->ypl = xp*sl + yp*cl; + +/* Functions of latitude. */ + astrom->sphi = sin(phi); + astrom->cphi = cos(phi); + +/* Refraction constants. */ + astrom->refa = refa; + astrom->refb = refb; + +/* Local Earth rotation angle. */ + eraAper(theta, astrom); + +/* Disable the (redundant) diurnal aberration step. */ + astrom->diurab = 0.0; + +/* CIO based BPN matrix. */ + eraC2ixys(x, y, s, r); + +/* Observer's geocentric position and velocity (m, m/s, CIRS). */ + eraPvtob(elong, phi, hm, xp, yp, sp, theta, pvc); + +/* Rotate into GCRS. */ + eraTrxpv(r, pvc, pv); + +/* ICRS <-> GCRS parameters. */ + eraApcs(date1, date2, pv, ebpv, ehp, astrom); + +/* Store the CIO based BPN matrix. */ + eraCr(r, astrom->bpn ); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/apco13.c b/ast/erfa/apco13.c new file mode 100644 index 0000000..e0374db --- /dev/null +++ b/ast/erfa/apco13.c @@ -0,0 +1,287 @@ +#include "erfa.h" + +int eraApco13(double utc1, double utc2, double dut1, + double elong, double phi, double hm, double xp, double yp, + double phpa, double tc, double rh, double wl, + eraASTROM *astrom, double *eo) +/* +** - - - - - - - - - - +** e r a A p c o 1 3 +** - - - - - - - - - - +** +** For a terrestrial observer, prepare star-independent astrometry +** parameters for transformations between ICRS and observed +** coordinates. The caller supplies UTC, site coordinates, ambient air +** conditions and observing wavelength, and ERFA models are used to +** obtain the Earth ephemeris, CIP/CIO and refraction constants. +** +** The parameters produced by this function are required in the +** parallax, light deflection, aberration, and bias-precession-nutation +** parts of the ICRS/CIRS transformations. +** +** Given: +** utc1 double UTC as a 2-part... +** utc2 double ...quasi Julian Date (Notes 1,2) +** dut1 double UT1-UTC (seconds, Note 3) +** elong double longitude (radians, east +ve, Note 4) +** phi double latitude (geodetic, radians, Note 4) +** hm double height above ellipsoid (m, geodetic, Notes 4,6) +** xp,yp double polar motion coordinates (radians, Note 5) +** phpa double pressure at the observer (hPa = mB, Note 6) +** tc double ambient temperature at the observer (deg C) +** rh double relative humidity at the observer (range 0-1) +** wl double wavelength (micrometers, Note 7) +** +** Returned: +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double longitude + s' (radians) +** xpl double polar motion xp wrt local meridian (radians) +** ypl double polar motion yp wrt local meridian (radians) +** sphi double sine of geodetic latitude +** cphi double cosine of geodetic latitude +** diurab double magnitude of diurnal aberration vector +** eral double "local" Earth rotation angle (radians) +** refa double refraction constant A (radians) +** refb double refraction constant B (radians) +** eo double* equation of the origins (ERA-GST) +** +** Returned (function value): +** int status: +1 = dubious year (Note 2) +** 0 = OK +** -1 = unacceptable date +** +** Notes: +** +** 1) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any +** convenient way between the two arguments, for example where utc1 +** is the Julian Day Number and utc2 is the fraction of a day. +** +** However, JD cannot unambiguously represent UTC during a leap +** second unless special measures are taken. The convention in the +** present function is that the JD day represents UTC days whether +** the length is 86399, 86400 or 86401 SI seconds. +** +** Applications should use the function eraDtf2d to convert from +** calendar date and time of day into 2-part quasi Julian Date, as +** it implements the leap-second-ambiguity convention just +** described. +** +** 2) The warning status "dubious year" flags UTCs that predate the +** introduction of the time scale or that are too far in the +** future to be trusted. See eraDat for further details. +** +** 3) UT1-UTC is tabulated in IERS bulletins. It increases by exactly +** one second at the end of each positive UTC leap second, +** introduced in order to keep UT1-UTC within +/- 0.9s. n.b. This +** practice is under review, and in the future UT1-UTC may grow +** essentially without limit. +** +** 4) The geographical coordinates are with respect to the ERFA_WGS84 +** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the +** longitude required by the present function is east-positive +** (i.e. right-handed), in accordance with geographical convention. +** +** 5) The polar motion xp,yp can be obtained from IERS bulletins. The +** values are the coordinates (in radians) of the Celestial +** Intermediate Pole with respect to the International Terrestrial +** Reference System (see IERS Conventions 2003), measured along the +** meridians 0 and 90 deg west respectively. For many +** applications, xp and yp can be set to zero. +** +** Internally, the polar motion is stored in a form rotated onto +** the local meridian. +** +** 6) If hm, the height above the ellipsoid of the observing station +** in meters, is not known but phpa, the pressure in hPa (=mB), is +** available, an adequate estimate of hm can be obtained from the +** expression +** +** hm = -29.3 * tsl * log ( phpa / 1013.25 ); +** +** where tsl is the approximate sea-level air temperature in K +** (See Astrophysical Quantities, C.W.Allen, 3rd edition, section +** 52). Similarly, if the pressure phpa is not known, it can be +** estimated from the height of the observing station, hm, as +** follows: +** +** phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) ); +** +** Note, however, that the refraction is nearly proportional to +** the pressure and that an accurate phpa value is important for +** precise work. +** +** 7) The argument wl specifies the observing wavelength in +** micrometers. The transition from optical to radio is assumed to +** occur at 100 micrometers (about 3000 GHz). +** +** 8) It is advisable to take great care with units, as even unlikely +** values of the input parameters are accepted and processed in +** accordance with the models used. +** +** 9) In cases where the caller wishes to supply his own Earth +** ephemeris, Earth rotation information and refraction constants, +** the function eraApco can be used instead of the present function. +** +** 10) This is one of several functions that inserts into the astrom +** structure star-independent parameters needed for the chain of +** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. +** +** The various functions support different classes of observer and +** portions of the transformation chain: +** +** functions observer transformation +** +** eraApcg eraApcg13 geocentric ICRS <-> GCRS +** eraApci eraApci13 terrestrial ICRS <-> CIRS +** eraApco eraApco13 terrestrial ICRS <-> observed +** eraApcs eraApcs13 space ICRS <-> GCRS +** eraAper eraAper13 terrestrial update Earth rotation +** eraApio eraApio13 terrestrial CIRS <-> observed +** +** Those with names ending in "13" use contemporary ERFA models to +** compute the various ephemerides. The others accept ephemerides +** supplied by the caller. +** +** The transformation from ICRS to GCRS covers space motion, +** parallax, light deflection, and aberration. From GCRS to CIRS +** comprises frame bias and precession-nutation. From CIRS to +** observed takes account of Earth rotation, polar motion, diurnal +** aberration and parallax (unless subsumed into the ICRS <-> GCRS +** transformation), and atmospheric refraction. +** +** 11) The context structure astrom produced by this function is used +** by eraAtioq, eraAtoiq, eraAtciq* and eraAticq*. +** +** Called: +** eraUtctai UTC to TAI +** eraTaitt TAI to TT +** eraUtcut1 UTC to UT1 +** eraEpv00 Earth position and velocity +** eraPnm06a classical NPB matrix, IAU 2006/2000A +** eraBpn2xy extract CIP X,Y coordinates from NPB matrix +** eraS06 the CIO locator s, given X,Y, IAU 2006 +** eraEra00 Earth rotation angle, IAU 2000 +** eraSp00 the TIO locator s', IERS 2000 +** eraRefco refraction constants for given ambient conditions +** eraApco astrometry parameters, ICRS-observed +** eraEors equation of the origins, given NPB matrix and s +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int j; + double tai1, tai2, tt1, tt2, ut11, ut12, ehpv[2][3], ebpv[2][3], + r[3][3], x, y, s, theta, sp, refa, refb; + + +/* UTC to other time scales. */ + j = eraUtctai(utc1, utc2, &tai1, &tai2); + if ( j < 0 ) return -1; + j = eraTaitt(tai1, tai2, &tt1, &tt2); + j = eraUtcut1(utc1, utc2, dut1, &ut11, &ut12); + if ( j < 0 ) return -1; + +/* Earth barycentric & heliocentric position/velocity (au, au/d). */ + (void) eraEpv00(tt1, tt2, ehpv, ebpv); + +/* Form the equinox based BPN matrix, IAU 2006/2000A. */ + eraPnm06a(tt1, tt2, r); + +/* Extract CIP X,Y. */ + eraBpn2xy(r, &x, &y); + +/* Obtain CIO locator s. */ + s = eraS06(tt1, tt2, x, y); + +/* Earth rotation angle. */ + theta = eraEra00(ut11, ut12); + +/* TIO locator s'. */ + sp = eraSp00(tt1, tt2); + +/* Refraction constants A and B. */ + eraRefco(phpa, tc, rh, wl, &refa, &refb); + +/* Compute the star-independent astrometry parameters. */ + eraApco(tt1, tt2, ebpv, ehpv[0], x, y, s, theta, + elong, phi, hm, xp, yp, sp, refa, refb, astrom); + +/* Equation of the origins. */ + *eo = eraEors(r, s); + +/* Return any warning status. */ + return j; + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/apcs.c b/ast/erfa/apcs.c new file mode 100644 index 0000000..b872ca6 --- /dev/null +++ b/ast/erfa/apcs.c @@ -0,0 +1,233 @@ +#include "erfa.h" + +void eraApcs(double date1, double date2, double pv[2][3], + double ebpv[2][3], double ehp[3], + eraASTROM *astrom) +/* +** - - - - - - - - +** e r a A p c s +** - - - - - - - - +** +** For an observer whose geocentric position and velocity are known, +** prepare star-independent astrometry parameters for transformations +** between ICRS and GCRS. The Earth ephemeris is supplied by the +** caller. +** +** The parameters produced by this function are required in the space +** motion, parallax, light deflection and aberration parts of the +** astrometric transformation chain. +** +** Given: +** date1 double TDB as a 2-part... +** date2 double ...Julian Date (Note 1) +** pv double[2][3] observer's geocentric pos/vel (m, m/s) +** ebpv double[2][3] Earth barycentric PV (au, au/day) +** ehp double[3] Earth heliocentric P (au) +** +** Returned: +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double unchanged +** xpl double unchanged +** ypl double unchanged +** sphi double unchanged +** cphi double unchanged +** diurab double unchanged +** eral double unchanged +** refa double unchanged +** refb double unchanged +** +** Notes: +** +** 1) The TDB date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TDB)=2450123.7 could be expressed in any of these ways, among +** others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 method is best matched to the way the +** argument is handled internally and will deliver the optimum +** resolution. The MJD method and the date & time methods are both +** good compromises between resolution and convenience. For most +** applications of this function the choice will not be at all +** critical. +** +** TT can be used instead of TDB without any significant impact on +** accuracy. +** +** 2) All the vectors are with respect to BCRS axes. +** +** 3) Providing separate arguments for (i) the observer's geocentric +** position and velocity and (ii) the Earth ephemeris is done for +** convenience in the geocentric, terrestrial and Earth orbit cases. +** For deep space applications it maybe more convenient to specify +** zero geocentric position and velocity and to supply the +** observer's position and velocity information directly instead of +** with respect to the Earth. However, note the different units: +** m and m/s for the geocentric vectors, au and au/day for the +** heliocentric and barycentric vectors. +** +** 4) In cases where the caller does not wish to provide the Earth +** ephemeris, the function eraApcs13 can be used instead of the +** present function. This computes the Earth ephemeris using the +** ERFA function eraEpv00. +** +** 5) This is one of several functions that inserts into the astrom +** structure star-independent parameters needed for the chain of +** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. +** +** The various functions support different classes of observer and +** portions of the transformation chain: +** +** functions observer transformation +** +** eraApcg eraApcg13 geocentric ICRS <-> GCRS +** eraApci eraApci13 terrestrial ICRS <-> CIRS +** eraApco eraApco13 terrestrial ICRS <-> observed +** eraApcs eraApcs13 space ICRS <-> GCRS +** eraAper eraAper13 terrestrial update Earth rotation +** eraApio eraApio13 terrestrial CIRS <-> observed +** +** Those with names ending in "13" use contemporary ERFA models to +** compute the various ephemerides. The others accept ephemerides +** supplied by the caller. +** +** The transformation from ICRS to GCRS covers space motion, +** parallax, light deflection, and aberration. From GCRS to CIRS +** comprises frame bias and precession-nutation. From CIRS to +** observed takes account of Earth rotation, polar motion, diurnal +** aberration and parallax (unless subsumed into the ICRS <-> GCRS +** transformation), and atmospheric refraction. +** +** 6) The context structure astrom produced by this function is used by +** eraAtciq* and eraAticq*. +** +** Called: +** eraCp copy p-vector +** eraPm modulus of p-vector +** eraPn decompose p-vector into modulus and direction +** eraIr initialize r-matrix to identity +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* au/d to m/s */ + const double AUDMS = ERFA_DAU/ERFA_DAYSEC; + +/* Light time for 1 AU (day) */ + const double CR = ERFA_AULT/ERFA_DAYSEC; + + int i; + double dp, dv, pb[3], vb[3], ph[3], v2, w; + + +/* Time since reference epoch, years (for proper motion calculation). */ + astrom->pmt = ( (date1 - ERFA_DJ00) + date2 ) / ERFA_DJY; + +/* Adjust Earth ephemeris to observer. */ + for (i = 0; i < 3; i++) { + dp = pv[0][i] / ERFA_DAU; + dv = pv[1][i] / AUDMS; + pb[i] = ebpv[0][i] + dp; + vb[i] = ebpv[1][i] + dv; + ph[i] = ehp[i] + dp; + } + +/* Barycentric position of observer (au). */ + eraCp(pb, astrom->eb); + +/* Heliocentric direction and distance (unit vector and au). */ + eraPn(ph, &astrom->em, astrom->eh); + +/* Barycentric vel. in units of c, and reciprocal of Lorenz factor. */ + v2 = 0.0; + for (i = 0; i < 3; i++) { + w = vb[i] * CR; + astrom->v[i] = w; + v2 += w*w; + } + astrom->bm1 = sqrt(1.0 - v2); + +/* Reset the NPB matrix. */ + eraIr(astrom->bpn); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/apcs13.c b/ast/erfa/apcs13.c new file mode 100644 index 0000000..79e56ec --- /dev/null +++ b/ast/erfa/apcs13.c @@ -0,0 +1,191 @@ +#include "erfa.h" + +void eraApcs13(double date1, double date2, double pv[2][3], + eraASTROM *astrom) +/* +** - - - - - - - - - - +** e r a A p c s 1 3 +** - - - - - - - - - - +** +** For an observer whose geocentric position and velocity are known, +** prepare star-independent astrometry parameters for transformations +** between ICRS and GCRS. The Earth ephemeris is from ERFA models. +** +** The parameters produced by this function are required in the space +** motion, parallax, light deflection and aberration parts of the +** astrometric transformation chain. +** +** Given: +** date1 double TDB as a 2-part... +** date2 double ...Julian Date (Note 1) +** pv double[2][3] observer's geocentric pos/vel (Note 3) +** +** Returned: +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double unchanged +** xpl double unchanged +** ypl double unchanged +** sphi double unchanged +** cphi double unchanged +** diurab double unchanged +** eral double unchanged +** refa double unchanged +** refb double unchanged +** +** Notes: +** +** 1) The TDB date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TDB)=2450123.7 could be expressed in any of these ways, among +** others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 method is best matched to the way the +** argument is handled internally and will deliver the optimum +** resolution. The MJD method and the date & time methods are both +** good compromises between resolution and convenience. For most +** applications of this function the choice will not be at all +** critical. +** +** TT can be used instead of TDB without any significant impact on +** accuracy. +** +** 2) All the vectors are with respect to BCRS axes. +** +** 3) The observer's position and velocity pv are geocentric but with +** respect to BCRS axes, and in units of m and m/s. No assumptions +** are made about proximity to the Earth, and the function can be +** used for deep space applications as well as Earth orbit and +** terrestrial. +** +** 4) In cases where the caller wishes to supply his own Earth +** ephemeris, the function eraApcs can be used instead of the present +** function. +** +** 5) This is one of several functions that inserts into the astrom +** structure star-independent parameters needed for the chain of +** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. +** +** The various functions support different classes of observer and +** portions of the transformation chain: +** +** functions observer transformation +** +** eraApcg eraApcg13 geocentric ICRS <-> GCRS +** eraApci eraApci13 terrestrial ICRS <-> CIRS +** eraApco eraApco13 terrestrial ICRS <-> observed +** eraApcs eraApcs13 space ICRS <-> GCRS +** eraAper eraAper13 terrestrial update Earth rotation +** eraApio eraApio13 terrestrial CIRS <-> observed +** +** Those with names ending in "13" use contemporary ERFA models to +** compute the various ephemerides. The others accept ephemerides +** supplied by the caller. +** +** The transformation from ICRS to GCRS covers space motion, +** parallax, light deflection, and aberration. From GCRS to CIRS +** comprises frame bias and precession-nutation. From CIRS to +** observed takes account of Earth rotation, polar motion, diurnal +** aberration and parallax (unless subsumed into the ICRS <-> GCRS +** transformation), and atmospheric refraction. +** +** 6) The context structure astrom produced by this function is used by +** eraAtciq* and eraAticq*. +** +** Called: +** eraEpv00 Earth position and velocity +** eraApcs astrometry parameters, ICRS-GCRS, space observer +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double ehpv[2][3], ebpv[2][3]; + + +/* Earth barycentric & heliocentric position/velocity (au, au/d). */ + (void) eraEpv00(date1, date2, ehpv, ebpv); + +/* Compute the star-independent astrometry parameters. */ + eraApcs(date1, date2, pv, ebpv, ehpv[0], astrom); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/aper.c b/ast/erfa/aper.c new file mode 100644 index 0000000..4bd92b4 --- /dev/null +++ b/ast/erfa/aper.c @@ -0,0 +1,162 @@ +#include "erfa.h" + +void eraAper(double theta, eraASTROM *astrom) +/* +** - - - - - - - - +** e r a A p e r +** - - - - - - - - +** +** In the star-independent astrometry parameters, update only the +** Earth rotation angle, supplied by the caller explicitly. +** +** Given: +** theta double Earth rotation angle (radians, Note 2) +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double not used +** eb double[3] not used +** eh double[3] not used +** em double not used +** v double[3] not used +** bm1 double not used +** bpn double[3][3] not used +** along double longitude + s' (radians) +** xpl double not used +** ypl double not used +** sphi double not used +** cphi double not used +** diurab double not used +** eral double not used +** refa double not used +** refb double not used +** +** Returned: +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double unchanged +** eb double[3] unchanged +** eh double[3] unchanged +** em double unchanged +** v double[3] unchanged +** bm1 double unchanged +** bpn double[3][3] unchanged +** along double unchanged +** xpl double unchanged +** ypl double unchanged +** sphi double unchanged +** cphi double unchanged +** diurab double unchanged +** eral double "local" Earth rotation angle (radians) +** refa double unchanged +** refb double unchanged +** +** Notes: +** +** 1) This function exists to enable sidereal-tracking applications to +** avoid wasteful recomputation of the bulk of the astrometry +** parameters: only the Earth rotation is updated. +** +** 2) For targets expressed as equinox based positions, such as +** classical geocentric apparent (RA,Dec), the supplied theta can be +** Greenwich apparent sidereal time rather than Earth rotation +** angle. +** +** 3) The function eraAper13 can be used instead of the present +** function, and starts from UT1 rather than ERA itself. +** +** 4) This is one of several functions that inserts into the astrom +** structure star-independent parameters needed for the chain of +** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. +** +** The various functions support different classes of observer and +** portions of the transformation chain: +** +** functions observer transformation +** +** eraApcg eraApcg13 geocentric ICRS <-> GCRS +** eraApci eraApci13 terrestrial ICRS <-> CIRS +** eraApco eraApco13 terrestrial ICRS <-> observed +** eraApcs eraApcs13 space ICRS <-> GCRS +** eraAper eraAper13 terrestrial update Earth rotation +** eraApio eraApio13 terrestrial CIRS <-> observed +** +** Those with names ending in "13" use contemporary ERFA models to +** compute the various ephemerides. The others accept ephemerides +** supplied by the caller. +** +** The transformation from ICRS to GCRS covers space motion, +** parallax, light deflection, and aberration. From GCRS to CIRS +** comprises frame bias and precession-nutation. From CIRS to +** observed takes account of Earth rotation, polar motion, diurnal +** aberration and parallax (unless subsumed into the ICRS <-> GCRS +** transformation), and atmospheric refraction. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + astrom->eral = theta + astrom->along; + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/aper13.c b/ast/erfa/aper13.c new file mode 100644 index 0000000..29a2e68 --- /dev/null +++ b/ast/erfa/aper13.c @@ -0,0 +1,181 @@ +#include "erfa.h" + +void eraAper13(double ut11, double ut12, eraASTROM *astrom) +/* +** - - - - - - - - - - +** e r a A p e r 1 3 +** - - - - - - - - - - +** +** In the star-independent astrometry parameters, update only the +** Earth rotation angle. The caller provides UT1, (n.b. not UTC). +** +** Given: +** ut11 double UT1 as a 2-part... +** ut12 double ...Julian Date (Note 1) +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double not used +** eb double[3] not used +** eh double[3] not used +** em double not used +** v double[3] not used +** bm1 double not used +** bpn double[3][3] not used +** along double longitude + s' (radians) +** xpl double not used +** ypl double not used +** sphi double not used +** cphi double not used +** diurab double not used +** eral double not used +** refa double not used +** refb double not used +** +** Returned: +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double unchanged +** eb double[3] unchanged +** eh double[3] unchanged +** em double unchanged +** v double[3] unchanged +** bm1 double unchanged +** bpn double[3][3] unchanged +** along double unchanged +** xpl double unchanged +** ypl double unchanged +** sphi double unchanged +** cphi double unchanged +** diurab double unchanged +** eral double "local" Earth rotation angle (radians) +** refa double unchanged +** refb double unchanged +** +** Notes: +** +** 1) The UT1 date (n.b. not UTC) ut11+ut12 is a Julian Date, +** apportioned in any convenient way between the arguments ut11 and +** ut12. For example, JD(UT1)=2450123.7 could be expressed in any +** of these ways, among others: +** +** ut11 ut12 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 and MJD methods are good compromises +** between resolution and convenience. The date & time method is +** best matched to the algorithm used: maximum precision is +** delivered when the ut11 argument is for 0hrs UT1 on the day in +** question and the ut12 argument lies in the range 0 to 1, or vice +** versa. +** +** 2) If the caller wishes to provide the Earth rotation angle itself, +** the function eraAper can be used instead. One use of this +** technique is to substitute Greenwich apparent sidereal time and +** thereby to support equinox based transformations directly. +** +** 3) This is one of several functions that inserts into the astrom +** structure star-independent parameters needed for the chain of +** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. +** +** The various functions support different classes of observer and +** portions of the transformation chain: +** +** functions observer transformation +** +** eraApcg eraApcg13 geocentric ICRS <-> GCRS +** eraApci eraApci13 terrestrial ICRS <-> CIRS +** eraApco eraApco13 terrestrial ICRS <-> observed +** eraApcs eraApcs13 space ICRS <-> GCRS +** eraAper eraAper13 terrestrial update Earth rotation +** eraApio eraApio13 terrestrial CIRS <-> observed +** +** Those with names ending in "13" use contemporary ERFA models to +** compute the various ephemerides. The others accept ephemerides +** supplied by the caller. +** +** The transformation from ICRS to GCRS covers space motion, +** parallax, light deflection, and aberration. From GCRS to CIRS +** comprises frame bias and precession-nutation. From CIRS to +** observed takes account of Earth rotation, polar motion, diurnal +** aberration and parallax (unless subsumed into the ICRS <-> GCRS +** transformation), and atmospheric refraction. +** +** Called: +** eraAper astrometry parameters: update ERA +** eraEra00 Earth rotation angle, IAU 2000 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraAper(eraEra00(ut11,ut12), astrom); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/apio.c b/ast/erfa/apio.c new file mode 100644 index 0000000..a42222f --- /dev/null +++ b/ast/erfa/apio.c @@ -0,0 +1,213 @@ +#include "erfa.h" + +void eraApio(double sp, double theta, + double elong, double phi, double hm, double xp, double yp, + double refa, double refb, + eraASTROM *astrom) +/* +** - - - - - - - - +** e r a A p i o +** - - - - - - - - +** +** For a terrestrial observer, prepare star-independent astrometry +** parameters for transformations between CIRS and observed +** coordinates. The caller supplies the Earth orientation information +** and the refraction constants as well as the site coordinates. +** +** Given: +** sp double the TIO locator s' (radians, Note 1) +** theta double Earth rotation angle (radians) +** elong double longitude (radians, east +ve, Note 2) +** phi double geodetic latitude (radians, Note 2) +** hm double height above ellipsoid (m, geodetic Note 2) +** xp,yp double polar motion coordinates (radians, Note 3) +** refa double refraction constant A (radians, Note 4) +** refb double refraction constant B (radians, Note 4) +** +** Returned: +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double unchanged +** eb double[3] unchanged +** eh double[3] unchanged +** em double unchanged +** v double[3] unchanged +** bm1 double unchanged +** bpn double[3][3] unchanged +** along double longitude + s' (radians) +** xpl double polar motion xp wrt local meridian (radians) +** ypl double polar motion yp wrt local meridian (radians) +** sphi double sine of geodetic latitude +** cphi double cosine of geodetic latitude +** diurab double magnitude of diurnal aberration vector +** eral double "local" Earth rotation angle (radians) +** refa double refraction constant A (radians) +** refb double refraction constant B (radians) +** +** Notes: +** +** 1) sp, the TIO locator s', is a tiny quantity needed only by the +** most precise applications. It can either be set to zero or +** predicted using the ERFA function eraSp00. +** +** 2) The geographical coordinates are with respect to the ERFA_WGS84 +** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the +** longitude required by the present function is east-positive +** (i.e. right-handed), in accordance with geographical convention. +** +** 3) The polar motion xp,yp can be obtained from IERS bulletins. The +** values are the coordinates (in radians) of the Celestial +** Intermediate Pole with respect to the International Terrestrial +** Reference System (see IERS Conventions 2003), measured along the +** meridians 0 and 90 deg west respectively. For many applications, +** xp and yp can be set to zero. +** +** Internally, the polar motion is stored in a form rotated onto the +** local meridian. +** +** 4) The refraction constants refa and refb are for use in a +** dZ = A*tan(Z)+B*tan^3(Z) model, where Z is the observed +** (i.e. refracted) zenith distance and dZ is the amount of +** refraction. +** +** 5) It is advisable to take great care with units, as even unlikely +** values of the input parameters are accepted and processed in +** accordance with the models used. +** +** 6) In cases where the caller does not wish to provide the Earth +** rotation information and refraction constants, the function +** eraApio13 can be used instead of the present function. This +** starts from UTC and weather readings etc. and computes suitable +** values using other ERFA functions. +** +** 7) This is one of several functions that inserts into the astrom +** structure star-independent parameters needed for the chain of +** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. +** +** The various functions support different classes of observer and +** portions of the transformation chain: +** +** functions observer transformation +** +** eraApcg eraApcg13 geocentric ICRS <-> GCRS +** eraApci eraApci13 terrestrial ICRS <-> CIRS +** eraApco eraApco13 terrestrial ICRS <-> observed +** eraApcs eraApcs13 space ICRS <-> GCRS +** eraAper eraAper13 terrestrial update Earth rotation +** eraApio eraApio13 terrestrial CIRS <-> observed +** +** Those with names ending in "13" use contemporary ERFA models to +** compute the various ephemerides. The others accept ephemerides +** supplied by the caller. +** +** The transformation from ICRS to GCRS covers space motion, +** parallax, light deflection, and aberration. From GCRS to CIRS +** comprises frame bias and precession-nutation. From CIRS to +** observed takes account of Earth rotation, polar motion, diurnal +** aberration and parallax (unless subsumed into the ICRS <-> GCRS +** transformation), and atmospheric refraction. +** +** 8) The context structure astrom produced by this function is used by +** eraAtioq and eraAtoiq. +** +** Called: +** eraPvtob position/velocity of terrestrial station +** eraAper astrometry parameters: update ERA +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double sl, cl, pv[2][3]; + + +/* Longitude with adjustment for TIO locator s'. */ + astrom->along = elong + sp; + +/* Polar motion, rotated onto the local meridian. */ + sl = sin(astrom->along); + cl = cos(astrom->along); + astrom->xpl = xp*cl - yp*sl; + astrom->ypl = xp*sl + yp*cl; + +/* Functions of latitude. */ + astrom->sphi = sin(phi); + astrom->cphi = cos(phi); + +/* Observer's geocentric position and velocity (m, m/s, CIRS). */ + eraPvtob(elong, phi, hm, xp, yp, sp, theta, pv); + +/* Magnitude of diurnal aberration vector. */ + astrom->diurab = sqrt(pv[1][0]*pv[1][0]+pv[1][1]*pv[1][1]) / ERFA_CMPS; + +/* Refraction constants. */ + astrom->refa = refa; + astrom->refb = refb; + +/* Local Earth rotation angle. */ + eraAper(theta, astrom); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/apio13.c b/ast/erfa/apio13.c new file mode 100644 index 0000000..b5e2248 --- /dev/null +++ b/ast/erfa/apio13.c @@ -0,0 +1,259 @@ +#include "erfa.h" + +int eraApio13(double utc1, double utc2, double dut1, + double elong, double phi, double hm, double xp, double yp, + double phpa, double tc, double rh, double wl, + eraASTROM *astrom) +/* +** - - - - - - - - - - +** e r a A p i o 1 3 +** - - - - - - - - - - +** +** For a terrestrial observer, prepare star-independent astrometry +** parameters for transformations between CIRS and observed +** coordinates. The caller supplies UTC, site coordinates, ambient air +** conditions and observing wavelength. +** +** Given: +** utc1 double UTC as a 2-part... +** utc2 double ...quasi Julian Date (Notes 1,2) +** dut1 double UT1-UTC (seconds) +** elong double longitude (radians, east +ve, Note 3) +** phi double geodetic latitude (radians, Note 3) +** hm double height above ellipsoid (m, geodetic Notes 4,6) +** xp,yp double polar motion coordinates (radians, Note 5) +** phpa double pressure at the observer (hPa = mB, Note 6) +** tc double ambient temperature at the observer (deg C) +** rh double relative humidity at the observer (range 0-1) +** wl double wavelength (micrometers, Note 7) +** +** Returned: +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double unchanged +** eb double[3] unchanged +** eh double[3] unchanged +** em double unchanged +** v double[3] unchanged +** bm1 double unchanged +** bpn double[3][3] unchanged +** along double longitude + s' (radians) +** xpl double polar motion xp wrt local meridian (radians) +** ypl double polar motion yp wrt local meridian (radians) +** sphi double sine of geodetic latitude +** cphi double cosine of geodetic latitude +** diurab double magnitude of diurnal aberration vector +** eral double "local" Earth rotation angle (radians) +** refa double refraction constant A (radians) +** refb double refraction constant B (radians) +** +** Returned (function value): +** int status: +1 = dubious year (Note 2) +** 0 = OK +** -1 = unacceptable date +** +** Notes: +** +** 1) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any +** convenient way between the two arguments, for example where utc1 +** is the Julian Day Number and utc2 is the fraction of a day. +** +** However, JD cannot unambiguously represent UTC during a leap +** second unless special measures are taken. The convention in the +** present function is that the JD day represents UTC days whether +** the length is 86399, 86400 or 86401 SI seconds. +** +** Applications should use the function eraDtf2d to convert from +** calendar date and time of day into 2-part quasi Julian Date, as +** it implements the leap-second-ambiguity convention just +** described. +** +** 2) The warning status "dubious year" flags UTCs that predate the +** introduction of the time scale or that are too far in the future +** to be trusted. See eraDat for further details. +** +** 3) UT1-UTC is tabulated in IERS bulletins. It increases by exactly +** one second at the end of each positive UTC leap second, +** introduced in order to keep UT1-UTC within +/- 0.9s. n.b. This +** practice is under review, and in the future UT1-UTC may grow +** essentially without limit. +** +** 4) The geographical coordinates are with respect to the ERFA_WGS84 +** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the +** longitude required by the present function is east-positive +** (i.e. right-handed), in accordance with geographical convention. +** +** 5) The polar motion xp,yp can be obtained from IERS bulletins. The +** values are the coordinates (in radians) of the Celestial +** Intermediate Pole with respect to the International Terrestrial +** Reference System (see IERS Conventions 2003), measured along the +** meridians 0 and 90 deg west respectively. For many applications, +** xp and yp can be set to zero. +** +** Internally, the polar motion is stored in a form rotated onto +** the local meridian. +** +** 6) If hm, the height above the ellipsoid of the observing station +** in meters, is not known but phpa, the pressure in hPa (=mB), is +** available, an adequate estimate of hm can be obtained from the +** expression +** +** hm = -29.3 * tsl * log ( phpa / 1013.25 ); +** +** where tsl is the approximate sea-level air temperature in K +** (See Astrophysical Quantities, C.W.Allen, 3rd edition, section +** 52). Similarly, if the pressure phpa is not known, it can be +** estimated from the height of the observing station, hm, as +** follows: +** +** phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) ); +** +** Note, however, that the refraction is nearly proportional to the +** pressure and that an accurate phpa value is important for +** precise work. +** +** 7) The argument wl specifies the observing wavelength in +** micrometers. The transition from optical to radio is assumed to +** occur at 100 micrometers (about 3000 GHz). +** +** 8) It is advisable to take great care with units, as even unlikely +** values of the input parameters are accepted and processed in +** accordance with the models used. +** +** 9) In cases where the caller wishes to supply his own Earth +** rotation information and refraction constants, the function +** eraApc can be used instead of the present function. +** +** 10) This is one of several functions that inserts into the astrom +** structure star-independent parameters needed for the chain of +** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. +** +** The various functions support different classes of observer and +** portions of the transformation chain: +** +** functions observer transformation +** +** eraApcg eraApcg13 geocentric ICRS <-> GCRS +** eraApci eraApci13 terrestrial ICRS <-> CIRS +** eraApco eraApco13 terrestrial ICRS <-> observed +** eraApcs eraApcs13 space ICRS <-> GCRS +** eraAper eraAper13 terrestrial update Earth rotation +** eraApio eraApio13 terrestrial CIRS <-> observed +** +** Those with names ending in "13" use contemporary ERFA models to +** compute the various ephemerides. The others accept ephemerides +** supplied by the caller. +** +** The transformation from ICRS to GCRS covers space motion, +** parallax, light deflection, and aberration. From GCRS to CIRS +** comprises frame bias and precession-nutation. From CIRS to +** observed takes account of Earth rotation, polar motion, diurnal +** aberration and parallax (unless subsumed into the ICRS <-> GCRS +** transformation), and atmospheric refraction. +** +** 11) The context structure astrom produced by this function is used +** by eraAtioq and eraAtoiq. +** +** Called: +** eraUtctai UTC to TAI +** eraTaitt TAI to TT +** eraUtcut1 UTC to UT1 +** eraSp00 the TIO locator s', IERS 2000 +** eraEra00 Earth rotation angle, IAU 2000 +** eraRefco refraction constants for given ambient conditions +** eraApio astrometry parameters, CIRS-observed +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int j; + double tai1, tai2, tt1, tt2, ut11, ut12, sp, theta, refa, refb; + + +/* UTC to other time scales. */ + j = eraUtctai(utc1, utc2, &tai1, &tai2); + if ( j < 0 ) return -1; + j = eraTaitt(tai1, tai2, &tt1, &tt2); + j = eraUtcut1(utc1, utc2, dut1, &ut11, &ut12); + if ( j < 0 ) return -1; + +/* TIO locator s'. */ + sp = eraSp00(tt1, tt2); + +/* Earth rotation angle. */ + theta = eraEra00(ut11, ut12); + +/* Refraction constants A and B. */ + eraRefco(phpa, tc, rh, wl, &refa, &refb); + +/* CIRS <-> observed astrometry parameters. */ + eraApio(sp, theta, elong, phi, hm, xp, yp, refa, refb, astrom); + +/* Return any warning status. */ + return j; + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/atci13.c b/ast/erfa/atci13.c new file mode 100644 index 0000000..c85c2be --- /dev/null +++ b/ast/erfa/atci13.c @@ -0,0 +1,159 @@ +#include "erfa.h" + +void eraAtci13(double rc, double dc, + double pr, double pd, double px, double rv, + double date1, double date2, + double *ri, double *di, double *eo) +/* +** - - - - - - - - - - +** e r a A t c i 1 3 +** - - - - - - - - - - +** +** Transform ICRS star data, epoch J2000.0, to CIRS. +** +** Given: +** rc double ICRS right ascension at J2000.0 (radians, Note 1) +** dc double ICRS declination at J2000.0 (radians, Note 1) +** pr double RA proper motion (radians/year; Note 2) +** pd double Dec proper motion (radians/year) +** px double parallax (arcsec) +** rv double radial velocity (km/s, +ve if receding) +** date1 double TDB as a 2-part... +** date2 double ...Julian Date (Note 3) +** +** Returned: +** ri,di double* CIRS geocentric RA,Dec (radians) +** eo double* equation of the origins (ERA-GST, Note 5) +** +** Notes: +** +** 1) Star data for an epoch other than J2000.0 (for example from the +** Hipparcos catalog, which has an epoch of J1991.25) will require a +** preliminary call to eraPmsafe before use. +** +** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt. +** +** 3) The TDB date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TDB)=2450123.8g could be expressed in any of these ways, among +** others: +** +** date1 date2 +** +** 2450123.8g 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 method is best matched to the way the +** argument is handled internally and will deliver the optimum +** resolution. The MJD method and the date & time methods are both +** good compromises between resolution and convenience. For most +** applications of this function the choice will not be at all +** critical. +** +** TT can be used instead of TDB without any significant impact on +** accuracy. +** +** 4) The available accuracy is better than 1 milliarcsecond, limited +** mainly by the precession-nutation model that is used, namely +** IAU 2000A/2006. Very close to solar system bodies, additional +** errors of up to several milliarcseconds can occur because of +** unmodeled light deflection; however, the Sun's contribution is +** taken into account, to first order. The accuracy limitations of +** the ERFA function eraEpv00 (used to compute Earth position and +** velocity) can contribute aberration errors of up to +** 5 microarcseconds. Light deflection at the Sun's limb is +** uncertain at the 0.4 mas level. +** +** 5) Should the transformation to (equinox based) apparent place be +** required rather than (CIO based) intermediate place, subtract the +** equation of the origins from the returned right ascension: +** RA = RI - EO. (The eraAnp function can then be applied, as +** required, to keep the result in the conventional 0-2pi range.) +** +** Called: +** eraApci13 astrometry parameters, ICRS-CIRS, 2013 +** eraAtciq quick ICRS to CIRS +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Star-independent astrometry parameters */ + eraASTROM astrom; + + +/* The transformation parameters. */ + eraApci13(date1, date2, &astrom, eo); + +/* ICRS (epoch J2000.0) to CIRS. */ + eraAtciq(rc, dc, pr, pd, px, rv, &astrom, ri, di); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/atciq.c b/ast/erfa/atciq.c new file mode 100644 index 0000000..095a6b0 --- /dev/null +++ b/ast/erfa/atciq.c @@ -0,0 +1,154 @@ +#include "erfa.h" + +void eraAtciq(double rc, double dc, + double pr, double pd, double px, double rv, + eraASTROM *astrom, double *ri, double *di) +/* +** - - - - - - - - - +** e r a A t c i q +** - - - - - - - - - +** +** Quick ICRS, epoch J2000.0, to CIRS transformation, given precomputed +** star-independent astrometry parameters. +** +** Use of this function is appropriate when efficiency is important and +** where many star positions are to be transformed for one date. The +** star-independent parameters can be obtained by calling one of the +** functions eraApci[13], eraApcg[13], eraApco[13] or eraApcs[13]. +** +** If the parallax and proper motions are zero the eraAtciqz function +** can be used instead. +** +** Given: +** rc,dc double ICRS RA,Dec at J2000.0 (radians) +** pr double RA proper motion (radians/year; Note 3) +** pd double Dec proper motion (radians/year) +** px double parallax (arcsec) +** rv double radial velocity (km/s, +ve if receding) +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double longitude + s' (radians) +** xpl double polar motion xp wrt local meridian (radians) +** ypl double polar motion yp wrt local meridian (radians) +** sphi double sine of geodetic latitude +** cphi double cosine of geodetic latitude +** diurab double magnitude of diurnal aberration vector +** eral double "local" Earth rotation angle (radians) +** refa double refraction constant A (radians) +** refb double refraction constant B (radians) +** +** Returned: +** ri,di double CIRS RA,Dec (radians) +** +** Notes: +** +** 1) All the vectors are with respect to BCRS axes. +** +** 2) Star data for an epoch other than J2000.0 (for example from the +** Hipparcos catalog, which has an epoch of J1991.25) will require a +** preliminary call to eraPmsafe before use. +** +** 3) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt. +** +** Called: +** eraPmpx proper motion and parallax +** eraLdsun light deflection by the Sun +** eraAb stellar aberration +** eraRxp product of r-matrix and pv-vector +** eraC2s p-vector to spherical +** eraAnp normalize angle into range 0 to 2pi +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double pco[3], pnat[3], ppr[3], pi[3], w; + + +/* Proper motion and parallax, giving BCRS coordinate direction. */ + eraPmpx(rc, dc, pr, pd, px, rv, astrom->pmt, astrom->eb, pco); + +/* Light deflection by the Sun, giving BCRS natural direction. */ + eraLdsun(pco, astrom->eh, astrom->em, pnat); + +/* Aberration, giving GCRS proper direction. */ + eraAb(pnat, astrom->v, astrom->em, astrom->bm1, ppr); + +/* Bias-precession-nutation, giving CIRS proper direction. */ + eraRxp(astrom->bpn, ppr, pi); + +/* CIRS RA,Dec. */ + eraC2s(pi, &w, di); + *ri = eraAnp(w); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/atciqn.c b/ast/erfa/atciqn.c new file mode 100644 index 0000000..9a381f8 --- /dev/null +++ b/ast/erfa/atciqn.c @@ -0,0 +1,191 @@ +#include "erfa.h" + +void eraAtciqn(double rc, double dc, double pr, double pd, + double px, double rv, eraASTROM *astrom, + int n, eraLDBODY b[], double *ri, double *di) +/* +** - - - - - - - - - - +** e r a A t c i q n +** - - - - - - - - - - +** +** Quick ICRS, epoch J2000.0, to CIRS transformation, given precomputed +** star-independent astrometry parameters plus a list of light- +** deflecting bodies. +** +** Use of this function is appropriate when efficiency is important and +** where many star positions are to be transformed for one date. The +** star-independent parameters can be obtained by calling one of the +** functions eraApci[13], eraApcg[13], eraApco[13] or eraApcs[13]. +** +** +** If the only light-deflecting body to be taken into account is the +** Sun, the eraAtciq function can be used instead. If in addition the +** parallax and proper motions are zero, the eraAtciqz function can be +** used. +** +** Given: +** rc,dc double ICRS RA,Dec at J2000.0 (radians) +** pr double RA proper motion (radians/year; Note 3) +** pd double Dec proper motion (radians/year) +** px double parallax (arcsec) +** rv double radial velocity (km/s, +ve if receding) +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double longitude + s' (radians) +** xpl double polar motion xp wrt local meridian (radians) +** ypl double polar motion yp wrt local meridian (radians) +** sphi double sine of geodetic latitude +** cphi double cosine of geodetic latitude +** diurab double magnitude of diurnal aberration vector +** eral double "local" Earth rotation angle (radians) +** refa double refraction constant A (radians) +** refb double refraction constant B (radians) +** n int number of bodies (Note 3) +** b eraLDBODY[n] data for each of the n bodies (Notes 3,4): +** bm double mass of the body (solar masses, Note 5) +** dl double deflection limiter (Note 6) +** pv [2][3] barycentric PV of the body (au, au/day) +** +** Returned: +** ri,di double CIRS RA,Dec (radians) +** +** Notes: +** +** 1) Star data for an epoch other than J2000.0 (for example from the +** Hipparcos catalog, which has an epoch of J1991.25) will require a +** preliminary call to eraPmsafe before use. +** +** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt. +** +** 3) The struct b contains n entries, one for each body to be +** considered. If n = 0, no gravitational light deflection will be +** applied, not even for the Sun. +** +** 4) The struct b should include an entry for the Sun as well as for +** any planet or other body to be taken into account. The entries +** should be in the order in which the light passes the body. +** +** 5) In the entry in the b struct for body i, the mass parameter +** b[i].bm can, as required, be adjusted in order to allow for such +** effects as quadrupole field. +** +** 6) The deflection limiter parameter b[i].dl is phi^2/2, where phi is +** the angular separation (in radians) between star and body at +** which limiting is applied. As phi shrinks below the chosen +** threshold, the deflection is artificially reduced, reaching zero +** for phi = 0. Example values suitable for a terrestrial +** observer, together with masses, are as follows: +** +** body i b[i].bm b[i].dl +** +** Sun 1.0 6e-6 +** Jupiter 0.00095435 3e-9 +** Saturn 0.00028574 3e-10 +** +** 7) For efficiency, validation of the contents of the b array is +** omitted. The supplied masses must be greater than zero, the +** position and velocity vectors must be right, and the deflection +** limiter greater than zero. +** +** Called: +** eraPmpx proper motion and parallax +** eraLdn light deflection by n bodies +** eraAb stellar aberration +** eraRxp product of r-matrix and pv-vector +** eraC2s p-vector to spherical +** eraAnp normalize angle into range 0 to 2pi +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double pco[3], pnat[3], ppr[3], pi[3], w; + + +/* Proper motion and parallax, giving BCRS coordinate direction. */ + eraPmpx(rc, dc, pr, pd, px, rv, astrom->pmt, astrom->eb, pco); + +/* Light deflection, giving BCRS natural direction. */ + eraLdn(n, b, astrom->eb, pco, pnat); + +/* Aberration, giving GCRS proper direction. */ + eraAb(pnat, astrom->v, astrom->em, astrom->bm1, ppr); + +/* Bias-precession-nutation, giving CIRS proper direction. */ + eraRxp(astrom->bpn, ppr, pi); + +/* CIRS RA,Dec. */ + eraC2s(pi, &w, di); + *ri = eraAnp(w); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/atciqz.c b/ast/erfa/atciqz.c new file mode 100644 index 0000000..983db53 --- /dev/null +++ b/ast/erfa/atciqz.c @@ -0,0 +1,153 @@ +#include "erfa.h" + +void eraAtciqz(double rc, double dc, eraASTROM *astrom, + double *ri, double *di) +/* +** - - - - - - - - - - +** e r a A t c i q z +** - - - - - - - - - - +** +** Quick ICRS to CIRS transformation, given precomputed star- +** independent astrometry parameters, and assuming zero parallax and +** proper motion. +** +** Use of this function is appropriate when efficiency is important and +** where many star positions are to be transformed for one date. The +** star-independent parameters can be obtained by calling one of the +** functions eraApci[13], eraApcg[13], eraApco[13] or eraApcs[13]. +** +** The corresponding function for the case of non-zero parallax and +** proper motion is eraAtciq. +** +** Given: +** rc,dc double ICRS astrometric RA,Dec (radians) +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double longitude + s' (radians) +** xpl double polar motion xp wrt local meridian (radians) +** ypl double polar motion yp wrt local meridian (radians) +** sphi double sine of geodetic latitude +** cphi double cosine of geodetic latitude +** diurab double magnitude of diurnal aberration vector +** eral double "local" Earth rotation angle (radians) +** refa double refraction constant A (radians) +** refb double refraction constant B (radians) +** +** Returned: +** ri,di double CIRS RA,Dec (radians) +** +** Note: +** +** All the vectors are with respect to BCRS axes. +** +** References: +** +** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to +** the Astronomical Almanac, 3rd ed., University Science Books +** (2013). +** +** Klioner, Sergei A., "A practical relativistic model for micro- +** arcsecond astrometry in space", Astr. J. 125, 1580-1597 (2003). +** +** Called: +** eraS2c spherical coordinates to unit vector +** eraLdsun light deflection due to Sun +** eraAb stellar aberration +** eraRxp product of r-matrix and p-vector +** eraC2s p-vector to spherical +** eraAnp normalize angle into range +/- pi +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double pco[3], pnat[3], ppr[3], pi[3], w; + + +/* BCRS coordinate direction (unit vector). */ + eraS2c(rc, dc, pco); + +/* Light deflection by the Sun, giving BCRS natural direction. */ + eraLdsun(pco, astrom->eh, astrom->em, pnat); + +/* Aberration, giving GCRS proper direction. */ + eraAb(pnat, astrom->v, astrom->em, astrom->bm1, ppr); + +/* Bias-precession-nutation, giving CIRS proper direction. */ + eraRxp(astrom->bpn, ppr, pi); + +/* CIRS RA,Dec. */ + eraC2s(pi, &w, di); + *ri = eraAnp(w); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/atco13.c b/ast/erfa/atco13.c new file mode 100644 index 0000000..c27fe3b --- /dev/null +++ b/ast/erfa/atco13.c @@ -0,0 +1,243 @@ +#include "erfa.h" + +int eraAtco13(double rc, double dc, + double pr, double pd, double px, double rv, + double utc1, double utc2, double dut1, + double elong, double phi, double hm, double xp, double yp, + double phpa, double tc, double rh, double wl, + double *aob, double *zob, double *hob, + double *dob, double *rob, double *eo) +/* +** - - - - - - - - - - +** e r a A t c o 1 3 +** - - - - - - - - - - +** +** ICRS RA,Dec to observed place. The caller supplies UTC, site +** coordinates, ambient air conditions and observing wavelength. +** +** ERFA models are used for the Earth ephemeris, bias-precession- +** nutation, Earth orientation and refraction. +** +** Given: +** rc,dc double ICRS right ascension at J2000.0 (radians, Note 1) +** pr double RA proper motion (radians/year; Note 2) +** pd double Dec proper motion (radians/year) +** px double parallax (arcsec) +** rv double radial velocity (km/s, +ve if receding) +** utc1 double UTC as a 2-part... +** utc2 double ...quasi Julian Date (Notes 3-4) +** dut1 double UT1-UTC (seconds, Note 5) +** elong double longitude (radians, east +ve, Note 6) +** phi double latitude (geodetic, radians, Note 6) +** hm double height above ellipsoid (m, geodetic, Notes 6,8) +** xp,yp double polar motion coordinates (radians, Note 7) +** phpa double pressure at the observer (hPa = mB, Note 8) +** tc double ambient temperature at the observer (deg C) +** rh double relative humidity at the observer (range 0-1) +** wl double wavelength (micrometers, Note 9) +** +** Returned: +** aob double* observed azimuth (radians: N=0,E=90) +** zob double* observed zenith distance (radians) +** hob double* observed hour angle (radians) +** dob double* observed declination (radians) +** rob double* observed right ascension (CIO-based, radians) +** eo double* equation of the origins (ERA-GST) +** +** Returned (function value): +** int status: +1 = dubious year (Note 4) +** 0 = OK +** -1 = unacceptable date +** +** Notes: +** +** 1) Star data for an epoch other than J2000.0 (for example from the +** Hipparcos catalog, which has an epoch of J1991.25) will require +** a preliminary call to eraPmsafe before use. +** +** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt. +** +** 3) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any +** convenient way between the two arguments, for example where utc1 +** is the Julian Day Number and utc2 is the fraction of a day. +** +** However, JD cannot unambiguously represent UTC during a leap +** second unless special measures are taken. The convention in the +** present function is that the JD day represents UTC days whether +** the length is 86399, 86400 or 86401 SI seconds. +** +** Applications should use the function eraDtf2d to convert from +** calendar date and time of day into 2-part quasi Julian Date, as +** it implements the leap-second-ambiguity convention just +** described. +** +** 4) The warning status "dubious year" flags UTCs that predate the +** introduction of the time scale or that are too far in the +** future to be trusted. See eraDat for further details. +** +** 5) UT1-UTC is tabulated in IERS bulletins. It increases by exactly +** one second at the end of each positive UTC leap second, +** introduced in order to keep UT1-UTC within +/- 0.9s. n.b. This +** practice is under review, and in the future UT1-UTC may grow +** essentially without limit. +** +** 6) The geographical coordinates are with respect to the ERFA_WGS84 +** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the +** longitude required by the present function is east-positive +** (i.e. right-handed), in accordance with geographical convention. +** +** 7) The polar motion xp,yp can be obtained from IERS bulletins. The +** values are the coordinates (in radians) of the Celestial +** Intermediate Pole with respect to the International Terrestrial +** Reference System (see IERS Conventions 2003), measured along the +** meridians 0 and 90 deg west respectively. For many +** applications, xp and yp can be set to zero. +** +** 8) If hm, the height above the ellipsoid of the observing station +** in meters, is not known but phpa, the pressure in hPa (=mB), +** is available, an adequate estimate of hm can be obtained from +** the expression +** +** hm = -29.3 * tsl * log ( phpa / 1013.25 ); +** +** where tsl is the approximate sea-level air temperature in K +** (See Astrophysical Quantities, C.W.Allen, 3rd edition, section +** 52). Similarly, if the pressure phpa is not known, it can be +** estimated from the height of the observing station, hm, as +** follows: +** +** phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) ); +** +** Note, however, that the refraction is nearly proportional to +** the pressure and that an accurate phpa value is important for +** precise work. +** +** 9) The argument wl specifies the observing wavelength in +** micrometers. The transition from optical to radio is assumed to +** occur at 100 micrometers (about 3000 GHz). +** +** 10) The accuracy of the result is limited by the corrections for +** refraction, which use a simple A*tan(z) + B*tan^3(z) model. +** Providing the meteorological parameters are known accurately and +** there are no gross local effects, the predicted observed +** coordinates should be within 0.05 arcsec (optical) or 1 arcsec +** (radio) for a zenith distance of less than 70 degrees, better +** than 30 arcsec (optical or radio) at 85 degrees and better +** than 20 arcmin (optical) or 30 arcmin (radio) at the horizon. +** +** Without refraction, the complementary functions eraAtco13 and +** eraAtoc13 are self-consistent to better than 1 microarcsecond +** all over the celestial sphere. With refraction included, +** consistency falls off at high zenith distances, but is still +** better than 0.05 arcsec at 85 degrees. +** +** 11) "Observed" Az,ZD means the position that would be seen by a +** perfect geodetically aligned theodolite. (Zenith distance is +** used rather than altitude in order to reflect the fact that no +** allowance is made for depression of the horizon.) This is +** related to the observed HA,Dec via the standard rotation, using +** the geodetic latitude (corrected for polar motion), while the +** observed HA and RA are related simply through the Earth rotation +** angle and the site longitude. "Observed" RA,Dec or HA,Dec thus +** means the position that would be seen by a perfect equatorial +** with its polar axis aligned to the Earth's axis of rotation. +** +** 12) It is advisable to take great care with units, as even unlikely +** values of the input parameters are accepted and processed in +** accordance with the models used. +** +** Called: +** eraApco13 astrometry parameters, ICRS-observed, 2013 +** eraAtciq quick ICRS to CIRS +** eraAtioq quick ICRS to observed +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int j; + eraASTROM astrom; + double ri, di; + + +/* Star-independent astrometry parameters. */ + j = eraApco13(utc1, utc2, dut1, elong, phi, hm, xp, yp, + phpa, tc, rh, wl, &astrom, eo); + +/* Abort if bad UTC. */ + if ( j < 0 ) return j; + +/* Transform ICRS to CIRS. */ + eraAtciq(rc, dc, pr, pd, px, rv, &astrom, &ri, &di); + +/* Transform CIRS to observed. */ + eraAtioq(ri, di, &astrom, aob, zob, hob, dob, rob); + +/* Return OK/warning status. */ + return j; + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/atic13.c b/ast/erfa/atic13.c new file mode 100644 index 0000000..35dcd13 --- /dev/null +++ b/ast/erfa/atic13.c @@ -0,0 +1,152 @@ +#include "erfa.h" + +void eraAtic13(double ri, double di, double date1, double date2, + double *rc, double *dc, double *eo) +/* +** - - - - - - - - - - +** e r a A t i c 1 3 +** - - - - - - - - - - +** +** Transform star RA,Dec from geocentric CIRS to ICRS astrometric. +** +** Given: +** ri,di double CIRS geocentric RA,Dec (radians) +** date1 double TDB as a 2-part... +** date2 double ...Julian Date (Note 1) +** +** Returned: +** rc,dc double ICRS astrometric RA,Dec (radians) +** eo double equation of the origins (ERA-GST, Note 4) +** +** Notes: +** +** 1) The TDB date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TDB)=2450123.7 could be expressed in any of these ways, among +** others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 method is best matched to the way the +** argument is handled internally and will deliver the optimum +** resolution. The MJD method and the date & time methods are both +** good compromises between resolution and convenience. For most +** applications of this function the choice will not be at all +** critical. +** +** TT can be used instead of TDB without any significant impact on +** accuracy. +** +** 2) Iterative techniques are used for the aberration and light +** deflection corrections so that the functions eraAtic13 (or +** eraAticq) and eraAtci13 (or eraAtciq) are accurate inverses; +** even at the edge of the Sun's disk the discrepancy is only about +** 1 nanoarcsecond. +** +** 3) The available accuracy is better than 1 milliarcsecond, limited +** mainly by the precession-nutation model that is used, namely +** IAU 2000A/2006. Very close to solar system bodies, additional +** errors of up to several milliarcseconds can occur because of +** unmodeled light deflection; however, the Sun's contribution is +** taken into account, to first order. The accuracy limitations of +** the ERFA function eraEpv00 (used to compute Earth position and +** velocity) can contribute aberration errors of up to +** 5 microarcseconds. Light deflection at the Sun's limb is +** uncertain at the 0.4 mas level. +** +** 4) Should the transformation to (equinox based) J2000.0 mean place +** be required rather than (CIO based) ICRS coordinates, subtract the +** equation of the origins from the returned right ascension: +** RA = RI - EO. (The eraAnp function can then be applied, as +** required, to keep the result in the conventional 0-2pi range.) +** +** Called: +** eraApci13 astrometry parameters, ICRS-CIRS, 2013 +** eraAticq quick CIRS to ICRS astrometric +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Star-independent astrometry parameters */ + eraASTROM astrom; + + +/* Star-independent astrometry parameters. */ + eraApci13(date1, date2, &astrom, eo); + +/* CIRS to ICRS astrometric. */ + eraAticq(ri, di, &astrom, rc, dc); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/aticq.c b/ast/erfa/aticq.c new file mode 100644 index 0000000..2401836 --- /dev/null +++ b/ast/erfa/aticq.c @@ -0,0 +1,199 @@ +#include "erfa.h" + +void eraAticq(double ri, double di, eraASTROM *astrom, + double *rc, double *dc) +/* +** - - - - - - - - - +** e r a A t i c q +** - - - - - - - - - +** +** Quick CIRS RA,Dec to ICRS astrometric place, given the star- +** independent astrometry parameters. +** +** Use of this function is appropriate when efficiency is important and +** where many star positions are all to be transformed for one date. +** The star-independent astrometry parameters can be obtained by +** calling one of the functions eraApci[13], eraApcg[13], eraApco[13] +** or eraApcs[13]. +** +** Given: +** ri,di double CIRS RA,Dec (radians) +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double longitude + s' (radians) +** xpl double polar motion xp wrt local meridian (radians) +** ypl double polar motion yp wrt local meridian (radians) +** sphi double sine of geodetic latitude +** cphi double cosine of geodetic latitude +** diurab double magnitude of diurnal aberration vector +** eral double "local" Earth rotation angle (radians) +** refa double refraction constant A (radians) +** refb double refraction constant B (radians) +** +** Returned: +** rc,dc double ICRS astrometric RA,Dec (radians) +** +** Notes: +** +** 1) Only the Sun is taken into account in the light deflection +** correction. +** +** 2) Iterative techniques are used for the aberration and light +** deflection corrections so that the functions eraAtic13 (or +** eraAticq) and eraAtci13 (or eraAtciq) are accurate inverses; +** even at the edge of the Sun's disk the discrepancy is only about +** 1 nanoarcsecond. +** +** Called: +** eraS2c spherical coordinates to unit vector +** eraTrxp product of transpose of r-matrix and p-vector +** eraZp zero p-vector +** eraAb stellar aberration +** eraLdsun light deflection by the Sun +** eraC2s p-vector to spherical +** eraAnp normalize angle into range +/- pi +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int j, i; + double pi[3], ppr[3], pnat[3], pco[3], w, d[3], before[3], r2, r, + after[3]; + + +/* CIRS RA,Dec to Cartesian. */ + eraS2c(ri, di, pi); + +/* Bias-precession-nutation, giving GCRS proper direction. */ + eraTrxp(astrom->bpn, pi, ppr); + +/* Aberration, giving GCRS natural direction. */ + eraZp(d); + for (j = 0; j < 2; j++) { + r2 = 0.0; + for (i = 0; i < 3; i++) { + w = ppr[i] - d[i]; + before[i] = w; + r2 += w*w; + } + r = sqrt(r2); + for (i = 0; i < 3; i++) { + before[i] /= r; + } + eraAb(before, astrom->v, astrom->em, astrom->bm1, after); + r2 = 0.0; + for (i = 0; i < 3; i++) { + d[i] = after[i] - before[i]; + w = ppr[i] - d[i]; + pnat[i] = w; + r2 += w*w; + } + r = sqrt(r2); + for (i = 0; i < 3; i++) { + pnat[i] /= r; + } + } + +/* Light deflection by the Sun, giving BCRS coordinate direction. */ + eraZp(d); + for (j = 0; j < 5; j++) { + r2 = 0.0; + for (i = 0; i < 3; i++) { + w = pnat[i] - d[i]; + before[i] = w; + r2 += w*w; + } + r = sqrt(r2); + for (i = 0; i < 3; i++) { + before[i] /= r; + } + eraLdsun(before, astrom->eh, astrom->em, after); + r2 = 0.0; + for (i = 0; i < 3; i++) { + d[i] = after[i] - before[i]; + w = pnat[i] - d[i]; + pco[i] = w; + r2 += w*w; + } + r = sqrt(r2); + for (i = 0; i < 3; i++) { + pco[i] /= r; + } + } + +/* ICRS astrometric RA,Dec. */ + eraC2s(pco, &w, dc); + *rc = eraAnp(w); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/aticqn.c b/ast/erfa/aticqn.c new file mode 100644 index 0000000..3c633a8 --- /dev/null +++ b/ast/erfa/aticqn.c @@ -0,0 +1,237 @@ +#include "erfa.h" + +void eraAticqn(double ri, double di, eraASTROM *astrom, + int n, eraLDBODY b[], double *rc, double *dc) +/* +** - - - - - - - - - +** e r a A t i c q n +** - - - - - - - - - +** +** Quick CIRS to ICRS astrometric place transformation, given the star- +** independent astrometry parameters plus a list of light-deflecting +** bodies. +** +** Use of this function is appropriate when efficiency is important and +** where many star positions are all to be transformed for one date. +** The star-independent astrometry parameters can be obtained by +** calling one of the functions eraApci[13], eraApcg[13], eraApco[13] +** or eraApcs[13]. +* +* If the only light-deflecting body to be taken into account is the +* Sun, the eraAticq function can be used instead. +** +** Given: +** ri,di double CIRS RA,Dec (radians) +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double longitude + s' (radians) +** xpl double polar motion xp wrt local meridian (radians) +** ypl double polar motion yp wrt local meridian (radians) +** sphi double sine of geodetic latitude +** cphi double cosine of geodetic latitude +** diurab double magnitude of diurnal aberration vector +** eral double "local" Earth rotation angle (radians) +** refa double refraction constant A (radians) +** refb double refraction constant B (radians) +** n int number of bodies (Note 3) +** b eraLDBODY[n] data for each of the n bodies (Notes 3,4): +** bm double mass of the body (solar masses, Note 5) +** dl double deflection limiter (Note 6) +** pv [2][3] barycentric PV of the body (au, au/day) +** +** Returned: +** rc,dc double ICRS astrometric RA,Dec (radians) +** +** Notes: +** +** 1) Iterative techniques are used for the aberration and light +** deflection corrections so that the functions eraAticqn and +** eraAtciqn are accurate inverses; even at the edge of the Sun's +** disk the discrepancy is only about 1 nanoarcsecond. +** +** 2) If the only light-deflecting body to be taken into account is the +** Sun, the eraAticq function can be used instead. +** +** 3) The struct b contains n entries, one for each body to be +** considered. If n = 0, no gravitational light deflection will be +** applied, not even for the Sun. +** +** 4) The struct b should include an entry for the Sun as well as for +** any planet or other body to be taken into account. The entries +** should be in the order in which the light passes the body. +** +** 5) In the entry in the b struct for body i, the mass parameter +** b[i].bm can, as required, be adjusted in order to allow for such +** effects as quadrupole field. +** +** 6) The deflection limiter parameter b[i].dl is phi^2/2, where phi is +** the angular separation (in radians) between star and body at +** which limiting is applied. As phi shrinks below the chosen +** threshold, the deflection is artificially reduced, reaching zero +** for phi = 0. Example values suitable for a terrestrial +** observer, together with masses, are as follows: +** +** body i b[i].bm b[i].dl +** +** Sun 1.0 6e-6 +** Jupiter 0.00095435 3e-9 +** Saturn 0.00028574 3e-10 +** +** 7) For efficiency, validation of the contents of the b array is +** omitted. The supplied masses must be greater than zero, the +** position and velocity vectors must be right, and the deflection +** limiter greater than zero. +** +** Called: +** eraS2c spherical coordinates to unit vector +** eraTrxp product of transpose of r-matrix and p-vector +** eraZp zero p-vector +** eraAb stellar aberration +** eraLdn light deflection by n bodies +** eraC2s p-vector to spherical +** eraAnp normalize angle into range +/- pi +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int j, i; + double pi[3], ppr[3], pnat[3], pco[3], w, d[3], before[3], r2, r, + after[3]; + + +/* CIRS RA,Dec to Cartesian. */ + eraS2c(ri, di, pi); + +/* Bias-precession-nutation, giving GCRS proper direction. */ + eraTrxp(astrom->bpn, pi, ppr); + +/* Aberration, giving GCRS natural direction. */ + eraZp(d); + for (j = 0; j < 2; j++) { + r2 = 0.0; + for (i = 0; i < 3; i++) { + w = ppr[i] - d[i]; + before[i] = w; + r2 += w*w; + } + r = sqrt(r2); + for (i = 0; i < 3; i++) { + before[i] /= r; + } + eraAb(before, astrom->v, astrom->em, astrom->bm1, after); + r2 = 0.0; + for (i = 0; i < 3; i++) { + d[i] = after[i] - before[i]; + w = ppr[i] - d[i]; + pnat[i] = w; + r2 += w*w; + } + r = sqrt(r2); + for (i = 0; i < 3; i++) { + pnat[i] /= r; + } + } + +/* Light deflection, giving BCRS coordinate direction. */ + eraZp(d); + for (j = 0; j < 5; j++) { + r2 = 0.0; + for (i = 0; i < 3; i++) { + w = pnat[i] - d[i]; + before[i] = w; + r2 += w*w; + } + r = sqrt(r2); + for (i = 0; i < 3; i++) { + before[i] /= r; + } + eraLdn(n, b, astrom->eb, before, after); + r2 = 0.0; + for (i = 0; i < 3; i++) { + d[i] = after[i] - before[i]; + w = pnat[i] - d[i]; + pco[i] = w; + r2 += w*w; + } + r = sqrt(r2); + for (i = 0; i < 3; i++) { + pco[i] /= r; + } + } + +/* ICRS astrometric RA,Dec. */ + eraC2s(pco, &w, dc); + *rc = eraAnp(w); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/atio13.c b/ast/erfa/atio13.c new file mode 100644 index 0000000..36a6452 --- /dev/null +++ b/ast/erfa/atio13.c @@ -0,0 +1,222 @@ +#include "erfa.h" + +int eraAtio13(double ri, double di, + double utc1, double utc2, double dut1, + double elong, double phi, double hm, double xp, double yp, + double phpa, double tc, double rh, double wl, + double *aob, double *zob, double *hob, + double *dob, double *rob) +/* +** - - - - - - - - - - +** e r a A t i o 1 3 +** - - - - - - - - - - +** +** CIRS RA,Dec to observed place. The caller supplies UTC, site +** coordinates, ambient air conditions and observing wavelength. +** +** Given: +** ri double CIRS right ascension (CIO-based, radians) +** di double CIRS declination (radians) +** utc1 double UTC as a 2-part... +** utc2 double ...quasi Julian Date (Notes 1,2) +** dut1 double UT1-UTC (seconds, Note 3) +** elong double longitude (radians, east +ve, Note 4) +** phi double geodetic latitude (radians, Note 4) +** hm double height above ellipsoid (m, geodetic Notes 4,6) +** xp,yp double polar motion coordinates (radians, Note 5) +** phpa double pressure at the observer (hPa = mB, Note 6) +** tc double ambient temperature at the observer (deg C) +** rh double relative humidity at the observer (range 0-1) +** wl double wavelength (micrometers, Note 7) +** +** Returned: +** aob double* observed azimuth (radians: N=0,E=90) +** zob double* observed zenith distance (radians) +** hob double* observed hour angle (radians) +** dob double* observed declination (radians) +** rob double* observed right ascension (CIO-based, radians) +** +** Returned (function value): +** int status: +1 = dubious year (Note 2) +** 0 = OK +** -1 = unacceptable date +** +** Notes: +** +** 1) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any +** convenient way between the two arguments, for example where utc1 +** is the Julian Day Number and utc2 is the fraction of a day. +** +** However, JD cannot unambiguously represent UTC during a leap +** second unless special measures are taken. The convention in the +** present function is that the JD day represents UTC days whether +** the length is 86399, 86400 or 86401 SI seconds. +** +** Applications should use the function eraDtf2d to convert from +** calendar date and time of day into 2-part quasi Julian Date, as +** it implements the leap-second-ambiguity convention just +** described. +** +** 2) The warning status "dubious year" flags UTCs that predate the +** introduction of the time scale or that are too far in the +** future to be trusted. See eraDat for further details. +** +** 3) UT1-UTC is tabulated in IERS bulletins. It increases by exactly +** one second at the end of each positive UTC leap second, +** introduced in order to keep UT1-UTC within +/- 0.9s. n.b. This +** practice is under review, and in the future UT1-UTC may grow +** essentially without limit. +** +** 4) The geographical coordinates are with respect to the ERFA_WGS84 +** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the +** longitude required by the present function is east-positive +** (i.e. right-handed), in accordance with geographical convention. +** +** 5) The polar motion xp,yp can be obtained from IERS bulletins. The +** values are the coordinates (in radians) of the Celestial +** Intermediate Pole with respect to the International Terrestrial +** Reference System (see IERS Conventions 2003), measured along the +** meridians 0 and 90 deg west respectively. For many +** applications, xp and yp can be set to zero. +** +** 6) If hm, the height above the ellipsoid of the observing station +** in meters, is not known but phpa, the pressure in hPa (=mB), is +** available, an adequate estimate of hm can be obtained from the +** expression +** +** hm = -29.3 * tsl * log ( phpa / 1013.25 ); +** +** where tsl is the approximate sea-level air temperature in K +** (See Astrophysical Quantities, C.W.Allen, 3rd edition, section +** 52). Similarly, if the pressure phpa is not known, it can be +** estimated from the height of the observing station, hm, as +** follows: +** +** phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) ); +** +** Note, however, that the refraction is nearly proportional to +** the pressure and that an accurate phpa value is important for +** precise work. +** +** 7) The argument wl specifies the observing wavelength in +** micrometers. The transition from optical to radio is assumed to +** occur at 100 micrometers (about 3000 GHz). +** +** 8) "Observed" Az,ZD means the position that would be seen by a +** perfect geodetically aligned theodolite. (Zenith distance is +** used rather than altitude in order to reflect the fact that no +** allowance is made for depression of the horizon.) This is +** related to the observed HA,Dec via the standard rotation, using +** the geodetic latitude (corrected for polar motion), while the +** observed HA and RA are related simply through the Earth rotation +** angle and the site longitude. "Observed" RA,Dec or HA,Dec thus +** means the position that would be seen by a perfect equatorial +** with its polar axis aligned to the Earth's axis of rotation. +** +** 9) The accuracy of the result is limited by the corrections for +** refraction, which use a simple A*tan(z) + B*tan^3(z) model. +** Providing the meteorological parameters are known accurately and +** there are no gross local effects, the predicted astrometric +** coordinates should be within 0.05 arcsec (optical) or 1 arcsec +** (radio) for a zenith distance of less than 70 degrees, better +** than 30 arcsec (optical or radio) at 85 degrees and better +** than 20 arcmin (optical) or 30 arcmin (radio) at the horizon. +** +** 10) The complementary functions eraAtio13 and eraAtoi13 are self- +** consistent to better than 1 microarcsecond all over the +** celestial sphere. +** +** 11) It is advisable to take great care with units, as even unlikely +** values of the input parameters are accepted and processed in +** accordance with the models used. +** +** Called: +** eraApio13 astrometry parameters, CIRS-observed, 2013 +** eraAtioq quick ICRS to observed +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int j; + eraASTROM astrom; + + +/* Star-independent astrometry parameters for CIRS->observed. */ + j = eraApio13(utc1, utc2, dut1, elong, phi, hm, xp, yp, + phpa, tc, rh, wl, &astrom); + +/* Abort if bad UTC. */ + if ( j < 0 ) return j; + +/* Transform CIRS to observed. */ + eraAtioq(ri, di, &astrom, aob, zob, hob, dob, rob); + +/* Return OK/warning status. */ + return j; + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/atioq.c b/ast/erfa/atioq.c new file mode 100644 index 0000000..be3dfbc --- /dev/null +++ b/ast/erfa/atioq.c @@ -0,0 +1,244 @@ +#include "erfa.h" + +void eraAtioq(double ri, double di, eraASTROM *astrom, + double *aob, double *zob, + double *hob, double *dob, double *rob) +/* +** - - - - - - - - - +** e r a A t i o q +** - - - - - - - - - +** +** Quick CIRS to observed place transformation. +** +** Use of this function is appropriate when efficiency is important and +** where many star positions are all to be transformed for one date. +** The star-independent astrometry parameters can be obtained by +** calling eraApio[13] or eraApco[13]. +** +** Given: +** ri double CIRS right ascension +** di double CIRS declination +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double longitude + s' (radians) +** xpl double polar motion xp wrt local meridian (radians) +** ypl double polar motion yp wrt local meridian (radians) +** sphi double sine of geodetic latitude +** cphi double cosine of geodetic latitude +** diurab double magnitude of diurnal aberration vector +** eral double "local" Earth rotation angle (radians) +** refa double refraction constant A (radians) +** refb double refraction constant B (radians) +** +** Returned: +** aob double* observed azimuth (radians: N=0,E=90) +** zob double* observed zenith distance (radians) +** hob double* observed hour angle (radians) +** dob double* observed declination (radians) +** rob double* observed right ascension (CIO-based, radians) +** +** Notes: +** +** 1) This function returns zenith distance rather than altitude in +** order to reflect the fact that no allowance is made for +** depression of the horizon. +** +** 2) The accuracy of the result is limited by the corrections for +** refraction, which use a simple A*tan(z) + B*tan^3(z) model. +** Providing the meteorological parameters are known accurately and +** there are no gross local effects, the predicted observed +** coordinates should be within 0.05 arcsec (optical) or 1 arcsec +** (radio) for a zenith distance of less than 70 degrees, better +** than 30 arcsec (optical or radio) at 85 degrees and better +** than 20 arcmin (optical) or 30 arcmin (radio) at the horizon. +** +** Without refraction, the complementary functions eraAtioq and +** eraAtoiq are self-consistent to better than 1 microarcsecond all +** over the celestial sphere. With refraction included, consistency +** falls off at high zenith distances, but is still better than +** 0.05 arcsec at 85 degrees. +** +** 3) It is advisable to take great care with units, as even unlikely +** values of the input parameters are accepted and processed in +** accordance with the models used. +** +** 4) The CIRS RA,Dec is obtained from a star catalog mean place by +** allowing for space motion, parallax, the Sun's gravitational lens +** effect, annual aberration and precession-nutation. For star +** positions in the ICRS, these effects can be applied by means of +** the eraAtci13 (etc.) functions. Starting from classical "mean +** place" systems, additional transformations will be needed first. +** +** 5) "Observed" Az,El means the position that would be seen by a +** perfect geodetically aligned theodolite. This is obtained from +** the CIRS RA,Dec by allowing for Earth orientation and diurnal +** aberration, rotating from equator to horizon coordinates, and +** then adjusting for refraction. The HA,Dec is obtained by +** rotating back into equatorial coordinates, and is the position +** that would be seen by a perfect equatorial with its polar axis +** aligned to the Earth's axis of rotation. Finally, the RA is +** obtained by subtracting the HA from the local ERA. +** +** 6) The star-independent CIRS-to-observed-place parameters in ASTROM +** may be computed with eraApio[13] or eraApco[13]. If nothing has +** changed significantly except the time, eraAper[13] may be used to +** perform the requisite adjustment to the astrom structure. +** +** Called: +** eraS2c spherical coordinates to unit vector +** eraC2s p-vector to spherical +** eraAnp normalize angle into range 0 to 2pi +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Minimum cos(alt) and sin(alt) for refraction purposes */ + const double CELMIN = 1e-6; + const double SELMIN = 0.05; + + double v[3], x, y, z, xhd, yhd, zhd, f, xhdt, yhdt, zhdt, + xaet, yaet, zaet, azobs, r, tz, w, del, cosdel, + xaeo, yaeo, zaeo, zdobs, hmobs, dcobs, raobs; + +/*--------------------------------------------------------------------*/ + +/* CIRS RA,Dec to Cartesian -HA,Dec. */ + eraS2c(ri-astrom->eral, di, v); + x = v[0]; + y = v[1]; + z = v[2]; + +/* Polar motion. */ + xhd = x + astrom->xpl*z; + yhd = y - astrom->ypl*z; + zhd = z - astrom->xpl*x + astrom->ypl*y; + +/* Diurnal aberration. */ + f = ( 1.0 - astrom->diurab*yhd ); + xhdt = f * xhd; + yhdt = f * ( yhd + astrom->diurab ); + zhdt = f * zhd; + +/* Cartesian -HA,Dec to Cartesian Az,El (S=0,E=90). */ + xaet = astrom->sphi*xhdt - astrom->cphi*zhdt; + yaet = yhdt; + zaet = astrom->cphi*xhdt + astrom->sphi*zhdt; + +/* Azimuth (N=0,E=90). */ + azobs = ( xaet != 0.0 || yaet != 0.0 ) ? atan2(yaet,-xaet) : 0.0; + +/* ---------- */ +/* Refraction */ +/* ---------- */ + +/* Cosine and sine of altitude, with precautions. */ + r = sqrt(xaet*xaet + yaet*yaet); + r = r > CELMIN ? r : CELMIN; + z = zaet > SELMIN ? zaet : SELMIN; + +/* A*tan(z)+B*tan^3(z) model, with Newton-Raphson correction. */ + tz = r/z; + w = astrom->refb*tz*tz; + del = ( astrom->refa + w ) * tz / + ( 1.0 + ( astrom->refa + 3.0*w ) / ( z*z ) ); + +/* Apply the change, giving observed vector. */ + cosdel = 1.0 - del*del/2.0; + f = cosdel - del*z/r; + xaeo = xaet*f; + yaeo = yaet*f; + zaeo = cosdel*zaet + del*r; + +/* Observed ZD. */ + zdobs = atan2(sqrt(xaeo*xaeo+yaeo*yaeo), zaeo); + +/* Az/El vector to HA,Dec vector (both right-handed). */ + v[0] = astrom->sphi*xaeo + astrom->cphi*zaeo; + v[1] = yaeo; + v[2] = - astrom->cphi*xaeo + astrom->sphi*zaeo; + +/* To spherical -HA,Dec. */ + eraC2s ( v, &hmobs, &dcobs ); + +/* Right ascension (with respect to CIO). */ + raobs = astrom->eral + hmobs; + +/* Return the results. */ + *aob = eraAnp(azobs); + *zob = zdobs; + *hob = -hmobs; + *dob = dcobs; + *rob = eraAnp(raobs); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/atoc13.c b/ast/erfa/atoc13.c new file mode 100644 index 0000000..071494b --- /dev/null +++ b/ast/erfa/atoc13.c @@ -0,0 +1,233 @@ +#include "erfa.h" + +int eraAtoc13(const char *type, double ob1, double ob2, + double utc1, double utc2, double dut1, + double elong, double phi, double hm, double xp, double yp, + double phpa, double tc, double rh, double wl, + double *rc, double *dc) +/* +** - - - - - - - - - - +** e r a A t o c 1 3 +** - - - - - - - - - - +** +** Observed place at a groundbased site to to ICRS astrometric RA,Dec. +** The caller supplies UTC, site coordinates, ambient air conditions +** and observing wavelength. +** +** Given: +** type char[] type of coordinates - "R", "H" or "A" (Notes 1,2) +** ob1 double observed Az, HA or RA (radians; Az is N=0,E=90) +** ob2 double observed ZD or Dec (radians) +** utc1 double UTC as a 2-part... +** utc2 double ...quasi Julian Date (Notes 3,4) +** dut1 double UT1-UTC (seconds, Note 5) +** elong double longitude (radians, east +ve, Note 6) +** phi double geodetic latitude (radians, Note 6) +** hm double height above ellipsoid (m, geodetic Notes 6,8) +** xp,yp double polar motion coordinates (radians, Note 7) +** phpa double pressure at the observer (hPa = mB, Note 8) +** tc double ambient temperature at the observer (deg C) +** rh double relative humidity at the observer (range 0-1) +** wl double wavelength (micrometers, Note 9) +** +** Returned: +** rc,dc double ICRS astrometric RA,Dec (radians) +** +** Returned (function value): +** int status: +1 = dubious year (Note 4) +** 0 = OK +** -1 = unacceptable date +** +** Notes: +** +** 1) "Observed" Az,ZD means the position that would be seen by a +** perfect geodetically aligned theodolite. (Zenith distance is +** used rather than altitude in order to reflect the fact that no +** allowance is made for depression of the horizon.) This is +** related to the observed HA,Dec via the standard rotation, using +** the geodetic latitude (corrected for polar motion), while the +** observed HA and RA are related simply through the Earth rotation +** angle and the site longitude. "Observed" RA,Dec or HA,Dec thus +** means the position that would be seen by a perfect equatorial +** with its polar axis aligned to the Earth's axis of rotation. +** +** 2) Only the first character of the type argument is significant. +** "R" or "r" indicates that ob1 and ob2 are the observed right +** ascension and declination; "H" or "h" indicates that they are +** hour angle (west +ve) and declination; anything else ("A" or +** "a" is recommended) indicates that ob1 and ob2 are azimuth +** (north zero, east 90 deg) and zenith distance. +** +** 3) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any +** convenient way between the two arguments, for example where utc1 +** is the Julian Day Number and utc2 is the fraction of a day. +** +** However, JD cannot unambiguously represent UTC during a leap +** second unless special measures are taken. The convention in the +** present function is that the JD day represents UTC days whether +** the length is 86399, 86400 or 86401 SI seconds. +** +** Applications should use the function eraDtf2d to convert from +** calendar date and time of day into 2-part quasi Julian Date, as +** it implements the leap-second-ambiguity convention just +** described. +** +** 4) The warning status "dubious year" flags UTCs that predate the +** introduction of the time scale or that are too far in the +** future to be trusted. See eraDat for further details. +** +** 5) UT1-UTC is tabulated in IERS bulletins. It increases by exactly +** one second at the end of each positive UTC leap second, +** introduced in order to keep UT1-UTC within +/- 0.9s. n.b. This +** practice is under review, and in the future UT1-UTC may grow +** essentially without limit. +** +** 6) The geographical coordinates are with respect to the ERFA_WGS84 +** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the +** longitude required by the present function is east-positive +** (i.e. right-handed), in accordance with geographical convention. +** +** 7) The polar motion xp,yp can be obtained from IERS bulletins. The +** values are the coordinates (in radians) of the Celestial +** Intermediate Pole with respect to the International Terrestrial +** Reference System (see IERS Conventions 2003), measured along the +** meridians 0 and 90 deg west respectively. For many +** applications, xp and yp can be set to zero. +** +** 8) If hm, the height above the ellipsoid of the observing station +** in meters, is not known but phpa, the pressure in hPa (=mB), is +** available, an adequate estimate of hm can be obtained from the +** expression +** +** hm = -29.3 * tsl * log ( phpa / 1013.25 ); +** +** where tsl is the approximate sea-level air temperature in K +** (See Astrophysical Quantities, C.W.Allen, 3rd edition, section +** 52). Similarly, if the pressure phpa is not known, it can be +** estimated from the height of the observing station, hm, as +** follows: +** +** phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) ); +** +** Note, however, that the refraction is nearly proportional to +** the pressure and that an accurate phpa value is important for +** precise work. +** +** 9) The argument wl specifies the observing wavelength in +** micrometers. The transition from optical to radio is assumed to +** occur at 100 micrometers (about 3000 GHz). +** +** 10) The accuracy of the result is limited by the corrections for +** refraction, which use a simple A*tan(z) + B*tan^3(z) model. +** Providing the meteorological parameters are known accurately and +** there are no gross local effects, the predicted astrometric +** coordinates should be within 0.05 arcsec (optical) or 1 arcsec +** (radio) for a zenith distance of less than 70 degrees, better +** than 30 arcsec (optical or radio) at 85 degrees and better +** than 20 arcmin (optical) or 30 arcmin (radio) at the horizon. +** +** Without refraction, the complementary functions eraAtco13 and +** eraAtoc13 are self-consistent to better than 1 microarcsecond +** all over the celestial sphere. With refraction included, +** consistency falls off at high zenith distances, but is still +** better than 0.05 arcsec at 85 degrees. +** +** 11) It is advisable to take great care with units, as even unlikely +** values of the input parameters are accepted and processed in +** accordance with the models used. +** +** Called: +** eraApco13 astrometry parameters, ICRS-observed +** eraAtoiq quick observed to CIRS +** eraAticq quick CIRS to ICRS +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int j; + eraASTROM astrom; + double eo, ri, di; + + +/* Star-independent astrometry parameters. */ + j = eraApco13(utc1, utc2, dut1, elong, phi, hm, xp, yp, + phpa, tc, rh, wl, &astrom, &eo); + +/* Abort if bad UTC. */ + if ( j < 0 ) return j; + +/* Transform observed to CIRS. */ + eraAtoiq(type, ob1, ob2, &astrom, &ri, &di); + +/* Transform CIRS to ICRS. */ + eraAticq(ri, di, &astrom, rc, dc); + +/* Return OK/warning status. */ + return j; + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/atoi13.c b/ast/erfa/atoi13.c new file mode 100644 index 0000000..87d68c9 --- /dev/null +++ b/ast/erfa/atoi13.c @@ -0,0 +1,228 @@ +#include "erfa.h" + +int eraAtoi13(const char *type, double ob1, double ob2, + double utc1, double utc2, double dut1, + double elong, double phi, double hm, double xp, double yp, + double phpa, double tc, double rh, double wl, + double *ri, double *di) +/* +** - - - - - - - - - - +** e r a A t o i 1 3 +** - - - - - - - - - - +** +** Observed place to CIRS. The caller supplies UTC, site coordinates, +** ambient air conditions and observing wavelength. +** +** Given: +** type char[] type of coordinates - "R", "H" or "A" (Notes 1,2) +** ob1 double observed Az, HA or RA (radians; Az is N=0,E=90) +** ob2 double observed ZD or Dec (radians) +** utc1 double UTC as a 2-part... +** utc2 double ...quasi Julian Date (Notes 3,4) +** dut1 double UT1-UTC (seconds, Note 5) +** elong double longitude (radians, east +ve, Note 6) +** phi double geodetic latitude (radians, Note 6) +** hm double height above the ellipsoid (meters, Notes 6,8) +** xp,yp double polar motion coordinates (radians, Note 7) +** phpa double pressure at the observer (hPa = mB, Note 8) +** tc double ambient temperature at the observer (deg C) +** rh double relative humidity at the observer (range 0-1) +** wl double wavelength (micrometers, Note 9) +** +** Returned: +** ri double* CIRS right ascension (CIO-based, radians) +** di double* CIRS declination (radians) +** +** Returned (function value): +** int status: +1 = dubious year (Note 2) +** 0 = OK +** -1 = unacceptable date +** +** Notes: +** +** 1) "Observed" Az,ZD means the position that would be seen by a +** perfect geodetically aligned theodolite. (Zenith distance is +** used rather than altitude in order to reflect the fact that no +** allowance is made for depression of the horizon.) This is +** related to the observed HA,Dec via the standard rotation, using +** the geodetic latitude (corrected for polar motion), while the +** observed HA and RA are related simply through the Earth rotation +** angle and the site longitude. "Observed" RA,Dec or HA,Dec thus +** means the position that would be seen by a perfect equatorial +** with its polar axis aligned to the Earth's axis of rotation. +** +** 2) Only the first character of the type argument is significant. +** "R" or "r" indicates that ob1 and ob2 are the observed right +** ascension and declination; "H" or "h" indicates that they are +** hour angle (west +ve) and declination; anything else ("A" or +** "a" is recommended) indicates that ob1 and ob2 are azimuth +** (north zero, east 90 deg) and zenith distance. +** +** 3) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any +** convenient way between the two arguments, for example where utc1 +** is the Julian Day Number and utc2 is the fraction of a day. +** +** However, JD cannot unambiguously represent UTC during a leap +** second unless special measures are taken. The convention in the +** present function is that the JD day represents UTC days whether +** the length is 86399, 86400 or 86401 SI seconds. +** +** Applications should use the function eraDtf2d to convert from +** calendar date and time of day into 2-part quasi Julian Date, as +** it implements the leap-second-ambiguity convention just +** described. +** +** 4) The warning status "dubious year" flags UTCs that predate the +** introduction of the time scale or that are too far in the +** future to be trusted. See eraDat for further details. +** +** 5) UT1-UTC is tabulated in IERS bulletins. It increases by exactly +** one second at the end of each positive UTC leap second, +** introduced in order to keep UT1-UTC within +/- 0.9s. n.b. This +** practice is under review, and in the future UT1-UTC may grow +** essentially without limit. +** +** 6) The geographical coordinates are with respect to the ERFA_WGS84 +** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the +** longitude required by the present function is east-positive +** (i.e. right-handed), in accordance with geographical convention. +** +** 7) The polar motion xp,yp can be obtained from IERS bulletins. The +** values are the coordinates (in radians) of the Celestial +** Intermediate Pole with respect to the International Terrestrial +** Reference System (see IERS Conventions 2003), measured along the +** meridians 0 and 90 deg west respectively. For many +** applications, xp and yp can be set to zero. +** +** 8) If hm, the height above the ellipsoid of the observing station +** in meters, is not known but phpa, the pressure in hPa (=mB), is +** available, an adequate estimate of hm can be obtained from the +** expression +** +** hm = -29.3 * tsl * log ( phpa / 1013.25 ); +** +** where tsl is the approximate sea-level air temperature in K +** (See Astrophysical Quantities, C.W.Allen, 3rd edition, section +** 52). Similarly, if the pressure phpa is not known, it can be +** estimated from the height of the observing station, hm, as +** follows: +** +** phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) ); +** +** Note, however, that the refraction is nearly proportional to +** the pressure and that an accurate phpa value is important for +** precise work. +** +** 9) The argument wl specifies the observing wavelength in +** micrometers. The transition from optical to radio is assumed to +** occur at 100 micrometers (about 3000 GHz). +** +** 10) The accuracy of the result is limited by the corrections for +** refraction, which use a simple A*tan(z) + B*tan^3(z) model. +** Providing the meteorological parameters are known accurately and +** there are no gross local effects, the predicted astrometric +** coordinates should be within 0.05 arcsec (optical) or 1 arcsec +** (radio) for a zenith distance of less than 70 degrees, better +** than 30 arcsec (optical or radio) at 85 degrees and better +** than 20 arcmin (optical) or 30 arcmin (radio) at the horizon. +** +** Without refraction, the complementary functions eraAtio13 and +** eraAtoi13 are self-consistent to better than 1 microarcsecond +** all over the celestial sphere. With refraction included, +** consistency falls off at high zenith distances, but is still +** better than 0.05 arcsec at 85 degrees. +** +** 12) It is advisable to take great care with units, as even unlikely +** values of the input parameters are accepted and processed in +** accordance with the models used. +** +** Called: +** eraApio13 astrometry parameters, CIRS-observed, 2013 +** eraAtoiq quick observed to CIRS +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int j; + eraASTROM astrom; + + +/* Star-independent astrometry parameters for CIRS->observed. */ + j = eraApio13(utc1, utc2, dut1, elong, phi, hm, xp, yp, + phpa, tc, rh, wl, &astrom); + +/* Abort if bad UTC. */ + if ( j < 0 ) return j; + +/* Transform observed to CIRS. */ + eraAtoiq(type, ob1, ob2, &astrom, ri, di); + +/* Return OK/warning status. */ + return j; + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/atoiq.c b/ast/erfa/atoiq.c new file mode 100644 index 0000000..646f9ae --- /dev/null +++ b/ast/erfa/atoiq.c @@ -0,0 +1,260 @@ +#include "erfa.h" + +void eraAtoiq(const char *type, + double ob1, double ob2, eraASTROM *astrom, + double *ri, double *di) +/* +** - - - - - - - - - +** e r a A t o i q +** - - - - - - - - - +** +** Quick observed place to CIRS, given the star-independent astrometry +** parameters. +** +** Use of this function is appropriate when efficiency is important and +** where many star positions are all to be transformed for one date. +** The star-independent astrometry parameters can be obtained by +** calling eraApio[13] or eraApco[13]. +** +** Given: +** type char[] type of coordinates: "R", "H" or "A" (Note 1) +** ob1 double observed Az, HA or RA (radians; Az is N=0,E=90) +** ob2 double observed ZD or Dec (radians) +** astrom eraASTROM* star-independent astrometry parameters: +** pmt double PM time interval (SSB, Julian years) +** eb double[3] SSB to observer (vector, au) +** eh double[3] Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** v double[3] barycentric observer velocity (vector, c) +** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor +** bpn double[3][3] bias-precession-nutation matrix +** along double longitude + s' (radians) +** xpl double polar motion xp wrt local meridian (radians) +** ypl double polar motion yp wrt local meridian (radians) +** sphi double sine of geodetic latitude +** cphi double cosine of geodetic latitude +** diurab double magnitude of diurnal aberration vector +** eral double "local" Earth rotation angle (radians) +** refa double refraction constant A (radians) +** refb double refraction constant B (radians) +** +** Returned: +** ri double* CIRS right ascension (CIO-based, radians) +** di double* CIRS declination (radians) +** +** Notes: +** +** 1) "Observed" Az,El means the position that would be seen by a +** perfect geodetically aligned theodolite. This is related to +** the observed HA,Dec via the standard rotation, using the geodetic +** latitude (corrected for polar motion), while the observed HA and +** RA are related simply through the Earth rotation angle and the +** site longitude. "Observed" RA,Dec or HA,Dec thus means the +** position that would be seen by a perfect equatorial with its +** polar axis aligned to the Earth's axis of rotation. By removing +** from the observed place the effects of atmospheric refraction and +** diurnal aberration, the CIRS RA,Dec is obtained. +** +** 2) Only the first character of the type argument is significant. +** "R" or "r" indicates that ob1 and ob2 are the observed right +** ascension and declination; "H" or "h" indicates that they are +** hour angle (west +ve) and declination; anything else ("A" or +** "a" is recommended) indicates that ob1 and ob2 are azimuth (north +** zero, east 90 deg) and zenith distance. (Zenith distance is used +** rather than altitude in order to reflect the fact that no +** allowance is made for depression of the horizon.) +** +** 3) The accuracy of the result is limited by the corrections for +** refraction, which use a simple A*tan(z) + B*tan^3(z) model. +** Providing the meteorological parameters are known accurately and +** there are no gross local effects, the predicted observed +** coordinates should be within 0.05 arcsec (optical) or 1 arcsec +** (radio) for a zenith distance of less than 70 degrees, better +** than 30 arcsec (optical or radio) at 85 degrees and better than +** 20 arcmin (optical) or 30 arcmin (radio) at the horizon. +** +** Without refraction, the complementary functions eraAtioq and +** eraAtoiq are self-consistent to better than 1 microarcsecond all +** over the celestial sphere. With refraction included, consistency +** falls off at high zenith distances, but is still better than +** 0.05 arcsec at 85 degrees. +** +** 4) It is advisable to take great care with units, as even unlikely +** values of the input parameters are accepted and processed in +** accordance with the models used. +** +** Called: +** eraS2c spherical coordinates to unit vector +** eraC2s p-vector to spherical +** eraAnp normalize angle into range 0 to 2pi +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int c; + double c1, c2, sphi, cphi, ce, xaeo, yaeo, zaeo, v[3], + xmhdo, ymhdo, zmhdo, az, sz, zdo, refa, refb, tz, dref, + zdt, xaet, yaet, zaet, xmhda, ymhda, zmhda, + f, xhd, yhd, zhd, xpl, ypl, w, hma; + + +/* Coordinate type. */ + c = (int) type[0]; + +/* Coordinates. */ + c1 = ob1; + c2 = ob2; + +/* Sin, cos of latitude. */ + sphi = astrom->sphi; + cphi = astrom->cphi; + +/* Standardize coordinate type. */ + if ( c == 'r' || c == 'R' ) { + c = 'R'; + } else if ( c == 'h' || c == 'H' ) { + c = 'H'; + } else { + c = 'A'; + } + +/* If Az,ZD, convert to Cartesian (S=0,E=90). */ + if ( c == 'A' ) { + ce = sin(c2); + xaeo = - cos(c1) * ce; + yaeo = sin(c1) * ce; + zaeo = cos(c2); + + } else { + + /* If RA,Dec, convert to HA,Dec. */ + if ( c == 'R' ) c1 = astrom->eral - c1; + + /* To Cartesian -HA,Dec. */ + eraS2c ( -c1, c2, v ); + xmhdo = v[0]; + ymhdo = v[1]; + zmhdo = v[2]; + + /* To Cartesian Az,El (S=0,E=90). */ + xaeo = sphi*xmhdo - cphi*zmhdo; + yaeo = ymhdo; + zaeo = cphi*xmhdo + sphi*zmhdo; + } + +/* Azimuth (S=0,E=90). */ + az = ( xaeo != 0.0 || yaeo != 0.0 ) ? atan2(yaeo,xaeo) : 0.0; + +/* Sine of observed ZD, and observed ZD. */ + sz = sqrt ( xaeo*xaeo + yaeo*yaeo ); + zdo = atan2 ( sz, zaeo ); + +/* +** Refraction +** ---------- +*/ + +/* Fast algorithm using two constant model. */ + refa = astrom->refa; + refb = astrom->refb; + tz = sz / zaeo; + dref = ( refa + refb*tz*tz ) * tz; + zdt = zdo + dref; + +/* To Cartesian Az,ZD. */ + ce = sin(zdt); + xaet = cos(az) * ce; + yaet = sin(az) * ce; + zaet = cos(zdt); + +/* Cartesian Az,ZD to Cartesian -HA,Dec. */ + xmhda = sphi*xaet + cphi*zaet; + ymhda = yaet; + zmhda = - cphi*xaet + sphi*zaet; + +/* Diurnal aberration. */ + f = ( 1.0 + astrom->diurab*ymhda ); + xhd = f * xmhda; + yhd = f * ( ymhda - astrom->diurab ); + zhd = f * zmhda; + +/* Polar motion. */ + xpl = astrom->xpl; + ypl = astrom->ypl; + w = xpl*xhd - ypl*yhd + zhd; + v[0] = xhd - xpl*w; + v[1] = yhd + ypl*w; + v[2] = w - ( xpl*xpl + ypl*ypl ) * zhd; + +/* To spherical -HA,Dec. */ + eraC2s(v, &hma, di); + +/* Right ascension. */ + *ri = eraAnp(astrom->eral + hma); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/bi00.c b/ast/erfa/bi00.c new file mode 100644 index 0000000..8d0a303 --- /dev/null +++ b/ast/erfa/bi00.c @@ -0,0 +1,125 @@ +#include "erfa.h" + +void eraBi00(double *dpsibi, double *depsbi, double *dra) +/* +** - - - - - - - - +** e r a B i 0 0 +** - - - - - - - - +** +** Frame bias components of IAU 2000 precession-nutation models (part +** of MHB2000 with additions). +** +** Returned: +** dpsibi,depsbi double longitude and obliquity corrections +** dra double the ICRS RA of the J2000.0 mean equinox +** +** Notes: +** +** 1) The frame bias corrections in longitude and obliquity (radians) +** are required in order to correct for the offset between the GCRS +** pole and the mean J2000.0 pole. They define, with respect to the +** GCRS frame, a J2000.0 mean pole that is consistent with the rest +** of the IAU 2000A precession-nutation model. +** +** 2) In addition to the displacement of the pole, the complete +** description of the frame bias requires also an offset in right +** ascension. This is not part of the IAU 2000A model, and is from +** Chapront et al. (2002). It is returned in radians. +** +** 3) This is a supplemented implementation of one aspect of the IAU +** 2000A nutation model, formally adopted by the IAU General +** Assembly in 2000, namely MHB2000 (Mathews et al. 2002). +** +** References: +** +** Chapront, J., Chapront-Touze, M. & Francou, G., Astron. +** Astrophys., 387, 700, 2002. +** +** Mathews, P.M., Herring, T.A., Buffet, B.A., "Modeling of nutation +** and precession New nutation series for nonrigid Earth and +** insights into the Earth's interior", J.Geophys.Res., 107, B4, +** 2002. The MHB2000 code itself was obtained on 9th September 2002 +** from ftp://maia.usno.navy.mil/conv2000/chapter5/IAU2000A. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* The frame bias corrections in longitude and obliquity */ + const double DPBIAS = -0.041775 * ERFA_DAS2R, + DEBIAS = -0.0068192 * ERFA_DAS2R; + +/* The ICRS RA of the J2000.0 equinox (Chapront et al., 2002) */ + const double DRA0 = -0.0146 * ERFA_DAS2R; + + +/* Return the results (which are fixed). */ + *dpsibi = DPBIAS; + *depsbi = DEBIAS; + *dra = DRA0; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/bp00.c b/ast/erfa/bp00.c new file mode 100644 index 0000000..b626322 --- /dev/null +++ b/ast/erfa/bp00.c @@ -0,0 +1,181 @@ +#include "erfa.h" + +void eraBp00(double date1, double date2, + double rb[3][3], double rp[3][3], double rbp[3][3]) +/* +** - - - - - - - - +** e r a B p 0 0 +** - - - - - - - - +** +** Frame bias and precession, IAU 2000. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** rb double[3][3] frame bias matrix (Note 2) +** rp double[3][3] precession matrix (Note 3) +** rbp double[3][3] bias-precession matrix (Note 4) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix rb transforms vectors from GCRS to mean J2000.0 by +** applying frame bias. +** +** 3) The matrix rp transforms vectors from J2000.0 mean equator and +** equinox to mean equator and equinox of date by applying +** precession. +** +** 4) The matrix rbp transforms vectors from GCRS to mean equator and +** equinox of date by applying frame bias then precession. It is +** the product rp x rb. +** +** 5) It is permissible to re-use the same array in the returned +** arguments. The arrays are filled in the order given. +** +** Called: +** eraBi00 frame bias components, IAU 2000 +** eraPr00 IAU 2000 precession adjustments +** eraIr initialize r-matrix to identity +** eraRx rotate around X-axis +** eraRy rotate around Y-axis +** eraRz rotate around Z-axis +** eraCr copy r-matrix +** eraRxr product of two r-matrices +** +** Reference: +** "Expressions for the Celestial Intermediate Pole and Celestial +** Ephemeris Origin consistent with the IAU 2000A precession- +** nutation model", Astron.Astrophys. 400, 1145-1154 (2003) +** +** n.b. The celestial ephemeris origin (CEO) was renamed "celestial +** intermediate origin" (CIO) by IAU 2006 Resolution 2. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* J2000.0 obliquity (Lieske et al. 1977) */ + const double EPS0 = 84381.448 * ERFA_DAS2R; + + double t, dpsibi, depsbi, dra0, psia77, oma77, chia, + dpsipr, depspr, psia, oma, rbw[3][3]; + + +/* Interval between fundamental epoch J2000.0 and current date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* Frame bias. */ + eraBi00(&dpsibi, &depsbi, &dra0); + +/* Precession angles (Lieske et al. 1977) */ + psia77 = (5038.7784 + (-1.07259 + (-0.001147) * t) * t) * t * ERFA_DAS2R; + oma77 = EPS0 + ((0.05127 + (-0.007726) * t) * t) * t * ERFA_DAS2R; + chia = ( 10.5526 + (-2.38064 + (-0.001125) * t) * t) * t * ERFA_DAS2R; + +/* Apply IAU 2000 precession corrections. */ + eraPr00(date1, date2, &dpsipr, &depspr); + psia = psia77 + dpsipr; + oma = oma77 + depspr; + +/* Frame bias matrix: GCRS to J2000.0. */ + eraIr(rbw); + eraRz(dra0, rbw); + eraRy(dpsibi*sin(EPS0), rbw); + eraRx(-depsbi, rbw); + eraCr(rbw, rb); + +/* Precession matrix: J2000.0 to mean of date. */ + eraIr(rp); + eraRx(EPS0, rp); + eraRz(-psia, rp); + eraRx(-oma, rp); + eraRz(chia, rp); + +/* Bias-precession matrix: GCRS to mean of date. */ + eraRxr(rp, rbw, rbp); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/bp06.c b/ast/erfa/bp06.c new file mode 100644 index 0000000..18d07b7 --- /dev/null +++ b/ast/erfa/bp06.c @@ -0,0 +1,152 @@ +#include "erfa.h" + +void eraBp06(double date1, double date2, + double rb[3][3], double rp[3][3], double rbp[3][3]) +/* +** - - - - - - - - +** e r a B p 0 6 +** - - - - - - - - +** +** Frame bias and precession, IAU 2006. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** rb double[3][3] frame bias matrix (Note 2) +** rp double[3][3] precession matrix (Note 3) +** rbp double[3][3] bias-precession matrix (Note 4) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix rb transforms vectors from GCRS to mean J2000.0 by +** applying frame bias. +** +** 3) The matrix rp transforms vectors from mean J2000.0 to mean of +** date by applying precession. +** +** 4) The matrix rbp transforms vectors from GCRS to mean of date by +** applying frame bias then precession. It is the product rp x rb. +** +** 5) It is permissible to re-use the same array in the returned +** arguments. The arrays are filled in the order given. +** +** Called: +** eraPfw06 bias-precession F-W angles, IAU 2006 +** eraFw2m F-W angles to r-matrix +** eraPmat06 PB matrix, IAU 2006 +** eraTr transpose r-matrix +** eraRxr product of two r-matrices +** eraCr copy r-matrix +** +** References: +** +** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 +** +** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double gamb, phib, psib, epsa, rbpw[3][3], rbt[3][3]; + + +/* B matrix. */ + eraPfw06(ERFA_DJM0, ERFA_DJM00, &gamb, &phib, &psib, &epsa); + eraFw2m(gamb, phib, psib, epsa, rb); + +/* PxB matrix (temporary). */ + eraPmat06(date1, date2, rbpw); + +/* P matrix. */ + eraTr(rb, rbt); + eraRxr(rbpw, rbt, rp); + +/* PxB matrix. */ + eraCr(rbpw, rbp); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/bpn2xy.c b/ast/erfa/bpn2xy.c new file mode 100644 index 0000000..0424601 --- /dev/null +++ b/ast/erfa/bpn2xy.c @@ -0,0 +1,109 @@ +#include "erfa.h" + +void eraBpn2xy(double rbpn[3][3], double *x, double *y) +/* +** - - - - - - - - - - +** e r a B p n 2 x y +** - - - - - - - - - - +** +** Extract from the bias-precession-nutation matrix the X,Y coordinates +** of the Celestial Intermediate Pole. +** +** Given: +** rbpn double[3][3] celestial-to-true matrix (Note 1) +** +** Returned: +** x,y double Celestial Intermediate Pole (Note 2) +** +** Notes: +** +** 1) The matrix rbpn transforms vectors from GCRS to true equator (and +** CIO or equinox) of date, and therefore the Celestial Intermediate +** Pole unit vector is the bottom row of the matrix. +** +** 2) The arguments x,y are components of the Celestial Intermediate +** Pole unit vector in the Geocentric Celestial Reference System. +** +** Reference: +** +** "Expressions for the Celestial Intermediate Pole and Celestial +** Ephemeris Origin consistent with the IAU 2000A precession- +** nutation model", Astron.Astrophys. 400, 1145-1154 +** (2003) +** +** n.b. The celestial ephemeris origin (CEO) was renamed "celestial +** intermediate origin" (CIO) by IAU 2006 Resolution 2. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Extract the X,Y coordinates. */ + *x = rbpn[2][0]; + *y = rbpn[2][1]; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2i00a.c b/ast/erfa/c2i00a.c new file mode 100644 index 0000000..a41552d --- /dev/null +++ b/ast/erfa/c2i00a.c @@ -0,0 +1,148 @@ +#include "erfa.h" + +void eraC2i00a(double date1, double date2, double rc2i[3][3]) +/* +** - - - - - - - - - - +** e r a C 2 i 0 0 a +** - - - - - - - - - - +** +** Form the celestial-to-intermediate matrix for a given date using the +** IAU 2000A precession-nutation model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** rc2i double[3][3] celestial-to-intermediate matrix (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix rc2i is the first stage in the transformation from +** celestial to terrestrial coordinates: +** +** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS] +** +** = rc2t * [CRS] +** +** where [CRS] is a vector in the Geocentric Celestial Reference +** System and [TRS] is a vector in the International Terrestrial +** Reference System (see IERS Conventions 2003), ERA is the Earth +** Rotation Angle and RPOM is the polar motion matrix. +** +** 3) A faster, but slightly less accurate result (about 1 mas), can be +** obtained by using instead the eraC2i00b function. +** +** Called: +** eraPnm00a classical NPB matrix, IAU 2000A +** eraC2ibpn celestial-to-intermediate matrix, given NPB matrix +** +** References: +** +** "Expressions for the Celestial Intermediate Pole and Celestial +** Ephemeris Origin consistent with the IAU 2000A precession- +** nutation model", Astron.Astrophys. 400, 1145-1154 +** (2003) +** +** n.b. The celestial ephemeris origin (CEO) was renamed "celestial +** intermediate origin" (CIO) by IAU 2006 Resolution 2. +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rbpn[3][3]; + + +/* Obtain the celestial-to-true matrix (IAU 2000A). */ + eraPnm00a(date1, date2, rbpn); + +/* Form the celestial-to-intermediate matrix. */ + eraC2ibpn(date1, date2, rbpn, rc2i); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2i00b.c b/ast/erfa/c2i00b.c new file mode 100644 index 0000000..5f95a8b --- /dev/null +++ b/ast/erfa/c2i00b.c @@ -0,0 +1,148 @@ +#include "erfa.h" + +void eraC2i00b(double date1, double date2, double rc2i[3][3]) +/* +** - - - - - - - - - - +** e r a C 2 i 0 0 b +** - - - - - - - - - - +** +** Form the celestial-to-intermediate matrix for a given date using the +** IAU 2000B precession-nutation model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** rc2i double[3][3] celestial-to-intermediate matrix (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix rc2i is the first stage in the transformation from +** celestial to terrestrial coordinates: +** +** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS] +** +** = rc2t * [CRS] +** +** where [CRS] is a vector in the Geocentric Celestial Reference +** System and [TRS] is a vector in the International Terrestrial +** Reference System (see IERS Conventions 2003), ERA is the Earth +** Rotation Angle and RPOM is the polar motion matrix. +** +** 3) The present function is faster, but slightly less accurate (about +** 1 mas), than the eraC2i00a function. +** +** Called: +** eraPnm00b classical NPB matrix, IAU 2000B +** eraC2ibpn celestial-to-intermediate matrix, given NPB matrix +** +** References: +** +** "Expressions for the Celestial Intermediate Pole and Celestial +** Ephemeris Origin consistent with the IAU 2000A precession- +** nutation model", Astron.Astrophys. 400, 1145-1154 +** (2003) +** +** n.b. The celestial ephemeris origin (CEO) was renamed "celestial +** intermediate origin" (CIO) by IAU 2006 Resolution 2. +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rbpn[3][3]; + + +/* Obtain the celestial-to-true matrix (IAU 2000B). */ + eraPnm00b(date1, date2, rbpn); + +/* Form the celestial-to-intermediate matrix. */ + eraC2ibpn(date1, date2, rbpn, rc2i); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2i06a.c b/ast/erfa/c2i06a.c new file mode 100644 index 0000000..b8561e5 --- /dev/null +++ b/ast/erfa/c2i06a.c @@ -0,0 +1,145 @@ +#include "erfa.h" + +void eraC2i06a(double date1, double date2, double rc2i[3][3]) +/* +** - - - - - - - - - - +** e r a C 2 i 0 6 a +** - - - - - - - - - - +** +** Form the celestial-to-intermediate matrix for a given date using the +** IAU 2006 precession and IAU 2000A nutation models. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** rc2i double[3][3] celestial-to-intermediate matrix (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix rc2i is the first stage in the transformation from +** celestial to terrestrial coordinates: +** +** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS] +** +** = RC2T * [CRS] +** +** where [CRS] is a vector in the Geocentric Celestial Reference +** System and [TRS] is a vector in the International Terrestrial +** Reference System (see IERS Conventions 2003), ERA is the Earth +** Rotation Angle and RPOM is the polar motion matrix. +** +** Called: +** eraPnm06a classical NPB matrix, IAU 2006/2000A +** eraBpn2xy extract CIP X,Y coordinates from NPB matrix +** eraS06 the CIO locator s, given X,Y, IAU 2006 +** eraC2ixys celestial-to-intermediate matrix, given X,Y and s +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003), +** IERS Technical Note No. 32, BKG +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rbpn[3][3], x, y, s; + + +/* Obtain the celestial-to-true matrix (IAU 2006/2000A). */ + eraPnm06a(date1, date2, rbpn); + +/* Extract the X,Y coordinates. */ + eraBpn2xy(rbpn, &x, &y); + +/* Obtain the CIO locator. */ + s = eraS06(date1, date2, x, y); + +/* Form the celestial-to-intermediate matrix. */ + eraC2ixys(x, y, s, rc2i); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2ibpn.c b/ast/erfa/c2ibpn.c new file mode 100644 index 0000000..74cd10b --- /dev/null +++ b/ast/erfa/c2ibpn.c @@ -0,0 +1,151 @@ +#include "erfa.h" + +void eraC2ibpn(double date1, double date2, double rbpn[3][3], + double rc2i[3][3]) +/* +** - - - - - - - - - - +** e r a C 2 i b p n +** - - - - - - - - - - +** +** Form the celestial-to-intermediate matrix for a given date given +** the bias-precession-nutation matrix. IAU 2000. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** rbpn double[3][3] celestial-to-true matrix (Note 2) +** +** Returned: +** rc2i double[3][3] celestial-to-intermediate matrix (Note 3) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix rbpn transforms vectors from GCRS to true equator (and +** CIO or equinox) of date. Only the CIP (bottom row) is used. +** +** 3) The matrix rc2i is the first stage in the transformation from +** celestial to terrestrial coordinates: +** +** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS] +** +** = RC2T * [CRS] +** +** where [CRS] is a vector in the Geocentric Celestial Reference +** System and [TRS] is a vector in the International Terrestrial +** Reference System (see IERS Conventions 2003), ERA is the Earth +** Rotation Angle and RPOM is the polar motion matrix. +** +** 4) Although its name does not include "00", This function is in fact +** specific to the IAU 2000 models. +** +** Called: +** eraBpn2xy extract CIP X,Y coordinates from NPB matrix +** eraC2ixy celestial-to-intermediate matrix, given X,Y +** +** References: +** "Expressions for the Celestial Intermediate Pole and Celestial +** Ephemeris Origin consistent with the IAU 2000A precession- +** nutation model", Astron.Astrophys. 400, 1145-1154 (2003) +** +** n.b. The celestial ephemeris origin (CEO) was renamed "celestial +** intermediate origin" (CIO) by IAU 2006 Resolution 2. +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double x, y; + + +/* Extract the X,Y coordinates. */ + eraBpn2xy(rbpn, &x, &y); + +/* Form the celestial-to-intermediate matrix (n.b. IAU 2000 specific). */ + eraC2ixy(date1, date2, x, y, rc2i); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2ixy.c b/ast/erfa/c2ixy.c new file mode 100644 index 0000000..95451b1 --- /dev/null +++ b/ast/erfa/c2ixy.c @@ -0,0 +1,140 @@ +#include "erfa.h" + +void eraC2ixy(double date1, double date2, double x, double y, + double rc2i[3][3]) +/* +** - - - - - - - - - +** e r a C 2 i x y +** - - - - - - - - - +** +** Form the celestial to intermediate-frame-of-date matrix for a given +** date when the CIP X,Y coordinates are known. IAU 2000. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** x,y double Celestial Intermediate Pole (Note 2) +** +** Returned: +** rc2i double[3][3] celestial-to-intermediate matrix (Note 3) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The Celestial Intermediate Pole coordinates are the x,y components +** of the unit vector in the Geocentric Celestial Reference System. +** +** 3) The matrix rc2i is the first stage in the transformation from +** celestial to terrestrial coordinates: +** +** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS] +** +** = RC2T * [CRS] +** +** where [CRS] is a vector in the Geocentric Celestial Reference +** System and [TRS] is a vector in the International Terrestrial +** Reference System (see IERS Conventions 2003), ERA is the Earth +** Rotation Angle and RPOM is the polar motion matrix. +** +** 4) Although its name does not include "00", This function is in fact +** specific to the IAU 2000 models. +** +** Called: +** eraC2ixys celestial-to-intermediate matrix, given X,Y and s +** eraS00 the CIO locator s, given X,Y, IAU 2000A +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ + +{ +/* Compute s and then the matrix. */ + eraC2ixys(x, y, eraS00(date1, date2, x, y), rc2i); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2ixys.c b/ast/erfa/c2ixys.c new file mode 100644 index 0000000..c676df8 --- /dev/null +++ b/ast/erfa/c2ixys.c @@ -0,0 +1,132 @@ +#include "erfa.h" + +void eraC2ixys(double x, double y, double s, double rc2i[3][3]) +/* +** - - - - - - - - - - +** e r a C 2 i x y s +** - - - - - - - - - - +** +** Form the celestial to intermediate-frame-of-date matrix given the CIP +** X,Y and the CIO locator s. +** +** Given: +** x,y double Celestial Intermediate Pole (Note 1) +** s double the CIO locator s (Note 2) +** +** Returned: +** rc2i double[3][3] celestial-to-intermediate matrix (Note 3) +** +** Notes: +** +** 1) The Celestial Intermediate Pole coordinates are the x,y +** components of the unit vector in the Geocentric Celestial +** Reference System. +** +** 2) The CIO locator s (in radians) positions the Celestial +** Intermediate Origin on the equator of the CIP. +** +** 3) The matrix rc2i is the first stage in the transformation from +** celestial to terrestrial coordinates: +** +** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS] +** +** = RC2T * [CRS] +** +** where [CRS] is a vector in the Geocentric Celestial Reference +** System and [TRS] is a vector in the International Terrestrial +** Reference System (see IERS Conventions 2003), ERA is the Earth +** Rotation Angle and RPOM is the polar motion matrix. +** +** Called: +** eraIr initialize r-matrix to identity +** eraRz rotate around Z-axis +** eraRy rotate around Y-axis +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double r2, e, d; + + +/* Obtain the spherical angles E and d. */ + r2 = x*x + y*y; + e = (r2 != 0.0) ? atan2(y, x) : 0.0; + d = atan(sqrt(r2 / (1.0 - r2))); + +/* Form the matrix. */ + eraIr(rc2i); + eraRz(e, rc2i); + eraRy(d, rc2i); + eraRz(-(e+s), rc2i); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2s.c b/ast/erfa/c2s.c new file mode 100644 index 0000000..c5feb6c --- /dev/null +++ b/ast/erfa/c2s.c @@ -0,0 +1,105 @@ +#include "erfa.h" + +void eraC2s(double p[3], double *theta, double *phi) +/* +** - - - - - - - +** e r a C 2 s +** - - - - - - - +** +** P-vector to spherical coordinates. +** +** Given: +** p double[3] p-vector +** +** Returned: +** theta double longitude angle (radians) +** phi double latitude angle (radians) +** +** Notes: +** +** 1) The vector p can have any magnitude; only its direction is used. +** +** 2) If p is null, zero theta and phi are returned. +** +** 3) At either pole, zero theta is returned. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double x, y, z, d2; + + + x = p[0]; + y = p[1]; + z = p[2]; + d2 = x*x + y*y; + + *theta = (d2 == 0.0) ? 0.0 : atan2(y, x); + *phi = (z == 0.0) ? 0.0 : atan2(z, sqrt(d2)); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2t00a.c b/ast/erfa/c2t00a.c new file mode 100644 index 0000000..7d15e3e --- /dev/null +++ b/ast/erfa/c2t00a.c @@ -0,0 +1,163 @@ +#include "erfa.h" + +void eraC2t00a(double tta, double ttb, double uta, double utb, + double xp, double yp, double rc2t[3][3]) +/* +** - - - - - - - - - - +** e r a C 2 t 0 0 a +** - - - - - - - - - - +** +** Form the celestial to terrestrial matrix given the date, the UT1 and +** the polar motion, using the IAU 2000A nutation model. +** +** Given: +** tta,ttb double TT as a 2-part Julian Date (Note 1) +** uta,utb double UT1 as a 2-part Julian Date (Note 1) +** xp,yp double coordinates of the pole (radians, Note 2) +** +** Returned: +** rc2t double[3][3] celestial-to-terrestrial matrix (Note 3) +** +** Notes: +** +** 1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates, +** apportioned in any convenient way between the arguments uta and +** utb. For example, JD(UT1)=2450123.7 could be expressed in any of +** these ways, among others: +** +** uta utb +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution is +** acceptable. The J2000 and MJD methods are good compromises +** between resolution and convenience. In the case of uta,utb, the +** date & time method is best matched to the Earth rotation angle +** algorithm used: maximum precision is delivered when the uta +** argument is for 0hrs UT1 on the day in question and the utb +** argument lies in the range 0 to 1, or vice versa. +** +** 2) The arguments xp and yp are the coordinates (in radians) of the +** Celestial Intermediate Pole with respect to the International +** Terrestrial Reference System (see IERS Conventions 2003), +** measured along the meridians to 0 and 90 deg west respectively. +** +** 3) The matrix rc2t transforms from celestial to terrestrial +** coordinates: +** +** [TRS] = RPOM * R_3(ERA) * RC2I * [CRS] +** +** = rc2t * [CRS] +** +** where [CRS] is a vector in the Geocentric Celestial Reference +** System and [TRS] is a vector in the International Terrestrial +** Reference System (see IERS Conventions 2003), RC2I is the +** celestial-to-intermediate matrix, ERA is the Earth rotation +** angle and RPOM is the polar motion matrix. +** +** 4) A faster, but slightly less accurate result (about 1 mas), can +** be obtained by using instead the eraC2t00b function. +** +** Called: +** eraC2i00a celestial-to-intermediate matrix, IAU 2000A +** eraEra00 Earth rotation angle, IAU 2000 +** eraSp00 the TIO locator s', IERS 2000 +** eraPom00 polar motion matrix +** eraC2tcio form CIO-based celestial-to-terrestrial matrix +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rc2i[3][3], era, sp, rpom[3][3]; + + +/* Form the celestial-to-intermediate matrix for this TT (IAU 2000A). */ + eraC2i00a(tta, ttb, rc2i ); + +/* Predict the Earth rotation angle for this UT1. */ + era = eraEra00(uta, utb); + +/* Estimate s'. */ + sp = eraSp00(tta, ttb); + +/* Form the polar motion matrix. */ + eraPom00(xp, yp, sp, rpom); + +/* Combine to form the celestial-to-terrestrial matrix. */ + eraC2tcio(rc2i, era, rpom, rc2t); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2t00b.c b/ast/erfa/c2t00b.c new file mode 100644 index 0000000..5d228bb --- /dev/null +++ b/ast/erfa/c2t00b.c @@ -0,0 +1,159 @@ +#include "erfa.h" + +void eraC2t00b(double tta, double ttb, double uta, double utb, + double xp, double yp, double rc2t[3][3]) +/* +** - - - - - - - - - - +** e r a C 2 t 0 0 b +** - - - - - - - - - - +** +** Form the celestial to terrestrial matrix given the date, the UT1 and +** the polar motion, using the IAU 2000B nutation model. +** +** Given: +** tta,ttb double TT as a 2-part Julian Date (Note 1) +** uta,utb double UT1 as a 2-part Julian Date (Note 1) +** xp,yp double coordinates of the pole (radians, Note 2) +** +** Returned: +** rc2t double[3][3] celestial-to-terrestrial matrix (Note 3) +** +** Notes: +** +** 1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates, +** apportioned in any convenient way between the arguments uta and +** utb. For example, JD(UT1)=2450123.7 could be expressed in any of +** these ways, among others: +** +** uta utb +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution is +** acceptable. The J2000 and MJD methods are good compromises +** between resolution and convenience. In the case of uta,utb, the +** date & time method is best matched to the Earth rotation angle +** algorithm used: maximum precision is delivered when the uta +** argument is for 0hrs UT1 on the day in question and the utb +** argument lies in the range 0 to 1, or vice versa. +** +** 2) The arguments xp and yp are the coordinates (in radians) of the +** Celestial Intermediate Pole with respect to the International +** Terrestrial Reference System (see IERS Conventions 2003), +** measured along the meridians to 0 and 90 deg west respectively. +** +** 3) The matrix rc2t transforms from celestial to terrestrial +** coordinates: +** +** [TRS] = RPOM * R_3(ERA) * RC2I * [CRS] +** +** = rc2t * [CRS] +** +** where [CRS] is a vector in the Geocentric Celestial Reference +** System and [TRS] is a vector in the International Terrestrial +** Reference System (see IERS Conventions 2003), RC2I is the +** celestial-to-intermediate matrix, ERA is the Earth rotation +** angle and RPOM is the polar motion matrix. +** +** 4) The present function is faster, but slightly less accurate (about +** 1 mas), than the eraC2t00a function. +** +** Called: +** eraC2i00b celestial-to-intermediate matrix, IAU 2000B +** eraEra00 Earth rotation angle, IAU 2000 +** eraPom00 polar motion matrix +** eraC2tcio form CIO-based celestial-to-terrestrial matrix +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rc2i[3][3], era, rpom[3][3]; + + +/* Form the celestial-to-intermediate matrix for this TT (IAU 2000B). */ + eraC2i00b(tta, ttb, rc2i); + +/* Predict the Earth rotation angle for this UT1. */ + era = eraEra00(uta, utb); + +/* Form the polar motion matrix (neglecting s'). */ + eraPom00(xp, yp, 0.0, rpom); + +/* Combine to form the celestial-to-terrestrial matrix. */ + eraC2tcio(rc2i, era, rpom, rc2t); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2t06a.c b/ast/erfa/c2t06a.c new file mode 100644 index 0000000..ea98d9d --- /dev/null +++ b/ast/erfa/c2t06a.c @@ -0,0 +1,161 @@ +#include "erfa.h" + +void eraC2t06a(double tta, double ttb, double uta, double utb, + double xp, double yp, double rc2t[3][3]) +/* +** - - - - - - - - - - +** e r a C 2 t 0 6 a +** - - - - - - - - - - +** +** Form the celestial to terrestrial matrix given the date, the UT1 and +** the polar motion, using the IAU 2006 precession and IAU 2000A +** nutation models. +** +** Given: +** tta,ttb double TT as a 2-part Julian Date (Note 1) +** uta,utb double UT1 as a 2-part Julian Date (Note 1) +** xp,yp double coordinates of the pole (radians, Note 2) +** +** Returned: +** rc2t double[3][3] celestial-to-terrestrial matrix (Note 3) +** +** Notes: +** +** 1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates, +** apportioned in any convenient way between the arguments uta and +** utb. For example, JD(UT1)=2450123.7 could be expressed in any of +** these ways, among others: +** +** uta utb +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution is +** acceptable. The J2000 and MJD methods are good compromises +** between resolution and convenience. In the case of uta,utb, the +** date & time method is best matched to the Earth rotation angle +** algorithm used: maximum precision is delivered when the uta +** argument is for 0hrs UT1 on the day in question and the utb +** argument lies in the range 0 to 1, or vice versa. +** +** 2) The arguments xp and yp are the coordinates (in radians) of the +** Celestial Intermediate Pole with respect to the International +** Terrestrial Reference System (see IERS Conventions 2003), +** measured along the meridians to 0 and 90 deg west respectively. +** +** 3) The matrix rc2t transforms from celestial to terrestrial +** coordinates: +** +** [TRS] = RPOM * R_3(ERA) * RC2I * [CRS] +** +** = rc2t * [CRS] +** +** where [CRS] is a vector in the Geocentric Celestial Reference +** System and [TRS] is a vector in the International Terrestrial +** Reference System (see IERS Conventions 2003), RC2I is the +** celestial-to-intermediate matrix, ERA is the Earth rotation +** angle and RPOM is the polar motion matrix. +** +** Called: +** eraC2i06a celestial-to-intermediate matrix, IAU 2006/2000A +** eraEra00 Earth rotation angle, IAU 2000 +** eraSp00 the TIO locator s', IERS 2000 +** eraPom00 polar motion matrix +** eraC2tcio form CIO-based celestial-to-terrestrial matrix +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003), +** IERS Technical Note No. 32, BKG +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rc2i[3][3], era, sp, rpom[3][3]; + + +/* Form the celestial-to-intermediate matrix for this TT. */ + eraC2i06a(tta, ttb, rc2i); + +/* Predict the Earth rotation angle for this UT1. */ + era = eraEra00(uta, utb); + +/* Estimate s'. */ + sp = eraSp00(tta, ttb); + +/* Form the polar motion matrix. */ + eraPom00(xp, yp, sp, rpom); + +/* Combine to form the celestial-to-terrestrial matrix. */ + eraC2tcio(rc2i, era, rpom, rc2t); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2tcio.c b/ast/erfa/c2tcio.c new file mode 100644 index 0000000..aa2ba29 --- /dev/null +++ b/ast/erfa/c2tcio.c @@ -0,0 +1,131 @@ +#include "erfa.h" + +void eraC2tcio(double rc2i[3][3], double era, double rpom[3][3], + double rc2t[3][3]) +/* +** - - - - - - - - - - +** e r a C 2 t c i o +** - - - - - - - - - - +** +** Assemble the celestial to terrestrial matrix from CIO-based +** components (the celestial-to-intermediate matrix, the Earth Rotation +** Angle and the polar motion matrix). +** +** Given: +** rc2i double[3][3] celestial-to-intermediate matrix +** era double Earth rotation angle (radians) +** rpom double[3][3] polar-motion matrix +** +** Returned: +** rc2t double[3][3] celestial-to-terrestrial matrix +** +** Notes: +** +** 1) This function constructs the rotation matrix that transforms +** vectors in the celestial system into vectors in the terrestrial +** system. It does so starting from precomputed components, namely +** the matrix which rotates from celestial coordinates to the +** intermediate frame, the Earth rotation angle and the polar motion +** matrix. One use of the present function is when generating a +** series of celestial-to-terrestrial matrices where only the Earth +** Rotation Angle changes, avoiding the considerable overhead of +** recomputing the precession-nutation more often than necessary to +** achieve given accuracy objectives. +** +** 2) The relationship between the arguments is as follows: +** +** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS] +** +** = rc2t * [CRS] +** +** where [CRS] is a vector in the Geocentric Celestial Reference +** System and [TRS] is a vector in the International Terrestrial +** Reference System (see IERS Conventions 2003). +** +** Called: +** eraCr copy r-matrix +** eraRz rotate around Z-axis +** eraRxr product of two r-matrices +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003), +** IERS Technical Note No. 32, BKG +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double r[3][3]; + + +/* Construct the matrix. */ + eraCr(rc2i, r); + eraRz(era, r); + eraRxr(rpom, r, rc2t); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2teqx.c b/ast/erfa/c2teqx.c new file mode 100644 index 0000000..57649ee --- /dev/null +++ b/ast/erfa/c2teqx.c @@ -0,0 +1,131 @@ +#include "erfa.h" + +void eraC2teqx(double rbpn[3][3], double gst, double rpom[3][3], + double rc2t[3][3]) +/* +** - - - - - - - - - - +** e r a C 2 t e q x +** - - - - - - - - - - +** +** Assemble the celestial to terrestrial matrix from equinox-based +** components (the celestial-to-true matrix, the Greenwich Apparent +** Sidereal Time and the polar motion matrix). +** +** Given: +** rbpn double[3][3] celestial-to-true matrix +** gst double Greenwich (apparent) Sidereal Time (radians) +** rpom double[3][3] polar-motion matrix +** +** Returned: +** rc2t double[3][3] celestial-to-terrestrial matrix (Note 2) +** +** Notes: +** +** 1) This function constructs the rotation matrix that transforms +** vectors in the celestial system into vectors in the terrestrial +** system. It does so starting from precomputed components, namely +** the matrix which rotates from celestial coordinates to the +** true equator and equinox of date, the Greenwich Apparent Sidereal +** Time and the polar motion matrix. One use of the present function +** is when generating a series of celestial-to-terrestrial matrices +** where only the Sidereal Time changes, avoiding the considerable +** overhead of recomputing the precession-nutation more often than +** necessary to achieve given accuracy objectives. +** +** 2) The relationship between the arguments is as follows: +** +** [TRS] = rpom * R_3(gst) * rbpn * [CRS] +** +** = rc2t * [CRS] +** +** where [CRS] is a vector in the Geocentric Celestial Reference +** System and [TRS] is a vector in the International Terrestrial +** Reference System (see IERS Conventions 2003). +** +** Called: +** eraCr copy r-matrix +** eraRz rotate around Z-axis +** eraRxr product of two r-matrices +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double r[3][3]; + + +/* Construct the matrix. */ + eraCr(rbpn, r); + eraRz(gst, r); + eraRxr(rpom, r, rc2t); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2tpe.c b/ast/erfa/c2tpe.c new file mode 100644 index 0000000..1894b7b --- /dev/null +++ b/ast/erfa/c2tpe.c @@ -0,0 +1,176 @@ +#include "erfa.h" + +void eraC2tpe(double tta, double ttb, double uta, double utb, + double dpsi, double deps, double xp, double yp, + double rc2t[3][3]) +/* +** - - - - - - - - - +** e r a C 2 t p e +** - - - - - - - - - +** +** Form the celestial to terrestrial matrix given the date, the UT1, +** the nutation and the polar motion. IAU 2000. +** +** Given: +** tta,ttb double TT as a 2-part Julian Date (Note 1) +** uta,utb double UT1 as a 2-part Julian Date (Note 1) +** dpsi,deps double nutation (Note 2) +** xp,yp double coordinates of the pole (radians, Note 3) +** +** Returned: +** rc2t double[3][3] celestial-to-terrestrial matrix (Note 4) +** +** Notes: +** +** 1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates, +** apportioned in any convenient way between the arguments uta and +** utb. For example, JD(UT1)=2450123.7 could be expressed in any of +** these ways, among others: +** +** uta utb +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution is +** acceptable. The J2000 and MJD methods are good compromises +** between resolution and convenience. In the case of uta,utb, the +** date & time method is best matched to the Earth rotation angle +** algorithm used: maximum precision is delivered when the uta +** argument is for 0hrs UT1 on the day in question and the utb +** argument lies in the range 0 to 1, or vice versa. +** +** 2) The caller is responsible for providing the nutation components; +** they are in longitude and obliquity, in radians and are with +** respect to the equinox and ecliptic of date. For high-accuracy +** applications, free core nutation should be included as well as +** any other relevant corrections to the position of the CIP. +** +** 3) The arguments xp and yp are the coordinates (in radians) of the +** Celestial Intermediate Pole with respect to the International +** Terrestrial Reference System (see IERS Conventions 2003), +** measured along the meridians to 0 and 90 deg west respectively. +** +** 4) The matrix rc2t transforms from celestial to terrestrial +** coordinates: +** +** [TRS] = RPOM * R_3(GST) * RBPN * [CRS] +** +** = rc2t * [CRS] +** +** where [CRS] is a vector in the Geocentric Celestial Reference +** System and [TRS] is a vector in the International Terrestrial +** Reference System (see IERS Conventions 2003), RBPN is the +** bias-precession-nutation matrix, GST is the Greenwich (apparent) +** Sidereal Time and RPOM is the polar motion matrix. +** +** 5) Although its name does not include "00", This function is in fact +** specific to the IAU 2000 models. +** +** Called: +** eraPn00 bias/precession/nutation results, IAU 2000 +** eraGmst00 Greenwich mean sidereal time, IAU 2000 +** eraSp00 the TIO locator s', IERS 2000 +** eraEe00 equation of the equinoxes, IAU 2000 +** eraPom00 polar motion matrix +** eraC2teqx form equinox-based celestial-to-terrestrial matrix +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double epsa, rb[3][3], rp[3][3], rbp[3][3], rn[3][3], + rbpn[3][3], gmst, ee, sp, rpom[3][3]; + + +/* Form the celestial-to-true matrix for this TT. */ + eraPn00(tta, ttb, dpsi, deps, &epsa, rb, rp, rbp, rn, rbpn); + +/* Predict the Greenwich Mean Sidereal Time for this UT1 and TT. */ + gmst = eraGmst00(uta, utb, tta, ttb); + +/* Predict the equation of the equinoxes given TT and nutation. */ + ee = eraEe00(tta, ttb, epsa, dpsi); + +/* Estimate s'. */ + sp = eraSp00(tta, ttb); + +/* Form the polar motion matrix. */ + eraPom00(xp, yp, sp, rpom); + +/* Combine to form the celestial-to-terrestrial matrix. */ + eraC2teqx(rbpn, gmst + ee, rpom, rc2t); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/c2txy.c b/ast/erfa/c2txy.c new file mode 100644 index 0000000..bae827e --- /dev/null +++ b/ast/erfa/c2txy.c @@ -0,0 +1,168 @@ +#include "erfa.h" + +void eraC2txy(double tta, double ttb, double uta, double utb, + double x, double y, double xp, double yp, + double rc2t[3][3]) +/* +** - - - - - - - - - +** e r a C 2 t x y +** - - - - - - - - - +** +** Form the celestial to terrestrial matrix given the date, the UT1, +** the CIP coordinates and the polar motion. IAU 2000. +** +** Given: +** tta,ttb double TT as a 2-part Julian Date (Note 1) +** uta,utb double UT1 as a 2-part Julian Date (Note 1) +** x,y double Celestial Intermediate Pole (Note 2) +** xp,yp double coordinates of the pole (radians, Note 3) +** +** Returned: +** rc2t double[3][3] celestial-to-terrestrial matrix (Note 4) +** +** Notes: +** +** 1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates, +** apportioned in any convenient way between the arguments uta and +** utb. For example, JD(UT1)=2450123.7 could be expressed in any o +** these ways, among others: +** +** uta utb +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution is +** acceptable. The J2000 and MJD methods are good compromises +** between resolution and convenience. In the case of uta,utb, the +** date & time method is best matched to the Earth rotation angle +** algorithm used: maximum precision is delivered when the uta +** argument is for 0hrs UT1 on the day in question and the utb +** argument lies in the range 0 to 1, or vice versa. +** +** 2) The Celestial Intermediate Pole coordinates are the x,y +** components of the unit vector in the Geocentric Celestial +** Reference System. +** +** 3) The arguments xp and yp are the coordinates (in radians) of the +** Celestial Intermediate Pole with respect to the International +** Terrestrial Reference System (see IERS Conventions 2003), +** measured along the meridians to 0 and 90 deg west respectively. +** +** 4) The matrix rc2t transforms from celestial to terrestrial +** coordinates: +** +** [TRS] = RPOM * R_3(ERA) * RC2I * [CRS] +** +** = rc2t * [CRS] +** +** where [CRS] is a vector in the Geocentric Celestial Reference +** System and [TRS] is a vector in the International Terrestrial +** Reference System (see IERS Conventions 2003), ERA is the Earth +** Rotation Angle and RPOM is the polar motion matrix. +** +** 5) Although its name does not include "00", This function is in fact +** specific to the IAU 2000 models. +** +** Called: +** eraC2ixy celestial-to-intermediate matrix, given X,Y +** eraEra00 Earth rotation angle, IAU 2000 +** eraSp00 the TIO locator s', IERS 2000 +** eraPom00 polar motion matrix +** eraC2tcio form CIO-based celestial-to-terrestrial matrix +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rc2i[3][3], era, sp, rpom[3][3]; + + +/* Form the celestial-to-intermediate matrix for this TT. */ + eraC2ixy(tta, ttb, x, y, rc2i); + +/* Predict the Earth rotation angle for this UT1. */ + era = eraEra00(uta, utb); + +/* Estimate s'. */ + sp = eraSp00(tta, ttb); + +/* Form the polar motion matrix. */ + eraPom00(xp, yp, sp, rpom); + +/* Combine to form the celestial-to-terrestrial matrix. */ + eraC2tcio(rc2i, era, rpom, rc2t); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/cal2jd.c b/ast/erfa/cal2jd.c new file mode 100644 index 0000000..e0a3439 --- /dev/null +++ b/ast/erfa/cal2jd.c @@ -0,0 +1,148 @@ +#include "erfa.h" + +int eraCal2jd(int iy, int im, int id, double *djm0, double *djm) +/* +** - - - - - - - - - - +** e r a C a l 2 j d +** - - - - - - - - - - +** +** Gregorian Calendar to Julian Date. +** +** Given: +** iy,im,id int year, month, day in Gregorian calendar (Note 1) +** +** Returned: +** djm0 double MJD zero-point: always 2400000.5 +** djm double Modified Julian Date for 0 hrs +** +** Returned (function value): +** int status: +** 0 = OK +** -1 = bad year (Note 3: JD not computed) +** -2 = bad month (JD not computed) +** -3 = bad day (JD computed) +** +** Notes: +** +** 1) The algorithm used is valid from -4800 March 1, but this +** implementation rejects dates before -4799 January 1. +** +** 2) The Julian Date is returned in two pieces, in the usual ERFA +** manner, which is designed to preserve time resolution. The +** Julian Date is available as a single number by adding djm0 and +** djm. +** +** 3) In early eras the conversion is from the "Proleptic Gregorian +** Calendar"; no account is taken of the date(s) of adoption of +** the Gregorian Calendar, nor is the AD/BC numbering convention +** observed. +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992), +** Section 12.92 (p604). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int j, ly, my; + long iypmy; + +/* Earliest year allowed (4800BC) */ + const int IYMIN = -4799; + +/* Month lengths in days */ + static const int mtab[] + = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; + + +/* Preset status. */ + j = 0; + +/* Validate year and month. */ + if (iy < IYMIN) return -1; + if (im < 1 || im > 12) return -2; + +/* If February in a leap year, 1, otherwise 0. */ + ly = ((im == 2) && !(iy%4) && (iy%100 || !(iy%400))); + +/* Validate day, taking into account leap years. */ + if ( (id < 1) || (id > (mtab[im-1] + ly))) j = -3; + +/* Return result. */ + my = (im - 14) / 12; + iypmy = (long) (iy + my); + *djm0 = ERFA_DJM0; + *djm = (double)((1461L * (iypmy + 4800L)) / 4L + + (367L * (long) (im - 2 - 12 * my)) / 12L + - (3L * ((iypmy + 4900L) / 100L)) / 4L + + (long) id - 2432076L); + +/* Return status. */ + return j; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/cp.c b/ast/erfa/cp.c new file mode 100644 index 0000000..3b9614a --- /dev/null +++ b/ast/erfa/cp.c @@ -0,0 +1,89 @@ +#include "erfa.h" + +void eraCp(double p[3], double c[3]) +/* +** - - - - - - +** e r a C p +** - - - - - - +** +** Copy a p-vector. +** +** Given: +** p double[3] p-vector to be copied +** +** Returned: +** c double[3] copy +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + c[0] = p[0]; + c[1] = p[1]; + c[2] = p[2]; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/cpv.c b/ast/erfa/cpv.c new file mode 100644 index 0000000..8423102 --- /dev/null +++ b/ast/erfa/cpv.c @@ -0,0 +1,91 @@ +#include "erfa.h" + +void eraCpv(double pv[2][3], double c[2][3]) +/* +** - - - - - - - +** e r a C p v +** - - - - - - - +** +** Copy a position/velocity vector. +** +** Given: +** pv double[2][3] position/velocity vector to be copied +** +** Returned: +** c double[2][3] copy +** +** Called: +** eraCp copy p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraCp(pv[0], c[0]); + eraCp(pv[1], c[1]); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/cr.c b/ast/erfa/cr.c new file mode 100644 index 0000000..651bdb5 --- /dev/null +++ b/ast/erfa/cr.c @@ -0,0 +1,92 @@ +#include "erfa.h" + +void eraCr(double r[3][3], double c[3][3]) +/* +** - - - - - - +** e r a C r +** - - - - - - +** +** Copy an r-matrix. +** +** Given: +** r double[3][3] r-matrix to be copied +** +** Returned: +** char[] double[3][3] copy +** +** Called: +** eraCp copy p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraCp(r[0], c[0]); + eraCp(r[1], c[1]); + eraCp(r[2], c[2]); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/d2dtf.c b/ast/erfa/d2dtf.c new file mode 100644 index 0000000..d9b8f90 --- /dev/null +++ b/ast/erfa/d2dtf.c @@ -0,0 +1,245 @@ +#include "erfa.h" +#include <string.h> + +int eraD2dtf(const char *scale, int ndp, double d1, double d2, + int *iy, int *im, int *id, int ihmsf[4]) +/* +** - - - - - - - - - +** e r a D 2 d t f +** - - - - - - - - - +** +** Format for output a 2-part Julian Date (or in the case of UTC a +** quasi-JD form that includes special provision for leap seconds). +** +** Given: +** scale char[] time scale ID (Note 1) +** ndp int resolution (Note 2) +** d1,d2 double time as a 2-part Julian Date (Notes 3,4) +** +** Returned: +** iy,im,id int year, month, day in Gregorian calendar (Note 5) +** ihmsf int[4] hours, minutes, seconds, fraction (Note 1) +** +** Returned (function value): +** int status: +1 = dubious year (Note 5) +** 0 = OK +** -1 = unacceptable date (Note 6) +** +** Notes: +** +** 1) scale identifies the time scale. Only the value "UTC" (in upper +** case) is significant, and enables handling of leap seconds (see +** Note 4). +** +** 2) ndp is the number of decimal places in the seconds field, and can +** have negative as well as positive values, such as: +** +** ndp resolution +** -4 1 00 00 +** -3 0 10 00 +** -2 0 01 00 +** -1 0 00 10 +** 0 0 00 01 +** 1 0 00 00.1 +** 2 0 00 00.01 +** 3 0 00 00.001 +** +** The limits are platform dependent, but a safe range is -5 to +9. +** +** 3) d1+d2 is Julian Date, apportioned in any convenient way between +** the two arguments, for example where d1 is the Julian Day Number +** and d2 is the fraction of a day. In the case of UTC, where the +** use of JD is problematical, special conventions apply: see the +** next note. +** +** 4) JD cannot unambiguously represent UTC during a leap second unless +** special measures are taken. The ERFA internal convention is that +** the quasi-JD day represents UTC days whether the length is 86399, +** 86400 or 86401 SI seconds. In the 1960-1972 era there were +** smaller jumps (in either direction) each time the linear UTC(TAI) +** expression was changed, and these "mini-leaps" are also included +** in the ERFA convention. +** +** 5) The warning status "dubious year" flags UTCs that predate the +** introduction of the time scale or that are too far in the future +** to be trusted. See eraDat for further details. +** +** 6) For calendar conventions and limitations, see eraCal2jd. +** +** Called: +** eraJd2cal JD to Gregorian calendar +** eraD2tf decompose days to hms +** eraDat delta(AT) = TAI-UTC +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int leap; + char s; + int iy1, im1, id1, js, iy2, im2, id2, ihmsf1[4], i; + double a1, b1, fd, dat0, dat12, w, dat24, dleap; + + +/* The two-part JD. */ + a1 = d1; + b1 = d2; + +/* Provisional calendar date. */ + js = eraJd2cal(a1, b1, &iy1, &im1, &id1, &fd); + if ( js ) return -1; + +/* Is this a leap second day? */ + leap = 0; + if ( ! strcmp(scale,"UTC") ) { + + /* TAI-UTC at 0h today. */ + js = eraDat(iy1, im1, id1, 0.0, &dat0); + if ( js < 0 ) return -1; + + /* TAI-UTC at 12h today (to detect drift). */ + js = eraDat(iy1, im1, id1, 0.5, &dat12); + if ( js < 0 ) return -1; + + /* TAI-UTC at 0h tomorrow (to detect jumps). */ + js = eraJd2cal(a1+1.5, b1-fd, &iy2, &im2, &id2, &w); + if ( js ) return -1; + js = eraDat(iy2, im2, id2, 0.0, &dat24); + if ( js < 0 ) return -1; + + /* Any sudden change in TAI-UTC (seconds). */ + dleap = dat24 - (2.0*dat12 - dat0); + + /* If leap second day, scale the fraction of a day into SI. */ + leap = (dleap != 0.0); + if (leap) fd += fd * dleap/ERFA_DAYSEC; + } + +/* Provisional time of day. */ + eraD2tf ( ndp, fd, &s, ihmsf1 ); + +/* Has the (rounded) time gone past 24h? */ + if ( ihmsf1[0] > 23 ) { + + /* Yes. We probably need tomorrow's calendar date. */ + js = eraJd2cal(a1+1.5, b1-fd, &iy2, &im2, &id2, &w); + if ( js ) return -1; + + /* Is today a leap second day? */ + if ( ! leap ) { + + /* No. Use 0h tomorrow. */ + iy1 = iy2; + im1 = im2; + id1 = id2; + ihmsf1[0] = 0; + ihmsf1[1] = 0; + ihmsf1[2] = 0; + + } else { + + /* Yes. Are we past the leap second itself? */ + if ( ihmsf1[2] > 0 ) { + + /* Yes. Use tomorrow but allow for the leap second. */ + iy1 = iy2; + im1 = im2; + id1 = id2; + ihmsf1[0] = 0; + ihmsf1[1] = 0; + ihmsf1[2] = 0; + + } else { + + /* No. Use 23 59 60... today. */ + ihmsf1[0] = 23; + ihmsf1[1] = 59; + ihmsf1[2] = 60; + } + + /* If rounding to 10s or coarser always go up to new day. */ + if ( ndp < 0 && ihmsf1[2] == 60 ) { + iy1 = iy2; + im1 = im2; + id1 = id2; + ihmsf1[0] = 0; + ihmsf1[1] = 0; + ihmsf1[2] = 0; + } + } + } + +/* Results. */ + *iy = iy1; + *im = im1; + *id = id1; + for ( i = 0; i < 4; i++ ) { + ihmsf[i] = ihmsf1[i]; + } + +/* Status. */ + return js; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/d2tf.c b/ast/erfa/d2tf.c new file mode 100644 index 0000000..132dfe9 --- /dev/null +++ b/ast/erfa/d2tf.c @@ -0,0 +1,169 @@ +#include "erfa.h" + +void eraD2tf(int ndp, double days, char *sign, int ihmsf[4]) +/* +** - - - - - - - - +** e r a D 2 t f +** - - - - - - - - +** +** Decompose days to hours, minutes, seconds, fraction. +** +** Given: +** ndp int resolution (Note 1) +** days double interval in days +** +** Returned: +** sign char '+' or '-' +** ihmsf int[4] hours, minutes, seconds, fraction +** +** Notes: +** +** 1) The argument ndp is interpreted as follows: +** +** ndp resolution +** : ...0000 00 00 +** -7 1000 00 00 +** -6 100 00 00 +** -5 10 00 00 +** -4 1 00 00 +** -3 0 10 00 +** -2 0 01 00 +** -1 0 00 10 +** 0 0 00 01 +** 1 0 00 00.1 +** 2 0 00 00.01 +** 3 0 00 00.001 +** : 0 00 00.000... +** +** 2) The largest positive useful value for ndp is determined by the +** size of days, the format of double on the target platform, and +** the risk of overflowing ihmsf[3]. On a typical platform, for +** days up to 1.0, the available floating-point precision might +** correspond to ndp=12. However, the practical limit is typically +** ndp=9, set by the capacity of a 32-bit int, or ndp=4 if int is +** only 16 bits. +** +** 3) The absolute value of days may exceed 1.0. In cases where it +** does not, it is up to the caller to test for and handle the +** case where days is very nearly 1.0 and rounds up to 24 hours, +** by testing for ihmsf[0]=24 and setting ihmsf[0-3] to zero. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int nrs, n; + double rs, rm, rh, a, w, ah, am, as, af; + + +/* Handle sign. */ + *sign = (char) ( ( days >= 0.0 ) ? '+' : '-' ); + +/* Interval in seconds. */ + a = ERFA_DAYSEC * fabs(days); + +/* Pre-round if resolution coarser than 1s (then pretend ndp=1). */ + if (ndp < 0) { + nrs = 1; + for (n = 1; n <= -ndp; n++) { + nrs *= (n == 2 || n == 4) ? 6 : 10; + } + rs = (double) nrs; + w = a / rs; + a = rs * ERFA_DNINT(w); + } + +/* Express the unit of each field in resolution units. */ + nrs = 1; + for (n = 1; n <= ndp; n++) { + nrs *= 10; + } + rs = (double) nrs; + rm = rs * 60.0; + rh = rm * 60.0; + +/* Round the interval and express in resolution units. */ + a = ERFA_DNINT(rs * a); + +/* Break into fields. */ + ah = a / rh; + ah = ERFA_DINT(ah); + a -= ah * rh; + am = a / rm; + am = ERFA_DINT(am); + a -= am * rm; + as = a / rs; + as = ERFA_DINT(as); + af = a - as * rs; + +/* Return results. */ + ihmsf[0] = (int) ah; + ihmsf[1] = (int) am; + ihmsf[2] = (int) as; + ihmsf[3] = (int) af; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/dat.c b/ast/erfa/dat.c new file mode 100644 index 0000000..e97cc7b --- /dev/null +++ b/ast/erfa/dat.c @@ -0,0 +1,298 @@ +#include "erfa.h" + +int eraDat(int iy, int im, int id, double fd, double *deltat ) +/* +** - - - - - - - +** e r a D a t +** - - - - - - - +** +** For a given UTC date, calculate delta(AT) = TAI-UTC. +** +** :------------------------------------------: +** : : +** : IMPORTANT : +** : : +** : A new version of this function must be : +** : produced whenever a new leap second is : +** : announced. There are four items to : +** : change on each such occasion: : +** : : +** : 1) A new line must be added to the set : +** : of statements that initialize the : +** : array "changes". : +** : : +** : 2) The constant IYV must be set to the : +** : current year. : +** : : +** : 3) The "Latest leap second" comment : +** : below must be set to the new leap : +** : second date. : +** : : +** : 4) The "This revision" comment, later, : +** : must be set to the current date. : +** : : +** : Change (2) must also be carried out : +** : whenever the function is re-issued, : +** : even if no leap seconds have been : +** : added. : +** : : +** : Latest leap second: 2012 June 30 : +** : : +** :__________________________________________: +** +** Given: +** iy int UTC: year (Notes 1 and 2) +** im int month (Note 2) +** id int day (Notes 2 and 3) +** fd double fraction of day (Note 4) +** +** Returned: +** deltat double TAI minus UTC, seconds +** +** Returned (function value): +** int status (Note 5): +** 1 = dubious year (Note 1) +** 0 = OK +** -1 = bad year +** -2 = bad month +** -3 = bad day (Note 3) +** -4 = bad fraction (Note 4) +** +** Notes: +** +** 1) UTC began at 1960 January 1.0 (JD 2436934.5) and it is improper +** to call the function with an earlier date. If this is attempted, +** zero is returned together with a warning status. +** +** Because leap seconds cannot, in principle, be predicted in +** advance, a reliable check for dates beyond the valid range is +** impossible. To guard against gross errors, a year five or more +** after the release year of the present function (see the constant +** IYV) is considered dubious. In this case a warning status is +** returned but the result is computed in the normal way. +** +** For both too-early and too-late years, the warning status is +1. +** This is distinct from the error status -1, which signifies a year +** so early that JD could not be computed. +** +** 2) If the specified date is for a day which ends with a leap second, +** the UTC-TAI value returned is for the period leading up to the +** leap second. If the date is for a day which begins as a leap +** second ends, the UTC-TAI returned is for the period following the +** leap second. +** +** 3) The day number must be in the normal calendar range, for example +** 1 through 30 for April. The "almanac" convention of allowing +** such dates as January 0 and December 32 is not supported in this +** function, in order to avoid confusion near leap seconds. +** +** 4) The fraction of day is used only for dates before the +** introduction of leap seconds, the first of which occurred at the +** end of 1971. It is tested for validity (0 to 1 is the valid +** range) even if not used; if invalid, zero is used and status -4 +** is returned. For many applications, setting fd to zero is +** acceptable; the resulting error is always less than 3 ms (and +** occurs only pre-1972). +** +** 5) The status value returned in the case where there are multiple +** errors refers to the first error detected. For example, if the +** month and day are 13 and 32 respectively, status -2 (bad month) +** will be returned. +** +** 6) In cases where a valid result is not available, zero is returned. +** +** References: +** +** 1) For dates from 1961 January 1 onwards, the expressions from the +** file ftp://maia.usno.navy.mil/ser7/tai-utc.dat are used. +** +** 2) The 5ms timestep at 1961 January 1 is taken from 2.58.1 (p87) of +** the 1992 Explanatory Supplement. +** +** Called: +** eraCal2jd Gregorian calendar to JD +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Release year for this version of eraDat */ + enum { IYV = 2013}; + +/* Reference dates (MJD) and drift rates (s/day), pre leap seconds */ + static const double drift[][2] = { + { 37300.0, 0.0012960 }, + { 37300.0, 0.0012960 }, + { 37300.0, 0.0012960 }, + { 37665.0, 0.0011232 }, + { 37665.0, 0.0011232 }, + { 38761.0, 0.0012960 }, + { 38761.0, 0.0012960 }, + { 38761.0, 0.0012960 }, + { 38761.0, 0.0012960 }, + { 38761.0, 0.0012960 }, + { 38761.0, 0.0012960 }, + { 38761.0, 0.0012960 }, + { 39126.0, 0.0025920 }, + { 39126.0, 0.0025920 } + }; + +/* Number of Delta(AT) expressions before leap seconds were introduced */ + enum { NERA1 = (int) (sizeof drift / sizeof (double) / 2) }; + +/* Dates and Delta(AT)s */ + static const struct { + int iyear, month; + double delat; + } changes[] = { + { 1960, 1, 1.4178180 }, + { 1961, 1, 1.4228180 }, + { 1961, 8, 1.3728180 }, + { 1962, 1, 1.8458580 }, + { 1963, 11, 1.9458580 }, + { 1964, 1, 3.2401300 }, + { 1964, 4, 3.3401300 }, + { 1964, 9, 3.4401300 }, + { 1965, 1, 3.5401300 }, + { 1965, 3, 3.6401300 }, + { 1965, 7, 3.7401300 }, + { 1965, 9, 3.8401300 }, + { 1966, 1, 4.3131700 }, + { 1968, 2, 4.2131700 }, + { 1972, 1, 10.0 }, + { 1972, 7, 11.0 }, + { 1973, 1, 12.0 }, + { 1974, 1, 13.0 }, + { 1975, 1, 14.0 }, + { 1976, 1, 15.0 }, + { 1977, 1, 16.0 }, + { 1978, 1, 17.0 }, + { 1979, 1, 18.0 }, + { 1980, 1, 19.0 }, + { 1981, 7, 20.0 }, + { 1982, 7, 21.0 }, + { 1983, 7, 22.0 }, + { 1985, 7, 23.0 }, + { 1988, 1, 24.0 }, + { 1990, 1, 25.0 }, + { 1991, 1, 26.0 }, + { 1992, 7, 27.0 }, + { 1993, 7, 28.0 }, + { 1994, 7, 29.0 }, + { 1996, 1, 30.0 }, + { 1997, 7, 31.0 }, + { 1999, 1, 32.0 }, + { 2006, 1, 33.0 }, + { 2009, 1, 34.0 }, + { 2012, 7, 35.0 } + }; + +/* Number of Delta(AT) changes */ + const int NDAT = sizeof changes / sizeof changes[0]; + +/* Miscellaneous local variables */ + int j, i, m; + double da, djm0, djm; + + +/* Initialize the result to zero. */ + *deltat = da = 0.0; + +/* If invalid fraction of a day, set error status and give up. */ + if (fd < 0.0 || fd > 1.0) return -4; + +/* Convert the date into an MJD. */ + j = eraCal2jd(iy, im, id, &djm0, &djm); + +/* If invalid year, month, or day, give up. */ + if (j < 0) return j; + +/* If pre-UTC year, set warning status and give up. */ + if (iy < changes[0].iyear) return 1; + +/* If suspiciously late year, set warning status but proceed. */ + if (iy > IYV + 5) j = 1; + +/* Combine year and month to form a date-ordered integer... */ + m = 12*iy + im; + +/* ...and use it to find the preceding table entry. */ + for (i = NDAT-1; i >=0; i--) { + if (m >= (12 * changes[i].iyear + changes[i].month)) break; + } + +/* Get the Delta(AT). */ + da = changes[i].delat; + +/* If pre-1972, adjust for drift. */ + if (i < NERA1) da += (djm + fd - drift[i][0]) * drift[i][1]; + +/* Return the Delta(AT) value. */ + *deltat = da; + +/* Return the status. */ + return j; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/dtdb.c b/ast/erfa/dtdb.c new file mode 100644 index 0000000..9f387e9 --- /dev/null +++ b/ast/erfa/dtdb.c @@ -0,0 +1,1222 @@ +#include "erfa.h" + +double eraDtdb(double date1, double date2, + double ut, double elong, double u, double v) +/* +** - - - - - - - - +** e r a D t d b +** - - - - - - - - +** +** An approximation to TDB-TT, the difference between barycentric +** dynamical time and terrestrial time, for an observer on the Earth. +** +** The different time scales - proper, coordinate and realized - are +** related to each other: +** +** TAI <- physically realized +** : +** offset <- observed (nominally +32.184s) +** : +** TT <- terrestrial time +** : +** rate adjustment (L_G) <- definition of TT +** : +** TCG <- time scale for GCRS +** : +** "periodic" terms <- eraDtdb is an implementation +** : +** rate adjustment (L_C) <- function of solar-system ephemeris +** : +** TCB <- time scale for BCRS +** : +** rate adjustment (-L_B) <- definition of TDB +** : +** TDB <- TCB scaled to track TT +** : +** "periodic" terms <- -eraDtdb is an approximation +** : +** TT <- terrestrial time +** +** Adopted values for the various constants can be found in the IERS +** Conventions (McCarthy & Petit 2003). +** +** Given: +** date1,date2 double date, TDB (Notes 1-3) +** ut double universal time (UT1, fraction of one day) +** elong double longitude (east positive, radians) +** u double distance from Earth spin axis (km) +** v double distance north of equatorial plane (km) +** +** Returned (function value): +** double TDB-TT (seconds) +** +** Notes: +** +** 1) The date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** Although the date is, formally, barycentric dynamical time (TDB), +** the terrestrial dynamical time (TT) can be used with no practical +** effect on the accuracy of the prediction. +** +** 2) TT can be regarded as a coordinate time that is realized as an +** offset of 32.184s from International Atomic Time, TAI. TT is a +** specific linear transformation of geocentric coordinate time TCG, +** which is the time scale for the Geocentric Celestial Reference +** System, GCRS. +** +** 3) TDB is a coordinate time, and is a specific linear transformation +** of barycentric coordinate time TCB, which is the time scale for +** the Barycentric Celestial Reference System, BCRS. +** +** 4) The difference TCG-TCB depends on the masses and positions of the +** bodies of the solar system and the velocity of the Earth. It is +** dominated by a rate difference, the residual being of a periodic +** character. The latter, which is modeled by the present function, +** comprises a main (annual) sinusoidal term of amplitude +** approximately 0.00166 seconds, plus planetary terms up to about +** 20 microseconds, and lunar and diurnal terms up to 2 microseconds. +** These effects come from the changing transverse Doppler effect +** and gravitational red-shift as the observer (on the Earth's +** surface) experiences variations in speed (with respect to the +** BCRS) and gravitational potential. +** +** 5) TDB can be regarded as the same as TCB but with a rate adjustment +** to keep it close to TT, which is convenient for many applications. +** The history of successive attempts to define TDB is set out in +** Resolution 3 adopted by the IAU General Assembly in 2006, which +** defines a fixed TDB(TCB) transformation that is consistent with +** contemporary solar-system ephemerides. Future ephemerides will +** imply slightly changed transformations between TCG and TCB, which +** could introduce a linear drift between TDB and TT; however, any +** such drift is unlikely to exceed 1 nanosecond per century. +** +** 6) The geocentric TDB-TT model used in the present function is that of +** Fairhead & Bretagnon (1990), in its full form. It was originally +** supplied by Fairhead (private communications with P.T.Wallace, +** 1990) as a Fortran subroutine. The present C function contains an +** adaptation of the Fairhead code. The numerical results are +** essentially unaffected by the changes, the differences with +** respect to the Fairhead & Bretagnon original being at the 1e-20 s +** level. +** +** The topocentric part of the model is from Moyer (1981) and +** Murray (1983), with fundamental arguments adapted from +** Simon et al. 1994. It is an approximation to the expression +** ( v / c ) . ( r / c ), where v is the barycentric velocity of +** the Earth, r is the geocentric position of the observer and +** c is the speed of light. +** +** By supplying zeroes for u and v, the topocentric part of the +** model can be nullified, and the function will return the Fairhead +** & Bretagnon result alone. +** +** 7) During the interval 1950-2050, the absolute accuracy is better +** than +/- 3 nanoseconds relative to time ephemerides obtained by +** direct numerical integrations based on the JPL DE405 solar system +** ephemeris. +** +** 8) It must be stressed that the present function is merely a model, +** and that numerical integration of solar-system ephemerides is the +** definitive method for predicting the relationship between TCG and +** TCB and hence between TT and TDB. +** +** References: +** +** Fairhead, L., & Bretagnon, P., Astron.Astrophys., 229, 240-247 +** (1990). +** +** IAU 2006 Resolution 3. +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Moyer, T.D., Cel.Mech., 23, 33 (1981). +** +** Murray, C.A., Vectorial Astrometry, Adam Hilger (1983). +** +** Seidelmann, P.K. et al., Explanatory Supplement to the +** Astronomical Almanac, Chapter 2, University Science Books (1992). +** +** Simon, J.L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G. & Laskar, J., Astron.Astrophys., 282, 663-683 (1994). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t, tsol, w, elsun, emsun, d, elj, els, wt, w0, w1, w2, w3, w4, + wf, wj; + int j; + +/* +** ===================== +** Fairhead et al. model +** ===================== +** +** 787 sets of three coefficients. +** +** Each set is +** amplitude (microseconds) +** frequency (radians per Julian millennium since J2000.0) +** phase (radians) +** +** Sets 1-474 are the T**0 terms +** " 475-679 " " T**1 +** " 680-764 " " T**2 +** " 765-784 " " T**3 +** " 785-787 " " T**4 +*/ + + static const double fairhd[787][3] = { + /* 1, 10 */ + { 1656.674564e-6, 6283.075849991, 6.240054195 }, + { 22.417471e-6, 5753.384884897, 4.296977442 }, + { 13.839792e-6, 12566.151699983, 6.196904410 }, + { 4.770086e-6, 529.690965095, 0.444401603 }, + { 4.676740e-6, 6069.776754553, 4.021195093 }, + { 2.256707e-6, 213.299095438, 5.543113262 }, + { 1.694205e-6, -3.523118349, 5.025132748 }, + { 1.554905e-6, 77713.771467920, 5.198467090 }, + { 1.276839e-6, 7860.419392439, 5.988822341 }, + { 1.193379e-6, 5223.693919802, 3.649823730 }, + /* 11, 20 */ + { 1.115322e-6, 3930.209696220, 1.422745069 }, + { 0.794185e-6, 11506.769769794, 2.322313077 }, + { 0.447061e-6, 26.298319800, 3.615796498 }, + { 0.435206e-6, -398.149003408, 4.349338347 }, + { 0.600309e-6, 1577.343542448, 2.678271909 }, + { 0.496817e-6, 6208.294251424, 5.696701824 }, + { 0.486306e-6, 5884.926846583, 0.520007179 }, + { 0.432392e-6, 74.781598567, 2.435898309 }, + { 0.468597e-6, 6244.942814354, 5.866398759 }, + { 0.375510e-6, 5507.553238667, 4.103476804 }, + /* 21, 30 */ + { 0.243085e-6, -775.522611324, 3.651837925 }, + { 0.173435e-6, 18849.227549974, 6.153743485 }, + { 0.230685e-6, 5856.477659115, 4.773852582 }, + { 0.203747e-6, 12036.460734888, 4.333987818 }, + { 0.143935e-6, -796.298006816, 5.957517795 }, + { 0.159080e-6, 10977.078804699, 1.890075226 }, + { 0.119979e-6, 38.133035638, 4.551585768 }, + { 0.118971e-6, 5486.777843175, 1.914547226 }, + { 0.116120e-6, 1059.381930189, 0.873504123 }, + { 0.137927e-6, 11790.629088659, 1.135934669 }, + /* 31, 40 */ + { 0.098358e-6, 2544.314419883, 0.092793886 }, + { 0.101868e-6, -5573.142801634, 5.984503847 }, + { 0.080164e-6, 206.185548437, 2.095377709 }, + { 0.079645e-6, 4694.002954708, 2.949233637 }, + { 0.062617e-6, 20.775395492, 2.654394814 }, + { 0.075019e-6, 2942.463423292, 4.980931759 }, + { 0.064397e-6, 5746.271337896, 1.280308748 }, + { 0.063814e-6, 5760.498431898, 4.167901731 }, + { 0.048042e-6, 2146.165416475, 1.495846011 }, + { 0.048373e-6, 155.420399434, 2.251573730 }, + /* 41, 50 */ + { 0.058844e-6, 426.598190876, 4.839650148 }, + { 0.046551e-6, -0.980321068, 0.921573539 }, + { 0.054139e-6, 17260.154654690, 3.411091093 }, + { 0.042411e-6, 6275.962302991, 2.869567043 }, + { 0.040184e-6, -7.113547001, 3.565975565 }, + { 0.036564e-6, 5088.628839767, 3.324679049 }, + { 0.040759e-6, 12352.852604545, 3.981496998 }, + { 0.036507e-6, 801.820931124, 6.248866009 }, + { 0.036955e-6, 3154.687084896, 5.071801441 }, + { 0.042732e-6, 632.783739313, 5.720622217 }, + /* 51, 60 */ + { 0.042560e-6, 161000.685737473, 1.270837679 }, + { 0.040480e-6, 15720.838784878, 2.546610123 }, + { 0.028244e-6, -6286.598968340, 5.069663519 }, + { 0.033477e-6, 6062.663207553, 4.144987272 }, + { 0.034867e-6, 522.577418094, 5.210064075 }, + { 0.032438e-6, 6076.890301554, 0.749317412 }, + { 0.030215e-6, 7084.896781115, 3.389610345 }, + { 0.029247e-6, -71430.695617928, 4.183178762 }, + { 0.033529e-6, 9437.762934887, 2.404714239 }, + { 0.032423e-6, 8827.390269875, 5.541473556 }, + /* 61, 70 */ + { 0.027567e-6, 6279.552731642, 5.040846034 }, + { 0.029862e-6, 12139.553509107, 1.770181024 }, + { 0.022509e-6, 10447.387839604, 1.460726241 }, + { 0.020937e-6, 8429.241266467, 0.652303414 }, + { 0.020322e-6, 419.484643875, 3.735430632 }, + { 0.024816e-6, -1194.447010225, 1.087136918 }, + { 0.025196e-6, 1748.016413067, 2.901883301 }, + { 0.021691e-6, 14143.495242431, 5.952658009 }, + { 0.017673e-6, 6812.766815086, 3.186129845 }, + { 0.022567e-6, 6133.512652857, 3.307984806 }, + /* 71, 80 */ + { 0.016155e-6, 10213.285546211, 1.331103168 }, + { 0.014751e-6, 1349.867409659, 4.308933301 }, + { 0.015949e-6, -220.412642439, 4.005298270 }, + { 0.015974e-6, -2352.866153772, 6.145309371 }, + { 0.014223e-6, 17789.845619785, 2.104551349 }, + { 0.017806e-6, 73.297125859, 3.475975097 }, + { 0.013671e-6, -536.804512095, 5.971672571 }, + { 0.011942e-6, 8031.092263058, 2.053414715 }, + { 0.014318e-6, 16730.463689596, 3.016058075 }, + { 0.012462e-6, 103.092774219, 1.737438797 }, + /* 81, 90 */ + { 0.010962e-6, 3.590428652, 2.196567739 }, + { 0.015078e-6, 19651.048481098, 3.969480770 }, + { 0.010396e-6, 951.718406251, 5.717799605 }, + { 0.011707e-6, -4705.732307544, 2.654125618 }, + { 0.010453e-6, 5863.591206116, 1.913704550 }, + { 0.012420e-6, 4690.479836359, 4.734090399 }, + { 0.011847e-6, 5643.178563677, 5.489005403 }, + { 0.008610e-6, 3340.612426700, 3.661698944 }, + { 0.011622e-6, 5120.601145584, 4.863931876 }, + { 0.010825e-6, 553.569402842, 0.842715011 }, + /* 91, 100 */ + { 0.008666e-6, -135.065080035, 3.293406547 }, + { 0.009963e-6, 149.563197135, 4.870690598 }, + { 0.009858e-6, 6309.374169791, 1.061816410 }, + { 0.007959e-6, 316.391869657, 2.465042647 }, + { 0.010099e-6, 283.859318865, 1.942176992 }, + { 0.007147e-6, -242.728603974, 3.661486981 }, + { 0.007505e-6, 5230.807466803, 4.920937029 }, + { 0.008323e-6, 11769.853693166, 1.229392026 }, + { 0.007490e-6, -6256.777530192, 3.658444681 }, + { 0.009370e-6, 149854.400134205, 0.673880395 }, + /* 101, 110 */ + { 0.007117e-6, 38.027672636, 5.294249518 }, + { 0.007857e-6, 12168.002696575, 0.525733528 }, + { 0.007019e-6, 6206.809778716, 0.837688810 }, + { 0.006056e-6, 955.599741609, 4.194535082 }, + { 0.008107e-6, 13367.972631107, 3.793235253 }, + { 0.006731e-6, 5650.292110678, 5.639906583 }, + { 0.007332e-6, 36.648562930, 0.114858677 }, + { 0.006366e-6, 4164.311989613, 2.262081818 }, + { 0.006858e-6, 5216.580372801, 0.642063318 }, + { 0.006919e-6, 6681.224853400, 6.018501522 }, + /* 111, 120 */ + { 0.006826e-6, 7632.943259650, 3.458654112 }, + { 0.005308e-6, -1592.596013633, 2.500382359 }, + { 0.005096e-6, 11371.704689758, 2.547107806 }, + { 0.004841e-6, 5333.900241022, 0.437078094 }, + { 0.005582e-6, 5966.683980335, 2.246174308 }, + { 0.006304e-6, 11926.254413669, 2.512929171 }, + { 0.006603e-6, 23581.258177318, 5.393136889 }, + { 0.005123e-6, -1.484472708, 2.999641028 }, + { 0.004648e-6, 1589.072895284, 1.275847090 }, + { 0.005119e-6, 6438.496249426, 1.486539246 }, + /* 121, 130 */ + { 0.004521e-6, 4292.330832950, 6.140635794 }, + { 0.005680e-6, 23013.539539587, 4.557814849 }, + { 0.005488e-6, -3.455808046, 0.090675389 }, + { 0.004193e-6, 7234.794256242, 4.869091389 }, + { 0.003742e-6, 7238.675591600, 4.691976180 }, + { 0.004148e-6, -110.206321219, 3.016173439 }, + { 0.004553e-6, 11499.656222793, 5.554998314 }, + { 0.004892e-6, 5436.993015240, 1.475415597 }, + { 0.004044e-6, 4732.030627343, 1.398784824 }, + { 0.004164e-6, 12491.370101415, 5.650931916 }, + /* 131, 140 */ + { 0.004349e-6, 11513.883316794, 2.181745369 }, + { 0.003919e-6, 12528.018664345, 5.823319737 }, + { 0.003129e-6, 6836.645252834, 0.003844094 }, + { 0.004080e-6, -7058.598461315, 3.690360123 }, + { 0.003270e-6, 76.266071276, 1.517189902 }, + { 0.002954e-6, 6283.143160294, 4.447203799 }, + { 0.002872e-6, 28.449187468, 1.158692983 }, + { 0.002881e-6, 735.876513532, 0.349250250 }, + { 0.003279e-6, 5849.364112115, 4.893384368 }, + { 0.003625e-6, 6209.778724132, 1.473760578 }, + /* 141, 150 */ + { 0.003074e-6, 949.175608970, 5.185878737 }, + { 0.002775e-6, 9917.696874510, 1.030026325 }, + { 0.002646e-6, 10973.555686350, 3.918259169 }, + { 0.002575e-6, 25132.303399966, 6.109659023 }, + { 0.003500e-6, 263.083923373, 1.892100742 }, + { 0.002740e-6, 18319.536584880, 4.320519510 }, + { 0.002464e-6, 202.253395174, 4.698203059 }, + { 0.002409e-6, 2.542797281, 5.325009315 }, + { 0.003354e-6, -90955.551694697, 1.942656623 }, + { 0.002296e-6, 6496.374945429, 5.061810696 }, + /* 151, 160 */ + { 0.003002e-6, 6172.869528772, 2.797822767 }, + { 0.003202e-6, 27511.467873537, 0.531673101 }, + { 0.002954e-6, -6283.008539689, 4.533471191 }, + { 0.002353e-6, 639.897286314, 3.734548088 }, + { 0.002401e-6, 16200.772724501, 2.605547070 }, + { 0.003053e-6, 233141.314403759, 3.029030662 }, + { 0.003024e-6, 83286.914269554, 2.355556099 }, + { 0.002863e-6, 17298.182327326, 5.240963796 }, + { 0.002103e-6, -7079.373856808, 5.756641637 }, + { 0.002303e-6, 83996.847317911, 2.013686814 }, + /* 161, 170 */ + { 0.002303e-6, 18073.704938650, 1.089100410 }, + { 0.002381e-6, 63.735898303, 0.759188178 }, + { 0.002493e-6, 6386.168624210, 0.645026535 }, + { 0.002366e-6, 3.932153263, 6.215885448 }, + { 0.002169e-6, 11015.106477335, 4.845297676 }, + { 0.002397e-6, 6243.458341645, 3.809290043 }, + { 0.002183e-6, 1162.474704408, 6.179611691 }, + { 0.002353e-6, 6246.427287062, 4.781719760 }, + { 0.002199e-6, -245.831646229, 5.956152284 }, + { 0.001729e-6, 3894.181829542, 1.264976635 }, + /* 171, 180 */ + { 0.001896e-6, -3128.388765096, 4.914231596 }, + { 0.002085e-6, 35.164090221, 1.405158503 }, + { 0.002024e-6, 14712.317116458, 2.752035928 }, + { 0.001737e-6, 6290.189396992, 5.280820144 }, + { 0.002229e-6, 491.557929457, 1.571007057 }, + { 0.001602e-6, 14314.168113050, 4.203664806 }, + { 0.002186e-6, 454.909366527, 1.402101526 }, + { 0.001897e-6, 22483.848574493, 4.167932508 }, + { 0.001825e-6, -3738.761430108, 0.545828785 }, + { 0.001894e-6, 1052.268383188, 5.817167450 }, + /* 181, 190 */ + { 0.001421e-6, 20.355319399, 2.419886601 }, + { 0.001408e-6, 10984.192351700, 2.732084787 }, + { 0.001847e-6, 10873.986030480, 2.903477885 }, + { 0.001391e-6, -8635.942003763, 0.593891500 }, + { 0.001388e-6, -7.046236698, 1.166145902 }, + { 0.001810e-6, -88860.057071188, 0.487355242 }, + { 0.001288e-6, -1990.745017041, 3.913022880 }, + { 0.001297e-6, 23543.230504682, 3.063805171 }, + { 0.001335e-6, -266.607041722, 3.995764039 }, + { 0.001376e-6, 10969.965257698, 5.152914309 }, + /* 191, 200 */ + { 0.001745e-6, 244287.600007027, 3.626395673 }, + { 0.001649e-6, 31441.677569757, 1.952049260 }, + { 0.001416e-6, 9225.539273283, 4.996408389 }, + { 0.001238e-6, 4804.209275927, 5.503379738 }, + { 0.001472e-6, 4590.910180489, 4.164913291 }, + { 0.001169e-6, 6040.347246017, 5.841719038 }, + { 0.001039e-6, 5540.085789459, 2.769753519 }, + { 0.001004e-6, -170.672870619, 0.755008103 }, + { 0.001284e-6, 10575.406682942, 5.306538209 }, + { 0.001278e-6, 71.812653151, 4.713486491 }, + /* 201, 210 */ + { 0.001321e-6, 18209.330263660, 2.624866359 }, + { 0.001297e-6, 21228.392023546, 0.382603541 }, + { 0.000954e-6, 6282.095528923, 0.882213514 }, + { 0.001145e-6, 6058.731054289, 1.169483931 }, + { 0.000979e-6, 5547.199336460, 5.448375984 }, + { 0.000987e-6, -6262.300454499, 2.656486959 }, + { 0.001070e-6, -154717.609887482, 1.827624012 }, + { 0.000991e-6, 4701.116501708, 4.387001801 }, + { 0.001155e-6, -14.227094002, 3.042700750 }, + { 0.001176e-6, 277.034993741, 3.335519004 }, + /* 211, 220 */ + { 0.000890e-6, 13916.019109642, 5.601498297 }, + { 0.000884e-6, -1551.045222648, 1.088831705 }, + { 0.000876e-6, 5017.508371365, 3.969902609 }, + { 0.000806e-6, 15110.466119866, 5.142876744 }, + { 0.000773e-6, -4136.910433516, 0.022067765 }, + { 0.001077e-6, 175.166059800, 1.844913056 }, + { 0.000954e-6, -6284.056171060, 0.968480906 }, + { 0.000737e-6, 5326.786694021, 4.923831588 }, + { 0.000845e-6, -433.711737877, 4.749245231 }, + { 0.000819e-6, 8662.240323563, 5.991247817 }, + /* 221, 230 */ + { 0.000852e-6, 199.072001436, 2.189604979 }, + { 0.000723e-6, 17256.631536341, 6.068719637 }, + { 0.000940e-6, 6037.244203762, 6.197428148 }, + { 0.000885e-6, 11712.955318231, 3.280414875 }, + { 0.000706e-6, 12559.038152982, 2.824848947 }, + { 0.000732e-6, 2379.164473572, 2.501813417 }, + { 0.000764e-6, -6127.655450557, 2.236346329 }, + { 0.000908e-6, 131.541961686, 2.521257490 }, + { 0.000907e-6, 35371.887265976, 3.370195967 }, + { 0.000673e-6, 1066.495477190, 3.876512374 }, + /* 231, 240 */ + { 0.000814e-6, 17654.780539750, 4.627122566 }, + { 0.000630e-6, 36.027866677, 0.156368499 }, + { 0.000798e-6, 515.463871093, 5.151962502 }, + { 0.000798e-6, 148.078724426, 5.909225055 }, + { 0.000806e-6, 309.278322656, 6.054064447 }, + { 0.000607e-6, -39.617508346, 2.839021623 }, + { 0.000601e-6, 412.371096874, 3.984225404 }, + { 0.000646e-6, 11403.676995575, 3.852959484 }, + { 0.000704e-6, 13521.751441591, 2.300991267 }, + { 0.000603e-6, -65147.619767937, 4.140083146 }, + /* 241, 250 */ + { 0.000609e-6, 10177.257679534, 0.437122327 }, + { 0.000631e-6, 5767.611978898, 4.026532329 }, + { 0.000576e-6, 11087.285125918, 4.760293101 }, + { 0.000674e-6, 14945.316173554, 6.270510511 }, + { 0.000726e-6, 5429.879468239, 6.039606892 }, + { 0.000710e-6, 28766.924424484, 5.672617711 }, + { 0.000647e-6, 11856.218651625, 3.397132627 }, + { 0.000678e-6, -5481.254918868, 6.249666675 }, + { 0.000618e-6, 22003.914634870, 2.466427018 }, + { 0.000738e-6, 6134.997125565, 2.242668890 }, + /* 251, 260 */ + { 0.000660e-6, 625.670192312, 5.864091907 }, + { 0.000694e-6, 3496.032826134, 2.668309141 }, + { 0.000531e-6, 6489.261398429, 1.681888780 }, + { 0.000611e-6, -143571.324284214, 2.424978312 }, + { 0.000575e-6, 12043.574281889, 4.216492400 }, + { 0.000553e-6, 12416.588502848, 4.772158039 }, + { 0.000689e-6, 4686.889407707, 6.224271088 }, + { 0.000495e-6, 7342.457780181, 3.817285811 }, + { 0.000567e-6, 3634.621024518, 1.649264690 }, + { 0.000515e-6, 18635.928454536, 3.945345892 }, + /* 261, 270 */ + { 0.000486e-6, -323.505416657, 4.061673868 }, + { 0.000662e-6, 25158.601719765, 1.794058369 }, + { 0.000509e-6, 846.082834751, 3.053874588 }, + { 0.000472e-6, -12569.674818332, 5.112133338 }, + { 0.000461e-6, 6179.983075773, 0.513669325 }, + { 0.000641e-6, 83467.156352816, 3.210727723 }, + { 0.000520e-6, 10344.295065386, 2.445597761 }, + { 0.000493e-6, 18422.629359098, 1.676939306 }, + { 0.000478e-6, 1265.567478626, 5.487314569 }, + { 0.000472e-6, -18.159247265, 1.999707589 }, + /* 271, 280 */ + { 0.000559e-6, 11190.377900137, 5.783236356 }, + { 0.000494e-6, 9623.688276691, 3.022645053 }, + { 0.000463e-6, 5739.157790895, 1.411223013 }, + { 0.000432e-6, 16858.482532933, 1.179256434 }, + { 0.000574e-6, 72140.628666286, 1.758191830 }, + { 0.000484e-6, 17267.268201691, 3.290589143 }, + { 0.000550e-6, 4907.302050146, 0.864024298 }, + { 0.000399e-6, 14.977853527, 2.094441910 }, + { 0.000491e-6, 224.344795702, 0.878372791 }, + { 0.000432e-6, 20426.571092422, 6.003829241 }, + /* 281, 290 */ + { 0.000481e-6, 5749.452731634, 4.309591964 }, + { 0.000480e-6, 5757.317038160, 1.142348571 }, + { 0.000485e-6, 6702.560493867, 0.210580917 }, + { 0.000426e-6, 6055.549660552, 4.274476529 }, + { 0.000480e-6, 5959.570433334, 5.031351030 }, + { 0.000466e-6, 12562.628581634, 4.959581597 }, + { 0.000520e-6, 39302.096962196, 4.788002889 }, + { 0.000458e-6, 12132.439962106, 1.880103788 }, + { 0.000470e-6, 12029.347187887, 1.405611197 }, + { 0.000416e-6, -7477.522860216, 1.082356330 }, + /* 291, 300 */ + { 0.000449e-6, 11609.862544012, 4.179989585 }, + { 0.000465e-6, 17253.041107690, 0.353496295 }, + { 0.000362e-6, -4535.059436924, 1.583849576 }, + { 0.000383e-6, 21954.157609398, 3.747376371 }, + { 0.000389e-6, 17.252277143, 1.395753179 }, + { 0.000331e-6, 18052.929543158, 0.566790582 }, + { 0.000430e-6, 13517.870106233, 0.685827538 }, + { 0.000368e-6, -5756.908003246, 0.731374317 }, + { 0.000330e-6, 10557.594160824, 3.710043680 }, + { 0.000332e-6, 20199.094959633, 1.652901407 }, + /* 301, 310 */ + { 0.000384e-6, 11933.367960670, 5.827781531 }, + { 0.000387e-6, 10454.501386605, 2.541182564 }, + { 0.000325e-6, 15671.081759407, 2.178850542 }, + { 0.000318e-6, 138.517496871, 2.253253037 }, + { 0.000305e-6, 9388.005909415, 0.578340206 }, + { 0.000352e-6, 5749.861766548, 3.000297967 }, + { 0.000311e-6, 6915.859589305, 1.693574249 }, + { 0.000297e-6, 24072.921469776, 1.997249392 }, + { 0.000363e-6, -640.877607382, 5.071820966 }, + { 0.000323e-6, 12592.450019783, 1.072262823 }, + /* 311, 320 */ + { 0.000341e-6, 12146.667056108, 4.700657997 }, + { 0.000290e-6, 9779.108676125, 1.812320441 }, + { 0.000342e-6, 6132.028180148, 4.322238614 }, + { 0.000329e-6, 6268.848755990, 3.033827743 }, + { 0.000374e-6, 17996.031168222, 3.388716544 }, + { 0.000285e-6, -533.214083444, 4.687313233 }, + { 0.000338e-6, 6065.844601290, 0.877776108 }, + { 0.000276e-6, 24.298513841, 0.770299429 }, + { 0.000336e-6, -2388.894020449, 5.353796034 }, + { 0.000290e-6, 3097.883822726, 4.075291557 }, + /* 321, 330 */ + { 0.000318e-6, 709.933048357, 5.941207518 }, + { 0.000271e-6, 13095.842665077, 3.208912203 }, + { 0.000331e-6, 6073.708907816, 4.007881169 }, + { 0.000292e-6, 742.990060533, 2.714333592 }, + { 0.000362e-6, 29088.811415985, 3.215977013 }, + { 0.000280e-6, 12359.966151546, 0.710872502 }, + { 0.000267e-6, 10440.274292604, 4.730108488 }, + { 0.000262e-6, 838.969287750, 1.327720272 }, + { 0.000250e-6, 16496.361396202, 0.898769761 }, + { 0.000325e-6, 20597.243963041, 0.180044365 }, + /* 331, 340 */ + { 0.000268e-6, 6148.010769956, 5.152666276 }, + { 0.000284e-6, 5636.065016677, 5.655385808 }, + { 0.000301e-6, 6080.822454817, 2.135396205 }, + { 0.000294e-6, -377.373607916, 3.708784168 }, + { 0.000236e-6, 2118.763860378, 1.733578756 }, + { 0.000234e-6, 5867.523359379, 5.575209112 }, + { 0.000268e-6, -226858.238553767, 0.069432392 }, + { 0.000265e-6, 167283.761587465, 4.369302826 }, + { 0.000280e-6, 28237.233459389, 5.304829118 }, + { 0.000292e-6, 12345.739057544, 4.096094132 }, + /* 341, 350 */ + { 0.000223e-6, 19800.945956225, 3.069327406 }, + { 0.000301e-6, 43232.306658416, 6.205311188 }, + { 0.000264e-6, 18875.525869774, 1.417263408 }, + { 0.000304e-6, -1823.175188677, 3.409035232 }, + { 0.000301e-6, 109.945688789, 0.510922054 }, + { 0.000260e-6, 813.550283960, 2.389438934 }, + { 0.000299e-6, 316428.228673312, 5.384595078 }, + { 0.000211e-6, 5756.566278634, 3.789392838 }, + { 0.000209e-6, 5750.203491159, 1.661943545 }, + { 0.000240e-6, 12489.885628707, 5.684549045 }, + /* 351, 360 */ + { 0.000216e-6, 6303.851245484, 3.862942261 }, + { 0.000203e-6, 1581.959348283, 5.549853589 }, + { 0.000200e-6, 5642.198242609, 1.016115785 }, + { 0.000197e-6, -70.849445304, 4.690702525 }, + { 0.000227e-6, 6287.008003254, 2.911891613 }, + { 0.000197e-6, 533.623118358, 1.048982898 }, + { 0.000205e-6, -6279.485421340, 1.829362730 }, + { 0.000209e-6, -10988.808157535, 2.636140084 }, + { 0.000208e-6, -227.526189440, 4.127883842 }, + { 0.000191e-6, 415.552490612, 4.401165650 }, + /* 361, 370 */ + { 0.000190e-6, 29296.615389579, 4.175658539 }, + { 0.000264e-6, 66567.485864652, 4.601102551 }, + { 0.000256e-6, -3646.350377354, 0.506364778 }, + { 0.000188e-6, 13119.721102825, 2.032195842 }, + { 0.000185e-6, -209.366942175, 4.694756586 }, + { 0.000198e-6, 25934.124331089, 3.832703118 }, + { 0.000195e-6, 4061.219215394, 3.308463427 }, + { 0.000234e-6, 5113.487598583, 1.716090661 }, + { 0.000188e-6, 1478.866574064, 5.686865780 }, + { 0.000222e-6, 11823.161639450, 1.942386641 }, + /* 371, 380 */ + { 0.000181e-6, 10770.893256262, 1.999482059 }, + { 0.000171e-6, 6546.159773364, 1.182807992 }, + { 0.000206e-6, 70.328180442, 5.934076062 }, + { 0.000169e-6, 20995.392966449, 2.169080622 }, + { 0.000191e-6, 10660.686935042, 5.405515999 }, + { 0.000228e-6, 33019.021112205, 4.656985514 }, + { 0.000184e-6, -4933.208440333, 3.327476868 }, + { 0.000220e-6, -135.625325010, 1.765430262 }, + { 0.000166e-6, 23141.558382925, 3.454132746 }, + { 0.000191e-6, 6144.558353121, 5.020393445 }, + /* 381, 390 */ + { 0.000180e-6, 6084.003848555, 0.602182191 }, + { 0.000163e-6, 17782.732072784, 4.960593133 }, + { 0.000225e-6, 16460.333529525, 2.596451817 }, + { 0.000222e-6, 5905.702242076, 3.731990323 }, + { 0.000204e-6, 227.476132789, 5.636192701 }, + { 0.000159e-6, 16737.577236597, 3.600691544 }, + { 0.000200e-6, 6805.653268085, 0.868220961 }, + { 0.000187e-6, 11919.140866668, 2.629456641 }, + { 0.000161e-6, 127.471796607, 2.862574720 }, + { 0.000205e-6, 6286.666278643, 1.742882331 }, + /* 391, 400 */ + { 0.000189e-6, 153.778810485, 4.812372643 }, + { 0.000168e-6, 16723.350142595, 0.027860588 }, + { 0.000149e-6, 11720.068865232, 0.659721876 }, + { 0.000189e-6, 5237.921013804, 5.245313000 }, + { 0.000143e-6, 6709.674040867, 4.317625647 }, + { 0.000146e-6, 4487.817406270, 4.815297007 }, + { 0.000144e-6, -664.756045130, 5.381366880 }, + { 0.000175e-6, 5127.714692584, 4.728443327 }, + { 0.000162e-6, 6254.626662524, 1.435132069 }, + { 0.000187e-6, 47162.516354635, 1.354371923 }, + /* 401, 410 */ + { 0.000146e-6, 11080.171578918, 3.369695406 }, + { 0.000180e-6, -348.924420448, 2.490902145 }, + { 0.000148e-6, 151.047669843, 3.799109588 }, + { 0.000157e-6, 6197.248551160, 1.284375887 }, + { 0.000167e-6, 146.594251718, 0.759969109 }, + { 0.000133e-6, -5331.357443741, 5.409701889 }, + { 0.000154e-6, 95.979227218, 3.366890614 }, + { 0.000148e-6, -6418.140930027, 3.384104996 }, + { 0.000128e-6, -6525.804453965, 3.803419985 }, + { 0.000130e-6, 11293.470674356, 0.939039445 }, + /* 411, 420 */ + { 0.000152e-6, -5729.506447149, 0.734117523 }, + { 0.000138e-6, 210.117701700, 2.564216078 }, + { 0.000123e-6, 6066.595360816, 4.517099537 }, + { 0.000140e-6, 18451.078546566, 0.642049130 }, + { 0.000126e-6, 11300.584221356, 3.485280663 }, + { 0.000119e-6, 10027.903195729, 3.217431161 }, + { 0.000151e-6, 4274.518310832, 4.404359108 }, + { 0.000117e-6, 6072.958148291, 0.366324650 }, + { 0.000165e-6, -7668.637425143, 4.298212528 }, + { 0.000117e-6, -6245.048177356, 5.379518958 }, + /* 421, 430 */ + { 0.000130e-6, -5888.449964932, 4.527681115 }, + { 0.000121e-6, -543.918059096, 6.109429504 }, + { 0.000162e-6, 9683.594581116, 5.720092446 }, + { 0.000141e-6, 6219.339951688, 0.679068671 }, + { 0.000118e-6, 22743.409379516, 4.881123092 }, + { 0.000129e-6, 1692.165669502, 0.351407289 }, + { 0.000126e-6, 5657.405657679, 5.146592349 }, + { 0.000114e-6, 728.762966531, 0.520791814 }, + { 0.000120e-6, 52.596639600, 0.948516300 }, + { 0.000115e-6, 65.220371012, 3.504914846 }, + /* 431, 440 */ + { 0.000126e-6, 5881.403728234, 5.577502482 }, + { 0.000158e-6, 163096.180360983, 2.957128968 }, + { 0.000134e-6, 12341.806904281, 2.598576764 }, + { 0.000151e-6, 16627.370915377, 3.985702050 }, + { 0.000109e-6, 1368.660252845, 0.014730471 }, + { 0.000131e-6, 6211.263196841, 0.085077024 }, + { 0.000146e-6, 5792.741760812, 0.708426604 }, + { 0.000146e-6, -77.750543984, 3.121576600 }, + { 0.000107e-6, 5341.013788022, 0.288231904 }, + { 0.000138e-6, 6281.591377283, 2.797450317 }, + /* 441, 450 */ + { 0.000113e-6, -6277.552925684, 2.788904128 }, + { 0.000115e-6, -525.758811831, 5.895222200 }, + { 0.000138e-6, 6016.468808270, 6.096188999 }, + { 0.000139e-6, 23539.707386333, 2.028195445 }, + { 0.000146e-6, -4176.041342449, 4.660008502 }, + { 0.000107e-6, 16062.184526117, 4.066520001 }, + { 0.000142e-6, 83783.548222473, 2.936315115 }, + { 0.000128e-6, 9380.959672717, 3.223844306 }, + { 0.000135e-6, 6205.325306007, 1.638054048 }, + { 0.000101e-6, 2699.734819318, 5.481603249 }, + /* 451, 460 */ + { 0.000104e-6, -568.821874027, 2.205734493 }, + { 0.000103e-6, 6321.103522627, 2.440421099 }, + { 0.000119e-6, 6321.208885629, 2.547496264 }, + { 0.000138e-6, 1975.492545856, 2.314608466 }, + { 0.000121e-6, 137.033024162, 4.539108237 }, + { 0.000123e-6, 19402.796952817, 4.538074405 }, + { 0.000119e-6, 22805.735565994, 2.869040566 }, + { 0.000133e-6, 64471.991241142, 6.056405489 }, + { 0.000129e-6, -85.827298831, 2.540635083 }, + { 0.000131e-6, 13613.804277336, 4.005732868 }, + /* 461, 470 */ + { 0.000104e-6, 9814.604100291, 1.959967212 }, + { 0.000112e-6, 16097.679950283, 3.589026260 }, + { 0.000123e-6, 2107.034507542, 1.728627253 }, + { 0.000121e-6, 36949.230808424, 6.072332087 }, + { 0.000108e-6, -12539.853380183, 3.716133846 }, + { 0.000113e-6, -7875.671863624, 2.725771122 }, + { 0.000109e-6, 4171.425536614, 4.033338079 }, + { 0.000101e-6, 6247.911759770, 3.441347021 }, + { 0.000113e-6, 7330.728427345, 0.656372122 }, + { 0.000113e-6, 51092.726050855, 2.791483066 }, + /* 471, 480 */ + { 0.000106e-6, 5621.842923210, 1.815323326 }, + { 0.000101e-6, 111.430161497, 5.711033677 }, + { 0.000103e-6, 909.818733055, 2.812745443 }, + { 0.000101e-6, 1790.642637886, 1.965746028 }, + + /* T */ + { 102.156724e-6, 6283.075849991, 4.249032005 }, + { 1.706807e-6, 12566.151699983, 4.205904248 }, + { 0.269668e-6, 213.299095438, 3.400290479 }, + { 0.265919e-6, 529.690965095, 5.836047367 }, + { 0.210568e-6, -3.523118349, 6.262738348 }, + { 0.077996e-6, 5223.693919802, 4.670344204 }, + /* 481, 490 */ + { 0.054764e-6, 1577.343542448, 4.534800170 }, + { 0.059146e-6, 26.298319800, 1.083044735 }, + { 0.034420e-6, -398.149003408, 5.980077351 }, + { 0.032088e-6, 18849.227549974, 4.162913471 }, + { 0.033595e-6, 5507.553238667, 5.980162321 }, + { 0.029198e-6, 5856.477659115, 0.623811863 }, + { 0.027764e-6, 155.420399434, 3.745318113 }, + { 0.025190e-6, 5746.271337896, 2.980330535 }, + { 0.022997e-6, -796.298006816, 1.174411803 }, + { 0.024976e-6, 5760.498431898, 2.467913690 }, + /* 491, 500 */ + { 0.021774e-6, 206.185548437, 3.854787540 }, + { 0.017925e-6, -775.522611324, 1.092065955 }, + { 0.013794e-6, 426.598190876, 2.699831988 }, + { 0.013276e-6, 6062.663207553, 5.845801920 }, + { 0.011774e-6, 12036.460734888, 2.292832062 }, + { 0.012869e-6, 6076.890301554, 5.333425680 }, + { 0.012152e-6, 1059.381930189, 6.222874454 }, + { 0.011081e-6, -7.113547001, 5.154724984 }, + { 0.010143e-6, 4694.002954708, 4.044013795 }, + { 0.009357e-6, 5486.777843175, 3.416081409 }, + /* 501, 510 */ + { 0.010084e-6, 522.577418094, 0.749320262 }, + { 0.008587e-6, 10977.078804699, 2.777152598 }, + { 0.008628e-6, 6275.962302991, 4.562060226 }, + { 0.008158e-6, -220.412642439, 5.806891533 }, + { 0.007746e-6, 2544.314419883, 1.603197066 }, + { 0.007670e-6, 2146.165416475, 3.000200440 }, + { 0.007098e-6, 74.781598567, 0.443725817 }, + { 0.006180e-6, -536.804512095, 1.302642751 }, + { 0.005818e-6, 5088.628839767, 4.827723531 }, + { 0.004945e-6, -6286.598968340, 0.268305170 }, + /* 511, 520 */ + { 0.004774e-6, 1349.867409659, 5.808636673 }, + { 0.004687e-6, -242.728603974, 5.154890570 }, + { 0.006089e-6, 1748.016413067, 4.403765209 }, + { 0.005975e-6, -1194.447010225, 2.583472591 }, + { 0.004229e-6, 951.718406251, 0.931172179 }, + { 0.005264e-6, 553.569402842, 2.336107252 }, + { 0.003049e-6, 5643.178563677, 1.362634430 }, + { 0.002974e-6, 6812.766815086, 1.583012668 }, + { 0.003403e-6, -2352.866153772, 2.552189886 }, + { 0.003030e-6, 419.484643875, 5.286473844 }, + /* 521, 530 */ + { 0.003210e-6, -7.046236698, 1.863796539 }, + { 0.003058e-6, 9437.762934887, 4.226420633 }, + { 0.002589e-6, 12352.852604545, 1.991935820 }, + { 0.002927e-6, 5216.580372801, 2.319951253 }, + { 0.002425e-6, 5230.807466803, 3.084752833 }, + { 0.002656e-6, 3154.687084896, 2.487447866 }, + { 0.002445e-6, 10447.387839604, 2.347139160 }, + { 0.002990e-6, 4690.479836359, 6.235872050 }, + { 0.002890e-6, 5863.591206116, 0.095197563 }, + { 0.002498e-6, 6438.496249426, 2.994779800 }, + /* 531, 540 */ + { 0.001889e-6, 8031.092263058, 3.569003717 }, + { 0.002567e-6, 801.820931124, 3.425611498 }, + { 0.001803e-6, -71430.695617928, 2.192295512 }, + { 0.001782e-6, 3.932153263, 5.180433689 }, + { 0.001694e-6, -4705.732307544, 4.641779174 }, + { 0.001704e-6, -1592.596013633, 3.997097652 }, + { 0.001735e-6, 5849.364112115, 0.417558428 }, + { 0.001643e-6, 8429.241266467, 2.180619584 }, + { 0.001680e-6, 38.133035638, 4.164529426 }, + { 0.002045e-6, 7084.896781115, 0.526323854 }, + /* 541, 550 */ + { 0.001458e-6, 4292.330832950, 1.356098141 }, + { 0.001437e-6, 20.355319399, 3.895439360 }, + { 0.001738e-6, 6279.552731642, 0.087484036 }, + { 0.001367e-6, 14143.495242431, 3.987576591 }, + { 0.001344e-6, 7234.794256242, 0.090454338 }, + { 0.001438e-6, 11499.656222793, 0.974387904 }, + { 0.001257e-6, 6836.645252834, 1.509069366 }, + { 0.001358e-6, 11513.883316794, 0.495572260 }, + { 0.001628e-6, 7632.943259650, 4.968445721 }, + { 0.001169e-6, 103.092774219, 2.838496795 }, + /* 551, 560 */ + { 0.001162e-6, 4164.311989613, 3.408387778 }, + { 0.001092e-6, 6069.776754553, 3.617942651 }, + { 0.001008e-6, 17789.845619785, 0.286350174 }, + { 0.001008e-6, 639.897286314, 1.610762073 }, + { 0.000918e-6, 10213.285546211, 5.532798067 }, + { 0.001011e-6, -6256.777530192, 0.661826484 }, + { 0.000753e-6, 16730.463689596, 3.905030235 }, + { 0.000737e-6, 11926.254413669, 4.641956361 }, + { 0.000694e-6, 3340.612426700, 2.111120332 }, + { 0.000701e-6, 3894.181829542, 2.760823491 }, + /* 561, 570 */ + { 0.000689e-6, -135.065080035, 4.768800780 }, + { 0.000700e-6, 13367.972631107, 5.760439898 }, + { 0.000664e-6, 6040.347246017, 1.051215840 }, + { 0.000654e-6, 5650.292110678, 4.911332503 }, + { 0.000788e-6, 6681.224853400, 4.699648011 }, + { 0.000628e-6, 5333.900241022, 5.024608847 }, + { 0.000755e-6, -110.206321219, 4.370971253 }, + { 0.000628e-6, 6290.189396992, 3.660478857 }, + { 0.000635e-6, 25132.303399966, 4.121051532 }, + { 0.000534e-6, 5966.683980335, 1.173284524 }, + /* 571, 580 */ + { 0.000543e-6, -433.711737877, 0.345585464 }, + { 0.000517e-6, -1990.745017041, 5.414571768 }, + { 0.000504e-6, 5767.611978898, 2.328281115 }, + { 0.000485e-6, 5753.384884897, 1.685874771 }, + { 0.000463e-6, 7860.419392439, 5.297703006 }, + { 0.000604e-6, 515.463871093, 0.591998446 }, + { 0.000443e-6, 12168.002696575, 4.830881244 }, + { 0.000570e-6, 199.072001436, 3.899190272 }, + { 0.000465e-6, 10969.965257698, 0.476681802 }, + { 0.000424e-6, -7079.373856808, 1.112242763 }, + /* 581, 590 */ + { 0.000427e-6, 735.876513532, 1.994214480 }, + { 0.000478e-6, -6127.655450557, 3.778025483 }, + { 0.000414e-6, 10973.555686350, 5.441088327 }, + { 0.000512e-6, 1589.072895284, 0.107123853 }, + { 0.000378e-6, 10984.192351700, 0.915087231 }, + { 0.000402e-6, 11371.704689758, 4.107281715 }, + { 0.000453e-6, 9917.696874510, 1.917490952 }, + { 0.000395e-6, 149.563197135, 2.763124165 }, + { 0.000371e-6, 5739.157790895, 3.112111866 }, + { 0.000350e-6, 11790.629088659, 0.440639857 }, + /* 591, 600 */ + { 0.000356e-6, 6133.512652857, 5.444568842 }, + { 0.000344e-6, 412.371096874, 5.676832684 }, + { 0.000383e-6, 955.599741609, 5.559734846 }, + { 0.000333e-6, 6496.374945429, 0.261537984 }, + { 0.000340e-6, 6055.549660552, 5.975534987 }, + { 0.000334e-6, 1066.495477190, 2.335063907 }, + { 0.000399e-6, 11506.769769794, 5.321230910 }, + { 0.000314e-6, 18319.536584880, 2.313312404 }, + { 0.000424e-6, 1052.268383188, 1.211961766 }, + { 0.000307e-6, 63.735898303, 3.169551388 }, + /* 601, 610 */ + { 0.000329e-6, 29.821438149, 6.106912080 }, + { 0.000357e-6, 6309.374169791, 4.223760346 }, + { 0.000312e-6, -3738.761430108, 2.180556645 }, + { 0.000301e-6, 309.278322656, 1.499984572 }, + { 0.000268e-6, 12043.574281889, 2.447520648 }, + { 0.000257e-6, 12491.370101415, 3.662331761 }, + { 0.000290e-6, 625.670192312, 1.272834584 }, + { 0.000256e-6, 5429.879468239, 1.913426912 }, + { 0.000339e-6, 3496.032826134, 4.165930011 }, + { 0.000283e-6, 3930.209696220, 4.325565754 }, + /* 611, 620 */ + { 0.000241e-6, 12528.018664345, 3.832324536 }, + { 0.000304e-6, 4686.889407707, 1.612348468 }, + { 0.000259e-6, 16200.772724501, 3.470173146 }, + { 0.000238e-6, 12139.553509107, 1.147977842 }, + { 0.000236e-6, 6172.869528772, 3.776271728 }, + { 0.000296e-6, -7058.598461315, 0.460368852 }, + { 0.000306e-6, 10575.406682942, 0.554749016 }, + { 0.000251e-6, 17298.182327326, 0.834332510 }, + { 0.000290e-6, 4732.030627343, 4.759564091 }, + { 0.000261e-6, 5884.926846583, 0.298259862 }, + /* 621, 630 */ + { 0.000249e-6, 5547.199336460, 3.749366406 }, + { 0.000213e-6, 11712.955318231, 5.415666119 }, + { 0.000223e-6, 4701.116501708, 2.703203558 }, + { 0.000268e-6, -640.877607382, 0.283670793 }, + { 0.000209e-6, 5636.065016677, 1.238477199 }, + { 0.000193e-6, 10177.257679534, 1.943251340 }, + { 0.000182e-6, 6283.143160294, 2.456157599 }, + { 0.000184e-6, -227.526189440, 5.888038582 }, + { 0.000182e-6, -6283.008539689, 0.241332086 }, + { 0.000228e-6, -6284.056171060, 2.657323816 }, + /* 631, 640 */ + { 0.000166e-6, 7238.675591600, 5.930629110 }, + { 0.000167e-6, 3097.883822726, 5.570955333 }, + { 0.000159e-6, -323.505416657, 5.786670700 }, + { 0.000154e-6, -4136.910433516, 1.517805532 }, + { 0.000176e-6, 12029.347187887, 3.139266834 }, + { 0.000167e-6, 12132.439962106, 3.556352289 }, + { 0.000153e-6, 202.253395174, 1.463313961 }, + { 0.000157e-6, 17267.268201691, 1.586837396 }, + { 0.000142e-6, 83996.847317911, 0.022670115 }, + { 0.000152e-6, 17260.154654690, 0.708528947 }, + /* 641, 650 */ + { 0.000144e-6, 6084.003848555, 5.187075177 }, + { 0.000135e-6, 5756.566278634, 1.993229262 }, + { 0.000134e-6, 5750.203491159, 3.457197134 }, + { 0.000144e-6, 5326.786694021, 6.066193291 }, + { 0.000160e-6, 11015.106477335, 1.710431974 }, + { 0.000133e-6, 3634.621024518, 2.836451652 }, + { 0.000134e-6, 18073.704938650, 5.453106665 }, + { 0.000134e-6, 1162.474704408, 5.326898811 }, + { 0.000128e-6, 5642.198242609, 2.511652591 }, + { 0.000160e-6, 632.783739313, 5.628785365 }, + /* 651, 660 */ + { 0.000132e-6, 13916.019109642, 0.819294053 }, + { 0.000122e-6, 14314.168113050, 5.677408071 }, + { 0.000125e-6, 12359.966151546, 5.251984735 }, + { 0.000121e-6, 5749.452731634, 2.210924603 }, + { 0.000136e-6, -245.831646229, 1.646502367 }, + { 0.000120e-6, 5757.317038160, 3.240883049 }, + { 0.000134e-6, 12146.667056108, 3.059480037 }, + { 0.000137e-6, 6206.809778716, 1.867105418 }, + { 0.000141e-6, 17253.041107690, 2.069217456 }, + { 0.000129e-6, -7477.522860216, 2.781469314 }, + /* 661, 670 */ + { 0.000116e-6, 5540.085789459, 4.281176991 }, + { 0.000116e-6, 9779.108676125, 3.320925381 }, + { 0.000129e-6, 5237.921013804, 3.497704076 }, + { 0.000113e-6, 5959.570433334, 0.983210840 }, + { 0.000122e-6, 6282.095528923, 2.674938860 }, + { 0.000140e-6, -11.045700264, 4.957936982 }, + { 0.000108e-6, 23543.230504682, 1.390113589 }, + { 0.000106e-6, -12569.674818332, 0.429631317 }, + { 0.000110e-6, -266.607041722, 5.501340197 }, + { 0.000115e-6, 12559.038152982, 4.691456618 }, + /* 671, 680 */ + { 0.000134e-6, -2388.894020449, 0.577313584 }, + { 0.000109e-6, 10440.274292604, 6.218148717 }, + { 0.000102e-6, -543.918059096, 1.477842615 }, + { 0.000108e-6, 21228.392023546, 2.237753948 }, + { 0.000101e-6, -4535.059436924, 3.100492232 }, + { 0.000103e-6, 76.266071276, 5.594294322 }, + { 0.000104e-6, 949.175608970, 5.674287810 }, + { 0.000101e-6, 13517.870106233, 2.196632348 }, + { 0.000100e-6, 11933.367960670, 4.056084160 }, + + /* T^2 */ + { 4.322990e-6, 6283.075849991, 2.642893748 }, + /* 681, 690 */ + { 0.406495e-6, 0.000000000, 4.712388980 }, + { 0.122605e-6, 12566.151699983, 2.438140634 }, + { 0.019476e-6, 213.299095438, 1.642186981 }, + { 0.016916e-6, 529.690965095, 4.510959344 }, + { 0.013374e-6, -3.523118349, 1.502210314 }, + { 0.008042e-6, 26.298319800, 0.478549024 }, + { 0.007824e-6, 155.420399434, 5.254710405 }, + { 0.004894e-6, 5746.271337896, 4.683210850 }, + { 0.004875e-6, 5760.498431898, 0.759507698 }, + { 0.004416e-6, 5223.693919802, 6.028853166 }, + /* 691, 700 */ + { 0.004088e-6, -7.113547001, 0.060926389 }, + { 0.004433e-6, 77713.771467920, 3.627734103 }, + { 0.003277e-6, 18849.227549974, 2.327912542 }, + { 0.002703e-6, 6062.663207553, 1.271941729 }, + { 0.003435e-6, -775.522611324, 0.747446224 }, + { 0.002618e-6, 6076.890301554, 3.633715689 }, + { 0.003146e-6, 206.185548437, 5.647874613 }, + { 0.002544e-6, 1577.343542448, 6.232904270 }, + { 0.002218e-6, -220.412642439, 1.309509946 }, + { 0.002197e-6, 5856.477659115, 2.407212349 }, + /* 701, 710 */ + { 0.002897e-6, 5753.384884897, 5.863842246 }, + { 0.001766e-6, 426.598190876, 0.754113147 }, + { 0.001738e-6, -796.298006816, 2.714942671 }, + { 0.001695e-6, 522.577418094, 2.629369842 }, + { 0.001584e-6, 5507.553238667, 1.341138229 }, + { 0.001503e-6, -242.728603974, 0.377699736 }, + { 0.001552e-6, -536.804512095, 2.904684667 }, + { 0.001370e-6, -398.149003408, 1.265599125 }, + { 0.001889e-6, -5573.142801634, 4.413514859 }, + { 0.001722e-6, 6069.776754553, 2.445966339 }, + /* 711, 720 */ + { 0.001124e-6, 1059.381930189, 5.041799657 }, + { 0.001258e-6, 553.569402842, 3.849557278 }, + { 0.000831e-6, 951.718406251, 2.471094709 }, + { 0.000767e-6, 4694.002954708, 5.363125422 }, + { 0.000756e-6, 1349.867409659, 1.046195744 }, + { 0.000775e-6, -11.045700264, 0.245548001 }, + { 0.000597e-6, 2146.165416475, 4.543268798 }, + { 0.000568e-6, 5216.580372801, 4.178853144 }, + { 0.000711e-6, 1748.016413067, 5.934271972 }, + { 0.000499e-6, 12036.460734888, 0.624434410 }, + /* 721, 730 */ + { 0.000671e-6, -1194.447010225, 4.136047594 }, + { 0.000488e-6, 5849.364112115, 2.209679987 }, + { 0.000621e-6, 6438.496249426, 4.518860804 }, + { 0.000495e-6, -6286.598968340, 1.868201275 }, + { 0.000456e-6, 5230.807466803, 1.271231591 }, + { 0.000451e-6, 5088.628839767, 0.084060889 }, + { 0.000435e-6, 5643.178563677, 3.324456609 }, + { 0.000387e-6, 10977.078804699, 4.052488477 }, + { 0.000547e-6, 161000.685737473, 2.841633844 }, + { 0.000522e-6, 3154.687084896, 2.171979966 }, + /* 731, 740 */ + { 0.000375e-6, 5486.777843175, 4.983027306 }, + { 0.000421e-6, 5863.591206116, 4.546432249 }, + { 0.000439e-6, 7084.896781115, 0.522967921 }, + { 0.000309e-6, 2544.314419883, 3.172606705 }, + { 0.000347e-6, 4690.479836359, 1.479586566 }, + { 0.000317e-6, 801.820931124, 3.553088096 }, + { 0.000262e-6, 419.484643875, 0.606635550 }, + { 0.000248e-6, 6836.645252834, 3.014082064 }, + { 0.000245e-6, -1592.596013633, 5.519526220 }, + { 0.000225e-6, 4292.330832950, 2.877956536 }, + /* 741, 750 */ + { 0.000214e-6, 7234.794256242, 1.605227587 }, + { 0.000205e-6, 5767.611978898, 0.625804796 }, + { 0.000180e-6, 10447.387839604, 3.499954526 }, + { 0.000229e-6, 199.072001436, 5.632304604 }, + { 0.000214e-6, 639.897286314, 5.960227667 }, + { 0.000175e-6, -433.711737877, 2.162417992 }, + { 0.000209e-6, 515.463871093, 2.322150893 }, + { 0.000173e-6, 6040.347246017, 2.556183691 }, + { 0.000184e-6, 6309.374169791, 4.732296790 }, + { 0.000227e-6, 149854.400134205, 5.385812217 }, + /* 751, 760 */ + { 0.000154e-6, 8031.092263058, 5.120720920 }, + { 0.000151e-6, 5739.157790895, 4.815000443 }, + { 0.000197e-6, 7632.943259650, 0.222827271 }, + { 0.000197e-6, 74.781598567, 3.910456770 }, + { 0.000138e-6, 6055.549660552, 1.397484253 }, + { 0.000149e-6, -6127.655450557, 5.333727496 }, + { 0.000137e-6, 3894.181829542, 4.281749907 }, + { 0.000135e-6, 9437.762934887, 5.979971885 }, + { 0.000139e-6, -2352.866153772, 4.715630782 }, + { 0.000142e-6, 6812.766815086, 0.513330157 }, + /* 761, 770 */ + { 0.000120e-6, -4705.732307544, 0.194160689 }, + { 0.000131e-6, -71430.695617928, 0.000379226 }, + { 0.000124e-6, 6279.552731642, 2.122264908 }, + { 0.000108e-6, -6256.777530192, 0.883445696 }, + + /* T^3 */ + { 0.143388e-6, 6283.075849991, 1.131453581 }, + { 0.006671e-6, 12566.151699983, 0.775148887 }, + { 0.001480e-6, 155.420399434, 0.480016880 }, + { 0.000934e-6, 213.299095438, 6.144453084 }, + { 0.000795e-6, 529.690965095, 2.941595619 }, + { 0.000673e-6, 5746.271337896, 0.120415406 }, + /* 771, 780 */ + { 0.000672e-6, 5760.498431898, 5.317009738 }, + { 0.000389e-6, -220.412642439, 3.090323467 }, + { 0.000373e-6, 6062.663207553, 3.003551964 }, + { 0.000360e-6, 6076.890301554, 1.918913041 }, + { 0.000316e-6, -21.340641002, 5.545798121 }, + { 0.000315e-6, -242.728603974, 1.884932563 }, + { 0.000278e-6, 206.185548437, 1.266254859 }, + { 0.000238e-6, -536.804512095, 4.532664830 }, + { 0.000185e-6, 522.577418094, 4.578313856 }, + { 0.000245e-6, 18849.227549974, 0.587467082 }, + /* 781, 787 */ + { 0.000180e-6, 426.598190876, 5.151178553 }, + { 0.000200e-6, 553.569402842, 5.355983739 }, + { 0.000141e-6, 5223.693919802, 1.336556009 }, + { 0.000104e-6, 5856.477659115, 4.239842759 }, + + /* T^4 */ + { 0.003826e-6, 6283.075849991, 5.705257275 }, + { 0.000303e-6, 12566.151699983, 5.407132842 }, + { 0.000209e-6, 155.420399434, 1.989815753 } + }; + + +/* Time since J2000.0 in Julian millennia. */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJM; + +/* ================= */ +/* Topocentric terms */ +/* ================= */ + +/* Convert UT to local solar time in radians. */ + tsol = fmod(ut, 1.0) * ERFA_D2PI + elong; + +/* FUNDAMENTAL ARGUMENTS: Simon et al. 1994. */ + +/* Combine time argument (millennia) with deg/arcsec factor. */ + w = t / 3600.0; + +/* Sun Mean Longitude. */ + elsun = fmod(280.46645683 + 1296027711.03429 * w, 360.0) * ERFA_DD2R; + +/* Sun Mean Anomaly. */ + emsun = fmod(357.52910918 + 1295965810.481 * w, 360.0) * ERFA_DD2R; + +/* Mean Elongation of Moon from Sun. */ + d = fmod(297.85019547 + 16029616012.090 * w, 360.0) * ERFA_DD2R; + +/* Mean Longitude of Jupiter. */ + elj = fmod(34.35151874 + 109306899.89453 * w, 360.0) * ERFA_DD2R; + +/* Mean Longitude of Saturn. */ + els = fmod(50.07744430 + 44046398.47038 * w, 360.0) * ERFA_DD2R; + +/* TOPOCENTRIC TERMS: Moyer 1981 and Murray 1983. */ + wt = + 0.00029e-10 * u * sin(tsol + elsun - els) + + 0.00100e-10 * u * sin(tsol - 2.0 * emsun) + + 0.00133e-10 * u * sin(tsol - d) + + 0.00133e-10 * u * sin(tsol + elsun - elj) + - 0.00229e-10 * u * sin(tsol + 2.0 * elsun + emsun) + - 0.02200e-10 * v * cos(elsun + emsun) + + 0.05312e-10 * u * sin(tsol - emsun) + - 0.13677e-10 * u * sin(tsol + 2.0 * elsun) + - 1.31840e-10 * v * cos(elsun) + + 3.17679e-10 * u * sin(tsol); + +/* ===================== */ +/* Fairhead et al. model */ +/* ===================== */ + +/* T**0 */ + w0 = 0; + for (j = 473; j >= 0; j--) { + w0 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]); + } + +/* T**1 */ + w1 = 0; + for (j = 678; j >= 474; j--) { + w1 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]); + } + +/* T**2 */ + w2 = 0; + for (j = 763; j >= 679; j--) { + w2 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]); + } + +/* T**3 */ + w3 = 0; + for (j = 783; j >= 764; j--) { + w3 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]); + } + +/* T**4 */ + w4 = 0; + for (j = 786; j >= 784; j--) { + w4 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]); + } + +/* Multiply by powers of T and combine. */ + wf = t * (t * (t * (t * w4 + w3) + w2) + w1) + w0; + +/* Adjustments to use JPL planetary masses instead of IAU. */ + wj = 0.00065e-6 * sin(6069.776754 * t + 4.021194) + + 0.00033e-6 * sin( 213.299095 * t + 5.543132) + + (-0.00196e-6 * sin(6208.294251 * t + 5.696701)) + + (-0.00173e-6 * sin( 74.781599 * t + 2.435900)) + + 0.03638e-6 * t * t; + +/* ============ */ +/* Final result */ +/* ============ */ + +/* TDB-TT in seconds. */ + w = wt + wf + wj; + + return w; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/dtf2d.c b/ast/erfa/dtf2d.c new file mode 100644 index 0000000..551d1c4 --- /dev/null +++ b/ast/erfa/dtf2d.c @@ -0,0 +1,212 @@ +#include "erfa.h" +#include <string.h> + +int eraDtf2d(const char *scale, int iy, int im, int id, + int ihr, int imn, double sec, double *d1, double *d2) +/* +** - - - - - - - - - +** e r a D t f 2 d +** - - - - - - - - - +** +** Encode date and time fields into 2-part Julian Date (or in the case +** of UTC a quasi-JD form that includes special provision for leap +** seconds). +** +** Given: +** scale char[] time scale ID (Note 1) +** iy,im,id int year, month, day in Gregorian calendar (Note 2) +** ihr,imn int hour, minute +** sec double seconds +** +** Returned: +** d1,d2 double 2-part Julian Date (Notes 3,4) +** +** Returned (function value): +** int status: +3 = both of next two +** +2 = time is after end of day (Note 5) +** +1 = dubious year (Note 6) +** 0 = OK +** -1 = bad year +** -2 = bad month +** -3 = bad day +** -4 = bad hour +** -5 = bad minute +** -6 = bad second (<0) +** +** Notes: +** +** 1) scale identifies the time scale. Only the value "UTC" (in upper +** case) is significant, and enables handling of leap seconds (see +** Note 4). +** +** 2) For calendar conventions and limitations, see eraCal2jd. +** +** 3) The sum of the results, d1+d2, is Julian Date, where normally d1 +** is the Julian Day Number and d2 is the fraction of a day. In the +** case of UTC, where the use of JD is problematical, special +** conventions apply: see the next note. +** +** 4) JD cannot unambiguously represent UTC during a leap second unless +** special measures are taken. The ERFA internal convention is that +** the quasi-JD day represents UTC days whether the length is 86399, +** 86400 or 86401 SI seconds. In the 1960-1972 era there were +** smaller jumps (in either direction) each time the linear UTC(TAI) +** expression was changed, and these "mini-leaps" are also included +** in the ERFA convention. +** +** 5) The warning status "time is after end of day" usually means that +** the sec argument is greater than 60.0. However, in a day ending +** in a leap second the limit changes to 61.0 (or 59.0 in the case +** of a negative leap second). +** +** 6) The warning status "dubious year" flags UTCs that predate the +** introduction of the time scale or that are too far in the future +** to be trusted. See eraDat for further details. +** +** 7) Only in the case of continuous and regular time scales (TAI, TT, +** TCG, TCB and TDB) is the result d1+d2 a Julian Date, strictly +** speaking. In the other cases (UT1 and UTC) the result must be +** used with circumspection; in particular the difference between +** two such results cannot be interpreted as a precise time +** interval. +** +** Called: +** eraCal2jd Gregorian calendar to JD +** eraDat delta(AT) = TAI-UTC +** eraJd2cal JD to Gregorian calendar +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int js, iy2, im2, id2; + double dj, w, day, seclim, dat0, dat12, dat24, dleap, time; + + +/* Today's Julian Day Number. */ + js = eraCal2jd(iy, im, id, &dj, &w); + if ( js ) return js; + dj += w; + +/* Day length and final minute length in seconds (provisional). */ + day = ERFA_DAYSEC; + seclim = 60.0; + +/* Deal with the UTC leap second case. */ + if ( ! strcmp(scale,"UTC") ) { + + /* TAI-UTC at 0h today. */ + js = eraDat(iy, im, id, 0.0, &dat0); + if ( js < 0 ) return js; + + /* TAI-UTC at 12h today (to detect drift). */ + js = eraDat(iy, im, id, 0.5, &dat12); + if ( js < 0 ) return js; + + /* TAI-UTC at 0h tomorrow (to detect jumps). */ + js = eraJd2cal ( dj, 1.5, &iy2, &im2, &id2, &w); + if ( js ) return js; + js = eraDat(iy2, im2, id2, 0.0, &dat24); + if ( js < 0 ) return js; + + /* Any sudden change in TAI-UTC between today and tomorrow. */ + dleap = dat24 - (2.0*dat12 - dat0); + + /* If leap second day, correct the day and final minute lengths. */ + day += dleap; + if ( ihr == 23 && imn == 59 ) seclim += dleap; + + /* End of UTC-specific actions. */ + } + +/* Validate the time. */ + if ( ihr >= 0 && ihr <= 23 ) { + if ( imn >= 0 && imn <= 59 ) { + if ( sec >= 0 ) { + if ( sec >= seclim ) { + js += 2; + } + } else { + js = -6; + } + } else { + js = -5; + } + } else { + js = -4; + } + if ( js < 0 ) return js; + +/* The time in days. */ + time = ( 60.0 * ( (double) ( 60 * ihr + imn ) ) + sec ) / day; + +/* Return the date and time. */ + *d1 = dj; + *d2 = time; + +/* Status. */ + return js; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ee00.c b/ast/erfa/ee00.c new file mode 100644 index 0000000..d66981d --- /dev/null +++ b/ast/erfa/ee00.c @@ -0,0 +1,137 @@ +#include "erfa.h" + +double eraEe00(double date1, double date2, double epsa, double dpsi) +/* +** - - - - - - - - +** e r a E e 0 0 +** - - - - - - - - +** +** The equation of the equinoxes, compatible with IAU 2000 resolutions, +** given the nutation in longitude and the mean obliquity. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** epsa double mean obliquity (Note 2) +** dpsi double nutation in longitude (Note 3) +** +** Returned (function value): +** double equation of the equinoxes (Note 4) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The obliquity, in radians, is mean of date. +** +** 3) The result, which is in radians, operates in the following sense: +** +** Greenwich apparent ST = GMST + equation of the equinoxes +** +** 4) The result is compatible with the IAU 2000 resolutions. For +** further details, see IERS Conventions 2003 and Capitaine et al. +** (2002). +** +** Called: +** eraEect00 equation of the equinoxes complementary terms +** +** References: +** +** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to +** implement the IAU 2000 definition of UT1", Astronomy & +** Astrophysics, 406, 1135-1149 (2003) +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double ee; + + +/* Equation of the equinoxes. */ + ee = dpsi * cos(epsa) + eraEect00(date1, date2); + + return ee; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ee00a.c b/ast/erfa/ee00a.c new file mode 100644 index 0000000..c21d65d --- /dev/null +++ b/ast/erfa/ee00a.c @@ -0,0 +1,144 @@ +#include "erfa.h" + +double eraEe00a(double date1, double date2) +/* +** - - - - - - - - - +** e r a E e 0 0 a +** - - - - - - - - - +** +** Equation of the equinoxes, compatible with IAU 2000 resolutions. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned (function value): +** double equation of the equinoxes (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The result, which is in radians, operates in the following sense: +** +** Greenwich apparent ST = GMST + equation of the equinoxes +** +** 3) The result is compatible with the IAU 2000 resolutions. For +** further details, see IERS Conventions 2003 and Capitaine et al. +** (2002). +** +** Called: +** eraPr00 IAU 2000 precession adjustments +** eraObl80 mean obliquity, IAU 1980 +** eraNut00a nutation, IAU 2000A +** eraEe00 equation of the equinoxes, IAU 2000 +** +** References: +** +** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to +** implement the IAU 2000 definition of UT1", Astronomy & +** Astrophysics, 406, 1135-1149 (2003). +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dpsipr, depspr, epsa, dpsi, deps, ee; + + +/* IAU 2000 precession-rate adjustments. */ + eraPr00(date1, date2, &dpsipr, &depspr); + +/* Mean obliquity, consistent with IAU 2000 precession-nutation. */ + epsa = eraObl80(date1, date2) + depspr; + +/* Nutation in longitude. */ + eraNut00a(date1, date2, &dpsi, &deps); + +/* Equation of the equinoxes. */ + ee = eraEe00(date1, date2, epsa, dpsi); + + return ee; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ee00b.c b/ast/erfa/ee00b.c new file mode 100644 index 0000000..b3c7984 --- /dev/null +++ b/ast/erfa/ee00b.c @@ -0,0 +1,150 @@ +#include "erfa.h" + +double eraEe00b(double date1, double date2) +/* +** - - - - - - - - - +** e r a E e 0 0 b +** - - - - - - - - - +** +** Equation of the equinoxes, compatible with IAU 2000 resolutions but +** using the truncated nutation model IAU 2000B. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned (function value): +** double equation of the equinoxes (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The result, which is in radians, operates in the following sense: +** +** Greenwich apparent ST = GMST + equation of the equinoxes +** +** 3) The result is compatible with the IAU 2000 resolutions except +** that accuracy has been compromised for the sake of speed. For +** further details, see McCarthy & Luzum (2001), IERS Conventions +** 2003 and Capitaine et al. (2003). +** +** Called: +** eraPr00 IAU 2000 precession adjustments +** eraObl80 mean obliquity, IAU 1980 +** eraNut00b nutation, IAU 2000B +** eraEe00 equation of the equinoxes, IAU 2000 +** +** References: +** +** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to +** implement the IAU 2000 definition of UT1", Astronomy & +** Astrophysics, 406, 1135-1149 (2003) +** +** McCarthy, D.D. & Luzum, B.J., "An abridged model of the +** precession-nutation of the celestial pole", Celestial Mechanics & +** Dynamical Astronomy, 85, 37-49 (2003) +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dpsipr, depspr, epsa, dpsi, deps, ee; + + +/* IAU 2000 precession-rate adjustments. */ + eraPr00(date1, date2, &dpsipr, &depspr); + +/* Mean obliquity, consistent with IAU 2000 precession-nutation. */ + epsa = eraObl80(date1, date2) + depspr; + +/* Nutation in longitude. */ + eraNut00b(date1, date2, &dpsi, &deps); + +/* Equation of the equinoxes. */ + ee = eraEe00(date1, date2, epsa, dpsi); + + return ee; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ee06a.c b/ast/erfa/ee06a.c new file mode 100644 index 0000000..9eb15ed --- /dev/null +++ b/ast/erfa/ee06a.c @@ -0,0 +1,131 @@ +#include "erfa.h" + +double eraEe06a(double date1, double date2) +/* +** - - - - - - - - - +** e r a E e 0 6 a +** - - - - - - - - - +** +** Equation of the equinoxes, compatible with IAU 2000 resolutions and +** IAU 2006/2000A precession-nutation. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned (function value): +** double equation of the equinoxes (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The result, which is in radians, operates in the following sense: +** +** Greenwich apparent ST = GMST + equation of the equinoxes +** +** Called: +** eraAnpm normalize angle into range +/- pi +** eraGst06a Greenwich apparent sidereal time, IAU 2006/2000A +** eraGmst06 Greenwich mean sidereal time, IAU 2006 +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003), +** IERS Technical Note No. 32, BKG +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double gst06a, gmst06, ee; + + +/* Apparent and mean sidereal times. */ + gst06a = eraGst06a(0.0, 0.0, date1, date2); + gmst06 = eraGmst06(0.0, 0.0, date1, date2); + +/* Equation of the equinoxes. */ + ee = eraAnpm(gst06a - gmst06); + + return ee; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/eect00.c b/ast/erfa/eect00.c new file mode 100644 index 0000000..d2af497 --- /dev/null +++ b/ast/erfa/eect00.c @@ -0,0 +1,291 @@ +#include "erfa.h" + +double eraEect00(double date1, double date2) +/* +** - - - - - - - - - - +** e r a E e c t 0 0 +** - - - - - - - - - - +** +** Equation of the equinoxes complementary terms, consistent with +** IAU 2000 resolutions. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned (function value): +** double complementary terms (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The "complementary terms" are part of the equation of the +** equinoxes (EE), classically the difference between apparent and +** mean Sidereal Time: +** +** GAST = GMST + EE +** +** with: +** +** EE = dpsi * cos(eps) +** +** where dpsi is the nutation in longitude and eps is the obliquity +** of date. However, if the rotation of the Earth were constant in +** an inertial frame the classical formulation would lead to +** apparent irregularities in the UT1 timescale traceable to side- +** effects of precession-nutation. In order to eliminate these +** effects from UT1, "complementary terms" were introduced in 1994 +** (IAU, 1994) and took effect from 1997 (Capitaine and Gontier, +** 1993): +** +** GAST = GMST + CT + EE +** +** By convention, the complementary terms are included as part of +** the equation of the equinoxes rather than as part of the mean +** Sidereal Time. This slightly compromises the "geometrical" +** interpretation of mean sidereal time but is otherwise +** inconsequential. +** +** The present function computes CT in the above expression, +** compatible with IAU 2000 resolutions (Capitaine et al., 2002, and +** IERS Conventions 2003). +** +** Called: +** eraFal03 mean anomaly of the Moon +** eraFalp03 mean anomaly of the Sun +** eraFaf03 mean argument of the latitude of the Moon +** eraFad03 mean elongation of the Moon from the Sun +** eraFaom03 mean longitude of the Moon's ascending node +** eraFave03 mean longitude of Venus +** eraFae03 mean longitude of Earth +** eraFapa03 general accumulated precession in longitude +** +** References: +** +** Capitaine, N. & Gontier, A.-M., Astron. Astrophys., 275, +** 645-650 (1993) +** +** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to +** implement the IAU 2000 definition of UT1", Astronomy & +** Astrophysics, 406, 1135-1149 (2003) +** +** IAU Resolution C7, Recommendation 3 (1994) +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Time since J2000.0, in Julian centuries */ + double t; + +/* Miscellaneous */ + int i, j; + double a, s0, s1; + +/* Fundamental arguments */ + double fa[14]; + +/* Returned value. */ + double eect; + +/* ----------------------------------------- */ +/* The series for the EE complementary terms */ +/* ----------------------------------------- */ + + typedef struct { + int nfa[8]; /* coefficients of l,l',F,D,Om,LVe,LE,pA */ + double s, c; /* sine and cosine coefficients */ + } TERM; + +/* Terms of order t^0 */ + static const TERM e0[] = { + + /* 1-10 */ + {{ 0, 0, 0, 0, 1, 0, 0, 0}, 2640.96e-6, -0.39e-6 }, + {{ 0, 0, 0, 0, 2, 0, 0, 0}, 63.52e-6, -0.02e-6 }, + {{ 0, 0, 2, -2, 3, 0, 0, 0}, 11.75e-6, 0.01e-6 }, + {{ 0, 0, 2, -2, 1, 0, 0, 0}, 11.21e-6, 0.01e-6 }, + {{ 0, 0, 2, -2, 2, 0, 0, 0}, -4.55e-6, 0.00e-6 }, + {{ 0, 0, 2, 0, 3, 0, 0, 0}, 2.02e-6, 0.00e-6 }, + {{ 0, 0, 2, 0, 1, 0, 0, 0}, 1.98e-6, 0.00e-6 }, + {{ 0, 0, 0, 0, 3, 0, 0, 0}, -1.72e-6, 0.00e-6 }, + {{ 0, 1, 0, 0, 1, 0, 0, 0}, -1.41e-6, -0.01e-6 }, + {{ 0, 1, 0, 0, -1, 0, 0, 0}, -1.26e-6, -0.01e-6 }, + + /* 11-20 */ + {{ 1, 0, 0, 0, -1, 0, 0, 0}, -0.63e-6, 0.00e-6 }, + {{ 1, 0, 0, 0, 1, 0, 0, 0}, -0.63e-6, 0.00e-6 }, + {{ 0, 1, 2, -2, 3, 0, 0, 0}, 0.46e-6, 0.00e-6 }, + {{ 0, 1, 2, -2, 1, 0, 0, 0}, 0.45e-6, 0.00e-6 }, + {{ 0, 0, 4, -4, 4, 0, 0, 0}, 0.36e-6, 0.00e-6 }, + {{ 0, 0, 1, -1, 1, -8, 12, 0}, -0.24e-6, -0.12e-6 }, + {{ 0, 0, 2, 0, 0, 0, 0, 0}, 0.32e-6, 0.00e-6 }, + {{ 0, 0, 2, 0, 2, 0, 0, 0}, 0.28e-6, 0.00e-6 }, + {{ 1, 0, 2, 0, 3, 0, 0, 0}, 0.27e-6, 0.00e-6 }, + {{ 1, 0, 2, 0, 1, 0, 0, 0}, 0.26e-6, 0.00e-6 }, + + /* 21-30 */ + {{ 0, 0, 2, -2, 0, 0, 0, 0}, -0.21e-6, 0.00e-6 }, + {{ 0, 1, -2, 2, -3, 0, 0, 0}, 0.19e-6, 0.00e-6 }, + {{ 0, 1, -2, 2, -1, 0, 0, 0}, 0.18e-6, 0.00e-6 }, + {{ 0, 0, 0, 0, 0, 8,-13, -1}, -0.10e-6, 0.05e-6 }, + {{ 0, 0, 0, 2, 0, 0, 0, 0}, 0.15e-6, 0.00e-6 }, + {{ 2, 0, -2, 0, -1, 0, 0, 0}, -0.14e-6, 0.00e-6 }, + {{ 1, 0, 0, -2, 1, 0, 0, 0}, 0.14e-6, 0.00e-6 }, + {{ 0, 1, 2, -2, 2, 0, 0, 0}, -0.14e-6, 0.00e-6 }, + {{ 1, 0, 0, -2, -1, 0, 0, 0}, 0.14e-6, 0.00e-6 }, + {{ 0, 0, 4, -2, 4, 0, 0, 0}, 0.13e-6, 0.00e-6 }, + + /* 31-33 */ + {{ 0, 0, 2, -2, 4, 0, 0, 0}, -0.11e-6, 0.00e-6 }, + {{ 1, 0, -2, 0, -3, 0, 0, 0}, 0.11e-6, 0.00e-6 }, + {{ 1, 0, -2, 0, -1, 0, 0, 0}, 0.11e-6, 0.00e-6 } + }; + +/* Terms of order t^1 */ + static const TERM e1[] = { + {{ 0, 0, 0, 0, 1, 0, 0, 0}, -0.87e-6, 0.00e-6 } + }; + +/* Number of terms in the series */ + const int NE0 = (int) (sizeof e0 / sizeof (TERM)); + const int NE1 = (int) (sizeof e1 / sizeof (TERM)); + +/*--------------------------------------------------------------------*/ + +/* Interval between fundamental epoch J2000.0 and current date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* Fundamental Arguments (from IERS Conventions 2003) */ + +/* Mean anomaly of the Moon. */ + fa[0] = eraFal03(t); + +/* Mean anomaly of the Sun. */ + fa[1] = eraFalp03(t); + +/* Mean longitude of the Moon minus that of the ascending node. */ + fa[2] = eraFaf03(t); + +/* Mean elongation of the Moon from the Sun. */ + fa[3] = eraFad03(t); + +/* Mean longitude of the ascending node of the Moon. */ + fa[4] = eraFaom03(t); + +/* Mean longitude of Venus. */ + fa[5] = eraFave03(t); + +/* Mean longitude of Earth. */ + fa[6] = eraFae03(t); + +/* General precession in longitude. */ + fa[7] = eraFapa03(t); + +/* Evaluate the EE complementary terms. */ + s0 = 0.0; + s1 = 0.0; + + for (i = NE0-1; i >= 0; i--) { + a = 0.0; + for (j = 0; j < 8; j++) { + a += (double)(e0[i].nfa[j]) * fa[j]; + } + s0 += e0[i].s * sin(a) + e0[i].c * cos(a); + } + + for (i = NE1-1; i >= 0; i--) { + a = 0.0; + for (j = 0; j < 8; j++) { + a += (double)(e1[i].nfa[j]) * fa[j]; + } + s1 += e1[i].s * sin(a) + e1[i].c * cos(a); + } + + eect = (s0 + s1 * t ) * ERFA_DAS2R; + + return eect; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/eform.c b/ast/erfa/eform.c new file mode 100644 index 0000000..2c30412 --- /dev/null +++ b/ast/erfa/eform.c @@ -0,0 +1,155 @@ +#include "erfa.h" + +int eraEform ( int n, double *a, double *f ) +/* +** - - - - - - - - - +** e r a E f o r m +** - - - - - - - - - +** +** Earth reference ellipsoids. +** +** Given: +** n int ellipsoid identifier (Note 1) +** +** Returned: +** a double equatorial radius (meters, Note 2) +** f double flattening (Note 2) +** +** Returned (function value): +** int status: 0 = OK +** -1 = illegal identifier (Note 3) +** +** Notes: +** +** 1) The identifier n is a number that specifies the choice of +** reference ellipsoid. The following are supported: +** +** n ellipsoid +** +** 1 ERFA_WGS84 +** 2 ERFA_GRS80 +** 3 ERFA_WGS72 +** +** The n value has no significance outside the ERFA software. For +** convenience, symbols ERFA_WGS84 etc. are defined in erfam.h. +** +** 2) The ellipsoid parameters are returned in the form of equatorial +** radius in meters (a) and flattening (f). The latter is a number +** around 0.00335, i.e. around 1/298. +** +** 3) For the case where an unsupported n value is supplied, zero a and +** f are returned, as well as error status. +** +** References: +** +** Department of Defense World Geodetic System 1984, National +** Imagery and Mapping Agency Technical Report 8350.2, Third +** Edition, p3-2. +** +** Moritz, H., Bull. Geodesique 66-2, 187 (1992). +** +** The Department of Defense World Geodetic System 1972, World +** Geodetic System Committee, May 1974. +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992), +** p220. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* Look up a and f for the specified reference ellipsoid. */ + switch ( n ) { + + case ERFA_WGS84: + *a = 6378137.0; + *f = 1.0 / 298.257223563; + break; + + case ERFA_GRS80: + *a = 6378137.0; + *f = 1.0 / 298.257222101; + break; + + case ERFA_WGS72: + *a = 6378135.0; + *f = 1.0 / 298.26; + break; + + default: + + /* Invalid identifier. */ + *a = 0.0; + *f = 0.0; + return -1; + + } + +/* OK status. */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/eo06a.c b/ast/erfa/eo06a.c new file mode 100644 index 0000000..86ec8cb --- /dev/null +++ b/ast/erfa/eo06a.c @@ -0,0 +1,140 @@ +#include "erfa.h" + +double eraEo06a(double date1, double date2) +/* +** - - - - - - - - - +** e r a E o 0 6 a +** - - - - - - - - - +** +** Equation of the origins, IAU 2006 precession and IAU 2000A nutation. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned (function value): +** double equation of the origins in radians +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The equation of the origins is the distance between the true +** equinox and the celestial intermediate origin and, equivalently, +** the difference between Earth rotation angle and Greenwich +** apparent sidereal time (ERA-GST). It comprises the precession +** (since J2000.0) in right ascension plus the equation of the +** equinoxes (including the small correction terms). +** +** Called: +** eraPnm06a classical NPB matrix, IAU 2006/2000A +** eraBpn2xy extract CIP X,Y coordinates from NPB matrix +** eraS06 the CIO locator s, given X,Y, IAU 2006 +** eraEors equation of the origins, given NPB matrix and s +** +** References: +** +** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 +** +** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double r[3][3], x, y, s, eo; + + +/* Classical nutation x precession x bias matrix. */ + eraPnm06a(date1, date2, r); + +/* Extract CIP coordinates. */ + eraBpn2xy(r, &x, &y); + +/* The CIO locator, s. */ + s = eraS06(date1, date2, x, y); + +/* Solve for the EO. */ + eo = eraEors(r, s); + + return eo; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/eors.c b/ast/erfa/eors.c new file mode 100644 index 0000000..c16d452 --- /dev/null +++ b/ast/erfa/eors.c @@ -0,0 +1,117 @@ +#include "erfa.h" + +double eraEors(double rnpb[3][3], double s) +/* +** - - - - - - - - +** e r a E o r s +** - - - - - - - - +** +** Equation of the origins, given the classical NPB matrix and the +** quantity s. +** +** Given: +** rnpb double[3][3] classical nutation x precession x bias matrix +** s double the quantity s (the CIO locator) +** +** Returned (function value): +** double the equation of the origins in radians. +** +** Notes: +** +** 1) The equation of the origins is the distance between the true +** equinox and the celestial intermediate origin and, equivalently, +** the difference between Earth rotation angle and Greenwich +** apparent sidereal time (ERA-GST). It comprises the precession +** (since J2000.0) in right ascension plus the equation of the +** equinoxes (including the small correction terms). +** +** 2) The algorithm is from Wallace & Capitaine (2006). +** +** References: +** +** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 +** +** Wallace, P. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double x, ax, xs, ys, zs, p, q, eo; + + +/* Evaluate Wallace & Capitaine (2006) expression (16). */ + x = rnpb[2][0]; + ax = x / (1.0 + rnpb[2][2]); + xs = 1.0 - ax * x; + ys = -ax * rnpb[2][1]; + zs = -x; + p = rnpb[0][0] * xs + rnpb[0][1] * ys + rnpb[0][2] * zs; + q = rnpb[1][0] * xs + rnpb[1][1] * ys + rnpb[1][2] * zs; + eo = ((p != 0) || (q != 0)) ? s - atan2(q, p) : s; + + return eo; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/epb.c b/ast/erfa/epb.c new file mode 100644 index 0000000..cd50ea8 --- /dev/null +++ b/ast/erfa/epb.c @@ -0,0 +1,100 @@ +#include "erfa.h" + +double eraEpb(double dj1, double dj2) +/* +** - - - - - - - +** e r a E p b +** - - - - - - - +** +** Julian Date to Besselian Epoch. +** +** Given: +** dj1,dj2 double Julian Date (see note) +** +** Returned (function value): +** double Besselian Epoch. +** +** Note: +** +** The Julian Date is supplied in two pieces, in the usual ERFA +** manner, which is designed to preserve time resolution. The +** Julian Date is available as a single number by adding dj1 and +** dj2. The maximum resolution is achieved if dj1 is 2451545.0 +** (J2000.0). +** +** Reference: +** +** Lieske, J.H., 1979. Astron.Astrophys., 73, 282. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* J2000.0-B1900.0 (2415019.81352) in days */ + const double D1900 = 36524.68648; + + return 1900.0 + ((dj1 - ERFA_DJ00) + (dj2 + D1900)) / ERFA_DTY; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/epb2jd.c b/ast/erfa/epb2jd.c new file mode 100644 index 0000000..0cee330 --- /dev/null +++ b/ast/erfa/epb2jd.c @@ -0,0 +1,100 @@ +#include "erfa.h" + +void eraEpb2jd(double epb, double *djm0, double *djm) +/* +** - - - - - - - - - - +** e r a E p b 2 j d +** - - - - - - - - - - +** +** Besselian Epoch to Julian Date. +** +** Given: +** epb double Besselian Epoch (e.g. 1957.3) +** +** Returned: +** djm0 double MJD zero-point: always 2400000.5 +** djm double Modified Julian Date +** +** Note: +** +** The Julian Date is returned in two pieces, in the usual ERFA +** manner, which is designed to preserve time resolution. The +** Julian Date is available as a single number by adding djm0 and +** djm. +** +** Reference: +** +** Lieske, J.H., 1979, Astron.Astrophys. 73, 282. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + *djm0 = ERFA_DJM0; + *djm = 15019.81352 + (epb - 1900.0) * ERFA_DTY; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/epj.c b/ast/erfa/epj.c new file mode 100644 index 0000000..1a2b957 --- /dev/null +++ b/ast/erfa/epj.c @@ -0,0 +1,102 @@ +#include "erfa.h" + +double eraEpj(double dj1, double dj2) +/* +** - - - - - - - +** e r a E p j +** - - - - - - - +** +** Julian Date to Julian Epoch. +** +** Given: +** dj1,dj2 double Julian Date (see note) +** +** Returned (function value): +** double Julian Epoch +** +** Note: +** +** The Julian Date is supplied in two pieces, in the usual ERFA +** manner, which is designed to preserve time resolution. The +** Julian Date is available as a single number by adding dj1 and +** dj2. The maximum resolution is achieved if dj1 is 2451545.0 +** (J2000.0). +** +** Reference: +** +** Lieske, J.H., 1979, Astron.Astrophys. 73, 282. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double epj; + + + epj = 2000.0 + ((dj1 - ERFA_DJ00) + dj2) / ERFA_DJY; + + return epj; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/epj2jd.c b/ast/erfa/epj2jd.c new file mode 100644 index 0000000..8fe1479 --- /dev/null +++ b/ast/erfa/epj2jd.c @@ -0,0 +1,100 @@ +#include "erfa.h" + +void eraEpj2jd(double epj, double *djm0, double *djm) +/* +** - - - - - - - - - - +** e r a E p j 2 j d +** - - - - - - - - - - +** +** Julian Epoch to Julian Date. +** +** Given: +** epj double Julian Epoch (e.g. 1996.8) +** +** Returned: +** djm0 double MJD zero-point: always 2400000.5 +** djm double Modified Julian Date +** +** Note: +** +** The Julian Date is returned in two pieces, in the usual ERFA +** manner, which is designed to preserve time resolution. The +** Julian Date is available as a single number by adding djm0 and +** djm. +** +** Reference: +** +** Lieske, J.H., 1979, Astron.Astrophys. 73, 282. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + *djm0 = ERFA_DJM0; + *djm = ERFA_DJM00 + (epj - 2000.0) * 365.25; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/epv00.c b/ast/erfa/epv00.c new file mode 100644 index 0000000..56d5fc8 --- /dev/null +++ b/ast/erfa/epv00.c @@ -0,0 +1,2598 @@ +#include "erfa.h" + +int eraEpv00(double date1, double date2, + double pvh[2][3], double pvb[2][3]) +/* +** - - - - - - - - - +** e r a E p v 0 0 +** - - - - - - - - - +** +** Earth position and velocity, heliocentric and barycentric, with +** respect to the Barycentric Celestial Reference System. +** +** Given: +** date1,date2 double TDB date (Note 1) +** +** Returned: +** pvh double[2][3] heliocentric Earth position/velocity +** pvb double[2][3] barycentric Earth position/velocity +** +** Returned (function value): +** int status: 0 = OK +** +1 = warning: date outside +** the range 1900-2100 AD +** +** Notes: +** +** 1) The TDB date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TDB)=2450123.7 could be expressed in any of these ways, among +** others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 method is best matched to the way the +** argument is handled internally and will deliver the optimum +** resolution. The MJD method and the date & time methods are both +** good compromises between resolution and convenience. However, +** the accuracy of the result is more likely to be limited by the +** algorithm itself than the way the date has been expressed. +** +** n.b. TT can be used instead of TDB in most applications. +** +** 2) On return, the arrays pvh and pvb contain the following: +** +** pvh[0][0] x } +** pvh[0][1] y } heliocentric position, AU +** pvh[0][2] z } +** +** pvh[1][0] xdot } +** pvh[1][1] ydot } heliocentric velocity, AU/d +** pvh[1][2] zdot } +** +** pvb[0][0] x } +** pvb[0][1] y } barycentric position, AU +** pvb[0][2] z } +** +** pvb[1][0] xdot } +** pvb[1][1] ydot } barycentric velocity, AU/d +** pvb[1][2] zdot } +** +** The vectors are with respect to the Barycentric Celestial +** Reference System. The time unit is one day in TDB. +** +** 3) The function is a SIMPLIFIED SOLUTION from the planetary theory +** VSOP2000 (X. Moisson, P. Bretagnon, 2001, Celes. Mechanics & +** Dyn. Astron., 80, 3/4, 205-213) and is an adaptation of original +** Fortran code supplied by P. Bretagnon (private comm., 2000). +** +** 4) Comparisons over the time span 1900-2100 with this simplified +** solution and the JPL DE405 ephemeris give the following results: +** +** RMS max +** Heliocentric: +** position error 3.7 11.2 km +** velocity error 1.4 5.0 mm/s +** +** Barycentric: +** position error 4.6 13.4 km +** velocity error 1.4 4.9 mm/s +** +** Comparisons with the JPL DE406 ephemeris show that by 1800 and +** 2200 the position errors are approximately double their 1900-2100 +** size. By 1500 and 2500 the deterioration is a factor of 10 and +** by 1000 and 3000 a factor of 60. The velocity accuracy falls off +** at about half that rate. +** +** 5) It is permissible to use the same array for pvh and pvb, which +** will receive the barycentric values. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* +** Matrix elements for orienting the analytical model to DE405. +** +** The corresponding Euler angles are: +** +** d ' " +** 1st rotation - 23 26 21.4091 about the x-axis (obliquity) +** 2nd rotation + 0.0475 about the z-axis (RA offset) +** +** These were obtained empirically, by comparisons with DE405 over +** 1900-2100. +*/ + static const double am12 = 0.000000211284, + am13 = -0.000000091603, + am21 = -0.000000230286, + am22 = 0.917482137087, + am23 = -0.397776982902, + am32 = 0.397776982902, + am33 = 0.917482137087; + +/* +** ---------------------- +** Ephemeris Coefficients +** ---------------------- +** +** The ephemeris consists of harmonic terms for predicting (i) the Sun +** to Earth vector and (ii) the Solar-System-barycenter to Sun vector +** respectively. The coefficients are stored in arrays which, although +** 1-demensional, contain groups of three. Each triplet of +** coefficients is the amplitude, phase and frequency for one term in +** the model, and each array contains the number of terms called for by +** the model. +** +** There are eighteen such arrays, named as follows: +** +** array model power of T component +** +** e0x Sun-to-Earth 0 x +** e0y Sun-to-Earth 0 y +** e0z Sun-to-Earth 0 z +** +** e1x Sun-to-Earth 1 x +** e1y Sun-to-Earth 1 y +** e1z Sun-to-Earth 1 z +** +** e2x Sun-to-Earth 2 x +** e2y Sun-to-Earth 2 y +** e2z Sun-to-Earth 2 z +** +** s0x SSB-to-Sun 0 x +** s0y SSB-to-Sun 0 y +** s0z SSB-to-Sun 0 z +** +** s1x SSB-to-Sun 1 x +** s1y SSB-to-Sun 1 y +** s1z SSB-to-Sun 1 z +** +** s2x SSB-to-Sun 2 x +** s2y SSB-to-Sun 2 y +** s2z SSB-to-Sun 2 z +*/ + +/* Sun-to-Earth, T^0, X */ + static const double e0x[] = { + 0.9998292878132e+00, 0.1753485171504e+01, 0.6283075850446e+01, + 0.8352579567414e-02, 0.1710344404582e+01, 0.1256615170089e+02, + 0.5611445335148e-02, 0.0000000000000e+00, 0.0000000000000e+00, + 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0.3329417758177e-08, 0.9812676559709e-01, 0.1685848245639e+02, + 0.4207206893193e-08, 0.9494780468236e+00, 0.2986433403208e+02, + 0.3268548976410e-08, 0.1739332095686e+00, 0.5749861718712e+01, + 0.3321880082685e-08, 0.1423354800666e+01, 0.6279143387820e+01, + + 0.4503173010852e-08, 0.2314972675293e+00, 0.1385561574497e+01, + 0.4316599090954e-08, 0.1012646782616e+00, 0.4176041334900e+01, + 0.3283493323850e-08, 0.5233306881265e+01, 0.6287008313071e+01, + 0.3164033542343e-08, 0.4005597257511e+01, 0.2099539292909e+02, + 0.4159720956725e-08, 0.5365676242020e+01, 0.5905702259363e+01, + 0.3565176892217e-08, 0.4284440620612e+01, 0.3932462625300e-02, + 0.3514440950221e-08, 0.4270562636575e+01, 0.7335344340001e+01, + 0.3540596871909e-08, 0.5953553201060e+01, 0.1234573916645e+02, + 0.2960769905118e-08, 0.1115180417718e+01, 0.2670964694522e+02, + 0.2962213739684e-08, 0.3863811918186e+01, 0.6408777551755e+00, + + 0.3883556700251e-08, 0.1268617928302e+01, 0.6660449441528e+01, + 0.2919225516346e-08, 0.4908605223265e+01, 0.1375773836557e+01, + 0.3115158863370e-08, 0.3744519976885e+01, 0.3802769619140e-01, + 0.4099438144212e-08, 0.4173244670532e+01, 0.4480965020977e+02, + 0.2899531858964e-08, 0.5910601428850e+01, 0.2059724391010e+02, + 0.3289733429855e-08, 0.2488050078239e+01, 0.1081813534213e+02, + 0.3933075612875e-08, 0.1122363652883e+01, 0.3773735910827e+00, + 0.3021403764467e-08, 0.4951973724904e+01, 0.2982630633589e+02, + 0.2798598949757e-08, 0.5117057845513e+01, 0.1937891852345e+02, + 0.3397421302707e-08, 0.6104159180476e+01, 0.6923953605621e+01, + + 0.3720398002179e-08, 0.1184933429829e+01, 0.3066615496545e+02, + 0.3598484186267e-08, 0.3505282086105e+01, 0.6147450479709e+01, + 0.3694594027310e-08, 0.2286651088141e+01, 0.2636725487657e+01, + 0.2680444152969e-08, 0.1871816775482e+00, 0.6816289982179e+01, + 0.3497574865641e-08, 0.3143251755431e+01, 0.6418701221183e+01, + 0.3130274129494e-08, 0.2462167316018e+01, 0.1235996607578e+02, + 0.3241119069551e-08, 0.4256374004686e+01, 0.1652265972112e+02, + 0.2601960842061e-08, 0.4970362941425e+01, 0.1045450126711e+02, + 0.2690601527504e-08, 0.2372657824898e+01, 0.3163918923335e+00, + 0.2908688152664e-08, 0.4232652627721e+01, 0.2828699048865e+02, + + 0.3120456131875e-08, 0.3925747001137e+00, 0.2195415756911e+02, + 0.3148855423384e-08, 0.3093478330445e+01, 0.1172006883645e+02, + 0.3051044261017e-08, 0.5560948248212e+01, 0.6055599646783e+01, + 0.2826006876660e-08, 0.5072790310072e+01, 0.5120601093667e+01, + 0.3100034191711e-08, 0.4998530231096e+01, 0.1799603123222e+02, + 0.2398771640101e-08, 0.2561739802176e+01, 0.6255674361143e+01, + 0.2384002842728e-08, 0.4087420284111e+01, 0.6310477339748e+01, + 0.2842146517568e-08, 0.2515048217955e+01, 0.5469525544182e+01, + 0.2847674371340e-08, 0.5235326497443e+01, 0.1034429499989e+02, + 0.2903722140764e-08, 0.1088200795797e+01, 0.6510552054109e+01, + + 0.3187610710605e-08, 0.4710624424816e+01, 0.1693792562116e+03, + 0.3048869992813e-08, 0.2857975896445e+00, 0.8390110365991e+01, + 0.2860216950984e-08, 0.2241619020815e+01, 0.2243449970715e+00, + 0.2701117683113e-08, 0.6651573305272e-01, 0.6129297044991e+01, + 0.2509891590152e-08, 0.1285135324585e+01, 0.1044027435778e+02, + 0.2623200252223e-08, 0.2981229834530e+00, 0.6436854655901e+01, + 0.2622541669202e-08, 0.6122470726189e+01, 0.9380959548977e+01, + 0.2818435667099e-08, 0.4251087148947e+01, 0.5934151399930e+01, + 0.2365196797465e-08, 0.3465070460790e+01, 0.2470570524223e+02, + 0.2358704646143e-08, 0.5791603815350e+01, 0.8671969964381e+01, + + 0.2388299481390e-08, 0.4142483772941e+01, 0.7096626156709e+01, + 0.1996041217224e-08, 0.2101901889496e+01, 0.1727188400790e+02, + 0.2687593060336e-08, 0.1526689456959e+01, 0.7075506709219e+02, + 0.2618913670810e-08, 0.2397684236095e+01, 0.6632000300961e+01, + 0.2571523050364e-08, 0.5751929456787e+00, 0.6206810014183e+01, + 0.2582135006946e-08, 0.5595464352926e+01, 0.4873985990671e+02, + 0.2372530190361e-08, 0.5092689490655e+01, 0.1590676413561e+02, + 0.2357178484712e-08, 0.4444363527851e+01, 0.3097883698531e+01, + 0.2451590394723e-08, 0.3108251687661e+01, 0.6612329252343e+00, + 0.2370045949608e-08, 0.2608133861079e+01, 0.3459636466239e+02, + + 0.2268997267358e-08, 0.3639717753384e+01, 0.2844914056730e-01, + 0.1731432137906e-08, 0.1741898445707e+00, 0.2019909489111e+02, + 0.1629869741622e-08, 0.3902225646724e+01, 0.3035599730800e+02, + 0.2206215801974e-08, 0.4971131250731e+01, 0.6281667977667e+01, + 0.2205469554680e-08, 0.1677462357110e+01, 0.6284483723224e+01, + 0.2148792362509e-08, 0.4236259604006e+01, 0.1980482729015e+02, + 0.1873733657847e-08, 0.5926814998687e+01, 0.2876692439167e+02, + 0.2026573758959e-08, 0.4349643351962e+01, 0.2449240616245e+02, + 0.1807770325110e-08, 0.5700940482701e+01, 0.2045286941806e+02, + 0.1881174408581e-08, 0.6601286363430e+00, 0.2358125818164e+02, + + 0.1368023671690e-08, 0.2211098592752e+01, 0.2473415438279e+02, + 0.1720017916280e-08, 0.4942488551129e+01, 0.1679593901136e+03, + 0.1702427665131e-08, 0.1452233856386e+01, 0.3338575901272e+03, + 0.1414032510054e-08, 0.5525357721439e+01, 0.1624205518357e+03, + 0.1652626045364e-08, 0.4108794283624e+01, 0.8956999012000e+02, + 0.1642957769686e-08, 0.7344335209984e+00, 0.5267006960365e+02, + 0.1614952403624e-08, 0.3541213951363e+01, 0.3332657872986e+02, + 0.1535988291188e-08, 0.4031094072151e+01, 0.3852657435933e+02, + 0.1593193738177e-08, 0.4185136203609e+01, 0.2282781046519e+03, + 0.1074569126382e-08, 0.1720485636868e+01, 0.8397383534231e+02, + + 0.1074408214509e-08, 0.2758613420318e+01, 0.8401985929482e+02, + 0.9700199670465e-09, 0.4216686842097e+01, 0.7826370942180e+02, + 0.1258433517061e-08, 0.2575068876639e+00, 0.3115650189215e+03, + 0.1240303229539e-08, 0.4800844956756e+00, 0.1784300471910e+03, + 0.9018345948127e-09, 0.3896756361552e+00, 0.5886454391678e+02, + 0.1135301432805e-08, 0.3700805023550e+00, 0.7842370451713e+02, + 0.9215887951370e-09, 0.4364579276638e+01, 0.1014262087719e+03, + 0.1055401054147e-08, 0.2156564222111e+01, 0.5660027930059e+02, + 0.1008725979831e-08, 0.5454015785234e+01, 0.4245678405627e+02, + 0.7217398104321e-09, 0.1597772562175e+01, 0.2457074661053e+03, + + 0.6912033134447e-09, 0.5824090621461e+01, 0.1679936946371e+03, + 0.6833881523549e-09, 0.3578778482835e+01, 0.6053048899753e+02, + 0.4887304205142e-09, 0.3724362812423e+01, 0.9656299901946e+02, + 0.5173709754788e-09, 0.5422427507933e+01, 0.2442876000072e+03, + 0.4671353097145e-09, 0.2396106924439e+01, 0.1435713242844e+03, + 0.5652608439480e-09, 0.2804028838685e+01, 0.8365903305582e+02, + 0.5604061331253e-09, 0.1638816006247e+01, 0.8433466158131e+02, + 0.4712723365400e-09, 0.8979003224474e+00, 0.3164282286739e+03, + 0.4909967465112e-09, 0.3210426725516e+01, 0.4059982187939e+03, + 0.4771358267658e-09, 0.5308027211629e+01, 0.1805255418145e+03, + + 0.3943451445989e-09, 0.2195145341074e+01, 0.2568537517081e+03, + 0.3952109120244e-09, 0.5081189491586e+01, 0.2449975330562e+03, + 0.3788134594789e-09, 0.4345171264441e+01, 0.1568131045107e+03, + 0.3738330190479e-09, 0.2613062847997e+01, 0.3948519331910e+03, + 0.3099866678136e-09, 0.2846760817689e+01, 0.1547176098872e+03, + 0.2002962716768e-09, 0.4921360989412e+01, 0.2268582385539e+03, + 0.2198291338754e-09, 0.1130360117454e+00, 0.1658638954901e+03, + 0.1491958330784e-09, 0.4228195232278e+01, 0.2219950288015e+03, + 0.1475384076173e-09, 0.3005721811604e+00, 0.3052819430710e+03, + 0.1661626624624e-09, 0.7830125621203e+00, 0.2526661704812e+03, + + 0.9015823460025e-10, 0.3807792942715e+01, 0.4171445043968e+03 }; + +/* Sun-to-Earth, T^0, Y */ + static const double e0y[] = { + 0.9998921098898e+00, 0.1826583913846e+00, 0.6283075850446e+01, + -0.2442700893735e-01, 0.0000000000000e+00, 0.0000000000000e+00, + 0.8352929742915e-02, 0.1395277998680e+00, 0.1256615170089e+02, + 0.1046697300177e-03, 0.9641423109763e-01, 0.1884922755134e+02, + 0.3110841876663e-04, 0.5381140401712e+01, 0.8399684731857e+02, + 0.2570269094593e-04, 0.5301016407128e+01, 0.5296909721118e+00, + 0.2147389623610e-04, 0.2662510869850e+01, 0.1577343543434e+01, + 0.1680344384050e-04, 0.5207904119704e+01, 0.6279552690824e+01, + 0.1679117312193e-04, 0.4582187486968e+01, 0.6286599010068e+01, + 0.1440512068440e-04, 0.1900688517726e+01, 0.2352866153506e+01, + + 0.1135139664999e-04, 0.5273108538556e+01, 0.5223693906222e+01, + 0.9345482571018e-05, 0.4503047687738e+01, 0.1203646072878e+02, + 0.9007418719568e-05, 0.1605621059637e+01, 0.1021328554739e+02, + 0.5671536712314e-05, 0.5812849070861e+00, 0.1059381944224e+01, + 0.7451401861666e-05, 0.2807346794836e+01, 0.3981490189893e+00, + 0.6393470057114e-05, 0.6029224133855e+01, 0.5753384878334e+01, + 0.6814275881697e-05, 0.6472990145974e+00, 0.4705732307012e+01, + 0.6113705628887e-05, 0.3813843419700e+01, 0.6812766822558e+01, + 0.4503851367273e-05, 0.4527804370996e+01, 0.5884926831456e+01, + 0.4522249141926e-05, 0.5991783029224e+01, 0.6256777527156e+01, + + 0.4501794307018e-05, 0.3798703844397e+01, 0.6309374173736e+01, + 0.5514927480180e-05, 0.3961257833388e+01, 0.5507553240374e+01, + 0.4062862799995e-05, 0.5256247296369e+01, 0.6681224869435e+01, + 0.5414900429712e-05, 0.5499032014097e+01, 0.7755226100720e+00, + 0.5463153987424e-05, 0.6173092454097e+01, 0.1414349524433e+02, + 0.5071611859329e-05, 0.2870244247651e+01, 0.7860419393880e+01, + 0.2195112094455e-05, 0.2952338617201e+01, 0.1150676975667e+02, + 0.2279139233919e-05, 0.5951775132933e+01, 0.7058598460518e+01, + 0.2278386100876e-05, 0.4845456398785e+01, 0.4694002934110e+01, + 0.2559088003308e-05, 0.6945321117311e+00, 0.1216800268190e+02, + + 0.2561079286856e-05, 0.6167224608301e+01, 0.7099330490126e+00, + 0.1792755796387e-05, 0.1400122509632e+01, 0.7962980379786e+00, + 0.1818715656502e-05, 0.4703347611830e+01, 0.6283142985870e+01, + 0.1818744924791e-05, 0.5086748900237e+01, 0.6283008715021e+01, + 0.1554518791390e-05, 0.5331008042713e-01, 0.2513230340178e+02, + 0.2063265737239e-05, 0.4283680484178e+01, 0.1179062909082e+02, + 0.1497613520041e-05, 0.6074207826073e+01, 0.5486777812467e+01, + 0.2000617940427e-05, 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0.3363255261678e+01, 0.2666070658668e+00, + 0.2292699097923e-08, 0.4200423956460e+00, 0.1484170571900e-02, + 0.1629683015329e-08, 0.2331362582487e+01, 0.3035599730800e+02, + 0.2206492862426e-08, 0.3400274026992e+01, 0.6281667977667e+01, + 0.2205746568257e-08, 0.1066051230724e+00, 0.6284483723224e+01, + 0.2026310767991e-08, 0.2779066487979e+01, 0.2449240616245e+02, + 0.1762977622163e-08, 0.9951450691840e+00, 0.2045286941806e+02, + 0.1368535049606e-08, 0.6402447365817e+00, 0.2473415438279e+02, + 0.1720598775450e-08, 0.2303524214705e+00, 0.1679593901136e+03, + + 0.1702429015449e-08, 0.6164622655048e+01, 0.3338575901272e+03, + 0.1414033197685e-08, 0.3954561185580e+01, 0.1624205518357e+03, + 0.1573768958043e-08, 0.2028286308984e+01, 0.3144167757552e+02, + 0.1650705184447e-08, 0.2304040666128e+01, 0.5267006960365e+02, + 0.1651087618855e-08, 0.2538461057280e+01, 0.8956999012000e+02, + 0.1616409518983e-08, 0.5111054348152e+01, 0.3332657872986e+02, + 0.1537175173581e-08, 0.5601130666603e+01, 0.3852657435933e+02, + 0.1593191980553e-08, 0.2614340453411e+01, 0.2282781046519e+03, + 0.1499480170643e-08, 0.3624721577264e+01, 0.2823723341956e+02, + 0.1493807843235e-08, 0.4214569879008e+01, 0.2876692439167e+02, + + 0.1074571199328e-08, 0.1496911744704e+00, 0.8397383534231e+02, + 0.1074406983417e-08, 0.1187817671922e+01, 0.8401985929482e+02, + 0.9757576855851e-09, 0.2655703035858e+01, 0.7826370942180e+02, + 0.1258432887565e-08, 0.4969896184844e+01, 0.3115650189215e+03, + 0.1240336343282e-08, 0.5192460776926e+01, 0.1784300471910e+03, + 0.9016107005164e-09, 0.1960356923057e+01, 0.5886454391678e+02, + 0.1135392360918e-08, 0.5082427809068e+01, 0.7842370451713e+02, + 0.9216046089565e-09, 0.2793775037273e+01, 0.1014262087719e+03, + 0.1061276615030e-08, 0.3726144311409e+01, 0.5660027930059e+02, + 0.1010110596263e-08, 0.7404080708937e+00, 0.4245678405627e+02, + + 0.7217424756199e-09, 0.2697449980577e-01, 0.2457074661053e+03, + 0.6912003846756e-09, 0.4253296276335e+01, 0.1679936946371e+03, + 0.6871814664847e-09, 0.5148072412354e+01, 0.6053048899753e+02, + 0.4887158016343e-09, 0.2153581148294e+01, 0.9656299901946e+02, + 0.5161802866314e-09, 0.3852750634351e+01, 0.2442876000072e+03, + 0.5652599559057e-09, 0.1233233356270e+01, 0.8365903305582e+02, + 0.4710812608586e-09, 0.5610486976767e+01, 0.3164282286739e+03, + 0.4909977500324e-09, 0.1639629524123e+01, 0.4059982187939e+03, + 0.4772641839378e-09, 0.3737100368583e+01, 0.1805255418145e+03, + 0.4487562567153e-09, 0.1158417054478e+00, 0.8433466158131e+02, + + 0.3943441230497e-09, 0.6243502862796e+00, 0.2568537517081e+03, + 0.3952236913598e-09, 0.3510377382385e+01, 0.2449975330562e+03, + 0.3788898363417e-09, 0.5916128302299e+01, 0.1568131045107e+03, + 0.3738329328831e-09, 0.1042266763456e+01, 0.3948519331910e+03, + 0.2451199165151e-09, 0.1166788435700e+01, 0.1435713242844e+03, + 0.2436734402904e-09, 0.3254726114901e+01, 0.2268582385539e+03, + 0.2213605274325e-09, 0.1687210598530e+01, 0.1658638954901e+03, + 0.1491521204829e-09, 0.2657541786794e+01, 0.2219950288015e+03, + 0.1474995329744e-09, 0.5013089805819e+01, 0.3052819430710e+03, + 0.1661939475656e-09, 0.5495315428418e+01, 0.2526661704812e+03, + + 0.9015946748003e-10, 0.2236989966505e+01, 0.4171445043968e+03 }; + +/* Sun-to-Earth, T^0, Z */ + static const double e0z[] = { + 0.2796207639075e-05, 0.3198701560209e+01, 0.8433466158131e+02, + 0.1016042198142e-05, 0.5422360395913e+01, 0.5507553240374e+01, + 0.8044305033647e-06, 0.3880222866652e+01, 0.5223693906222e+01, + 0.4385347909274e-06, 0.3704369937468e+01, 0.2352866153506e+01, + 0.3186156414906e-06, 0.3999639363235e+01, 0.1577343543434e+01, + 0.2272412285792e-06, 0.3984738315952e+01, 0.1047747311755e+01, + 0.1645620103007e-06, 0.3565412516841e+01, 0.5856477690889e+01, + 0.1815836921166e-06, 0.4984507059020e+01, 0.6283075850446e+01, + 0.1447461676364e-06, 0.3702753570108e+01, 0.9437762937313e+01, + 0.1430760876382e-06, 0.3409658712357e+01, 0.1021328554739e+02, + + 0.1120445753226e-06, 0.4829561570246e+01, 0.1414349524433e+02, + 0.1090232840797e-06, 0.2080729178066e+01, 0.6812766822558e+01, + 0.9715727346551e-07, 0.3476295881948e+01, 0.4694002934110e+01, + 0.1036267136217e-06, 0.4056639536648e+01, 0.7109288135493e+02, + 0.8752665271340e-07, 0.4448159519911e+01, 0.5753384878334e+01, + 0.8331864956004e-07, 0.4991704044208e+01, 0.7084896783808e+01, + 0.6901658670245e-07, 0.4325358994219e+01, 0.6275962395778e+01, + 0.9144536848998e-07, 0.1141826375363e+01, 0.6620890113188e+01, + 0.7205085037435e-07, 0.3624344170143e+01, 0.5296909721118e+00, + 0.7697874654176e-07, 0.5554257458998e+01, 0.1676215758509e+03, + + 0.5197545738384e-07, 0.6251760961735e+01, 0.1807370494127e+02, + 0.5031345378608e-07, 0.2497341091913e+01, 0.4705732307012e+01, + 0.4527110205840e-07, 0.2335079920992e+01, 0.6309374173736e+01, + 0.4753355798089e-07, 0.7094148987474e+00, 0.5884926831456e+01, + 0.4296951977516e-07, 0.1101916352091e+01, 0.6681224869435e+01, + 0.3855341568387e-07, 0.1825495405486e+01, 0.5486777812467e+01, + 0.5253930970990e-07, 0.4424740687208e+01, 0.7860419393880e+01, + 0.4024630496471e-07, 0.5120498157053e+01, 0.1336797263425e+02, + 0.4061069791453e-07, 0.6029771435451e+01, 0.3930209696940e+01, + 0.3797883804205e-07, 0.4435193600836e+00, 0.3154687086868e+01, + + 0.2933033225587e-07, 0.5124157356507e+01, 0.1059381944224e+01, + 0.3503000930426e-07, 0.5421830162065e+01, 0.6069776770667e+01, + 0.3670096214050e-07, 0.4582101667297e+01, 0.1219403291462e+02, + 0.2905609437008e-07, 0.1926566420072e+01, 0.1097707878456e+02, + 0.2466827821713e-07, 0.6090174539834e+00, 0.6496374930224e+01, + 0.2691647295332e-07, 0.1393432595077e+01, 0.2200391463820e+02, + 0.2150554667946e-07, 0.4308671715951e+01, 0.5643178611111e+01, + 0.2237481922680e-07, 0.8133968269414e+00, 0.8635942003952e+01, + 0.1817741038157e-07, 0.3755205127454e+01, 0.3340612434717e+01, + 0.2227820762132e-07, 0.2759558596664e+01, 0.1203646072878e+02, + + 0.1944713772307e-07, 0.5699645869121e+01, 0.1179062909082e+02, + 0.1527340520662e-07, 0.1986749091746e+01, 0.3981490189893e+00, + 0.1577282574914e-07, 0.3205017217983e+01, 0.5088628793478e+01, + 0.1424738825424e-07, 0.6256747903666e+01, 0.2544314396739e+01, + 0.1616563121701e-07, 0.2601671259394e+00, 0.1729818233119e+02, + 0.1401210391692e-07, 0.4686939173506e+01, 0.7058598460518e+01, + 0.1488726974214e-07, 0.2815862451372e+01, 0.2593412433514e+02, + 0.1692626442388e-07, 0.4956894109797e+01, 0.1564752902480e+03, + 0.1123571582910e-07, 0.2381192697696e+01, 0.3738761453707e+01, + 0.9903308606317e-08, 0.4294851657684e+01, 0.9225539266174e+01, + + 0.9174533187191e-08, 0.3075171510642e+01, 0.4164311961999e+01, + 0.8645985631457e-08, 0.5477534821633e+00, 0.8429241228195e+01, + -0.1085876492688e-07, 0.0000000000000e+00, 0.0000000000000e+00, + 0.9264309077815e-08, 0.5968571670097e+01, 0.7079373888424e+01, + 0.8243116984954e-08, 0.1489098777643e+01, 0.1044738781244e+02, + 0.8268102113708e-08, 0.3512977691983e+01, 0.1150676975667e+02, + 0.9043613988227e-08, 0.1290704408221e+00, 0.1101510648075e+02, + 0.7432912038789e-08, 0.1991086893337e+01, 0.2608790314060e+02, + 0.8586233727285e-08, 0.4238357924414e+01, 0.2986433403208e+02, + 0.7612230060131e-08, 0.2911090150166e+01, 0.4732030630302e+01, + + 0.7097787751408e-08, 0.1908938392390e+01, 0.8031092209206e+01, + 0.7640237040175e-08, 0.6129219000168e+00, 0.7962980379786e+00, + 0.7070445688081e-08, 0.1380417036651e+01, 0.2146165377750e+01, + 0.7690770957702e-08, 0.1680504249084e+01, 0.2122839202813e+02, + 0.8051292542594e-08, 0.5127423484511e+01, 0.2942463415728e+01, + 0.5902709104515e-08, 0.2020274190917e+01, 0.7755226100720e+00, + 0.5134567496462e-08, 0.2606778676418e+01, 0.1256615170089e+02, + 0.5525802046102e-08, 0.1613011769663e+01, 0.8018209333619e+00, + 0.5880724784221e-08, 0.4604483417236e+01, 0.4690479774488e+01, + 0.5211699081370e-08, 0.5718964114193e+01, 0.8827390247185e+01, + + 0.4891849573562e-08, 0.3689658932196e+01, 0.2132990797783e+00, + 0.5150246069997e-08, 0.4099769855122e+01, 0.6480980550449e+02, + 0.5102434319633e-08, 0.5660834602509e+01, 0.3379454372902e+02, + 0.5083405254252e-08, 0.9842221218974e+00, 0.4136910472696e+01, + 0.4206562585682e-08, 0.1341363634163e+00, 0.3128388763578e+01, + 0.4663249683579e-08, 0.8130132735866e+00, 0.5216580451554e+01, + 0.4099474416530e-08, 0.5791497770644e+01, 0.4265981595566e+00, + 0.4628251220767e-08, 0.1249802769331e+01, 0.1572083878776e+02, + 0.5024068728142e-08, 0.4795684802743e+01, 0.6290189305114e+01, + 0.5120234327758e-08, 0.3810420387208e+01, 0.5230807360890e+01, + + 0.5524029815280e-08, 0.1029264714351e+01, 0.2397622045175e+03, + 0.4757415718860e-08, 0.3528044781779e+01, 0.1649636139783e+02, + 0.3915786131127e-08, 0.5593889282646e+01, 0.1589072916335e+01, + 0.4869053149991e-08, 0.3299636454433e+01, 0.7632943190217e+01, + 0.3649365703729e-08, 0.1286049002584e+01, 0.6206810014183e+01, + 0.3992493949002e-08, 0.3100307589464e+01, 0.2515860172507e+02, + 0.3320247477418e-08, 0.6212683940807e+01, 0.1216800268190e+02, + 0.3287123739696e-08, 0.4699118445928e+01, 0.7234794171227e+01, + 0.3472776811103e-08, 0.2630507142004e+01, 0.7342457794669e+01, + 0.3423253294767e-08, 0.2946432844305e+01, 0.9623688285163e+01, + + 0.3896173898244e-08, 0.1224834179264e+01, 0.6438496133249e+01, + 0.3388455337924e-08, 0.1543807616351e+01, 0.1494531617769e+02, + 0.3062704716523e-08, 0.1191777572310e+01, 0.8662240327241e+01, + 0.3270075600400e-08, 0.5483498767737e+01, 0.1194447056968e+01, + 0.3101209215259e-08, 0.8000833804348e+00, 0.3772475342596e+02, + 0.2780883347311e-08, 0.4077980721888e+00, 0.5863591145557e+01, + 0.2903605931824e-08, 0.2617490302147e+01, 0.1965104848470e+02, + 0.2682014743119e-08, 0.2634703158290e+01, 0.7238675589263e+01, + 0.2534360108492e-08, 0.6102446114873e+01, 0.6836645152238e+01, + 0.2392564882509e-08, 0.3681820208691e+01, 0.5849364236221e+01, + + 0.2656667254856e-08, 0.6216045388886e+01, 0.6133512519065e+01, + 0.2331242096773e-08, 0.5864949777744e+01, 0.4535059491685e+01, + 0.2287898363668e-08, 0.4566628532802e+01, 0.7477522907414e+01, + 0.2336944521306e-08, 0.2442722126930e+01, 0.1137170464392e+02, + 0.3156632236269e-08, 0.1626628050682e+01, 0.2509084901204e+03, + 0.2982612402766e-08, 0.2803604512609e+01, 0.1748016358760e+01, + 0.2774031674807e-08, 0.4654002897158e+01, 0.8223916695780e+02, + 0.2295236548638e-08, 0.4326518333253e+01, 0.3378142627421e+00, + 0.2190714699873e-08, 0.4519614578328e+01, 0.2908881142201e+02, + 0.2191495845045e-08, 0.3012626912549e+01, 0.1673046366289e+02, + + 0.2492901628386e-08, 0.1290101424052e+00, 0.1543797956245e+03, + 0.1993778064319e-08, 0.3864046799414e+01, 0.1778984560711e+02, + 0.1898146479022e-08, 0.5053777235891e+01, 0.2042657109477e+02, + 0.1918280127634e-08, 0.2222470192548e+01, 0.4165496312290e+02, + 0.1916351061607e-08, 0.8719067257774e+00, 0.7737595720538e+02, + 0.1834720181466e-08, 0.4031491098040e+01, 0.2358125818164e+02, + 0.1249201523806e-08, 0.5938379466835e+01, 0.3301902111895e+02, + 0.1477304050539e-08, 0.6544722606797e+00, 0.9548094718417e+02, + 0.1264316431249e-08, 0.2059072853236e+01, 0.8399684731857e+02, + 0.1203526495039e-08, 0.3644813532605e+01, 0.4558517281984e+02, + + 0.9221681059831e-09, 0.3241815055602e+01, 0.7805158573086e+02, + 0.7849278367646e-09, 0.5043812342457e+01, 0.5217580628120e+02, + 0.7983392077387e-09, 0.5000024502753e+01, 0.1501922143975e+03, + 0.7925395431654e-09, 0.1398734871821e-01, 0.9061773743175e+02, + 0.7640473285886e-09, 0.5067111723130e+01, 0.4951538251678e+02, + 0.5398937754482e-09, 0.5597382200075e+01, 0.1613385000004e+03, + 0.5626247550193e-09, 0.2601338209422e+01, 0.7318837597844e+02, + 0.5525197197855e-09, 0.5814832109256e+01, 0.1432335100216e+03, + 0.5407629837898e-09, 0.3384820609076e+01, 0.3230491187871e+03, + 0.3856739119801e-09, 0.1072391840473e+01, 0.2334791286671e+03, + + 0.3856425239987e-09, 0.2369540393327e+01, 0.1739046517013e+03, + 0.4350867755983e-09, 0.5255575751082e+01, 0.1620484330494e+03, + 0.3844113924996e-09, 0.5482356246182e+01, 0.9757644180768e+02, + 0.2854869155431e-09, 0.9573634763143e+00, 0.1697170704744e+03, + 0.1719227671416e-09, 0.1887203025202e+01, 0.2265204242912e+03, + 0.1527846879755e-09, 0.3982183931157e+01, 0.3341954043900e+03, + 0.1128229264847e-09, 0.2787457156298e+01, 0.3119028331842e+03 }; + +/* Sun-to-Earth, T^1, X */ + static const double e1x[] = { + 0.1234046326004e-05, 0.0000000000000e+00, 0.0000000000000e+00, + 0.5150068824701e-06, 0.6002664557501e+01, 0.1256615170089e+02, + 0.1290743923245e-07, 0.5959437664199e+01, 0.1884922755134e+02, + 0.1068615564952e-07, 0.2015529654209e+01, 0.6283075850446e+01, + 0.2079619142538e-08, 0.1732960531432e+01, 0.6279552690824e+01, + 0.2078009243969e-08, 0.4915604476996e+01, 0.6286599010068e+01, + 0.6206330058856e-09, 0.3616457953824e+00, 0.4705732307012e+01, + 0.5989335313746e-09, 0.3802607304474e+01, 0.6256777527156e+01, + 0.5958495663840e-09, 0.2845866560031e+01, 0.6309374173736e+01, + 0.4866923261539e-09, 0.5213203771824e+01, 0.7755226100720e+00, + + 0.4267785823142e-09, 0.4368189727818e+00, 0.1059381944224e+01, + 0.4610675141648e-09, 0.1837249181372e-01, 0.7860419393880e+01, + 0.3626989993973e-09, 0.2161590545326e+01, 0.5753384878334e+01, + 0.3563071194389e-09, 0.1452631954746e+01, 0.5884926831456e+01, + 0.3557015642807e-09, 0.4470593393054e+01, 0.6812766822558e+01, + 0.3210412089122e-09, 0.5195926078314e+01, 0.6681224869435e+01, + 0.2875473577986e-09, 0.5916256610193e+01, 0.2513230340178e+02, + 0.2842913681629e-09, 0.1149902426047e+01, 0.6127655567643e+01, + 0.2751248215916e-09, 0.5502088574662e+01, 0.6438496133249e+01, + 0.2481432881127e-09, 0.2921989846637e+01, 0.5486777812467e+01, + + 0.2059885976560e-09, 0.3718070376585e+01, 0.7079373888424e+01, + 0.2015522342591e-09, 0.5979395259740e+01, 0.6290189305114e+01, + 0.1995364084253e-09, 0.6772087985494e+00, 0.6275962395778e+01, + 0.1957436436943e-09, 0.2899210654665e+01, 0.5507553240374e+01, + 0.1651609818948e-09, 0.6228206482192e+01, 0.1150676975667e+02, + 0.1822980550699e-09, 0.1469348746179e+01, 0.1179062909082e+02, + 0.1675223159760e-09, 0.3813910555688e+01, 0.7058598460518e+01, + 0.1706491764745e-09, 0.3004380506684e+00, 0.7113454667900e-02, + 0.1392952362615e-09, 0.1440393973406e+01, 0.7962980379786e+00, + 0.1209868266342e-09, 0.4150425791727e+01, 0.4694002934110e+01, + + 0.1009827202611e-09, 0.3290040429843e+01, 0.3738761453707e+01, + 0.1047261388602e-09, 0.4229590090227e+01, 0.6282095334605e+01, + 0.1047006652004e-09, 0.2418967680575e+01, 0.6284056366286e+01, + 0.9609993143095e-10, 0.4627943659201e+01, 0.6069776770667e+01, + 0.9590900593873e-10, 0.1894393939924e+01, 0.4136910472696e+01, + 0.9146249188071e-10, 0.2010647519562e+01, 0.6496374930224e+01, + 0.8545274480290e-10, 0.5529846956226e-01, 0.1194447056968e+01, + 0.8224377881194e-10, 0.1254304102174e+01, 0.1589072916335e+01, + 0.6183529510410e-10, 0.3360862168815e+01, 0.8827390247185e+01, + 0.6259255147141e-10, 0.4755628243179e+01, 0.8429241228195e+01, + + 0.5539291694151e-10, 0.5371746955142e+01, 0.4933208510675e+01, + 0.7328259466314e-10, 0.4927699613906e+00, 0.4535059491685e+01, + 0.6017835843560e-10, 0.5776682001734e-01, 0.1255903824622e+02, + 0.7079827775243e-10, 0.4395059432251e+01, 0.5088628793478e+01, + 0.5170358878213e-10, 0.5154062619954e+01, 0.1176985366291e+02, + 0.4872301838682e-10, 0.6289611648973e+00, 0.6040347114260e+01, + 0.5249869411058e-10, 0.5617272046949e+01, 0.3154687086868e+01, + 0.4716172354411e-10, 0.3965901800877e+01, 0.5331357529664e+01, + 0.4871214940964e-10, 0.4627507050093e+01, 0.1256967486051e+02, + 0.4598076850751e-10, 0.6023631226459e+01, 0.6525804586632e+01, + + 0.4562196089485e-10, 0.4138562084068e+01, 0.3930209696940e+01, + 0.4325493872224e-10, 0.1330845906564e+01, 0.7632943190217e+01, + 0.5673781176748e-10, 0.2558752615657e+01, 0.5729506548653e+01, + 0.3961436642503e-10, 0.2728071734630e+01, 0.7234794171227e+01, + 0.5101868209058e-10, 0.4113444965144e+01, 0.6836645152238e+01, + 0.5257043167676e-10, 0.6195089830590e+01, 0.8031092209206e+01, + 0.5076613989393e-10, 0.2305124132918e+01, 0.7477522907414e+01, + 0.3342169352778e-10, 0.5415998155071e+01, 0.1097707878456e+02, + 0.3545881983591e-10, 0.3727160564574e+01, 0.4164311961999e+01, + 0.3364063738599e-10, 0.2901121049204e+00, 0.1137170464392e+02, + + 0.3357039670776e-10, 0.1652229354331e+01, 0.5223693906222e+01, + 0.4307412268687e-10, 0.4938909587445e+01, 0.1592596075957e+01, + 0.3405769115435e-10, 0.2408890766511e+01, 0.3128388763578e+01, + 0.3001926198480e-10, 0.4862239006386e+01, 0.1748016358760e+01, + 0.2778264787325e-10, 0.5241168661353e+01, 0.7342457794669e+01, + 0.2676159480666e-10, 0.3423593942199e+01, 0.2146165377750e+01, + 0.2954273399939e-10, 0.1881721265406e+01, 0.5368044267797e+00, + 0.3309362888795e-10, 0.1931525677349e+01, 0.8018209333619e+00, + 0.2810283608438e-10, 0.2414659495050e+01, 0.5225775174439e+00, + 0.3378045637764e-10, 0.4238019163430e+01, 0.1554202828031e+00, + + 0.2558134979840e-10, 0.1828225235805e+01, 0.5230807360890e+01, + 0.2273755578447e-10, 0.5858184283998e+01, 0.7084896783808e+01, + 0.2294176037690e-10, 0.4514589779057e+01, 0.1726015463500e+02, + 0.2533506099435e-10, 0.2355717851551e+01, 0.5216580451554e+01, + 0.2716685375812e-10, 0.2221003625100e+01, 0.8635942003952e+01, + 0.2419043435198e-10, 0.5955704951635e+01, 0.4690479774488e+01, + 0.2521232544812e-10, 0.1395676848521e+01, 0.5481254917084e+01, + 0.2630195021491e-10, 0.5727468918743e+01, 0.2629832328990e-01, + 0.2548395840944e-10, 0.2628351859400e-03, 0.1349867339771e+01 }; + +/* Sun-to-Earth, T^1, Y */ + static const double e1y[] = { + 0.9304690546528e-06, 0.0000000000000e+00, 0.0000000000000e+00, + 0.5150715570663e-06, 0.4431807116294e+01, 0.1256615170089e+02, + 0.1290825411056e-07, 0.4388610039678e+01, 0.1884922755134e+02, + 0.4645466665386e-08, 0.5827263376034e+01, 0.6283075850446e+01, + 0.2079625310718e-08, 0.1621698662282e+00, 0.6279552690824e+01, + 0.2078189850907e-08, 0.3344713435140e+01, 0.6286599010068e+01, + 0.6207190138027e-09, 0.5074049319576e+01, 0.4705732307012e+01, + 0.5989826532569e-09, 0.2231842216620e+01, 0.6256777527156e+01, + 0.5961360812618e-09, 0.1274975769045e+01, 0.6309374173736e+01, + 0.4874165471016e-09, 0.3642277426779e+01, 0.7755226100720e+00, + + 0.4283834034360e-09, 0.5148765510106e+01, 0.1059381944224e+01, + 0.4652389287529e-09, 0.4715794792175e+01, 0.7860419393880e+01, + 0.3751707476401e-09, 0.6617207370325e+00, 0.5753384878334e+01, + 0.3559998806198e-09, 0.6155548875404e+01, 0.5884926831456e+01, + 0.3558447558857e-09, 0.2898827297664e+01, 0.6812766822558e+01, + 0.3211116927106e-09, 0.3625813502509e+01, 0.6681224869435e+01, + 0.2875609914672e-09, 0.4345435813134e+01, 0.2513230340178e+02, + 0.2843109704069e-09, 0.5862263940038e+01, 0.6127655567643e+01, + 0.2744676468427e-09, 0.3926419475089e+01, 0.6438496133249e+01, + 0.2481285237789e-09, 0.1351976572828e+01, 0.5486777812467e+01, + + 0.2060338481033e-09, 0.2147556998591e+01, 0.7079373888424e+01, + 0.2015822358331e-09, 0.4408358972216e+01, 0.6290189305114e+01, + 0.2001195944195e-09, 0.5385829822531e+01, 0.6275962395778e+01, + 0.1953667642377e-09, 0.1304933746120e+01, 0.5507553240374e+01, + 0.1839744078713e-09, 0.6173567228835e+01, 0.1179062909082e+02, + 0.1643334294845e-09, 0.4635942997523e+01, 0.1150676975667e+02, + 0.1768051018652e-09, 0.5086283558874e+01, 0.7113454667900e-02, + 0.1674874205489e-09, 0.2243332137241e+01, 0.7058598460518e+01, + 0.1421445397609e-09, 0.6186899771515e+01, 0.7962980379786e+00, + 0.1255163958267e-09, 0.5730238465658e+01, 0.4694002934110e+01, + + 0.1013945281961e-09, 0.1726055228402e+01, 0.3738761453707e+01, + 0.1047294335852e-09, 0.2658801228129e+01, 0.6282095334605e+01, + 0.1047103879392e-09, 0.8481047835035e+00, 0.6284056366286e+01, + 0.9530343962826e-10, 0.3079267149859e+01, 0.6069776770667e+01, + 0.9604637611690e-10, 0.3258679792918e+00, 0.4136910472696e+01, + 0.9153518537177e-10, 0.4398599886584e+00, 0.6496374930224e+01, + 0.8562458214922e-10, 0.4772686794145e+01, 0.1194447056968e+01, + 0.8232525360654e-10, 0.5966220721679e+01, 0.1589072916335e+01, + 0.6150223411438e-10, 0.1780985591923e+01, 0.8827390247185e+01, + 0.6272087858000e-10, 0.3184305429012e+01, 0.8429241228195e+01, + + 0.5540476311040e-10, 0.3801260595433e+01, 0.4933208510675e+01, + 0.7331901699361e-10, 0.5205948591865e+01, 0.4535059491685e+01, + 0.6018528702791e-10, 0.4770139083623e+01, 0.1255903824622e+02, + 0.5150530724804e-10, 0.3574796899585e+01, 0.1176985366291e+02, + 0.6471933741811e-10, 0.2679787266521e+01, 0.5088628793478e+01, + 0.5317460644174e-10, 0.9528763345494e+00, 0.3154687086868e+01, + 0.4832187748783e-10, 0.5329322498232e+01, 0.6040347114260e+01, + 0.4716763555110e-10, 0.2395235316466e+01, 0.5331357529664e+01, + 0.4871509139861e-10, 0.3056663648823e+01, 0.1256967486051e+02, + 0.4598417696768e-10, 0.4452762609019e+01, 0.6525804586632e+01, + + 0.5674189533175e-10, 0.9879680872193e+00, 0.5729506548653e+01, + 0.4073560328195e-10, 0.5939127696986e+01, 0.7632943190217e+01, + 0.5040994945359e-10, 0.4549875824510e+01, 0.8031092209206e+01, + 0.5078185134679e-10, 0.7346659893982e+00, 0.7477522907414e+01, + 0.3769343537061e-10, 0.1071317188367e+01, 0.7234794171227e+01, + 0.4980331365299e-10, 0.2500345341784e+01, 0.6836645152238e+01, + 0.3458236594757e-10, 0.3825159450711e+01, 0.1097707878456e+02, + 0.3578859493602e-10, 0.5299664791549e+01, 0.4164311961999e+01, + 0.3370504646419e-10, 0.5002316301593e+01, 0.1137170464392e+02, + 0.3299873338428e-10, 0.2526123275282e+01, 0.3930209696940e+01, + + 0.4304917318409e-10, 0.3368078557132e+01, 0.1592596075957e+01, + 0.3402418753455e-10, 0.8385495425800e+00, 0.3128388763578e+01, + 0.2778460572146e-10, 0.3669905203240e+01, 0.7342457794669e+01, + 0.2782710128902e-10, 0.2691664812170e+00, 0.1748016358760e+01, + 0.2711725179646e-10, 0.4707487217718e+01, 0.5296909721118e+00, + 0.2981760946340e-10, 0.3190260867816e+00, 0.5368044267797e+00, + 0.2811672977772e-10, 0.3196532315372e+01, 0.7084896783808e+01, + 0.2863454474467e-10, 0.2263240324780e+00, 0.5223693906222e+01, + 0.3333464634051e-10, 0.3498451685065e+01, 0.8018209333619e+00, + 0.3312991747609e-10, 0.5839154477412e+01, 0.1554202828031e+00, + + 0.2813255564006e-10, 0.8268044346621e+00, 0.5225775174439e+00, + 0.2665098083966e-10, 0.3934021725360e+01, 0.5216580451554e+01, + 0.2349795705216e-10, 0.5197620913779e+01, 0.2146165377750e+01, + 0.2330352293961e-10, 0.2984999231807e+01, 0.1726015463500e+02, + 0.2728001683419e-10, 0.6521679638544e+00, 0.8635942003952e+01, + 0.2484061007669e-10, 0.3468955561097e+01, 0.5230807360890e+01, + 0.2646328768427e-10, 0.1013724533516e+01, 0.2629832328990e-01, + 0.2518630264831e-10, 0.6108081057122e+01, 0.5481254917084e+01, + 0.2421901455384e-10, 0.1651097776260e+01, 0.1349867339771e+01, + 0.6348533267831e-11, 0.3220226560321e+01, 0.8433466158131e+02 }; + +/* Sun-to-Earth, T^1, Z */ + static const double e1z[] = { + 0.2278290449966e-05, 0.3413716033863e+01, 0.6283075850446e+01, + 0.5429458209830e-07, 0.0000000000000e+00, 0.0000000000000e+00, + 0.1903240492525e-07, 0.3370592358297e+01, 0.1256615170089e+02, + 0.2385409276743e-09, 0.3327914718416e+01, 0.1884922755134e+02, + 0.8676928342573e-10, 0.1824006811264e+01, 0.5223693906222e+01, + 0.7765442593544e-10, 0.3888564279247e+01, 0.5507553240374e+01, + 0.7066158332715e-10, 0.5194267231944e+01, 0.2352866153506e+01, + 0.7092175288657e-10, 0.2333246960021e+01, 0.8399684731857e+02, + 0.5357582213535e-10, 0.2224031176619e+01, 0.5296909721118e+00, + 0.3828035865021e-10, 0.2156710933584e+01, 0.6279552690824e+01, + + 0.3824857220427e-10, 0.1529755219915e+01, 0.6286599010068e+01, + 0.3286995181628e-10, 0.4879512900483e+01, 0.1021328554739e+02 }; + +/* Sun-to-Earth, T^2, X */ + static const double e2x[] = { + -0.4143818297913e-10, 0.0000000000000e+00, 0.0000000000000e+00, + 0.2171497694435e-10, 0.4398225628264e+01, 0.1256615170089e+02, + 0.9845398442516e-11, 0.2079720838384e+00, 0.6283075850446e+01, + 0.9256833552682e-12, 0.4191264694361e+01, 0.1884922755134e+02, + 0.1022049384115e-12, 0.5381133195658e+01, 0.8399684731857e+02 }; + +/* Sun-to-Earth, T^2, Y */ + static const double e2y[] = { + 0.5063375872532e-10, 0.0000000000000e+00, 0.0000000000000e+00, + 0.2173815785980e-10, 0.2827805833053e+01, 0.1256615170089e+02, + 0.1010231999920e-10, 0.4634612377133e+01, 0.6283075850446e+01, + 0.9259745317636e-12, 0.2620612076189e+01, 0.1884922755134e+02, + 0.1022202095812e-12, 0.3809562326066e+01, 0.8399684731857e+02 }; + +/* Sun-to-Earth, T^2, Z */ + static const double e2z[] = { + 0.9722666114891e-10, 0.5152219582658e+01, 0.6283075850446e+01, + -0.3494819171909e-11, 0.0000000000000e+00, 0.0000000000000e+00, + 0.6713034376076e-12, 0.6440188750495e+00, 0.1256615170089e+02 }; + +/* SSB-to-Sun, T^0, X */ + static const double s0x[] = { + 0.4956757536410e-02, 0.3741073751789e+01, 0.5296909721118e+00, + 0.2718490072522e-02, 0.4016011511425e+01, 0.2132990797783e+00, + 0.1546493974344e-02, 0.2170528330642e+01, 0.3813291813120e-01, + 0.8366855276341e-03, 0.2339614075294e+01, 0.7478166569050e-01, + 0.2936777942117e-03, 0.0000000000000e+00, 0.0000000000000e+00, + 0.1201317439469e-03, 0.4090736353305e+01, 0.1059381944224e+01, + 0.7578550887230e-04, 0.3241518088140e+01, 0.4265981595566e+00, + 0.1941787367773e-04, 0.1012202064330e+01, 0.2061856251104e+00, + 0.1889227765991e-04, 0.3892520416440e+01, 0.2204125344462e+00, + 0.1937896968613e-04, 0.4797779441161e+01, 0.1495633313810e+00, + + 0.1434506110873e-04, 0.3868960697933e+01, 0.5225775174439e+00, + 0.1406659911580e-04, 0.4759766557397e+00, 0.5368044267797e+00, + 0.1179022300202e-04, 0.7774961520598e+00, 0.7626583626240e-01, + 0.8085864460959e-05, 0.3254654471465e+01, 0.3664874755930e-01, + 0.7622752967615e-05, 0.4227633103489e+01, 0.3961708870310e-01, + 0.6209171139066e-05, 0.2791828325711e+00, 0.7329749511860e-01, + 0.4366435633970e-05, 0.4440454875925e+01, 0.1589072916335e+01, + 0.3792124889348e-05, 0.5156393842356e+01, 0.7113454667900e-02, + 0.3154548963402e-05, 0.6157005730093e+01, 0.4194847048887e+00, + 0.3088359882942e-05, 0.2494567553163e+01, 0.6398972393349e+00, + + 0.2788440902136e-05, 0.4934318747989e+01, 0.1102062672231e+00, + 0.3039928456376e-05, 0.4895077702640e+01, 0.6283075850446e+01, + 0.2272258457679e-05, 0.5278394064764e+01, 0.1030928125552e+00, + 0.2162007057957e-05, 0.5802978019099e+01, 0.3163918923335e+00, + 0.1767632855737e-05, 0.3415346595193e-01, 0.1021328554739e+02, + 0.1349413459362e-05, 0.2001643230755e+01, 0.1484170571900e-02, + 0.1170141900476e-05, 0.2424750491620e+01, 0.6327837846670e+00, + 0.1054355266820e-05, 0.3123311487576e+01, 0.4337116142245e+00, + 0.9800822461610e-06, 0.3026258088130e+01, 0.1052268489556e+01, + 0.1091203749931e-05, 0.3157811670347e+01, 0.1162474756779e+01, + + 0.6960236715913e-06, 0.8219570542313e+00, 0.1066495398892e+01, + 0.5689257296909e-06, 0.1323052375236e+01, 0.9491756770005e+00, + 0.6613172135802e-06, 0.2765348881598e+00, 0.8460828644453e+00, + 0.6277702517571e-06, 0.5794064466382e+01, 0.1480791608091e+00, + 0.6304884066699e-06, 0.7323555380787e+00, 0.2243449970715e+00, + 0.4897850467382e-06, 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0.2976424921901e+00, + 0.2635672326810e-08, 0.3814366984117e+01, 0.1485980103780e+01, + + 0.3649302697001e-08, 0.2924200596084e+01, 0.6044726378023e+00, + 0.3127954585895e-08, 0.1842251648327e+01, 0.1084620721060e+00, + 0.2616040173947e-08, 0.4155841921984e+01, 0.1258454114666e+01, + 0.2597395859860e-08, 0.1158045978874e+00, 0.2103781122809e+00, + 0.2593286172210e-08, 0.4771850408691e+01, 0.2162200472757e+00, + 0.2481823585747e-08, 0.4608842558889e+00, 0.1062562936266e+01, + 0.2742219550725e-08, 0.1538781127028e+01, 0.5651155736444e+00, + 0.3199558469610e-08, 0.3226647822878e+00, 0.7036329877322e+00, + 0.2666088542957e-08, 0.1967991731219e+00, 0.1400015846597e+00, + 0.2397067430580e-08, 0.3707036669873e+01, 0.2125476091956e+00, + + 0.2376570772738e-08, 0.1182086628042e+01, 0.2140505503610e+00, + 0.2547228007887e-08, 0.4906256820629e+01, 0.1534957940063e+00, + 0.2265575594114e-08, 0.3414949866857e+01, 0.2235935264888e+00, + 0.2464381430585e-08, 0.4599122275378e+01, 0.2091065926078e+00, + 0.2433408527044e-08, 0.2830751145445e+00, 0.2174915669488e+00, + 0.2443605509076e-08, 0.4212046432538e+01, 0.1739420156204e+00, + 0.2319779262465e-08, 0.9881978408630e+00, 0.7530171478090e-01, + 0.2284622835465e-08, 0.5565347331588e+00, 0.7426161660010e-01, + 0.2467268750783e-08, 0.5655708150766e+00, 0.2526561439362e+00, + 0.2808513492782e-08, 0.1418405053408e+01, 0.5636314030725e+00, + + 0.2329528932532e-08, 0.4069557545675e+01, 0.1056200952181e+01, + 0.9698639532817e-09, 0.1074134313634e+01, 0.7826370942180e+02 }; + +/* SSB-to-Sun, T^0, Y */ + static const double s0y[] = { + 0.4955392320126e-02, 0.2170467313679e+01, 0.5296909721118e+00, + 0.2722325167392e-02, 0.2444433682196e+01, 0.2132990797783e+00, + 0.1546579925346e-02, 0.5992779281546e+00, 0.3813291813120e-01, + 0.8363140252966e-03, 0.7687356310801e+00, 0.7478166569050e-01, + 0.3385792683603e-03, 0.0000000000000e+00, 0.0000000000000e+00, + 0.1201192221613e-03, 0.2520035601514e+01, 0.1059381944224e+01, + 0.7587125720554e-04, 0.1669954006449e+01, 0.4265981595566e+00, + 0.1964155361250e-04, 0.5707743963343e+01, 0.2061856251104e+00, + 0.1891900364909e-04, 0.2320960679937e+01, 0.2204125344462e+00, + 0.1937373433356e-04, 0.3226940689555e+01, 0.1495633313810e+00, + + 0.1437139941351e-04, 0.2301626908096e+01, 0.5225775174439e+00, + 0.1406267683099e-04, 0.5188579265542e+01, 0.5368044267797e+00, + 0.1178703080346e-04, 0.5489483248476e+01, 0.7626583626240e-01, + 0.8079835186041e-05, 0.1683751835264e+01, 0.3664874755930e-01, + 0.7623253594652e-05, 0.2656400462961e+01, 0.3961708870310e-01, + 0.6248667483971e-05, 0.4992775362055e+01, 0.7329749511860e-01, + 0.4366353695038e-05, 0.2869706279678e+01, 0.1589072916335e+01, + 0.3829101568895e-05, 0.3572131359950e+01, 0.7113454667900e-02, + 0.3175733773908e-05, 0.4535372530045e+01, 0.4194847048887e+00, + 0.3092437902159e-05, 0.9230153317909e+00, 0.6398972393349e+00, + + 0.2874168812154e-05, 0.3363143761101e+01, 0.1102062672231e+00, + 0.3040119321826e-05, 0.3324250895675e+01, 0.6283075850446e+01, + 0.2699723308006e-05, 0.2917882441928e+00, 0.1030928125552e+00, + 0.2134832683534e-05, 0.4220997202487e+01, 0.3163918923335e+00, + 0.1770412139433e-05, 0.4747318496462e+01, 0.1021328554739e+02, + 0.1377264209373e-05, 0.4305058462401e+00, 0.1484170571900e-02, + 0.1127814538960e-05, 0.8538177240740e+00, 0.6327837846670e+00, + 0.1055608090130e-05, 0.1551800742580e+01, 0.4337116142245e+00, + 0.9802673861420e-06, 0.1459646735377e+01, 0.1052268489556e+01, + 0.1090329461951e-05, 0.1587351228711e+01, 0.1162474756779e+01, + + 0.6959590025090e-06, 0.5534442628766e+01, 0.1066495398892e+01, + 0.5664914529542e-06, 0.6030673003297e+01, 0.9491756770005e+00, + 0.6607787763599e-06, 0.4989507233927e+01, 0.8460828644453e+00, + 0.6269725742838e-06, 0.4222951804572e+01, 0.1480791608091e+00, + 0.6301889697863e-06, 0.5444316669126e+01, 0.2243449970715e+00, + 0.4891042662861e-06, 0.1490552839784e+01, 0.3340612434717e+01, + 0.3457083123290e-06, 0.3030475486049e+01, 0.3516457698740e-01, + 0.3032559967314e-06, 0.2652038793632e+01, 0.1104591729320e-01, + 0.2841133988903e-06, 0.1276744786829e+01, 0.4110125927500e-01, + 0.2855564444432e-06, 0.2143368674733e+01, 0.1510475019529e+00, + + 0.2765157135038e-06, 0.5444186109077e+01, 0.6373574839730e-01, + 0.2382312465034e-06, 0.2190521137593e+01, 0.2275259891141e+00, + 0.2808060365077e-06, 0.5735195064841e+01, 0.2535050500000e-01, + 0.2332175234405e-06, 0.9481985524859e-01, 0.7181332454670e-01, + 0.2322488199659e-06, 0.5180499361533e+01, 0.8582758298370e-01, + 0.1881850258423e-06, 0.3219788273885e+01, 0.2118763888447e+01, + 0.2196111392808e-06, 0.2366941159761e+01, 0.2968341143800e-02, + 0.2183810335519e-06, 0.4825445110915e+01, 0.7775000683430e-01, + 0.2002733093326e-06, 0.2457148995307e+01, 0.2093666171530e+00, + 0.1967111767229e-06, 0.5586291545459e+01, 0.2172315424036e+00, + + 0.1568473250543e-06, 0.3708003123320e+01, 0.7429900518901e+00, + 0.1852528314300e-06, 0.4310638151560e+01, 0.2022531624851e+00, + 0.1832111226447e-06, 0.1494665322656e+01, 0.3235053470014e+00, + 0.1746805502310e-06, 0.1451378500784e+01, 0.1385174140878e+00, + 0.1555730966650e-06, 0.1068040418198e+01, 0.7358765972222e+00, + 0.1554883462559e-06, 0.2442579035461e+01, 0.5154640627760e+00, + 0.1638380568746e-06, 0.2597913420625e+00, 0.8531963191132e+00, + 0.1159938593640e-06, 0.5834512021280e+01, 0.1990721704425e+00, + 0.1083427965695e-06, 0.5054033177950e+01, 0.5439178814476e+00, + 0.1156480369431e-06, 0.5325677432457e+01, 0.5257585094865e+00, + + 0.1141308860095e-06, 0.2153403923857e+01, 0.5336234347371e+00, + 0.7913146470946e-07, 0.8642846847027e+00, 0.1478866649112e+01, + 0.7439752463733e-07, 0.1970628496213e+01, 0.2164800718209e+00, + 0.7280277104079e-07, 0.6073307250609e+01, 0.2101180877357e+00, + 0.8319567719136e-07, 0.1954371928334e+01, 0.1692165728891e+01, + 0.7137705549290e-07, 0.8904989440909e+00, 0.4155522422634e+00, + 0.6900825396225e-07, 0.2825717714977e+01, 0.1173197218910e+00, + 0.7245757216635e-07, 0.2481677513331e+01, 0.1265567569334e+01, + 0.6961165696255e-07, 0.1292955312978e+01, 0.9562891316684e+00, + 0.7571804456890e-07, 0.3427517575069e+01, 0.1422690933580e-01, + + 0.6605425721904e-07, 0.8052192701492e+00, 0.6470106940028e+00, + 0.7375477357248e-07, 0.1705076390088e+01, 0.1581959461667e+01, + 0.7041664951470e-07, 0.4848356967891e+00, 0.9597935788730e-01, + 0.6322199535763e-07, 0.3878069473909e+01, 0.7084920306520e-01, + 0.5244380279191e-07, 0.2645560544125e+01, 0.5265099800692e+00, + 0.5143125704988e-07, 0.4834486101370e+01, 0.5328719641544e+00, + 0.5871866319373e-07, 0.7981472548900e+00, 0.7871412831580e-01, + 0.6300822573871e-07, 0.5979398788281e+01, 0.2608790314060e+02, + 0.6062154271548e-07, 0.4108655402756e+01, 0.1114304132498e+00, + 0.4361912339976e-07, 0.5322624319280e+01, 0.1375773836557e+01, + + 0.4417005920067e-07, 0.6240817359284e+01, 0.2770348281756e+00, + 0.4686806749936e-07, 0.3214977301156e+01, 0.1143987543936e+00, + 0.3758892132305e-07, 0.5879809634765e+01, 0.1596186371003e+01, + 0.5151351332319e-07, 0.2893377688007e+00, 0.2228608264996e+00, + 0.4554683578572e-07, 0.5475427144122e+01, 0.1465949902372e+00, + 0.3442381385338e-07, 0.5992034796640e+01, 0.5070101000000e-01, + 0.2831093954933e-07, 0.5367350273914e+01, 0.3092784376656e+00, + 0.3756267090084e-07, 0.5758171285420e+01, 0.4903339079539e+00, + 0.2816374679892e-07, 0.1863718700923e+01, 0.2991266627620e+00, + 0.3419307025569e-07, 0.9524347534130e+00, 0.3518164938661e+00, + + 0.2904250494239e-07, 0.5304471615602e+01, 0.1099462426779e+00, + 0.2471734511206e-07, 0.1297069793530e+01, 0.6256703299991e+00, + 0.2539620831872e-07, 0.3281126083375e+01, 0.1256615170089e+02, + 0.2281017868007e-07, 0.1829122133165e+01, 0.6681224869435e+01, + 0.2275319473335e-07, 0.5797198160181e+01, 0.3932462625300e-02, + 0.2547755368442e-07, 0.4752697708330e+01, 0.1169588211447e+01, + 0.2285979669317e-07, 0.1223205292886e+01, 0.1045155034888e+01, + 0.1913386560994e-07, 0.1757532993389e+01, 0.1155361302111e+01, + 0.1809020525147e-07, 0.4246116108791e+01, 0.3368040641550e-01, + 0.1649213300201e-07, 0.1445162890627e+01, 0.4408250688924e+00, + + 0.1834972793932e-07, 0.1126917567225e+01, 0.4452511715700e-02, + 0.1439550648138e-07, 0.6160756834764e+01, 0.9420622223326e+00, + 0.1487645457041e-07, 0.4358761931792e+01, 0.4123712502208e+00, + 0.1731729516660e-07, 0.6134456753344e+01, 0.2108507877249e+00, + 0.1717747163567e-07, 0.1898186084455e+01, 0.2157473718317e+00, + 0.1418190430374e-07, 0.4180286741266e+01, 0.6521991896920e-01, + 0.1404844134873e-07, 0.7654053565412e-01, 0.4258542984690e-01, + 0.1409842846538e-07, 0.4418612420312e+01, 0.2258291676434e+00, + 0.1090948346291e-07, 0.1260615686131e+01, 0.4226656969313e+00, + 0.1357577323612e-07, 0.3558248818690e+01, 0.7923417740620e-01, + + 0.1018154061960e-07, 0.5676087241256e+01, 0.1456308687557e+00, + 0.1412073972109e-07, 0.8394392632422e+00, 0.1525316725248e+00, + 0.1030938326496e-07, 0.1653593274064e+01, 0.1795258541446e+01, + 0.1180081567104e-07, 0.1285802592036e+01, 0.7032915397480e-01, + 0.9708510575650e-08, 0.7631889488106e+00, 0.8434341241180e-01, + 0.9637689663447e-08, 0.4630642649176e+01, 0.1272681024002e+01, + 0.1068910429389e-07, 0.5294934032165e+01, 0.2123349582968e+00, + 0.1063716179336e-07, 0.2736266800832e+01, 0.2142632012598e+00, + 0.1234858713814e-07, 0.1302891146570e+01, 0.1847279083684e+00, + 0.8912631189738e-08, 0.3570415993621e+01, 0.2648454860559e+01, + + 0.1036378285534e-07, 0.4236693440949e+01, 0.1370332435159e+00, + 0.9667798501561e-08, 0.2960768892398e+01, 0.4376440768498e+00, + 0.8108314201902e-08, 0.6987781646841e+00, 0.2880807454688e+00, + 0.7648364324628e-08, 0.2499017863863e+01, 0.2037373330570e+00, + 0.7286136828406e-08, 0.3787426951665e+01, 0.1129145838217e+00, + 0.9448237743913e-08, 0.2694354332983e+01, 0.5272426800584e+00, + 0.9374276106428e-08, 0.4787121277064e+01, 0.5321392641652e+00, + 0.7100226287462e-08, 0.3530238792101e+00, 0.6288513220417e+00, + 0.9253056659571e-08, 0.1399478925664e+01, 0.1606092486742e+00, + 0.6636432145504e-08, 0.3479575438447e+01, 0.1368660381889e+01, + + 0.6469975312932e-08, 0.1383669964800e+01, 0.2008557621224e+01, + 0.7335849729765e-08, 0.1243698166898e+01, 0.9561746721300e-02, + 0.8743421205855e-08, 0.3776164289301e+01, 0.3801276407308e+00, + 0.5993635744494e-08, 0.5627122113596e+01, 0.2042657109477e+02, + 0.5981008479693e-08, 0.1674336636752e+01, 0.2111650433779e+01, + 0.6188535145838e-08, 0.5214925208672e+01, 0.4305306221819e+00, + 0.6596074017566e-08, 0.2907653268124e+01, 0.1063314406849e+01, + 0.6630815126226e-08, 0.2127643669658e+01, 0.8389694097774e+00, + 0.6156772830040e-08, 0.5082160803295e+01, 0.4234171675140e+00, + 0.6446960563014e-08, 0.1872100916905e+01, 0.5287268506303e+00, + + 0.6429324424668e-08, 0.5610276103577e+01, 0.5306550935933e+00, + 0.6302232396465e-08, 0.1592152049607e+01, 0.1253008786510e-01, + 0.6399244436159e-08, 0.2746214421532e+01, 0.5217580628120e+02, + 0.5474965172558e-08, 0.2317666374383e+01, 0.2221856701002e+01, + 0.5339293190692e-08, 0.1084724961156e+01, 0.7466759693650e-01, + 0.5334733683389e-08, 0.3594106067745e+01, 0.7489573444450e-01, + 0.5392665782110e-08, 0.5630254365606e+01, 0.1055449481598e+01, + 0.6682075673789e-08, 0.1518480041732e+01, 0.2213766559277e+00, + 0.5079130495960e-08, 0.2739765115711e+01, 0.2132517061319e+00, + 0.5077759793261e-08, 0.5290711290094e+01, 0.2133464534247e+00, + + 0.4832037368310e-08, 0.1404473217200e+01, 0.7160067364790e-01, + 0.6463279674802e-08, 0.6038381695210e+01, 0.2209183458640e-01, + 0.6240592771560e-08, 0.1290170653666e+01, 0.3306188016693e+00, + 0.4672013521493e-08, 0.3261895939677e+01, 0.7796265773310e-01, + 0.6500650750348e-08, 0.1154522312095e+01, 0.3884652414254e+00, + 0.6344161389053e-08, 0.6206111545062e+01, 0.7605151500000e-01, + 0.4682518370646e-08, 0.5409118796685e+01, 0.1073608853559e+01, + 0.5329460015591e-08, 0.1202985784864e+01, 0.7287631425543e+00, + 0.5701588675898e-08, 0.4098715257064e+01, 0.8731175355560e-01, + 0.6030690867211e-08, 0.4132033218460e+00, 0.9846002785331e+00, + + 0.4336256312655e-08, 0.1211415991827e+01, 0.4297791515992e+00, + 0.4688498808975e-08, 0.3765479072409e+01, 0.2127790306879e+00, + 0.4675578609335e-08, 0.4265540037226e+01, 0.2138191288687e+00, + 0.4225578112158e-08, 0.5237566010676e+01, 0.3407705765729e+00, + 0.5139422230028e-08, 0.1507173079513e+01, 0.7233337363710e-01, + 0.4619995093571e-08, 0.9023957449848e-01, 0.8603097737811e+00, + 0.4494776255461e-08, 0.5414930552139e+00, 0.7381754420900e-01, + 0.4274026276788e-08, 0.4145735303659e+01, 0.7574578717200e-01, + 0.5018141789353e-08, 0.3344408829055e+01, 0.3180992042600e-02, + 0.4866163952181e-08, 0.3348534657607e+01, 0.7722995774390e-01, + + 0.4111986020501e-08, 0.4198823597220e+00, 0.1451108196653e+00, + 0.3356142784950e-08, 0.5609144747180e+01, 0.1274714967946e+00, + 0.4070575554551e-08, 0.7028411059224e+00, 0.3503323232942e+00, + 0.3257451857278e-08, 0.5624697983086e+01, 0.5296435984654e+00, + 0.3256973703026e-08, 0.1857842076707e+01, 0.5297383457582e+00, + 0.3830771508640e-08, 0.4562887279931e+01, 0.9098186128426e+00, + 0.3725024005962e-08, 0.2358058692652e+00, 0.1084620721060e+00, + 0.3136763921756e-08, 0.2049731526845e+01, 0.2346394437820e+00, + 0.3795147256194e-08, 0.2432356296933e+00, 0.1862120789403e+00, + 0.2877342229911e-08, 0.5631101279387e+01, 0.1905464808669e+01, + + 0.3076931798805e-08, 0.1117615737392e+01, 0.3628624111593e+00, + 0.2734765945273e-08, 0.5899826516955e+01, 0.2131850110243e+00, + 0.2733405296885e-08, 0.2130562964070e+01, 0.2134131485323e+00, + 0.2898552353410e-08, 0.3462387048225e+00, 0.5291709230214e+00, + 0.2893736103681e-08, 0.8534352781543e+00, 0.5302110212022e+00, + 0.3095717734137e-08, 0.2875061429041e+01, 0.2976424921901e+00, + 0.2636190425832e-08, 0.2242512846659e+01, 0.1485980103780e+01, + 0.3645512095537e-08, 0.1354016903958e+01, 0.6044726378023e+00, + 0.2808173547723e-08, 0.6705114365631e-01, 0.6225157782540e-01, + 0.2625012866888e-08, 0.4775705748482e+01, 0.5268983110410e-01, + + 0.2572233995651e-08, 0.2638924216139e+01, 0.1258454114666e+01, + 0.2604238824792e-08, 0.4826358927373e+01, 0.2103781122809e+00, + 0.2596886385239e-08, 0.3200388483118e+01, 0.2162200472757e+00, + 0.3228057304264e-08, 0.5384848409563e+01, 0.2007689919132e+00, + 0.2481601798252e-08, 0.5173373487744e+01, 0.1062562936266e+01, + 0.2745977498864e-08, 0.6250966149853e+01, 0.5651155736444e+00, + 0.2669878833811e-08, 0.4906001352499e+01, 0.1400015846597e+00, + 0.3203986611711e-08, 0.5034333010005e+01, 0.7036329877322e+00, + 0.3354961227212e-08, 0.6108262423137e+01, 0.4549093064213e+00, + 0.2400407324558e-08, 0.2135399294955e+01, 0.2125476091956e+00, + + 0.2379905859802e-08, 0.5893721933961e+01, 0.2140505503610e+00, + 0.2550844302187e-08, 0.3331940762063e+01, 0.1534957940063e+00, + 0.2268824211001e-08, 0.1843418461035e+01, 0.2235935264888e+00, + 0.2464700891204e-08, 0.3029548547230e+01, 0.2091065926078e+00, + 0.2436814726024e-08, 0.4994717970364e+01, 0.2174915669488e+00, + 0.2443623894745e-08, 0.2645102591375e+01, 0.1739420156204e+00, + 0.2318701783838e-08, 0.5700547397897e+01, 0.7530171478090e-01, + 0.2284448700256e-08, 0.5268898905872e+01, 0.7426161660010e-01, + 0.2468848123510e-08, 0.5276280575078e+01, 0.2526561439362e+00, + 0.2814052350303e-08, 0.6130168623475e+01, 0.5636314030725e+00, + + 0.2243662755220e-08, 0.6631692457995e+00, 0.8886590321940e-01, + 0.2330795855941e-08, 0.2499435487702e+01, 0.1056200952181e+01, + 0.9757679038404e-09, 0.5796846023126e+01, 0.7826370942180e+02 }; + +/* SSB-to-Sun, T^0, Z */ + static const double s0z[] = { + 0.1181255122986e-03, 0.4607918989164e+00, 0.2132990797783e+00, + 0.1127777651095e-03, 0.4169146331296e+00, 0.5296909721118e+00, + 0.4777754401806e-04, 0.4582657007130e+01, 0.3813291813120e-01, + 0.1129354285772e-04, 0.5758735142480e+01, 0.7478166569050e-01, + -0.1149543637123e-04, 0.0000000000000e+00, 0.0000000000000e+00, + 0.3298730512306e-05, 0.5978801994625e+01, 0.4265981595566e+00, + 0.2733376706079e-05, 0.7665413691040e+00, 0.1059381944224e+01, + 0.9426389657270e-06, 0.3710201265838e+01, 0.2061856251104e+00, + 0.8187517749552e-06, 0.3390675605802e+00, 0.2204125344462e+00, + 0.4080447871819e-06, 0.4552296640088e+00, 0.5225775174439e+00, + + 0.3169973017028e-06, 0.3445455899321e+01, 0.5368044267797e+00, + 0.2438098615549e-06, 0.5664675150648e+01, 0.3664874755930e-01, + 0.2601897517235e-06, 0.1931894095697e+01, 0.1495633313810e+00, + 0.2314558080079e-06, 0.3666319115574e+00, 0.3961708870310e-01, + 0.1962549548002e-06, 0.3167411699020e+01, 0.7626583626240e-01, + 0.2180518287925e-06, 0.1544420746580e+01, 0.7113454667900e-02, + 0.1451382442868e-06, 0.1583756740070e+01, 0.1102062672231e+00, + 0.1358439007389e-06, 0.5239941758280e+01, 0.6398972393349e+00, + 0.1050585898028e-06, 0.2266958352859e+01, 0.3163918923335e+00, + 0.1050029870186e-06, 0.2711495250354e+01, 0.4194847048887e+00, + + 0.9934920679800e-07, 0.1116208151396e+01, 0.1589072916335e+01, + 0.1048395331560e-06, 0.3408619600206e+01, 0.1021328554739e+02, + 0.8370147196668e-07, 0.3810459401087e+01, 0.2535050500000e-01, + 0.7989856510998e-07, 0.3769910473647e+01, 0.7329749511860e-01, + 0.5441221655233e-07, 0.2416994903374e+01, 0.1030928125552e+00, + 0.4610812906784e-07, 0.5858503336994e+01, 0.4337116142245e+00, + 0.3923022803444e-07, 0.3354170010125e+00, 0.1484170571900e-02, + 0.2610725582128e-07, 0.5410600646324e+01, 0.6327837846670e+00, + 0.2455279767721e-07, 0.6120216681403e+01, 0.1162474756779e+01, + 0.2375530706525e-07, 0.6055443426143e+01, 0.1052268489556e+01, + + 0.1782967577553e-07, 0.3146108708004e+01, 0.8460828644453e+00, + 0.1581687095238e-07, 0.6255496089819e+00, 0.3340612434717e+01, + 0.1594657672461e-07, 0.3782604300261e+01, 0.1066495398892e+01, + 0.1563448615040e-07, 0.1997775733196e+01, 0.2022531624851e+00, + 0.1463624258525e-07, 0.1736316792088e+00, 0.3516457698740e-01, + 0.1331585056673e-07, 0.4331941830747e+01, 0.9491756770005e+00, + 0.1130634557637e-07, 0.6152017751825e+01, 0.2968341143800e-02, + 0.1028949607145e-07, 0.2101792614637e+00, 0.2275259891141e+00, + 0.1024074971618e-07, 0.4071833211074e+01, 0.5070101000000e-01, + 0.8826956060303e-08, 0.4861633688145e+00, 0.2093666171530e+00, + + 0.8572230171541e-08, 0.5268190724302e+01, 0.4110125927500e-01, + 0.7649332643544e-08, 0.5134543417106e+01, 0.2608790314060e+02, + 0.8581673291033e-08, 0.2920218146681e+01, 0.1480791608091e+00, + 0.8430589300938e-08, 0.3604576619108e+01, 0.2172315424036e+00, + 0.7776165501012e-08, 0.3772942249792e+01, 0.6373574839730e-01, + 0.8311070234408e-08, 0.6200412329888e+01, 0.3235053470014e+00, + 0.6927365212582e-08, 0.4543353113437e+01, 0.8531963191132e+00, + 0.6791574208598e-08, 0.2882188406238e+01, 0.7181332454670e-01, + 0.5593100811839e-08, 0.1776646892780e+01, 0.7429900518901e+00, + 0.4553381853021e-08, 0.3949617611240e+01, 0.7775000683430e-01, + + 0.5758000450068e-08, 0.3859251775075e+01, 0.1990721704425e+00, + 0.4281283457133e-08, 0.1466294631206e+01, 0.2118763888447e+01, + 0.4206935661097e-08, 0.5421776011706e+01, 0.1104591729320e-01, + 0.4213751641837e-08, 0.3412048993322e+01, 0.2243449970715e+00, + 0.5310506239878e-08, 0.5421641370995e+00, 0.5154640627760e+00, + 0.3827450341320e-08, 0.8887314524995e+00, 0.1510475019529e+00, + 0.4292435241187e-08, 0.1405043757194e+01, 0.1422690933580e-01, + 0.3189780702289e-08, 0.1060049293445e+01, 0.1173197218910e+00, + 0.3226611928069e-08, 0.6270858897442e+01, 0.2164800718209e+00, + 0.2893897608830e-08, 0.5117563223301e+01, 0.6470106940028e+00, + + 0.3239852024578e-08, 0.4079092237983e+01, 0.2101180877357e+00, + 0.2956892222200e-08, 0.1594917021704e+01, 0.3092784376656e+00, + 0.2980177912437e-08, 0.5258787667564e+01, 0.4155522422634e+00, + 0.3163725690776e-08, 0.3854589225479e+01, 0.8582758298370e-01, + 0.2662262399118e-08, 0.3561326430187e+01, 0.5257585094865e+00, + 0.2766689135729e-08, 0.3180732086830e+00, 0.1385174140878e+00, + 0.2411600278464e-08, 0.3324798335058e+01, 0.5439178814476e+00, + 0.2483527695131e-08, 0.4169069291947e+00, 0.5336234347371e+00, + 0.7788777276590e-09, 0.1900569908215e+01, 0.5217580628120e+02 }; + +/* SSB-to-Sun, T^1, X */ + static const double s1x[] = { + -0.1296310361520e-07, 0.0000000000000e+00, 0.0000000000000e+00, + 0.8975769009438e-08, 0.1128891609250e+01, 0.4265981595566e+00, + 0.7771113441307e-08, 0.2706039877077e+01, 0.2061856251104e+00, + 0.7538303866642e-08, 0.2191281289498e+01, 0.2204125344462e+00, + 0.6061384579336e-08, 0.3248167319958e+01, 0.1059381944224e+01, + 0.5726994235594e-08, 0.5569981398610e+01, 0.5225775174439e+00, + 0.5616492836424e-08, 0.5057386614909e+01, 0.5368044267797e+00, + 0.1010881584769e-08, 0.3473577116095e+01, 0.7113454667900e-02, + 0.7259606157626e-09, 0.3651858593665e+00, 0.6398972393349e+00, + 0.8755095026935e-09, 0.1662835408338e+01, 0.4194847048887e+00, + + 0.5370491182812e-09, 0.1327673878077e+01, 0.4337116142245e+00, + 0.5743773887665e-09, 0.4250200846687e+01, 0.2132990797783e+00, + 0.4408103140300e-09, 0.3598752574277e+01, 0.1589072916335e+01, + 0.3101892374445e-09, 0.4887822983319e+01, 0.1052268489556e+01, + 0.3209453713578e-09, 0.9702272295114e+00, 0.5296909721118e+00, + 0.3017228286064e-09, 0.5484462275949e+01, 0.1066495398892e+01, + 0.3200700038601e-09, 0.2846613338643e+01, 0.1495633313810e+00, + 0.2137637279911e-09, 0.5692163292729e+00, 0.3163918923335e+00, + 0.1899686386727e-09, 0.2061077157189e+01, 0.2275259891141e+00, + 0.1401994545308e-09, 0.4177771136967e+01, 0.1102062672231e+00, + + 0.1578057810499e-09, 0.5782460597335e+01, 0.7626583626240e-01, + 0.1237713253351e-09, 0.5705900866881e+01, 0.5154640627760e+00, + 0.1313076837395e-09, 0.5163438179576e+01, 0.3664874755930e-01, + 0.1184963304860e-09, 0.3054804427242e+01, 0.6327837846670e+00, + 0.1238130878565e-09, 0.2317292575962e+01, 0.3961708870310e-01, + 0.1015959527736e-09, 0.2194643645526e+01, 0.7329749511860e-01, + 0.9017954423714e-10, 0.2868603545435e+01, 0.1990721704425e+00, + 0.8668024955603e-10, 0.4923849675082e+01, 0.5439178814476e+00, + 0.7756083930103e-10, 0.3014334135200e+01, 0.9491756770005e+00, + 0.7536503401741e-10, 0.2704886279769e+01, 0.1030928125552e+00, + + 0.5483308679332e-10, 0.6010983673799e+01, 0.8531963191132e+00, + 0.5184339620428e-10, 0.1952704573291e+01, 0.2093666171530e+00, + 0.5108658712030e-10, 0.2958575786649e+01, 0.2172315424036e+00, + 0.5019424524650e-10, 0.1736317621318e+01, 0.2164800718209e+00, + 0.4909312625978e-10, 0.3167216416257e+01, 0.2101180877357e+00, + 0.4456638901107e-10, 0.7697579923471e+00, 0.3235053470014e+00, + 0.4227030350925e-10, 0.3490910137928e+01, 0.6373574839730e-01, + 0.4095456040093e-10, 0.5178888984491e+00, 0.6470106940028e+00, + 0.4990537041422e-10, 0.3323887668974e+01, 0.1422690933580e-01, + 0.4321170010845e-10, 0.4288484987118e+01, 0.7358765972222e+00, + + 0.3544072091802e-10, 0.6021051579251e+01, 0.5265099800692e+00, + 0.3480198638687e-10, 0.4600027054714e+01, 0.5328719641544e+00, + 0.3440287244435e-10, 0.4349525970742e+01, 0.8582758298370e-01, + 0.3330628322713e-10, 0.2347391505082e+01, 0.1104591729320e-01, + 0.2973060707184e-10, 0.4789409286400e+01, 0.5257585094865e+00, + 0.2932606766089e-10, 0.5831693799927e+01, 0.5336234347371e+00, + 0.2876972310953e-10, 0.2692638514771e+01, 0.1173197218910e+00, + 0.2827488278556e-10, 0.2056052487960e+01, 0.2022531624851e+00, + 0.2515028239756e-10, 0.7411863262449e+00, 0.9597935788730e-01, + 0.2853033744415e-10, 0.3948481024894e+01, 0.2118763888447e+01 }; + +/* SSB-to-Sun, T^1, Y */ + static const double s1y[] = { + 0.8989047573576e-08, 0.5840593672122e+01, 0.4265981595566e+00, + 0.7815938401048e-08, 0.1129664707133e+01, 0.2061856251104e+00, + 0.7550926713280e-08, 0.6196589104845e+00, 0.2204125344462e+00, + 0.6056556925895e-08, 0.1677494667846e+01, 0.1059381944224e+01, + 0.5734142698204e-08, 0.4000920852962e+01, 0.5225775174439e+00, + 0.5614341822459e-08, 0.3486722577328e+01, 0.5368044267797e+00, + 0.1028678147656e-08, 0.1877141024787e+01, 0.7113454667900e-02, + 0.7270792075266e-09, 0.5077167301739e+01, 0.6398972393349e+00, + 0.8734141726040e-09, 0.9069550282609e-01, 0.4194847048887e+00, + 0.5377371402113e-09, 0.6039381844671e+01, 0.4337116142245e+00, + + 0.4729719431571e-09, 0.2153086311760e+01, 0.2132990797783e+00, + 0.4458052820973e-09, 0.5059830025565e+01, 0.5296909721118e+00, + 0.4406855467908e-09, 0.2027971692630e+01, 0.1589072916335e+01, + 0.3101659310977e-09, 0.3317677981860e+01, 0.1052268489556e+01, + 0.3016749232545e-09, 0.3913703482532e+01, 0.1066495398892e+01, + 0.3198541352656e-09, 0.1275513098525e+01, 0.1495633313810e+00, + 0.2142065389871e-09, 0.5301351614597e+01, 0.3163918923335e+00, + 0.1902615247592e-09, 0.4894943352736e+00, 0.2275259891141e+00, + 0.1613410990871e-09, 0.2449891130437e+01, 0.1102062672231e+00, + 0.1576992165097e-09, 0.4211421447633e+01, 0.7626583626240e-01, + + 0.1241637259894e-09, 0.4140803368133e+01, 0.5154640627760e+00, + 0.1313974830355e-09, 0.3591920305503e+01, 0.3664874755930e-01, + 0.1181697118258e-09, 0.1506314382788e+01, 0.6327837846670e+00, + 0.1238239742779e-09, 0.7461405378404e+00, 0.3961708870310e-01, + 0.1010107068241e-09, 0.6271010795475e+00, 0.7329749511860e-01, + 0.9226316616509e-10, 0.1259158839583e+01, 0.1990721704425e+00, + 0.8664946419555e-10, 0.3353244696934e+01, 0.5439178814476e+00, + 0.7757230468978e-10, 0.1447677295196e+01, 0.9491756770005e+00, + 0.7693168628139e-10, 0.1120509896721e+01, 0.1030928125552e+00, + 0.5487897454612e-10, 0.4439380426795e+01, 0.8531963191132e+00, + + 0.5196118677218e-10, 0.3788856619137e+00, 0.2093666171530e+00, + 0.5110853339935e-10, 0.1386879372016e+01, 0.2172315424036e+00, + 0.5027804534813e-10, 0.1647881805466e+00, 0.2164800718209e+00, + 0.4922485922674e-10, 0.1594315079862e+01, 0.2101180877357e+00, + 0.6155599524400e-10, 0.0000000000000e+00, 0.0000000000000e+00, + 0.4447147832161e-10, 0.5480720918976e+01, 0.3235053470014e+00, + 0.4144691276422e-10, 0.1931371033660e+01, 0.6373574839730e-01, + 0.4099950625452e-10, 0.5229611294335e+01, 0.6470106940028e+00, + 0.5060541682953e-10, 0.1731112486298e+01, 0.1422690933580e-01, + 0.4293615946300e-10, 0.2714571038925e+01, 0.7358765972222e+00, + + 0.3545659845763e-10, 0.4451041444634e+01, 0.5265099800692e+00, + 0.3479112041196e-10, 0.3029385448081e+01, 0.5328719641544e+00, + 0.3438516493570e-10, 0.2778507143731e+01, 0.8582758298370e-01, + 0.3297341285033e-10, 0.7898709807584e+00, 0.1104591729320e-01, + 0.2972585818015e-10, 0.3218785316973e+01, 0.5257585094865e+00, + 0.2931707295017e-10, 0.4260731012098e+01, 0.5336234347371e+00, + 0.2897198149403e-10, 0.1120753978101e+01, 0.1173197218910e+00, + 0.2832293240878e-10, 0.4597682717827e+00, 0.2022531624851e+00, + 0.2864348326612e-10, 0.2169939928448e+01, 0.9597935788730e-01, + 0.2852714675471e-10, 0.2377659870578e+01, 0.2118763888447e+01 }; + +/* SSB-to-Sun, T^1, Z */ + static const double s1z[] = { + 0.5444220475678e-08, 0.1803825509310e+01, 0.2132990797783e+00, + 0.3883412695596e-08, 0.4668616389392e+01, 0.5296909721118e+00, + 0.1334341434551e-08, 0.0000000000000e+00, 0.0000000000000e+00, + 0.3730001266883e-09, 0.5401405918943e+01, 0.2061856251104e+00, + 0.2894929197956e-09, 0.4932415609852e+01, 0.2204125344462e+00, + 0.2857950357701e-09, 0.3154625362131e+01, 0.7478166569050e-01, + 0.2499226432292e-09, 0.3657486128988e+01, 0.4265981595566e+00, + 0.1937705443593e-09, 0.5740434679002e+01, 0.1059381944224e+01, + 0.1374894396320e-09, 0.1712857366891e+01, 0.5368044267797e+00, + 0.1217248678408e-09, 0.2312090870932e+01, 0.5225775174439e+00, + + 0.7961052740870e-10, 0.5283368554163e+01, 0.3813291813120e-01, + 0.4979225949689e-10, 0.4298290471860e+01, 0.4194847048887e+00, + 0.4388552286597e-10, 0.6145515047406e+01, 0.7113454667900e-02, + 0.2586835212560e-10, 0.3019448001809e+01, 0.6398972393349e+00 }; + +/* SSB-to-Sun, T^2, X */ + static const double s2x[] = { + 0.1603551636587e-11, 0.4404109410481e+01, 0.2061856251104e+00, + 0.1556935889384e-11, 0.4818040873603e+00, 0.2204125344462e+00, + 0.1182594414915e-11, 0.9935762734472e+00, 0.5225775174439e+00, + 0.1158794583180e-11, 0.3353180966450e+01, 0.5368044267797e+00, + 0.9597358943932e-12, 0.5567045358298e+01, 0.2132990797783e+00, + 0.6511516579605e-12, 0.5630872420788e+01, 0.4265981595566e+00, + 0.7419792747688e-12, 0.2156188581957e+01, 0.5296909721118e+00, + 0.3951972655848e-12, 0.1981022541805e+01, 0.1059381944224e+01, + 0.4478223877045e-12, 0.0000000000000e+00, 0.0000000000000e+00 }; + +/* SSB-to-Sun, T^2, Y */ + static const double s2y[] = { + 0.1609114495091e-11, 0.2831096993481e+01, 0.2061856251104e+00, + 0.1560330784946e-11, 0.5193058213906e+01, 0.2204125344462e+00, + 0.1183535479202e-11, 0.5707003443890e+01, 0.5225775174439e+00, + 0.1158183066182e-11, 0.1782400404928e+01, 0.5368044267797e+00, + 0.1032868027407e-11, 0.4036925452011e+01, 0.2132990797783e+00, + 0.6540142847741e-12, 0.4058241056717e+01, 0.4265981595566e+00, + 0.7305236491596e-12, 0.6175401942957e+00, 0.5296909721118e+00, + -0.5580725052968e-12, 0.0000000000000e+00, 0.0000000000000e+00, + 0.3946122651015e-12, 0.4108265279171e+00, 0.1059381944224e+01 }; + +/* SSB-to-Sun, T^2, Z */ + static const double s2z[] = { + 0.3749920358054e-12, 0.3230285558668e+01, 0.2132990797783e+00, + 0.2735037220939e-12, 0.6154322683046e+01, 0.5296909721118e+00 }; + +/* Pointers to coefficient arrays, in x,y,z sets */ + static const double *ce0[] = { e0x, e0y, e0z }, + *ce1[] = { e1x, e1y, e1z }, + *ce2[] = { e2x, e2y, e2z }, + *cs0[] = { s0x, s0y, s0z }, + *cs1[] = { s1x, s1y, s1z }, + *cs2[] = { s2x, s2y, s2z }; + const double *coeffs; + +/* Numbers of terms for each component of the model, in x,y,z sets */ + static const int ne0[3] = {(int)(sizeof e0x / sizeof (double) / 3), + (int)(sizeof e0y / sizeof (double) / 3), + (int)(sizeof e0z / sizeof (double) / 3) }, + ne1[3] = {(int)(sizeof e1x / sizeof (double) / 3), + (int)(sizeof e1y / sizeof (double) / 3), + (int)(sizeof e1z / sizeof (double) / 3) }, + ne2[3] = {(int)(sizeof e2x / sizeof (double) / 3), + (int)(sizeof e2y / sizeof (double) / 3), + (int)(sizeof e2z / sizeof (double) / 3) }, + ns0[3] = {(int)(sizeof s0x / sizeof (double) / 3), + (int)(sizeof s0y / sizeof (double) / 3), + (int)(sizeof s0z / sizeof (double) / 3) }, + ns1[3] = {(int)(sizeof s1x / sizeof (double) / 3), + (int)(sizeof s1y / sizeof (double) / 3), + (int)(sizeof s1z / sizeof (double) / 3) }, + ns2[3] = {(int)(sizeof s2x / sizeof (double) / 3), + (int)(sizeof s2y / sizeof (double) / 3), + (int)(sizeof s2z / sizeof (double) / 3) }; + int nterms; + +/* Miscellaneous */ + int jstat, i, j; + double t, t2, xyz, xyzd, a, b, c, ct, p, cp, + ph[3], vh[3], pb[3], vb[3], x, y, z; + +/*--------------------------------------------------------------------*/ + +/* Time since reference epoch, Julian years. */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJY; + t2 = t*t; + +/* Set status. */ + jstat = fabs(t) <= 100.0 ? 0 : 1; + +/* X then Y then Z. */ + for (i = 0; i < 3; i++) { + + /* Initialize position and velocity component. */ + xyz = 0.0; + xyzd = 0.0; + + /* ------------------------------------------------ */ + /* Obtain component of Sun to Earth ecliptic vector */ + /* ------------------------------------------------ */ + + /* Sun to Earth, T^0 terms. */ + coeffs = ce0[i]; + nterms = ne0[i]; + for (j = 0; j < nterms; j++) { + a = *coeffs++; + b = *coeffs++; + c = *coeffs++; + p = b + c*t; + xyz += a*cos(p); + xyzd -= a*c*sin(p); + } + + /* Sun to Earth, T^1 terms. */ + coeffs = ce1[i]; + nterms = ne1[i]; + for (j = 0; j < nterms; j++) { + a = *coeffs++; + b = *coeffs++; + c = *coeffs++; + ct = c*t; + p = b + ct; + cp = cos(p); + xyz += a*t*cp; + xyzd += a*( cp - ct*sin(p) ); + } + + /* Sun to Earth, T^2 terms. */ + coeffs = ce2[i]; + nterms = ne2[i]; + for (j = 0; j < nterms; j++) { + a = *coeffs++; + b = *coeffs++; + c = *coeffs++; + ct = c*t; + p = b + ct; + cp = cos(p); + xyz += a*t2*cp; + xyzd += a*t*( 2.0*cp - ct*sin(p) ); + } + + /* Heliocentric Earth position and velocity component. */ + ph[i] = xyz; + vh[i] = xyzd / ERFA_DJY; + + /* ------------------------------------------------ */ + /* Obtain component of SSB to Earth ecliptic vector */ + /* ------------------------------------------------ */ + + /* SSB to Sun, T^0 terms. */ + coeffs = cs0[i]; + nterms = ns0[i]; + for (j = 0; j < nterms; j++) { + a = *coeffs++; + b = *coeffs++; + c = *coeffs++; + p = b + c*t; + xyz += a*cos(p); + xyzd -= a*c*sin(p); + } + + /* SSB to Sun, T^1 terms. */ + coeffs = cs1[i]; + nterms = ns1[i]; + for (j = 0; j < nterms; j++) { + a = *coeffs++; + b = *coeffs++; + c = *coeffs++; + ct = c*t; + p = b + ct; + cp = cos(p); + xyz += a*t*cp; + xyzd += a*(cp - ct*sin(p)); + } + + /* SSB to Sun, T^2 terms. */ + coeffs = cs2[i]; + nterms = ns2[i]; + for (j = 0; j < nterms; j++) { + a = *coeffs++; + b = *coeffs++; + c = *coeffs++; + ct = c*t; + p = b + ct; + cp = cos(p); + xyz += a*t2*cp; + xyzd += a*t*(2.0*cp - ct*sin(p)); + } + + /* Barycentric Earth position and velocity component. */ + pb[i] = xyz; + vb[i] = xyzd / ERFA_DJY; + + /* Next Cartesian component. */ + } + +/* Rotate from ecliptic to BCRS coordinates. */ + + x = ph[0]; + y = ph[1]; + z = ph[2]; + pvh[0][0] = x + am12*y + am13*z; + pvh[0][1] = am21*x + am22*y + am23*z; + pvh[0][2] = am32*y + am33*z; + + x = vh[0]; + y = vh[1]; + z = vh[2]; + pvh[1][0] = x + am12*y + am13*z; + pvh[1][1] = am21*x + am22*y + am23*z; + pvh[1][2] = am32*y + am33*z; + + x = pb[0]; + y = pb[1]; + z = pb[2]; + pvb[0][0] = x + am12*y + am13*z; + pvb[0][1] = am21*x + am22*y + am23*z; + pvb[0][2] = am32*y + am33*z; + + x = vb[0]; + y = vb[1]; + z = vb[2]; + pvb[1][0] = x + am12*y + am13*z; + pvb[1][1] = am21*x + am22*y + am23*z; + pvb[1][2] = am32*y + am33*z; + +/* Return the status. */ + return jstat; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/eqeq94.c b/ast/erfa/eqeq94.c new file mode 100644 index 0000000..669515d --- /dev/null +++ b/ast/erfa/eqeq94.c @@ -0,0 +1,141 @@ +#include "erfa.h" + +double eraEqeq94(double date1, double date2) +/* +** - - - - - - - - - - +** e r a E q e q 9 4 +** - - - - - - - - - - +** +** Equation of the equinoxes, IAU 1994 model. +** +** Given: +** date1,date2 double TDB date (Note 1) +** +** Returned (function value): +** double equation of the equinoxes (Note 2) +** +** Notes: +** +** 1) The date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The result, which is in radians, operates in the following sense: +** +** Greenwich apparent ST = GMST + equation of the equinoxes +** +** Called: +** eraAnpm normalize angle into range +/- pi +** eraNut80 nutation, IAU 1980 +** eraObl80 mean obliquity, IAU 1980 +** +** References: +** +** IAU Resolution C7, Recommendation 3 (1994). +** +** Capitaine, N. & Gontier, A.-M., 1993, Astron. Astrophys., 275, +** 645-650. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t, om, dpsi, deps, eps0, ee; + + +/* Interval between fundamental epoch J2000.0 and given date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* Longitude of the mean ascending node of the lunar orbit on the */ +/* ecliptic, measured from the mean equinox of date. */ + om = eraAnpm((450160.280 + (-482890.539 + + (7.455 + 0.008 * t) * t) * t) * ERFA_DAS2R + + fmod(-5.0 * t, 1.0) * ERFA_D2PI); + +/* Nutation components and mean obliquity. */ + eraNut80(date1, date2, &dpsi, &deps); + eps0 = eraObl80(date1, date2); + +/* Equation of the equinoxes. */ + ee = dpsi*cos(eps0) + ERFA_DAS2R*(0.00264*sin(om) + 0.000063*sin(om+om)); + + return ee; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/era00.c b/ast/erfa/era00.c new file mode 100644 index 0000000..47f642c --- /dev/null +++ b/ast/erfa/era00.c @@ -0,0 +1,145 @@ +#include "erfa.h" + +double eraEra00(double dj1, double dj2) +/* +** - - - - - - - - - +** e r a E r a 0 0 +** - - - - - - - - - +** +** Earth rotation angle (IAU 2000 model). +** +** Given: +** dj1,dj2 double UT1 as a 2-part Julian Date (see note) +** +** Returned (function value): +** double Earth rotation angle (radians), range 0-2pi +** +** Notes: +** +** 1) The UT1 date dj1+dj2 is a Julian Date, apportioned in any +** convenient way between the arguments dj1 and dj2. For example, +** JD(UT1)=2450123.7 could be expressed in any of these ways, +** among others: +** +** dj1 dj2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 and MJD methods are good compromises +** between resolution and convenience. The date & time method is +** best matched to the algorithm used: maximum precision is +** delivered when the dj1 argument is for 0hrs UT1 on the day in +** question and the dj2 argument lies in the range 0 to 1, or vice +** versa. +** +** 2) The algorithm is adapted from Expression 22 of Capitaine et al. +** 2000. The time argument has been expressed in days directly, +** and, to retain precision, integer contributions have been +** eliminated. The same formulation is given in IERS Conventions +** (2003), Chap. 5, Eq. 14. +** +** Called: +** eraAnp normalize angle into range 0 to 2pi +** +** References: +** +** Capitaine N., Guinot B. and McCarthy D.D, 2000, Astron. +** Astrophys., 355, 398-405. +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double d1, d2, t, f, theta; + + +/* Days since fundamental epoch. */ + if (dj1 < dj2) { + d1 = dj1; + d2 = dj2; + } else { + d1 = dj2; + d2 = dj1; + } + t = d1 + (d2- ERFA_DJ00); + +/* Fractional part of T (days). */ + f = fmod(d1, 1.0) + fmod(d2, 1.0); + +/* Earth rotation angle at this UT1. */ + theta = eraAnp(ERFA_D2PI * (f + 0.7790572732640 + + 0.00273781191135448 * t)); + + return theta; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/erfa.h b/ast/erfa/erfa.h new file mode 100644 index 0000000..b59d9e0 --- /dev/null +++ b/ast/erfa/erfa.h @@ -0,0 +1,504 @@ +#ifndef ERFAHDEF +#define ERFAHDEF + +/* +** - - - - - - - +** e r f a . h +** - - - - - - - +** +** Prototype function declarations for ERFA library. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ + +#include "erfam.h" +#include "math.h" + +#ifdef __cplusplus +extern "C" { +#endif + +/* Astronomy/Calendars */ +int eraCal2jd(int iy, int im, int id, double *djm0, double *djm); +double eraEpb(double dj1, double dj2); +void eraEpb2jd(double epb, double *djm0, double *djm); +double eraEpj(double dj1, double dj2); +void eraEpj2jd(double epj, double *djm0, double *djm); +int eraJd2cal(double dj1, double dj2, + int *iy, int *im, int *id, double *fd); +int eraJdcalf(int ndp, double dj1, double dj2, int iymdf[4]); + +/* Astronomy/Astrometry */ +void eraAb(double pnat[3], double v[3], double s, double bm1, + double ppr[3]); +void eraApcg(double date1, double date2, + double ebpv[2][3], double ehp[3], + eraASTROM *astrom); +void eraApcg13(double date1, double date2, eraASTROM *astrom); +void eraApci(double date1, double date2, + double ebpv[2][3], double ehp[3], + double x, double y, double s, + eraASTROM *astrom); +void eraApci13(double date1, double date2, + eraASTROM *astrom, double *eo); +void eraApco(double date1, double date2, + double ebpv[2][3], double ehp[3], + double x, double y, double s, double theta, + double elong, double phi, double hm, + double xp, double yp, double sp, + double refa, double refb, + eraASTROM *astrom); +int eraApco13(double utc1, double utc2, double dut1, + double elong, double phi, double hm, double xp, double yp, + double phpa, double tk, double rh, double wl, + eraASTROM *astrom, double *eo); +void eraApcs(double date1, double date2, double pv[2][3], + double ebpv[2][3], double ehp[3], + eraASTROM *astrom); +void eraApcs13(double date1, double date2, double pv[2][3], + eraASTROM *astrom); +void eraAper(double theta, eraASTROM *astrom); +void eraAper13(double ut11, double ut12, eraASTROM *astrom); +void eraApio(double sp, double theta, + double elong, double phi, double hm, double xp, double yp, + double refa, double refb, + eraASTROM *astrom); +int eraApio13(double utc1, double utc2, double dut1, + double elong, double phi, double hm, double xp, double yp, + double phpa, double tk, double rh, double wl, + eraASTROM *astrom); +void eraAtci13(double rc, double dc, + double pr, double pd, double px, double rv, + double date1, double date2, + double *ri, double *di, double *eo); +void eraAtciq(double rc, double dc, double pr, double pd, + double px, double rv, eraASTROM *astrom, + double *ri, double *di); +void eraAtciqn(double rc, double dc, double pr, double pd, + double px, double rv, eraASTROM *astrom, + int n, eraLDBODY b[], double *ri, double *di); +void eraAtciqz(double rc, double dc, eraASTROM *astrom, + double *ri, double *di); +int eraAtco13(double rc, double dc, + double pr, double pd, double px, double rv, + double utc1, double utc2, double dut1, + double elong, double phi, double hm, double xp, double yp, + double phpa, double tk, double rh, double wl, + double *aob, double *zob, double *hob, + double *dob, double *rob, double *eo); +void eraAtic13(double ri, double di, + double date1, double date2, + double *rc, double *dc, double *eo); +void eraAticq(double ri, double di, eraASTROM *astrom, + double *rc, double *dc); +void eraAticqn(double ri, double di, eraASTROM *astrom, + int n, eraLDBODY b[], double *rc, double *dc); +int eraAtio13(double ri, double di, + double utc1, double utc2, double dut1, + double elong, double phi, double hm, double xp, double yp, + double phpa, double tk, double rh, double wl, + double *aob, double *zob, double *hob, + double *dob, double *rob); +void eraAtioq(double ri, double di, eraASTROM *astrom, + double *aob, double *zob, + double *hob, double *dob, double *rob); +int eraAtoc13(const char *type, double ob1, double ob2, + double utc1, double utc2, double dut1, + double elong, double phi, double hm, double xp, double yp, + double phpa, double tk, double rh, double wl, + double *rc, double *dc); +int eraAtoi13(const char *type, double ob1, double ob2, + double utc1, double utc2, double dut1, + double elong, double phi, double hm, double xp, double yp, + double phpa, double tk, double rh, double wl, + double *ri, double *di); +void eraAtoiq(const char *type, + double ob1, double ob2, eraASTROM *astrom, + double *ri, double *di); +void eraLd(double bm, double p[3], double q[3], double e[3], + double em, double dlim, double p1[3]); +void eraLdn(int n, eraLDBODY b[], double ob[3], double sc[3], + double sn[3]); +void eraLdsun(double p[3], double e[3], double em, double p1[3]); +void eraPmpx(double rc, double dc, double pr, double pd, + double px, double rv, double pmt, double vob[3], + double pco[3]); +int eraPmsafe(double ra1, double dec1, double pmr1, double pmd1, + double px1, double rv1, + double ep1a, double ep1b, double ep2a, double ep2b, + double *ra2, double *dec2, double *pmr2, double *pmd2, + double *px2, double *rv2); +void eraPvtob(double elong, double phi, double hm, + double xp, double yp, double sp, double theta, + double pv[2][3]); +void eraRefco(double phpa, double tk, double rh, double wl, + double *refa, double *refb); + +/* Astronomy/Ephemerides */ +int eraEpv00(double date1, double date2, + double pvh[2][3], double pvb[2][3]); +int eraPlan94(double date1, double date2, int np, double pv[2][3]); + +/* Astronomy/FundamentalArgs */ +double eraFad03(double t); +double eraFae03(double t); +double eraFaf03(double t); +double eraFaju03(double t); +double eraFal03(double t); +double eraFalp03(double t); +double eraFama03(double t); +double eraFame03(double t); +double eraFane03(double t); +double eraFaom03(double t); +double eraFapa03(double t); +double eraFasa03(double t); +double eraFaur03(double t); +double eraFave03(double t); + +/* Astronomy/PrecNutPolar */ +void eraBi00(double *dpsibi, double *depsbi, double *dra); +void eraBp00(double date1, double date2, + double rb[3][3], double rp[3][3], double rbp[3][3]); +void eraBp06(double date1, double date2, + double rb[3][3], double rp[3][3], double rbp[3][3]); +void eraBpn2xy(double rbpn[3][3], double *x, double *y); +void eraC2i00a(double date1, double date2, double rc2i[3][3]); +void eraC2i00b(double date1, double date2, double rc2i[3][3]); +void eraC2i06a(double date1, double date2, double rc2i[3][3]); +void eraC2ibpn(double date1, double date2, double rbpn[3][3], + double rc2i[3][3]); +void eraC2ixy(double date1, double date2, double x, double y, + double rc2i[3][3]); +void eraC2ixys(double x, double y, double s, double rc2i[3][3]); +void eraC2t00a(double tta, double ttb, double uta, double utb, + double xp, double yp, double rc2t[3][3]); +void eraC2t00b(double tta, double ttb, double uta, double utb, + double xp, double yp, double rc2t[3][3]); +void eraC2t06a(double tta, double ttb, double uta, double utb, + double xp, double yp, double rc2t[3][3]); +void eraC2tcio(double rc2i[3][3], double era, double rpom[3][3], + double rc2t[3][3]); +void eraC2teqx(double rbpn[3][3], double gst, double rpom[3][3], + double rc2t[3][3]); +void eraC2tpe(double tta, double ttb, double uta, double utb, + double dpsi, double deps, double xp, double yp, + double rc2t[3][3]); +void eraC2txy(double tta, double ttb, double uta, double utb, + double x, double y, double xp, double yp, + double rc2t[3][3]); +double eraEo06a(double date1, double date2); +double eraEors(double rnpb[3][3], double s); +void eraFw2m(double gamb, double phib, double psi, double eps, + double r[3][3]); +void eraFw2xy(double gamb, double phib, double psi, double eps, + double *x, double *y); +void eraNum00a(double date1, double date2, double rmatn[3][3]); +void eraNum00b(double date1, double date2, double rmatn[3][3]); +void eraNum06a(double date1, double date2, double rmatn[3][3]); +void eraNumat(double epsa, double dpsi, double deps, double rmatn[3][3]); +void eraNut00a(double date1, double date2, double *dpsi, double *deps); +void eraNut00b(double date1, double date2, double *dpsi, double *deps); +void eraNut06a(double date1, double date2, double *dpsi, double *deps); +void eraNut80(double date1, double date2, double *dpsi, double *deps); +void eraNutm80(double date1, double date2, double rmatn[3][3]); +double eraObl06(double date1, double date2); +double eraObl80(double date1, double date2); +void eraP06e(double date1, double date2, + double *eps0, double *psia, double *oma, double *bpa, + double *bqa, double *pia, double *bpia, + double *epsa, double *chia, double *za, double *zetaa, + double *thetaa, double *pa, + double *gam, double *phi, double *psi); +void eraPb06(double date1, double date2, + double *bzeta, double *bz, double *btheta); +void eraPfw06(double date1, double date2, + double *gamb, double *phib, double *psib, double *epsa); +void eraPmat00(double date1, double date2, double rbp[3][3]); +void eraPmat06(double date1, double date2, double rbp[3][3]); +void eraPmat76(double date1, double date2, double rmatp[3][3]); +void eraPn00(double date1, double date2, double dpsi, double deps, + double *epsa, + double rb[3][3], double rp[3][3], double rbp[3][3], + double rn[3][3], double rbpn[3][3]); +void eraPn00a(double date1, double date2, + double *dpsi, double *deps, double *epsa, + double rb[3][3], double rp[3][3], double rbp[3][3], + double rn[3][3], double rbpn[3][3]); +void eraPn00b(double date1, double date2, + double *dpsi, double *deps, double *epsa, + double rb[3][3], double rp[3][3], double rbp[3][3], + double rn[3][3], double rbpn[3][3]); +void eraPn06(double date1, double date2, double dpsi, double deps, + double *epsa, + double rb[3][3], double rp[3][3], double rbp[3][3], + double rn[3][3], double rbpn[3][3]); +void eraPn06a(double date1, double date2, + double *dpsi, double *deps, double *epsa, + double rb[3][3], double rp[3][3], double rbp[3][3], + double rn[3][3], double rbpn[3][3]); +void eraPnm00a(double date1, double date2, double rbpn[3][3]); +void eraPnm00b(double date1, double date2, double rbpn[3][3]); +void eraPnm06a(double date1, double date2, double rnpb[3][3]); +void eraPnm80(double date1, double date2, double rmatpn[3][3]); +void eraPom00(double xp, double yp, double sp, double rpom[3][3]); +void eraPr00(double date1, double date2, double *dpsipr, double *depspr); +void eraPrec76(double ep01, double ep02, double ep11, double ep12, + double *zeta, double *z, double *theta); +double eraS00(double date1, double date2, double x, double y); +double eraS00a(double date1, double date2); +double eraS00b(double date1, double date2); +double eraS06(double date1, double date2, double x, double y); +double eraS06a(double date1, double date2); +double eraSp00(double date1, double date2); +void eraXy06(double date1, double date2, double *x, double *y); +void eraXys00a(double date1, double date2, + double *x, double *y, double *s); +void eraXys00b(double date1, double date2, + double *x, double *y, double *s); +void eraXys06a(double date1, double date2, + double *x, double *y, double *s); + +/* Astronomy/RotationAndTime */ +double eraEe00(double date1, double date2, double epsa, double dpsi); +double eraEe00a(double date1, double date2); +double eraEe00b(double date1, double date2); +double eraEe06a(double date1, double date2); +double eraEect00(double date1, double date2); +double eraEqeq94(double date1, double date2); +double eraEra00(double dj1, double dj2); +double eraGmst00(double uta, double utb, double tta, double ttb); +double eraGmst06(double uta, double utb, double tta, double ttb); +double eraGmst82(double dj1, double dj2); +double eraGst00a(double uta, double utb, double tta, double ttb); +double eraGst00b(double uta, double utb); +double eraGst06(double uta, double utb, double tta, double ttb, + double rnpb[3][3]); +double eraGst06a(double uta, double utb, double tta, double ttb); +double eraGst94(double uta, double utb); + +/* Astronomy/SpaceMotion */ +int eraPmsafe(double ra1, double dec1, double pmr1, double pmd1, + double px1, double rv1, double ep1a, double ep1b, + double ep2a, double ep2b, double *ra2, double *dec2, + double *pmr2, double *pmd2, double *px2, double *rv2); +int eraPvstar(double pv[2][3], double *ra, double *dec, + double *pmr, double *pmd, double *px, double *rv); +int eraStarpv(double ra, double dec, + double pmr, double pmd, double px, double rv, + double pv[2][3]); + +/* Astronomy/StarCatalogs */ +void eraFk52h(double r5, double d5, + double dr5, double dd5, double px5, double rv5, + double *rh, double *dh, + double *drh, double *ddh, double *pxh, double *rvh); +void eraFk5hip(double r5h[3][3], double s5h[3]); +void eraFk5hz(double r5, double d5, double date1, double date2, + double *rh, double *dh); +void eraH2fk5(double rh, double dh, + double drh, double ddh, double pxh, double rvh, + double *r5, double *d5, + double *dr5, double *dd5, double *px5, double *rv5); +void eraHfk5z(double rh, double dh, double date1, double date2, + double *r5, double *d5, double *dr5, double *dd5); +int eraStarpm(double ra1, double dec1, + double pmr1, double pmd1, double px1, double rv1, + double ep1a, double ep1b, double ep2a, double ep2b, + double *ra2, double *dec2, + double *pmr2, double *pmd2, double *px2, double *rv2); + +/* Astronomy/GeodeticGeocentric */ +int eraEform(int n, double *a, double *f); +int eraGc2gd(int n, double xyz[3], + double *elong, double *phi, double *height); +int eraGc2gde(double a, double f, double xyz[3], + double *elong, double *phi, double *height); +int eraGd2gc(int n, double elong, double phi, double height, + double xyz[3]); +int eraGd2gce(double a, double f, + double elong, double phi, double height, double xyz[3]); +void eraPvtob(double elong, double phi, double height, double xp, + double yp, double sp, double theta, double pv[2][3]); + +/* Astronomy/Timescales */ +int eraD2dtf(const char *scale, int ndp, double d1, double d2, + int *iy, int *im, int *id, int ihmsf[4]); +int eraDat(int iy, int im, int id, double fd, double *deltat); +double eraDtdb(double date1, double date2, + double ut, double elong, double u, double v); +int eraDtf2d(const char *scale, int iy, int im, int id, + int ihr, int imn, double sec, double *d1, double *d2); +int eraTaitt(double tai1, double tai2, double *tt1, double *tt2); +int eraTaiut1(double tai1, double tai2, double dta, + double *ut11, double *ut12); +int eraTaiutc(double tai1, double tai2, double *utc1, double *utc2); +int eraTcbtdb(double tcb1, double tcb2, double *tdb1, double *tdb2); +int eraTcgtt(double tcg1, double tcg2, double *tt1, double *tt2); +int eraTdbtcb(double tdb1, double tdb2, double *tcb1, double *tcb2); +int eraTdbtt(double tdb1, double tdb2, double dtr, + double *tt1, double *tt2); +int eraTttai(double tt1, double tt2, double *tai1, double *tai2); +int eraTttcg(double tt1, double tt2, double *tcg1, double *tcg2); +int eraTttdb(double tt1, double tt2, double dtr, + double *tdb1, double *tdb2); +int eraTtut1(double tt1, double tt2, double dt, + double *ut11, double *ut12); +int eraUt1tai(double ut11, double ut12, double dta, + double *tai1, double *tai2); +int eraUt1tt(double ut11, double ut12, double dt, + double *tt1, double *tt2); +int eraUt1utc(double ut11, double ut12, double dut1, + double *utc1, double *utc2); +int eraUtctai(double utc1, double utc2, double *tai1, double *tai2); +int eraUtcut1(double utc1, double utc2, double dut1, + double *ut11, double *ut12); + +/* VectorMatrix/AngleOps */ +void eraA2af(int ndp, double angle, char *sign, int idmsf[4]); +void eraA2tf(int ndp, double angle, char *sign, int ihmsf[4]); +int eraAf2a(char s, int ideg, int iamin, double asec, double *rad); +double eraAnp(double a); +double eraAnpm(double a); +void eraD2tf(int ndp, double days, char *sign, int ihmsf[4]); +int eraTf2a(char s, int ihour, int imin, double sec, double *rad); +int eraTf2d(char s, int ihour, int imin, double sec, double *days); + +/* VectorMatrix/BuildRotations */ +void eraRx(double phi, double r[3][3]); +void eraRy(double theta, double r[3][3]); +void eraRz(double psi, double r[3][3]); + +/* VectorMatrix/CopyExtendExtract */ +void eraCp(double p[3], double c[3]); +void eraCpv(double pv[2][3], double c[2][3]); +void eraCr(double r[3][3], double c[3][3]); +void eraP2pv(double p[3], double pv[2][3]); +void eraPv2p(double pv[2][3], double p[3]); + +/* VectorMatrix/Initialization */ +void eraIr(double r[3][3]); +void eraZp(double p[3]); +void eraZpv(double pv[2][3]); +void eraZr(double r[3][3]); + +/* VectorMatrix/MatrixOps */ +void eraRxr(double a[3][3], double b[3][3], double atb[3][3]); +void eraTr(double r[3][3], double rt[3][3]); + +/* VectorMatrix/MatrixVectorProducts */ +void eraRxp(double r[3][3], double p[3], double rp[3]); +void eraRxpv(double r[3][3], double pv[2][3], double rpv[2][3]); +void eraTrxp(double r[3][3], double p[3], double trp[3]); +void eraTrxpv(double r[3][3], double pv[2][3], double trpv[2][3]); + +/* VectorMatrix/RotationVectors */ +void eraRm2v(double r[3][3], double w[3]); +void eraRv2m(double w[3], double r[3][3]); + +/* VectorMatrix/SeparationAndAngle */ +double eraPap(double a[3], double b[3]); +double eraPas(double al, double ap, double bl, double bp); +double eraSepp(double a[3], double b[3]); +double eraSeps(double al, double ap, double bl, double bp); + +/* VectorMatrix/SphericalCartesian */ +void eraC2s(double p[3], double *theta, double *phi); +void eraP2s(double p[3], double *theta, double *phi, double *r); +void eraPv2s(double pv[2][3], + double *theta, double *phi, double *r, + double *td, double *pd, double *rd); +void eraS2c(double theta, double phi, double c[3]); +void eraS2p(double theta, double phi, double r, double p[3]); +void eraS2pv(double theta, double phi, double r, + double td, double pd, double rd, + double pv[2][3]); + +/* VectorMatrix/VectorOps */ +double eraPdp(double a[3], double b[3]); +double eraPm(double p[3]); +void eraPmp(double a[3], double b[3], double amb[3]); +void eraPn(double p[3], double *r, double u[3]); +void eraPpp(double a[3], double b[3], double apb[3]); +void eraPpsp(double a[3], double s, double b[3], double apsb[3]); +void eraPvdpv(double a[2][3], double b[2][3], double adb[2]); +void eraPvm(double pv[2][3], double *r, double *s); +void eraPvmpv(double a[2][3], double b[2][3], double amb[2][3]); +void eraPvppv(double a[2][3], double b[2][3], double apb[2][3]); +void eraPvu(double dt, double pv[2][3], double upv[2][3]); +void eraPvup(double dt, double pv[2][3], double p[3]); +void eraPvxpv(double a[2][3], double b[2][3], double axb[2][3]); +void eraPxp(double a[3], double b[3], double axb[3]); +void eraS2xpv(double s1, double s2, double pv[2][3], double spv[2][3]); +void eraSxp(double s, double p[3], double sp[3]); +void eraSxpv(double s, double pv[2][3], double spv[2][3]); + +#ifdef __cplusplus +} +#endif + +#endif + + +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/erfam.h b/ast/erfa/erfam.h new file mode 100644 index 0000000..f6d8b71 --- /dev/null +++ b/ast/erfa/erfam.h @@ -0,0 +1,208 @@ +#ifndef ERFAMHDEF +#define ERFAMHDEF + +/* +** - - - - - - - - +** e r f a m . h +** - - - - - - - - +** +** Macros used by ERFA library. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ + +/* Star-independent astrometry parameters */ +typedef struct { + double pmt; /* PM time interval (SSB, Julian years) */ + double eb[3]; /* SSB to observer (vector, au) */ + double eh[3]; /* Sun to observer (unit vector) */ + double em; /* distance from Sun to observer (au) */ + double v[3]; /* barycentric observer velocity (vector, c) */ + double bm1; /* sqrt(1-|v|^2): reciprocal of Lorenz factor */ + double bpn[3][3]; /* bias-precession-nutation matrix */ + double along; /* longitude + s' + dERA(DUT) (radians) */ + double phi; /* geodetic latitude (radians) */ + double xpl; /* polar motion xp wrt local meridian (radians) */ + double ypl; /* polar motion yp wrt local meridian (radians) */ + double sphi; /* sine of geodetic latitude */ + double cphi; /* cosine of geodetic latitude */ + double diurab; /* magnitude of diurnal aberration vector */ + double eral; /* "local" Earth rotation angle (radians) */ + double refa; /* refraction constant A (radians) */ + double refb; /* refraction constant B (radians) */ +} eraASTROM; +/* (Vectors eb, eh, em and v are all with respect to BCRS axes.) */ + +/* Body parameters for light deflection */ +typedef struct { + double bm; /* mass of the body (solar masses) */ + double dl; /* deflection limiter (radians^2/2) */ + double pv[2][3]; /* barycentric PV of the body (au, au/day) */ +} eraLDBODY; + +/* Pi */ +#define ERFA_DPI (3.141592653589793238462643) + +/* 2Pi */ +#define ERFA_D2PI (6.283185307179586476925287) + +/* Radians to degrees */ +#define ERFA_DR2D (57.29577951308232087679815) + +/* Degrees to radians */ +#define ERFA_DD2R (1.745329251994329576923691e-2) + +/* Radians to arcseconds */ +#define ERFA_DR2AS (206264.8062470963551564734) + +/* Arcseconds to radians */ +#define ERFA_DAS2R (4.848136811095359935899141e-6) + +/* Seconds of time to radians */ +#define ERFA_DS2R (7.272205216643039903848712e-5) + +/* Arcseconds in a full circle */ +#define ERFA_TURNAS (1296000.0) + +/* Milliarcseconds to radians */ +#define ERFA_DMAS2R (ERFA_DAS2R / 1e3) + +/* Length of tropical year B1900 (days) */ +#define ERFA_DTY (365.242198781) + +/* Seconds per day. */ +#define ERFA_DAYSEC (86400.0) + +/* Days per Julian year */ +#define ERFA_DJY (365.25) + +/* Days per Julian century */ +#define ERFA_DJC (36525.0) + +/* Days per Julian millennium */ +#define ERFA_DJM (365250.0) + +/* Reference epoch (J2000.0), Julian Date */ +#define ERFA_DJ00 (2451545.0) + +/* Julian Date of Modified Julian Date zero */ +#define ERFA_DJM0 (2400000.5) + +/* Reference epoch (J2000.0), Modified Julian Date */ +#define ERFA_DJM00 (51544.5) + +/* 1977 Jan 1.0 as MJD */ +#define ERFA_DJM77 (43144.0) + +/* TT minus TAI (s) */ +#define ERFA_TTMTAI (32.184) + +/* Astronomical unit (m) */ +#define ERFA_DAU (149597870e3) + +/* Speed of light (m/s) */ +#define ERFA_CMPS 299792458.0 + +/* Light time for 1 au (s) */ +#define ERFA_AULT 499.004782 + +/* Speed of light (AU per day) */ +#define ERFA_DC (ERFA_DAYSEC / ERFA_AULT) + +/* L_G = 1 - d(TT)/d(TCG) */ +#define ERFA_ELG (6.969290134e-10) + +/* L_B = 1 - d(TDB)/d(TCB), and TDB (s) at TAI 1977/1/1.0 */ +#define ERFA_ELB (1.550519768e-8) +#define ERFA_TDB0 (-6.55e-5) + +/* Schwarzschild radius of the Sun (au) */ +/* = 2 * 1.32712440041e20 / (2.99792458e8)^2 / 1.49597870700e11 */ +#define ERFA_SRS 1.97412574336e-8 + +/* ERFA_DINT(A) - truncate to nearest whole number towards zero (double) */ +#define ERFA_DINT(A) ((A)<0.0?ceil(A):floor(A)) + +/* ERFA_DNINT(A) - round to nearest whole number (double) */ +#define ERFA_DNINT(A) ((A)<0.0?ceil((A)-0.5):floor((A)+0.5)) + +/* ERFA_DSIGN(A,B) - magnitude of A with sign of B (double) */ +#define ERFA_DSIGN(A,B) ((B)<0.0?-fabs(A):fabs(A)) + +/* max(A,B) - larger (most +ve) of two numbers (generic) */ +#define ERFA_GMAX(A,B) (((A)>(B))?(A):(B)) + +/* min(A,B) - smaller (least +ve) of two numbers (generic) */ +#define ERFA_GMIN(A,B) (((A)<(B))?(A):(B)) + +/* Reference ellipsoids */ +#define ERFA_WGS84 1 +#define ERFA_GRS80 2 +#define ERFA_WGS72 3 + +#endif + + +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fad03.c b/ast/erfa/fad03.c new file mode 100644 index 0000000..5f10c0f --- /dev/null +++ b/ast/erfa/fad03.c @@ -0,0 +1,112 @@ +#include "erfa.h" + +double eraFad03(double t) +/* +** - - - - - - - - - +** e r a F a d 0 3 +** - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** mean elongation of the Moon from the Sun. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double D, radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003) and +** is from Simon et al. (1994). +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* Mean elongation of the Moon from the Sun (IERS Conventions 2003). */ + a = fmod( 1072260.703692 + + t * ( 1602961601.2090 + + t * ( - 6.3706 + + t * ( 0.006593 + + t * ( - 0.00003169 ) ) ) ), ERFA_TURNAS ) * ERFA_DAS2R; + + return a; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fae03.c b/ast/erfa/fae03.c new file mode 100644 index 0000000..c332ee4 --- /dev/null +++ b/ast/erfa/fae03.c @@ -0,0 +1,111 @@ +#include "erfa.h" + +double eraFae03(double t) +/* +** - - - - - - - - - +** e r a F a e 0 3 +** - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** mean longitude of Earth. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double mean longitude of Earth, radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003) and +** comes from Souchay et al. (1999) after Simon et al. (1994). +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, +** Astron.Astrophys.Supp.Ser. 135, 111 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* Mean longitude of Earth (IERS Conventions 2003). */ + a = fmod(1.753470314 + 628.3075849991 * t, ERFA_D2PI); + + return a; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/faf03.c b/ast/erfa/faf03.c new file mode 100644 index 0000000..74e8e6b --- /dev/null +++ b/ast/erfa/faf03.c @@ -0,0 +1,115 @@ +#include "erfa.h" + +double eraFaf03(double t) +/* +** - - - - - - - - - +** e r a F a f 0 3 +** - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** mean longitude of the Moon minus mean longitude of the ascending +** node. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double F, radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003) and +** is from Simon et al. (1994). +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* Mean longitude of the Moon minus that of the ascending node */ +/* (IERS Conventions 2003). */ + a = fmod( 335779.526232 + + t * ( 1739527262.8478 + + t * ( - 12.7512 + + t * ( - 0.001037 + + t * ( 0.00000417 ) ) ) ), ERFA_TURNAS ) * ERFA_DAS2R; + + return a; + + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/faju03.c b/ast/erfa/faju03.c new file mode 100644 index 0000000..28988b7 --- /dev/null +++ b/ast/erfa/faju03.c @@ -0,0 +1,111 @@ +#include "erfa.h" + +double eraFaju03(double t) +/* +** - - - - - - - - - - +** e r a F a j u 0 3 +** - - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** mean longitude of Jupiter. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double mean longitude of Jupiter, radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003) and +** comes from Souchay et al. (1999) after Simon et al. (1994). +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, +** Astron.Astrophys.Supp.Ser. 135, 111 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* Mean longitude of Jupiter (IERS Conventions 2003). */ + a = fmod(0.599546497 + 52.9690962641 * t, ERFA_D2PI); + + return a; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fal03.c b/ast/erfa/fal03.c new file mode 100644 index 0000000..648f733 --- /dev/null +++ b/ast/erfa/fal03.c @@ -0,0 +1,112 @@ +#include "erfa.h" + +double eraFal03(double t) +/* +** - - - - - - - - - +** e r a F a l 0 3 +** - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** mean anomaly of the Moon. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double l, radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003) and +** is from Simon et al. (1994). +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* Mean anomaly of the Moon (IERS Conventions 2003). */ + a = fmod( 485868.249036 + + t * ( 1717915923.2178 + + t * ( 31.8792 + + t * ( 0.051635 + + t * ( - 0.00024470 ) ) ) ), ERFA_TURNAS ) * ERFA_DAS2R; + + return a; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/falp03.c b/ast/erfa/falp03.c new file mode 100644 index 0000000..c299837 --- /dev/null +++ b/ast/erfa/falp03.c @@ -0,0 +1,112 @@ +#include "erfa.h" + +double eraFalp03(double t) +/* +** - - - - - - - - - - +** e r a F a l p 0 3 +** - - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** mean anomaly of the Sun. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double l', radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003) and +** is from Simon et al. (1994). +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* Mean anomaly of the Sun (IERS Conventions 2003). */ + a = fmod( 1287104.793048 + + t * ( 129596581.0481 + + t * ( - 0.5532 + + t * ( 0.000136 + + t * ( - 0.00001149 ) ) ) ), ERFA_TURNAS ) * ERFA_DAS2R; + + return a; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fama03.c b/ast/erfa/fama03.c new file mode 100644 index 0000000..770c82b --- /dev/null +++ b/ast/erfa/fama03.c @@ -0,0 +1,111 @@ +#include "erfa.h" + +double eraFama03(double t) +/* +** - - - - - - - - - - +** e r a F a m a 0 3 +** - - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** mean longitude of Mars. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double mean longitude of Mars, radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003) and +** comes from Souchay et al. (1999) after Simon et al. (1994). +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, +** Astron.Astrophys.Supp.Ser. 135, 111 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* Mean longitude of Mars (IERS Conventions 2003). */ + a = fmod(6.203480913 + 334.0612426700 * t, ERFA_D2PI); + + return a; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fame03.c b/ast/erfa/fame03.c new file mode 100644 index 0000000..74caff8 --- /dev/null +++ b/ast/erfa/fame03.c @@ -0,0 +1,111 @@ +#include "erfa.h" + +double eraFame03(double t) +/* +** - - - - - - - - - - +** e r a F a m e 0 3 +** - - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** mean longitude of Mercury. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double mean longitude of Mercury, radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003) and +** comes from Souchay et al. (1999) after Simon et al. (1994). +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, +** Astron.Astrophys.Supp.Ser. 135, 111 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* Mean longitude of Mercury (IERS Conventions 2003). */ + a = fmod(4.402608842 + 2608.7903141574 * t, ERFA_D2PI); + + return a; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fane03.c b/ast/erfa/fane03.c new file mode 100644 index 0000000..66b13e6 --- /dev/null +++ b/ast/erfa/fane03.c @@ -0,0 +1,108 @@ +#include "erfa.h" + +double eraFane03(double t) +/* +** - - - - - - - - - - +** e r a F a n e 0 3 +** - - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** mean longitude of Neptune. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double mean longitude of Neptune, radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003) and +** is adapted from Simon et al. (1994). +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* Mean longitude of Neptune (IERS Conventions 2003). */ + a = fmod(5.311886287 + 3.8133035638 * t, ERFA_D2PI); + + return a; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/faom03.c b/ast/erfa/faom03.c new file mode 100644 index 0000000..b349466 --- /dev/null +++ b/ast/erfa/faom03.c @@ -0,0 +1,113 @@ +#include "erfa.h" + +double eraFaom03(double t) +/* +** - - - - - - - - - - +** e r a F a o m 0 3 +** - - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** mean longitude of the Moon's ascending node. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double Omega, radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003) and +** is from Simon et al. (1994). +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* Mean longitude of the Moon's ascending node */ +/* (IERS Conventions 2003). */ + a = fmod( 450160.398036 + + t * ( - 6962890.5431 + + t * ( 7.4722 + + t * ( 0.007702 + + t * ( - 0.00005939 ) ) ) ), ERFA_TURNAS ) * ERFA_DAS2R; + + return a; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fapa03.c b/ast/erfa/fapa03.c new file mode 100644 index 0000000..3db1ac8 --- /dev/null +++ b/ast/erfa/fapa03.c @@ -0,0 +1,112 @@ +#include "erfa.h" + +double eraFapa03(double t) +/* +** - - - - - - - - - - +** e r a F a p a 0 3 +** - - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** general accumulated precession in longitude. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double general precession in longitude, radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003). It +** is taken from Kinoshita & Souchay (1990) and comes originally +** from Lieske et al. (1977). +** +** References: +** +** Kinoshita, H. and Souchay J. 1990, Celest.Mech. and Dyn.Astron. +** 48, 187 +** +** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977, +** Astron.Astrophys. 58, 1-16 +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* General accumulated precession in longitude. */ + a = (0.024381750 + 0.00000538691 * t) * t; + + return a; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fasa03.c b/ast/erfa/fasa03.c new file mode 100644 index 0000000..1f19e2b --- /dev/null +++ b/ast/erfa/fasa03.c @@ -0,0 +1,111 @@ +#include "erfa.h" + +double eraFasa03(double t) +/* +** - - - - - - - - - - +** e r a F a s a 0 3 +** - - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** mean longitude of Saturn. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double mean longitude of Saturn, radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003) and +** comes from Souchay et al. (1999) after Simon et al. (1994). +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, +** Astron.Astrophys.Supp.Ser. 135, 111 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* Mean longitude of Saturn (IERS Conventions 2003). */ + a = fmod(0.874016757 + 21.3299104960 * t, ERFA_D2PI); + + return a; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/faur03.c b/ast/erfa/faur03.c new file mode 100644 index 0000000..f15a9b8 --- /dev/null +++ b/ast/erfa/faur03.c @@ -0,0 +1,108 @@ +#include "erfa.h" + +double eraFaur03(double t) +/* +** - - - - - - - - - - +** e r a F a u r 0 3 +** - - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** mean longitude of Uranus. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double mean longitude of Uranus, radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003) and +** is adapted from Simon et al. (1994). +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* Mean longitude of Uranus (IERS Conventions 2003). */ + a = fmod(5.481293872 + 7.4781598567 * t, ERFA_D2PI); + + return a; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fave03.c b/ast/erfa/fave03.c new file mode 100644 index 0000000..0f60dd3 --- /dev/null +++ b/ast/erfa/fave03.c @@ -0,0 +1,111 @@ +#include "erfa.h" + +double eraFave03(double t) +/* +** - - - - - - - - - - +** e r a F a v e 0 3 +** - - - - - - - - - - +** +** Fundamental argument, IERS Conventions (2003): +** mean longitude of Venus. +** +** Given: +** t double TDB, Julian centuries since J2000.0 (Note 1) +** +** Returned (function value): +** double mean longitude of Venus, radians (Note 2) +** +** Notes: +** +** 1) Though t is strictly TDB, it is usually more convenient to use +** TT, which makes no significant difference. +** +** 2) The expression used is as adopted in IERS Conventions (2003) and +** comes from Souchay et al. (1999) after Simon et al. (1994). +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, +** Astron.Astrophys.Supp.Ser. 135, 111 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double a; + + +/* Mean longitude of Venus (IERS Conventions 2003). */ + a = fmod(3.176146697 + 1021.3285546211 * t, ERFA_D2PI); + + return a; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fk52h.c b/ast/erfa/fk52h.c new file mode 100644 index 0000000..59bdaa1 --- /dev/null +++ b/ast/erfa/fk52h.c @@ -0,0 +1,152 @@ +#include "erfa.h" + +void eraFk52h(double r5, double d5, + double dr5, double dd5, double px5, double rv5, + double *rh, double *dh, + double *drh, double *ddh, double *pxh, double *rvh) +/* +** - - - - - - - - - +** e r a F k 5 2 h +** - - - - - - - - - +** +** Transform FK5 (J2000.0) star data into the Hipparcos system. +** +** Given (all FK5, equinox J2000.0, epoch J2000.0): +** r5 double RA (radians) +** d5 double Dec (radians) +** dr5 double proper motion in RA (dRA/dt, rad/Jyear) +** dd5 double proper motion in Dec (dDec/dt, rad/Jyear) +** px5 double parallax (arcsec) +** rv5 double radial velocity (km/s, positive = receding) +** +** Returned (all Hipparcos, epoch J2000.0): +** rh double RA (radians) +** dh double Dec (radians) +** drh double proper motion in RA (dRA/dt, rad/Jyear) +** ddh double proper motion in Dec (dDec/dt, rad/Jyear) +** pxh double parallax (arcsec) +** rvh double radial velocity (km/s, positive = receding) +** +** Notes: +** +** 1) This function transforms FK5 star positions and proper motions +** into the system of the Hipparcos catalog. +** +** 2) The proper motions in RA are dRA/dt rather than +** cos(Dec)*dRA/dt, and are per year rather than per century. +** +** 3) The FK5 to Hipparcos transformation is modeled as a pure +** rotation and spin; zonal errors in the FK5 catalog are not +** taken into account. +** +** 4) See also eraH2fk5, eraFk5hz, eraHfk5z. +** +** Called: +** eraStarpv star catalog data to space motion pv-vector +** eraFk5hip FK5 to Hipparcos rotation and spin +** eraRxp product of r-matrix and p-vector +** eraPxp vector product of two p-vectors +** eraPpp p-vector plus p-vector +** eraPvstar space motion pv-vector to star catalog data +** +** Reference: +** +** F.Mignard & M.Froeschle, Astron. Astrophys. 354, 732-739 (2000). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int i; + double pv5[2][3], r5h[3][3], s5h[3], wxp[3], vv[3], pvh[2][3]; + + +/* FK5 barycentric position/velocity pv-vector (normalized). */ + eraStarpv(r5, d5, dr5, dd5, px5, rv5, pv5); + +/* FK5 to Hipparcos orientation matrix and spin vector. */ + eraFk5hip(r5h, s5h); + +/* Make spin units per day instead of per year. */ + for ( i = 0; i < 3; s5h[i++] /= 365.25 ); + +/* Orient the FK5 position into the Hipparcos system. */ + eraRxp(r5h, pv5[0], pvh[0]); + +/* Apply spin to the position giving an extra space motion component. */ + eraPxp(pv5[0], s5h, wxp); + +/* Add this component to the FK5 space motion. */ + eraPpp(wxp, pv5[1], vv); + +/* Orient the FK5 space motion into the Hipparcos system. */ + eraRxp(r5h, vv, pvh[1]); + +/* Hipparcos pv-vector to spherical. */ + eraPvstar(pvh, rh, dh, drh, ddh, pxh, rvh); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fk5hip.c b/ast/erfa/fk5hip.c new file mode 100644 index 0000000..77299f3 --- /dev/null +++ b/ast/erfa/fk5hip.c @@ -0,0 +1,135 @@ +#include "erfa.h" + +void eraFk5hip(double r5h[3][3], double s5h[3]) +/* +** - - - - - - - - - - +** e r a F k 5 h i p +** - - - - - - - - - - +** +** FK5 to Hipparcos rotation and spin. +** +** Returned: +** r5h double[3][3] r-matrix: FK5 rotation wrt Hipparcos (Note 2) +** s5h double[3] r-vector: FK5 spin wrt Hipparcos (Note 3) +** +** Notes: +** +** 1) This function models the FK5 to Hipparcos transformation as a +** pure rotation and spin; zonal errors in the FK5 catalogue are +** not taken into account. +** +** 2) The r-matrix r5h operates in the sense: +** +** P_Hipparcos = r5h x P_FK5 +** +** where P_FK5 is a p-vector in the FK5 frame, and P_Hipparcos is +** the equivalent Hipparcos p-vector. +** +** 3) The r-vector s5h represents the time derivative of the FK5 to +** Hipparcos rotation. The units are radians per year (Julian, +** TDB). +** +** Called: +** eraRv2m r-vector to r-matrix +** +** Reference: +** +** F.Mignard & M.Froeschle, Astron. Astrophys. 354, 732-739 (2000). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double v[3]; + +/* FK5 wrt Hipparcos orientation and spin (radians, radians/year) */ + double epx, epy, epz; + double omx, omy, omz; + + + epx = -19.9e-3 * ERFA_DAS2R; + epy = -9.1e-3 * ERFA_DAS2R; + epz = 22.9e-3 * ERFA_DAS2R; + + omx = -0.30e-3 * ERFA_DAS2R; + omy = 0.60e-3 * ERFA_DAS2R; + omz = 0.70e-3 * ERFA_DAS2R; + +/* FK5 to Hipparcos orientation expressed as an r-vector. */ + v[0] = epx; + v[1] = epy; + v[2] = epz; + +/* Re-express as an r-matrix. */ + eraRv2m(v, r5h); + +/* Hipparcos wrt FK5 spin expressed as an r-vector. */ + s5h[0] = omx; + s5h[1] = omy; + s5h[2] = omz; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fk5hz.c b/ast/erfa/fk5hz.c new file mode 100644 index 0000000..7481783 --- /dev/null +++ b/ast/erfa/fk5hz.c @@ -0,0 +1,169 @@ +#include "erfa.h" + +void eraFk5hz(double r5, double d5, double date1, double date2, + double *rh, double *dh) +/* +** - - - - - - - - - +** e r a F k 5 h z +** - - - - - - - - - +** +** Transform an FK5 (J2000.0) star position into the system of the +** Hipparcos catalogue, assuming zero Hipparcos proper motion. +** +** Given: +** r5 double FK5 RA (radians), equinox J2000.0, at date +** d5 double FK5 Dec (radians), equinox J2000.0, at date +** date1,date2 double TDB date (Notes 1,2) +** +** Returned: +** rh double Hipparcos RA (radians) +** dh double Hipparcos Dec (radians) +** +** Notes: +** +** 1) This function converts a star position from the FK5 system to +** the Hipparcos system, in such a way that the Hipparcos proper +** motion is zero. Because such a star has, in general, a non-zero +** proper motion in the FK5 system, the function requires the date +** at which the position in the FK5 system was determined. +** +** 2) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 3) The FK5 to Hipparcos transformation is modeled as a pure +** rotation and spin; zonal errors in the FK5 catalogue are not +** taken into account. +** +** 4) The position returned by this function is in the Hipparcos +** reference system but at date date1+date2. +** +** 5) See also eraFk52h, eraH2fk5, eraHfk5z. +** +** Called: +** eraS2c spherical coordinates to unit vector +** eraFk5hip FK5 to Hipparcos rotation and spin +** eraSxp multiply p-vector by scalar +** eraRv2m r-vector to r-matrix +** eraTrxp product of transpose of r-matrix and p-vector +** eraPxp vector product of two p-vectors +** eraC2s p-vector to spherical +** eraAnp normalize angle into range 0 to 2pi +** +** Reference: +** +** F.Mignard & M.Froeschle, 2000, Astron.Astrophys. 354, 732-739. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t, p5e[3], r5h[3][3], s5h[3], vst[3], rst[3][3], p5[3], + ph[3], w; + + +/* Interval from given date to fundamental epoch J2000.0 (JY). */ + t = - ((date1 - ERFA_DJ00) + date2) / ERFA_DJY; + +/* FK5 barycentric position vector. */ + eraS2c(r5, d5, p5e); + +/* FK5 to Hipparcos orientation matrix and spin vector. */ + eraFk5hip(r5h, s5h); + +/* Accumulated Hipparcos wrt FK5 spin over that interval. */ + eraSxp(t, s5h, vst); + +/* Express the accumulated spin as a rotation matrix. */ + eraRv2m(vst, rst); + +/* Derotate the vector's FK5 axes back to date. */ + eraTrxp(rst, p5e, p5); + +/* Rotate the vector into the Hipparcos system. */ + eraRxp(r5h, p5, ph); + +/* Hipparcos vector to spherical. */ + eraC2s(ph, &w, dh); + *rh = eraAnp(w); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fw2m.c b/ast/erfa/fw2m.c new file mode 100644 index 0000000..a66bf22 --- /dev/null +++ b/ast/erfa/fw2m.c @@ -0,0 +1,143 @@ +#include "erfa.h" + +void eraFw2m(double gamb, double phib, double psi, double eps, + double r[3][3]) +/* +** - - - - - - - - +** e r a F w 2 m +** - - - - - - - - +** +** Form rotation matrix given the Fukushima-Williams angles. +** +** Given: +** gamb double F-W angle gamma_bar (radians) +** phib double F-W angle phi_bar (radians) +** psi double F-W angle psi (radians) +** eps double F-W angle epsilon (radians) +** +** Returned: +** r double[3][3] rotation matrix +** +** Notes: +** +** 1) Naming the following points: +** +** e = J2000.0 ecliptic pole, +** p = GCRS pole, +** E = ecliptic pole of date, +** and P = CIP, +** +** the four Fukushima-Williams angles are as follows: +** +** gamb = gamma = epE +** phib = phi = pE +** psi = psi = pEP +** eps = epsilon = EP +** +** 2) The matrix representing the combined effects of frame bias, +** precession and nutation is: +** +** NxPxB = R_1(-eps).R_3(-psi).R_1(phib).R_3(gamb) +** +** 3) Three different matrices can be constructed, depending on the +** supplied angles: +** +** o To obtain the nutation x precession x frame bias matrix, +** generate the four precession angles, generate the nutation +** components and add them to the psi_bar and epsilon_A angles, +** and call the present function. +** +** o To obtain the precession x frame bias matrix, generate the +** four precession angles and call the present function. +** +** o To obtain the frame bias matrix, generate the four precession +** angles for date J2000.0 and call the present function. +** +** The nutation-only and precession-only matrices can if necessary +** be obtained by combining these three appropriately. +** +** Called: +** eraIr initialize r-matrix to identity +** eraRz rotate around Z-axis +** eraRx rotate around X-axis +** +** Reference: +** +** Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Construct the matrix. */ + eraIr(r); + eraRz(gamb, r); + eraRx(phib, r); + eraRz(-psi, r); + eraRx(-eps, r); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/fw2xy.c b/ast/erfa/fw2xy.c new file mode 100644 index 0000000..0ef2a74 --- /dev/null +++ b/ast/erfa/fw2xy.c @@ -0,0 +1,130 @@ +#include "erfa.h" + +void eraFw2xy(double gamb, double phib, double psi, double eps, + double *x, double *y) +/* +** - - - - - - - - - +** e r a F w 2 x y +** - - - - - - - - - +** +** CIP X,Y given Fukushima-Williams bias-precession-nutation angles. +** +** Given: +** gamb double F-W angle gamma_bar (radians) +** phib double F-W angle phi_bar (radians) +** psi double F-W angle psi (radians) +** eps double F-W angle epsilon (radians) +** +** Returned: +** x,y double CIP unit vector X,Y +** +** Notes: +** +** 1) Naming the following points: +** +** e = J2000.0 ecliptic pole, +** p = GCRS pole +** E = ecliptic pole of date, +** and P = CIP, +** +** the four Fukushima-Williams angles are as follows: +** +** gamb = gamma = epE +** phib = phi = pE +** psi = psi = pEP +** eps = epsilon = EP +** +** 2) The matrix representing the combined effects of frame bias, +** precession and nutation is: +** +** NxPxB = R_1(-epsA).R_3(-psi).R_1(phib).R_3(gamb) +** +** The returned values x,y are elements [2][0] and [2][1] of the +** matrix. Near J2000.0, they are essentially angles in radians. +** +** Called: +** eraFw2m F-W angles to r-matrix +** eraBpn2xy extract CIP X,Y coordinates from NPB matrix +** +** Reference: +** +** Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double r[3][3]; + + +/* Form NxPxB matrix. */ + eraFw2m(gamb, phib, psi, eps, r); + +/* Extract CIP X,Y. */ + eraBpn2xy(r, x, y); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/gc2gd.c b/ast/erfa/gc2gd.c new file mode 100644 index 0000000..ff5cc5d --- /dev/null +++ b/ast/erfa/gc2gd.c @@ -0,0 +1,143 @@ +#include "erfa.h" + +int eraGc2gd ( int n, double xyz[3], + double *elong, double *phi, double *height ) +/* +** - - - - - - - - - +** e r a G c 2 g d +** - - - - - - - - - +** +** Transform geocentric coordinates to geodetic using the specified +** reference ellipsoid. +** +** Given: +** n int ellipsoid identifier (Note 1) +** xyz double[3] geocentric vector (Note 2) +** +** Returned: +** elong double longitude (radians, east +ve, Note 3) +** phi double latitude (geodetic, radians, Note 3) +** height double height above ellipsoid (geodetic, Notes 2,3) +** +** Returned (function value): +** int status: 0 = OK +** -1 = illegal identifier (Note 3) +** -2 = internal error (Note 3) +** +** Notes: +** +** 1) The identifier n is a number that specifies the choice of +** reference ellipsoid. The following are supported: +** +** n ellipsoid +** +** 1 ERFA_WGS84 +** 2 ERFA_GRS80 +** 3 ERFA_WGS72 +** +** The n value has no significance outside the ERFA software. For +** convenience, symbols ERFA_WGS84 etc. are defined in erfam.h. +** +** 2) The geocentric vector (xyz, given) and height (height, returned) +** are in meters. +** +** 3) An error status -1 means that the identifier n is illegal. An +** error status -2 is theoretically impossible. In all error cases, +** all three results are set to -1e9. +** +** 4) The inverse transformation is performed in the function eraGd2gc. +** +** Called: +** eraEform Earth reference ellipsoids +** eraGc2gde geocentric to geodetic transformation, general +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int j; + double a, f; + + +/* Obtain reference ellipsoid parameters. */ + j = eraEform ( n, &a, &f ); + +/* If OK, transform x,y,z to longitude, geodetic latitude, height. */ + if ( j == 0 ) { + j = eraGc2gde ( a, f, xyz, elong, phi, height ); + if ( j < 0 ) j = -2; + } + +/* Deal with any errors. */ + if ( j < 0 ) { + *elong = -1e9; + *phi = -1e9; + *height = -1e9; + } + +/* Return the status. */ + return j; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/gc2gde.c b/ast/erfa/gc2gde.c new file mode 100644 index 0000000..6afa064 --- /dev/null +++ b/ast/erfa/gc2gde.c @@ -0,0 +1,208 @@ +#include "erfa.h" + +int eraGc2gde ( double a, double f, double xyz[3], + double *elong, double *phi, double *height ) +/* +** - - - - - - - - - - +** e r a G c 2 g d e +** - - - - - - - - - - +** +** Transform geocentric coordinates to geodetic for a reference +** ellipsoid of specified form. +** +** Given: +** a double equatorial radius (Notes 2,4) +** f double flattening (Note 3) +** xyz double[3] geocentric vector (Note 4) +** +** Returned: +** elong double longitude (radians, east +ve) +** phi double latitude (geodetic, radians) +** height double height above ellipsoid (geodetic, Note 4) +** +** Returned (function value): +** int status: 0 = OK +** -1 = illegal f +** -2 = illegal a +** +** Notes: +** +** 1) This function is based on the GCONV2H Fortran subroutine by +** Toshio Fukushima (see reference). +** +** 2) The equatorial radius, a, can be in any units, but meters is +** the conventional choice. +** +** 3) The flattening, f, is (for the Earth) a value around 0.00335, +** i.e. around 1/298. +** +** 4) The equatorial radius, a, and the geocentric vector, xyz, +** must be given in the same units, and determine the units of +** the returned height, height. +** +** 5) If an error occurs (status < 0), elong, phi and height are +** unchanged. +** +** 6) The inverse transformation is performed in the function +** eraGd2gce. +** +** 7) The transformation for a standard ellipsoid (such as ERFA_WGS84) can +** more conveniently be performed by calling eraGc2gd, which uses a +** numerical code to identify the required A and F values. +** +** Reference: +** +** Fukushima, T., "Transformation from Cartesian to geodetic +** coordinates accelerated by Halley's method", J.Geodesy (2006) +** 79: 689-693 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double aeps2, e2, e4t, ec2, ec, b, x, y, z, p2, absz, p, s0, pn, zc, + c0, c02, c03, s02, s03, a02, a0, a03, d0, f0, b0, s1, + cc, s12, cc2; + + +/* ------------- */ +/* Preliminaries */ +/* ------------- */ + +/* Validate ellipsoid parameters. */ + if ( f < 0.0 || f >= 1.0 ) return -1; + if ( a <= 0.0 ) return -2; + +/* Functions of ellipsoid parameters (with further validation of f). */ + aeps2 = a*a * 1e-32; + e2 = (2.0 - f) * f; + e4t = e2*e2 * 1.5; + ec2 = 1.0 - e2; + if ( ec2 <= 0.0 ) return -1; + ec = sqrt(ec2); + b = a * ec; + +/* Cartesian components. */ + x = xyz[0]; + y = xyz[1]; + z = xyz[2]; + +/* Distance from polar axis squared. */ + p2 = x*x + y*y; + +/* Longitude. */ + *elong = p2 != 0.0 ? atan2(y, x) : 0.0; + +/* Unsigned z-coordinate. */ + absz = fabs(z); + +/* Proceed unless polar case. */ + if ( p2 > aeps2 ) { + + /* Distance from polar axis. */ + p = sqrt(p2); + + /* Normalization. */ + s0 = absz / a; + pn = p / a; + zc = ec * s0; + + /* Prepare Newton correction factors. */ + c0 = ec * pn; + c02 = c0 * c0; + c03 = c02 * c0; + s02 = s0 * s0; + s03 = s02 * s0; + a02 = c02 + s02; + a0 = sqrt(a02); + a03 = a02 * a0; + d0 = zc*a03 + e2*s03; + f0 = pn*a03 - e2*c03; + + /* Prepare Halley correction factor. */ + b0 = e4t * s02 * c02 * pn * (a0 - ec); + s1 = d0*f0 - b0*s0; + cc = ec * (f0*f0 - b0*c0); + + /* Evaluate latitude and height. */ + *phi = atan(s1/cc); + s12 = s1 * s1; + cc2 = cc * cc; + *height = (p*cc + absz*s1 - a * sqrt(ec2*s12 + cc2)) / + sqrt(s12 + cc2); + } else { + + /* Exception: pole. */ + *phi = ERFA_DPI / 2.0; + *height = absz - b; + } + +/* Restore sign of latitude. */ + if ( z < 0 ) *phi = -*phi; + +/* OK status. */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/gd2gc.c b/ast/erfa/gd2gc.c new file mode 100644 index 0000000..d6bc399 --- /dev/null +++ b/ast/erfa/gd2gc.c @@ -0,0 +1,142 @@ +#include "erfa.h" + +int eraGd2gc ( int n, double elong, double phi, double height, + double xyz[3] ) +/* +** - - - - - - - - - +** e r a G d 2 g c +** - - - - - - - - - +** +** Transform geodetic coordinates to geocentric using the specified +** reference ellipsoid. +** +** Given: +** n int ellipsoid identifier (Note 1) +** elong double longitude (radians, east +ve) +** phi double latitude (geodetic, radians, Note 3) +** height double height above ellipsoid (geodetic, Notes 2,3) +** +** Returned: +** xyz double[3] geocentric vector (Note 2) +** +** Returned (function value): +** int status: 0 = OK +** -1 = illegal identifier (Note 3) +** -2 = illegal case (Note 3) +** +** Notes: +** +** 1) The identifier n is a number that specifies the choice of +** reference ellipsoid. The following are supported: +** +** n ellipsoid +** +** 1 ERFA_WGS84 +** 2 ERFA_GRS80 +** 3 ERFA_WGS72 +** +** The n value has no significance outside the ERFA software. For +** convenience, symbols ERFA_WGS84 etc. are defined in erfam.h. +** +** 2) The height (height, given) and the geocentric vector (xyz, +** returned) are in meters. +** +** 3) No validation is performed on the arguments elong, phi and +** height. An error status -1 means that the identifier n is +** illegal. An error status -2 protects against cases that would +** lead to arithmetic exceptions. In all error cases, xyz is set +** to zeros. +** +** 4) The inverse transformation is performed in the function eraGc2gd. +** +** Called: +** eraEform Earth reference ellipsoids +** eraGd2gce geodetic to geocentric transformation, general +** eraZp zero p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int j; + double a, f; + + +/* Obtain reference ellipsoid parameters. */ + j = eraEform ( n, &a, &f ); + +/* If OK, transform longitude, geodetic latitude, height to x,y,z. */ + if ( j == 0 ) { + j = eraGd2gce ( a, f, elong, phi, height, xyz ); + if ( j != 0 ) j = -2; + } + +/* Deal with any errors. */ + if ( j != 0 ) eraZp ( xyz ); + +/* Return the status. */ + return j; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/gd2gce.c b/ast/erfa/gd2gce.c new file mode 100644 index 0000000..5aae512 --- /dev/null +++ b/ast/erfa/gd2gce.c @@ -0,0 +1,146 @@ +#include "erfa.h" + +int eraGd2gce ( double a, double f, double elong, double phi, + double height, double xyz[3] ) +/* +** - - - - - - - - - - +** e r a G d 2 g c e +** - - - - - - - - - - +** +** Transform geodetic coordinates to geocentric for a reference +** ellipsoid of specified form. +** +** Given: +** a double equatorial radius (Notes 1,4) +** f double flattening (Notes 2,4) +** elong double longitude (radians, east +ve) +** phi double latitude (geodetic, radians, Note 4) +** height double height above ellipsoid (geodetic, Notes 3,4) +** +** Returned: +** xyz double[3] geocentric vector (Note 3) +** +** Returned (function value): +** int status: 0 = OK +** -1 = illegal case (Note 4) +** Notes: +** +** 1) The equatorial radius, a, can be in any units, but meters is +** the conventional choice. +** +** 2) The flattening, f, is (for the Earth) a value around 0.00335, +** i.e. around 1/298. +** +** 3) The equatorial radius, a, and the height, height, must be +** given in the same units, and determine the units of the +** returned geocentric vector, xyz. +** +** 4) No validation is performed on individual arguments. The error +** status -1 protects against (unrealistic) cases that would lead +** to arithmetic exceptions. If an error occurs, xyz is unchanged. +** +** 5) The inverse transformation is performed in the function +** eraGc2gde. +** +** 6) The transformation for a standard ellipsoid (such as ERFA_WGS84) can +** more conveniently be performed by calling eraGd2gc, which uses a +** numerical code to identify the required a and f values. +** +** References: +** +** Green, R.M., Spherical Astronomy, Cambridge University Press, +** (1985) Section 4.5, p96. +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992), +** Section 4.22, p202. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double sp, cp, w, d, ac, as, r; + + +/* Functions of geodetic latitude. */ + sp = sin(phi); + cp = cos(phi); + w = 1.0 - f; + w = w * w; + d = cp*cp + w*sp*sp; + if ( d <= 0.0 ) return -1; + ac = a / sqrt(d); + as = w * ac; + +/* Geocentric vector. */ + r = (ac + height) * cp; + xyz[0] = r * cos(elong); + xyz[1] = r * sin(elong); + xyz[2] = (as + height) * sp; + +/* Success. */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/gmst00.c b/ast/erfa/gmst00.c new file mode 100644 index 0000000..8b3d51e --- /dev/null +++ b/ast/erfa/gmst00.c @@ -0,0 +1,154 @@ +#include "erfa.h" + +double eraGmst00(double uta, double utb, double tta, double ttb) +/* +** - - - - - - - - - - +** e r a G m s t 0 0 +** - - - - - - - - - - +** +** Greenwich mean sidereal time (model consistent with IAU 2000 +** resolutions). +** +** Given: +** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2) +** tta,ttb double TT as a 2-part Julian Date (Notes 1,2) +** +** Returned (function value): +** double Greenwich mean sidereal time (radians) +** +** Notes: +** +** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both +** Julian Dates, apportioned in any convenient way between the +** argument pairs. For example, JD=2450123.7 could be expressed in +** any of these ways, among others: +** +** Part A Part B +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable (in the case of UT; the TT is not at all critical +** in this respect). The J2000 and MJD methods are good compromises +** between resolution and convenience. For UT, the date & time +** method is best matched to the algorithm that is used by the Earth +** Rotation Angle function, called internally: maximum precision is +** delivered when the uta argument is for 0hrs UT1 on the day in +** question and the utb argument lies in the range 0 to 1, or vice +** versa. +** +** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation +** and TT to predict the effects of precession. If UT1 is used for +** both purposes, errors of order 100 microarcseconds result. +** +** 3) This GMST is compatible with the IAU 2000 resolutions and must be +** used only in conjunction with other IAU 2000 compatible +** components such as precession-nutation and equation of the +** equinoxes. +** +** 4) The result is returned in the range 0 to 2pi. +** +** 5) The algorithm is from Capitaine et al. (2003) and IERS +** Conventions 2003. +** +** Called: +** eraEra00 Earth rotation angle, IAU 2000 +** eraAnp normalize angle into range 0 to 2pi +** +** References: +** +** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to +** implement the IAU 2000 definition of UT1", Astronomy & +** Astrophysics, 406, 1135-1149 (2003) +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t, gmst; + + +/* TT Julian centuries since J2000.0. */ + t = ((tta - ERFA_DJ00) + ttb) / ERFA_DJC; + +/* Greenwich Mean Sidereal Time, IAU 2000. */ + gmst = eraAnp(eraEra00(uta, utb) + + ( 0.014506 + + ( 4612.15739966 + + ( 1.39667721 + + ( -0.00009344 + + ( 0.00001882 ) + * t) * t) * t) * t) * ERFA_DAS2R); + + return gmst; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/gmst06.c b/ast/erfa/gmst06.c new file mode 100644 index 0000000..a79045d --- /dev/null +++ b/ast/erfa/gmst06.c @@ -0,0 +1,145 @@ +#include "erfa.h" + +double eraGmst06(double uta, double utb, double tta, double ttb) +/* +** - - - - - - - - - - +** e r a G m s t 0 6 +** - - - - - - - - - - +** +** Greenwich mean sidereal time (consistent with IAU 2006 precession). +** +** Given: +** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2) +** tta,ttb double TT as a 2-part Julian Date (Notes 1,2) +** +** Returned (function value): +** double Greenwich mean sidereal time (radians) +** +** Notes: +** +** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both +** Julian Dates, apportioned in any convenient way between the +** argument pairs. For example, JD=2450123.7 could be expressed in +** any of these ways, among others: +** +** Part A Part B +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable (in the case of UT; the TT is not at all critical +** in this respect). The J2000 and MJD methods are good compromises +** between resolution and convenience. For UT, the date & time +** method is best matched to the algorithm that is used by the Earth +** rotation angle function, called internally: maximum precision is +** delivered when the uta argument is for 0hrs UT1 on the day in +** question and the utb argument lies in the range 0 to 1, or vice +** versa. +** +** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation +** and TT to predict the effects of precession. If UT1 is used for +** both purposes, errors of order 100 microarcseconds result. +** +** 3) This GMST is compatible with the IAU 2006 precession and must not +** be used with other precession models. +** +** 4) The result is returned in the range 0 to 2pi. +** +** Called: +** eraEra00 Earth rotation angle, IAU 2000 +** eraAnp normalize angle into range 0 to 2pi +** +** Reference: +** +** Capitaine, N., Wallace, P.T. & Chapront, J., 2005, +** Astron.Astrophys. 432, 355 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t, gmst; + + +/* TT Julian centuries since J2000.0. */ + t = ((tta - ERFA_DJ00) + ttb) / ERFA_DJC; + +/* Greenwich mean sidereal time, IAU 2006. */ + gmst = eraAnp(eraEra00(uta, utb) + + ( 0.014506 + + ( 4612.156534 + + ( 1.3915817 + + ( -0.00000044 + + ( -0.000029956 + + ( -0.0000000368 ) + * t) * t) * t) * t) * t) * ERFA_DAS2R); + + return gmst; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/gmst82.c b/ast/erfa/gmst82.c new file mode 100644 index 0000000..5ddf032 --- /dev/null +++ b/ast/erfa/gmst82.c @@ -0,0 +1,160 @@ +#include "erfa.h" + +double eraGmst82(double dj1, double dj2) +/* +** - - - - - - - - - - +** e r a G m s t 8 2 +** - - - - - - - - - - +** +** Universal Time to Greenwich mean sidereal time (IAU 1982 model). +** +** Given: +** dj1,dj2 double UT1 Julian Date (see note) +** +** Returned (function value): +** double Greenwich mean sidereal time (radians) +** +** Notes: +** +** 1) The UT1 date dj1+dj2 is a Julian Date, apportioned in any +** convenient way between the arguments dj1 and dj2. For example, +** JD(UT1)=2450123.7 could be expressed in any of these ways, +** among others: +** +** dj1 dj2 +** +** 2450123.7 0 (JD method) +** 2451545 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 and MJD methods are good compromises +** between resolution and convenience. The date & time method is +** best matched to the algorithm used: maximum accuracy (or, at +** least, minimum noise) is delivered when the dj1 argument is for +** 0hrs UT1 on the day in question and the dj2 argument lies in the +** range 0 to 1, or vice versa. +** +** 2) The algorithm is based on the IAU 1982 expression. This is +** always described as giving the GMST at 0 hours UT1. In fact, it +** gives the difference between the GMST and the UT, the steady +** 4-minutes-per-day drawing-ahead of ST with respect to UT. When +** whole days are ignored, the expression happens to equal the GMST +** at 0 hours UT1 each day. +** +** 3) In this function, the entire UT1 (the sum of the two arguments +** dj1 and dj2) is used directly as the argument for the standard +** formula, the constant term of which is adjusted by 12 hours to +** take account of the noon phasing of Julian Date. The UT1 is then +** added, but omitting whole days to conserve accuracy. +** +** Called: +** eraAnp normalize angle into range 0 to 2pi +** +** References: +** +** Transactions of the International Astronomical Union, +** XVIII B, 67 (1983). +** +** Aoki et al., Astron. Astrophys. 105, 359-361 (1982). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Coefficients of IAU 1982 GMST-UT1 model */ + double A = 24110.54841 - ERFA_DAYSEC / 2.0; + double B = 8640184.812866; + double C = 0.093104; + double D = -6.2e-6; + +/* Note: the first constant, A, has to be adjusted by 12 hours */ +/* because the UT1 is supplied as a Julian date, which begins */ +/* at noon. */ + + double d1, d2, t, f, gmst; + + +/* Julian centuries since fundamental epoch. */ + if (dj1 < dj2) { + d1 = dj1; + d2 = dj2; + } else { + d1 = dj2; + d2 = dj1; + } + t = (d1 + (d2 - ERFA_DJ00)) / ERFA_DJC; + +/* Fractional part of JD(UT1), in seconds. */ + f = ERFA_DAYSEC * (fmod(d1, 1.0) + fmod(d2, 1.0)); + +/* GMST at this UT1. */ + gmst = eraAnp(ERFA_DS2R * ((A + (B + (C + D * t) * t) * t) + f)); + + return gmst; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/gst00a.c b/ast/erfa/gst00a.c new file mode 100644 index 0000000..e54bb0b --- /dev/null +++ b/ast/erfa/gst00a.c @@ -0,0 +1,147 @@ +#include "erfa.h" + +double eraGst00a(double uta, double utb, double tta, double ttb) +/* +** - - - - - - - - - - +** e r a G s t 0 0 a +** - - - - - - - - - - +** +** Greenwich apparent sidereal time (consistent with IAU 2000 +** resolutions). +** +** Given: +** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2) +** tta,ttb double TT as a 2-part Julian Date (Notes 1,2) +** +** Returned (function value): +** double Greenwich apparent sidereal time (radians) +** +** Notes: +** +** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both +** Julian Dates, apportioned in any convenient way between the +** argument pairs. For example, JD=2450123.7 could be expressed in +** any of these ways, among others: +** +** Part A Part B +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable (in the case of UT; the TT is not at all critical +** in this respect). The J2000 and MJD methods are good compromises +** between resolution and convenience. For UT, the date & time +** method is best matched to the algorithm that is used by the Earth +** Rotation Angle function, called internally: maximum precision is +** delivered when the uta argument is for 0hrs UT1 on the day in +** question and the utb argument lies in the range 0 to 1, or vice +** versa. +** +** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation +** and TT to predict the effects of precession-nutation. If UT1 is +** used for both purposes, errors of order 100 microarcseconds +** result. +** +** 3) This GAST is compatible with the IAU 2000 resolutions and must be +** used only in conjunction with other IAU 2000 compatible +** components such as precession-nutation. +** +** 4) The result is returned in the range 0 to 2pi. +** +** 5) The algorithm is from Capitaine et al. (2003) and IERS +** Conventions 2003. +** +** Called: +** eraGmst00 Greenwich mean sidereal time, IAU 2000 +** eraEe00a equation of the equinoxes, IAU 2000A +** eraAnp normalize angle into range 0 to 2pi +** +** References: +** +** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to +** implement the IAU 2000 definition of UT1", Astronomy & +** Astrophysics, 406, 1135-1149 (2003) +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double gmst00, ee00a, gst; + + + gmst00 = eraGmst00(uta, utb, tta, ttb); + ee00a = eraEe00a(tta, ttb); + gst = eraAnp(gmst00 + ee00a); + + return gst; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/gst00b.c b/ast/erfa/gst00b.c new file mode 100644 index 0000000..d34ae67 --- /dev/null +++ b/ast/erfa/gst00b.c @@ -0,0 +1,155 @@ +#include "erfa.h" + +double eraGst00b(double uta, double utb) +/* +** - - - - - - - - - - +** e r a G s t 0 0 b +** - - - - - - - - - - +** +** Greenwich apparent sidereal time (consistent with IAU 2000 +** resolutions but using the truncated nutation model IAU 2000B). +** +** Given: +** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2) +** +** Returned (function value): +** double Greenwich apparent sidereal time (radians) +** +** Notes: +** +** 1) The UT1 date uta+utb is a Julian Date, apportioned in any +** convenient way between the argument pair. For example, +** JD=2450123.7 could be expressed in any of these ways, among +** others: +** +** uta utb +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 and MJD methods are good compromises +** between resolution and convenience. For UT, the date & time +** method is best matched to the algorithm that is used by the Earth +** Rotation Angle function, called internally: maximum precision is +** delivered when the uta argument is for 0hrs UT1 on the day in +** question and the utb argument lies in the range 0 to 1, or vice +** versa. +** +** 2) The result is compatible with the IAU 2000 resolutions, except +** that accuracy has been compromised for the sake of speed and +** convenience in two respects: +** +** . UT is used instead of TDB (or TT) to compute the precession +** component of GMST and the equation of the equinoxes. This +** results in errors of order 0.1 mas at present. +** +** . The IAU 2000B abridged nutation model (McCarthy & Luzum, 2001) +** is used, introducing errors of up to 1 mas. +** +** 3) This GAST is compatible with the IAU 2000 resolutions and must be +** used only in conjunction with other IAU 2000 compatible +** components such as precession-nutation. +** +** 4) The result is returned in the range 0 to 2pi. +** +** 5) The algorithm is from Capitaine et al. (2003) and IERS +** Conventions 2003. +** +** Called: +** eraGmst00 Greenwich mean sidereal time, IAU 2000 +** eraEe00b equation of the equinoxes, IAU 2000B +** eraAnp normalize angle into range 0 to 2pi +** +** References: +** +** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to +** implement the IAU 2000 definition of UT1", Astronomy & +** Astrophysics, 406, 1135-1149 (2003) +** +** McCarthy, D.D. & Luzum, B.J., "An abridged model of the +** precession-nutation of the celestial pole", Celestial Mechanics & +** Dynamical Astronomy, 85, 37-49 (2003) +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double gmst00, ee00b, gst; + + + gmst00 = eraGmst00(uta, utb, uta, utb); + ee00b = eraEe00b(uta, utb); + gst = eraAnp(gmst00 + ee00b); + + return gst; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/gst06.c b/ast/erfa/gst06.c new file mode 100644 index 0000000..79a1c37 --- /dev/null +++ b/ast/erfa/gst06.c @@ -0,0 +1,149 @@ +#include "erfa.h" + +double eraGst06(double uta, double utb, double tta, double ttb, + double rnpb[3][3]) +/* +** - - - - - - - - - +** e r a G s t 0 6 +** - - - - - - - - - +** +** Greenwich apparent sidereal time, IAU 2006, given the NPB matrix. +** +** Given: +** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2) +** tta,ttb double TT as a 2-part Julian Date (Notes 1,2) +** rnpb double[3][3] nutation x precession x bias matrix +** +** Returned (function value): +** double Greenwich apparent sidereal time (radians) +** +** Notes: +** +** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both +** Julian Dates, apportioned in any convenient way between the +** argument pairs. For example, JD=2450123.7 could be expressed in +** any of these ways, among others: +** +** Part A Part B +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable (in the case of UT; the TT is not at all critical +** in this respect). The J2000 and MJD methods are good compromises +** between resolution and convenience. For UT, the date & time +** method is best matched to the algorithm that is used by the Earth +** rotation angle function, called internally: maximum precision is +** delivered when the uta argument is for 0hrs UT1 on the day in +** question and the utb argument lies in the range 0 to 1, or vice +** versa. +** +** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation +** and TT to predict the effects of precession-nutation. If UT1 is +** used for both purposes, errors of order 100 microarcseconds +** result. +** +** 3) Although the function uses the IAU 2006 series for s+XY/2, it is +** otherwise independent of the precession-nutation model and can in +** practice be used with any equinox-based NPB matrix. +** +** 4) The result is returned in the range 0 to 2pi. +** +** Called: +** eraBpn2xy extract CIP X,Y coordinates from NPB matrix +** eraS06 the CIO locator s, given X,Y, IAU 2006 +** eraAnp normalize angle into range 0 to 2pi +** eraEra00 Earth rotation angle, IAU 2000 +** eraEors equation of the origins, given NPB matrix and s +** +** Reference: +** +** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double x, y, s, era, eors, gst; + + +/* Extract CIP coordinates. */ + eraBpn2xy(rnpb, &x, &y); + +/* The CIO locator, s. */ + s = eraS06(tta, ttb, x, y); + +/* Greenwich apparent sidereal time. */ + era = eraEra00(uta, utb); + eors = eraEors(rnpb, s); + gst = eraAnp(era - eors); + + return gst; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/gst06a.c b/ast/erfa/gst06a.c new file mode 100644 index 0000000..fb38999 --- /dev/null +++ b/ast/erfa/gst06a.c @@ -0,0 +1,140 @@ +#include "erfa.h" + +double eraGst06a(double uta, double utb, double tta, double ttb) +/* +** - - - - - - - - - - +** e r a G s t 0 6 a +** - - - - - - - - - - +** +** Greenwich apparent sidereal time (consistent with IAU 2000 and 2006 +** resolutions). +** +** Given: +** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2) +** tta,ttb double TT as a 2-part Julian Date (Notes 1,2) +** +** Returned (function value): +** double Greenwich apparent sidereal time (radians) +** +** Notes: +** +** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both +** Julian Dates, apportioned in any convenient way between the +** argument pairs. For example, JD=2450123.7 could be expressed in +** any of these ways, among others: +** +** Part A Part B +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable (in the case of UT; the TT is not at all critical +** in this respect). The J2000 and MJD methods are good compromises +** between resolution and convenience. For UT, the date & time +** method is best matched to the algorithm that is used by the Earth +** rotation angle function, called internally: maximum precision is +** delivered when the uta argument is for 0hrs UT1 on the day in +** question and the utb argument lies in the range 0 to 1, or vice +** versa. +** +** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation +** and TT to predict the effects of precession-nutation. If UT1 is +** used for both purposes, errors of order 100 microarcseconds +** result. +** +** 3) This GAST is compatible with the IAU 2000/2006 resolutions and +** must be used only in conjunction with IAU 2006 precession and +** IAU 2000A nutation. +** +** 4) The result is returned in the range 0 to 2pi. +** +** Called: +** eraPnm06a classical NPB matrix, IAU 2006/2000A +** eraGst06 Greenwich apparent ST, IAU 2006, given NPB matrix +** +** Reference: +** +** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rnpb[3][3], gst; + + +/* Classical nutation x precession x bias matrix, IAU 2000A. */ + eraPnm06a(tta, ttb, rnpb); + +/* Greenwich apparent sidereal time. */ + gst = eraGst06(uta, utb, tta, ttb, rnpb); + + return gst; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/gst94.c b/ast/erfa/gst94.c new file mode 100644 index 0000000..79f7ba8 --- /dev/null +++ b/ast/erfa/gst94.c @@ -0,0 +1,140 @@ +#include "erfa.h" + +double eraGst94(double uta, double utb) +/* +** - - - - - - - - - +** e r a G s t 9 4 +** - - - - - - - - - +** +** Greenwich apparent sidereal time (consistent with IAU 1982/94 +** resolutions). +** +** Given: +** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2) +** +** Returned (function value): +** double Greenwich apparent sidereal time (radians) +** +** Notes: +** +** 1) The UT1 date uta+utb is a Julian Date, apportioned in any +** convenient way between the argument pair. For example, +** JD=2450123.7 could be expressed in any of these ways, among +** others: +** +** uta utb +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 and MJD methods are good compromises +** between resolution and convenience. For UT, the date & time +** method is best matched to the algorithm that is used by the Earth +** Rotation Angle function, called internally: maximum precision is +** delivered when the uta argument is for 0hrs UT1 on the day in +** question and the utb argument lies in the range 0 to 1, or vice +** versa. +** +** 2) The result is compatible with the IAU 1982 and 1994 resolutions, +** except that accuracy has been compromised for the sake of +** convenience in that UT is used instead of TDB (or TT) to compute +** the equation of the equinoxes. +** +** 3) This GAST must be used only in conjunction with contemporaneous +** IAU standards such as 1976 precession, 1980 obliquity and 1982 +** nutation. It is not compatible with the IAU 2000 resolutions. +** +** 4) The result is returned in the range 0 to 2pi. +** +** Called: +** eraGmst82 Greenwich mean sidereal time, IAU 1982 +** eraEqeq94 equation of the equinoxes, IAU 1994 +** eraAnp normalize angle into range 0 to 2pi +** +** References: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992) +** +** IAU Resolution C7, Recommendation 3 (1994) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double gmst82, eqeq94, gst; + + + gmst82 = eraGmst82(uta, utb); + eqeq94 = eraEqeq94(uta, utb); + gst = eraAnp(gmst82 + eqeq94); + + return gst; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/h2fk5.c b/ast/erfa/h2fk5.c new file mode 100644 index 0000000..f7132f4 --- /dev/null +++ b/ast/erfa/h2fk5.c @@ -0,0 +1,157 @@ +#include "erfa.h" + +void eraH2fk5(double rh, double dh, + double drh, double ddh, double pxh, double rvh, + double *r5, double *d5, + double *dr5, double *dd5, double *px5, double *rv5) +/* +** - - - - - - - - - +** e r a H 2 f k 5 +** - - - - - - - - - +** +** Transform Hipparcos star data into the FK5 (J2000.0) system. +** +** Given (all Hipparcos, epoch J2000.0): +** rh double RA (radians) +** dh double Dec (radians) +** drh double proper motion in RA (dRA/dt, rad/Jyear) +** ddh double proper motion in Dec (dDec/dt, rad/Jyear) +** pxh double parallax (arcsec) +** rvh double radial velocity (km/s, positive = receding) +** +** Returned (all FK5, equinox J2000.0, epoch J2000.0): +** r5 double RA (radians) +** d5 double Dec (radians) +** dr5 double proper motion in RA (dRA/dt, rad/Jyear) +** dd5 double proper motion in Dec (dDec/dt, rad/Jyear) +** px5 double parallax (arcsec) +** rv5 double radial velocity (km/s, positive = receding) +** +** Notes: +** +** 1) This function transforms Hipparcos star positions and proper +** motions into FK5 J2000.0. +** +** 2) The proper motions in RA are dRA/dt rather than +** cos(Dec)*dRA/dt, and are per year rather than per century. +** +** 3) The FK5 to Hipparcos transformation is modeled as a pure +** rotation and spin; zonal errors in the FK5 catalog are not +** taken into account. +** +** 4) See also eraFk52h, eraFk5hz, eraHfk5z. +** +** Called: +** eraStarpv star catalog data to space motion pv-vector +** eraFk5hip FK5 to Hipparcos rotation and spin +** eraRv2m r-vector to r-matrix +** eraRxp product of r-matrix and p-vector +** eraTrxp product of transpose of r-matrix and p-vector +** eraPxp vector product of two p-vectors +** eraPmp p-vector minus p-vector +** eraPvstar space motion pv-vector to star catalog data +** +** Reference: +** +** F.Mignard & M.Froeschle, Astron. Astrophys. 354, 732-739 (2000). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int i; + double pvh[2][3], r5h[3][3], s5h[3], sh[3], wxp[3], vv[3], pv5[2][3]; + + +/* Hipparcos barycentric position/velocity pv-vector (normalized). */ + eraStarpv(rh, dh, drh, ddh, pxh, rvh, pvh); + +/* FK5 to Hipparcos orientation matrix and spin vector. */ + eraFk5hip(r5h, s5h); + +/* Make spin units per day instead of per year. */ + for ( i = 0; i < 3; s5h[i++] /= 365.25 ); + +/* Orient the spin into the Hipparcos system. */ + eraRxp(r5h, s5h, sh); + +/* De-orient the Hipparcos position into the FK5 system. */ + eraTrxp(r5h, pvh[0], pv5[0]); + +/* Apply spin to the position giving an extra space motion component. */ + eraPxp(pvh[0], sh, wxp); + +/* Subtract this component from the Hipparcos space motion. */ + eraPmp(pvh[1], wxp, vv); + +/* De-orient the Hipparcos space motion into the FK5 system. */ + eraTrxp(r5h, vv, pv5[1]); + +/* FK5 pv-vector to spherical. */ + eraPvstar(pv5, r5, d5, dr5, dd5, px5, rv5); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/hfk5z.c b/ast/erfa/hfk5z.c new file mode 100644 index 0000000..d2c442e --- /dev/null +++ b/ast/erfa/hfk5z.c @@ -0,0 +1,184 @@ +#include "erfa.h" + +void eraHfk5z(double rh, double dh, double date1, double date2, + double *r5, double *d5, double *dr5, double *dd5) +/* +** - - - - - - - - - +** e r a H f k 5 z +** - - - - - - - - - +** +** Transform a Hipparcos star position into FK5 J2000.0, assuming +** zero Hipparcos proper motion. +** +** Given: +** rh double Hipparcos RA (radians) +** dh double Hipparcos Dec (radians) +** date1,date2 double TDB date (Note 1) +** +** Returned (all FK5, equinox J2000.0, date date1+date2): +** r5 double RA (radians) +** d5 double Dec (radians) +** dr5 double FK5 RA proper motion (rad/year, Note 4) +** dd5 double Dec proper motion (rad/year, Note 4) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt. +** +** 3) The FK5 to Hipparcos transformation is modeled as a pure rotation +** and spin; zonal errors in the FK5 catalogue are not taken into +** account. +** +** 4) It was the intention that Hipparcos should be a close +** approximation to an inertial frame, so that distant objects have +** zero proper motion; such objects have (in general) non-zero +** proper motion in FK5, and this function returns those fictitious +** proper motions. +** +** 5) The position returned by this function is in the FK5 J2000.0 +** reference system but at date date1+date2. +** +** 6) See also eraFk52h, eraH2fk5, eraFk5zhz. +** +** Called: +** eraS2c spherical coordinates to unit vector +** eraFk5hip FK5 to Hipparcos rotation and spin +** eraRxp product of r-matrix and p-vector +** eraSxp multiply p-vector by scalar +** eraRxr product of two r-matrices +** eraTrxp product of transpose of r-matrix and p-vector +** eraPxp vector product of two p-vectors +** eraPv2s pv-vector to spherical +** eraAnp normalize angle into range 0 to 2pi +** +** Reference: +** +** F.Mignard & M.Froeschle, 2000, Astron.Astrophys. 354, 732-739. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t, ph[3], r5h[3][3], s5h[3], sh[3], vst[3], + rst[3][3], r5ht[3][3], pv5e[2][3], vv[3], + w, r, v; + + +/* Time interval from fundamental epoch J2000.0 to given date (JY). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJY; + +/* Hipparcos barycentric position vector (normalized). */ + eraS2c(rh, dh, ph); + +/* FK5 to Hipparcos orientation matrix and spin vector. */ + eraFk5hip(r5h, s5h); + +/* Rotate the spin into the Hipparcos system. */ + eraRxp(r5h, s5h, sh); + +/* Accumulated Hipparcos wrt FK5 spin over that interval. */ + eraSxp(t, s5h, vst); + +/* Express the accumulated spin as a rotation matrix. */ + eraRv2m(vst, rst); + +/* Rotation matrix: accumulated spin, then FK5 to Hipparcos. */ + eraRxr(r5h, rst, r5ht); + +/* De-orient & de-spin the Hipparcos position into FK5 J2000.0. */ + eraTrxp(r5ht, ph, pv5e[0]); + +/* Apply spin to the position giving a space motion. */ + eraPxp(sh, ph, vv); + +/* De-orient & de-spin the Hipparcos space motion into FK5 J2000.0. */ + eraTrxp(r5ht, vv, pv5e[1]); + +/* FK5 position/velocity pv-vector to spherical. */ + eraPv2s(pv5e, &w, d5, &r, dr5, dd5, &v); + *r5 = eraAnp(w); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ir.c b/ast/erfa/ir.c new file mode 100644 index 0000000..ea077d6 --- /dev/null +++ b/ast/erfa/ir.c @@ -0,0 +1,92 @@ +#include "erfa.h" + +void eraIr(double r[3][3]) +/* +** - - - - - - +** e r a I r +** - - - - - - +** +** Initialize an r-matrix to the identity matrix. +** +** Returned: +** r double[3][3] r-matrix +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + r[0][0] = 1.0; + r[0][1] = 0.0; + r[0][2] = 0.0; + r[1][0] = 0.0; + r[1][1] = 1.0; + r[1][2] = 0.0; + r[2][0] = 0.0; + r[2][1] = 0.0; + r[2][2] = 1.0; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/jd2cal.c b/ast/erfa/jd2cal.c new file mode 100644 index 0000000..16c73c6 --- /dev/null +++ b/ast/erfa/jd2cal.c @@ -0,0 +1,164 @@ +#include "erfa.h" + +int eraJd2cal(double dj1, double dj2, + int *iy, int *im, int *id, double *fd) +/* +** - - - - - - - - - - +** e r a J d 2 c a l +** - - - - - - - - - - +** +** Julian Date to Gregorian year, month, day, and fraction of a day. +** +** Given: +** dj1,dj2 double Julian Date (Notes 1, 2) +** +** Returned (arguments): +** iy int year +** im int month +** id int day +** fd double fraction of day +** +** Returned (function value): +** int status: +** 0 = OK +** -1 = unacceptable date (Note 3) +** +** Notes: +** +** 1) The earliest valid date is -68569.5 (-4900 March 1). The +** largest value accepted is 1e9. +** +** 2) The Julian Date is apportioned in any convenient way between +** the arguments dj1 and dj2. For example, JD=2450123.7 could +** be expressed in any of these ways, among others: +** +** dj1 dj2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** 3) In early eras the conversion is from the "proleptic Gregorian +** calendar"; no account is taken of the date(s) of adoption of +** the Gregorian calendar, nor is the AD/BC numbering convention +** observed. +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992), +** Section 12.92 (p604). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Minimum and maximum allowed JD */ + const double DJMIN = -68569.5; + const double DJMAX = 1e9; + + long jd, l, n, i, k; + double dj, d1, d2, f1, f2, f, d; + + +/* Verify date is acceptable. */ + dj = dj1 + dj2; + if (dj < DJMIN || dj > DJMAX) return -1; + +/* Copy the date, big then small, and re-align to midnight. */ + if (dj1 >= dj2) { + d1 = dj1; + d2 = dj2; + } else { + d1 = dj2; + d2 = dj1; + } + d2 -= 0.5; + +/* Separate day and fraction. */ + f1 = fmod(d1, 1.0); + f2 = fmod(d2, 1.0); + f = fmod(f1 + f2, 1.0); + if (f < 0.0) f += 1.0; + d = floor(d1 - f1) + floor(d2 - f2) + floor(f1 + f2 - f); + jd = (long) floor(d) + 1L; + +/* Express day in Gregorian calendar. */ + l = jd + 68569L; + n = (4L * l) / 146097L; + l -= (146097L * n + 3L) / 4L; + i = (4000L * (l + 1L)) / 1461001L; + l -= (1461L * i) / 4L - 31L; + k = (80L * l) / 2447L; + *id = (int) (l - (2447L * k) / 80L); + l = k / 11L; + *im = (int) (k + 2L - 12L * l); + *iy = (int) (100L * (n - 49L) + i + l); + *fd = f; + + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/jdcalf.c b/ast/erfa/jdcalf.c new file mode 100644 index 0000000..3bd54ab --- /dev/null +++ b/ast/erfa/jdcalf.c @@ -0,0 +1,170 @@ +#include "erfa.h" + +int eraJdcalf(int ndp, double dj1, double dj2, int iymdf[4]) +/* +** - - - - - - - - - - +** e r a J d c a l f +** - - - - - - - - - - +** +** Julian Date to Gregorian Calendar, expressed in a form convenient +** for formatting messages: rounded to a specified precision. +** +** Given: +** ndp int number of decimal places of days in fraction +** dj1,dj2 double dj1+dj2 = Julian Date (Note 1) +** +** Returned: +** iymdf int[4] year, month, day, fraction in Gregorian +** calendar +** +** Returned (function value): +** int status: +** -1 = date out of range +** 0 = OK +** +1 = NDP not 0-9 (interpreted as 0) +** +** Notes: +** +** 1) The Julian Date is apportioned in any convenient way between +** the arguments dj1 and dj2. For example, JD=2450123.7 could +** be expressed in any of these ways, among others: +** +** dj1 dj2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** 2) In early eras the conversion is from the "Proleptic Gregorian +** Calendar"; no account is taken of the date(s) of adoption of +** the Gregorian Calendar, nor is the AD/BC numbering convention +** observed. +** +** 3) Refer to the function eraJd2cal. +** +** 4) NDP should be 4 or less if internal overflows are to be +** avoided on machines which use 16-bit integers. +** +** Called: +** eraJd2cal JD to Gregorian calendar +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992), +** Section 12.92 (p604). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int j, js; + double denom, d1, d2, f1, f2, f; + + +/* Denominator of fraction (e.g. 100 for 2 decimal places). */ + if ((ndp >= 0) && (ndp <= 9)) { + j = 0; + denom = pow(10.0, ndp); + } else { + j = 1; + denom = 1.0; + } + +/* Copy the date, big then small, and realign to midnight. */ + if (dj1 >= dj2) { + d1 = dj1; + d2 = dj2; + } else { + d1 = dj2; + d2 = dj1; + } + d2 -= 0.5; + +/* Separate days and fractions. */ + f1 = fmod(d1, 1.0); + f2 = fmod(d2, 1.0); + d1 = floor(d1 - f1); + d2 = floor(d2 - f2); + +/* Round the total fraction to the specified number of places. */ + f = floor((f1+f2)*denom + 0.5) / denom; + +/* Re-assemble the rounded date and re-align to noon. */ + d2 += f + 0.5; + +/* Convert to Gregorian calendar. */ + js = eraJd2cal(d1, d2, &iymdf[0], &iymdf[1], &iymdf[2], &f); + if (js == 0) { + iymdf[3] = (int) (f * denom); + } else { + j = js; + } + +/* Return the status. */ + return j; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ld.c b/ast/erfa/ld.c new file mode 100644 index 0000000..c732ab7 --- /dev/null +++ b/ast/erfa/ld.c @@ -0,0 +1,161 @@ +#include "erfa.h" + +void eraLd(double bm, double p[3], double q[3], double e[3], + double em, double dlim, double p1[3]) +/* +** - - - - - - +** e r a L d +** - - - - - - +** +** Apply light deflection by a solar-system body, as part of +** transforming coordinate direction into natural direction. +** +** Given: +** bm double mass of the gravitating body (solar masses) +** p double[3] direction from observer to source (unit vector) +** q double[3] direction from body to source (unit vector) +** e double[3] direction from body to observer (unit vector) +** em double distance from body to observer (au) +** dlim double deflection limiter (Note 4) +** +** Returned: +** p1 double[3] observer to deflected source (unit vector) +** +** Notes: +** +** 1) The algorithm is based on Expr. (70) in Klioner (2003) and +** Expr. (7.63) in the Explanatory Supplement (Urban & Seidelmann +** 2013), with some rearrangement to minimize the effects of machine +** precision. +** +** 2) The mass parameter bm can, as required, be adjusted in order to +** allow for such effects as quadrupole field. +** +** 3) The barycentric position of the deflecting body should ideally +** correspond to the time of closest approach of the light ray to +** the body. +** +** 4) The deflection limiter parameter dlim is phi^2/2, where phi is +** the angular separation (in radians) between source and body at +** which limiting is applied. As phi shrinks below the chosen +** threshold, the deflection is artificially reduced, reaching zero +** for phi = 0. +** +** 5) The returned vector p1 is not normalized, but the consequential +** departure from unit magnitude is always negligible. +** +** 6) The arguments p and p1 can be the same array. +** +** 7) To accumulate total light deflection taking into account the +** contributions from several bodies, call the present function for +** each body in succession, in decreasing order of distance from the +** observer. +** +** 8) For efficiency, validation is omitted. The supplied vectors must +** be of unit magnitude, and the deflection limiter non-zero and +** positive. +** +** References: +** +** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to +** the Astronomical Almanac, 3rd ed., University Science Books +** (2013). +** +** Klioner, Sergei A., "A practical relativistic model for micro- +** arcsecond astrometry in space", Astr. J. 125, 1580-1597 (2003). +** +** Called: +** eraPdp scalar product of two p-vectors +** eraPxp vector product of two p-vectors +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int i; + double qpe[3], qdqpe, w, eq[3], peq[3]; + + +/* q . (q + e). */ + for (i = 0; i < 3; i++) { + qpe[i] = q[i] + e[i]; + } + qdqpe = eraPdp(q, qpe); + +/* 2 x G x bm / ( em x c^2 x ( q . (q + e) ) ). */ + w = bm * ERFA_SRS / em / ERFA_GMAX(qdqpe,dlim); + +/* p x (e x q). */ + eraPxp(e, q, eq); + eraPxp(p, eq, peq); + +/* Apply the deflection. */ + for (i = 0; i < 3; i++) { + p1[i] = p[i] + w*peq[i]; + } + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ldn.c b/ast/erfa/ldn.c new file mode 100644 index 0000000..cd56f48 --- /dev/null +++ b/ast/erfa/ldn.c @@ -0,0 +1,183 @@ +#include "erfa.h" + +void eraLdn(int n, eraLDBODY b[], double ob[3], double sc[3], + double sn[3]) +/*+ +** - - - - - - - +** e r a L d n +** - - - - - - - +** +** For a star, apply light deflection by multiple solar-system bodies, +** as part of transforming coordinate direction into natural direction. +** +** Given: +** n int number of bodies (note 1) +** b eraLDBODY[n] data for each of the n bodies (Notes 1,2): +** bm double mass of the body (solar masses, Note 3) +** dl double deflection limiter (Note 4) +** pv [2][3] barycentric PV of the body (au, au/day) +** ob double[3] barycentric position of the observer (au) +** sc double[3] observer to star coord direction (unit vector) +** +** Returned: +** sn double[3] observer to deflected star (unit vector) +** +** 1) The array b contains n entries, one for each body to be +** considered. If n = 0, no gravitational light deflection will be +** applied, not even for the Sun. +** +** 2) The array b should include an entry for the Sun as well as for +** any planet or other body to be taken into account. The entries +** should be in the order in which the light passes the body. +** +** 3) In the entry in the b array for body i, the mass parameter +** b[i].bm can, as required, be adjusted in order to allow for such +** effects as quadrupole field. +** +** 4) The deflection limiter parameter b[i].dl is phi^2/2, where phi is +** the angular separation (in radians) between star and body at +** which limiting is applied. As phi shrinks below the chosen +** threshold, the deflection is artificially reduced, reaching zero +** for phi = 0. Example values suitable for a terrestrial +** observer, together with masses, are as follows: +** +** body i b[i].bm b[i].dl +** +** Sun 1.0 6e-6 +** Jupiter 0.00095435 3e-9 +** Saturn 0.00028574 3e-10 +** +** 5) For cases where the starlight passes the body before reaching the +** observer, the body is placed back along its barycentric track by +** the light time from that point to the observer. For cases where +** the body is "behind" the observer no such shift is applied. If +** a different treatment is preferred, the user has the option of +** instead using the eraLd function. Similarly, eraLd can be used +** for cases where the source is nearby, not a star. +** +** 6) The returned vector sn is not normalized, but the consequential +** departure from unit magnitude is always negligible. +** +** 7) The arguments sc and sn can be the same array. +** +** 8) For efficiency, validation is omitted. The supplied masses must +** be greater than zero, the position and velocity vectors must be +** right, and the deflection limiter greater than zero. +** +** Reference: +** +** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to +** the Astronomical Almanac, 3rd ed., University Science Books +** (2013), Section 7.2.4. +** +** Called: +** eraCp copy p-vector +** eraPdp scalar product of two p-vectors +** eraPmp p-vector minus p-vector +** eraPpsp p-vector plus scaled p-vector +** eraPn decompose p-vector into modulus and direction +** eraLd light deflection by a solar-system body +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Light time for 1 AU (days) */ + const double CR = ERFA_AULT/ERFA_DAYSEC; + + int i; + double v[3], dt, ev[3], em, e[3]; + + +/* Star direction prior to deflection. */ + eraCp(sc, sn); + +/* Body by body. */ + for ( i = 0; i < n; i++ ) { + + /* Body to observer vector at epoch of observation (au). */ + eraPmp ( ob, b[i].pv[0], v ); + + /* Minus the time since the light passed the body (days). */ + dt = eraPdp(sn,v) * CR; + + /* Neutralize if the star is "behind" the observer. */ + dt = ERFA_GMIN(dt, 0.0); + + /* Backtrack the body to the time the light was passing the body. */ + eraPpsp(v, -dt, b[i].pv[1], ev); + + /* Body to observer vector as magnitude and direction. */ + eraPn(ev, &em, e); + + /* Apply light deflection for this body. */ + eraLd ( b[i].bm, sn, sn, e, em, b[i].dl, sn ); + + /* Next body. */ + } + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ldsun.c b/ast/erfa/ldsun.c new file mode 100644 index 0000000..c29d608 --- /dev/null +++ b/ast/erfa/ldsun.c @@ -0,0 +1,105 @@ +#include "erfa.h" + +void eraLdsun(double p[3], double e[3], double em, double p1[3]) +/* +** - - - - - - - - - +** e r a L d s u n +** - - - - - - - - - +** +** Light deflection by the Sun. +** +** Given: +** p double[3] direction from observer to source (unit vector) +** e double[3] direction from Sun to observer (unit vector) +** em double distance from Sun to observer (au) +** +** Returned: +** p1 double[3] observer to deflected source (unit vector) +** +** Notes: +** +** 1) The source is presumed to be sufficiently distant that its +** directions seen from the Sun and the observer are essentially +** the same. +** +** 2) The deflection is restrained when the angle between the star and +** the center of the Sun is less than about 9 arcsec, falling to +** zero for zero separation. (The chosen threshold is within the +** solar limb for all solar-system applications.) +** +** 3) The arguments p and p1 can be the same array. +** +** Called: +** eraLd light deflection by a solar-system body +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraLd(1.0, p, p, e, em, 1e-9, p1); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/num00a.c b/ast/erfa/num00a.c new file mode 100644 index 0000000..2cb19d4 --- /dev/null +++ b/ast/erfa/num00a.c @@ -0,0 +1,130 @@ +#include "erfa.h" + +void eraNum00a(double date1, double date2, double rmatn[3][3]) +/* +** - - - - - - - - - - +** e r a N u m 0 0 a +** - - - - - - - - - - +** +** Form the matrix of nutation for a given date, IAU 2000A model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** rmatn double[3][3] nutation matrix +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix operates in the sense V(true) = rmatn * V(mean), where +** the p-vector V(true) is with respect to the true equatorial triad +** of date and the p-vector V(mean) is with respect to the mean +** equatorial triad of date. +** +** 3) A faster, but slightly less accurate result (about 1 mas), can be +** obtained by using instead the eraNum00b function. +** +** Called: +** eraPn00a bias/precession/nutation, IAU 2000A +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992), +** Section 3.222-3 (p114). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dpsi, deps, epsa, rb[3][3], rp[3][3], rbp[3][3], rbpn[3][3]; + + +/* Obtain the required matrix (discarding other results). */ + eraPn00a(date1, date2, + &dpsi, &deps, &epsa, rb, rp, rbp, rmatn, rbpn); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/num00b.c b/ast/erfa/num00b.c new file mode 100644 index 0000000..87e4361 --- /dev/null +++ b/ast/erfa/num00b.c @@ -0,0 +1,130 @@ +#include "erfa.h" + +void eraNum00b(double date1, double date2, double rmatn[3][3]) +/* +** - - - - - - - - - - +** e r a N u m 0 0 b +** - - - - - - - - - - +** +** Form the matrix of nutation for a given date, IAU 2000B model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** rmatn double[3][3] nutation matrix +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix operates in the sense V(true) = rmatn * V(mean), where +** the p-vector V(true) is with respect to the true equatorial triad +** of date and the p-vector V(mean) is with respect to the mean +** equatorial triad of date. +** +** 3) The present function is faster, but slightly less accurate (about +** 1 mas), than the eraNum00a function. +** +** Called: +** eraPn00b bias/precession/nutation, IAU 2000B +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992), +** Section 3.222-3 (p114). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dpsi, deps, epsa, rb[3][3], rp[3][3], rbp[3][3], rbpn[3][3]; + + +/* Obtain the required matrix (discarding other results). */ + eraPn00b(date1, date2, + &dpsi, &deps, &epsa, rb, rp, rbp, rmatn, rbpn); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/num06a.c b/ast/erfa/num06a.c new file mode 100644 index 0000000..824e487 --- /dev/null +++ b/ast/erfa/num06a.c @@ -0,0 +1,134 @@ +#include "erfa.h" + +void eraNum06a(double date1, double date2, double rmatn[3][3]) +/* +** - - - - - - - - - - +** e r a N u m 0 6 a +** - - - - - - - - - - +** +** Form the matrix of nutation for a given date, IAU 2006/2000A model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** rmatn double[3][3] nutation matrix +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix operates in the sense V(true) = rmatn * V(mean), where +** the p-vector V(true) is with respect to the true equatorial triad +** of date and the p-vector V(mean) is with respect to the mean +** equatorial triad of date. +** +** Called: +** eraObl06 mean obliquity, IAU 2006 +** eraNut06a nutation, IAU 2006/2000A +** eraNumat form nutation matrix +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992), +** Section 3.222-3 (p114). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double eps, dp, de; + + +/* Mean obliquity. */ + eps = eraObl06(date1, date2); + +/* Nutation components. */ + eraNut06a(date1, date2, &dp, &de); + +/* Nutation matrix. */ + eraNumat(eps, dp, de, rmatn); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/numat.c b/ast/erfa/numat.c new file mode 100644 index 0000000..6023271 --- /dev/null +++ b/ast/erfa/numat.c @@ -0,0 +1,118 @@ +#include "erfa.h" + +void eraNumat(double epsa, double dpsi, double deps, double rmatn[3][3]) +/* +** - - - - - - - - - +** e r a N u m a t +** - - - - - - - - - +** +** Form the matrix of nutation. +** +** Given: +** epsa double mean obliquity of date (Note 1) +** dpsi,deps double nutation (Note 2) +** +** Returned: +** rmatn double[3][3] nutation matrix (Note 3) +** +** Notes: +** +** +** 1) The supplied mean obliquity epsa, must be consistent with the +** precession-nutation models from which dpsi and deps were obtained. +** +** 2) The caller is responsible for providing the nutation components; +** they are in longitude and obliquity, in radians and are with +** respect to the equinox and ecliptic of date. +** +** 3) The matrix operates in the sense V(true) = rmatn * V(mean), +** where the p-vector V(true) is with respect to the true +** equatorial triad of date and the p-vector V(mean) is with +** respect to the mean equatorial triad of date. +** +** Called: +** eraIr initialize r-matrix to identity +** eraRx rotate around X-axis +** eraRz rotate around Z-axis +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992), +** Section 3.222-3 (p114). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Build the rotation matrix. */ + eraIr(rmatn); + eraRx(epsa, rmatn); + eraRz(-dpsi, rmatn); + eraRx(-(epsa + deps), rmatn); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/nut00a.c b/ast/erfa/nut00a.c new file mode 100644 index 0000000..bb63d72 --- /dev/null +++ b/ast/erfa/nut00a.c @@ -0,0 +1,2056 @@ +#include "erfa.h" + +void eraNut00a(double date1, double date2, double *dpsi, double *deps) +/* +** - - - - - - - - - - +** e r a N u t 0 0 a +** - - - - - - - - - - +** +** Nutation, IAU 2000A model (MHB2000 luni-solar and planetary nutation +** with free core nutation omitted). +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** dpsi,deps double nutation, luni-solar + planetary (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The nutation components in longitude and obliquity are in radians +** and with respect to the equinox and ecliptic of date. The +** obliquity at J2000.0 is assumed to be the Lieske et al. (1977) +** value of 84381.448 arcsec. +** +** Both the luni-solar and planetary nutations are included. The +** latter are due to direct planetary nutations and the +** perturbations of the lunar and terrestrial orbits. +** +** 3) The function computes the MHB2000 nutation series with the +** associated corrections for planetary nutations. It is an +** implementation of the nutation part of the IAU 2000A precession- +** nutation model, formally adopted by the IAU General Assembly in +** 2000, namely MHB2000 (Mathews et al. 2002), but with the free +** core nutation (FCN - see Note 4) omitted. +** +** 4) The full MHB2000 model also contains contributions to the +** nutations in longitude and obliquity due to the free-excitation +** of the free-core-nutation during the period 1979-2000. These FCN +** terms, which are time-dependent and unpredictable, are NOT +** included in the present function and, if required, must be +** independently computed. With the FCN corrections included, the +** present function delivers a pole which is at current epochs +** accurate to a few hundred microarcseconds. The omission of FCN +** introduces further errors of about that size. +** +** 5) The present function provides classical nutation. The MHB2000 +** algorithm, from which it is adapted, deals also with (i) the +** offsets between the GCRS and mean poles and (ii) the adjustments +** in longitude and obliquity due to the changed precession rates. +** These additional functions, namely frame bias and precession +** adjustments, are supported by the ERFA functions eraBi00 and +** eraPr00. +** +** 6) The MHB2000 algorithm also provides "total" nutations, comprising +** the arithmetic sum of the frame bias, precession adjustments, +** luni-solar nutation and planetary nutation. These total +** nutations can be used in combination with an existing IAU 1976 +** precession implementation, such as eraPmat76, to deliver GCRS- +** to-true predictions of sub-mas accuracy at current dates. +** However, there are three shortcomings in the MHB2000 model that +** must be taken into account if more accurate or definitive results +** are required (see Wallace 2002): +** +** (i) The MHB2000 total nutations are simply arithmetic sums, +** yet in reality the various components are successive Euler +** rotations. This slight lack of rigor leads to cross terms +** that exceed 1 mas after a century. The rigorous procedure +** is to form the GCRS-to-true rotation matrix by applying the +** bias, precession and nutation in that order. +** +** (ii) Although the precession adjustments are stated to be with +** respect to Lieske et al. (1977), the MHB2000 model does +** not specify which set of Euler angles are to be used and +** how the adjustments are to be applied. The most literal +** and straightforward procedure is to adopt the 4-rotation +** epsilon_0, psi_A, omega_A, xi_A option, and to add DPSIPR +** to psi_A and DEPSPR to both omega_A and eps_A. +** +** (iii) The MHB2000 model predates the determination by Chapront +** et al. (2002) of a 14.6 mas displacement between the +** J2000.0 mean equinox and the origin of the ICRS frame. It +** should, however, be noted that neglecting this displacement +** when calculating star coordinates does not lead to a +** 14.6 mas change in right ascension, only a small second- +** order distortion in the pattern of the precession-nutation +** effect. +** +** For these reasons, the ERFA functions do not generate the "total +** nutations" directly, though they can of course easily be +** generated by calling eraBi00, eraPr00 and the present function +** and adding the results. +** +** 7) The MHB2000 model contains 41 instances where the same frequency +** appears multiple times, of which 38 are duplicates and three are +** triplicates. To keep the present code close to the original MHB +** algorithm, this small inefficiency has not been corrected. +** +** Called: +** eraFal03 mean anomaly of the Moon +** eraFaf03 mean argument of the latitude of the Moon +** eraFaom03 mean longitude of the Moon's ascending node +** eraFame03 mean longitude of Mercury +** eraFave03 mean longitude of Venus +** eraFae03 mean longitude of Earth +** eraFama03 mean longitude of Mars +** eraFaju03 mean longitude of Jupiter +** eraFasa03 mean longitude of Saturn +** eraFaur03 mean longitude of Uranus +** eraFapa03 general accumulated precession in longitude +** +** References: +** +** Chapront, J., Chapront-Touze, M. & Francou, G. 2002, +** Astron.Astrophys. 387, 700 +** +** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977, +** Astron.Astrophys. 58, 1-16 +** +** Mathews, P.M., Herring, T.A., Buffet, B.A. 2002, J.Geophys.Res. +** 107, B4. The MHB_2000 code itself was obtained on 9th September +** 2002 from ftp//maia.usno.navy.mil/conv2000/chapter5/IAU2000A. +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, +** Astron.Astrophys.Supp.Ser. 135, 111 +** +** Wallace, P.T., "Software for Implementing the IAU 2000 +** Resolutions", in IERS Workshop 5.1 (2002) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int i; + double t, el, elp, f, d, om, arg, dp, de, sarg, carg, + al, af, ad, aom, alme, alve, alea, alma, + alju, alsa, alur, alne, apa, dpsils, depsls, + dpsipl, depspl; + +/* Units of 0.1 microarcsecond to radians */ + const double U2R = ERFA_DAS2R / 1e7; + +/* ------------------------- */ +/* Luni-Solar nutation model */ +/* ------------------------- */ + +/* The units for the sine and cosine coefficients are */ +/* 0.1 microarcsecond and the same per Julian century */ + + static const struct { + int nl,nlp,nf,nd,nom; /* coefficients of l,l',F,D,Om */ + double sp,spt,cp; /* longitude sin, t*sin, cos coefficients */ + double ce,cet,se; /* obliquity cos, t*cos, sin coefficients */ + } xls[] = { + + /* 1- 10 */ + { 0, 0, 0, 0, 1, + -172064161.0, -174666.0, 33386.0, 92052331.0, 9086.0, 15377.0}, + { 0, 0, 2,-2, 2, + -13170906.0, -1675.0, -13696.0, 5730336.0, -3015.0, -4587.0}, + { 0, 0, 2, 0, 2,-2276413.0,-234.0,2796.0,978459.0,-485.0, 1374.0}, + { 0, 0, 0, 0, 2,2074554.0, 207.0, -698.0,-897492.0,470.0, -291.0}, + { 0, 1, 0, 0, 0,1475877.0,-3633.0,11817.0,73871.0,-184.0,-1924.0}, + { 0, 1, 2,-2, 2,-516821.0,1226.0, -524.0,224386.0,-677.0, -174.0}, + { 1, 0, 0, 0, 0, 711159.0, 73.0, -872.0, -6750.0, 0.0, 358.0}, + { 0, 0, 2, 0, 1,-387298.0,-367.0, 380.0, 200728.0, 18.0, 318.0}, + { 1, 0, 2, 0, 2,-301461.0, -36.0, 816.0, 129025.0,-63.0, 367.0}, + { 0,-1, 2,-2, 2, 215829.0,-494.0, 111.0, -95929.0,299.0, 132.0}, + + /* 11-20 */ + { 0, 0, 2,-2, 1, 128227.0, 137.0, 181.0, -68982.0, -9.0, 39.0}, + {-1, 0, 2, 0, 2, 123457.0, 11.0, 19.0, -53311.0, 32.0, -4.0}, + {-1, 0, 0, 2, 0, 156994.0, 10.0, -168.0, -1235.0, 0.0, 82.0}, + { 1, 0, 0, 0, 1, 63110.0, 63.0, 27.0, -33228.0, 0.0, -9.0}, + {-1, 0, 0, 0, 1, -57976.0, -63.0, -189.0, 31429.0, 0.0, -75.0}, + {-1, 0, 2, 2, 2, -59641.0, -11.0, 149.0, 25543.0,-11.0, 66.0}, + { 1, 0, 2, 0, 1, -51613.0, -42.0, 129.0, 26366.0, 0.0, 78.0}, + {-2, 0, 2, 0, 1, 45893.0, 50.0, 31.0, -24236.0,-10.0, 20.0}, + { 0, 0, 0, 2, 0, 63384.0, 11.0, -150.0, -1220.0, 0.0, 29.0}, + { 0, 0, 2, 2, 2, -38571.0, -1.0, 158.0, 16452.0,-11.0, 68.0}, + + /* 21-30 */ + { 0,-2, 2,-2, 2, 32481.0, 0.0, 0.0, -13870.0, 0.0, 0.0}, + {-2, 0, 0, 2, 0, -47722.0, 0.0, -18.0, 477.0, 0.0, -25.0}, + { 2, 0, 2, 0, 2, -31046.0, -1.0, 131.0, 13238.0,-11.0, 59.0}, + { 1, 0, 2,-2, 2, 28593.0, 0.0, -1.0, -12338.0, 10.0, -3.0}, + {-1, 0, 2, 0, 1, 20441.0, 21.0, 10.0, -10758.0, 0.0, -3.0}, + { 2, 0, 0, 0, 0, 29243.0, 0.0, -74.0, -609.0, 0.0, 13.0}, + { 0, 0, 2, 0, 0, 25887.0, 0.0, -66.0, -550.0, 0.0, 11.0}, + { 0, 1, 0, 0, 1, -14053.0, -25.0, 79.0, 8551.0, -2.0, -45.0}, + {-1, 0, 0, 2, 1, 15164.0, 10.0, 11.0, -8001.0, 0.0, -1.0}, + { 0, 2, 2,-2, 2, -15794.0, 72.0, -16.0, 6850.0,-42.0, -5.0}, + + /* 31-40 */ + { 0, 0,-2, 2, 0, 21783.0, 0.0, 13.0, -167.0, 0.0, 13.0}, + { 1, 0, 0,-2, 1, -12873.0, -10.0, -37.0, 6953.0, 0.0, -14.0}, + { 0,-1, 0, 0, 1, -12654.0, 11.0, 63.0, 6415.0, 0.0, 26.0}, + {-1, 0, 2, 2, 1, -10204.0, 0.0, 25.0, 5222.0, 0.0, 15.0}, + { 0, 2, 0, 0, 0, 16707.0, -85.0, -10.0, 168.0, -1.0, 10.0}, + { 1, 0, 2, 2, 2, -7691.0, 0.0, 44.0, 3268.0, 0.0, 19.0}, + {-2, 0, 2, 0, 0, -11024.0, 0.0, -14.0, 104.0, 0.0, 2.0}, + { 0, 1, 2, 0, 2, 7566.0, -21.0, -11.0, -3250.0, 0.0, -5.0}, + { 0, 0, 2, 2, 1, -6637.0, -11.0, 25.0, 3353.0, 0.0, 14.0}, + { 0,-1, 2, 0, 2, -7141.0, 21.0, 8.0, 3070.0, 0.0, 4.0}, + + /* 41-50 */ + { 0, 0, 0, 2, 1, -6302.0, -11.0, 2.0, 3272.0, 0.0, 4.0}, + { 1, 0, 2,-2, 1, 5800.0, 10.0, 2.0, -3045.0, 0.0, -1.0}, + { 2, 0, 2,-2, 2, 6443.0, 0.0, -7.0, -2768.0, 0.0, -4.0}, + {-2, 0, 0, 2, 1, -5774.0, -11.0, -15.0, 3041.0, 0.0, -5.0}, + { 2, 0, 2, 0, 1, -5350.0, 0.0, 21.0, 2695.0, 0.0, 12.0}, + { 0,-1, 2,-2, 1, -4752.0, -11.0, -3.0, 2719.0, 0.0, -3.0}, + { 0, 0, 0,-2, 1, -4940.0, -11.0, -21.0, 2720.0, 0.0, -9.0}, + {-1,-1, 0, 2, 0, 7350.0, 0.0, -8.0, -51.0, 0.0, 4.0}, + { 2, 0, 0,-2, 1, 4065.0, 0.0, 6.0, -2206.0, 0.0, 1.0}, + { 1, 0, 0, 2, 0, 6579.0, 0.0, -24.0, -199.0, 0.0, 2.0}, + + /* 51-60 */ + { 0, 1, 2,-2, 1, 3579.0, 0.0, 5.0, -1900.0, 0.0, 1.0}, + { 1,-1, 0, 0, 0, 4725.0, 0.0, -6.0, -41.0, 0.0, 3.0}, + {-2, 0, 2, 0, 2, -3075.0, 0.0, -2.0, 1313.0, 0.0, -1.0}, + { 3, 0, 2, 0, 2, -2904.0, 0.0, 15.0, 1233.0, 0.0, 7.0}, + { 0,-1, 0, 2, 0, 4348.0, 0.0, -10.0, -81.0, 0.0, 2.0}, + { 1,-1, 2, 0, 2, -2878.0, 0.0, 8.0, 1232.0, 0.0, 4.0}, + { 0, 0, 0, 1, 0, -4230.0, 0.0, 5.0, -20.0, 0.0, -2.0}, + {-1,-1, 2, 2, 2, -2819.0, 0.0, 7.0, 1207.0, 0.0, 3.0}, + {-1, 0, 2, 0, 0, -4056.0, 0.0, 5.0, 40.0, 0.0, -2.0}, + { 0,-1, 2, 2, 2, -2647.0, 0.0, 11.0, 1129.0, 0.0, 5.0}, + + /* 61-70 */ + {-2, 0, 0, 0, 1, -2294.0, 0.0, -10.0, 1266.0, 0.0, -4.0}, + { 1, 1, 2, 0, 2, 2481.0, 0.0, -7.0, -1062.0, 0.0, -3.0}, + { 2, 0, 0, 0, 1, 2179.0, 0.0, -2.0, -1129.0, 0.0, -2.0}, + {-1, 1, 0, 1, 0, 3276.0, 0.0, 1.0, -9.0, 0.0, 0.0}, + { 1, 1, 0, 0, 0, -3389.0, 0.0, 5.0, 35.0, 0.0, -2.0}, + { 1, 0, 2, 0, 0, 3339.0, 0.0, -13.0, -107.0, 0.0, 1.0}, + {-1, 0, 2,-2, 1, -1987.0, 0.0, -6.0, 1073.0, 0.0, -2.0}, + { 1, 0, 0, 0, 2, -1981.0, 0.0, 0.0, 854.0, 0.0, 0.0}, + {-1, 0, 0, 1, 0, 4026.0, 0.0, -353.0, -553.0, 0.0, -139.0}, + { 0, 0, 2, 1, 2, 1660.0, 0.0, -5.0, -710.0, 0.0, -2.0}, + + /* 71-80 */ + {-1, 0, 2, 4, 2, -1521.0, 0.0, 9.0, 647.0, 0.0, 4.0}, + {-1, 1, 0, 1, 1, 1314.0, 0.0, 0.0, -700.0, 0.0, 0.0}, + { 0,-2, 2,-2, 1, -1283.0, 0.0, 0.0, 672.0, 0.0, 0.0}, + { 1, 0, 2, 2, 1, -1331.0, 0.0, 8.0, 663.0, 0.0, 4.0}, + {-2, 0, 2, 2, 2, 1383.0, 0.0, -2.0, -594.0, 0.0, -2.0}, + {-1, 0, 0, 0, 2, 1405.0, 0.0, 4.0, -610.0, 0.0, 2.0}, + { 1, 1, 2,-2, 2, 1290.0, 0.0, 0.0, -556.0, 0.0, 0.0}, + {-2, 0, 2, 4, 2, -1214.0, 0.0, 5.0, 518.0, 0.0, 2.0}, + {-1, 0, 4, 0, 2, 1146.0, 0.0, -3.0, -490.0, 0.0, -1.0}, + { 2, 0, 2,-2, 1, 1019.0, 0.0, -1.0, -527.0, 0.0, -1.0}, + + /* 81-90 */ + { 2, 0, 2, 2, 2, -1100.0, 0.0, 9.0, 465.0, 0.0, 4.0}, + { 1, 0, 0, 2, 1, -970.0, 0.0, 2.0, 496.0, 0.0, 1.0}, + { 3, 0, 0, 0, 0, 1575.0, 0.0, -6.0, -50.0, 0.0, 0.0}, + { 3, 0, 2,-2, 2, 934.0, 0.0, -3.0, -399.0, 0.0, -1.0}, + { 0, 0, 4,-2, 2, 922.0, 0.0, -1.0, -395.0, 0.0, -1.0}, + { 0, 1, 2, 0, 1, 815.0, 0.0, -1.0, -422.0, 0.0, -1.0}, + { 0, 0,-2, 2, 1, 834.0, 0.0, 2.0, -440.0, 0.0, 1.0}, + { 0, 0, 2,-2, 3, 1248.0, 0.0, 0.0, -170.0, 0.0, 1.0}, + {-1, 0, 0, 4, 0, 1338.0, 0.0, -5.0, -39.0, 0.0, 0.0}, + { 2, 0,-2, 0, 1, 716.0, 0.0, -2.0, -389.0, 0.0, -1.0}, + + /* 91-100 */ + {-2, 0, 0, 4, 0, 1282.0, 0.0, -3.0, -23.0, 0.0, 1.0}, + {-1,-1, 0, 2, 1, 742.0, 0.0, 1.0, -391.0, 0.0, 0.0}, + {-1, 0, 0, 1, 1, 1020.0, 0.0, -25.0, -495.0, 0.0, -10.0}, + { 0, 1, 0, 0, 2, 715.0, 0.0, -4.0, -326.0, 0.0, 2.0}, + { 0, 0,-2, 0, 1, -666.0, 0.0, -3.0, 369.0, 0.0, -1.0}, + { 0,-1, 2, 0, 1, -667.0, 0.0, 1.0, 346.0, 0.0, 1.0}, + { 0, 0, 2,-1, 2, -704.0, 0.0, 0.0, 304.0, 0.0, 0.0}, + { 0, 0, 2, 4, 2, -694.0, 0.0, 5.0, 294.0, 0.0, 2.0}, + {-2,-1, 0, 2, 0, -1014.0, 0.0, -1.0, 4.0, 0.0, -1.0}, + { 1, 1, 0,-2, 1, -585.0, 0.0, -2.0, 316.0, 0.0, -1.0}, + + /* 101-110 */ + {-1, 1, 0, 2, 0, -949.0, 0.0, 1.0, 8.0, 0.0, -1.0}, + {-1, 1, 0, 1, 2, -595.0, 0.0, 0.0, 258.0, 0.0, 0.0}, + { 1,-1, 0, 0, 1, 528.0, 0.0, 0.0, -279.0, 0.0, 0.0}, + { 1,-1, 2, 2, 2, -590.0, 0.0, 4.0, 252.0, 0.0, 2.0}, + {-1, 1, 2, 2, 2, 570.0, 0.0, -2.0, -244.0, 0.0, -1.0}, + { 3, 0, 2, 0, 1, -502.0, 0.0, 3.0, 250.0, 0.0, 2.0}, + { 0, 1,-2, 2, 0, -875.0, 0.0, 1.0, 29.0, 0.0, 0.0}, + {-1, 0, 0,-2, 1, -492.0, 0.0, -3.0, 275.0, 0.0, -1.0}, + { 0, 1, 2, 2, 2, 535.0, 0.0, -2.0, -228.0, 0.0, -1.0}, + {-1,-1, 2, 2, 1, -467.0, 0.0, 1.0, 240.0, 0.0, 1.0}, + + /* 111-120 */ + { 0,-1, 0, 0, 2, 591.0, 0.0, 0.0, -253.0, 0.0, 0.0}, + { 1, 0, 2,-4, 1, -453.0, 0.0, -1.0, 244.0, 0.0, -1.0}, + {-1, 0,-2, 2, 0, 766.0, 0.0, 1.0, 9.0, 0.0, 0.0}, + { 0,-1, 2, 2, 1, -446.0, 0.0, 2.0, 225.0, 0.0, 1.0}, + { 2,-1, 2, 0, 2, -488.0, 0.0, 2.0, 207.0, 0.0, 1.0}, + { 0, 0, 0, 2, 2, -468.0, 0.0, 0.0, 201.0, 0.0, 0.0}, + { 1,-1, 2, 0, 1, -421.0, 0.0, 1.0, 216.0, 0.0, 1.0}, + {-1, 1, 2, 0, 2, 463.0, 0.0, 0.0, -200.0, 0.0, 0.0}, + { 0, 1, 0, 2, 0, -673.0, 0.0, 2.0, 14.0, 0.0, 0.0}, + { 0,-1,-2, 2, 0, 658.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + + /* 121-130 */ + { 0, 3, 2,-2, 2, -438.0, 0.0, 0.0, 188.0, 0.0, 0.0}, + { 0, 0, 0, 1, 1, -390.0, 0.0, 0.0, 205.0, 0.0, 0.0}, + {-1, 0, 2, 2, 0, 639.0, -11.0, -2.0, -19.0, 0.0, 0.0}, + { 2, 1, 2, 0, 2, 412.0, 0.0, -2.0, -176.0, 0.0, -1.0}, + { 1, 1, 0, 0, 1, -361.0, 0.0, 0.0, 189.0, 0.0, 0.0}, + { 1, 1, 2, 0, 1, 360.0, 0.0, -1.0, -185.0, 0.0, -1.0}, + { 2, 0, 0, 2, 0, 588.0, 0.0, -3.0, -24.0, 0.0, 0.0}, + { 1, 0,-2, 2, 0, -578.0, 0.0, 1.0, 5.0, 0.0, 0.0}, + {-1, 0, 0, 2, 2, -396.0, 0.0, 0.0, 171.0, 0.0, 0.0}, + { 0, 1, 0, 1, 0, 565.0, 0.0, -1.0, -6.0, 0.0, 0.0}, + + /* 131-140 */ + { 0, 1, 0,-2, 1, -335.0, 0.0, -1.0, 184.0, 0.0, -1.0}, + {-1, 0, 2,-2, 2, 357.0, 0.0, 1.0, -154.0, 0.0, 0.0}, + { 0, 0, 0,-1, 1, 321.0, 0.0, 1.0, -174.0, 0.0, 0.0}, + {-1, 1, 0, 0, 1, -301.0, 0.0, -1.0, 162.0, 0.0, 0.0}, + { 1, 0, 2,-1, 2, -334.0, 0.0, 0.0, 144.0, 0.0, 0.0}, + { 1,-1, 0, 2, 0, 493.0, 0.0, -2.0, -15.0, 0.0, 0.0}, + { 0, 0, 0, 4, 0, 494.0, 0.0, -2.0, -19.0, 0.0, 0.0}, + { 1, 0, 2, 1, 2, 337.0, 0.0, -1.0, -143.0, 0.0, -1.0}, + { 0, 0, 2, 1, 1, 280.0, 0.0, -1.0, -144.0, 0.0, 0.0}, + { 1, 0, 0,-2, 2, 309.0, 0.0, 1.0, -134.0, 0.0, 0.0}, + + /* 141-150 */ + {-1, 0, 2, 4, 1, -263.0, 0.0, 2.0, 131.0, 0.0, 1.0}, + { 1, 0,-2, 0, 1, 253.0, 0.0, 1.0, -138.0, 0.0, 0.0}, + { 1, 1, 2,-2, 1, 245.0, 0.0, 0.0, -128.0, 0.0, 0.0}, + { 0, 0, 2, 2, 0, 416.0, 0.0, -2.0, -17.0, 0.0, 0.0}, + {-1, 0, 2,-1, 1, -229.0, 0.0, 0.0, 128.0, 0.0, 0.0}, + {-2, 0, 2, 2, 1, 231.0, 0.0, 0.0, -120.0, 0.0, 0.0}, + { 4, 0, 2, 0, 2, -259.0, 0.0, 2.0, 109.0, 0.0, 1.0}, + { 2,-1, 0, 0, 0, 375.0, 0.0, -1.0, -8.0, 0.0, 0.0}, + { 2, 1, 2,-2, 2, 252.0, 0.0, 0.0, -108.0, 0.0, 0.0}, + { 0, 1, 2, 1, 2, -245.0, 0.0, 1.0, 104.0, 0.0, 0.0}, + + /* 151-160 */ + { 1, 0, 4,-2, 2, 243.0, 0.0, -1.0, -104.0, 0.0, 0.0}, + {-1,-1, 0, 0, 1, 208.0, 0.0, 1.0, -112.0, 0.0, 0.0}, + { 0, 1, 0, 2, 1, 199.0, 0.0, 0.0, -102.0, 0.0, 0.0}, + {-2, 0, 2, 4, 1, -208.0, 0.0, 1.0, 105.0, 0.0, 0.0}, + { 2, 0, 2, 0, 0, 335.0, 0.0, -2.0, -14.0, 0.0, 0.0}, + { 1, 0, 0, 1, 0, -325.0, 0.0, 1.0, 7.0, 0.0, 0.0}, + {-1, 0, 0, 4, 1, -187.0, 0.0, 0.0, 96.0, 0.0, 0.0}, + {-1, 0, 4, 0, 1, 197.0, 0.0, -1.0, -100.0, 0.0, 0.0}, + { 2, 0, 2, 2, 1, -192.0, 0.0, 2.0, 94.0, 0.0, 1.0}, + { 0, 0, 2,-3, 2, -188.0, 0.0, 0.0, 83.0, 0.0, 0.0}, + + /* 161-170 */ + {-1,-2, 0, 2, 0, 276.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 2, 1, 0, 0, 0, -286.0, 0.0, 1.0, 6.0, 0.0, 0.0}, + { 0, 0, 4, 0, 2, 186.0, 0.0, -1.0, -79.0, 0.0, 0.0}, + { 0, 0, 0, 0, 3, -219.0, 0.0, 0.0, 43.0, 0.0, 0.0}, + { 0, 3, 0, 0, 0, 276.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 0, 0, 2,-4, 1, -153.0, 0.0, -1.0, 84.0, 0.0, 0.0}, + { 0,-1, 0, 2, 1, -156.0, 0.0, 0.0, 81.0, 0.0, 0.0}, + { 0, 0, 0, 4, 1, -154.0, 0.0, 1.0, 78.0, 0.0, 0.0}, + {-1,-1, 2, 4, 2, -174.0, 0.0, 1.0, 75.0, 0.0, 0.0}, + { 1, 0, 2, 4, 2, -163.0, 0.0, 2.0, 69.0, 0.0, 1.0}, + + /* 171-180 */ + {-2, 2, 0, 2, 0, -228.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + {-2,-1, 2, 0, 1, 91.0, 0.0, -4.0, -54.0, 0.0, -2.0}, + {-2, 0, 0, 2, 2, 175.0, 0.0, 0.0, -75.0, 0.0, 0.0}, + {-1,-1, 2, 0, 2, -159.0, 0.0, 0.0, 69.0, 0.0, 0.0}, + { 0, 0, 4,-2, 1, 141.0, 0.0, 0.0, -72.0, 0.0, 0.0}, + { 3, 0, 2,-2, 1, 147.0, 0.0, 0.0, -75.0, 0.0, 0.0}, + {-2,-1, 0, 2, 1, -132.0, 0.0, 0.0, 69.0, 0.0, 0.0}, + { 1, 0, 0,-1, 1, 159.0, 0.0, -28.0, -54.0, 0.0, 11.0}, + { 0,-2, 0, 2, 0, 213.0, 0.0, 0.0, -4.0, 0.0, 0.0}, + {-2, 0, 0, 4, 1, 123.0, 0.0, 0.0, -64.0, 0.0, 0.0}, + + /* 181-190 */ + {-3, 0, 0, 0, 1, -118.0, 0.0, -1.0, 66.0, 0.0, 0.0}, + { 1, 1, 2, 2, 2, 144.0, 0.0, -1.0, -61.0, 0.0, 0.0}, + { 0, 0, 2, 4, 1, -121.0, 0.0, 1.0, 60.0, 0.0, 0.0}, + { 3, 0, 2, 2, 2, -134.0, 0.0, 1.0, 56.0, 0.0, 1.0}, + {-1, 1, 2,-2, 1, -105.0, 0.0, 0.0, 57.0, 0.0, 0.0}, + { 2, 0, 0,-4, 1, -102.0, 0.0, 0.0, 56.0, 0.0, 0.0}, + { 0, 0, 0,-2, 2, 120.0, 0.0, 0.0, -52.0, 0.0, 0.0}, + { 2, 0, 2,-4, 1, 101.0, 0.0, 0.0, -54.0, 0.0, 0.0}, + {-1, 1, 0, 2, 1, -113.0, 0.0, 0.0, 59.0, 0.0, 0.0}, + { 0, 0, 2,-1, 1, -106.0, 0.0, 0.0, 61.0, 0.0, 0.0}, + + /* 191-200 */ + { 0,-2, 2, 2, 2, -129.0, 0.0, 1.0, 55.0, 0.0, 0.0}, + { 2, 0, 0, 2, 1, -114.0, 0.0, 0.0, 57.0, 0.0, 0.0}, + { 4, 0, 2,-2, 2, 113.0, 0.0, -1.0, -49.0, 0.0, 0.0}, + { 2, 0, 0,-2, 2, -102.0, 0.0, 0.0, 44.0, 0.0, 0.0}, + { 0, 2, 0, 0, 1, -94.0, 0.0, 0.0, 51.0, 0.0, 0.0}, + { 1, 0, 0,-4, 1, -100.0, 0.0, -1.0, 56.0, 0.0, 0.0}, + { 0, 2, 2,-2, 1, 87.0, 0.0, 0.0, -47.0, 0.0, 0.0}, + {-3, 0, 0, 4, 0, 161.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + {-1, 1, 2, 0, 1, 96.0, 0.0, 0.0, -50.0, 0.0, 0.0}, + {-1,-1, 0, 4, 0, 151.0, 0.0, -1.0, -5.0, 0.0, 0.0}, + + /* 201-210 */ + {-1,-2, 2, 2, 2, -104.0, 0.0, 0.0, 44.0, 0.0, 0.0}, + {-2,-1, 2, 4, 2, -110.0, 0.0, 0.0, 48.0, 0.0, 0.0}, + { 1,-1, 2, 2, 1, -100.0, 0.0, 1.0, 50.0, 0.0, 0.0}, + {-2, 1, 0, 2, 0, 92.0, 0.0, -5.0, 12.0, 0.0, -2.0}, + {-2, 1, 2, 0, 1, 82.0, 0.0, 0.0, -45.0, 0.0, 0.0}, + { 2, 1, 0,-2, 1, 82.0, 0.0, 0.0, -45.0, 0.0, 0.0}, + {-3, 0, 2, 0, 1, -78.0, 0.0, 0.0, 41.0, 0.0, 0.0}, + {-2, 0, 2,-2, 1, -77.0, 0.0, 0.0, 43.0, 0.0, 0.0}, + {-1, 1, 0, 2, 2, 2.0, 0.0, 0.0, 54.0, 0.0, 0.0}, + { 0,-1, 2,-1, 2, 94.0, 0.0, 0.0, -40.0, 0.0, 0.0}, + + /* 211-220 */ + {-1, 0, 4,-2, 2, -93.0, 0.0, 0.0, 40.0, 0.0, 0.0}, + { 0,-2, 2, 0, 2, -83.0, 0.0, 10.0, 40.0, 0.0, -2.0}, + {-1, 0, 2, 1, 2, 83.0, 0.0, 0.0, -36.0, 0.0, 0.0}, + { 2, 0, 0, 0, 2, -91.0, 0.0, 0.0, 39.0, 0.0, 0.0}, + { 0, 0, 2, 0, 3, 128.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + {-2, 0, 4, 0, 2, -79.0, 0.0, 0.0, 34.0, 0.0, 0.0}, + {-1, 0,-2, 0, 1, -83.0, 0.0, 0.0, 47.0, 0.0, 0.0}, + {-1, 1, 2, 2, 1, 84.0, 0.0, 0.0, -44.0, 0.0, 0.0}, + { 3, 0, 0, 0, 1, 83.0, 0.0, 0.0, -43.0, 0.0, 0.0}, + {-1, 0, 2, 3, 2, 91.0, 0.0, 0.0, -39.0, 0.0, 0.0}, + + /* 221-230 */ + { 2,-1, 2, 0, 1, -77.0, 0.0, 0.0, 39.0, 0.0, 0.0}, + { 0, 1, 2, 2, 1, 84.0, 0.0, 0.0, -43.0, 0.0, 0.0}, + { 0,-1, 2, 4, 2, -92.0, 0.0, 1.0, 39.0, 0.0, 0.0}, + { 2,-1, 2, 2, 2, -92.0, 0.0, 1.0, 39.0, 0.0, 0.0}, + { 0, 2,-2, 2, 0, -94.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1,-1, 2,-1, 1, 68.0, 0.0, 0.0, -36.0, 0.0, 0.0}, + { 0,-2, 0, 0, 1, -61.0, 0.0, 0.0, 32.0, 0.0, 0.0}, + { 1, 0, 2,-4, 2, 71.0, 0.0, 0.0, -31.0, 0.0, 0.0}, + { 1,-1, 0,-2, 1, 62.0, 0.0, 0.0, -34.0, 0.0, 0.0}, + {-1,-1, 2, 0, 1, -63.0, 0.0, 0.0, 33.0, 0.0, 0.0}, + + /* 231-240 */ + { 1,-1, 2,-2, 2, -73.0, 0.0, 0.0, 32.0, 0.0, 0.0}, + {-2,-1, 0, 4, 0, 115.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + {-1, 0, 0, 3, 0, -103.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-2,-1, 2, 2, 2, 63.0, 0.0, 0.0, -28.0, 0.0, 0.0}, + { 0, 2, 2, 0, 2, 74.0, 0.0, 0.0, -32.0, 0.0, 0.0}, + { 1, 1, 0, 2, 0, -103.0, 0.0, -3.0, 3.0, 0.0, -1.0}, + { 2, 0, 2,-1, 2, -69.0, 0.0, 0.0, 30.0, 0.0, 0.0}, + { 1, 0, 2, 1, 1, 57.0, 0.0, 0.0, -29.0, 0.0, 0.0}, + { 4, 0, 0, 0, 0, 94.0, 0.0, 0.0, -4.0, 0.0, 0.0}, + { 2, 1, 2, 0, 1, 64.0, 0.0, 0.0, -33.0, 0.0, 0.0}, + + /* 241-250 */ + { 3,-1, 2, 0, 2, -63.0, 0.0, 0.0, 26.0, 0.0, 0.0}, + {-2, 2, 0, 2, 1, -38.0, 0.0, 0.0, 20.0, 0.0, 0.0}, + { 1, 0, 2,-3, 1, -43.0, 0.0, 0.0, 24.0, 0.0, 0.0}, + { 1, 1, 2,-4, 1, -45.0, 0.0, 0.0, 23.0, 0.0, 0.0}, + {-1,-1, 2,-2, 1, 47.0, 0.0, 0.0, -24.0, 0.0, 0.0}, + { 0,-1, 0,-1, 1, -48.0, 0.0, 0.0, 25.0, 0.0, 0.0}, + { 0,-1, 0,-2, 1, 45.0, 0.0, 0.0, -26.0, 0.0, 0.0}, + {-2, 0, 0, 0, 2, 56.0, 0.0, 0.0, -25.0, 0.0, 0.0}, + {-2, 0,-2, 2, 0, 88.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-1, 0,-2, 4, 0, -75.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + + /* 251-260 */ + { 1,-2, 0, 0, 0, 85.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 1, 0, 1, 1, 49.0, 0.0, 0.0, -26.0, 0.0, 0.0}, + {-1, 2, 0, 2, 0, -74.0, 0.0, -3.0, -1.0, 0.0, -1.0}, + { 1,-1, 2,-2, 1, -39.0, 0.0, 0.0, 21.0, 0.0, 0.0}, + { 1, 2, 2,-2, 2, 45.0, 0.0, 0.0, -20.0, 0.0, 0.0}, + { 2,-1, 2,-2, 2, 51.0, 0.0, 0.0, -22.0, 0.0, 0.0}, + { 1, 0, 2,-1, 1, -40.0, 0.0, 0.0, 21.0, 0.0, 0.0}, + { 2, 1, 2,-2, 1, 41.0, 0.0, 0.0, -21.0, 0.0, 0.0}, + {-2, 0, 0,-2, 1, -42.0, 0.0, 0.0, 24.0, 0.0, 0.0}, + { 1,-2, 2, 0, 2, -51.0, 0.0, 0.0, 22.0, 0.0, 0.0}, + + /* 261-270 */ + { 0, 1, 2, 1, 1, -42.0, 0.0, 0.0, 22.0, 0.0, 0.0}, + { 1, 0, 4,-2, 1, 39.0, 0.0, 0.0, -21.0, 0.0, 0.0}, + {-2, 0, 4, 2, 2, 46.0, 0.0, 0.0, -18.0, 0.0, 0.0}, + { 1, 1, 2, 1, 2, -53.0, 0.0, 0.0, 22.0, 0.0, 0.0}, + { 1, 0, 0, 4, 0, 82.0, 0.0, 0.0, -4.0, 0.0, 0.0}, + { 1, 0, 2, 2, 0, 81.0, 0.0, -1.0, -4.0, 0.0, 0.0}, + { 2, 0, 2, 1, 2, 47.0, 0.0, 0.0, -19.0, 0.0, 0.0}, + { 3, 1, 2, 0, 2, 53.0, 0.0, 0.0, -23.0, 0.0, 0.0}, + { 4, 0, 2, 0, 1, -45.0, 0.0, 0.0, 22.0, 0.0, 0.0}, + {-2,-1, 2, 0, 0, -44.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + + /* 271-280 */ + { 0, 1,-2, 2, 1, -33.0, 0.0, 0.0, 16.0, 0.0, 0.0}, + { 1, 0,-2, 1, 0, -61.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + { 0,-1,-2, 2, 1, 28.0, 0.0, 0.0, -15.0, 0.0, 0.0}, + { 2,-1, 0,-2, 1, -38.0, 0.0, 0.0, 19.0, 0.0, 0.0}, + {-1, 0, 2,-1, 2, -33.0, 0.0, 0.0, 21.0, 0.0, 0.0}, + { 1, 0, 2,-3, 2, -60.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 1, 2,-2, 3, 48.0, 0.0, 0.0, -10.0, 0.0, 0.0}, + { 0, 0, 2,-3, 1, 27.0, 0.0, 0.0, -14.0, 0.0, 0.0}, + {-1, 0,-2, 2, 1, 38.0, 0.0, 0.0, -20.0, 0.0, 0.0}, + { 0, 0, 2,-4, 2, 31.0, 0.0, 0.0, -13.0, 0.0, 0.0}, + + /* 281-290 */ + {-2, 1, 0, 0, 1, -29.0, 0.0, 0.0, 15.0, 0.0, 0.0}, + {-1, 0, 0,-1, 1, 28.0, 0.0, 0.0, -15.0, 0.0, 0.0}, + { 2, 0, 2,-4, 2, -32.0, 0.0, 0.0, 15.0, 0.0, 0.0}, + { 0, 0, 4,-4, 4, 45.0, 0.0, 0.0, -8.0, 0.0, 0.0}, + { 0, 0, 4,-4, 2, -44.0, 0.0, 0.0, 19.0, 0.0, 0.0}, + {-1,-2, 0, 2, 1, 28.0, 0.0, 0.0, -15.0, 0.0, 0.0}, + {-2, 0, 0, 3, 0, -51.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1, 0,-2, 2, 1, -36.0, 0.0, 0.0, 20.0, 0.0, 0.0}, + {-3, 0, 2, 2, 2, 44.0, 0.0, 0.0, -19.0, 0.0, 0.0}, + {-3, 0, 2, 2, 1, 26.0, 0.0, 0.0, -14.0, 0.0, 0.0}, + + /* 291-300 */ + {-2, 0, 2, 2, 0, -60.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 2,-1, 0, 0, 1, 35.0, 0.0, 0.0, -18.0, 0.0, 0.0}, + {-2, 1, 2, 2, 2, -27.0, 0.0, 0.0, 11.0, 0.0, 0.0}, + { 1, 1, 0, 1, 0, 47.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + { 0, 1, 4,-2, 2, 36.0, 0.0, 0.0, -15.0, 0.0, 0.0}, + {-1, 1, 0,-2, 1, -36.0, 0.0, 0.0, 20.0, 0.0, 0.0}, + { 0, 0, 0,-4, 1, -35.0, 0.0, 0.0, 19.0, 0.0, 0.0}, + { 1,-1, 0, 2, 1, -37.0, 0.0, 0.0, 19.0, 0.0, 0.0}, + { 1, 1, 0, 2, 1, 32.0, 0.0, 0.0, -16.0, 0.0, 0.0}, + {-1, 2, 2, 2, 2, 35.0, 0.0, 0.0, -14.0, 0.0, 0.0}, + + /* 301-310 */ + { 3, 1, 2,-2, 2, 32.0, 0.0, 0.0, -13.0, 0.0, 0.0}, + { 0,-1, 0, 4, 0, 65.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 2,-1, 0, 2, 0, 47.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + { 0, 0, 4, 0, 1, 32.0, 0.0, 0.0, -16.0, 0.0, 0.0}, + { 2, 0, 4,-2, 2, 37.0, 0.0, 0.0, -16.0, 0.0, 0.0}, + {-1,-1, 2, 4, 1, -30.0, 0.0, 0.0, 15.0, 0.0, 0.0}, + { 1, 0, 0, 4, 1, -32.0, 0.0, 0.0, 16.0, 0.0, 0.0}, + { 1,-2, 2, 2, 2, -31.0, 0.0, 0.0, 13.0, 0.0, 0.0}, + { 0, 0, 2, 3, 2, 37.0, 0.0, 0.0, -16.0, 0.0, 0.0}, + {-1, 1, 2, 4, 2, 31.0, 0.0, 0.0, -13.0, 0.0, 0.0}, + + /* 311-320 */ + { 3, 0, 0, 2, 0, 49.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + {-1, 0, 4, 2, 2, 32.0, 0.0, 0.0, -13.0, 0.0, 0.0}, + { 1, 1, 2, 2, 1, 23.0, 0.0, 0.0, -12.0, 0.0, 0.0}, + {-2, 0, 2, 6, 2, -43.0, 0.0, 0.0, 18.0, 0.0, 0.0}, + { 2, 1, 2, 2, 2, 26.0, 0.0, 0.0, -11.0, 0.0, 0.0}, + {-1, 0, 2, 6, 2, -32.0, 0.0, 0.0, 14.0, 0.0, 0.0}, + { 1, 0, 2, 4, 1, -29.0, 0.0, 0.0, 14.0, 0.0, 0.0}, + { 2, 0, 2, 4, 2, -27.0, 0.0, 0.0, 12.0, 0.0, 0.0}, + { 1, 1,-2, 1, 0, 30.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-3, 1, 2, 1, 2, -11.0, 0.0, 0.0, 5.0, 0.0, 0.0}, + + /* 321-330 */ + { 2, 0,-2, 0, 2, -21.0, 0.0, 0.0, 10.0, 0.0, 0.0}, + {-1, 0, 0, 1, 2, -34.0, 0.0, 0.0, 15.0, 0.0, 0.0}, + {-4, 0, 2, 2, 1, -10.0, 0.0, 0.0, 6.0, 0.0, 0.0}, + {-1,-1, 0, 1, 0, -36.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 0,-2, 2, 2, -9.0, 0.0, 0.0, 4.0, 0.0, 0.0}, + { 1, 0, 0,-1, 2, -12.0, 0.0, 0.0, 5.0, 0.0, 0.0}, + { 0,-1, 2,-2, 3, -21.0, 0.0, 0.0, 5.0, 0.0, 0.0}, + {-2, 1, 2, 0, 0, -29.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + { 0, 0, 2,-2, 4, -15.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + {-2,-2, 0, 2, 0, -20.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + + /* 331-340 */ + {-2, 0,-2, 4, 0, 28.0, 0.0, 0.0, 0.0, 0.0, -2.0}, + { 0,-2,-2, 2, 0, 17.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1, 2, 0,-2, 1, -22.0, 0.0, 0.0, 12.0, 0.0, 0.0}, + { 3, 0, 0,-4, 1, -14.0, 0.0, 0.0, 7.0, 0.0, 0.0}, + {-1, 1, 2,-2, 2, 24.0, 0.0, 0.0, -11.0, 0.0, 0.0}, + { 1,-1, 2,-4, 1, 11.0, 0.0, 0.0, -6.0, 0.0, 0.0}, + { 1, 1, 0,-2, 2, 14.0, 0.0, 0.0, -6.0, 0.0, 0.0}, + {-3, 0, 2, 0, 0, 24.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-3, 0, 2, 0, 2, 18.0, 0.0, 0.0, -8.0, 0.0, 0.0}, + {-2, 0, 0, 1, 0, -38.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + + /* 341-350 */ + { 0, 0,-2, 1, 0, -31.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-3, 0, 0, 2, 1, -16.0, 0.0, 0.0, 8.0, 0.0, 0.0}, + {-1,-1,-2, 2, 0, 29.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 1, 2,-4, 1, -18.0, 0.0, 0.0, 10.0, 0.0, 0.0}, + { 2, 1, 0,-4, 1, -10.0, 0.0, 0.0, 5.0, 0.0, 0.0}, + { 0, 2, 0,-2, 1, -17.0, 0.0, 0.0, 10.0, 0.0, 0.0}, + { 1, 0, 0,-3, 1, 9.0, 0.0, 0.0, -4.0, 0.0, 0.0}, + {-2, 0, 2,-2, 2, 16.0, 0.0, 0.0, -6.0, 0.0, 0.0}, + {-2,-1, 0, 0, 1, 22.0, 0.0, 0.0, -12.0, 0.0, 0.0}, + {-4, 0, 0, 2, 0, 20.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + + /* 351-360 */ + { 1, 1, 0,-4, 1, -13.0, 0.0, 0.0, 6.0, 0.0, 0.0}, + {-1, 0, 2,-4, 1, -17.0, 0.0, 0.0, 9.0, 0.0, 0.0}, + { 0, 0, 4,-4, 1, -14.0, 0.0, 0.0, 8.0, 0.0, 0.0}, + { 0, 3, 2,-2, 2, 0.0, 0.0, 0.0, -7.0, 0.0, 0.0}, + {-3,-1, 0, 4, 0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-3, 0, 0, 4, 1, 19.0, 0.0, 0.0, -10.0, 0.0, 0.0}, + { 1,-1,-2, 2, 0, -34.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1,-1, 0, 2, 2, -20.0, 0.0, 0.0, 8.0, 0.0, 0.0}, + { 1,-2, 0, 0, 1, 9.0, 0.0, 0.0, -5.0, 0.0, 0.0}, + { 1,-1, 0, 0, 2, -18.0, 0.0, 0.0, 7.0, 0.0, 0.0}, + + /* 361-370 */ + { 0, 0, 0, 1, 2, 13.0, 0.0, 0.0, -6.0, 0.0, 0.0}, + {-1,-1, 2, 0, 0, 17.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1,-2, 2,-2, 2, -12.0, 0.0, 0.0, 5.0, 0.0, 0.0}, + { 0,-1, 2,-1, 1, 15.0, 0.0, 0.0, -8.0, 0.0, 0.0}, + {-1, 0, 2, 0, 3, -11.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + { 1, 1, 0, 0, 2, 13.0, 0.0, 0.0, -5.0, 0.0, 0.0}, + {-1, 1, 2, 0, 0, -18.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1, 2, 0, 0, 0, -35.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1, 2, 2, 0, 2, 9.0, 0.0, 0.0, -4.0, 0.0, 0.0}, + {-1, 0, 4,-2, 1, -19.0, 0.0, 0.0, 10.0, 0.0, 0.0}, + + /* 371-380 */ + { 3, 0, 2,-4, 2, -26.0, 0.0, 0.0, 11.0, 0.0, 0.0}, + { 1, 2, 2,-2, 1, 8.0, 0.0, 0.0, -4.0, 0.0, 0.0}, + { 1, 0, 4,-4, 2, -10.0, 0.0, 0.0, 4.0, 0.0, 0.0}, + {-2,-1, 0, 4, 1, 10.0, 0.0, 0.0, -6.0, 0.0, 0.0}, + { 0,-1, 0, 2, 2, -21.0, 0.0, 0.0, 9.0, 0.0, 0.0}, + {-2, 1, 0, 4, 0, -15.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-2,-1, 2, 2, 1, 9.0, 0.0, 0.0, -5.0, 0.0, 0.0}, + { 2, 0,-2, 2, 0, -29.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1, 0, 0, 1, 1, -19.0, 0.0, 0.0, 10.0, 0.0, 0.0}, + { 0, 1, 0, 2, 2, 12.0, 0.0, 0.0, -5.0, 0.0, 0.0}, + + /* 381-390 */ + { 1,-1, 2,-1, 2, 22.0, 0.0, 0.0, -9.0, 0.0, 0.0}, + {-2, 0, 4, 0, 1, -10.0, 0.0, 0.0, 5.0, 0.0, 0.0}, + { 2, 1, 0, 0, 1, -20.0, 0.0, 0.0, 11.0, 0.0, 0.0}, + { 0, 1, 2, 0, 0, -20.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0,-1, 4,-2, 2, -17.0, 0.0, 0.0, 7.0, 0.0, 0.0}, + { 0, 0, 4,-2, 4, 15.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + { 0, 2, 2, 0, 1, 8.0, 0.0, 0.0, -4.0, 0.0, 0.0}, + {-3, 0, 0, 6, 0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1,-1, 0, 4, 1, -12.0, 0.0, 0.0, 6.0, 0.0, 0.0}, + { 1,-2, 0, 2, 0, 25.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + + /* 391-400 */ + {-1, 0, 0, 4, 2, -13.0, 0.0, 0.0, 6.0, 0.0, 0.0}, + {-1,-2, 2, 2, 1, -14.0, 0.0, 0.0, 8.0, 0.0, 0.0}, + {-1, 0, 0,-2, 2, 13.0, 0.0, 0.0, -5.0, 0.0, 0.0}, + { 1, 0,-2,-2, 1, -17.0, 0.0, 0.0, 9.0, 0.0, 0.0}, + { 0, 0,-2,-2, 1, -12.0, 0.0, 0.0, 6.0, 0.0, 0.0}, + {-2, 0,-2, 0, 1, -10.0, 0.0, 0.0, 5.0, 0.0, 0.0}, + { 0, 0, 0, 3, 1, 10.0, 0.0, 0.0, -6.0, 0.0, 0.0}, + { 0, 0, 0, 3, 0, -15.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1, 1, 0, 4, 0, -22.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1,-1, 2, 2, 0, 28.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + + /* 401-410 */ + {-2, 0, 2, 3, 2, 15.0, 0.0, 0.0, -7.0, 0.0, 0.0}, + { 1, 0, 0, 2, 2, 23.0, 0.0, 0.0, -10.0, 0.0, 0.0}, + { 0,-1, 2, 1, 2, 12.0, 0.0, 0.0, -5.0, 0.0, 0.0}, + { 3,-1, 0, 0, 0, 29.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + { 2, 0, 0, 1, 0, -25.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + { 1,-1, 2, 0, 0, 22.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 0, 2, 1, 0, -18.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1, 0, 2, 0, 3, 15.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + { 3, 1, 0, 0, 0, -23.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 3,-1, 2,-2, 2, 12.0, 0.0, 0.0, -5.0, 0.0, 0.0}, + + /* 411-420 */ + { 2, 0, 2,-1, 1, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0}, + { 1, 1, 2, 0, 0, -19.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 0, 4,-1, 2, -10.0, 0.0, 0.0, 4.0, 0.0, 0.0}, + { 1, 2, 2, 0, 2, 21.0, 0.0, 0.0, -9.0, 0.0, 0.0}, + {-2, 0, 0, 6, 0, 23.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + { 0,-1, 0, 4, 1, -16.0, 0.0, 0.0, 8.0, 0.0, 0.0}, + {-2,-1, 2, 4, 1, -19.0, 0.0, 0.0, 9.0, 0.0, 0.0}, + { 0,-2, 2, 2, 1, -22.0, 0.0, 0.0, 10.0, 0.0, 0.0}, + { 0,-1, 2, 2, 0, 27.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + {-1, 0, 2, 3, 1, 16.0, 0.0, 0.0, -8.0, 0.0, 0.0}, + + /* 421-430 */ + {-2, 1, 2, 4, 2, 19.0, 0.0, 0.0, -8.0, 0.0, 0.0}, + { 2, 0, 0, 2, 2, 9.0, 0.0, 0.0, -4.0, 0.0, 0.0}, + { 2,-2, 2, 0, 2, -9.0, 0.0, 0.0, 4.0, 0.0, 0.0}, + {-1, 1, 2, 3, 2, -9.0, 0.0, 0.0, 4.0, 0.0, 0.0}, + { 3, 0, 2,-1, 2, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0}, + { 4, 0, 2,-2, 1, 18.0, 0.0, 0.0, -9.0, 0.0, 0.0}, + {-1, 0, 0, 6, 0, 16.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + {-1,-2, 2, 4, 2, -10.0, 0.0, 0.0, 4.0, 0.0, 0.0}, + {-3, 0, 2, 6, 2, -23.0, 0.0, 0.0, 9.0, 0.0, 0.0}, + {-1, 0, 2, 4, 0, 16.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + + /* 431-440 */ + { 3, 0, 0, 2, 1, -12.0, 0.0, 0.0, 6.0, 0.0, 0.0}, + { 3,-1, 2, 0, 1, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0}, + { 3, 0, 2, 0, 0, 30.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 1, 0, 4, 0, 2, 24.0, 0.0, 0.0, -10.0, 0.0, 0.0}, + { 5, 0, 2,-2, 2, 10.0, 0.0, 0.0, -4.0, 0.0, 0.0}, + { 0,-1, 2, 4, 1, -16.0, 0.0, 0.0, 7.0, 0.0, 0.0}, + { 2,-1, 2, 2, 1, -16.0, 0.0, 0.0, 7.0, 0.0, 0.0}, + { 0, 1, 2, 4, 2, 17.0, 0.0, 0.0, -7.0, 0.0, 0.0}, + { 1,-1, 2, 4, 2, -24.0, 0.0, 0.0, 10.0, 0.0, 0.0}, + { 3,-1, 2, 2, 2, -12.0, 0.0, 0.0, 5.0, 0.0, 0.0}, + + /* 441-450 */ + { 3, 0, 2, 2, 1, -24.0, 0.0, 0.0, 11.0, 0.0, 0.0}, + { 5, 0, 2, 0, 2, -23.0, 0.0, 0.0, 9.0, 0.0, 0.0}, + { 0, 0, 2, 6, 2, -13.0, 0.0, 0.0, 5.0, 0.0, 0.0}, + { 4, 0, 2, 2, 2, -15.0, 0.0, 0.0, 7.0, 0.0, 0.0}, + { 0,-1, 1,-1, 1, 0.0, 0.0,-1988.0, 0.0, 0.0,-1679.0}, + {-1, 0, 1, 0, 3, 0.0, 0.0, -63.0, 0.0, 0.0, -27.0}, + { 0,-2, 2,-2, 3, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1, 0,-1, 0, 1, 0.0, 0.0, 5.0, 0.0, 0.0, 4.0}, + { 2,-2, 0,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + {-1, 0, 1, 0, 2, 0.0, 0.0, 364.0, 0.0, 0.0, 176.0}, + + /* 451-460 */ + {-1, 0, 1, 0, 1, 0.0, 0.0,-1044.0, 0.0, 0.0, -891.0}, + {-1,-1, 2,-1, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + {-2, 2, 0, 2, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + {-1, 0, 1, 0, 0, 0.0, 0.0, 330.0, 0.0, 0.0, 0.0}, + {-4, 1, 2, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + {-3, 0, 2, 1, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + {-2,-1, 2, 0, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + { 1, 0,-2, 1, 1, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 2,-1,-2, 0, 1, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + {-4, 0, 2, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + + /* 461-470 */ + {-3, 1, 0, 3, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1, 0,-1, 2, 0, 0.0, 0.0, 5.0, 0.0, 0.0, 0.0}, + { 0,-2, 0, 0, 2, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + { 0,-2, 0, 0, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + {-3, 0, 0, 3, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-2,-1, 0, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + {-1, 0,-2, 3, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-4, 0, 0, 4, 0, -12.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 2, 1,-2, 0, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + { 2,-1, 0,-2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + + /* 471-480 */ + { 0, 0, 1,-1, 0, -5.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1, 2, 0, 1, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-2, 1, 2, 0, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + { 1, 1, 0,-1, 1, 7.0, 0.0, 0.0, -4.0, 0.0, 0.0}, + { 1, 0, 1,-2, 1, 0.0, 0.0, -12.0, 0.0, 0.0, -10.0}, + { 0, 2, 0, 0, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 1,-1, 2,-3, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + {-1, 1, 2,-1, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-2, 0, 4,-2, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + {-2, 0, 4,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + + /* 481-490 */ + {-2,-2, 0, 2, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + {-2, 0,-2, 4, 0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1, 2, 2,-4, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + { 1, 1, 2,-4, 2, 7.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + {-1, 2, 2,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 2, 0, 0,-3, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + {-1, 2, 0, 0, 1, -5.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + { 0, 0, 0,-2, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1,-1, 2,-2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-1, 1, 0, 0, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + + /* 491-500 */ + { 0, 0, 0,-1, 2, -8.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + {-2, 1, 0, 1, 0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1,-2, 0,-2, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + { 1, 0,-2, 0, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-3, 1, 0, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1, 1,-2, 2, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1,-1, 0, 0, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + {-3, 0, 0, 2, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-3,-1, 0, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 2, 0, 2,-6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + + /* 501-510 */ + { 0, 1, 2,-4, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 2, 0, 0,-4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + {-2, 1, 2,-2, 1, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 0,-1, 2,-4, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 0, 1, 0,-2, 2, 9.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + {-1, 0, 0,-2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 2, 0,-2,-2, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + {-4, 0, 2, 0, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-1,-1, 0,-1, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 0, 0,-2, 0, 2, 9.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + + /* 511-520 */ + {-3, 0, 0, 1, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1, 0,-2, 1, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-2, 0,-2, 2, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 0, 0,-4, 2, 0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-2,-1,-2, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1, 0, 2,-6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-1, 0, 2,-4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + { 1, 0, 0,-4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + { 2, 1, 2,-4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + { 2, 1, 2,-4, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + + /* 521-530 */ + { 0, 1, 4,-4, 4, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 1, 4,-4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + {-1,-1,-2, 4, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1,-3, 0, 2, 0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1, 0,-2, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-2,-1, 0, 3, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 0,-2, 3, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-2, 0, 0, 3, 1, -5.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + { 0,-1, 0, 1, 0, -13.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-3, 0, 2, 2, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + + /* 531-540 */ + { 1, 1,-2, 2, 0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1, 1, 0, 2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + { 1,-2, 2,-2, 1, 10.0, 0.0, 13.0, 6.0, 0.0, -5.0}, + { 0, 0, 1, 0, 2, 0.0, 0.0, 30.0, 0.0, 0.0, 14.0}, + { 0, 0, 1, 0, 1, 0.0, 0.0, -162.0, 0.0, 0.0, -138.0}, + { 0, 0, 1, 0, 0, 0.0, 0.0, 75.0, 0.0, 0.0, 0.0}, + {-1, 2, 0, 2, 1, -7.0, 0.0, 0.0, 4.0, 0.0, 0.0}, + { 0, 0, 2, 0, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-2, 0, 2, 0, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 2, 0, 0,-1, 1, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + + /* 541-550 */ + { 3, 0, 0,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + { 1, 0, 2,-2, 3, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1, 2, 0, 0, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 2, 0, 2,-3, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-1, 1, 4,-2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-2,-2, 0, 4, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0,-3, 0, 2, 0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 0,-2, 4, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1,-1, 0, 3, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-2, 0, 0, 4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + + /* 551-560 */ + {-1, 0, 0, 3, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 2,-2, 0, 0, 0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1,-1, 0, 1, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1, 0, 0, 2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0,-2, 2, 0, 1, -6.0, 0.0, -3.0, 3.0, 0.0, 1.0}, + {-1, 0, 1, 2, 1, 0.0, 0.0, -3.0, 0.0, 0.0, -2.0}, + {-1, 1, 0, 3, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1,-1, 2, 1, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + { 0,-1, 2, 0, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-2, 1, 2, 2, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + + /* 561-570 */ + { 2,-2, 2,-2, 2, -1.0, 0.0, 3.0, 3.0, 0.0, -1.0}, + { 1, 1, 0, 1, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 1, 0, 1, 0, 1, 0.0, 0.0, -13.0, 0.0, 0.0, -11.0}, + { 1, 0, 1, 0, 0, 3.0, 0.0, 6.0, 0.0, 0.0, 0.0}, + { 0, 2, 0, 2, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 2,-1, 2,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + { 0,-1, 4,-2, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + { 0, 0, 4,-2, 3, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 1, 4,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + { 4, 0, 2,-4, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + + /* 571-580 */ + { 2, 2, 2,-2, 2, 8.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + { 2, 0, 4,-4, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-1,-2, 0, 4, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1,-3, 2, 2, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + {-3, 0, 2, 4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + {-3, 0, 2,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-1,-1, 0,-2, 1, 8.0, 0.0, 0.0, -4.0, 0.0, 0.0}, + {-3, 0, 0, 0, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + {-3, 0,-2, 2, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 1, 0,-4, 1, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + + /* 581-590 */ + {-2, 1, 0,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-4, 0, 0, 0, 1, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0}, + {-1, 0, 0,-4, 1, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + {-3, 0, 0,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 0, 0, 0, 3, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + {-1, 1, 0, 4, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + { 1,-2, 2, 0, 1, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + { 0, 1, 0, 3, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-1, 0, 2, 2, 3, 6.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + { 0, 0, 2, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + + /* 591-600 */ + {-2, 0, 2, 2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-1, 1, 2, 2, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 3, 0, 0, 0, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 2, 1, 0, 1, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 2,-1, 2,-1, 2, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + { 0, 0, 2, 0, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 0, 0, 3, 0, 3, 0.0, 0.0, -26.0, 0.0, 0.0, -11.0}, + { 0, 0, 3, 0, 2, 0.0, 0.0, -10.0, 0.0, 0.0, -5.0}, + {-1, 2, 2, 2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + {-1, 0, 4, 0, 0, -13.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + + /* 601-610 */ + { 1, 2, 2, 0, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 3, 1, 2,-2, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 1, 1, 4,-2, 2, 7.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + {-2,-1, 0, 6, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0,-2, 0, 4, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-2, 0, 0, 6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-2,-2, 2, 4, 2, -6.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 0,-3, 2, 2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 0, 0, 0, 4, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + {-1,-1, 2, 3, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + + /* 611-620 */ + {-2, 0, 2, 4, 0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 2,-1, 0, 2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 1, 0, 0, 3, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 1, 0, 4, 1, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 0, 1, 0, 4, 0, -11.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1,-1, 2, 1, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 0, 0, 2, 2, 3, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1, 0, 2, 2, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + {-1, 0, 2, 2, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-2, 0, 4, 2, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + + /* 621-630 */ + { 2, 1, 0, 2, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 2, 1, 0, 2, 0, -12.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 2,-1, 2, 0, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1, 0, 2, 1, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 1, 2, 2, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 2, 0, 2, 0, 3, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 3, 0, 2, 0, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + { 1, 0, 2, 0, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + { 1, 0, 3, 0, 3, 0.0, 0.0, -5.0, 0.0, 0.0, -2.0}, + { 1, 1, 2, 1, 1, -7.0, 0.0, 0.0, 4.0, 0.0, 0.0}, + + /* 631-640 */ + { 0, 2, 2, 2, 2, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + { 2, 1, 2, 0, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 2, 0, 4,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + { 4, 1, 2,-2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + {-1,-1, 0, 6, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + {-3,-1, 2, 6, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + {-1, 0, 0, 6, 1, -5.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + {-3, 0, 2, 6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 1,-1, 0, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 1,-1, 0, 4, 0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + + /* 641-650 */ + {-2, 0, 2, 5, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + { 1,-2, 2, 2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 3,-1, 0, 2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1,-1, 2, 2, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 0, 2, 3, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + {-1, 1, 2, 4, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 0, 1, 2, 3, 2, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + {-1, 0, 4, 2, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 2, 0, 2, 1, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + { 5, 0, 0, 0, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + + /* 651-660 */ + { 2, 1, 2, 1, 2, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + { 1, 0, 4, 0, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 3, 1, 2, 0, 1, 7.0, 0.0, 0.0, -4.0, 0.0, 0.0}, + { 3, 0, 4,-2, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + {-2,-1, 2, 6, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 0, 0, 0, 6, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0,-2, 2, 4, 2, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + {-2, 0, 2, 6, 1, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0}, + { 2, 0, 0, 4, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 2, 0, 0, 4, 0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + + /* 661-670 */ + { 2,-2, 2, 2, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 0, 0, 2, 4, 0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 1, 0, 2, 3, 2, 7.0, 0.0, 0.0, -3.0, 0.0, 0.0}, + { 4, 0, 0, 2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 2, 0, 2, 2, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0}, + { 0, 0, 4, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 4,-1, 2, 0, 2, -6.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 3, 0, 2, 1, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 2, 1, 2, 2, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 4, 1, 2, 0, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + + /* 671-678 */ + {-1,-1, 2, 6, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + {-1, 0, 2, 6, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 1,-1, 2, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0}, + { 1, 1, 2, 4, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0}, + { 3, 1, 2, 2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0}, + { 5, 0, 2, 0, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + { 2,-1, 2, 4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0}, + { 2, 0, 2, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0} + }; + +/* Number of terms in the luni-solar nutation model */ + const int NLS = (int) (sizeof xls / sizeof xls[0]); + +/* ------------------------ */ +/* Planetary nutation model */ +/* ------------------------ */ + +/* The units for the sine and cosine coefficients are */ +/* 0.1 microarcsecond */ + + static const struct { + int nl, /* coefficients of l, F, D and Omega */ + nf, + nd, + nom, + nme, /* coefficients of planetary longitudes */ + nve, + nea, + nma, + nju, + nsa, + nur, + nne, + npa; /* coefficient of general precession */ + int sp,cp; /* longitude sin, cos coefficients */ + int se,ce; /* obliquity sin, cos coefficients */ + } xpl[] = { + + /* 1-10 */ + { 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 0, 1440, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, -8, 16,-4,-5, 0, 0, 2, 56,-117, -42, -40}, + { 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 2, 125, -43, 0, -54}, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-1, 2, 2, 0, 5, 0, 0}, + { 0, 0, 0, 0, 0, 0, -4, 8,-1,-5, 0, 0, 2, 3, -7, -3, 0}, + { 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 1, 3, 0, 0, -2}, + { 0, 1,-1, 1, 0, 0, 3, -8, 3, 0, 0, 0, 0, -114, 0, 0, 61}, + {-1, 0, 0, 0, 0, 10, -3, 0, 0, 0, 0, 0, 0, -219, 89, 0, 0}, + { 0, 0, 0, 0, 0, 0, 0, 0,-2, 6,-3, 0, 2, -3, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, -462,1604, 0, 0}, + + /* 11-20 */ + { 0, 1,-1, 1, 0, 0, -5, 8,-3, 0, 0, 0, 0, 99, 0, 0, -53}, + { 0, 0, 0, 0, 0, 0, -4, 8,-3, 0, 0, 0, 1, -3, 0, 0, 2}, + { 0, 0, 0, 0, 0, 0, 4, -8, 1, 5, 0, 0, 2, 0, 6, 2, 0}, + { 0, 0, 0, 0, 0, -5, 6, 4, 0, 0, 0, 0, 2, 3, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 0, 0, 2,-5, 0, 0, 2, -12, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 0, 0, 2,-5, 0, 0, 1, 14,-218, 117, 8}, + { 0, 1,-1, 1, 0, 0, -1, 0, 2,-5, 0, 0, 0, 31,-481, -257, -17}, + { 0, 0, 0, 0, 0, 0, 0, 0, 2,-5, 0, 0, 0, -491, 128, 0, 0}, + { 0, 1,-1, 1, 0, 0, -1, 0,-2, 5, 0, 0, 0,-3084,5123, 2735,1647}, + { 0, 0, 0, 0, 0, 0, 0, 0,-2, 5, 0, 0, 1,-1444,2409,-1286,-771}, + + /* 21-30 */ + { 0, 0, 0, 0, 0, 0, 0, 0,-2, 5, 0, 0, 2, 11, -24, -11, -9}, + { 2,-1,-1, 0, 0, 0, 3, -7, 0, 0, 0, 0, 0, 26, -9, 0, 0}, + { 1, 0,-2, 0, 0, 19,-21, 3, 0, 0, 0, 0, 0, 103, -60, 0, 0}, + { 0, 1,-1, 1, 0, 2, -4, 0,-3, 0, 0, 0, 0, 0, -13, -7, 0}, + { 1, 0,-1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0, -26, -29, -16, 14}, + { 0, 1,-1, 1, 0, 0, -1, 0,-4,10, 0, 0, 0, 9, -27, -14, -5}, + {-2, 0, 2, 1, 0, 0, 2, 0, 0,-5, 0, 0, 0, 12, 0, 0, -6}, + { 0, 0, 0, 0, 0, 3, -7, 4, 0, 0, 0, 0, 0, -7, 0, 0, 0}, + { 0,-1, 1, 0, 0, 0, 1, 0, 1,-1, 0, 0, 0, 0, 24, 0, 0}, + {-2, 0, 2, 1, 0, 0, 2, 0,-2, 0, 0, 0, 0, 284, 0, 0,-151}, + + /* 31-40 */ + {-1, 0, 0, 0, 0, 18,-16, 0, 0, 0, 0, 0, 0, 226, 101, 0, 0}, + {-2, 1, 1, 2, 0, 0, 1, 0,-2, 0, 0, 0, 0, 0, -8, -2, 0}, + {-1, 1,-1, 1, 0, 18,-17, 0, 0, 0, 0, 0, 0, 0, -6, -3, 0}, + {-1, 0, 1, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 5, 0, 0, -3}, + { 0, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 2, -41, 175, 76, 17}, + { 0, 2,-2, 2, 0, -8, 11, 0, 0, 0, 0, 0, 0, 0, 15, 6, 0}, + { 0, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 1, 425, 212, -133, 269}, + { 0, 1,-1, 1, 0, -8, 12, 0, 0, 0, 0, 0, 0, 1200, 598, 319,-641}, + { 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 0, 235, 334, 0, 0}, + { 0, 1,-1, 1, 0, 8,-14, 0, 0, 0, 0, 0, 0, 11, -12, -7, -6}, + + /* 41-50 */ + { 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 1, 5, -6, 3, 3}, + {-2, 0, 2, 1, 0, 0, 2, 0,-4, 5, 0, 0, 0, -5, 0, 0, 3}, + {-2, 0, 2, 2, 0, 3, -3, 0, 0, 0, 0, 0, 0, 6, 0, 0, -3}, + {-2, 0, 2, 0, 0, 0, 2, 0,-3, 1, 0, 0, 0, 15, 0, 0, 0}, + { 0, 0, 0, 1, 0, 3, -5, 0, 2, 0, 0, 0, 0, 13, 0, 0, -7}, + {-2, 0, 2, 0, 0, 0, 2, 0,-4, 3, 0, 0, 0, -6, -9, 0, 0}, + { 0,-1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 266, -78, 0, 0}, + { 0, 0, 0, 1, 0, 0, -1, 2, 0, 0, 0, 0, 0, -460,-435, -232, 246}, + { 0, 1,-1, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 15, 7, 0}, + {-1, 1, 0, 1, 0, 3, -5, 0, 0, 0, 0, 0, 0, -3, 0, 0, 2}, + + /* 51-60 */ + {-1, 0, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, 131, 0, 0}, + {-2, 0, 2, 0, 0, 0, 2, 0,-2,-2, 0, 0, 0, 4, 0, 0, 0}, + {-2, 2, 0, 2, 0, 0, -5, 9, 0, 0, 0, 0, 0, 0, 3, 0, 0}, + { 0, 1,-1, 1, 0, 0, -1, 0, 0, 0,-1, 0, 0, 0, 4, 2, 0}, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0}, + { 0, 1,-1, 1, 0, 0, -1, 0, 0, 0, 0, 2, 0, -17, -19, -10, 9}, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -9, -11, 6, -5}, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -6, 0, 0, 3}, + {-1, 0, 1, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -16, 8, 0, 0}, + { 0,-1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0}, + + /* 61-70 */ + { 0, 1,-1, 2, 0, 0, -1, 0, 0, 2, 0, 0, 0, 11, 24, 11, -5}, + { 0, 0, 0, 1, 0, 0, -9, 17, 0, 0, 0, 0, 0, -3, -4, -2, 1}, + { 0, 0, 0, 2, 0, -3, 5, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1}, + { 0, 1,-1, 1, 0, 0, -1, 0,-1, 2, 0, 0, 0, 0, -8, -4, 0}, + { 0, 0, 0, 0, 0, 0, 0, 0, 1,-2, 0, 0, 0, 0, 3, 0, 0}, + { 1, 0,-2, 0, 0, 17,-16, 0,-2, 0, 0, 0, 0, 0, 5, 0, 0}, + { 0, 1,-1, 1, 0, 0, -1, 0, 1,-3, 0, 0, 0, 0, 3, 2, 0}, + {-2, 0, 2, 1, 0, 0, 5, -6, 0, 0, 0, 0, 0, -6, 4, 2, 3}, + { 0,-2, 2, 0, 0, 0, 9,-13, 0, 0, 0, 0, 0, -3, -5, 0, 0}, + { 0, 1,-1, 2, 0, 0, -1, 0, 0, 1, 0, 0, 0, -5, 0, 0, 2}, + + /* 71-80 */ + { 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 24, 13, -2}, + { 0,-1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, -42, 20, 0, 0}, + { 0,-2, 2, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0, -10, 233, 0, 0}, + { 0,-1, 1, 1, 0, 5, -7, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1}, + {-2, 0, 2, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0, 78, -18, 0, 0}, + { 2, 1,-3, 1, 0, -6, 7, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0}, + { 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -3, -1, 0}, + { 0,-1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, -4, -2, 1}, + { 0, 1,-1, 1, 0, 0, -1, 0, 0, 0, 2, 0, 0, 0, -8, -4, -1}, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, -5, 3, 0}, + + /* 81-90 */ + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -7, 0, 0, 3}, + { 0, 0, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 2, -14, 8, 3, 6}, + { 0, 0, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 1, 0, 8, -4, 0}, + { 0, 1,-1, 1, 0, 0, -9, 15, 0, 0, 0, 0, 0, 0, 19, 10, 0}, + { 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0, 45, -22, 0, 0}, + { 1,-1,-1, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0, -3, 0, 0, 0}, + { 2, 0,-2, 0, 0, 2, -5, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0}, + {-2, 0, 2, 0, 0, 0, 2, 0,-5, 5, 0, 0, 0, 0, 3, 0, 0}, + { 2, 0,-2, 1, 0, 0, -6, 8, 0, 0, 0, 0, 0, 3, 5, 3, -2}, + { 2, 0,-2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0, 89, -16, -9, -48}, + + /* 91-100 */ + {-2, 1, 1, 0, 0, 0, 1, 0,-3, 0, 0, 0, 0, 0, 3, 0, 0}, + {-2, 1, 1, 1, 0, 0, 1, 0,-3, 0, 0, 0, 0, -3, 7, 4, 2}, + {-2, 0, 2, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, -349, -62, 0, 0}, + {-2, 0, 2, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, -15, 22, 0, 0}, + {-2, 0, 2, 0, 0, 0, 2, 0,-1,-5, 0, 0, 0, -3, 0, 0, 0}, + {-1, 0, 1, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, -53, 0, 0, 0}, + {-1, 1, 1, 1, 0,-20, 20, 0, 0, 0, 0, 0, 0, 5, 0, 0, -3}, + { 1, 0,-2, 0, 0, 20,-21, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0}, + { 0, 0, 0, 1, 0, 0, 8,-15, 0, 0, 0, 0, 0, 15, -7, -4, -8}, + { 0, 2,-2, 1, 0, 0,-10, 15, 0, 0, 0, 0, 0, -3, 0, 0, 1}, + + /* 101-110 */ + { 0,-1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, -21, -78, 0, 0}, + { 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 20, -70, -37, -11}, + { 0, 1,-1, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 6, 3, 0}, + { 0, 1,-1, 1, 0, 0, -1, 0,-2, 4, 0, 0, 0, 5, 3, 2, -2}, + { 2, 0,-2, 1, 0, -6, 8, 0, 0, 0, 0, 0, 0, -17, -4, -2, 9}, + { 0,-2, 2, 1, 0, 5, -6, 0, 0, 0, 0, 0, 0, 0, 6, 3, 0}, + { 0, 0, 0, 0, 0, 0, 0, 0, 0,-1, 0, 0, 1, 32, 15, -8, 17}, + { 0, 1,-1, 1, 0, 0, -1, 0, 0,-1, 0, 0, 0, 174, 84, 45, -93}, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 11, 56, 0, 0}, + { 0, 1,-1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, -66, -12, -6, 35}, + + /* 111-120 */ + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 47, 8, 4, -25}, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 8, 4, 0}, + { 0, 2,-2, 1, 0, 0, -9, 13, 0, 0, 0, 0, 0, 10, -22, -12, -5}, + { 0, 0, 0, 1, 0, 0, 7,-13, 0, 0, 0, 0, 0, -3, 0, 0, 2}, + {-2, 0, 2, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, -24, 12, 0, 0}, + { 0, 0, 0, 0, 0, 0, 9,-17, 0, 0, 0, 0, 0, 5, -6, 0, 0}, + { 0, 0, 0, 0, 0, 0, -9, 17, 0, 0, 0, 0, 2, 3, 0, 0, -2}, + { 1, 0,-1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 4, 3, 1, -2}, + { 1, 0,-1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0, 0, 29, 15, 0}, + { 0, 0, 0, 2, 0, 0, -1, 2, 0, 0, 0, 0, 0, -5, -4, -2, 2}, + + /* 121-130 */ + { 0,-1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8, -3, -1, -5}, + { 0,-2, 2, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0}, + { 0, 0, 0, 0, 0, 3, -5, 0, 2, 0, 0, 0, 0, 10, 0, 0, 0}, + {-2, 0, 2, 1, 0, 0, 2, 0,-3, 1, 0, 0, 0, 3, 0, 0, -2}, + {-2, 0, 2, 1, 0, 3, -3, 0, 0, 0, 0, 0, 0, -5, 0, 0, 3}, + { 0, 0, 0, 1, 0, 8,-13, 0, 0, 0, 0, 0, 0, 46, 66, 35, -25}, + { 0,-1, 1, 0, 0, 8,-12, 0, 0, 0, 0, 0, 0, -14, 7, 0, 0}, + { 0, 2,-2, 1, 0, -8, 11, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0}, + {-1, 0, 1, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -5, 0, 0, 0}, + {-1, 0, 0, 1, 0, 18,-16, 0, 0, 0, 0, 0, 0, -68, -34, -18, 36}, + + /* 131-140 */ + { 0, 1,-1, 1, 0, 0, -1, 0,-1, 1, 0, 0, 0, 0, 14, 7, 0}, + { 0, 0, 0, 1, 0, 3, -7, 4, 0, 0, 0, 0, 0, 10, -6, -3, -5}, + {-2, 1, 1, 1, 0, 0, -3, 7, 0, 0, 0, 0, 0, -5, -4, -2, 3}, + { 0, 1,-1, 2, 0, 0, -1, 0,-2, 5, 0, 0, 0, -3, 5, 2, 1}, + { 0, 0, 0, 1, 0, 0, 0, 0,-2, 5, 0, 0, 0, 76, 17, 9, -41}, + { 0, 0, 0, 1, 0, 0, -4, 8,-3, 0, 0, 0, 0, 84, 298, 159, -45}, + { 1, 0, 0, 1, 0,-10, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1}, + { 0, 2,-2, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, -3, 0, 0, 2}, + {-1, 0, 0, 1, 0, 10, -3, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1}, + { 0, 0, 0, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0, -82, 292, 156, 44}, + + /* 141-150 */ + { 0, 0, 0, 1, 0, 0, 0, 0, 2,-5, 0, 0, 0, -73, 17, 9, 39}, + { 0,-1, 1, 0, 0, 0, 1, 0, 2,-5, 0, 0, 0, -9, -16, 0, 0}, + { 2,-1,-1, 1, 0, 0, 3, -7, 0, 0, 0, 0, 0, 3, 0, -1, -2}, + {-2, 0, 2, 0, 0, 0, 2, 0, 0,-5, 0, 0, 0, -3, 0, 0, 0}, + { 0, 0, 0, 1, 0, -3, 7, -4, 0, 0, 0, 0, 0, -9, -5, -3, 5}, + {-2, 0, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -439, 0, 0, 0}, + { 1, 0, 0, 1, 0,-18, 16, 0, 0, 0, 0, 0, 0, 57, -28, -15, -30}, + {-2, 1, 1, 1, 0, 0, 1, 0,-2, 0, 0, 0, 0, 0, -6, -3, 0}, + { 0, 1,-1, 2, 0, -8, 12, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2}, + { 0, 0, 0, 1, 0, -8, 13, 0, 0, 0, 0, 0, 0, -40, 57, 30, 21}, + + /* 151-160 */ + { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 1, 23, 7, 3, -13}, + { 0, 1,-1, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 273, 80, 43,-146}, + { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -449, 430, 0, 0}, + { 0, 1,-1, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0, -8, -47, -25, 4}, + { 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 1, 6, 47, 25, -3}, + {-1, 0, 1, 1, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, 23, 13, 0}, + {-1, 0, 1, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, -3, 0, 0, 2}, + { 0, 1,-1, 1, 0, 0, -1, 0, 0,-2, 0, 0, 0, 3, -4, -2, -2}, + { 0, 1,-1, 1, 0, 0, -1, 0, 0, 2, 0, 0, 0, -48,-110, -59, 26}, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 51, 114, 61, -27}, + + /* 161-170 */ + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, -133, 0, 0, 57}, + { 0, 1,-1, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0}, + { 0, 0, 0, 1, 0, -3, 5, 0, 0, 0, 0, 0, 0, -21, -6, -3, 11}, + { 0, 1,-1, 2, 0, -3, 4, 0, 0, 0, 0, 0, 0, 0, -3, -1, 0}, + { 0, 0, 0, 1, 0, 0, -2, 4, 0, 0, 0, 0, 0, -11, -21, -11, 6}, + { 0, 2,-2, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0, -18,-436, -233, 9}, + { 0,-1, 1, 0, 0, 5, -7, 0, 0, 0, 0, 0, 0, 35, -7, 0, 0}, + { 0, 0, 0, 1, 0, 5, -8, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0}, + {-2, 0, 2, 1, 0, 6, -8, 0, 0, 0, 0, 0, 0, 11, -3, -1, -6}, + { 0, 0, 0, 1, 0, 0, -8, 15, 0, 0, 0, 0, 0, -5, -3, -1, 3}, + + /* 171-180 */ + {-2, 0, 2, 1, 0, 0, 2, 0,-3, 0, 0, 0, 0, -53, -9, -5, 28}, + {-2, 0, 2, 1, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0, 3, 2, 1}, + { 1, 0,-1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 4, 0, 0, -2}, + { 0, 0, 0, 0, 0, 0, 0, 0, 3,-5, 0, 0, 0, 0, -4, 0, 0}, + { 0, 1,-1, 1, 0, 0, -1, 0,-1, 0, 0, 0, 0, -50, 194, 103, 27}, + { 0, 0, 0, 0, 0, 0, 0, 0,-1, 0, 0, 0, 1, -13, 52, 28, 7}, + { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -91, 248, 0, 0}, + { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 6, 49, 26, -3}, + { 0, 1,-1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, -6, -47, -25, 3}, + { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 5, 3, 0}, + + /* 181-190 */ + { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 52, 23, 10, -23}, + { 0, 1,-1, 2, 0, 0, -1, 0, 0,-1, 0, 0, 0, -3, 0, 0, 1}, + { 0, 0, 0, 1, 0, 0, 0, 0, 0,-1, 0, 0, 0, 0, 5, 3, 0}, + { 0,-1, 1, 0, 0, 0, 1, 0, 0,-1, 0, 0, 0, -4, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, -7, 13, 0, 0, 0, 0, 2, -4, 8, 3, 2}, + { 0, 0, 0, 0, 0, 0, 7,-13, 0, 0, 0, 0, 0, 10, 0, 0, 0}, + { 2, 0,-2, 1, 0, 0, -5, 6, 0, 0, 0, 0, 0, 3, 0, 0, -2}, + { 0, 2,-2, 1, 0, 0, -8, 11, 0, 0, 0, 0, 0, 0, 8, 4, 0}, + { 0, 2,-2, 1,-1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 8, 4, 1}, + {-2, 0, 2, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0}, + + /* 191-200 */ + { 0, 0, 0, 0, 0, 0, 0, 0, 2,-2, 0, 0, 0, -4, 0, 0, 0}, + { 0, 1,-1, 1, 0, 0, -1, 0, 0, 3, 0, 0, 0, -8, 4, 2, 4}, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 1, 8, -4, -2, -4}, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 15, 7, 0}, + {-2, 0, 2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, -138, 0, 0, 0}, + { 0, 0, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, -7, -3, 0}, + { 0, 0, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -7, -3, 0}, + { 2, 0,-2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 54, 0, 0, -29}, + { 0, 1,-1, 2, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 10, 4, 0}, + { 0, 1,-1, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -7, 0, 0, 3}, + + /* 201-210 */ + { 0, 0, 0, 1, 0, 0, 1, -2, 0, 0, 0, 0, 0, -37, 35, 19, 20}, + { 0,-1, 1, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 4, 0, 0}, + { 0,-1, 1, 0, 0, 0, 1, 0, 0,-2, 0, 0, 0, -4, 9, 0, 0}, + { 0, 2,-2, 1, 0, 0, -2, 0, 0, 2, 0, 0, 0, 8, 0, 0, -4}, + { 0, 1,-1, 1, 0, 3, -6, 0, 0, 0, 0, 0, 0, -9, -14, -8, 5}, + { 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 1, -3, -9, -5, 3}, + { 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 0, -145, 47, 0, 0}, + { 0, 1,-1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0, -10, 40, 21, 5}, + { 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 0, 1, 11, -49, -26, -7}, + { 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 0, 2,-2150, 0, 0, 932}, + + /* 211-220 */ + { 0, 2,-2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0, -12, 0, 0, 5}, + { 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 0, 2, 85, 0, 0, -37}, + { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 1, 4, 0, 0, -2}, + { 0, 1,-1, 1, 0, 0, 1, -4, 0, 0, 0, 0, 0, 3, 0, 0, -2}, + { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, -86, 153, 0, 0}, + { 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, -6, 9, 5, 3}, + { 0, 1,-1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 9, -13, -7, -5}, + { 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, -8, 12, 6, 4}, + { 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 2, -51, 0, 0, 22}, + { 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 2, -11,-268, -116, 5}, + + /* 221-230 */ + { 0, 2,-2, 2, 0, -5, 6, 0, 0, 0, 0, 0, 0, 0, 12, 5, 0}, + { 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 2, 0, 7, 3, 0}, + { 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 1, 31, 6, 3, -17}, + { 0, 1,-1, 1, 0, -5, 7, 0, 0, 0, 0, 0, 0, 140, 27, 14, -75}, + { 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 1, 57, 11, 6, -30}, + { 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, 0, -14, -39, 0, 0}, + { 0, 1,-1, 2, 0, 0, -1, 0,-1, 0, 0, 0, 0, 0, -6, -2, 0}, + { 0, 0, 0, 1, 0, 0, 0, 0,-1, 0, 0, 0, 0, 4, 15, 8, -2}, + { 0,-1, 1, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 0, 4, 0, 0}, + { 0, 2,-2, 1, 0, 0, -2, 0, 1, 0, 0, 0, 0, -3, 0, 0, 1}, + + /* 231-240 */ + { 0, 0, 0, 0, 0, 0, -6, 11, 0, 0, 0, 0, 2, 0, 11, 5, 0}, + { 0, 0, 0, 0, 0, 0, 6,-11, 0, 0, 0, 0, 0, 9, 6, 0, 0}, + { 0, 0, 0, 0,-1, 0, 4, 0, 0, 0, 0, 0, 2, -4, 10, 4, 2}, + { 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 0, 5, 3, 0, 0}, + { 2, 0,-2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0, 16, 0, 0, -9}, + {-2, 0, 2, 0, 0, 0, 2, 0, 0,-2, 0, 0, 0, -3, 0, 0, 0}, + { 0, 2,-2, 1, 0, 0, -7, 9, 0, 0, 0, 0, 0, 0, 3, 2, -1}, + { 0, 0, 0, 0, 0, 0, 0, 0, 4,-5, 0, 0, 2, 7, 0, 0, -3}, + { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -25, 22, 0, 0}, + { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 42, 223, 119, -22}, + + /* 241-250 */ + { 0, 1,-1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0, -27,-143, -77, 14}, + { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 9, 49, 26, -5}, + { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2,-1166, 0, 0, 505}, + { 0, 2,-2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -5, 0, 0, 2}, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 2, -6, 0, 0, 3}, + { 0, 0, 0, 1, 0, 3, -5, 0, 0, 0, 0, 0, 0, -8, 0, 1, 4}, + { 0,-1, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0}, + { 0, 2,-2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0, 117, 0, 0, -63}, + { 0, 0, 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0, -4, 8, 4, 2}, + { 0, 2,-2, 1, 0, 0, -4, 4, 0, 0, 0, 0, 0, 3, 0, 0, -2}, + + /* 251-260 */ + { 0, 1,-1, 2, 0, -5, 7, 0, 0, 0, 0, 0, 0, -5, 0, 0, 2}, + { 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 31, 0, 0}, + { 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 1, -5, 0, 1, 3}, + { 0, 1,-1, 1, 0, 0, -4, 6, 0, 0, 0, 0, 0, 4, 0, 0, -2}, + { 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 1, -4, 0, 0, 2}, + { 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 2, -24, -13, -6, 10}, + { 0,-1, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0}, + { 0, 0, 0, 1, 0, 2, -3, 0, 0, 0, 0, 0, 0, 0, -32, -17, 0}, + { 0, 0, 0, 0, 0, 0, -5, 9, 0, 0, 0, 0, 2, 8, 12, 5, -3}, + { 0, 0, 0, 0, 0, 0, -5, 9, 0, 0, 0, 0, 1, 3, 0, 0, -1}, + + /* 261-270 */ + { 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, 0, 7, 13, 0, 0}, + { 0,-1, 1, 0, 0, 0, 1, 0,-2, 0, 0, 0, 0, -3, 16, 0, 0}, + { 0, 2,-2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 50, 0, 0, -27}, + {-2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -5, -3, 0}, + { 0,-2, 2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0}, + { 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 0, 1, 0, 5, 3, 1}, + { 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 0, 2, 24, 5, 2, -11}, + { 0, 0, 0, 0, 0, -2, 3, 0, 0, 0, 0, 0, 2, 5, -11, -5, -2}, + { 0, 0, 0, 0, 0, -2, 3, 0, 0, 0, 0, 0, 1, 30, -3, -2, -16}, + { 0, 1,-1, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 18, 0, 0, -9}, + + /* 271-280 */ + { 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0, 8, 614, 0, 0}, + { 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 1, 3, -3, -1, -2}, + { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 6, 17, 9, -3}, + { 0, 1,-1, 1, 0, 0, -1, 0, 3, 0, 0, 0, 0, -3, -9, -5, 2}, + { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 6, 3, -1}, + { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, -127, 21, 9, 55}, + { 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0, 3, 5, 0, 0}, + { 0, 0, 0, 0, 0, 0, -4, 8, 0, 0, 0, 0, 2, -6, -10, -4, 3}, + { 0,-2, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 5, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 2, 16, 9, 4, -7}, + + /* 281-290 */ + { 0, 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 1, 3, 0, 0, -2}, + { 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0, 0, 22, 0, 0}, + { 0, 0, 0, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0, 0, 19, 10, 0}, + { 0, 2,-2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0, 7, 0, 0, -4}, + { 0, 0, 0, 0, 0, 0, -5, 10, 0, 0, 0, 0, 2, 0, -5, -2, 0}, + { 0, 0, 0, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0}, + { 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, -9, 3, 1, 4}, + { 0, 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 2, 17, 0, 0, -7}, + { 0, 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 1, 0, -3, -2, -1}, + { 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, -20, 34, 0, 0}, + + /* 291-300 */ + { 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 1, -10, 0, 1, 5}, + { 0, 1,-1, 1, 0, 1, -3, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2}, + { 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 22, -87, 0, 0}, + { 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, -4, 0, 0, 2}, + { 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 2, -3, -6, -2, 1}, + { 0, 0, 0, 0, 0, -7, 11, 0, 0, 0, 0, 0, 2, -16, -3, -1, 7}, + { 0, 0, 0, 0, 0, -7, 11, 0, 0, 0, 0, 0, 1, 0, -3, -2, 0}, + { 0,-2, 2, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, -68, 39, 0, 0}, + { 0, 2,-2, 1, 0, -4, 4, 0, 0, 0, 0, 0, 0, 27, 0, 0, -14}, + + /* 301-310 */ + { 0,-1, 1, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0}, + { 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -25, 0, 0, 0}, + { 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 0, 1, -12, -3, -2, 6}, + { 0, 1,-1, 1, 0, -4, 6, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1}, + { 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 0, 2, 3, 66, 29, -1}, + { 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0, 2, 490, 0, 0,-213}, + { 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0, 1, -22, 93, 49, 12}, + { 0, 1,-1, 1, 0, -4, 5, 0, 0, 0, 0, 0, 0, -7, 28, 15, 4}, + { 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0, 1, -3, 13, 7, 2}, + { 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, 0, -46, 14, 0, 0}, + + /* 311-320 */ + {-2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0}, + { 0,-1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0}, + { 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, -28, 0, 0, 15}, + { 0, 0, 0, 0, 0, 0, -1, 0, 5, 0, 0, 0, 2, 5, 0, 0, -2}, + { 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0, 3, 0, 0}, + { 0, 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 2, -11, 0, 0, 5}, + { 0, 0, 0, 0, 0, 0, -7, 12, 0, 0, 0, 0, 2, 0, 3, 1, 0}, + { 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1}, + { 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 25, 106, 57, -13}, + + /* 321-330 */ + { 0, 1,-1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 5, 21, 11, -3}, + { 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1485, 0, 0, 0}, + { 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, -7, -32, -17, 4}, + { 0, 1,-1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0}, + { 0, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 2, -6, -3, -2, 3}, + { 0, 0, 0, 0, 0, 0, -1, 0, 4, 0, 0, 0, 2, 30, -6, -2, -13}, + { 0, 0, 0, 0, 0, 0, 1, 0,-4, 0, 0, 0, 0, -4, 4, 0, 0}, + { 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -19, 0, 0, 10}, + { 0, 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 2, 0, 4, 2, -1}, + { 0, 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 0, 0, 3, 0, 0}, + + /* 331-340 */ + { 0, 2,-2, 1, 0, 0, -3, 0, 3, 0, 0, 0, 0, 4, 0, 0, -2}, + { 0, 0, 0, 0, 0, 0, -3, 7, 0, 0, 0, 0, 2, 0, -3, -1, 0}, + {-2, 0, 2, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 2, 5, 3, 1, -2}, + { 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, 0, 11, 0, 0}, + { 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, 0, 2, 118, 0, 0, -52}, + { 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, 0, 1, 0, -5, -3, 0}, + { 0, 0, 0, 0, 0, 0, 1, 0,-3, 0, 0, 0, 0, -28, 36, 0, 0}, + { 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 5, -5, 0, 0}, + { 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 1, 14, -59, -31, -8}, + + /* 341-350 */ + { 0, 1,-1, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0, 0, 9, 5, 1}, + { 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 2, -458, 0, 0, 198}, + { 0, 0, 0, 0, 0, -6, 9, 0, 0, 0, 0, 0, 2, 0, -45, -20, 0}, + { 0, 0, 0, 0, 0, -6, 9, 0, 0, 0, 0, 0, 1, 9, 0, 0, -5}, + { 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0}, + { 0, 0, 0, 1, 0, 0, 1, 0,-2, 0, 0, 0, 0, 0, -4, -2, -1}, + { 0, 2,-2, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 11, 0, 0, -6}, + { 0, 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 2, 6, 0, 0, -2}, + { 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, -16, 23, 0, 0}, + { 0, 0, 0, 1, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, -4, -2, 0}, + + /* 351-360 */ + { 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 2, -5, 0, 0, 2}, + { 0, 0, 0, 0, 0, 0, 1, 0,-2, 0, 0, 0, 0, -166, 269, 0, 0}, + { 0, 0, 0, 1, 0, 0, 1, 0,-1, 0, 0, 0, 0, 15, 0, 0, -8}, + { 0, 0, 0, 0, 0, -5, 9, 0, 0, 0, 0, 0, 2, 10, 0, 0, -4}, + { 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -78, 45, 0, 0}, + { 0, 0, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0, 2, 0, -5, -2, 0}, + { 0, 0, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0, 1, 7, 0, 0, -4}, + { 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, -5, 328, 0, 0}, + { 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 1, 3, 0, 0, -2}, + { 0, 0, 0, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 5, 0, 0, -2}, + + /* 361-370 */ + { 0, 0, 0, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 3, 1, 0}, + { 0, 0, 0, 0, 0, 0, 1, 0, 0,-3, 0, 0, 0, -3, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 1, 0, 1,-5, 0, 0, 0, -3, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, -4, -2, 0}, + { 0, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0,-1223, -26, 0, 0}, + { 0, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 1, 0, 7, 3, 0}, + { 0, 0, 0, 0, 0, 0, 1, 0,-3, 5, 0, 0, 0, 3, 0, 0, 0}, + { 0, 0, 0, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0}, + { 0, 0, 0, 0, 0, 0, 1, 0, 0,-2, 0, 0, 0, -6, 20, 0, 0}, + { 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -368, 0, 0, 0}, + + /* 371-380 */ + { 0, 0, 0, 0, 0, 0, 1, 0, 0,-1, 0, 0, 0, -75, 0, 0, 0}, + { 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 11, 0, 0, -6}, + { 0, 0, 0, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0, 3, 0, 0, -2}, + { 0, 0, 0, 0, 0, -8, 14, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1}, + { 0, 0, 0, 0, 0, 0, 1, 0, 2,-5, 0, 0, 0, -13, -30, 0, 0}, + { 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 0, 21, 3, 0, 0}, + { 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 2, -3, 0, 0, 1}, + { 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, -4, 0, 0, 2}, + { 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 8, -27, 0, 0}, + { 0, 0, 0, 0, 0, 0, 3, -8, 3, 0, 0, 0, 0, -19, -11, 0, 0}, + + /* 381-390 */ + { 0, 0, 0, 0, 0, 0, -3, 8,-3, 0, 0, 0, 2, -4, 0, 0, 2}, + { 0, 0, 0, 0, 0, 0, 1, 0,-2, 5, 0, 0, 2, 0, 5, 2, 0}, + { 0, 0, 0, 0, 0, -8, 12, 0, 0, 0, 0, 0, 2, -6, 0, 0, 2}, + { 0, 0, 0, 0, 0, -8, 12, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 1, 0, 1,-2, 0, 0, 0, -1, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, -14, 0, 0, 6}, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, -74, 0, 0, 32}, + { 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, -3, -1, 0}, + { 0, 2,-2, 1, 0, -5, 5, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2}, + + /* 391-400 */ + { 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 8, 11, 0, 0}, + { 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 3, 2, 0}, + { 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, -262, 0, 0, 114}, + { 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0}, + { 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 1, -7, 0, 0, 4}, + { 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 2, 0, -27, -12, 0}, + { 0, 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 2, -19, -8, -4, 8}, + { 0, 0, 0, 0, 0, -5, 7, 0, 0, 0, 0, 0, 2, 202, 0, 0, -87}, + { 0, 0, 0, 0, 0, -5, 7, 0, 0, 0, 0, 0, 1, -8, 35, 19, 5}, + { 0, 1,-1, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0}, + + /* 401-410 */ + { 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, 0, 16, -5, 0, 0}, + { 0, 2,-2, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 5, 0, 0, -3}, + { 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, -3, 0, 0}, + { 0, 0, 0, 0,-1, 0, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, -35, -48, -21, 15}, + { 0, 0, 0, 0, 0, 0, -2, 6, 0, 0, 0, 0, 2, -3, -5, -2, 1}, + { 0, 0, 0, 1, 0, 2, -2, 0, 0, 0, 0, 0, 0, 6, 0, 0, -3}, + { 0, 0, 0, 0, 0, 0, -6, 9, 0, 0, 0, 0, 2, 3, 0, 0, -1}, + { 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0, -5, 0, 0}, + { 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 1, 12, 55, 29, -6}, + + /* 411-420 */ + { 0, 1,-1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0}, + { 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -598, 0, 0, 0}, + { 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 1, -3, -13, -7, 1}, + { 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 2, -5, -7, -3, 2}, + { 0, 0, 0, 0, 0, 0, -5, 7, 0, 0, 0, 0, 2, 3, 0, 0, -1}, + { 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, 5, -7, 0, 0}, + { 0, 0, 0, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2}, + { 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 16, -6, 0, 0}, + { 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0, 8, -3, 0, 0}, + { 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 0, 1, 8, -31, -16, -4}, + + /* 421-430 */ + { 0, 1,-1, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0}, + { 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 0, 2, 113, 0, 0, -49}, + { 0, 0, 0, 0, 0, -7, 10, 0, 0, 0, 0, 0, 2, 0, -24, -10, 0}, + { 0, 0, 0, 0, 0, -7, 10, 0, 0, 0, 0, 0, 1, 4, 0, 0, -2}, + { 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 27, 0, 0, 0}, + { 0, 0, 0, 0, 0, -4, 8, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1}, + { 0, 0, 0, 0, 0, -4, 5, 0, 0, 0, 0, 0, 2, 0, -4, -2, 0}, + { 0, 0, 0, 0, 0, -4, 5, 0, 0, 0, 0, 0, 1, 5, 0, 0, -2}, + { 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0}, + { 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, -13, 0, 0, 6}, + + /* 431-440 */ + { 0, 0, 0, 0, 0, 0, -2, 0, 5, 0, 0, 0, 2, 5, 0, 0, -2}, + { 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, -18, -10, -4, 8}, + { 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -4, -28, 0, 0}, + { 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, -5, 6, 3, 2}, + { 0, 0, 0, 0, 0, -9, 13, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1}, + { 0, 0, 0, 0, 0, 0, -1, 5, 0, 0, 0, 0, 2, -5, -9, -4, 2}, + { 0, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 2, 17, 0, 0, -7}, + { 0, 0, 0, 0, 0, 0, 2, 0,-4, 0, 0, 0, 0, 11, 4, 0, 0}, + { 0, 0, 0, 0, 0, 0, -2, 7, 0, 0, 0, 0, 2, 0, -6, -2, 0}, + { 0, 0, 0, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, 83, 15, 0, 0}, + + /* 441-450 */ + { 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 0, 1, -4, 0, 0, 2}, + { 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 0, 2, 0,-114, -49, 0}, + { 0, 0, 0, 0, 0, -6, 8, 0, 0, 0, 0, 0, 2, 117, 0, 0, -51}, + { 0, 0, 0, 0, 0, -6, 8, 0, 0, 0, 0, 0, 1, -5, 19, 10, 2}, + { 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0}, + { 0, 0, 0, 1, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 2}, + { 0, 0, 0, 0, 0, 0, -3, 9, 0, 0, 0, 0, 2, 0, -3, -1, 0}, + { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 3, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 2, 0, -6, -2, 0}, + { 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 393, 3, 0, 0}, + + /* 451-460 */ + { 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 1, -4, 21, 11, 2}, + { 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 2, -6, 0, -1, 3}, + { 0, 0, 0, 0, 0, -5, 10, 0, 0, 0, 0, 0, 2, -3, 8, 4, 1}, + { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 8, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 2, 18, -29, -13, -8}, + { 0, 0, 0, 0, 0, -3, 3, 0, 0, 0, 0, 0, 1, 8, 34, 18, -4}, + { 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 89, 0, 0, 0}, + { 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 1, 3, 12, 6, -1}, + { 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 2, 54, -15, -7, -24}, + { 0, 0, 0, 0, 0, 0, 2, 0, 0,-3, 0, 0, 0, 0, 3, 0, 0}, + + /* 461-470 */ + { 0, 0, 0, 0, 0, 0, -5, 13, 0, 0, 0, 0, 2, 3, 0, 0, -1}, + { 0, 0, 0, 0, 0, 0, 2, 0,-1, 0, 0, 0, 0, 0, 35, 0, 0}, + { 0, 0, 0, 0, 0, 0, 2, 0,-1, 0, 0, 0, 2, -154, -30, -13, 67}, + { 0, 0, 0, 0, 0, 0, 2, 0, 0,-2, 0, 0, 0, 15, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 2, 0, 0,-2, 0, 0, 1, 0, 4, 2, 0}, + { 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 0, 9, 0, 0}, + { 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 2, 80, -71, -31, -35}, + { 0, 0, 0, 0, 0, 0, 2, 0, 0,-1, 0, 0, 2, 0, -20, -9, 0}, + { 0, 0, 0, 0, 0, 0, -6, 15, 0, 0, 0, 0, 2, 11, 5, 2, -5}, + { 0, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 0, 2, 61, -96, -42, -27}, + + /* 471-480 */ + { 0, 0, 0, 0, 0, -3, 9, -4, 0, 0, 0, 0, 2, 14, 9, 4, -6}, + { 0, 0, 0, 0, 0, 0, 2, 0, 2,-5, 0, 0, 2, -11, -6, -3, 5}, + { 0, 0, 0, 0, 0, 0, -2, 8,-1,-5, 0, 0, 2, 0, -3, -1, 0}, + { 0, 0, 0, 0, 0, 0, 6, -8, 3, 0, 0, 0, 2, 123,-415, -180, -53}, + { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -35}, + { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 7, -32, -17, -4}, + { 0, 1,-1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -9, -5, 0}, + { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, -4, 2, 0}, + { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -89, 0, 0, 38}, + + /* 481-490 */ + { 0, 0, 0, 0, 0, 0, -6, 16,-4,-5, 0, 0, 2, 0, -86, -19, -6}, + { 0, 0, 0, 0, 0, 0, -2, 8,-3, 0, 0, 0, 2, 0, 0, -19, 6}, + { 0, 0, 0, 0, 0, 0, -2, 8,-3, 0, 0, 0, 2, -123,-416, -180, 53}, + { 0, 0, 0, 0, 0, 0, 6, -8, 1, 5, 0, 0, 2, 0, -3, -1, 0}, + { 0, 0, 0, 0, 0, 0, 2, 0,-2, 5, 0, 0, 2, 12, -6, -3, -5}, + { 0, 0, 0, 0, 0, 3, -5, 4, 0, 0, 0, 0, 2, -13, 9, 4, 6}, + { 0, 0, 0, 0, 0, -8, 11, 0, 0, 0, 0, 0, 2, 0, -15, -7, 0}, + { 0, 0, 0, 0, 0, -8, 11, 0, 0, 0, 0, 0, 1, 3, 0, 0, -1}, + { 0, 0, 0, 0, 0, -8, 11, 0, 0, 0, 0, 0, 2, -62, -97, -42, 27}, + { 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 2, -11, 5, 2, 5}, + + /* 491-500 */ + { 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, -19, -8, 0}, + { 0, 0, 0, 0, 0, 3, -3, 0, 2, 0, 0, 0, 2, -3, 0, 0, 1}, + { 0, 2,-2, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, 4, 2, 0}, + { 0, 1,-1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0}, + { 0, 2,-2, 1, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, 4, 2, 0}, + { 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, -85, -70, -31, 37}, + { 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 163, -12, -5, -72}, + { 0, 0, 0, 0, 0, -3, 7, 0, 0, 0, 0, 0, 2, -63, -16, -7, 28}, + { 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, -21, -32, -14, 9}, + { 0, 0, 0, 0, 0, -5, 6, 0, 0, 0, 0, 0, 2, 0, -3, -1, 0}, + + /* 501-510 */ + { 0, 0, 0, 0, 0, -5, 6, 0, 0, 0, 0, 0, 1, 3, 0, 0, -2}, + { 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0}, + { 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 2, 3, 10, 4, -1}, + { 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 3, 0, 0, -1}, + { 0, 0, 0, 0, 0, 0, -1, 6, 0, 0, 0, 0, 2, 0, -7, -3, 0}, + { 0, 0, 0, 0, 0, 0, 7, -9, 0, 0, 0, 0, 2, 0, -4, -2, 0}, + { 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 6, 19, 0, 0}, + { 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 2, 5,-173, -75, -2}, + { 0, 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 2, 0, -7, -3, 0}, + { 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 2, 7, -12, -5, -3}, + + /* 511-520 */ + { 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 1, -3, 0, 0, 2}, + { 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 2, 3, -4, -2, -1}, + { 0, 0, 0, 0, 0, -7, 9, 0, 0, 0, 0, 0, 2, 74, 0, 0, -32}, + { 0, 0, 0, 0, 0, -7, 9, 0, 0, 0, 0, 0, 1, -3, 12, 6, 2}, + { 0, 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 2, 26, -14, -6, -11}, + { 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 2, 19, 0, 0, -8}, + { 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 1, 6, 24, 13, -3}, + { 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 83, 0, 0, 0}, + { 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 1, 0, -10, -5, 0}, + { 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 2, 11, -3, -1, -5}, + + /* 521-530 */ + { 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 3, 0, 1, -1}, + { 0, 0, 0, 0, 0, 0, -3, 0, 5, 0, 0, 0, 2, 3, 0, 0, -1}, + { 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0}, + { 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 5, -23, -12, -3}, + { 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, -339, 0, 0, 147}, + { 0, 0, 0, 0, 0, -9, 12, 0, 0, 0, 0, 0, 2, 0, -10, -5, 0}, + { 0, 0, 0, 0, 0, 0, 3, 0,-4, 0, 0, 0, 0, 5, 0, 0, 0}, + { 0, 2,-2, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1}, + { 0, 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 2, 0, -4, -2, 0}, + { 0, 0, 0, 0, 0, 0, 3, 0,-3, 0, 0, 0, 0, 18, -3, 0, 0}, + + /* 531-540 */ + { 0, 0, 0, 0, 0, 0, 3, 0,-3, 0, 0, 0, 2, 9, -11, -5, -4}, + { 0, 0, 0, 0, 0, -2, 6, 0, 0, 0, 0, 0, 2, -8, 0, 0, 4}, + { 0, 0, 0, 0, 0, -6, 7, 0, 0, 0, 0, 0, 1, 3, 0, 0, -1}, + { 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0}, + { 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 2, 6, -9, -4, -2}, + { 0, 0, 0, 0, 0, 0, 3, 0,-2, 0, 0, 0, 0, -4, -12, 0, 0}, + { 0, 0, 0, 0, 0, 0, 3, 0,-2, 0, 0, 0, 2, 67, -91, -39, -29}, + { 0, 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 2, 30, -18, -8, -13}, + { 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, + { 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 2, 0,-114, -50, 0}, + + /* 541-550 */ + { 0, 0, 0, 0, 0, 0, 3, 0,-1, 0, 0, 0, 2, 0, 0, 0, 23}, + { 0, 0, 0, 0, 0, 0, 3, 0,-1, 0, 0, 0, 2, 517, 16, 7,-224}, + { 0, 0, 0, 0, 0, 0, 3, 0, 0,-2, 0, 0, 2, 0, -7, -3, 0}, + { 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 2, 143, -3, -1, -62}, + { 0, 0, 0, 0, 0, 0, 3, 0, 0,-1, 0, 0, 2, 29, 0, 0, -13}, + { 0, 2,-2, 1, 0, 0, 1, 0,-1, 0, 0, 0, 0, -4, 0, 0, 2}, + { 0, 0, 0, 0, 0, -8, 16, 0, 0, 0, 0, 0, 2, -6, 0, 0, 3}, + { 0, 0, 0, 0, 0, 0, 3, 0, 2,-5, 0, 0, 2, 5, 12, 5, -2}, + { 0, 0, 0, 0, 0, 0, 7, -8, 3, 0, 0, 0, 2, -25, 0, 0, 11}, + { 0, 0, 0, 0, 0, 0, -5, 16,-4,-5, 0, 0, 2, -3, 0, 0, 1}, + + /* 551-560 */ + { 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 4, 2, 0}, + { 0, 0, 0, 0, 0, 0, -1, 8,-3, 0, 0, 0, 2, -22, 12, 5, 10}, + { 0, 0, 0, 0, 0, -8, 10, 0, 0, 0, 0, 0, 2, 50, 0, 0, -22}, + { 0, 0, 0, 0, 0, -8, 10, 0, 0, 0, 0, 0, 1, 0, 7, 4, 0}, + { 0, 0, 0, 0, 0, -8, 10, 0, 0, 0, 0, 0, 2, 0, 3, 1, 0}, + { 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -4, 4, 2, 2}, + { 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 2, -5, -11, -5, 2}, + { 0, 0, 0, 0, 0, -3, 8, 0, 0, 0, 0, 0, 2, 0, 4, 2, 0}, + { 0, 0, 0, 0, 0, -5, 5, 0, 0, 0, 0, 0, 1, 4, 17, 9, -2}, + { 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 0, 59, 0, 0, 0}, + + /* 561-570 */ + { 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 1, 0, -4, -2, 0}, + { 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 2, -8, 0, 0, 4}, + { 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0}, + { 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 4, -15, -8, -2}, + { 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 370, -8, 0,-160}, + { 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 2, 0, 0, -3, 0}, + { 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 2, 0, 3, 1, 0}, + { 0, 0, 0, 0, 0, 0, 6, -5, 0, 0, 0, 0, 2, -6, 3, 1, 3}, + { 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0}, + { 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 2, -10, 0, 0, 4}, + + /* 571-580 */ + { 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 0, 2, 0, 9, 4, 0}, + { 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 4, 17, 7, -2}, + { 0, 0, 0, 0, 0, -9, 11, 0, 0, 0, 0, 0, 2, 34, 0, 0, -15}, + { 0, 0, 0, 0, 0, -9, 11, 0, 0, 0, 0, 0, 1, 0, 5, 3, 0}, + { 0, 0, 0, 0, 0, 0, 4, 0,-4, 0, 0, 0, 2, -5, 0, 0, 2}, + { 0, 0, 0, 0, 0, 0, 4, 0,-3, 0, 0, 0, 2, -37, -7, -3, 16}, + { 0, 0, 0, 0, 0, -6, 6, 0, 0, 0, 0, 0, 1, 3, 13, 7, -2}, + { 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0}, + { 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 1, 0, -3, -2, 0}, + { 0, 0, 0, 0, 0, 0, 4, 0,-2, 0, 0, 0, 2, -184, -3, -1, 80}, + + /* 581-590 */ + { 0, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 2, -3, 0, 0, 1}, + { 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0}, + { 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 1, 0, -10, -6, -1}, + { 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 2, 31, -6, 0, -13}, + { 0, 0, 0, 0, 0, 0, 4, 0,-1, 0, 0, 0, 2, -3, -32, -14, 1}, + { 0, 0, 0, 0, 0, 0, 4, 0, 0,-2, 0, 0, 2, -7, 0, 0, 3}, + { 0, 0, 0, 0, 0, 0, 5, -2, 0, 0, 0, 0, 2, 0, -8, -4, 0}, + { 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 3, -4, 0, 0}, + { 0, 0, 0, 0, 0, 8, -9, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0}, + { 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 0, 2, 0, 3, 1, 0}, + + /* 591-600 */ + { 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 19, -23, -10, 2}, + { 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -10}, + { 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 3, 2, 0}, + { 0, 0, 0, 0, 0, -7, 7, 0, 0, 0, 0, 0, 1, 0, 9, 5, -1}, + { 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0}, + { 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 1, 0, -7, -4, 0}, + { 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 2, 8, -4, 0, -4}, + { 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0}, + { 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0}, + { 0, 0, 0, 0, 0, 0, 5, 0,-4, 0, 0, 0, 2, -3, 0, 0, 1}, + + /* 601-610 */ + { 0, 0, 0, 0, 0, 0, 5, 0,-3, 0, 0, 0, 2, -9, 0, 1, 4}, + { 0, 0, 0, 0, 0, 0, 5, 0,-2, 0, 0, 0, 2, 3, 12, 5, -1}, + { 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 17, -3, -1, 0}, + { 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 1, 0, 7, 4, 0}, + { 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0}, + { 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 1, 0, -5, -3, 0}, + { 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 2, 14, -3, 0, -1}, + { 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0}, + { 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1, 0, 0, 0, -5}, + { 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1, 0, 5, 3, 0}, + + /* 611-620 */ + { 0, 0, 0, 0, 0, 9, -9, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0}, + { 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 0, 1, 0, -3, -2, 0}, + { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 2, 9, 4, 3}, + { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4}, + { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 4, 2, 0}, + { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 6, 0, 0, -3}, + { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0}, + { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 3, 1, 0}, + { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 5, 0, 0, -2}, + + /* 621-630 */ + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, -1}, + { 1, 0,-2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 0}, + { 1, 0,-2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0}, + { 1, 0,-2, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 7, 0, 0, 0}, + { 1, 0,-2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0}, + {-1, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0}, + {-1, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 6, 0, 0, 0}, + {-1, 0, 2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -4, 0, 0}, + { 1, 0,-2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -4, 0, 0}, + {-2, 0, 2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 5, 0, 0, 0}, + + /* 631-640 */ + {-1, 0, 0, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, -3, 0, 0, 0}, + {-1, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 4, 0, 0, 0}, + {-1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0}, + {-1, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0}, + { 1,-1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0}, + {-1, 0, 2, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, 13, 0, 0, 0}, + {-2, 0, 0, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, 21, 11, 0, 0}, + { 1, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -5, 0, 0}, + {-1, 1,-1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -5, -2, 0}, + { 1, 1,-1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0}, + + /* 641-650 */ + {-1, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -5, 0, 0}, + {-1, 0, 2, 1, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 2}, + { 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 20, 10, 0, 0}, + {-1, 0, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -34, 0, 0, 0}, + {-1, 0, 2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, -19, 0, 0, 0}, + { 1, 0,-2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 3, 0, 0, -2}, + { 1, 2,-2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1}, + { 1, 2,-2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -6, 0, 0, 3}, + { 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0}, + { 1, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 3, 0, 0, 0}, + + /* 651-660 */ + { 0, 0,-2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0}, + { 0, 0,-2, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 4, 0, 0, 0}, + { 0, 2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1}, + { 0, 2, 0, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 6, 0, 0, -3}, + { 0, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, -8, 0, 0, 3}, + { 0, 2, 0, 2, 0, -2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0}, + { 0, 0, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 0}, + { 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -3, -2, 0}, + { 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 126, -63, -27, -55}, + {-1, 2, 0, 2, 0, 10, -3, 0, 0, 0, 0, 0, 0, -5, 0, 1, 2}, + + /* 661-670 */ + { 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -3, 28, 15, 2}, + { 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 5, 0, 1, -2}, + { 0, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, 9, 4, 1}, + { 0, 2, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, 9, 4, -1}, + {-1, 2, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, -126, -63, -27, 55}, + { 2, 2,-2, 2, 0, 0, -2, 0, 3, 0, 0, 0, 0, 3, 0, 0, -1}, + { 1, 2, 0, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0, 21, -11, -6, -11}, + { 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0}, + {-1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -21, -11, -6, 11}, + {-2, 2, 2, 2, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 1}, + + /* 671-680 */ + { 0, 2, 0, 2, 0, 2, -3, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0}, + { 0, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, 8, 0, 0, -4}, + { 0, 2, 0, 2, 0, 0, 1, 0,-1, 0, 0, 0, 0, -6, 0, 0, 3}, + { 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1}, + {-1, 2, 2, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 3, 0, 0, -1}, + { 1, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1}, + {-1, 2, 2, 2, 0, 0, 2, 0,-3, 0, 0, 0, 0, -5, 0, 0, 2}, + { 2, 2, 0, 2, 0, 0, 2, 0,-3, 0, 0, 0, 0, 24, -12, -5, -11}, + { 1, 2, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, 3, 1, 0}, + { 1, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, 3, 1, 0}, + + /* 681-687 */ + { 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0}, + { 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, -24, -12, -5, 10}, + { 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, -1, -2}, + {-1, 2, 2, 2, 0, 0, 2, 0,-2, 0, 0, 0, 0, 13, 0, 0, -6}, + {-1, 2, 2, 2, 0, 3, -3, 0, 0, 0, 0, 0, 0, 7, 0, 0, -3}, + { 1, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1}, + { 0, 2, 2, 2, 0, 0, 2, 0,-2, 0, 0, 0, 0, 3, 0, 0, -1} + }; + +/* Number of terms in the planetary nutation model */ + const int NPL = (int) (sizeof xpl / sizeof xpl[0]); + +/*--------------------------------------------------------------------*/ + +/* Interval between fundamental date J2000.0 and given date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* ------------------- */ +/* LUNI-SOLAR NUTATION */ +/* ------------------- */ + +/* Fundamental (Delaunay) arguments */ + +/* Mean anomaly of the Moon (IERS 2003). */ + el = eraFal03(t); + +/* Mean anomaly of the Sun (MHB2000). */ + elp = fmod(1287104.79305 + + t * (129596581.0481 + + t * (-0.5532 + + t * (0.000136 + + t * (-0.00001149)))), ERFA_TURNAS) * ERFA_DAS2R; + +/* Mean longitude of the Moon minus that of the ascending node */ +/* (IERS 2003. */ + f = eraFaf03(t); + +/* Mean elongation of the Moon from the Sun (MHB2000). */ + d = fmod(1072260.70369 + + t * (1602961601.2090 + + t * (-6.3706 + + t * (0.006593 + + t * (-0.00003169)))), ERFA_TURNAS) * ERFA_DAS2R; + +/* Mean longitude of the ascending node of the Moon (IERS 2003). */ + om = eraFaom03(t); + +/* Initialize the nutation values. */ + dp = 0.0; + de = 0.0; + +/* Summation of luni-solar nutation series (in reverse order). */ + for (i = NLS-1; i >= 0; i--) { + + /* Argument and functions. */ + arg = fmod((double)xls[i].nl * el + + (double)xls[i].nlp * elp + + (double)xls[i].nf * f + + (double)xls[i].nd * d + + (double)xls[i].nom * om, ERFA_D2PI); + sarg = sin(arg); + carg = cos(arg); + + /* Term. */ + dp += (xls[i].sp + xls[i].spt * t) * sarg + xls[i].cp * carg; + de += (xls[i].ce + xls[i].cet * t) * carg + xls[i].se * sarg; + } + +/* Convert from 0.1 microarcsec units to radians. */ + dpsils = dp * U2R; + depsls = de * U2R; + +/* ------------------ */ +/* PLANETARY NUTATION */ +/* ------------------ */ + +/* n.b. The MHB2000 code computes the luni-solar and planetary nutation */ +/* in different functions, using slightly different Delaunay */ +/* arguments in the two cases. This behaviour is faithfully */ +/* reproduced here. Use of the IERS 2003 expressions for both */ +/* cases leads to negligible changes, well below */ +/* 0.1 microarcsecond. */ + +/* Mean anomaly of the Moon (MHB2000). */ + al = fmod(2.35555598 + 8328.6914269554 * t, ERFA_D2PI); + +/* Mean longitude of the Moon minus that of the ascending node */ +/*(MHB2000). */ + af = fmod(1.627905234 + 8433.466158131 * t, ERFA_D2PI); + +/* Mean elongation of the Moon from the Sun (MHB2000). */ + ad = fmod(5.198466741 + 7771.3771468121 * t, ERFA_D2PI); + +/* Mean longitude of the ascending node of the Moon (MHB2000). */ + aom = fmod(2.18243920 - 33.757045 * t, ERFA_D2PI); + +/* General accumulated precession in longitude (IERS 2003). */ + apa = eraFapa03(t); + +/* Planetary longitudes, Mercury through Uranus (IERS 2003). */ + alme = eraFame03(t); + alve = eraFave03(t); + alea = eraFae03(t); + alma = eraFama03(t); + alju = eraFaju03(t); + alsa = eraFasa03(t); + alur = eraFaur03(t); + +/* Neptune longitude (MHB2000). */ + alne = fmod(5.321159000 + 3.8127774000 * t, ERFA_D2PI); + +/* Initialize the nutation values. */ + dp = 0.0; + de = 0.0; + +/* Summation of planetary nutation series (in reverse order). */ + for (i = NPL-1; i >= 0; i--) { + + /* Argument and functions. */ + arg = fmod((double)xpl[i].nl * al + + (double)xpl[i].nf * af + + (double)xpl[i].nd * ad + + (double)xpl[i].nom * aom + + (double)xpl[i].nme * alme + + (double)xpl[i].nve * alve + + (double)xpl[i].nea * alea + + (double)xpl[i].nma * alma + + (double)xpl[i].nju * alju + + (double)xpl[i].nsa * alsa + + (double)xpl[i].nur * alur + + (double)xpl[i].nne * alne + + (double)xpl[i].npa * apa, ERFA_D2PI); + sarg = sin(arg); + carg = cos(arg); + + /* Term. */ + dp += (double)xpl[i].sp * sarg + (double)xpl[i].cp * carg; + de += (double)xpl[i].se * sarg + (double)xpl[i].ce * carg; + + } + +/* Convert from 0.1 microarcsec units to radians. */ + dpsipl = dp * U2R; + depspl = de * U2R; + +/* ------- */ +/* RESULTS */ +/* ------- */ + +/* Add luni-solar and planetary components. */ + *dpsi = dpsils + dpsipl; + *deps = depsls + depspl; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/nut00b.c b/ast/erfa/nut00b.c new file mode 100644 index 0000000..ec82bad --- /dev/null +++ b/ast/erfa/nut00b.c @@ -0,0 +1,381 @@ +#include "erfa.h" + +void eraNut00b(double date1, double date2, double *dpsi, double *deps) +/* +** - - - - - - - - - - +** e r a N u t 0 0 b +** - - - - - - - - - - +** +** Nutation, IAU 2000B model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** dpsi,deps double nutation, luni-solar + planetary (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The nutation components in longitude and obliquity are in radians +** and with respect to the equinox and ecliptic of date. The +** obliquity at J2000.0 is assumed to be the Lieske et al. (1977) +** value of 84381.448 arcsec. (The errors that result from using +** this function with the IAU 2006 value of 84381.406 arcsec can be +** neglected.) +** +** The nutation model consists only of luni-solar terms, but +** includes also a fixed offset which compensates for certain long- +** period planetary terms (Note 7). +** +** 3) This function is an implementation of the IAU 2000B abridged +** nutation model formally adopted by the IAU General Assembly in +** 2000. The function computes the MHB_2000_SHORT luni-solar +** nutation series (Luzum 2001), but without the associated +** corrections for the precession rate adjustments and the offset +** between the GCRS and J2000.0 mean poles. +** +** 4) The full IAU 2000A (MHB2000) nutation model contains nearly 1400 +** terms. The IAU 2000B model (McCarthy & Luzum 2003) contains only +** 77 terms, plus additional simplifications, yet still delivers +** results of 1 mas accuracy at present epochs. This combination of +** accuracy and size makes the IAU 2000B abridged nutation model +** suitable for most practical applications. +** +** The function delivers a pole accurate to 1 mas from 1900 to 2100 +** (usually better than 1 mas, very occasionally just outside +** 1 mas). The full IAU 2000A model, which is implemented in the +** function eraNut00a (q.v.), delivers considerably greater accuracy +** at current dates; however, to realize this improved accuracy, +** corrections for the essentially unpredictable free-core-nutation +** (FCN) must also be included. +** +** 5) The present function provides classical nutation. The +** MHB_2000_SHORT algorithm, from which it is adapted, deals also +** with (i) the offsets between the GCRS and mean poles and (ii) the +** adjustments in longitude and obliquity due to the changed +** precession rates. These additional functions, namely frame bias +** and precession adjustments, are supported by the ERFA functions +** eraBi00 and eraPr00. +** +** 6) The MHB_2000_SHORT algorithm also provides "total" nutations, +** comprising the arithmetic sum of the frame bias, precession +** adjustments, and nutation (luni-solar + planetary). These total +** nutations can be used in combination with an existing IAU 1976 +** precession implementation, such as eraPmat76, to deliver GCRS- +** to-true predictions of mas accuracy at current epochs. However, +** for symmetry with the eraNut00a function (q.v. for the reasons), +** the ERFA functions do not generate the "total nutations" +** directly. Should they be required, they could of course easily +** be generated by calling eraBi00, eraPr00 and the present function +** and adding the results. +** +** 7) The IAU 2000B model includes "planetary bias" terms that are +** fixed in size but compensate for long-period nutations. The +** amplitudes quoted in McCarthy & Luzum (2003), namely +** Dpsi = -1.5835 mas and Depsilon = +1.6339 mas, are optimized for +** the "total nutations" method described in Note 6. The Luzum +** (2001) values used in this ERFA implementation, namely -0.135 mas +** and +0.388 mas, are optimized for the "rigorous" method, where +** frame bias, precession and nutation are applied separately and in +** that order. During the interval 1995-2050, the ERFA +** implementation delivers a maximum error of 1.001 mas (not +** including FCN). +** +** References: +** +** Lieske, J.H., Lederle, T., Fricke, W., Morando, B., "Expressions +** for the precession quantities based upon the IAU /1976/ system of +** astronomical constants", Astron.Astrophys. 58, 1-2, 1-16. (1977) +** +** Luzum, B., private communication, 2001 (Fortran code +** MHB_2000_SHORT) +** +** McCarthy, D.D. & Luzum, B.J., "An abridged model of the +** precession-nutation of the celestial pole", Cel.Mech.Dyn.Astron. +** 85, 37-49 (2003) +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J., Astron.Astrophys. 282, 663-683 (1994) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t, el, elp, f, d, om, arg, dp, de, sarg, carg, + dpsils, depsls, dpsipl, depspl; + int i; + +/* Units of 0.1 microarcsecond to radians */ + static const double U2R = ERFA_DAS2R / 1e7; + +/* ---------------------------------------- */ +/* Fixed offsets in lieu of planetary terms */ +/* ---------------------------------------- */ + + static const double DPPLAN = -0.135 * ERFA_DMAS2R; + static const double DEPLAN = 0.388 * ERFA_DMAS2R; + +/* --------------------------------------------------- */ +/* Luni-solar nutation: argument and term coefficients */ +/* --------------------------------------------------- */ + +/* The units for the sine and cosine coefficients are */ +/* 0.1 microarcsec and the same per Julian century */ + + static const struct { + int nl,nlp,nf,nd,nom; /* coefficients of l,l',F,D,Om */ + double ps,pst,pc; /* longitude sin, t*sin, cos coefficients */ + double ec,ect,es; /* obliquity cos, t*cos, sin coefficients */ + + } x[] = { + + /* 1-10 */ + { 0, 0, 0, 0,1, + -172064161.0, -174666.0, 33386.0, 92052331.0, 9086.0, 15377.0}, + { 0, 0, 2,-2,2, + -13170906.0, -1675.0, -13696.0, 5730336.0, -3015.0, -4587.0}, + { 0, 0, 2, 0,2,-2276413.0,-234.0, 2796.0, 978459.0,-485.0,1374.0}, + { 0, 0, 0, 0,2,2074554.0, 207.0, -698.0,-897492.0, 470.0,-291.0}, + { 0, 1, 0, 0,0,1475877.0,-3633.0,11817.0, 73871.0,-184.0,-1924.0}, + { 0, 1, 2,-2,2,-516821.0, 1226.0, -524.0, 224386.0,-677.0,-174.0}, + { 1, 0, 0, 0,0, 711159.0, 73.0, -872.0, -6750.0, 0.0, 358.0}, + { 0, 0, 2, 0,1,-387298.0, -367.0, 380.0, 200728.0, 18.0, 318.0}, + { 1, 0, 2, 0,2,-301461.0, -36.0, 816.0, 129025.0, -63.0, 367.0}, + { 0,-1, 2,-2,2, 215829.0, -494.0, 111.0, -95929.0, 299.0, 132.0}, + + /* 11-20 */ + { 0, 0, 2,-2,1, 128227.0, 137.0, 181.0, -68982.0, -9.0, 39.0}, + {-1, 0, 2, 0,2, 123457.0, 11.0, 19.0, -53311.0, 32.0, -4.0}, + {-1, 0, 0, 2,0, 156994.0, 10.0, -168.0, -1235.0, 0.0, 82.0}, + { 1, 0, 0, 0,1, 63110.0, 63.0, 27.0, -33228.0, 0.0, -9.0}, + {-1, 0, 0, 0,1, -57976.0, -63.0, -189.0, 31429.0, 0.0, -75.0}, + {-1, 0, 2, 2,2, -59641.0, -11.0, 149.0, 25543.0, -11.0, 66.0}, + { 1, 0, 2, 0,1, -51613.0, -42.0, 129.0, 26366.0, 0.0, 78.0}, + {-2, 0, 2, 0,1, 45893.0, 50.0, 31.0, -24236.0, -10.0, 20.0}, + { 0, 0, 0, 2,0, 63384.0, 11.0, -150.0, -1220.0, 0.0, 29.0}, + { 0, 0, 2, 2,2, -38571.0, -1.0, 158.0, 16452.0, -11.0, 68.0}, + + /* 21-30 */ + { 0,-2, 2,-2,2, 32481.0, 0.0, 0.0, -13870.0, 0.0, 0.0}, + {-2, 0, 0, 2,0, -47722.0, 0.0, -18.0, 477.0, 0.0, -25.0}, + { 2, 0, 2, 0,2, -31046.0, -1.0, 131.0, 13238.0, -11.0, 59.0}, + { 1, 0, 2,-2,2, 28593.0, 0.0, -1.0, -12338.0, 10.0, -3.0}, + {-1, 0, 2, 0,1, 20441.0, 21.0, 10.0, -10758.0, 0.0, -3.0}, + { 2, 0, 0, 0,0, 29243.0, 0.0, -74.0, -609.0, 0.0, 13.0}, + { 0, 0, 2, 0,0, 25887.0, 0.0, -66.0, -550.0, 0.0, 11.0}, + { 0, 1, 0, 0,1, -14053.0, -25.0, 79.0, 8551.0, -2.0, -45.0}, + {-1, 0, 0, 2,1, 15164.0, 10.0, 11.0, -8001.0, 0.0, -1.0}, + { 0, 2, 2,-2,2, -15794.0, 72.0, -16.0, 6850.0, -42.0, -5.0}, + + /* 31-40 */ + { 0, 0,-2, 2,0, 21783.0, 0.0, 13.0, -167.0, 0.0, 13.0}, + { 1, 0, 0,-2,1, -12873.0, -10.0, -37.0, 6953.0, 0.0, -14.0}, + { 0,-1, 0, 0,1, -12654.0, 11.0, 63.0, 6415.0, 0.0, 26.0}, + {-1, 0, 2, 2,1, -10204.0, 0.0, 25.0, 5222.0, 0.0, 15.0}, + { 0, 2, 0, 0,0, 16707.0, -85.0, -10.0, 168.0, -1.0, 10.0}, + { 1, 0, 2, 2,2, -7691.0, 0.0, 44.0, 3268.0, 0.0, 19.0}, + {-2, 0, 2, 0,0, -11024.0, 0.0, -14.0, 104.0, 0.0, 2.0}, + { 0, 1, 2, 0,2, 7566.0, -21.0, -11.0, -3250.0, 0.0, -5.0}, + { 0, 0, 2, 2,1, -6637.0, -11.0, 25.0, 3353.0, 0.0, 14.0}, + { 0,-1, 2, 0,2, -7141.0, 21.0, 8.0, 3070.0, 0.0, 4.0}, + + /* 41-50 */ + { 0, 0, 0, 2,1, -6302.0, -11.0, 2.0, 3272.0, 0.0, 4.0}, + { 1, 0, 2,-2,1, 5800.0, 10.0, 2.0, -3045.0, 0.0, -1.0}, + { 2, 0, 2,-2,2, 6443.0, 0.0, -7.0, -2768.0, 0.0, -4.0}, + {-2, 0, 0, 2,1, -5774.0, -11.0, -15.0, 3041.0, 0.0, -5.0}, + { 2, 0, 2, 0,1, -5350.0, 0.0, 21.0, 2695.0, 0.0, 12.0}, + { 0,-1, 2,-2,1, -4752.0, -11.0, -3.0, 2719.0, 0.0, -3.0}, + { 0, 0, 0,-2,1, -4940.0, -11.0, -21.0, 2720.0, 0.0, -9.0}, + {-1,-1, 0, 2,0, 7350.0, 0.0, -8.0, -51.0, 0.0, 4.0}, + { 2, 0, 0,-2,1, 4065.0, 0.0, 6.0, -2206.0, 0.0, 1.0}, + { 1, 0, 0, 2,0, 6579.0, 0.0, -24.0, -199.0, 0.0, 2.0}, + + /* 51-60 */ + { 0, 1, 2,-2,1, 3579.0, 0.0, 5.0, -1900.0, 0.0, 1.0}, + { 1,-1, 0, 0,0, 4725.0, 0.0, -6.0, -41.0, 0.0, 3.0}, + {-2, 0, 2, 0,2, -3075.0, 0.0, -2.0, 1313.0, 0.0, -1.0}, + { 3, 0, 2, 0,2, -2904.0, 0.0, 15.0, 1233.0, 0.0, 7.0}, + { 0,-1, 0, 2,0, 4348.0, 0.0, -10.0, -81.0, 0.0, 2.0}, + { 1,-1, 2, 0,2, -2878.0, 0.0, 8.0, 1232.0, 0.0, 4.0}, + { 0, 0, 0, 1,0, -4230.0, 0.0, 5.0, -20.0, 0.0, -2.0}, + {-1,-1, 2, 2,2, -2819.0, 0.0, 7.0, 1207.0, 0.0, 3.0}, + {-1, 0, 2, 0,0, -4056.0, 0.0, 5.0, 40.0, 0.0, -2.0}, + { 0,-1, 2, 2,2, -2647.0, 0.0, 11.0, 1129.0, 0.0, 5.0}, + + /* 61-70 */ + {-2, 0, 0, 0,1, -2294.0, 0.0, -10.0, 1266.0, 0.0, -4.0}, + { 1, 1, 2, 0,2, 2481.0, 0.0, -7.0, -1062.0, 0.0, -3.0}, + { 2, 0, 0, 0,1, 2179.0, 0.0, -2.0, -1129.0, 0.0, -2.0}, + {-1, 1, 0, 1,0, 3276.0, 0.0, 1.0, -9.0, 0.0, 0.0}, + { 1, 1, 0, 0,0, -3389.0, 0.0, 5.0, 35.0, 0.0, -2.0}, + { 1, 0, 2, 0,0, 3339.0, 0.0, -13.0, -107.0, 0.0, 1.0}, + {-1, 0, 2,-2,1, -1987.0, 0.0, -6.0, 1073.0, 0.0, -2.0}, + { 1, 0, 0, 0,2, -1981.0, 0.0, 0.0, 854.0, 0.0, 0.0}, + {-1, 0, 0, 1,0, 4026.0, 0.0, -353.0, -553.0, 0.0,-139.0}, + { 0, 0, 2, 1,2, 1660.0, 0.0, -5.0, -710.0, 0.0, -2.0}, + + /* 71-77 */ + {-1, 0, 2, 4,2, -1521.0, 0.0, 9.0, 647.0, 0.0, 4.0}, + {-1, 1, 0, 1,1, 1314.0, 0.0, 0.0, -700.0, 0.0, 0.0}, + { 0,-2, 2,-2,1, -1283.0, 0.0, 0.0, 672.0, 0.0, 0.0}, + { 1, 0, 2, 2,1, -1331.0, 0.0, 8.0, 663.0, 0.0, 4.0}, + {-2, 0, 2, 2,2, 1383.0, 0.0, -2.0, -594.0, 0.0, -2.0}, + {-1, 0, 0, 0,2, 1405.0, 0.0, 4.0, -610.0, 0.0, 2.0}, + { 1, 1, 2,-2,2, 1290.0, 0.0, 0.0, -556.0, 0.0, 0.0} + }; + +/* Number of terms in the series */ + const int NLS = (int) (sizeof x / sizeof x[0]); + +/*--------------------------------------------------------------------*/ + +/* Interval between fundamental epoch J2000.0 and given date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* --------------------*/ +/* LUNI-SOLAR NUTATION */ +/* --------------------*/ + +/* Fundamental (Delaunay) arguments from Simon et al. (1994) */ + +/* Mean anomaly of the Moon. */ + el = fmod(485868.249036 + (1717915923.2178) * t, ERFA_TURNAS) * ERFA_DAS2R; + +/* Mean anomaly of the Sun. */ + elp = fmod(1287104.79305 + (129596581.0481) * t, ERFA_TURNAS) * ERFA_DAS2R; + +/* Mean argument of the latitude of the Moon. */ + f = fmod(335779.526232 + (1739527262.8478) * t, ERFA_TURNAS) * ERFA_DAS2R; + +/* Mean elongation of the Moon from the Sun. */ + d = fmod(1072260.70369 + (1602961601.2090) * t, ERFA_TURNAS) * ERFA_DAS2R; + +/* Mean longitude of the ascending node of the Moon. */ + om = fmod(450160.398036 + (-6962890.5431) * t, ERFA_TURNAS) * ERFA_DAS2R; + +/* Initialize the nutation values. */ + dp = 0.0; + de = 0.0; + +/* Summation of luni-solar nutation series (smallest terms first). */ + for (i = NLS-1; i >= 0; i--) { + + /* Argument and functions. */ + arg = fmod( (double)x[i].nl * el + + (double)x[i].nlp * elp + + (double)x[i].nf * f + + (double)x[i].nd * d + + (double)x[i].nom * om, ERFA_D2PI ); + sarg = sin(arg); + carg = cos(arg); + + /* Term. */ + dp += (x[i].ps + x[i].pst * t) * sarg + x[i].pc * carg; + de += (x[i].ec + x[i].ect * t) * carg + x[i].es * sarg; + } + +/* Convert from 0.1 microarcsec units to radians. */ + dpsils = dp * U2R; + depsls = de * U2R; + +/* ------------------------------*/ +/* IN LIEU OF PLANETARY NUTATION */ +/* ------------------------------*/ + +/* Fixed offset to correct for missing terms in truncated series. */ + dpsipl = DPPLAN; + depspl = DEPLAN; + +/* --------*/ +/* RESULTS */ +/* --------*/ + +/* Add luni-solar and planetary components. */ + *dpsi = dpsils + dpsipl; + *deps = depsls + depspl; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/nut06a.c b/ast/erfa/nut06a.c new file mode 100644 index 0000000..8936277 --- /dev/null +++ b/ast/erfa/nut06a.c @@ -0,0 +1,162 @@ +#include "erfa.h" + +void eraNut06a(double date1, double date2, double *dpsi, double *deps) +/* +** - - - - - - - - - - +** e r a N u t 0 6 a +** - - - - - - - - - - +** +** IAU 2000A nutation with adjustments to match the IAU 2006 +** precession. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** dpsi,deps double nutation, luni-solar + planetary (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The nutation components in longitude and obliquity are in radians +** and with respect to the mean equinox and ecliptic of date, +** IAU 2006 precession model (Hilton et al. 2006, Capitaine et al. +** 2005). +** +** 3) The function first computes the IAU 2000A nutation, then applies +** adjustments for (i) the consequences of the change in obliquity +** from the IAU 1980 ecliptic to the IAU 2006 ecliptic and (ii) the +** secular variation in the Earth's dynamical form factor J2. +** +** 4) The present function provides classical nutation, complementing +** the IAU 2000 frame bias and IAU 2006 precession. It delivers a +** pole which is at current epochs accurate to a few tens of +** microarcseconds, apart from the free core nutation. +** +** Called: +** eraNut00a nutation, IAU 2000A +** +** References: +** +** Chapront, J., Chapront-Touze, M. & Francou, G. 2002, +** Astron.Astrophys. 387, 700 +** +** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977, +** Astron.Astrophys. 58, 1-16 +** +** Mathews, P.M., Herring, T.A., Buffet, B.A. 2002, J.Geophys.Res. +** 107, B4. The MHB_2000 code itself was obtained on 9th September +** 2002 from ftp//maia.usno.navy.mil/conv2000/chapter5/IAU2000A. +** +** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 +** +** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, +** Astron.Astrophys.Supp.Ser. 135, 111 +** +** Wallace, P.T., "Software for Implementing the IAU 2000 +** Resolutions", in IERS Workshop 5.1 (2002) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t, fj2, dp, de; + + +/* Interval between fundamental date J2000.0 and given date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* Factor correcting for secular variation of J2. */ + fj2 = -2.7774e-6 * t; + +/* Obtain IAU 2000A nutation. */ + eraNut00a(date1, date2, &dp, &de); + +/* Apply P03 adjustments (Wallace & Capitaine, 2006, Eqs.5). */ + *dpsi = dp + dp * (0.4697e-6 + fj2); + *deps = de + de * fj2; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/nut80.c b/ast/erfa/nut80.c new file mode 100644 index 0000000..c0da4ef --- /dev/null +++ b/ast/erfa/nut80.c @@ -0,0 +1,334 @@ +#include "erfa.h" + +void eraNut80(double date1, double date2, double *dpsi, double *deps) +/* +** - - - - - - - - - +** e r a N u t 8 0 +** - - - - - - - - - +** +** Nutation, IAU 1980 model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** dpsi double nutation in longitude (radians) +** deps double nutation in obliquity (radians) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The nutation components are with respect to the ecliptic of +** date. +** +** Called: +** eraAnpm normalize angle into range +/- pi +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992), +** Section 3.222 (p111). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t, el, elp, f, d, om, dp, de, arg, s, c; + int j; + +/* Units of 0.1 milliarcsecond to radians */ + const double U2R = ERFA_DAS2R / 1e4; + +/* ------------------------------------------------ */ +/* Table of multiples of arguments and coefficients */ +/* ------------------------------------------------ */ + +/* The units for the sine and cosine coefficients are 0.1 mas and */ +/* the same per Julian century */ + + static const struct { + int nl,nlp,nf,nd,nom; /* coefficients of l,l',F,D,Om */ + double sp,spt; /* longitude sine, 1 and t coefficients */ + double ce,cet; /* obliquity cosine, 1 and t coefficients */ + } x[] = { + + /* 1-10 */ + { 0, 0, 0, 0, 1, -171996.0, -174.2, 92025.0, 8.9 }, + { 0, 0, 0, 0, 2, 2062.0, 0.2, -895.0, 0.5 }, + { -2, 0, 2, 0, 1, 46.0, 0.0, -24.0, 0.0 }, + { 2, 0, -2, 0, 0, 11.0, 0.0, 0.0, 0.0 }, + { -2, 0, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 }, + { 1, -1, 0, -1, 0, -3.0, 0.0, 0.0, 0.0 }, + { 0, -2, 2, -2, 1, -2.0, 0.0, 1.0, 0.0 }, + { 2, 0, -2, 0, 1, 1.0, 0.0, 0.0, 0.0 }, + { 0, 0, 2, -2, 2, -13187.0, -1.6, 5736.0, -3.1 }, + { 0, 1, 0, 0, 0, 1426.0, -3.4, 54.0, -0.1 }, + + /* 11-20 */ + { 0, 1, 2, -2, 2, -517.0, 1.2, 224.0, -0.6 }, + { 0, -1, 2, -2, 2, 217.0, -0.5, -95.0, 0.3 }, + { 0, 0, 2, -2, 1, 129.0, 0.1, -70.0, 0.0 }, + { 2, 0, 0, -2, 0, 48.0, 0.0, 1.0, 0.0 }, + { 0, 0, 2, -2, 0, -22.0, 0.0, 0.0, 0.0 }, + { 0, 2, 0, 0, 0, 17.0, -0.1, 0.0, 0.0 }, + { 0, 1, 0, 0, 1, -15.0, 0.0, 9.0, 0.0 }, + { 0, 2, 2, -2, 2, -16.0, 0.1, 7.0, 0.0 }, + { 0, -1, 0, 0, 1, -12.0, 0.0, 6.0, 0.0 }, + { -2, 0, 0, 2, 1, -6.0, 0.0, 3.0, 0.0 }, + + /* 21-30 */ + { 0, -1, 2, -2, 1, -5.0, 0.0, 3.0, 0.0 }, + { 2, 0, 0, -2, 1, 4.0, 0.0, -2.0, 0.0 }, + { 0, 1, 2, -2, 1, 4.0, 0.0, -2.0, 0.0 }, + { 1, 0, 0, -1, 0, -4.0, 0.0, 0.0, 0.0 }, + { 2, 1, 0, -2, 0, 1.0, 0.0, 0.0, 0.0 }, + { 0, 0, -2, 2, 1, 1.0, 0.0, 0.0, 0.0 }, + { 0, 1, -2, 2, 0, -1.0, 0.0, 0.0, 0.0 }, + { 0, 1, 0, 0, 2, 1.0, 0.0, 0.0, 0.0 }, + { -1, 0, 0, 1, 1, 1.0, 0.0, 0.0, 0.0 }, + { 0, 1, 2, -2, 0, -1.0, 0.0, 0.0, 0.0 }, + + /* 31-40 */ + { 0, 0, 2, 0, 2, -2274.0, -0.2, 977.0, -0.5 }, + { 1, 0, 0, 0, 0, 712.0, 0.1, -7.0, 0.0 }, + { 0, 0, 2, 0, 1, -386.0, -0.4, 200.0, 0.0 }, + { 1, 0, 2, 0, 2, -301.0, 0.0, 129.0, -0.1 }, + { 1, 0, 0, -2, 0, -158.0, 0.0, -1.0, 0.0 }, + { -1, 0, 2, 0, 2, 123.0, 0.0, -53.0, 0.0 }, + { 0, 0, 0, 2, 0, 63.0, 0.0, -2.0, 0.0 }, + { 1, 0, 0, 0, 1, 63.0, 0.1, -33.0, 0.0 }, + { -1, 0, 0, 0, 1, -58.0, -0.1, 32.0, 0.0 }, + { -1, 0, 2, 2, 2, -59.0, 0.0, 26.0, 0.0 }, + + /* 41-50 */ + { 1, 0, 2, 0, 1, -51.0, 0.0, 27.0, 0.0 }, + { 0, 0, 2, 2, 2, -38.0, 0.0, 16.0, 0.0 }, + { 2, 0, 0, 0, 0, 29.0, 0.0, -1.0, 0.0 }, + { 1, 0, 2, -2, 2, 29.0, 0.0, -12.0, 0.0 }, + { 2, 0, 2, 0, 2, -31.0, 0.0, 13.0, 0.0 }, + { 0, 0, 2, 0, 0, 26.0, 0.0, -1.0, 0.0 }, + { -1, 0, 2, 0, 1, 21.0, 0.0, -10.0, 0.0 }, + { -1, 0, 0, 2, 1, 16.0, 0.0, -8.0, 0.0 }, + { 1, 0, 0, -2, 1, -13.0, 0.0, 7.0, 0.0 }, + { -1, 0, 2, 2, 1, -10.0, 0.0, 5.0, 0.0 }, + + /* 51-60 */ + { 1, 1, 0, -2, 0, -7.0, 0.0, 0.0, 0.0 }, + { 0, 1, 2, 0, 2, 7.0, 0.0, -3.0, 0.0 }, + { 0, -1, 2, 0, 2, -7.0, 0.0, 3.0, 0.0 }, + { 1, 0, 2, 2, 2, -8.0, 0.0, 3.0, 0.0 }, + { 1, 0, 0, 2, 0, 6.0, 0.0, 0.0, 0.0 }, + { 2, 0, 2, -2, 2, 6.0, 0.0, -3.0, 0.0 }, + { 0, 0, 0, 2, 1, -6.0, 0.0, 3.0, 0.0 }, + { 0, 0, 2, 2, 1, -7.0, 0.0, 3.0, 0.0 }, + { 1, 0, 2, -2, 1, 6.0, 0.0, -3.0, 0.0 }, + { 0, 0, 0, -2, 1, -5.0, 0.0, 3.0, 0.0 }, + + /* 61-70 */ + { 1, -1, 0, 0, 0, 5.0, 0.0, 0.0, 0.0 }, + { 2, 0, 2, 0, 1, -5.0, 0.0, 3.0, 0.0 }, + { 0, 1, 0, -2, 0, -4.0, 0.0, 0.0, 0.0 }, + { 1, 0, -2, 0, 0, 4.0, 0.0, 0.0, 0.0 }, + { 0, 0, 0, 1, 0, -4.0, 0.0, 0.0, 0.0 }, + { 1, 1, 0, 0, 0, -3.0, 0.0, 0.0, 0.0 }, + { 1, 0, 2, 0, 0, 3.0, 0.0, 0.0, 0.0 }, + { 1, -1, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 }, + { -1, -1, 2, 2, 2, -3.0, 0.0, 1.0, 0.0 }, + { -2, 0, 0, 0, 1, -2.0, 0.0, 1.0, 0.0 }, + + /* 71-80 */ + { 3, 0, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 }, + { 0, -1, 2, 2, 2, -3.0, 0.0, 1.0, 0.0 }, + { 1, 1, 2, 0, 2, 2.0, 0.0, -1.0, 0.0 }, + { -1, 0, 2, -2, 1, -2.0, 0.0, 1.0, 0.0 }, + { 2, 0, 0, 0, 1, 2.0, 0.0, -1.0, 0.0 }, + { 1, 0, 0, 0, 2, -2.0, 0.0, 1.0, 0.0 }, + { 3, 0, 0, 0, 0, 2.0, 0.0, 0.0, 0.0 }, + { 0, 0, 2, 1, 2, 2.0, 0.0, -1.0, 0.0 }, + { -1, 0, 0, 0, 2, 1.0, 0.0, -1.0, 0.0 }, + { 1, 0, 0, -4, 0, -1.0, 0.0, 0.0, 0.0 }, + + /* 81-90 */ + { -2, 0, 2, 2, 2, 1.0, 0.0, -1.0, 0.0 }, + { -1, 0, 2, 4, 2, -2.0, 0.0, 1.0, 0.0 }, + { 2, 0, 0, -4, 0, -1.0, 0.0, 0.0, 0.0 }, + { 1, 1, 2, -2, 2, 1.0, 0.0, -1.0, 0.0 }, + { 1, 0, 2, 2, 1, -1.0, 0.0, 1.0, 0.0 }, + { -2, 0, 2, 4, 2, -1.0, 0.0, 1.0, 0.0 }, + { -1, 0, 4, 0, 2, 1.0, 0.0, 0.0, 0.0 }, + { 1, -1, 0, -2, 0, 1.0, 0.0, 0.0, 0.0 }, + { 2, 0, 2, -2, 1, 1.0, 0.0, -1.0, 0.0 }, + { 2, 0, 2, 2, 2, -1.0, 0.0, 0.0, 0.0 }, + + /* 91-100 */ + { 1, 0, 0, 2, 1, -1.0, 0.0, 0.0, 0.0 }, + { 0, 0, 4, -2, 2, 1.0, 0.0, 0.0, 0.0 }, + { 3, 0, 2, -2, 2, 1.0, 0.0, 0.0, 0.0 }, + { 1, 0, 2, -2, 0, -1.0, 0.0, 0.0, 0.0 }, + { 0, 1, 2, 0, 1, 1.0, 0.0, 0.0, 0.0 }, + { -1, -1, 0, 2, 1, 1.0, 0.0, 0.0, 0.0 }, + { 0, 0, -2, 0, 1, -1.0, 0.0, 0.0, 0.0 }, + { 0, 0, 2, -1, 2, -1.0, 0.0, 0.0, 0.0 }, + { 0, 1, 0, 2, 0, -1.0, 0.0, 0.0, 0.0 }, + { 1, 0, -2, -2, 0, -1.0, 0.0, 0.0, 0.0 }, + + /* 101-106 */ + { 0, -1, 2, 0, 1, -1.0, 0.0, 0.0, 0.0 }, + { 1, 1, 0, -2, 1, -1.0, 0.0, 0.0, 0.0 }, + { 1, 0, -2, 2, 0, -1.0, 0.0, 0.0, 0.0 }, + { 2, 0, 0, 2, 0, 1.0, 0.0, 0.0, 0.0 }, + { 0, 0, 2, 4, 2, -1.0, 0.0, 0.0, 0.0 }, + { 0, 1, 0, 1, 0, 1.0, 0.0, 0.0, 0.0 } + }; + +/* Number of terms in the series */ + const int NT = (int) (sizeof x / sizeof x[0]); + +/*--------------------------------------------------------------------*/ + +/* Interval between fundamental epoch J2000.0 and given date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* --------------------- */ +/* Fundamental arguments */ +/* --------------------- */ + +/* Mean longitude of Moon minus mean longitude of Moon's perigee. */ + el = eraAnpm( + (485866.733 + (715922.633 + (31.310 + 0.064 * t) * t) * t) + * ERFA_DAS2R + fmod(1325.0 * t, 1.0) * ERFA_D2PI); + +/* Mean longitude of Sun minus mean longitude of Sun's perigee. */ + elp = eraAnpm( + (1287099.804 + (1292581.224 + (-0.577 - 0.012 * t) * t) * t) + * ERFA_DAS2R + fmod(99.0 * t, 1.0) * ERFA_D2PI); + +/* Mean longitude of Moon minus mean longitude of Moon's node. */ + f = eraAnpm( + (335778.877 + (295263.137 + (-13.257 + 0.011 * t) * t) * t) + * ERFA_DAS2R + fmod(1342.0 * t, 1.0) * ERFA_D2PI); + +/* Mean elongation of Moon from Sun. */ + d = eraAnpm( + (1072261.307 + (1105601.328 + (-6.891 + 0.019 * t) * t) * t) + * ERFA_DAS2R + fmod(1236.0 * t, 1.0) * ERFA_D2PI); + +/* Longitude of the mean ascending node of the lunar orbit on the */ +/* ecliptic, measured from the mean equinox of date. */ + om = eraAnpm( + (450160.280 + (-482890.539 + (7.455 + 0.008 * t) * t) * t) + * ERFA_DAS2R + fmod(-5.0 * t, 1.0) * ERFA_D2PI); + +/* --------------- */ +/* Nutation series */ +/* --------------- */ + +/* Initialize nutation components. */ + dp = 0.0; + de = 0.0; + +/* Sum the nutation terms, ending with the biggest. */ + for (j = NT-1; j >= 0; j--) { + + /* Form argument for current term. */ + arg = (double)x[j].nl * el + + (double)x[j].nlp * elp + + (double)x[j].nf * f + + (double)x[j].nd * d + + (double)x[j].nom * om; + + /* Accumulate current nutation term. */ + s = x[j].sp + x[j].spt * t; + c = x[j].ce + x[j].cet * t; + if (s != 0.0) dp += s * sin(arg); + if (c != 0.0) de += c * cos(arg); + } + +/* Convert results from 0.1 mas units to radians. */ + *dpsi = dp * U2R; + *deps = de * U2R; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/nutm80.c b/ast/erfa/nutm80.c new file mode 100644 index 0000000..37612d3 --- /dev/null +++ b/ast/erfa/nutm80.c @@ -0,0 +1,126 @@ +#include "erfa.h" + +void eraNutm80(double date1, double date2, double rmatn[3][3]) +/* +** - - - - - - - - - - +** e r a N u t m 8 0 +** - - - - - - - - - - +** +** Form the matrix of nutation for a given date, IAU 1980 model. +** +** Given: +** date1,date2 double TDB date (Note 1) +** +** Returned: +** rmatn double[3][3] nutation matrix +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix operates in the sense V(true) = rmatn * V(mean), +** where the p-vector V(true) is with respect to the true +** equatorial triad of date and the p-vector V(mean) is with +** respect to the mean equatorial triad of date. +** +** Called: +** eraNut80 nutation, IAU 1980 +** eraObl80 mean obliquity, IAU 1980 +** eraNumat form nutation matrix +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dpsi, deps, epsa; + + +/* Nutation components and mean obliquity. */ + eraNut80(date1, date2, &dpsi, &deps); + epsa = eraObl80(date1, date2); + +/* Build the rotation matrix. */ + eraNumat(epsa, dpsi, deps, rmatn); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/obl06.c b/ast/erfa/obl06.c new file mode 100644 index 0000000..d1dad56 --- /dev/null +++ b/ast/erfa/obl06.c @@ -0,0 +1,127 @@ +#include "erfa.h" + +double eraObl06(double date1, double date2) +/* +** - - - - - - - - - +** e r a O b l 0 6 +** - - - - - - - - - +** +** Mean obliquity of the ecliptic, IAU 2006 precession model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned (function value): +** double obliquity of the ecliptic (radians, Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The result is the angle between the ecliptic and mean equator of +** date date1+date2. +** +** Reference: +** +** Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t, eps0; + + +/* Interval between fundamental date J2000.0 and given date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* Mean obliquity. */ + eps0 = (84381.406 + + (-46.836769 + + ( -0.0001831 + + ( 0.00200340 + + ( -0.000000576 + + ( -0.0000000434) * t) * t) * t) * t) * t) * ERFA_DAS2R; + + return eps0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/obl80.c b/ast/erfa/obl80.c new file mode 100644 index 0000000..c8fbb96 --- /dev/null +++ b/ast/erfa/obl80.c @@ -0,0 +1,127 @@ +#include "erfa.h" + +double eraObl80(double date1, double date2) +/* +** - - - - - - - - - +** e r a O b l 8 0 +** - - - - - - - - - +** +** Mean obliquity of the ecliptic, IAU 1980 model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned (function value): +** double obliquity of the ecliptic (radians, Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The result is the angle between the ecliptic and mean equator of +** date date1+date2. +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992), +** Expression 3.222-1 (p114). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t, eps0; + + +/* Interval between fundamental epoch J2000.0 and given date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* Mean obliquity of date. */ + eps0 = ERFA_DAS2R * (84381.448 + + (-46.8150 + + (-0.00059 + + ( 0.001813) * t) * t) * t); + + return eps0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/p06e.c b/ast/erfa/p06e.c new file mode 100644 index 0000000..d8a3d69 --- /dev/null +++ b/ast/erfa/p06e.c @@ -0,0 +1,330 @@ +#include "erfa.h" + +void eraP06e(double date1, double date2, + double *eps0, double *psia, double *oma, double *bpa, + double *bqa, double *pia, double *bpia, + double *epsa, double *chia, double *za, double *zetaa, + double *thetaa, double *pa, + double *gam, double *phi, double *psi) +/* +** - - - - - - - - +** e r a P 0 6 e +** - - - - - - - - +** +** Precession angles, IAU 2006, equinox based. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned (see Note 2): +** eps0 double epsilon_0 +** psia double psi_A +** oma double omega_A +** bpa double P_A +** bqa double Q_A +** pia double pi_A +** bpia double Pi_A +** epsa double obliquity epsilon_A +** chia double chi_A +** za double z_A +** zetaa double zeta_A +** thetaa double theta_A +** pa double p_A +** gam double F-W angle gamma_J2000 +** phi double F-W angle phi_J2000 +** psi double F-W angle psi_J2000 +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) This function returns the set of equinox based angles for the +** Capitaine et al. "P03" precession theory, adopted by the IAU in +** 2006. The angles are set out in Table 1 of Hilton et al. (2006): +** +** eps0 epsilon_0 obliquity at J2000.0 +** psia psi_A luni-solar precession +** oma omega_A inclination of equator wrt J2000.0 ecliptic +** bpa P_A ecliptic pole x, J2000.0 ecliptic triad +** bqa Q_A ecliptic pole -y, J2000.0 ecliptic triad +** pia pi_A angle between moving and J2000.0 ecliptics +** bpia Pi_A longitude of ascending node of the ecliptic +** epsa epsilon_A obliquity of the ecliptic +** chia chi_A planetary precession +** za z_A equatorial precession: -3rd 323 Euler angle +** zetaa zeta_A equatorial precession: -1st 323 Euler angle +** thetaa theta_A equatorial precession: 2nd 323 Euler angle +** pa p_A general precession +** gam gamma_J2000 J2000.0 RA difference of ecliptic poles +** phi phi_J2000 J2000.0 codeclination of ecliptic pole +** psi psi_J2000 longitude difference of equator poles, J2000.0 +** +** The returned values are all radians. +** +** 3) Hilton et al. (2006) Table 1 also contains angles that depend on +** models distinct from the P03 precession theory itself, namely the +** IAU 2000A frame bias and nutation. The quoted polynomials are +** used in other ERFA functions: +** +** . eraXy06 contains the polynomial parts of the X and Y series. +** +** . eraS06 contains the polynomial part of the s+XY/2 series. +** +** . eraPfw06 implements the series for the Fukushima-Williams +** angles that are with respect to the GCRS pole (i.e. the variants +** that include frame bias). +** +** 4) The IAU resolution stipulated that the choice of parameterization +** was left to the user, and so an IAU compliant precession +** implementation can be constructed using various combinations of +** the angles returned by the present function. +** +** 5) The parameterization used by ERFA is the version of the Fukushima- +** Williams angles that refers directly to the GCRS pole. These +** angles may be calculated by calling the function eraPfw06. ERFA +** also supports the direct computation of the CIP GCRS X,Y by +** series, available by calling eraXy06. +** +** 6) The agreement between the different parameterizations is at the +** 1 microarcsecond level in the present era. +** +** 7) When constructing a precession formulation that refers to the GCRS +** pole rather than the dynamical pole, it may (depending on the +** choice of angles) be necessary to introduce the frame bias +** explicitly. +** +** 8) It is permissible to re-use the same variable in the returned +** arguments. The quantities are stored in the stated order. +** +** Reference: +** +** Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351 +** +** Called: +** eraObl06 mean obliquity, IAU 2006 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t; + + +/* Interval between fundamental date J2000.0 and given date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* Obliquity at J2000.0. */ + + *eps0 = 84381.406 * ERFA_DAS2R; + +/* Luni-solar precession. */ + + *psia = ( 5038.481507 + + ( -1.0790069 + + ( -0.00114045 + + ( 0.000132851 + + ( -0.0000000951 ) + * t) * t) * t) * t) * t * ERFA_DAS2R; + +/* Inclination of mean equator with respect to the J2000.0 ecliptic. */ + + *oma = *eps0 + ( -0.025754 + + ( 0.0512623 + + ( -0.00772503 + + ( -0.000000467 + + ( 0.0000003337 ) + * t) * t) * t) * t) * t * ERFA_DAS2R; + +/* Ecliptic pole x, J2000.0 ecliptic triad. */ + + *bpa = ( 4.199094 + + ( 0.1939873 + + ( -0.00022466 + + ( -0.000000912 + + ( 0.0000000120 ) + * t) * t) * t) * t) * t * ERFA_DAS2R; + +/* Ecliptic pole -y, J2000.0 ecliptic triad. */ + + *bqa = ( -46.811015 + + ( 0.0510283 + + ( 0.00052413 + + ( -0.000000646 + + ( -0.0000000172 ) + * t) * t) * t) * t) * t * ERFA_DAS2R; + +/* Angle between moving and J2000.0 ecliptics. */ + + *pia = ( 46.998973 + + ( -0.0334926 + + ( -0.00012559 + + ( 0.000000113 + + ( -0.0000000022 ) + * t) * t) * t) * t) * t * ERFA_DAS2R; + +/* Longitude of ascending node of the moving ecliptic. */ + + *bpia = ( 629546.7936 + + ( -867.95758 + + ( 0.157992 + + ( -0.0005371 + + ( -0.00004797 + + ( 0.000000072 ) + * t) * t) * t) * t) * t) * ERFA_DAS2R; + +/* Mean obliquity of the ecliptic. */ + + *epsa = eraObl06(date1, date2); + +/* Planetary precession. */ + + *chia = ( 10.556403 + + ( -2.3814292 + + ( -0.00121197 + + ( 0.000170663 + + ( -0.0000000560 ) + * t) * t) * t) * t) * t * ERFA_DAS2R; + +/* Equatorial precession: minus the third of the 323 Euler angles. */ + + *za = ( -2.650545 + + ( 2306.077181 + + ( 1.0927348 + + ( 0.01826837 + + ( -0.000028596 + + ( -0.0000002904 ) + * t) * t) * t) * t) * t) * ERFA_DAS2R; + +/* Equatorial precession: minus the first of the 323 Euler angles. */ + + *zetaa = ( 2.650545 + + ( 2306.083227 + + ( 0.2988499 + + ( 0.01801828 + + ( -0.000005971 + + ( -0.0000003173 ) + * t) * t) * t) * t) * t) * ERFA_DAS2R; + +/* Equatorial precession: second of the 323 Euler angles. */ + + *thetaa = ( 2004.191903 + + ( -0.4294934 + + ( -0.04182264 + + ( -0.000007089 + + ( -0.0000001274 ) + * t) * t) * t) * t) * t * ERFA_DAS2R; + +/* General precession. */ + + *pa = ( 5028.796195 + + ( 1.1054348 + + ( 0.00007964 + + ( -0.000023857 + + ( 0.0000000383 ) + * t) * t) * t) * t) * t * ERFA_DAS2R; + +/* Fukushima-Williams angles for precession. */ + + *gam = ( 10.556403 + + ( 0.4932044 + + ( -0.00031238 + + ( -0.000002788 + + ( 0.0000000260 ) + * t) * t) * t) * t) * t * ERFA_DAS2R; + + *phi = *eps0 + ( -46.811015 + + ( 0.0511269 + + ( 0.00053289 + + ( -0.000000440 + + ( -0.0000000176 ) + * t) * t) * t) * t) * t * ERFA_DAS2R; + + *psi = ( 5038.481507 + + ( 1.5584176 + + ( -0.00018522 + + ( -0.000026452 + + ( -0.0000000148 ) + * t) * t) * t) * t) * t * ERFA_DAS2R; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/p2pv.c b/ast/erfa/p2pv.c new file mode 100644 index 0000000..6ec1388 --- /dev/null +++ b/ast/erfa/p2pv.c @@ -0,0 +1,92 @@ +#include "erfa.h" + +void eraP2pv(double p[3], double pv[2][3]) +/* +** - - - - - - - - +** e r a P 2 p v +** - - - - - - - - +** +** Extend a p-vector to a pv-vector by appending a zero velocity. +** +** Given: +** p double[3] p-vector +** +** Returned: +** pv double[2][3] pv-vector +** +** Called: +** eraCp copy p-vector +** eraZp zero p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraCp(p, pv[0]); + eraZp(pv[1]); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/p2s.c b/ast/erfa/p2s.c new file mode 100644 index 0000000..2821b49 --- /dev/null +++ b/ast/erfa/p2s.c @@ -0,0 +1,100 @@ +#include "erfa.h" + +void eraP2s(double p[3], double *theta, double *phi, double *r) +/* +** - - - - - - - +** e r a P 2 s +** - - - - - - - +** +** P-vector to spherical polar coordinates. +** +** Given: +** p double[3] p-vector +** +** Returned: +** theta double longitude angle (radians) +** phi double latitude angle (radians) +** r double radial distance +** +** Notes: +** +** 1) If P is null, zero theta, phi and r are returned. +** +** 2) At either pole, zero theta is returned. +** +** Called: +** eraC2s p-vector to spherical +** eraPm modulus of p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraC2s(p, theta, phi); + *r = eraPm(p); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pap.c b/ast/erfa/pap.c new file mode 100644 index 0000000..94c17c2 --- /dev/null +++ b/ast/erfa/pap.c @@ -0,0 +1,148 @@ +#include "erfa.h" + +double eraPap(double a[3], double b[3]) +/* +** - - - - - - - +** e r a P a p +** - - - - - - - +** +** Position-angle from two p-vectors. +** +** Given: +** a double[3] direction of reference point +** b double[3] direction of point whose PA is required +** +** Returned (function value): +** double position angle of b with respect to a (radians) +** +** Notes: +** +** 1) The result is the position angle, in radians, of direction b with +** respect to direction a. It is in the range -pi to +pi. The +** sense is such that if b is a small distance "north" of a the +** position angle is approximately zero, and if b is a small +** distance "east" of a the position angle is approximately +pi/2. +** +** 2) The vectors a and b need not be of unit length. +** +** 3) Zero is returned if the two directions are the same or if either +** vector is null. +** +** 4) If vector a is at a pole, the result is ill-defined. +** +** Called: +** eraPn decompose p-vector into modulus and direction +** eraPm modulus of p-vector +** eraPxp vector product of two p-vectors +** eraPmp p-vector minus p-vector +** eraPdp scalar product of two p-vectors +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double am, au[3], bm, st, ct, xa, ya, za, eta[3], xi[3], a2b[3], pa; + + +/* Modulus and direction of the a vector. */ + eraPn(a, &am, au); + +/* Modulus of the b vector. */ + bm = eraPm(b); + +/* Deal with the case of a null vector. */ + if ((am == 0.0) || (bm == 0.0)) { + st = 0.0; + ct = 1.0; + } else { + + /* The "north" axis tangential from a (arbitrary length). */ + xa = a[0]; + ya = a[1]; + za = a[2]; + eta[0] = -xa * za; + eta[1] = -ya * za; + eta[2] = xa*xa + ya*ya; + + /* The "east" axis tangential from a (same length). */ + eraPxp(eta, au, xi); + + /* The vector from a to b. */ + eraPmp(b, a, a2b); + + /* Resolve into components along the north and east axes. */ + st = eraPdp(a2b, xi); + ct = eraPdp(a2b, eta); + + /* Deal with degenerate cases. */ + if ((st == 0.0) && (ct == 0.0)) ct = 1.0; + } + +/* Position angle. */ + pa = atan2(st, ct); + + return pa; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pas.c b/ast/erfa/pas.c new file mode 100644 index 0000000..a71da1b --- /dev/null +++ b/ast/erfa/pas.c @@ -0,0 +1,105 @@ +#include "erfa.h" + +double eraPas(double al, double ap, double bl, double bp) +/* +** - - - - - - - +** e r a P a s +** - - - - - - - +** +** Position-angle from spherical coordinates. +** +** Given: +** al double longitude of point A (e.g. RA) in radians +** ap double latitude of point A (e.g. Dec) in radians +** bl double longitude of point B +** bp double latitude of point B +** +** Returned (function value): +** double position angle of B with respect to A +** +** Notes: +** +** 1) The result is the bearing (position angle), in radians, of point +** B with respect to point A. It is in the range -pi to +pi. The +** sense is such that if B is a small distance "east" of point A, +** the bearing is approximately +pi/2. +** +** 2) Zero is returned if the two points are coincident. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dl, x, y, pa; + + + dl = bl - al; + y = sin(dl) * cos(bp); + x = sin(bp) * cos(ap) - cos(bp) * sin(ap) * cos(dl); + pa = ((x != 0.0) || (y != 0.0)) ? atan2(y, x) : 0.0; + + return pa; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pb06.c b/ast/erfa/pb06.c new file mode 100644 index 0000000..dc8d60d --- /dev/null +++ b/ast/erfa/pb06.c @@ -0,0 +1,153 @@ +#include "erfa.h" + +void eraPb06(double date1, double date2, + double *bzeta, double *bz, double *btheta) +/* +** - - - - - - - - +** e r a P b 0 6 +** - - - - - - - - +** +** This function forms three Euler angles which implement general +** precession from epoch J2000.0, using the IAU 2006 model. Frame +** bias (the offset between ICRS and mean J2000.0) is included. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** bzeta double 1st rotation: radians cw around z +** bz double 3rd rotation: radians cw around z +** btheta double 2nd rotation: radians ccw around y +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The traditional accumulated precession angles zeta_A, z_A, +** theta_A cannot be obtained in the usual way, namely through +** polynomial expressions, because of the frame bias. The latter +** means that two of the angles undergo rapid changes near this +** date. They are instead the results of decomposing the +** precession-bias matrix obtained by using the Fukushima-Williams +** method, which does not suffer from the problem. The +** decomposition returns values which can be used in the +** conventional formulation and which include frame bias. +** +** 3) The three angles are returned in the conventional order, which +** is not the same as the order of the corresponding Euler +** rotations. The precession-bias matrix is +** R_3(-z) x R_2(+theta) x R_3(-zeta). +** +** 4) Should zeta_A, z_A, theta_A angles be required that do not +** contain frame bias, they are available by calling the ERFA +** function eraP06e. +** +** Called: +** eraPmat06 PB matrix, IAU 2006 +** eraRz rotate around Z-axis +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double r[3][3], r31, r32; + + +/* Precession matrix via Fukushima-Williams angles. */ + eraPmat06(date1, date2, r); + +/* Solve for z. */ + *bz = atan2(r[1][2], r[0][2]); + +/* Remove it from the matrix. */ + eraRz(*bz, r); + +/* Solve for the remaining two angles. */ + *bzeta = atan2 (r[1][0], r[1][1]); + r31 = r[2][0]; + r32 = r[2][1]; + *btheta = atan2(-ERFA_DSIGN(sqrt(r31 * r31 + r32 * r32), r[0][2]), + r[2][2]); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pdp.c b/ast/erfa/pdp.c new file mode 100644 index 0000000..2b55422 --- /dev/null +++ b/ast/erfa/pdp.c @@ -0,0 +1,93 @@ +#include "erfa.h" + +double eraPdp(double a[3], double b[3]) +/* +** - - - - - - - +** e r a P d p +** - - - - - - - +** +** p-vector inner (=scalar=dot) product. +** +** Given: +** a double[3] first p-vector +** b double[3] second p-vector +** +** Returned (function value): +** double a . b +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double w; + + + w = a[0] * b[0] + + a[1] * b[1] + + a[2] * b[2]; + + return w; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pfw06.c b/ast/erfa/pfw06.c new file mode 100644 index 0000000..645dd5c --- /dev/null +++ b/ast/erfa/pfw06.c @@ -0,0 +1,174 @@ +#include "erfa.h" + +void eraPfw06(double date1, double date2, + double *gamb, double *phib, double *psib, double *epsa) +/* +** - - - - - - - - - +** e r a P f w 0 6 +** - - - - - - - - - +** +** Precession angles, IAU 2006 (Fukushima-Williams 4-angle formulation). +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** gamb double F-W angle gamma_bar (radians) +** phib double F-W angle phi_bar (radians) +** psib double F-W angle psi_bar (radians) +** epsa double F-W angle epsilon_A (radians) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) Naming the following points: +** +** e = J2000.0 ecliptic pole, +** p = GCRS pole, +** E = mean ecliptic pole of date, +** and P = mean pole of date, +** +** the four Fukushima-Williams angles are as follows: +** +** gamb = gamma_bar = epE +** phib = phi_bar = pE +** psib = psi_bar = pEP +** epsa = epsilon_A = EP +** +** 3) The matrix representing the combined effects of frame bias and +** precession is: +** +** PxB = R_1(-epsa).R_3(-psib).R_1(phib).R_3(gamb) +** +** 4) The matrix representing the combined effects of frame bias, +** precession and nutation is simply: +** +** NxPxB = R_1(-epsa-dE).R_3(-psib-dP).R_1(phib).R_3(gamb) +** +** where dP and dE are the nutation components with respect to the +** ecliptic of date. +** +** Reference: +** +** Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351 +** +** Called: +** eraObl06 mean obliquity, IAU 2006 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t; + + +/* Interval between fundamental date J2000.0 and given date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* P03 bias+precession angles. */ + *gamb = ( -0.052928 + + ( 10.556378 + + ( 0.4932044 + + ( -0.00031238 + + ( -0.000002788 + + ( 0.0000000260 ) + * t) * t) * t) * t) * t) * ERFA_DAS2R; + *phib = ( 84381.412819 + + ( -46.811016 + + ( 0.0511268 + + ( 0.00053289 + + ( -0.000000440 + + ( -0.0000000176 ) + * t) * t) * t) * t) * t) * ERFA_DAS2R; + *psib = ( -0.041775 + + ( 5038.481484 + + ( 1.5584175 + + ( -0.00018522 + + ( -0.000026452 + + ( -0.0000000148 ) + * t) * t) * t) * t) * t) * ERFA_DAS2R; + *epsa = eraObl06(date1, date2); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/plan94.c b/ast/erfa/plan94.c new file mode 100644 index 0000000..7191204 --- /dev/null +++ b/ast/erfa/plan94.c @@ -0,0 +1,523 @@ +#include "erfa.h" + +int eraPlan94(double date1, double date2, int np, double pv[2][3]) +/* +** - - - - - - - - - - +** e r a P l a n 9 4 +** - - - - - - - - - - +** +** Approximate heliocentric position and velocity of a nominated major +** planet: Mercury, Venus, EMB, Mars, Jupiter, Saturn, Uranus or +** Neptune (but not the Earth itself). +** +** Given: +** date1 double TDB date part A (Note 1) +** date2 double TDB date part B (Note 1) +** np int planet (1=Mercury, 2=Venus, 3=EMB, 4=Mars, +** 5=Jupiter, 6=Saturn, 7=Uranus, 8=Neptune) +** +** Returned (argument): +** pv double[2][3] planet p,v (heliocentric, J2000.0, AU,AU/d) +** +** Returned (function value): +** int status: -1 = illegal NP (outside 1-8) +** 0 = OK +** +1 = warning: year outside 1000-3000 +** +2 = warning: failed to converge +** +** Notes: +** +** 1) The date date1+date2 is in the TDB time scale (in practice TT can +** be used) and is a Julian Date, apportioned in any convenient way +** between the two arguments. For example, JD(TDB)=2450123.7 could +** be expressed in any of these ways, among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 method is best matched to the way the +** argument is handled internally and will deliver the optimum +** resolution. The MJD method and the date & time methods are both +** good compromises between resolution and convenience. The limited +** accuracy of the present algorithm is such that any of the methods +** is satisfactory. +** +** 2) If an np value outside the range 1-8 is supplied, an error status +** (function value -1) is returned and the pv vector set to zeroes. +** +** 3) For np=3 the result is for the Earth-Moon Barycenter. To obtain +** the heliocentric position and velocity of the Earth, use instead +** the ERFA function eraEpv00. +** +** 4) On successful return, the array pv contains the following: +** +** pv[0][0] x } +** pv[0][1] y } heliocentric position, AU +** pv[0][2] z } +** +** pv[1][0] xdot } +** pv[1][1] ydot } heliocentric velocity, AU/d +** pv[1][2] zdot } +** +** The reference frame is equatorial and is with respect to the +** mean equator and equinox of epoch J2000.0. +** +** 5) The algorithm is due to J.L. Simon, P. Bretagnon, J. Chapront, +** M. Chapront-Touze, G. Francou and J. Laskar (Bureau des +** Longitudes, Paris, France). From comparisons with JPL +** ephemeris DE102, they quote the following maximum errors +** over the interval 1800-2050: +** +** L (arcsec) B (arcsec) R (km) +** +** Mercury 4 1 300 +** Venus 5 1 800 +** EMB 6 1 1000 +** Mars 17 1 7700 +** Jupiter 71 5 76000 +** Saturn 81 13 267000 +** Uranus 86 7 712000 +** Neptune 11 1 253000 +** +** Over the interval 1000-3000, they report that the accuracy is no +** worse than 1.5 times that over 1800-2050. Outside 1000-3000 the +** accuracy declines. +** +** Comparisons of the present function with the JPL DE200 ephemeris +** give the following RMS errors over the interval 1960-2025: +** +** position (km) velocity (m/s) +** +** Mercury 334 0.437 +** Venus 1060 0.855 +** EMB 2010 0.815 +** Mars 7690 1.98 +** Jupiter 71700 7.70 +** Saturn 199000 19.4 +** Uranus 564000 16.4 +** Neptune 158000 14.4 +** +** Comparisons against DE200 over the interval 1800-2100 gave the +** following maximum absolute differences. (The results using +** DE406 were essentially the same.) +** +** L (arcsec) B (arcsec) R (km) Rdot (m/s) +** +** Mercury 7 1 500 0.7 +** Venus 7 1 1100 0.9 +** EMB 9 1 1300 1.0 +** Mars 26 1 9000 2.5 +** Jupiter 78 6 82000 8.2 +** Saturn 87 14 263000 24.6 +** Uranus 86 7 661000 27.4 +** Neptune 11 2 248000 21.4 +** +** 6) The present ERFA re-implementation of the original Simon et al. +** Fortran code differs from the original in the following respects: +** +** * C instead of Fortran. +** +** * The date is supplied in two parts. +** +** * The result is returned only in equatorial Cartesian form; +** the ecliptic longitude, latitude and radius vector are not +** returned. +** +** * The result is in the J2000.0 equatorial frame, not ecliptic. +** +** * More is done in-line: there are fewer calls to subroutines. +** +** * Different error/warning status values are used. +** +** * A different Kepler's-equation-solver is used (avoiding +** use of double precision complex). +** +** * Polynomials in t are nested to minimize rounding errors. +** +** * Explicit double constants are used to avoid mixed-mode +** expressions. +** +** None of the above changes affects the result significantly. +** +** 7) The returned status indicates the most serious condition +** encountered during execution of the function. Illegal np is +** considered the most serious, overriding failure to converge, +** which in turn takes precedence over the remote date warning. +** +** Called: +** eraAnp normalize angle into range 0 to 2pi +** +** Reference: Simon, J.L, Bretagnon, P., Chapront, J., +** Chapront-Touze, M., Francou, G., and Laskar, J., +** Astron. Astrophys. 282, 663 (1994). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Gaussian constant */ + static const double GK = 0.017202098950; + +/* Sin and cos of J2000.0 mean obliquity (IAU 1976) */ + static const double SINEPS = 0.3977771559319137; + static const double COSEPS = 0.9174820620691818; + +/* Maximum number of iterations allowed to solve Kepler's equation */ + static const int KMAX = 10; + + int jstat, i, k; + double t, da, dl, de, dp, di, dom, dmu, arga, argl, am, + ae, dae, ae2, at, r, v, si2, xq, xp, tl, xsw, + xcw, xm2, xf, ci2, xms, xmc, xpxq2, x, y, z; + +/* Planetary inverse masses */ + static const double amas[] = { 6023600.0, /* Mercury */ + 408523.5, /* Venus */ + 328900.5, /* EMB */ + 3098710.0, /* Mars */ + 1047.355, /* Jupiter */ + 3498.5, /* Saturn */ + 22869.0, /* Uranus */ + 19314.0 }; /* Neptune */ + +/* +** Tables giving the mean Keplerian elements, limited to t^2 terms: +** +** a semi-major axis (AU) +** dlm mean longitude (degree and arcsecond) +** e eccentricity +** pi longitude of the perihelion (degree and arcsecond) +** dinc inclination (degree and arcsecond) +** omega longitude of the ascending node (degree and arcsecond) +*/ + + static const double a[][3] = { + { 0.3870983098, 0.0, 0.0 }, /* Mercury */ + { 0.7233298200, 0.0, 0.0 }, /* Venus */ + { 1.0000010178, 0.0, 0.0 }, /* EMB */ + { 1.5236793419, 3e-10, 0.0 }, /* Mars */ + { 5.2026032092, 19132e-10, -39e-10 }, /* Jupiter */ + { 9.5549091915, -0.0000213896, 444e-10 }, /* Saturn */ + { 19.2184460618, -3716e-10, 979e-10 }, /* Uranus */ + { 30.1103868694, -16635e-10, 686e-10 } /* Neptune */ + }; + + static const double dlm[][3] = { + { 252.25090552, 5381016286.88982, -1.92789 }, + { 181.97980085, 2106641364.33548, 0.59381 }, + { 100.46645683, 1295977422.83429, -2.04411 }, + { 355.43299958, 689050774.93988, 0.94264 }, + { 34.35151874, 109256603.77991, -30.60378 }, + { 50.07744430, 43996098.55732, 75.61614 }, + { 314.05500511, 15424811.93933, -1.75083 }, + { 304.34866548, 7865503.20744, 0.21103 } + }; + + static const double e[][3] = { + { 0.2056317526, 0.0002040653, -28349e-10 }, + { 0.0067719164, -0.0004776521, 98127e-10 }, + { 0.0167086342, -0.0004203654, -0.0000126734 }, + { 0.0934006477, 0.0009048438, -80641e-10 }, + { 0.0484979255, 0.0016322542, -0.0000471366 }, + { 0.0555481426, -0.0034664062, -0.0000643639 }, + { 0.0463812221, -0.0002729293, 0.0000078913 }, + { 0.0094557470, 0.0000603263, 0.0 } + }; + + static const double pi[][3] = { + { 77.45611904, 5719.11590, -4.83016 }, + { 131.56370300, 175.48640, -498.48184 }, + { 102.93734808, 11612.35290, 53.27577 }, + { 336.06023395, 15980.45908, -62.32800 }, + { 14.33120687, 7758.75163, 259.95938 }, + { 93.05723748, 20395.49439, 190.25952 }, + { 173.00529106, 3215.56238, -34.09288 }, + { 48.12027554, 1050.71912, 27.39717 } + }; + + static const double dinc[][3] = { + { 7.00498625, -214.25629, 0.28977 }, + { 3.39466189, -30.84437, -11.67836 }, + { 0.0, 469.97289, -3.35053 }, + { 1.84972648, -293.31722, -8.11830 }, + { 1.30326698, -71.55890, 11.95297 }, + { 2.48887878, 91.85195, -17.66225 }, + { 0.77319689, -60.72723, 1.25759 }, + { 1.76995259, 8.12333, 0.08135 } + }; + + static const double omega[][3] = { + { 48.33089304, -4515.21727, -31.79892 }, + { 76.67992019, -10008.48154, -51.32614 }, + { 174.87317577, -8679.27034, 15.34191 }, + { 49.55809321, -10620.90088, -230.57416 }, + { 100.46440702, 6362.03561, 326.52178 }, + { 113.66550252, -9240.19942, -66.23743 }, + { 74.00595701, 2669.15033, 145.93964 }, + { 131.78405702, -221.94322, -0.78728 } + }; + +/* Tables for trigonometric terms to be added to the mean elements of */ +/* the semi-major axes */ + + static const double kp[][9] = { + { 69613, 75645, 88306, 59899, 15746, 71087, 142173, 3086, 0 }, + { 21863, 32794, 26934, 10931, 26250, 43725, 53867, 28939, 0 }, + { 16002, 21863, 32004, 10931, 14529, 16368, 15318, 32794, 0 }, + { 6345, 7818, 15636, 7077, 8184, 14163, 1107, 4872, 0 }, + { 1760, 1454, 1167, 880, 287, 2640, 19, 2047, 1454 }, + { 574, 0, 880, 287, 19, 1760, 1167, 306, 574 }, + { 204, 0, 177, 1265, 4, 385, 200, 208, 204 }, + { 0, 102, 106, 4, 98, 1367, 487, 204, 0 } + }; + + static const double ca[][9] = { + { 4, -13, 11, -9, -9, -3, -1, 4, 0 }, + { -156, 59, -42, 6, 19, -20, -10, -12, 0 }, + { 64, -152, 62, -8, 32, -41, 19, -11, 0 }, + { 124, 621, -145, 208, 54, -57, 30, 15, 0 }, + { -23437, -2634, 6601, 6259, -1507,-1821, 2620, -2115, -1489 }, + { 62911,-119919, 79336,17814,-24241,12068, 8306, -4893, 8902 }, + { 389061,-262125,-44088, 8387,-22976,-2093, -615, -9720, 6633 }, + { -412235,-157046,-31430,37817, -9740, -13, -7449, 9644, 0 } + }; + + static const double sa[][9] = { + { -29, -1, 9, 6, -6, 5, 4, 0, 0 }, + { -48, -125, -26, -37, 18, -13, -20, -2, 0 }, + { -150, -46, 68, 54, 14, 24, -28, 22, 0 }, + { -621, 532, -694, -20, 192, -94, 71, -73, 0 }, + { -14614,-19828, -5869, 1881, -4372, -2255, 782, 930, 913 }, + { 139737, 0, 24667, 51123, -5102, 7429, -4095, -1976, -9566 }, + { -138081, 0, 37205,-49039,-41901,-33872,-27037,-12474, 18797 }, + { 0, 28492,133236, 69654, 52322,-49577,-26430, -3593, 0 } + }; + +/* Tables giving the trigonometric terms to be added to the mean */ +/* elements of the mean longitudes */ + + static const double kq[][10] = { + { 3086,15746,69613,59899,75645,88306, 12661, 2658, 0, 0 }, + { 21863,32794,10931, 73, 4387,26934, 1473, 2157, 0, 0 }, + { 10,16002,21863,10931, 1473,32004, 4387, 73, 0, 0 }, + { 10, 6345, 7818, 1107,15636, 7077, 8184, 532, 10, 0 }, + { 19, 1760, 1454, 287, 1167, 880, 574, 2640, 19, 1454 }, + { 19, 574, 287, 306, 1760, 12, 31, 38, 19, 574 }, + { 4, 204, 177, 8, 31, 200, 1265, 102, 4, 204 }, + { 4, 102, 106, 8, 98, 1367, 487, 204, 4, 102 } + }; + + static const double cl[][10] = { + { 21, -95, -157, 41, -5, 42, 23, 30, 0, 0 }, + { -160, -313, -235, 60, -74, -76, -27, 34, 0, 0 }, + { -325, -322, -79, 232, -52, 97, 55, -41, 0, 0 }, + { 2268, -979, 802, 602, -668, -33, 345, 201, -55, 0 }, + { 7610, -4997,-7689,-5841,-2617, 1115,-748,-607, 6074, 354 }, + { -18549, 30125,20012, -730, 824, 23,1289,-352, -14767, -2062 }, + { -135245,-14594, 4197,-4030,-5630,-2898,2540,-306, 2939, 1986 }, + { 89948, 2103, 8963, 2695, 3682, 1648, 866,-154, -1963, -283 } + }; + + static const double sl[][10] = { + { -342, 136, -23, 62, 66, -52, -33, 17, 0, 0 }, + { 524, -149, -35, 117, 151, 122, -71, -62, 0, 0 }, + { -105, -137, 258, 35, -116, -88,-112, -80, 0, 0 }, + { 854, -205, -936, -240, 140, -341, -97, -232, 536, 0 }, + { -56980, 8016, 1012, 1448,-3024,-3710, 318, 503, 3767, 577 }, + { 138606,-13478,-4964, 1441,-1319,-1482, 427, 1236, -9167, -1918 }, + { 71234,-41116, 5334,-4935,-1848, 66, 434, -1748, 3780, -701 }, + { -47645, 11647, 2166, 3194, 679, 0,-244, -419, -2531, 48 } + }; + +/*--------------------------------------------------------------------*/ + +/* Validate the planet number. */ + if ((np < 1) || (np > 8)) { + jstat = -1; + + /* Reset the result in case of failure. */ + for (k = 0; k < 2; k++) { + for (i = 0; i < 3; i++) { + pv[k][i] = 0.0; + } + } + + } else { + + /* Decrement the planet number to start at zero. */ + np--; + + /* Time: Julian millennia since J2000.0. */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJM; + + /* OK status unless remote date. */ + jstat = fabs(t) <= 1.0 ? 0 : 1; + + /* Compute the mean elements. */ + da = a[np][0] + + (a[np][1] + + a[np][2] * t) * t; + dl = (3600.0 * dlm[np][0] + + (dlm[np][1] + + dlm[np][2] * t) * t) * ERFA_DAS2R; + de = e[np][0] + + ( e[np][1] + + e[np][2] * t) * t; + dp = eraAnpm((3600.0 * pi[np][0] + + (pi[np][1] + + pi[np][2] * t) * t) * ERFA_DAS2R); + di = (3600.0 * dinc[np][0] + + (dinc[np][1] + + dinc[np][2] * t) * t) * ERFA_DAS2R; + dom = eraAnpm((3600.0 * omega[np][0] + + (omega[np][1] + + omega[np][2] * t) * t) * ERFA_DAS2R); + + /* Apply the trigonometric terms. */ + dmu = 0.35953620 * t; + for (k = 0; k < 8; k++) { + arga = kp[np][k] * dmu; + argl = kq[np][k] * dmu; + da += (ca[np][k] * cos(arga) + + sa[np][k] * sin(arga)) * 1e-7; + dl += (cl[np][k] * cos(argl) + + sl[np][k] * sin(argl)) * 1e-7; + } + arga = kp[np][8] * dmu; + da += t * (ca[np][8] * cos(arga) + + sa[np][8] * sin(arga)) * 1e-7; + for (k = 8; k < 10; k++) { + argl = kq[np][k] * dmu; + dl += t * (cl[np][k] * cos(argl) + + sl[np][k] * sin(argl)) * 1e-7; + } + dl = fmod(dl, ERFA_D2PI); + + /* Iterative soln. of Kepler's equation to get eccentric anomaly. */ + am = dl - dp; + ae = am + de * sin(am); + k = 0; + dae = 1.0; + while (k < KMAX && fabs(dae) > 1e-12) { + dae = (am - ae + de * sin(ae)) / (1.0 - de * cos(ae)); + ae += dae; + k++; + if (k == KMAX-1) jstat = 2; + } + + /* True anomaly. */ + ae2 = ae / 2.0; + at = 2.0 * atan2(sqrt((1.0 + de) / (1.0 - de)) * sin(ae2), + cos(ae2)); + + /* Distance (AU) and speed (radians per day). */ + r = da * (1.0 - de * cos(ae)); + v = GK * sqrt((1.0 + 1.0 / amas[np]) / (da * da * da)); + + si2 = sin(di / 2.0); + xq = si2 * cos(dom); + xp = si2 * sin(dom); + tl = at + dp; + xsw = sin(tl); + xcw = cos(tl); + xm2 = 2.0 * (xp * xcw - xq * xsw); + xf = da / sqrt(1 - de * de); + ci2 = cos(di / 2.0); + xms = (de * sin(dp) + xsw) * xf; + xmc = (de * cos(dp) + xcw) * xf; + xpxq2 = 2 * xp * xq; + + /* Position (J2000.0 ecliptic x,y,z in AU). */ + x = r * (xcw - xm2 * xp); + y = r * (xsw + xm2 * xq); + z = r * (-xm2 * ci2); + + /* Rotate to equatorial. */ + pv[0][0] = x; + pv[0][1] = y * COSEPS - z * SINEPS; + pv[0][2] = y * SINEPS + z * COSEPS; + + /* Velocity (J2000.0 ecliptic xdot,ydot,zdot in AU/d). */ + x = v * (( -1.0 + 2.0 * xp * xp) * xms + xpxq2 * xmc); + y = v * (( 1.0 - 2.0 * xq * xq) * xmc - xpxq2 * xms); + z = v * (2.0 * ci2 * (xp * xms + xq * xmc)); + + /* Rotate to equatorial. */ + pv[1][0] = x; + pv[1][1] = y * COSEPS - z * SINEPS; + pv[1][2] = y * SINEPS + z * COSEPS; + + } + +/* Return the status. */ + return jstat; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pm.c b/ast/erfa/pm.c new file mode 100644 index 0000000..3ad503a --- /dev/null +++ b/ast/erfa/pm.c @@ -0,0 +1,85 @@ +#include "erfa.h" + +double eraPm(double p[3]) +/* +** - - - - - - +** e r a P m +** - - - - - - +** +** Modulus of p-vector. +** +** Given: +** p double[3] p-vector +** +** Returned (function value): +** double modulus +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + return sqrt( p[0]*p[0] + p[1]*p[1] + p[2]*p[2] ); + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pmat00.c b/ast/erfa/pmat00.c new file mode 100644 index 0000000..275184a --- /dev/null +++ b/ast/erfa/pmat00.c @@ -0,0 +1,127 @@ +#include "erfa.h" + +void eraPmat00(double date1, double date2, double rbp[3][3]) +/* +** - - - - - - - - - - +** e r a P m a t 0 0 +** - - - - - - - - - - +** +** Precession matrix (including frame bias) from GCRS to a specified +** date, IAU 2000 model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** rbp double[3][3] bias-precession matrix (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix operates in the sense V(date) = rbp * V(GCRS), where +** the p-vector V(GCRS) is with respect to the Geocentric Celestial +** Reference System (IAU, 2000) and the p-vector V(date) is with +** respect to the mean equatorial triad of the given date. +** +** Called: +** eraBp00 frame bias and precession matrices, IAU 2000 +** +** Reference: +** +** IAU: Trans. International Astronomical Union, Vol. XXIVB; Proc. +** 24th General Assembly, Manchester, UK. Resolutions B1.3, B1.6. +** (2000) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rb[3][3], rp[3][3]; + + +/* Obtain the required matrix (discarding others). */ + eraBp00(date1, date2, rb, rp, rbp); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pmat06.c b/ast/erfa/pmat06.c new file mode 100644 index 0000000..28d48f7 --- /dev/null +++ b/ast/erfa/pmat06.c @@ -0,0 +1,131 @@ +#include "erfa.h" + +void eraPmat06(double date1, double date2, double rbp[3][3]) +/* +** - - - - - - - - - - +** e r a P m a t 0 6 +** - - - - - - - - - - +** +** Precession matrix (including frame bias) from GCRS to a specified +** date, IAU 2006 model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** rbp double[3][3] bias-precession matrix (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix operates in the sense V(date) = rbp * V(GCRS), where +** the p-vector V(GCRS) is with respect to the Geocentric Celestial +** Reference System (IAU, 2000) and the p-vector V(date) is with +** respect to the mean equatorial triad of the given date. +** +** Called: +** eraPfw06 bias-precession F-W angles, IAU 2006 +** eraFw2m F-W angles to r-matrix +** +** References: +** +** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 +** +** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double gamb, phib, psib, epsa; + + +/* Bias-precession Fukushima-Williams angles. */ + eraPfw06(date1, date2, &gamb, &phib, &psib, &epsa); + +/* Form the matrix. */ + eraFw2m(gamb, phib, psib, epsa, rbp); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pmat76.c b/ast/erfa/pmat76.c new file mode 100644 index 0000000..eeeecd2 --- /dev/null +++ b/ast/erfa/pmat76.c @@ -0,0 +1,150 @@ +#include "erfa.h" + +void eraPmat76(double date1, double date2, double rmatp[3][3]) +/* +** - - - - - - - - - - +** e r a P m a t 7 6 +** - - - - - - - - - - +** +** Precession matrix from J2000.0 to a specified date, IAU 1976 model. +** +** Given: +** date1,date2 double ending date, TT (Note 1) +** +** Returned: +** rmatp double[3][3] precession matrix, J2000.0 -> date1+date2 +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix operates in the sense V(date) = RMATP * V(J2000), +** where the p-vector V(J2000) is with respect to the mean +** equatorial triad of epoch J2000.0 and the p-vector V(date) +** is with respect to the mean equatorial triad of the given +** date. +** +** 3) Though the matrix method itself is rigorous, the precession +** angles are expressed through canonical polynomials which are +** valid only for a limited time span. In addition, the IAU 1976 +** precession rate is known to be imperfect. The absolute accuracy +** of the present formulation is better than 0.1 arcsec from +** 1960AD to 2040AD, better than 1 arcsec from 1640AD to 2360AD, +** and remains below 3 arcsec for the whole of the period +** 500BC to 3000AD. The errors exceed 10 arcsec outside the +** range 1200BC to 3900AD, exceed 100 arcsec outside 4200BC to +** 5600AD and exceed 1000 arcsec outside 6800BC to 8200AD. +** +** Called: +** eraPrec76 accumulated precession angles, IAU 1976 +** eraIr initialize r-matrix to identity +** eraRz rotate around Z-axis +** eraRy rotate around Y-axis +** eraCr copy r-matrix +** +** References: +** +** Lieske, J.H., 1979, Astron.Astrophys. 73, 282. +** equations (6) & (7), p283. +** +** Kaplan,G.H., 1981. USNO circular no. 163, pA2. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double zeta, z, theta, wmat[3][3]; + + +/* Precession Euler angles, J2000.0 to specified date. */ + eraPrec76(ERFA_DJ00, 0.0, date1, date2, &zeta, &z, &theta); + +/* Form the rotation matrix. */ + eraIr( wmat); + eraRz( -zeta, wmat); + eraRy( theta, wmat); + eraRz( -z, wmat); + eraCr( wmat, rmatp); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pmp.c b/ast/erfa/pmp.c new file mode 100644 index 0000000..d5c1f83 --- /dev/null +++ b/ast/erfa/pmp.c @@ -0,0 +1,94 @@ +#include "erfa.h" + +void eraPmp(double a[3], double b[3], double amb[3]) +/* +** - - - - - - - +** e r a P m p +** - - - - - - - +** +** P-vector subtraction. +** +** Given: +** a double[3] first p-vector +** b double[3] second p-vector +** +** Returned: +** amb double[3] a - b +** +** Note: +** It is permissible to re-use the same array for any of the +** arguments. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + amb[0] = a[0] - b[0]; + amb[1] = a[1] - b[1]; + amb[2] = a[2] - b[2]; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pmpx.c b/ast/erfa/pmpx.c new file mode 100644 index 0000000..1659edc --- /dev/null +++ b/ast/erfa/pmpx.c @@ -0,0 +1,153 @@ +#include "erfa.h" + +void eraPmpx(double rc, double dc, double pr, double pd, + double px, double rv, double pmt, double pob[3], + double pco[3]) +/* +** - - - - - - - - +** e r a P m p x +** - - - - - - - - +** +** Proper motion and parallax. +** +** Given: +** rc,dc double ICRS RA,Dec at catalog epoch (radians) +** pr double RA proper motion (radians/year; Note 1) +** pd double Dec proper motion (radians/year) +** px double parallax (arcsec) +** rv double radial velocity (km/s, +ve if receding) +** pmt double proper motion time interval (SSB, Julian years) +** pob double[3] SSB to observer vector (au) +** +** Returned: +** pco double[3] coordinate direction (BCRS unit vector) +** +** Notes: +** +** 1) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt. +** +** 2) The proper motion time interval is for when the starlight +** reaches the solar system barycenter. +** +** 3) To avoid the need for iteration, the Roemer effect (i.e. the +** small annual modulation of the proper motion coming from the +** changing light time) is applied approximately, using the +** direction of the star at the catalog epoch. +** +** References: +** +** 1984 Astronomical Almanac, pp B39-B41. +** +** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to +** the Astronomical Almanac, 3rd ed., University Science Books +** (2013), Section 7.2. +** +** Called: +** eraPdp scalar product of two p-vectors +** eraPn decompose p-vector into modulus and direction +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Km/s to au/year */ + const double VF = ERFA_DAYSEC*ERFA_DJM/ERFA_DAU; + +/* Light time for 1 au, Julian years */ + const double AULTY = ERFA_AULT/ERFA_DAYSEC/ERFA_DJY; + + int i; + double sr, cr, sd, cd, x, y, z, p[3], dt, pxr, w, pdz, pm[3]; + + +/* Spherical coordinates to unit vector (and useful functions). */ + sr = sin(rc); + cr = cos(rc); + sd = sin(dc); + cd = cos(dc); + p[0] = x = cr*cd; + p[1] = y = sr*cd; + p[2] = z = sd; + +/* Proper motion time interval (y) including Roemer effect. */ + dt = pmt + eraPdp(p,pob)*AULTY; + +/* Space motion (radians per year). */ + pxr = px * ERFA_DAS2R; + w = VF * rv * pxr; + pdz = pd * z; + pm[0] = - pr*y - pdz*cr + w*x; + pm[1] = pr*x - pdz*sr + w*y; + pm[2] = pd*cd + w*z; + +/* Coordinate direction of star (unit vector, BCRS). */ + for (i = 0; i < 3; i++) { + p[i] += dt*pm[i] - pxr*pob[i]; + } + eraPn(p, &w, pco); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pmsafe.c b/ast/erfa/pmsafe.c new file mode 100644 index 0000000..fa71e47 --- /dev/null +++ b/ast/erfa/pmsafe.c @@ -0,0 +1,206 @@ +#include "erfa.h" + +int eraPmsafe(double ra1, double dec1, double pmr1, double pmd1, + double px1, double rv1, + double ep1a, double ep1b, double ep2a, double ep2b, + double *ra2, double *dec2, double *pmr2, double *pmd2, + double *px2, double *rv2) +/* +** - - - - - - - - - - +** e r a P m s a f e +** - - - - - - - - - - +** +** Star proper motion: update star catalog data for space motion, with +** special handling to handle the zero parallax case. +** +** Given: +** ra1 double right ascension (radians), before +** dec1 double declination (radians), before +** pmr1 double RA proper motion (radians/year), before +** pmd1 double Dec proper motion (radians/year), before +** px1 double parallax (arcseconds), before +** rv1 double radial velocity (km/s, +ve = receding), before +** ep1a double "before" epoch, part A (Note 1) +** ep1b double "before" epoch, part B (Note 1) +** ep2a double "after" epoch, part A (Note 1) +** ep2b double "after" epoch, part B (Note 1) +** +** Returned: +** ra2 double right ascension (radians), after +** dec2 double declination (radians), after +** pmr2 double RA proper motion (radians/year), after +** pmd2 double Dec proper motion (radians/year), after +** px2 double parallax (arcseconds), after +** rv2 double radial velocity (km/s, +ve = receding), after +** +** Returned (function value): +** int status: +** -1 = system error (should not occur) +** 0 = no warnings or errors +** 1 = distance overridden (Note 6) +** 2 = excessive velocity (Note 7) +** 4 = solution didn't converge (Note 8) +** else = binary logical OR of the above warnings +** +** Notes: +** +** 1) The starting and ending TDB epochs ep1a+ep1b and ep2a+ep2b are +** Julian Dates, apportioned in any convenient way between the two +** parts (A and B). For example, JD(TDB)=2450123.7 could be +** expressed in any of these ways, among others: +** +** epNa epNb +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 method is best matched to the way the +** argument is handled internally and will deliver the optimum +** resolution. The MJD method and the date & time methods are both +** good compromises between resolution and convenience. +** +** 2) In accordance with normal star-catalog conventions, the object's +** right ascension and declination are freed from the effects of +** secular aberration. The frame, which is aligned to the catalog +** equator and equinox, is Lorentzian and centered on the SSB. +** +** The proper motions are the rate of change of the right ascension +** and declination at the catalog epoch and are in radians per TDB +** Julian year. +** +** The parallax and radial velocity are in the same frame. +** +** 3) Care is needed with units. The star coordinates are in radians +** and the proper motions in radians per Julian year, but the +** parallax is in arcseconds. +** +** 4) The RA proper motion is in terms of coordinate angle, not true +** angle. If the catalog uses arcseconds for both RA and Dec proper +** motions, the RA proper motion will need to be divided by cos(Dec) +** before use. +** +** 5) Straight-line motion at constant speed, in the inertial frame, is +** assumed. +** +** 6) An extremely small (or zero or negative) parallax is overridden +** to ensure that the object is at a finite but very large distance, +** but not so large that the proper motion is equivalent to a large +** but safe speed (about 0.1c using the chosen constant). A warning +** status of 1 is added to the status if this action has been taken. +** +** 7) If the space velocity is a significant fraction of c (see the +** constant VMAX in the function eraStarpv), it is arbitrarily set +** to zero. When this action occurs, 2 is added to the status. +** +** 8) The relativistic adjustment carried out in the eraStarpv function +** involves an iterative calculation. If the process fails to +** converge within a set number of iterations, 4 is added to the +** status. +** +** Called: +** eraSeps angle between two points +** eraStarpm update star catalog data for space motion +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* Minimum allowed parallax (arcsec) */ + const double PXMIN = 5e-7; + +/* Factor giving maximum allowed transverse speed of about 1% c */ + const double F = 326.0; + + int jpx, j; + double pm, px1a; + + +/* Proper motion in one year (radians). */ + pm = eraSeps(ra1, dec1, ra1+pmr1, dec1+pmd1); + +/* Override the parallax to reduce the chances of a warning status. */ + jpx = 0; + px1a = px1; + pm *= F; + if (px1a < pm) {jpx = 1; px1a = pm;} + if (px1a < PXMIN) {jpx = 1; px1a = PXMIN;} + +/* Carry out the transformation using the modified parallax. */ + j = eraStarpm(ra1, dec1, pmr1, pmd1, px1a, rv1, + ep1a, ep1b, ep2a, ep2b, + ra2, dec2, pmr2, pmd2, px2, rv2); + +/* Revise and return the status. */ + if (! j%2) j += jpx; + return j; + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pn.c b/ast/erfa/pn.c new file mode 100644 index 0000000..d8e27b4 --- /dev/null +++ b/ast/erfa/pn.c @@ -0,0 +1,118 @@ +#include "erfa.h" + +void eraPn(double p[3], double *r, double u[3]) +/* +** - - - - - - +** e r a P n +** - - - - - - +** +** Convert a p-vector into modulus and unit vector. +** +** Given: +** p double[3] p-vector +** +** Returned: +** r double modulus +** u double[3] unit vector +** +** Notes: +** +** 1) If p is null, the result is null. Otherwise the result is a unit +** vector. +** +** 2) It is permissible to re-use the same array for any of the +** arguments. +** +** Called: +** eraPm modulus of p-vector +** eraZp zero p-vector +** eraSxp multiply p-vector by scalar +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double w; + + +/* Obtain the modulus and test for zero. */ + w = eraPm(p); + if (w == 0.0) { + + /* Null vector. */ + eraZp(u); + + } else { + + /* Unit vector. */ + eraSxp(1.0/w, p, u); + } + +/* Return the modulus. */ + *r = w; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pn00.c b/ast/erfa/pn00.c new file mode 100644 index 0000000..9063aba --- /dev/null +++ b/ast/erfa/pn00.c @@ -0,0 +1,186 @@ +#include "erfa.h" + +void eraPn00(double date1, double date2, double dpsi, double deps, + double *epsa, + double rb[3][3], double rp[3][3], double rbp[3][3], + double rn[3][3], double rbpn[3][3]) +/* +** - - - - - - - - +** e r a P n 0 0 +** - - - - - - - - +** +** Precession-nutation, IAU 2000 model: a multi-purpose function, +** supporting classical (equinox-based) use directly and CIO-based +** use indirectly. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** dpsi,deps double nutation (Note 2) +** +** Returned: +** epsa double mean obliquity (Note 3) +** rb double[3][3] frame bias matrix (Note 4) +** rp double[3][3] precession matrix (Note 5) +** rbp double[3][3] bias-precession matrix (Note 6) +** rn double[3][3] nutation matrix (Note 7) +** rbpn double[3][3] GCRS-to-true matrix (Note 8) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The caller is responsible for providing the nutation components; +** they are in longitude and obliquity, in radians and are with +** respect to the equinox and ecliptic of date. For high-accuracy +** applications, free core nutation should be included as well as +** any other relevant corrections to the position of the CIP. +** +** 3) The returned mean obliquity is consistent with the IAU 2000 +** precession-nutation models. +** +** 4) The matrix rb transforms vectors from GCRS to J2000.0 mean +** equator and equinox by applying frame bias. +** +** 5) The matrix rp transforms vectors from J2000.0 mean equator and +** equinox to mean equator and equinox of date by applying +** precession. +** +** 6) The matrix rbp transforms vectors from GCRS to mean equator and +** equinox of date by applying frame bias then precession. It is +** the product rp x rb. +** +** 7) The matrix rn transforms vectors from mean equator and equinox of +** date to true equator and equinox of date by applying the nutation +** (luni-solar + planetary). +** +** 8) The matrix rbpn transforms vectors from GCRS to true equator and +** equinox of date. It is the product rn x rbp, applying frame +** bias, precession and nutation in that order. +** +** 9) It is permissible to re-use the same array in the returned +** arguments. The arrays are filled in the order given. +** +** Called: +** eraPr00 IAU 2000 precession adjustments +** eraObl80 mean obliquity, IAU 1980 +** eraBp00 frame bias and precession matrices, IAU 2000 +** eraCr copy r-matrix +** eraNumat form nutation matrix +** eraRxr product of two r-matrices +** +** Reference: +** +** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., +** "Expressions for the Celestial Intermediate Pole and Celestial +** Ephemeris Origin consistent with the IAU 2000A precession- +** nutation model", Astron.Astrophys. 400, 1145-1154 (2003) +** +** n.b. The celestial ephemeris origin (CEO) was renamed "celestial +** intermediate origin" (CIO) by IAU 2006 Resolution 2. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dpsipr, depspr, rbpw[3][3], rnw[3][3]; + + +/* IAU 2000 precession-rate adjustments. */ + eraPr00(date1, date2, &dpsipr, &depspr); + +/* Mean obliquity, consistent with IAU 2000 precession-nutation. */ + *epsa = eraObl80(date1, date2) + depspr; + +/* Frame bias and precession matrices and their product. */ + eraBp00(date1, date2, rb, rp, rbpw); + eraCr(rbpw, rbp); + +/* Nutation matrix. */ + eraNumat(*epsa, dpsi, deps, rnw); + eraCr(rnw, rn); + +/* Bias-precession-nutation matrix (classical). */ + eraRxr(rnw, rbpw, rbpn); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pn00a.c b/ast/erfa/pn00a.c new file mode 100644 index 0000000..8544cec --- /dev/null +++ b/ast/erfa/pn00a.c @@ -0,0 +1,172 @@ +#include "erfa.h" + +void eraPn00a(double date1, double date2, + double *dpsi, double *deps, double *epsa, + double rb[3][3], double rp[3][3], double rbp[3][3], + double rn[3][3], double rbpn[3][3]) +/* +** - - - - - - - - - +** e r a P n 0 0 a +** - - - - - - - - - +** +** Precession-nutation, IAU 2000A model: a multi-purpose function, +** supporting classical (equinox-based) use directly and CIO-based +** use indirectly. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** dpsi,deps double nutation (Note 2) +** epsa double mean obliquity (Note 3) +** rb double[3][3] frame bias matrix (Note 4) +** rp double[3][3] precession matrix (Note 5) +** rbp double[3][3] bias-precession matrix (Note 6) +** rn double[3][3] nutation matrix (Note 7) +** rbpn double[3][3] GCRS-to-true matrix (Notes 8,9) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The nutation components (luni-solar + planetary, IAU 2000A) in +** longitude and obliquity are in radians and with respect to the +** equinox and ecliptic of date. Free core nutation is omitted; +** for the utmost accuracy, use the eraPn00 function, where the +** nutation components are caller-specified. For faster but +** slightly less accurate results, use the eraPn00b function. +** +** 3) The mean obliquity is consistent with the IAU 2000 precession. +** +** 4) The matrix rb transforms vectors from GCRS to J2000.0 mean +** equator and equinox by applying frame bias. +** +** 5) The matrix rp transforms vectors from J2000.0 mean equator and +** equinox to mean equator and equinox of date by applying +** precession. +** +** 6) The matrix rbp transforms vectors from GCRS to mean equator and +** equinox of date by applying frame bias then precession. It is +** the product rp x rb. +** +** 7) The matrix rn transforms vectors from mean equator and equinox +** of date to true equator and equinox of date by applying the +** nutation (luni-solar + planetary). +** +** 8) The matrix rbpn transforms vectors from GCRS to true equator and +** equinox of date. It is the product rn x rbp, applying frame +** bias, precession and nutation in that order. +** +** 9) The X,Y,Z coordinates of the IAU 2000A Celestial Intermediate +** Pole are elements (3,1-3) of the GCRS-to-true matrix, +** i.e. rbpn[2][0-2]. +** +** 10) It is permissible to re-use the same array in the returned +** arguments. The arrays are filled in the order given. +** +** Called: +** eraNut00a nutation, IAU 2000A +** eraPn00 bias/precession/nutation results, IAU 2000 +** +** Reference: +** +** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., +** "Expressions for the Celestial Intermediate Pole and Celestial +** Ephemeris Origin consistent with the IAU 2000A precession- +** nutation model", Astron.Astrophys. 400, 1145-1154 (2003) +** +** n.b. The celestial ephemeris origin (CEO) was renamed "celestial +** intermediate origin" (CIO) by IAU 2006 Resolution 2. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Nutation. */ + eraNut00a(date1, date2, dpsi, deps); + +/* Remaining results. */ + eraPn00(date1, date2, *dpsi, *deps, epsa, rb, rp, rbp, rn, rbpn); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pn00b.c b/ast/erfa/pn00b.c new file mode 100644 index 0000000..959d6d4 --- /dev/null +++ b/ast/erfa/pn00b.c @@ -0,0 +1,172 @@ +#include "erfa.h" + +void eraPn00b(double date1, double date2, + double *dpsi, double *deps, double *epsa, + double rb[3][3], double rp[3][3], double rbp[3][3], + double rn[3][3], double rbpn[3][3]) +/* +** - - - - - - - - - +** e r a P n 0 0 b +** - - - - - - - - - +** +** Precession-nutation, IAU 2000B model: a multi-purpose function, +** supporting classical (equinox-based) use directly and CIO-based +** use indirectly. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** dpsi,deps double nutation (Note 2) +** epsa double mean obliquity (Note 3) +** rb double[3][3] frame bias matrix (Note 4) +** rp double[3][3] precession matrix (Note 5) +** rbp double[3][3] bias-precession matrix (Note 6) +** rn double[3][3] nutation matrix (Note 7) +** rbpn double[3][3] GCRS-to-true matrix (Notes 8,9) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The nutation components (luni-solar + planetary, IAU 2000B) in +** longitude and obliquity are in radians and with respect to the +** equinox and ecliptic of date. For more accurate results, but +** at the cost of increased computation, use the eraPn00a function. +** For the utmost accuracy, use the eraPn00 function, where the +** nutation components are caller-specified. +** +** 3) The mean obliquity is consistent with the IAU 2000 precession. +** +** 4) The matrix rb transforms vectors from GCRS to J2000.0 mean +** equator and equinox by applying frame bias. +** +** 5) The matrix rp transforms vectors from J2000.0 mean equator and +** equinox to mean equator and equinox of date by applying +** precession. +** +** 6) The matrix rbp transforms vectors from GCRS to mean equator and +** equinox of date by applying frame bias then precession. It is +** the product rp x rb. +** +** 7) The matrix rn transforms vectors from mean equator and equinox +** of date to true equator and equinox of date by applying the +** nutation (luni-solar + planetary). +** +** 8) The matrix rbpn transforms vectors from GCRS to true equator and +** equinox of date. It is the product rn x rbp, applying frame +** bias, precession and nutation in that order. +** +** 9) The X,Y,Z coordinates of the IAU 2000B Celestial Intermediate +** Pole are elements (3,1-3) of the GCRS-to-true matrix, +** i.e. rbpn[2][0-2]. +** +** 10) It is permissible to re-use the same array in the returned +** arguments. The arrays are filled in the stated order. +** +** Called: +** eraNut00b nutation, IAU 2000B +** eraPn00 bias/precession/nutation results, IAU 2000 +** +** Reference: +** +** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., +** "Expressions for the Celestial Intermediate Pole and Celestial +** Ephemeris Origin consistent with the IAU 2000A precession- +** nutation model", Astron.Astrophys. 400, 1145-1154 (2003). +** +** n.b. The celestial ephemeris origin (CEO) was renamed "celestial +** intermediate origin" (CIO) by IAU 2006 Resolution 2. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Nutation. */ + eraNut00b(date1, date2, dpsi, deps); + +/* Remaining results. */ + eraPn00(date1, date2, *dpsi, *deps, epsa, rb, rp, rbp, rn, rbpn); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pn06.c b/ast/erfa/pn06.c new file mode 100644 index 0000000..0d23528 --- /dev/null +++ b/ast/erfa/pn06.c @@ -0,0 +1,196 @@ +#include "erfa.h" + +void eraPn06(double date1, double date2, double dpsi, double deps, + double *epsa, + double rb[3][3], double rp[3][3], double rbp[3][3], + double rn[3][3], double rbpn[3][3]) +/* +** - - - - - - - - +** e r a P n 0 6 +** - - - - - - - - +** +** Precession-nutation, IAU 2006 model: a multi-purpose function, +** supporting classical (equinox-based) use directly and CIO-based use +** indirectly. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** dpsi,deps double nutation (Note 2) +** +** Returned: +** epsa double mean obliquity (Note 3) +** rb double[3][3] frame bias matrix (Note 4) +** rp double[3][3] precession matrix (Note 5) +** rbp double[3][3] bias-precession matrix (Note 6) +** rn double[3][3] nutation matrix (Note 7) +** rbpn double[3][3] GCRS-to-true matrix (Note 8) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The caller is responsible for providing the nutation components; +** they are in longitude and obliquity, in radians and are with +** respect to the equinox and ecliptic of date. For high-accuracy +** applications, free core nutation should be included as well as +** any other relevant corrections to the position of the CIP. +** +** 3) The returned mean obliquity is consistent with the IAU 2006 +** precession. +** +** 4) The matrix rb transforms vectors from GCRS to J2000.0 mean +** equator and equinox by applying frame bias. +** +** 5) The matrix rp transforms vectors from J2000.0 mean equator and +** equinox to mean equator and equinox of date by applying +** precession. +** +** 6) The matrix rbp transforms vectors from GCRS to mean equator and +** equinox of date by applying frame bias then precession. It is +** the product rp x rb. +** +** 7) The matrix rn transforms vectors from mean equator and equinox +** of date to true equator and equinox of date by applying the +** nutation (luni-solar + planetary). +** +** 8) The matrix rbpn transforms vectors from GCRS to true equator and +** equinox of date. It is the product rn x rbp, applying frame +** bias, precession and nutation in that order. +** +** 9) The X,Y,Z coordinates of the Celestial Intermediate Pole are +** elements (3,1-3) of the GCRS-to-true matrix, i.e. rbpn[2][0-2]. +** +** 10) It is permissible to re-use the same array in the returned +** arguments. The arrays are filled in the stated order. +** +** Called: +** eraPfw06 bias-precession F-W angles, IAU 2006 +** eraFw2m F-W angles to r-matrix +** eraCr copy r-matrix +** eraTr transpose r-matrix +** eraRxr product of two r-matrices +** +** References: +** +** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 +** +** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double gamb, phib, psib, eps, r1[3][3], r2[3][3], rt[3][3]; + + +/* Bias-precession Fukushima-Williams angles of J2000.0 = frame bias. */ + eraPfw06(ERFA_DJM0, ERFA_DJM00, &gamb, &phib, &psib, &eps); + +/* B matrix. */ + eraFw2m(gamb, phib, psib, eps, r1); + eraCr(r1, rb); + +/* Bias-precession Fukushima-Williams angles of date. */ + eraPfw06(date1, date2, &gamb, &phib, &psib, &eps); + +/* Bias-precession matrix. */ + eraFw2m(gamb, phib, psib, eps, r2); + eraCr(r2, rbp); + +/* Solve for precession matrix. */ + eraTr(r1, rt); + eraRxr(r2, rt, rp); + +/* Equinox-based bias-precession-nutation matrix. */ + eraFw2m(gamb, phib, psib + dpsi, eps + deps, r1); + eraCr(r1, rbpn); + +/* Solve for nutation matrix. */ + eraTr(r2, rt); + eraRxr(r1, rt, rn); + +/* Obliquity, mean of date. */ + *epsa = eps; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pn06a.c b/ast/erfa/pn06a.c new file mode 100644 index 0000000..5a7f958 --- /dev/null +++ b/ast/erfa/pn06a.c @@ -0,0 +1,162 @@ +#include "erfa.h" + +void eraPn06a(double date1, double date2, + double *dpsi, double *deps, double *epsa, + double rb[3][3], double rp[3][3], double rbp[3][3], + double rn[3][3], double rbpn[3][3]) +/* +** - - - - - - - - - +** e r a P n 0 6 a +** - - - - - - - - - +** +** Precession-nutation, IAU 2006/2000A models: a multi-purpose function, +** supporting classical (equinox-based) use directly and CIO-based use +** indirectly. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** dpsi,deps double nutation (Note 2) +** epsa double mean obliquity (Note 3) +** rb double[3][3] frame bias matrix (Note 4) +** rp double[3][3] precession matrix (Note 5) +** rbp double[3][3] bias-precession matrix (Note 6) +** rn double[3][3] nutation matrix (Note 7) +** rbpn double[3][3] GCRS-to-true matrix (Notes 8,9) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The nutation components (luni-solar + planetary, IAU 2000A) in +** longitude and obliquity are in radians and with respect to the +** equinox and ecliptic of date. Free core nutation is omitted; +** for the utmost accuracy, use the eraPn06 function, where the +** nutation components are caller-specified. +** +** 3) The mean obliquity is consistent with the IAU 2006 precession. +** +** 4) The matrix rb transforms vectors from GCRS to mean J2000.0 by +** applying frame bias. +** +** 5) The matrix rp transforms vectors from mean J2000.0 to mean of +** date by applying precession. +** +** 6) The matrix rbp transforms vectors from GCRS to mean of date by +** applying frame bias then precession. It is the product rp x rb. +** +** 7) The matrix rn transforms vectors from mean of date to true of +** date by applying the nutation (luni-solar + planetary). +** +** 8) The matrix rbpn transforms vectors from GCRS to true of date +** (CIP/equinox). It is the product rn x rbp, applying frame bias, +** precession and nutation in that order. +** +** 9) The X,Y,Z coordinates of the IAU 2006/2000A Celestial +** Intermediate Pole are elements (3,1-3) of the GCRS-to-true +** matrix, i.e. rbpn[2][0-2]. +** +** 10) It is permissible to re-use the same array in the returned +** arguments. The arrays are filled in the stated order. +** +** Called: +** eraNut06a nutation, IAU 2006/2000A +** eraPn06 bias/precession/nutation results, IAU 2006 +** +** Reference: +** +** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Nutation. */ + eraNut06a(date1, date2, dpsi, deps); + +/* Remaining results. */ + eraPn06(date1, date2, *dpsi, *deps, epsa, rb, rp, rbp, rn, rbpn); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pnm00a.c b/ast/erfa/pnm00a.c new file mode 100644 index 0000000..a53b3c7 --- /dev/null +++ b/ast/erfa/pnm00a.c @@ -0,0 +1,130 @@ +#include "erfa.h" + +void eraPnm00a(double date1, double date2, double rbpn[3][3]) +/* +** - - - - - - - - - - +** e r a P n m 0 0 a +** - - - - - - - - - - +** +** Form the matrix of precession-nutation for a given date (including +** frame bias), equinox-based, IAU 2000A model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** rbpn double[3][3] classical NPB matrix (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix operates in the sense V(date) = rbpn * V(GCRS), where +** the p-vector V(date) is with respect to the true equatorial triad +** of date date1+date2 and the p-vector V(GCRS) is with respect to +** the Geocentric Celestial Reference System (IAU, 2000). +** +** 3) A faster, but slightly less accurate result (about 1 mas), can be +** obtained by using instead the eraPnm00b function. +** +** Called: +** eraPn00a bias/precession/nutation, IAU 2000A +** +** Reference: +** +** IAU: Trans. International Astronomical Union, Vol. XXIVB; Proc. +** 24th General Assembly, Manchester, UK. Resolutions B1.3, B1.6. +** (2000) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dpsi, deps, epsa, rb[3][3], rp[3][3], rbp[3][3], rn[3][3]; + + +/* Obtain the required matrix (discarding other results). */ + eraPn00a(date1, date2, &dpsi, &deps, &epsa, rb, rp, rbp, rn, rbpn); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pnm00b.c b/ast/erfa/pnm00b.c new file mode 100644 index 0000000..9acecbe --- /dev/null +++ b/ast/erfa/pnm00b.c @@ -0,0 +1,130 @@ +#include "erfa.h" + +void eraPnm00b(double date1, double date2, double rbpn[3][3]) +/* +** - - - - - - - - - - +** e r a P n m 0 0 b +** - - - - - - - - - - +** +** Form the matrix of precession-nutation for a given date (including +** frame bias), equinox-based, IAU 2000B model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** rbpn double[3][3] bias-precession-nutation matrix (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix operates in the sense V(date) = rbpn * V(GCRS), where +** the p-vector V(date) is with respect to the true equatorial triad +** of date date1+date2 and the p-vector V(GCRS) is with respect to +** the Geocentric Celestial Reference System (IAU, 2000). +** +** 3) The present function is faster, but slightly less accurate (about +** 1 mas), than the eraPnm00a function. +** +** Called: +** eraPn00b bias/precession/nutation, IAU 2000B +** +** Reference: +** +** IAU: Trans. International Astronomical Union, Vol. XXIVB; Proc. +** 24th General Assembly, Manchester, UK. Resolutions B1.3, B1.6. +** (2000) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dpsi, deps, epsa, rb[3][3], rp[3][3], rbp[3][3], rn[3][3]; + + +/* Obtain the required matrix (discarding other results). */ + eraPn00b(date1, date2, &dpsi, &deps, &epsa, rb, rp, rbp, rn, rbpn); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pnm06a.c b/ast/erfa/pnm06a.c new file mode 100644 index 0000000..7801234 --- /dev/null +++ b/ast/erfa/pnm06a.c @@ -0,0 +1,133 @@ +#include "erfa.h" + +void eraPnm06a(double date1, double date2, double rnpb[3][3]) +/* +** - - - - - - - - - - +** e r a P n m 0 6 a +** - - - - - - - - - - +** +** Form the matrix of precession-nutation for a given date (including +** frame bias), IAU 2006 precession and IAU 2000A nutation models. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** rnpb double[3][3] bias-precession-nutation matrix (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix operates in the sense V(date) = rnpb * V(GCRS), where +** the p-vector V(date) is with respect to the true equatorial triad +** of date date1+date2 and the p-vector V(GCRS) is with respect to +** the Geocentric Celestial Reference System (IAU, 2000). +** +** Called: +** eraPfw06 bias-precession F-W angles, IAU 2006 +** eraNut06a nutation, IAU 2006/2000A +** eraFw2m F-W angles to r-matrix +** +** Reference: +** +** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double gamb, phib, psib, epsa, dp, de; + + +/* Fukushima-Williams angles for frame bias and precession. */ + eraPfw06(date1, date2, &gamb, &phib, &psib, &epsa); + +/* Nutation components. */ + eraNut06a(date1, date2, &dp, &de); + +/* Equinox based nutation x precession x bias matrix. */ + eraFw2m(gamb, phib, psib + dp, epsa + de, rnpb); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pnm80.c b/ast/erfa/pnm80.c new file mode 100644 index 0000000..ced1834 --- /dev/null +++ b/ast/erfa/pnm80.c @@ -0,0 +1,135 @@ +#include "erfa.h" + +void eraPnm80(double date1, double date2, double rmatpn[3][3]) +/* +** - - - - - - - - - +** e r a P n m 8 0 +** - - - - - - - - - +** +** Form the matrix of precession/nutation for a given date, IAU 1976 +** precession model, IAU 1980 nutation model. +** +** Given: +** date1,date2 double TDB date (Note 1) +** +** Returned: +** rmatpn double[3][3] combined precession/nutation matrix +** +** Notes: +** +** 1) The TDB date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TDB)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The matrix operates in the sense V(date) = rmatpn * V(J2000), +** where the p-vector V(date) is with respect to the true equatorial +** triad of date date1+date2 and the p-vector V(J2000) is with +** respect to the mean equatorial triad of epoch J2000.0. +** +** Called: +** eraPmat76 precession matrix, IAU 1976 +** eraNutm80 nutation matrix, IAU 1980 +** eraRxr product of two r-matrices +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992), +** Section 3.3 (p145). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rmatp[3][3], rmatn[3][3]; + + +/* Precession matrix, J2000.0 to date. */ + eraPmat76(date1, date2, rmatp); + +/* Nutation matrix. */ + eraNutm80(date1, date2, rmatn); + +/* Combine the matrices: PN = N x P. */ + eraRxr(rmatn, rmatp, rmatpn); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pom00.c b/ast/erfa/pom00.c new file mode 100644 index 0000000..3606a90 --- /dev/null +++ b/ast/erfa/pom00.c @@ -0,0 +1,124 @@ +#include "erfa.h" + +void eraPom00(double xp, double yp, double sp, double rpom[3][3]) +/* +** - - - - - - - - - - +** e r a P o m 0 0 +** - - - - - - - - - - +** +** Form the matrix of polar motion for a given date, IAU 2000. +** +** Given: +** xp,yp double coordinates of the pole (radians, Note 1) +** sp double the TIO locator s' (radians, Note 2) +** +** Returned: +** rpom double[3][3] polar-motion matrix (Note 3) +** +** Notes: +** +** 1) The arguments xp and yp are the coordinates (in radians) of the +** Celestial Intermediate Pole with respect to the International +** Terrestrial Reference System (see IERS Conventions 2003), +** measured along the meridians to 0 and 90 deg west respectively. +** +** 2) The argument sp is the TIO locator s', in radians, which +** positions the Terrestrial Intermediate Origin on the equator. It +** is obtained from polar motion observations by numerical +** integration, and so is in essence unpredictable. However, it is +** dominated by a secular drift of about 47 microarcseconds per +** century, and so can be taken into account by using s' = -47*t, +** where t is centuries since J2000.0. The function eraSp00 +** implements this approximation. +** +** 3) The matrix operates in the sense V(TRS) = rpom * V(CIP), meaning +** that it is the final rotation when computing the pointing +** direction to a celestial source. +** +** Called: +** eraIr initialize r-matrix to identity +** eraRz rotate around Z-axis +** eraRy rotate around Y-axis +** eraRx rotate around X-axis +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* Construct the matrix. */ + eraIr(rpom); + eraRz(sp, rpom); + eraRy(-xp, rpom); + eraRx(-yp, rpom); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ppp.c b/ast/erfa/ppp.c new file mode 100644 index 0000000..87ff430 --- /dev/null +++ b/ast/erfa/ppp.c @@ -0,0 +1,94 @@ +#include "erfa.h" + +void eraPpp(double a[3], double b[3], double apb[3]) +/* +** - - - - - - - +** e r a P p p +** - - - - - - - +** +** P-vector addition. +** +** Given: +** a double[3] first p-vector +** b double[3] second p-vector +** +** Returned: +** apb double[3] a + b +** +** Note: +** It is permissible to re-use the same array for any of the +** arguments. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + apb[0] = a[0] + b[0]; + apb[1] = a[1] + b[1]; + apb[2] = a[2] + b[2]; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ppsp.c b/ast/erfa/ppsp.c new file mode 100644 index 0000000..fa86b00 --- /dev/null +++ b/ast/erfa/ppsp.c @@ -0,0 +1,103 @@ +#include "erfa.h" + +void eraPpsp(double a[3], double s, double b[3], double apsb[3]) +/* +** - - - - - - - - +** e r a P p s p +** - - - - - - - - +** +** P-vector plus scaled p-vector. +** +** Given: +** a double[3] first p-vector +** s double scalar (multiplier for b) +** b double[3] second p-vector +** +** Returned: +** apsb double[3] a + s*b +** +** Note: +** It is permissible for any of a, b and apsb to be the same array. +** +** Called: +** eraSxp multiply p-vector by scalar +** eraPpp p-vector plus p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double sb[3]; + + +/* s*b. */ + eraSxp(s, b, sb); + +/* a + s*b. */ + eraPpp(a, sb, apsb); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pr00.c b/ast/erfa/pr00.c new file mode 100644 index 0000000..3477ad3 --- /dev/null +++ b/ast/erfa/pr00.c @@ -0,0 +1,151 @@ +#include "erfa.h" + +void eraPr00(double date1, double date2, double *dpsipr, double *depspr) +/* +** - - - - - - - - +** e r a P r 0 0 +** - - - - - - - - +** +** Precession-rate part of the IAU 2000 precession-nutation models +** (part of MHB2000). +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** dpsipr,depspr double precession corrections (Notes 2,3) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The precession adjustments are expressed as "nutation +** components", corrections in longitude and obliquity with respect +** to the J2000.0 equinox and ecliptic. +** +** 3) Although the precession adjustments are stated to be with respect +** to Lieske et al. (1977), the MHB2000 model does not specify which +** set of Euler angles are to be used and how the adjustments are to +** be applied. The most literal and straightforward procedure is to +** adopt the 4-rotation epsilon_0, psi_A, omega_A, xi_A option, and +** to add dpsipr to psi_A and depspr to both omega_A and eps_A. +** +** 4) This is an implementation of one aspect of the IAU 2000A nutation +** model, formally adopted by the IAU General Assembly in 2000, +** namely MHB2000 (Mathews et al. 2002). +** +** References: +** +** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B., "Expressions +** for the precession quantities based upon the IAU (1976) System of +** Astronomical Constants", Astron.Astrophys., 58, 1-16 (1977) +** +** Mathews, P.M., Herring, T.A., Buffet, B.A., "Modeling of nutation +** and precession New nutation series for nonrigid Earth and +** insights into the Earth's interior", J.Geophys.Res., 107, B4, +** 2002. The MHB2000 code itself was obtained on 9th September 2002 +** from ftp://maia.usno.navy.mil/conv2000/chapter5/IAU2000A. +** +** Wallace, P.T., "Software for Implementing the IAU 2000 +** Resolutions", in IERS Workshop 5.1 (2002). +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t; + +/* Precession and obliquity corrections (radians per century) */ + static const double PRECOR = -0.29965 * ERFA_DAS2R, + OBLCOR = -0.02524 * ERFA_DAS2R; + + +/* Interval between fundamental epoch J2000.0 and given date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* Precession rate contributions with respect to IAU 1976/80. */ + *dpsipr = PRECOR * t; + *depspr = OBLCOR * t; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/prec76.c b/ast/erfa/prec76.c new file mode 100644 index 0000000..ef6cc96 --- /dev/null +++ b/ast/erfa/prec76.c @@ -0,0 +1,157 @@ +#include "erfa.h" + +void eraPrec76(double date01, double date02, double date11, double date12, + double *zeta, double *z, double *theta) +/* +** - - - - - - - - - - +** e r a P r e c 7 6 +** - - - - - - - - - - +** +** IAU 1976 precession model. +** +** This function forms the three Euler angles which implement general +** precession between two dates, using the IAU 1976 model (as for the +** FK5 catalog). +** +** Given: +** date01,date02 double TDB starting date (Note 1) +** date11,date12 double TDB ending date (Note 1) +** +** Returned: +** zeta double 1st rotation: radians cw around z +** z double 3rd rotation: radians cw around z +** theta double 2nd rotation: radians ccw around y +** +** Notes: +** +** 1) The dates date01+date02 and date11+date12 are Julian Dates, +** apportioned in any convenient way between the arguments daten1 +** and daten2. For example, JD(TDB)=2450123.7 could be expressed in +** any of these ways, among others: +** +** daten1 daten2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in cases +** where the loss of several decimal digits of resolution is +** acceptable. The J2000 method is best matched to the way the +** argument is handled internally and will deliver the optimum +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** The two dates may be expressed using different methods, but at +** the risk of losing some resolution. +** +** 2) The accumulated precession angles zeta, z, theta are expressed +** through canonical polynomials which are valid only for a limited +** time span. In addition, the IAU 1976 precession rate is known to +** be imperfect. The absolute accuracy of the present formulation +** is better than 0.1 arcsec from 1960AD to 2040AD, better than +** 1 arcsec from 1640AD to 2360AD, and remains below 3 arcsec for +** the whole of the period 500BC to 3000AD. The errors exceed +** 10 arcsec outside the range 1200BC to 3900AD, exceed 100 arcsec +** outside 4200BC to 5600AD and exceed 1000 arcsec outside 6800BC to +** 8200AD. +** +** 3) The three angles are returned in the conventional order, which +** is not the same as the order of the corresponding Euler +** rotations. The precession matrix is +** R_3(-z) x R_2(+theta) x R_3(-zeta). +** +** Reference: +** +** Lieske, J.H., 1979, Astron.Astrophys. 73, 282, equations +** (6) & (7), p283. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t0, t, tas2r, w; + + +/* Interval between fundamental epoch J2000.0 and start date (JC). */ + t0 = ((date01 - ERFA_DJ00) + date02) / ERFA_DJC; + +/* Interval over which precession required (JC). */ + t = ((date11 - date01) + (date12 - date02)) / ERFA_DJC; + +/* Euler angles. */ + tas2r = t * ERFA_DAS2R; + w = 2306.2181 + (1.39656 - 0.000139 * t0) * t0; + + *zeta = (w + ((0.30188 - 0.000344 * t0) + 0.017998 * t) * t) * tas2r; + + *z = (w + ((1.09468 + 0.000066 * t0) + 0.018203 * t) * t) * tas2r; + + *theta = ((2004.3109 + (-0.85330 - 0.000217 * t0) * t0) + + ((-0.42665 - 0.000217 * t0) - 0.041833 * t) * t) * tas2r; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pv2p.c b/ast/erfa/pv2p.c new file mode 100644 index 0000000..4218ee0 --- /dev/null +++ b/ast/erfa/pv2p.c @@ -0,0 +1,90 @@ +#include "erfa.h" + +void eraPv2p(double pv[2][3], double p[3]) +/* +** - - - - - - - - +** e r a P v 2 p +** - - - - - - - - +** +** Discard velocity component of a pv-vector. +** +** Given: +** pv double[2][3] pv-vector +** +** Returned: +** p double[3] p-vector +** +** Called: +** eraCp copy p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraCp(pv[0], p); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pv2s.c b/ast/erfa/pv2s.c new file mode 100644 index 0000000..7ed8db2 --- /dev/null +++ b/ast/erfa/pv2s.c @@ -0,0 +1,153 @@ +#include "erfa.h" + +void eraPv2s(double pv[2][3], + double *theta, double *phi, double *r, + double *td, double *pd, double *rd) +/* +** - - - - - - - - +** e r a P v 2 s +** - - - - - - - - +** +** Convert position/velocity from Cartesian to spherical coordinates. +** +** Given: +** pv double[2][3] pv-vector +** +** Returned: +** theta double longitude angle (radians) +** phi double latitude angle (radians) +** r double radial distance +** td double rate of change of theta +** pd double rate of change of phi +** rd double rate of change of r +** +** Notes: +** +** 1) If the position part of pv is null, theta, phi, td and pd +** are indeterminate. This is handled by extrapolating the +** position through unit time by using the velocity part of +** pv. This moves the origin without changing the direction +** of the velocity component. If the position and velocity +** components of pv are both null, zeroes are returned for all +** six results. +** +** 2) If the position is a pole, theta, td and pd are indeterminate. +** In such cases zeroes are returned for all three. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double x, y, z, xd, yd, zd, rxy2, rxy, r2, rtrue, rw, xyp; + + +/* Components of position/velocity vector. */ + x = pv[0][0]; + y = pv[0][1]; + z = pv[0][2]; + xd = pv[1][0]; + yd = pv[1][1]; + zd = pv[1][2]; + +/* Component of r in XY plane squared. */ + rxy2 = x*x + y*y; + +/* Modulus squared. */ + r2 = rxy2 + z*z; + +/* Modulus. */ + rtrue = sqrt(r2); + +/* If null vector, move the origin along the direction of movement. */ + rw = rtrue; + if (rtrue == 0.0) { + x = xd; + y = yd; + z = zd; + rxy2 = x*x + y*y; + r2 = rxy2 + z*z; + rw = sqrt(r2); + } + +/* Position and velocity in spherical coordinates. */ + rxy = sqrt(rxy2); + xyp = x*xd + y*yd; + if (rxy2 != 0.0) { + *theta = atan2(y, x); + *phi = atan2(z, rxy); + *td = (x*yd - y*xd) / rxy2; + *pd = (zd*rxy2 - z*xyp) / (r2*rxy); + } else { + *theta = 0.0; + *phi = (z != 0.0) ? atan2(z, rxy) : 0.0; + *td = 0.0; + *pd = 0.0; + } + *r = rtrue; + *rd = (rw != 0.0) ? (xyp + z*zd) / rw : 0.0; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pvdpv.c b/ast/erfa/pvdpv.c new file mode 100644 index 0000000..2f01707 --- /dev/null +++ b/ast/erfa/pvdpv.c @@ -0,0 +1,111 @@ +#include "erfa.h" + +void eraPvdpv(double a[2][3], double b[2][3], double adb[2]) +/* +** - - - - - - - - - +** e r a P v d p v +** - - - - - - - - - +** +** Inner (=scalar=dot) product of two pv-vectors. +** +** Given: +** a double[2][3] first pv-vector +** b double[2][3] second pv-vector +** +** Returned: +** adb double[2] a . b (see note) +** +** Note: +** +** If the position and velocity components of the two pv-vectors are +** ( ap, av ) and ( bp, bv ), the result, a . b, is the pair of +** numbers ( ap . bp , ap . bv + av . bp ). The two numbers are the +** dot-product of the two p-vectors and its derivative. +** +** Called: +** eraPdp scalar product of two p-vectors +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double adbd, addb; + + +/* a . b = constant part of result. */ + adb[0] = eraPdp(a[0], b[0]); + +/* a . bdot */ + adbd = eraPdp(a[0], b[1]); + +/* adot . b */ + addb = eraPdp(a[1], b[0]); + +/* Velocity part of result. */ + adb[1] = adbd + addb; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pvm.c b/ast/erfa/pvm.c new file mode 100644 index 0000000..cfd9c3e --- /dev/null +++ b/ast/erfa/pvm.c @@ -0,0 +1,95 @@ +#include "erfa.h" + +void eraPvm(double pv[2][3], double *r, double *s) +/* +** - - - - - - - +** e r a P v m +** - - - - - - - +** +** Modulus of pv-vector. +** +** Given: +** pv double[2][3] pv-vector +** +** Returned: +** r double modulus of position component +** s double modulus of velocity component +** +** Called: +** eraPm modulus of p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Distance. */ + *r = eraPm(pv[0]); + +/* Speed. */ + *s = eraPm(pv[1]); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pvmpv.c b/ast/erfa/pvmpv.c new file mode 100644 index 0000000..f91f5fe --- /dev/null +++ b/ast/erfa/pvmpv.c @@ -0,0 +1,96 @@ +#include "erfa.h" + +void eraPvmpv(double a[2][3], double b[2][3], double amb[2][3]) +/* +** - - - - - - - - - +** e r a P v m p v +** - - - - - - - - - +** +** Subtract one pv-vector from another. +** +** Given: +** a double[2][3] first pv-vector +** b double[2][3] second pv-vector +** +** Returned: +** amb double[2][3] a - b +** +** Note: +** It is permissible to re-use the same array for any of the +** arguments. +** +** Called: +** eraPmp p-vector minus p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraPmp(a[0], b[0], amb[0]); + eraPmp(a[1], b[1], amb[1]); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pvppv.c b/ast/erfa/pvppv.c new file mode 100644 index 0000000..4ab89a7 --- /dev/null +++ b/ast/erfa/pvppv.c @@ -0,0 +1,96 @@ +#include "erfa.h" + +void eraPvppv(double a[2][3], double b[2][3], double apb[2][3]) +/* +** - - - - - - - - - +** e r a P v p p v +** - - - - - - - - - +** +** Add one pv-vector to another. +** +** Given: +** a double[2][3] first pv-vector +** b double[2][3] second pv-vector +** +** Returned: +** apb double[2][3] a + b +** +** Note: +** It is permissible to re-use the same array for any of the +** arguments. +** +** Called: +** eraPpp p-vector plus p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraPpp(a[0], b[0], apb[0]); + eraPpp(a[1], b[1], apb[1]); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pvstar.c b/ast/erfa/pvstar.c new file mode 100644 index 0000000..49b1b67 --- /dev/null +++ b/ast/erfa/pvstar.c @@ -0,0 +1,216 @@ +#include "erfa.h" + +int eraPvstar(double pv[2][3], double *ra, double *dec, + double *pmr, double *pmd, double *px, double *rv) +/* +** - - - - - - - - - - +** e r a P v s t a r +** - - - - - - - - - - +** +** Convert star position+velocity vector to catalog coordinates. +** +** Given (Note 1): +** pv double[2][3] pv-vector (AU, AU/day) +** +** Returned (Note 2): +** ra double right ascension (radians) +** dec double declination (radians) +** pmr double RA proper motion (radians/year) +** pmd double Dec proper motion (radians/year) +** px double parallax (arcsec) +** rv double radial velocity (km/s, positive = receding) +** +** Returned (function value): +** int status: +** 0 = OK +** -1 = superluminal speed (Note 5) +** -2 = null position vector +** +** Notes: +** +** 1) The specified pv-vector is the coordinate direction (and its rate +** of change) for the date at which the light leaving the star +** reached the solar-system barycenter. +** +** 2) The star data returned by this function are "observables" for an +** imaginary observer at the solar-system barycenter. Proper motion +** and radial velocity are, strictly, in terms of barycentric +** coordinate time, TCB. For most practical applications, it is +** permissible to neglect the distinction between TCB and ordinary +** "proper" time on Earth (TT/TAI). The result will, as a rule, be +** limited by the intrinsic accuracy of the proper-motion and +** radial-velocity data; moreover, the supplied pv-vector is likely +** to be merely an intermediate result (for example generated by the +** function eraStarpv), so that a change of time unit will cancel +** out overall. +** +** In accordance with normal star-catalog conventions, the object's +** right ascension and declination are freed from the effects of +** secular aberration. The frame, which is aligned to the catalog +** equator and equinox, is Lorentzian and centered on the SSB. +** +** Summarizing, the specified pv-vector is for most stars almost +** identical to the result of applying the standard geometrical +** "space motion" transformation to the catalog data. The +** differences, which are the subject of the Stumpff paper cited +** below, are: +** +** (i) In stars with significant radial velocity and proper motion, +** the constantly changing light-time distorts the apparent proper +** motion. Note that this is a classical, not a relativistic, +** effect. +** +** (ii) The transformation complies with special relativity. +** +** 3) Care is needed with units. The star coordinates are in radians +** and the proper motions in radians per Julian year, but the +** parallax is in arcseconds; the radial velocity is in km/s, but +** the pv-vector result is in AU and AU/day. +** +** 4) The proper motions are the rate of change of the right ascension +** and declination at the catalog epoch and are in radians per Julian +** year. The RA proper motion is in terms of coordinate angle, not +** true angle, and will thus be numerically larger at high +** declinations. +** +** 5) Straight-line motion at constant speed in the inertial frame is +** assumed. If the speed is greater than or equal to the speed of +** light, the function aborts with an error status. +** +** 6) The inverse transformation is performed by the function eraStarpv. +** +** Called: +** eraPn decompose p-vector into modulus and direction +** eraPdp scalar product of two p-vectors +** eraSxp multiply p-vector by scalar +** eraPmp p-vector minus p-vector +** eraPm modulus of p-vector +** eraPpp p-vector plus p-vector +** eraPv2s pv-vector to spherical +** eraAnp normalize angle into range 0 to 2pi +** +** Reference: +** +** Stumpff, P., 1985, Astron.Astrophys. 144, 232-240. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double r, x[3], vr, ur[3], vt, ut[3], bett, betr, d, w, del, + usr[3], ust[3], a, rad, decd, rd; + + +/* Isolate the radial component of the velocity (AU/day, inertial). */ + eraPn(pv[0], &r, x); + vr = eraPdp(x, pv[1]); + eraSxp(vr, x, ur); + +/* Isolate the transverse component of the velocity (AU/day, inertial). */ + eraPmp(pv[1], ur, ut); + vt = eraPm(ut); + +/* Special-relativity dimensionless parameters. */ + bett = vt / ERFA_DC; + betr = vr / ERFA_DC; + +/* The inertial-to-observed correction terms. */ + d = 1.0 + betr; + w = 1.0 - betr*betr - bett*bett; + if (d == 0.0 || w < 0) return -1; + del = sqrt(w) - 1.0; + +/* Apply relativistic correction factor to radial velocity component. */ + w = (betr != 0) ? (betr - del) / (betr * d) : 1.0; + eraSxp(w, ur, usr); + +/* Apply relativistic correction factor to tangential velocity */ +/* component. */ + eraSxp(1.0/d, ut, ust); + +/* Combine the two to obtain the observed velocity vector (AU/day). */ + eraPpp(usr, ust, pv[1]); + +/* Cartesian to spherical. */ + eraPv2s(pv, &a, dec, &r, &rad, &decd, &rd); + if (r == 0.0) return -2; + +/* Return RA in range 0 to 2pi. */ + *ra = eraAnp(a); + +/* Return proper motions in radians per year. */ + *pmr = rad * ERFA_DJY; + *pmd = decd * ERFA_DJY; + +/* Return parallax in arcsec. */ + *px = ERFA_DR2AS / r; + +/* Return radial velocity in km/s. */ + *rv = 1e-3 * rd * ERFA_DAU / ERFA_DAYSEC; + +/* OK status. */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pvtob.c b/ast/erfa/pvtob.c new file mode 100644 index 0000000..f808be7 --- /dev/null +++ b/ast/erfa/pvtob.c @@ -0,0 +1,162 @@ +#include "erfa.h" + +void eraPvtob(double elong, double phi, double hm, + double xp, double yp, double sp, double theta, + double pv[2][3]) +/* +** - - - - - - - - - +** e r a P v t o b +** - - - - - - - - - +** +** Position and velocity of a terrestrial observing station. +** +** Given: +** elong double longitude (radians, east +ve, Note 1) +** phi double latitude (geodetic, radians, Note 1) +** hm double height above ref. ellipsoid (geodetic, m) +** xp,yp double coordinates of the pole (radians, Note 2) +** sp double the TIO locator s' (radians, Note 2) +** theta double Earth rotation angle (radians, Note 3) +** +** Returned: +** pv double[2][3] position/velocity vector (m, m/s, CIRS) +** +** Notes: +** +** 1) The terrestrial coordinates are with respect to the ERFA_WGS84 +** reference ellipsoid. +** +** 2) xp and yp are the coordinates (in radians) of the Celestial +** Intermediate Pole with respect to the International Terrestrial +** Reference System (see IERS Conventions), measured along the +** meridians 0 and 90 deg west respectively. sp is the TIO locator +** s', in radians, which positions the Terrestrial Intermediate +** Origin on the equator. For many applications, xp, yp and +** (especially) sp can be set to zero. +** +** 3) If theta is Greenwich apparent sidereal time instead of Earth +** rotation angle, the result is with respect to the true equator +** and equinox of date, i.e. with the x-axis at the equinox rather +** than the celestial intermediate origin. +** +** 4) The velocity units are meters per UT1 second, not per SI second. +** This is unlikely to have any practical consequences in the modern +** era. +** +** 5) No validation is performed on the arguments. Error cases that +** could lead to arithmetic exceptions are trapped by the eraGd2gc +** function, and the result set to zeros. +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to +** the Astronomical Almanac, 3rd ed., University Science Books +** (2013), Section 7.4.3.3. +** +** Called: +** eraGd2gc geodetic to geocentric transformation +** eraPom00 polar motion matrix +** eraTrxp product of transpose of r-matrix and p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Earth rotation rate in radians per UT1 second */ + const double OM = 1.00273781191135448 * ERFA_D2PI / ERFA_DAYSEC; + + double xyzm[3], rpm[3][3], xyz[3], x, y, z, s, c; + + +/* Geodetic to geocentric transformation (ERFA_WGS84). */ + (void) eraGd2gc(1, elong, phi, hm, xyzm); + +/* Polar motion and TIO position. */ + eraPom00(xp, yp, sp, rpm); + eraTrxp(rpm, xyzm, xyz); + x = xyz[0]; + y = xyz[1]; + z = xyz[2]; + +/* Functions of ERA. */ + s = sin(theta); + c = cos(theta); + +/* Position. */ + pv[0][0] = c*x - s*y; + pv[0][1] = s*x + c*y; + pv[0][2] = z; + +/* Velocity. */ + pv[1][0] = OM * ( -s*x - c*y ); + pv[1][1] = OM * ( c*x - s*y ); + pv[1][2] = 0.0; + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pvu.c b/ast/erfa/pvu.c new file mode 100644 index 0000000..8b469d0 --- /dev/null +++ b/ast/erfa/pvu.c @@ -0,0 +1,102 @@ +#include "erfa.h" + +void eraPvu(double dt, double pv[2][3], double upv[2][3]) +/* +** - - - - - - - +** e r a P v u +** - - - - - - - +** +** Update a pv-vector. +** +** Given: +** dt double time interval +** pv double[2][3] pv-vector +** +** Returned: +** upv double[2][3] p updated, v unchanged +** +** Notes: +** +** 1) "Update" means "refer the position component of the vector +** to a new date dt time units from the existing date". +** +** 2) The time units of dt must match those of the velocity. +** +** 3) It is permissible for pv and upv to be the same array. +** +** Called: +** eraPpsp p-vector plus scaled p-vector +** eraCp copy p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraPpsp(pv[0], dt, pv[1], upv[0]); + eraCp(pv[1], upv[1]); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pvup.c b/ast/erfa/pvup.c new file mode 100644 index 0000000..d820be8 --- /dev/null +++ b/ast/erfa/pvup.c @@ -0,0 +1,97 @@ +#include "erfa.h" + +void eraPvup(double dt, double pv[2][3], double p[3]) +/* +** - - - - - - - - +** e r a P v u p +** - - - - - - - - +** +** Update a pv-vector, discarding the velocity component. +** +** Given: +** dt double time interval +** pv double[2][3] pv-vector +** +** Returned: +** p double[3] p-vector +** +** Notes: +** +** 1) "Update" means "refer the position component of the vector to a +** new date dt time units from the existing date". +** +** 2) The time units of dt must match those of the velocity. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + p[0] = pv[0][0] + dt * pv[1][0]; + p[1] = pv[0][1] + dt * pv[1][1]; + p[2] = pv[0][2] + dt * pv[1][2]; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pvxpv.c b/ast/erfa/pvxpv.c new file mode 100644 index 0000000..fcea173 --- /dev/null +++ b/ast/erfa/pvxpv.c @@ -0,0 +1,116 @@ +#include "erfa.h" + +void eraPvxpv(double a[2][3], double b[2][3], double axb[2][3]) +/* +** - - - - - - - - - +** e r a P v x p v +** - - - - - - - - - +** +** Outer (=vector=cross) product of two pv-vectors. +** +** Given: +** a double[2][3] first pv-vector +** b double[2][3] second pv-vector +** +** Returned: +** axb double[2][3] a x b +** +** Notes: +** +** 1) If the position and velocity components of the two pv-vectors are +** ( ap, av ) and ( bp, bv ), the result, a x b, is the pair of +** vectors ( ap x bp, ap x bv + av x bp ). The two vectors are the +** cross-product of the two p-vectors and its derivative. +** +** 2) It is permissible to re-use the same array for any of the +** arguments. +** +** Called: +** eraCpv copy pv-vector +** eraPxp vector product of two p-vectors +** eraPpp p-vector plus p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double wa[2][3], wb[2][3], axbd[3], adxb[3]; + + +/* Make copies of the inputs. */ + eraCpv(a, wa); + eraCpv(b, wb); + +/* a x b = position part of result. */ + eraPxp(wa[0], wb[0], axb[0]); + +/* a x bdot + adot x b = velocity part of result. */ + eraPxp(wa[0], wb[1], axbd); + eraPxp(wa[1], wb[0], adxb); + eraPpp(axbd, adxb, axb[1]); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/pxp.c b/ast/erfa/pxp.c new file mode 100644 index 0000000..32a224f --- /dev/null +++ b/ast/erfa/pxp.c @@ -0,0 +1,103 @@ +#include "erfa.h" + +void eraPxp(double a[3], double b[3], double axb[3]) +/* +** - - - - - - - +** e r a P x p +** - - - - - - - +** +** p-vector outer (=vector=cross) product. +** +** Given: +** a double[3] first p-vector +** b double[3] second p-vector +** +** Returned: +** axb double[3] a x b +** +** Note: +** It is permissible to re-use the same array for any of the +** arguments. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double xa, ya, za, xb, yb, zb; + + + xa = a[0]; + ya = a[1]; + za = a[2]; + xb = b[0]; + yb = b[1]; + zb = b[2]; + axb[0] = ya*zb - za*yb; + axb[1] = za*xb - xa*zb; + axb[2] = xa*yb - ya*xb; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/refco.c b/ast/erfa/refco.c new file mode 100644 index 0000000..8c228d1 --- /dev/null +++ b/ast/erfa/refco.c @@ -0,0 +1,262 @@ +#include "erfa.h" + +void eraRefco(double phpa, double tc, double rh, double wl, + double *refa, double *refb) +/* +** - - - - - - - - - +** e r a R e f c o +** - - - - - - - - - +** +** Determine the constants A and B in the atmospheric refraction model +** dZ = A tan Z + B tan^3 Z. +** +** Z is the "observed" zenith distance (i.e. affected by refraction) +** and dZ is what to add to Z to give the "topocentric" (i.e. in vacuo) +** zenith distance. +** +** Given: +** phpa double pressure at the observer (hPa = millibar) +** tc double ambient temperature at the observer (deg C) +** rh double relative humidity at the observer (range 0-1) +** wl double wavelength (micrometers) +** +** Returned: +** refa double* tan Z coefficient (radians) +** refb double* tan^3 Z coefficient (radians) +** +** Notes: +** +** 1) The model balances speed and accuracy to give good results in +** applications where performance at low altitudes is not paramount. +** Performance is maintained across a range of conditions, and +** applies to both optical/IR and radio. +** +** 2) The model omits the effects of (i) height above sea level (apart +** from the reduced pressure itself), (ii) latitude (i.e. the +** flattening of the Earth), (iii) variations in tropospheric lapse +** rate and (iv) dispersive effects in the radio. +** +** The model was tested using the following range of conditions: +** +** lapse rates 0.0055, 0.0065, 0.0075 deg/meter +** latitudes 0, 25, 50, 75 degrees +** heights 0, 2500, 5000 meters ASL +** pressures mean for height -10% to +5% in steps of 5% +** temperatures -10 deg to +20 deg with respect to 280 deg at SL +** relative humidity 0, 0.5, 1 +** wavelengths 0.4, 0.6, ... 2 micron, + radio +** zenith distances 15, 45, 75 degrees +** +** The accuracy with respect to raytracing through a model +** atmosphere was as follows: +** +** worst RMS +** +** optical/IR 62 mas 8 mas +** radio 319 mas 49 mas +** +** For this particular set of conditions: +** +** lapse rate 0.0065 K/meter +** latitude 50 degrees +** sea level +** pressure 1005 mb +** temperature 280.15 K +** humidity 80% +** wavelength 5740 Angstroms +** +** the results were as follows: +** +** ZD raytrace eraRefco Saastamoinen +** +** 10 10.27 10.27 10.27 +** 20 21.19 21.20 21.19 +** 30 33.61 33.61 33.60 +** 40 48.82 48.83 48.81 +** 45 58.16 58.18 58.16 +** 50 69.28 69.30 69.27 +** 55 82.97 82.99 82.95 +** 60 100.51 100.54 100.50 +** 65 124.23 124.26 124.20 +** 70 158.63 158.68 158.61 +** 72 177.32 177.37 177.31 +** 74 200.35 200.38 200.32 +** 76 229.45 229.43 229.42 +** 78 267.44 267.29 267.41 +** 80 319.13 318.55 319.10 +** +** deg arcsec arcsec arcsec +** +** The values for Saastamoinen's formula (which includes terms +** up to tan^5) are taken from Hohenkerk and Sinclair (1985). +** +** 3) A wl value in the range 0-100 selects the optical/IR case and is +** wavelength in micrometers. Any value outside this range selects +** the radio case. +** +** 4) Outlandish input parameters are silently limited to +** mathematically safe values. Zero pressure is permissible, and +** causes zeroes to be returned. +** +** 5) The algorithm draws on several sources, as follows: +** +** a) The formula for the saturation vapour pressure of water as +** a function of temperature and temperature is taken from +** Equations (A4.5-A4.7) of Gill (1982). +** +** b) The formula for the water vapour pressure, given the +** saturation pressure and the relative humidity, is from +** Crane (1976), Equation (2.5.5). +** +** c) The refractivity of air is a function of temperature, +** total pressure, water-vapour pressure and, in the case +** of optical/IR, wavelength. The formulae for the two cases are +** developed from Hohenkerk & Sinclair (1985) and Rueger (2002). +** +** d) The formula for beta, the ratio of the scale height of the +** atmosphere to the geocentric distance of the observer, is +** an adaption of Equation (9) from Stone (1996). The +** adaptations, arrived at empirically, consist of (i) a small +** adjustment to the coefficient and (ii) a humidity term for the +** radio case only. +** +** e) The formulae for the refraction constants as a function of +** n-1 and beta are from Green (1987), Equation (4.31). +** +** References: +** +** Crane, R.K., Meeks, M.L. (ed), "Refraction Effects in the Neutral +** Atmosphere", Methods of Experimental Physics: Astrophysics 12B, +** Academic Press, 1976. +** +** Gill, Adrian E., "Atmosphere-Ocean Dynamics", Academic Press, +** 1982. +** +** Green, R.M., "Spherical Astronomy", Cambridge University Press, +** 1987. +** +** Hohenkerk, C.Y., & Sinclair, A.T., NAO Technical Note No. 63, +** 1985. +** +** Rueger, J.M., "Refractive Index Formulae for Electronic Distance +** Measurement with Radio and Millimetre Waves", in Unisurv Report +** S-68, School of Surveying and Spatial Information Systems, +** University of New South Wales, Sydney, Australia, 2002. +** +** Stone, Ronald C., P.A.S.P. 108, 1051-1058, 1996. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int optic; + double p, t, r, w, ps, pw, tk, wlsq, gamma, beta; + + +/* Decide whether optical/IR or radio case: switch at 100 microns. */ + optic = ( wl <= 100.0 ); + +/* Restrict parameters to safe values. */ + t = ERFA_GMAX ( tc, -150.0 ); + t = ERFA_GMIN ( t, 200.0 ); + p = ERFA_GMAX ( phpa, 0.0 ); + p = ERFA_GMIN ( p, 10000.0 ); + r = ERFA_GMAX ( rh, 0.0 ); + r = ERFA_GMIN ( r, 1.0 ); + w = ERFA_GMAX ( wl, 0.1 ); + w = ERFA_GMIN ( w, 1e6 ); + +/* Water vapour pressure at the observer. */ + if ( p > 0.0 ) { + ps = pow ( 10.0, ( 0.7859 + 0.03477*t ) / + ( 1.0 + 0.00412*t ) ) * + ( 1.0 + p * ( 4.5e-6 + 6e-10*t*t ) ); + pw = r * ps / ( 1.0 - (1.0-r)*ps/p ); + } else { + pw = 0.0; + } + +/* Refractive index minus 1 at the observer. */ + tk = t + 273.15; + if ( optic ) { + wlsq = w * w; + gamma = ( ( 77.53484e-6 + + ( 4.39108e-7 + 3.666e-9/wlsq ) / wlsq ) * p + - 11.2684e-6*pw ) / tk; + } else { + gamma = ( 77.6890e-6*p - ( 6.3938e-6 - 0.375463/tk ) * pw ) / tk; + } + +/* Formula for beta from Stone, with empirical adjustments. */ + beta = 4.4474e-6 * tk; + if ( ! optic ) beta -= 0.0074 * pw * beta; + +/* Refraction constants from Green. */ + *refa = gamma * ( 1.0 - beta ); + *refb = - gamma * ( beta - gamma / 2.0 ); + +/* Finished. */ + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/rm2v.c b/ast/erfa/rm2v.c new file mode 100644 index 0000000..7cf27db --- /dev/null +++ b/ast/erfa/rm2v.c @@ -0,0 +1,120 @@ +#include "erfa.h" + +void eraRm2v(double r[3][3], double w[3]) +/* +** - - - - - - - - +** e r a R m 2 v +** - - - - - - - - +** +** Express an r-matrix as an r-vector. +** +** Given: +** r double[3][3] rotation matrix +** +** Returned: +** w double[3] rotation vector (Note 1) +** +** Notes: +** +** 1) A rotation matrix describes a rotation through some angle about +** some arbitrary axis called the Euler axis. The "rotation vector" +** returned by this function has the same direction as the Euler axis, +** and its magnitude is the angle in radians. (The magnitude and +** direction can be separated by means of the function eraPn.) +** +** 2) If r is null, so is the result. If r is not a rotation matrix +** the result is undefined; r must be proper (i.e. have a positive +** determinant) and real orthogonal (inverse = transpose). +** +** 3) The reference frame rotates clockwise as seen looking along +** the rotation vector from the origin. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double x, y, z, s2, c2, phi, f; + + + x = r[1][2] - r[2][1]; + y = r[2][0] - r[0][2]; + z = r[0][1] - r[1][0]; + s2 = sqrt(x*x + y*y + z*z); + if (s2 != 0) { + c2 = r[0][0] + r[1][1] + r[2][2] - 1.0; + phi = atan2(s2, c2); + f = phi / s2; + w[0] = x * f; + w[1] = y * f; + w[2] = z * f; + } else { + w[0] = 0.0; + w[1] = 0.0; + w[2] = 0.0; + } + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/rv2m.c b/ast/erfa/rv2m.c new file mode 100644 index 0000000..22eeff8 --- /dev/null +++ b/ast/erfa/rv2m.c @@ -0,0 +1,127 @@ +#include "erfa.h" + +void eraRv2m(double w[3], double r[3][3]) +/* +** - - - - - - - - +** e r a R v 2 m +** - - - - - - - - +** +** Form the r-matrix corresponding to a given r-vector. +** +** Given: +** w double[3] rotation vector (Note 1) +** +** Returned: +** r double[3][3] rotation matrix +** +** Notes: +** +** 1) A rotation matrix describes a rotation through some angle about +** some arbitrary axis called the Euler axis. The "rotation vector" +** supplied to This function has the same direction as the Euler +** axis, and its magnitude is the angle in radians. +** +** 2) If w is null, the unit matrix is returned. +** +** 3) The reference frame rotates clockwise as seen looking along the +** rotation vector from the origin. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double x, y, z, phi, s, c, f; + + +/* Euler angle (magnitude of rotation vector) and functions. */ + x = w[0]; + y = w[1]; + z = w[2]; + phi = sqrt(x*x + y*y + z*z); + s = sin(phi); + c = cos(phi); + f = 1.0 - c; + +/* Euler axis (direction of rotation vector), perhaps null. */ + if (phi != 0.0) { + x /= phi; + y /= phi; + z /= phi; + } + +/* Form the rotation matrix. */ + r[0][0] = x*x*f + c; + r[0][1] = x*y*f + z*s; + r[0][2] = x*z*f - y*s; + r[1][0] = y*x*f - z*s; + r[1][1] = y*y*f + c; + r[1][2] = y*z*f + x*s; + r[2][0] = z*x*f + y*s; + r[2][1] = z*y*f - x*s; + r[2][2] = z*z*f + c; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/rx.c b/ast/erfa/rx.c new file mode 100644 index 0000000..2cfa460 --- /dev/null +++ b/ast/erfa/rx.c @@ -0,0 +1,119 @@ +#include "erfa.h" + +void eraRx(double phi, double r[3][3]) +/* +** - - - - - - +** e r a R x +** - - - - - - +** +** Rotate an r-matrix about the x-axis. +** +** Given: +** phi double angle (radians) +** +** Given and returned: +** r double[3][3] r-matrix, rotated +** +** Notes: +** +** 1) Calling this function with positive phi incorporates in the +** supplied r-matrix r an additional rotation, about the x-axis, +** anticlockwise as seen looking towards the origin from positive x. +** +** 2) The additional rotation can be represented by this matrix: +** +** ( 1 0 0 ) +** ( ) +** ( 0 + cos(phi) + sin(phi) ) +** ( ) +** ( 0 - sin(phi) + cos(phi) ) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double s, c, a10, a11, a12, a20, a21, a22; + + + s = sin(phi); + c = cos(phi); + + a10 = c*r[1][0] + s*r[2][0]; + a11 = c*r[1][1] + s*r[2][1]; + a12 = c*r[1][2] + s*r[2][2]; + a20 = - s*r[1][0] + c*r[2][0]; + a21 = - s*r[1][1] + c*r[2][1]; + a22 = - s*r[1][2] + c*r[2][2]; + + r[1][0] = a10; + r[1][1] = a11; + r[1][2] = a12; + r[2][0] = a20; + r[2][1] = a21; + r[2][2] = a22; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/rxp.c b/ast/erfa/rxp.c new file mode 100644 index 0000000..124ca30 --- /dev/null +++ b/ast/erfa/rxp.c @@ -0,0 +1,108 @@ +#include "erfa.h" + +void eraRxp(double r[3][3], double p[3], double rp[3]) +/* +** - - - - - - - +** e r a R x p +** - - - - - - - +** +** Multiply a p-vector by an r-matrix. +** +** Given: +** r double[3][3] r-matrix +** p double[3] p-vector +** +** Returned: +** rp double[3] r * p +** +** Note: +** It is permissible for p and rp to be the same array. +** +** Called: +** eraCp copy p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double w, wrp[3]; + int i, j; + + +/* Matrix r * vector p. */ + for (j = 0; j < 3; j++) { + w = 0.0; + for (i = 0; i < 3; i++) { + w += r[j][i] * p[i]; + } + wrp[j] = w; + } + +/* Return the result. */ + eraCp(wrp, rp); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/rxpv.c b/ast/erfa/rxpv.c new file mode 100644 index 0000000..fee78ca --- /dev/null +++ b/ast/erfa/rxpv.c @@ -0,0 +1,95 @@ +#include "erfa.h" + +void eraRxpv(double r[3][3], double pv[2][3], double rpv[2][3]) +/* +** - - - - - - - - +** e r a R x p v +** - - - - - - - - +** +** Multiply a pv-vector by an r-matrix. +** +** Given: +** r double[3][3] r-matrix +** pv double[2][3] pv-vector +** +** Returned: +** rpv double[2][3] r * pv +** +** Note: +** It is permissible for pv and rpv to be the same array. +** +** Called: +** eraRxp product of r-matrix and p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraRxp(r, pv[0], rpv[0]); + eraRxp(r, pv[1], rpv[1]); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/rxr.c b/ast/erfa/rxr.c new file mode 100644 index 0000000..db01937 --- /dev/null +++ b/ast/erfa/rxr.c @@ -0,0 +1,108 @@ +#include "erfa.h" + +void eraRxr(double a[3][3], double b[3][3], double atb[3][3]) +/* +** - - - - - - - +** e r a R x r +** - - - - - - - +** +** Multiply two r-matrices. +** +** Given: +** a double[3][3] first r-matrix +** b double[3][3] second r-matrix +** +** Returned: +** atb double[3][3] a * b +** +** Note: +** It is permissible to re-use the same array for any of the +** arguments. +** +** Called: +** eraCr copy r-matrix +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int i, j, k; + double w, wm[3][3]; + + + for (i = 0; i < 3; i++) { + for (j = 0; j < 3; j++) { + w = 0.0; + for (k = 0; k < 3; k++) { + w += a[i][k] * b[k][j]; + } + wm[i][j] = w; + } + } + eraCr(wm, atb); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ry.c b/ast/erfa/ry.c new file mode 100644 index 0000000..8259496 --- /dev/null +++ b/ast/erfa/ry.c @@ -0,0 +1,119 @@ +#include "erfa.h" + +void eraRy(double theta, double r[3][3]) +/* +** - - - - - - +** e r a R y +** - - - - - - +** +** Rotate an r-matrix about the y-axis. +** +** Given: +** theta double angle (radians) +** +** Given and returned: +** r double[3][3] r-matrix, rotated +** +** Notes: +** +** 1) Calling this function with positive theta incorporates in the +** supplied r-matrix r an additional rotation, about the y-axis, +** anticlockwise as seen looking towards the origin from positive y. +** +** 2) The additional rotation can be represented by this matrix: +** +** ( + cos(theta) 0 - sin(theta) ) +** ( ) +** ( 0 1 0 ) +** ( ) +** ( + sin(theta) 0 + cos(theta) ) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double s, c, a00, a01, a02, a20, a21, a22; + + + s = sin(theta); + c = cos(theta); + + a00 = c*r[0][0] - s*r[2][0]; + a01 = c*r[0][1] - s*r[2][1]; + a02 = c*r[0][2] - s*r[2][2]; + a20 = s*r[0][0] + c*r[2][0]; + a21 = s*r[0][1] + c*r[2][1]; + a22 = s*r[0][2] + c*r[2][2]; + + r[0][0] = a00; + r[0][1] = a01; + r[0][2] = a02; + r[2][0] = a20; + r[2][1] = a21; + r[2][2] = a22; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/rz.c b/ast/erfa/rz.c new file mode 100644 index 0000000..f511503 --- /dev/null +++ b/ast/erfa/rz.c @@ -0,0 +1,119 @@ +#include "erfa.h" + +void eraRz(double psi, double r[3][3]) +/* +** - - - - - - +** e r a R z +** - - - - - - +** +** Rotate an r-matrix about the z-axis. +** +** Given: +** psi double angle (radians) +** +** Given and returned: +** r double[3][3] r-matrix, rotated +** +** Notes: +** +** 1) Calling this function with positive psi incorporates in the +** supplied r-matrix r an additional rotation, about the z-axis, +** anticlockwise as seen looking towards the origin from positive z. +** +** 2) The additional rotation can be represented by this matrix: +** +** ( + cos(psi) + sin(psi) 0 ) +** ( ) +** ( - sin(psi) + cos(psi) 0 ) +** ( ) +** ( 0 0 1 ) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double s, c, a00, a01, a02, a10, a11, a12; + + + s = sin(psi); + c = cos(psi); + + a00 = c*r[0][0] + s*r[1][0]; + a01 = c*r[0][1] + s*r[1][1]; + a02 = c*r[0][2] + s*r[1][2]; + a10 = - s*r[0][0] + c*r[1][0]; + a11 = - s*r[0][1] + c*r[1][1]; + a12 = - s*r[0][2] + c*r[1][2]; + + r[0][0] = a00; + r[0][1] = a01; + r[0][2] = a02; + r[1][0] = a10; + r[1][1] = a11; + r[1][2] = a12; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/s00.c b/ast/erfa/s00.c new file mode 100644 index 0000000..46f3386 --- /dev/null +++ b/ast/erfa/s00.c @@ -0,0 +1,380 @@ +#include "erfa.h" + +double eraS00(double date1, double date2, double x, double y) +/* +** - - - - - - - +** e r a S 0 0 +** - - - - - - - +** +** The CIO locator s, positioning the Celestial Intermediate Origin on +** the equator of the Celestial Intermediate Pole, given the CIP's X,Y +** coordinates. Compatible with IAU 2000A precession-nutation. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** x,y double CIP coordinates (Note 3) +** +** Returned (function value): +** double the CIO locator s in radians (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The CIO locator s is the difference between the right ascensions +** of the same point in two systems: the two systems are the GCRS +** and the CIP,CIO, and the point is the ascending node of the +** CIP equator. The quantity s remains below 0.1 arcsecond +** throughout 1900-2100. +** +** 3) The series used to compute s is in fact for s+XY/2, where X and Y +** are the x and y components of the CIP unit vector; this series +** is more compact than a direct series for s would be. This +** function requires X,Y to be supplied by the caller, who is +** responsible for providing values that are consistent with the +** supplied date. +** +** 4) The model is consistent with the IAU 2000A precession-nutation. +** +** Called: +** eraFal03 mean anomaly of the Moon +** eraFalp03 mean anomaly of the Sun +** eraFaf03 mean argument of the latitude of the Moon +** eraFad03 mean elongation of the Moon from the Sun +** eraFaom03 mean longitude of the Moon's ascending node +** eraFave03 mean longitude of Venus +** eraFae03 mean longitude of Earth +** eraFapa03 general accumulated precession in longitude +** +** References: +** +** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., +** "Expressions for the Celestial Intermediate Pole and Celestial +** Ephemeris Origin consistent with the IAU 2000A precession- +** nutation model", Astron.Astrophys. 400, 1145-1154 (2003) +** +** n.b. The celestial ephemeris origin (CEO) was renamed "celestial +** intermediate origin" (CIO) by IAU 2006 Resolution 2. +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Time since J2000.0, in Julian centuries */ + double t; + +/* Miscellaneous */ + int i, j; + double a, w0, w1, w2, w3, w4, w5; + +/* Fundamental arguments */ + double fa[8]; + +/* Returned value */ + double s; + +/* --------------------- */ +/* The series for s+XY/2 */ +/* --------------------- */ + + typedef struct { + int nfa[8]; /* coefficients of l,l',F,D,Om,LVe,LE,pA */ + double s, c; /* sine and cosine coefficients */ + } TERM; + +/* Polynomial coefficients */ + static const double sp[] = { + + /* 1-6 */ + 94.00e-6, + 3808.35e-6, + -119.94e-6, + -72574.09e-6, + 27.70e-6, + 15.61e-6 + }; + +/* Terms of order t^0 */ + static const TERM s0[] = { + + /* 1-10 */ + {{ 0, 0, 0, 0, 1, 0, 0, 0}, -2640.73e-6, 0.39e-6 }, + {{ 0, 0, 0, 0, 2, 0, 0, 0}, -63.53e-6, 0.02e-6 }, + {{ 0, 0, 2, -2, 3, 0, 0, 0}, -11.75e-6, -0.01e-6 }, + {{ 0, 0, 2, -2, 1, 0, 0, 0}, -11.21e-6, -0.01e-6 }, + {{ 0, 0, 2, -2, 2, 0, 0, 0}, 4.57e-6, 0.00e-6 }, + {{ 0, 0, 2, 0, 3, 0, 0, 0}, -2.02e-6, 0.00e-6 }, + {{ 0, 0, 2, 0, 1, 0, 0, 0}, -1.98e-6, 0.00e-6 }, + {{ 0, 0, 0, 0, 3, 0, 0, 0}, 1.72e-6, 0.00e-6 }, + {{ 0, 1, 0, 0, 1, 0, 0, 0}, 1.41e-6, 0.01e-6 }, + {{ 0, 1, 0, 0, -1, 0, 0, 0}, 1.26e-6, 0.01e-6 }, + + /* 11-20 */ + {{ 1, 0, 0, 0, -1, 0, 0, 0}, 0.63e-6, 0.00e-6 }, + {{ 1, 0, 0, 0, 1, 0, 0, 0}, 0.63e-6, 0.00e-6 }, + {{ 0, 1, 2, -2, 3, 0, 0, 0}, -0.46e-6, 0.00e-6 }, + {{ 0, 1, 2, -2, 1, 0, 0, 0}, -0.45e-6, 0.00e-6 }, + {{ 0, 0, 4, -4, 4, 0, 0, 0}, -0.36e-6, 0.00e-6 }, + {{ 0, 0, 1, -1, 1, -8, 12, 0}, 0.24e-6, 0.12e-6 }, + {{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.32e-6, 0.00e-6 }, + {{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.28e-6, 0.00e-6 }, + {{ 1, 0, 2, 0, 3, 0, 0, 0}, -0.27e-6, 0.00e-6 }, + {{ 1, 0, 2, 0, 1, 0, 0, 0}, -0.26e-6, 0.00e-6 }, + + /* 21-30 */ + {{ 0, 0, 2, -2, 0, 0, 0, 0}, 0.21e-6, 0.00e-6 }, + {{ 0, 1, -2, 2, -3, 0, 0, 0}, -0.19e-6, 0.00e-6 }, + {{ 0, 1, -2, 2, -1, 0, 0, 0}, -0.18e-6, 0.00e-6 }, + {{ 0, 0, 0, 0, 0, 8,-13, -1}, 0.10e-6, -0.05e-6 }, + {{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.15e-6, 0.00e-6 }, + {{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.14e-6, 0.00e-6 }, + {{ 0, 1, 2, -2, 2, 0, 0, 0}, 0.14e-6, 0.00e-6 }, + {{ 1, 0, 0, -2, 1, 0, 0, 0}, -0.14e-6, 0.00e-6 }, + {{ 1, 0, 0, -2, -1, 0, 0, 0}, -0.14e-6, 0.00e-6 }, + {{ 0, 0, 4, -2, 4, 0, 0, 0}, -0.13e-6, 0.00e-6 }, + + /* 31-33 */ + {{ 0, 0, 2, -2, 4, 0, 0, 0}, 0.11e-6, 0.00e-6 }, + {{ 1, 0, -2, 0, -3, 0, 0, 0}, -0.11e-6, 0.00e-6 }, + {{ 1, 0, -2, 0, -1, 0, 0, 0}, -0.11e-6, 0.00e-6 } + }; + +/* Terms of order t^1 */ + static const TERM s1[] ={ + + /* 1-3 */ + {{ 0, 0, 0, 0, 2, 0, 0, 0}, -0.07e-6, 3.57e-6 }, + {{ 0, 0, 0, 0, 1, 0, 0, 0}, 1.71e-6, -0.03e-6 }, + {{ 0, 0, 2, -2, 3, 0, 0, 0}, 0.00e-6, 0.48e-6 } + }; + +/* Terms of order t^2 */ + static const TERM s2[] ={ + + /* 1-10 */ + {{ 0, 0, 0, 0, 1, 0, 0, 0}, 743.53e-6, -0.17e-6 }, + {{ 0, 0, 2, -2, 2, 0, 0, 0}, 56.91e-6, 0.06e-6 }, + {{ 0, 0, 2, 0, 2, 0, 0, 0}, 9.84e-6, -0.01e-6 }, + {{ 0, 0, 0, 0, 2, 0, 0, 0}, -8.85e-6, 0.01e-6 }, + {{ 0, 1, 0, 0, 0, 0, 0, 0}, -6.38e-6, -0.05e-6 }, + {{ 1, 0, 0, 0, 0, 0, 0, 0}, -3.07e-6, 0.00e-6 }, + {{ 0, 1, 2, -2, 2, 0, 0, 0}, 2.23e-6, 0.00e-6 }, + {{ 0, 0, 2, 0, 1, 0, 0, 0}, 1.67e-6, 0.00e-6 }, + {{ 1, 0, 2, 0, 2, 0, 0, 0}, 1.30e-6, 0.00e-6 }, + {{ 0, 1, -2, 2, -2, 0, 0, 0}, 0.93e-6, 0.00e-6 }, + + /* 11-20 */ + {{ 1, 0, 0, -2, 0, 0, 0, 0}, 0.68e-6, 0.00e-6 }, + {{ 0, 0, 2, -2, 1, 0, 0, 0}, -0.55e-6, 0.00e-6 }, + {{ 1, 0, -2, 0, -2, 0, 0, 0}, 0.53e-6, 0.00e-6 }, + {{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.27e-6, 0.00e-6 }, + {{ 1, 0, 0, 0, 1, 0, 0, 0}, -0.27e-6, 0.00e-6 }, + {{ 1, 0, -2, -2, -2, 0, 0, 0}, -0.26e-6, 0.00e-6 }, + {{ 1, 0, 0, 0, -1, 0, 0, 0}, -0.25e-6, 0.00e-6 }, + {{ 1, 0, 2, 0, 1, 0, 0, 0}, 0.22e-6, 0.00e-6 }, + {{ 2, 0, 0, -2, 0, 0, 0, 0}, -0.21e-6, 0.00e-6 }, + {{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.20e-6, 0.00e-6 }, + + /* 21-25 */ + {{ 0, 0, 2, 2, 2, 0, 0, 0}, 0.17e-6, 0.00e-6 }, + {{ 2, 0, 2, 0, 2, 0, 0, 0}, 0.13e-6, 0.00e-6 }, + {{ 2, 0, 0, 0, 0, 0, 0, 0}, -0.13e-6, 0.00e-6 }, + {{ 1, 0, 2, -2, 2, 0, 0, 0}, -0.12e-6, 0.00e-6 }, + {{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.11e-6, 0.00e-6 } + }; + +/* Terms of order t^3 */ + static const TERM s3[] ={ + + /* 1-4 */ + {{ 0, 0, 0, 0, 1, 0, 0, 0}, 0.30e-6, -23.51e-6 }, + {{ 0, 0, 2, -2, 2, 0, 0, 0}, -0.03e-6, -1.39e-6 }, + {{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.01e-6, -0.24e-6 }, + {{ 0, 0, 0, 0, 2, 0, 0, 0}, 0.00e-6, 0.22e-6 } + }; + +/* Terms of order t^4 */ + static const TERM s4[] ={ + + /* 1-1 */ + {{ 0, 0, 0, 0, 1, 0, 0, 0}, -0.26e-6, -0.01e-6 } + }; + +/* Number of terms in the series */ + const int NS0 = (int) (sizeof s0 / sizeof (TERM)); + const int NS1 = (int) (sizeof s1 / sizeof (TERM)); + const int NS2 = (int) (sizeof s2 / sizeof (TERM)); + const int NS3 = (int) (sizeof s3 / sizeof (TERM)); + const int NS4 = (int) (sizeof s4 / sizeof (TERM)); + +/*--------------------------------------------------------------------*/ + +/* Interval between fundamental epoch J2000.0 and current date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* Fundamental Arguments (from IERS Conventions 2003) */ + +/* Mean anomaly of the Moon. */ + fa[0] = eraFal03(t); + +/* Mean anomaly of the Sun. */ + fa[1] = eraFalp03(t); + +/* Mean longitude of the Moon minus that of the ascending node. */ + fa[2] = eraFaf03(t); + +/* Mean elongation of the Moon from the Sun. */ + fa[3] = eraFad03(t); + +/* Mean longitude of the ascending node of the Moon. */ + fa[4] = eraFaom03(t); + +/* Mean longitude of Venus. */ + fa[5] = eraFave03(t); + +/* Mean longitude of Earth. */ + fa[6] = eraFae03(t); + +/* General precession in longitude. */ + fa[7] = eraFapa03(t); + +/* Evaluate s. */ + w0 = sp[0]; + w1 = sp[1]; + w2 = sp[2]; + w3 = sp[3]; + w4 = sp[4]; + w5 = sp[5]; + + for (i = NS0-1; i >= 0; i--) { + a = 0.0; + for (j = 0; j < 8; j++) { + a += (double)s0[i].nfa[j] * fa[j]; + } + w0 += s0[i].s * sin(a) + s0[i].c * cos(a); + } + + for (i = NS1-1; i >= 0; i--) { + a = 0.0; + for (j = 0; j < 8; j++) { + a += (double)s1[i].nfa[j] * fa[j]; + } + w1 += s1[i].s * sin(a) + s1[i].c * cos(a); + } + + for (i = NS2-1; i >= 0; i--) { + a = 0.0; + for (j = 0; j < 8; j++) { + a += (double)s2[i].nfa[j] * fa[j]; + } + w2 += s2[i].s * sin(a) + s2[i].c * cos(a); + } + + for (i = NS3-1; i >= 0; i--) { + a = 0.0; + for (j = 0; j < 8; j++) { + a += (double)s3[i].nfa[j] * fa[j]; + } + w3 += s3[i].s * sin(a) + s3[i].c * cos(a); + } + + for (i = NS4-1; i >= 0; i--) { + a = 0.0; + for (j = 0; j < 8; j++) { + a += (double)s4[i].nfa[j] * fa[j]; + } + w4 += s4[i].s * sin(a) + s4[i].c * cos(a); + } + + s = (w0 + + (w1 + + (w2 + + (w3 + + (w4 + + w5 * t) * t) * t) * t) * t) * ERFA_DAS2R - x*y/2.0; + + return s; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/s00a.c b/ast/erfa/s00a.c new file mode 100644 index 0000000..39376df --- /dev/null +++ b/ast/erfa/s00a.c @@ -0,0 +1,152 @@ +#include "erfa.h" + +double eraS00a(double date1, double date2) +/* +** - - - - - - - - +** e r a S 0 0 a +** - - - - - - - - +** +** The CIO locator s, positioning the Celestial Intermediate Origin on +** the equator of the Celestial Intermediate Pole, using the IAU 2000A +** precession-nutation model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned (function value): +** double the CIO locator s in radians (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The CIO locator s is the difference between the right ascensions +** of the same point in two systems. The two systems are the GCRS +** and the CIP,CIO, and the point is the ascending node of the +** CIP equator. The CIO locator s remains a small fraction of +** 1 arcsecond throughout 1900-2100. +** +** 3) The series used to compute s is in fact for s+XY/2, where X and Y +** are the x and y components of the CIP unit vector; this series +** is more compact than a direct series for s would be. The present +** function uses the full IAU 2000A nutation model when predicting +** the CIP position. Faster results, with no significant loss of +** accuracy, can be obtained via the function eraS00b, which uses +** instead the IAU 2000B truncated model. +** +** Called: +** eraPnm00a classical NPB matrix, IAU 2000A +** eraBnp2xy extract CIP X,Y from the BPN matrix +** eraS00 the CIO locator s, given X,Y, IAU 2000A +** +** References: +** +** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., +** "Expressions for the Celestial Intermediate Pole and Celestial +** Ephemeris Origin consistent with the IAU 2000A precession- +** nutation model", Astron.Astrophys. 400, 1145-1154 (2003) +** +** n.b. The celestial ephemeris origin (CEO) was renamed "celestial +** intermediate origin" (CIO) by IAU 2006 Resolution 2. +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rbpn[3][3], x, y, s; + + +/* Bias-precession-nutation-matrix, IAU 2000A. */ + eraPnm00a(date1, date2, rbpn); + +/* Extract the CIP coordinates. */ + eraBpn2xy(rbpn, &x, &y); + +/* Compute the CIO locator s, given the CIP coordinates. */ + s = eraS00(date1, date2, x, y); + + return s; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/s00b.c b/ast/erfa/s00b.c new file mode 100644 index 0000000..21aecf4 --- /dev/null +++ b/ast/erfa/s00b.c @@ -0,0 +1,152 @@ +#include "erfa.h" + +double eraS00b(double date1, double date2) +/* +** - - - - - - - - +** e r a S 0 0 b +** - - - - - - - - +** +** The CIO locator s, positioning the Celestial Intermediate Origin on +** the equator of the Celestial Intermediate Pole, using the IAU 2000B +** precession-nutation model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned (function value): +** double the CIO locator s in radians (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The CIO locator s is the difference between the right ascensions +** of the same point in two systems. The two systems are the GCRS +** and the CIP,CIO, and the point is the ascending node of the +** CIP equator. The CIO locator s remains a small fraction of +** 1 arcsecond throughout 1900-2100. +** +** 3) The series used to compute s is in fact for s+XY/2, where X and Y +** are the x and y components of the CIP unit vector; this series +** is more compact than a direct series for s would be. The present +** function uses the IAU 2000B truncated nutation model when +** predicting the CIP position. The function eraS00a uses instead +** the full IAU 2000A model, but with no significant increase in +** accuracy and at some cost in speed. +** +** Called: +** eraPnm00b classical NPB matrix, IAU 2000B +** eraBnp2xy extract CIP X,Y from the BPN matrix +** eraS00 the CIO locator s, given X,Y, IAU 2000A +** +** References: +** +** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., +** "Expressions for the Celestial Intermediate Pole and Celestial +** Ephemeris Origin consistent with the IAU 2000A precession- +** nutation model", Astron.Astrophys. 400, 1145-1154 (2003) +** +** n.b. The celestial ephemeris origin (CEO) was renamed "celestial +** intermediate origin" (CIO) by IAU 2006 Resolution 2. +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rbpn[3][3], x, y, s; + + +/* Bias-precession-nutation-matrix, IAU 2000B. */ + eraPnm00b(date1, date2, rbpn); + +/* Extract the CIP coordinates. */ + eraBpn2xy(rbpn, &x, &y); + +/* Compute the CIO locator s, given the CIP coordinates. */ + s = eraS00(date1, date2, x, y); + + return s; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/s06.c b/ast/erfa/s06.c new file mode 100644 index 0000000..e92b501 --- /dev/null +++ b/ast/erfa/s06.c @@ -0,0 +1,377 @@ +#include "erfa.h" + +double eraS06(double date1, double date2, double x, double y) +/* +** - - - - - - - +** e r a S 0 6 +** - - - - - - - +** +** The CIO locator s, positioning the Celestial Intermediate Origin on +** the equator of the Celestial Intermediate Pole, given the CIP's X,Y +** coordinates. Compatible with IAU 2006/2000A precession-nutation. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** x,y double CIP coordinates (Note 3) +** +** Returned (function value): +** double the CIO locator s in radians (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The CIO locator s is the difference between the right ascensions +** of the same point in two systems: the two systems are the GCRS +** and the CIP,CIO, and the point is the ascending node of the +** CIP equator. The quantity s remains below 0.1 arcsecond +** throughout 1900-2100. +** +** 3) The series used to compute s is in fact for s+XY/2, where X and Y +** are the x and y components of the CIP unit vector; this series +** is more compact than a direct series for s would be. This +** function requires X,Y to be supplied by the caller, who is +** responsible for providing values that are consistent with the +** supplied date. +** +** 4) The model is consistent with the "P03" precession (Capitaine et +** al. 2003), adopted by IAU 2006 Resolution 1, 2006, and the +** IAU 2000A nutation (with P03 adjustments). +** +** Called: +** eraFal03 mean anomaly of the Moon +** eraFalp03 mean anomaly of the Sun +** eraFaf03 mean argument of the latitude of the Moon +** eraFad03 mean elongation of the Moon from the Sun +** eraFaom03 mean longitude of the Moon's ascending node +** eraFave03 mean longitude of Venus +** eraFae03 mean longitude of Earth +** eraFapa03 general accumulated precession in longitude +** +** References: +** +** Capitaine, N., Wallace, P.T. & Chapront, J., 2003, Astron. +** Astrophys. 432, 355 +** +** McCarthy, D.D., Petit, G. (eds.) 2004, IERS Conventions (2003), +** IERS Technical Note No. 32, BKG +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Time since J2000.0, in Julian centuries */ + double t; + +/* Miscellaneous */ + int i, j; + double a, w0, w1, w2, w3, w4, w5; + +/* Fundamental arguments */ + double fa[8]; + +/* Returned value */ + double s; + +/* --------------------- */ +/* The series for s+XY/2 */ +/* --------------------- */ + + typedef struct { + int nfa[8]; /* coefficients of l,l',F,D,Om,LVe,LE,pA */ + double s, c; /* sine and cosine coefficients */ + } TERM; + +/* Polynomial coefficients */ + static const double sp[] = { + + /* 1-6 */ + 94.00e-6, + 3808.65e-6, + -122.68e-6, + -72574.11e-6, + 27.98e-6, + 15.62e-6 + }; + +/* Terms of order t^0 */ + static const TERM s0[] = { + + /* 1-10 */ + {{ 0, 0, 0, 0, 1, 0, 0, 0}, -2640.73e-6, 0.39e-6 }, + {{ 0, 0, 0, 0, 2, 0, 0, 0}, -63.53e-6, 0.02e-6 }, + {{ 0, 0, 2, -2, 3, 0, 0, 0}, -11.75e-6, -0.01e-6 }, + {{ 0, 0, 2, -2, 1, 0, 0, 0}, -11.21e-6, -0.01e-6 }, + {{ 0, 0, 2, -2, 2, 0, 0, 0}, 4.57e-6, 0.00e-6 }, + {{ 0, 0, 2, 0, 3, 0, 0, 0}, -2.02e-6, 0.00e-6 }, + {{ 0, 0, 2, 0, 1, 0, 0, 0}, -1.98e-6, 0.00e-6 }, + {{ 0, 0, 0, 0, 3, 0, 0, 0}, 1.72e-6, 0.00e-6 }, + {{ 0, 1, 0, 0, 1, 0, 0, 0}, 1.41e-6, 0.01e-6 }, + {{ 0, 1, 0, 0, -1, 0, 0, 0}, 1.26e-6, 0.01e-6 }, + + /* 11-20 */ + {{ 1, 0, 0, 0, -1, 0, 0, 0}, 0.63e-6, 0.00e-6 }, + {{ 1, 0, 0, 0, 1, 0, 0, 0}, 0.63e-6, 0.00e-6 }, + {{ 0, 1, 2, -2, 3, 0, 0, 0}, -0.46e-6, 0.00e-6 }, + {{ 0, 1, 2, -2, 1, 0, 0, 0}, -0.45e-6, 0.00e-6 }, + {{ 0, 0, 4, -4, 4, 0, 0, 0}, -0.36e-6, 0.00e-6 }, + {{ 0, 0, 1, -1, 1, -8, 12, 0}, 0.24e-6, 0.12e-6 }, + {{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.32e-6, 0.00e-6 }, + {{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.28e-6, 0.00e-6 }, + {{ 1, 0, 2, 0, 3, 0, 0, 0}, -0.27e-6, 0.00e-6 }, + {{ 1, 0, 2, 0, 1, 0, 0, 0}, -0.26e-6, 0.00e-6 }, + + /* 21-30 */ + {{ 0, 0, 2, -2, 0, 0, 0, 0}, 0.21e-6, 0.00e-6 }, + {{ 0, 1, -2, 2, -3, 0, 0, 0}, -0.19e-6, 0.00e-6 }, + {{ 0, 1, -2, 2, -1, 0, 0, 0}, -0.18e-6, 0.00e-6 }, + {{ 0, 0, 0, 0, 0, 8,-13, -1}, 0.10e-6, -0.05e-6 }, + {{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.15e-6, 0.00e-6 }, + {{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.14e-6, 0.00e-6 }, + {{ 0, 1, 2, -2, 2, 0, 0, 0}, 0.14e-6, 0.00e-6 }, + {{ 1, 0, 0, -2, 1, 0, 0, 0}, -0.14e-6, 0.00e-6 }, + {{ 1, 0, 0, -2, -1, 0, 0, 0}, -0.14e-6, 0.00e-6 }, + {{ 0, 0, 4, -2, 4, 0, 0, 0}, -0.13e-6, 0.00e-6 }, + + /* 31-33 */ + {{ 0, 0, 2, -2, 4, 0, 0, 0}, 0.11e-6, 0.00e-6 }, + {{ 1, 0, -2, 0, -3, 0, 0, 0}, -0.11e-6, 0.00e-6 }, + {{ 1, 0, -2, 0, -1, 0, 0, 0}, -0.11e-6, 0.00e-6 } + }; + +/* Terms of order t^1 */ + static const TERM s1[] = { + + /* 1 - 3 */ + {{ 0, 0, 0, 0, 2, 0, 0, 0}, -0.07e-6, 3.57e-6 }, + {{ 0, 0, 0, 0, 1, 0, 0, 0}, 1.73e-6, -0.03e-6 }, + {{ 0, 0, 2, -2, 3, 0, 0, 0}, 0.00e-6, 0.48e-6 } + }; + +/* Terms of order t^2 */ + static const TERM s2[] = { + + /* 1-10 */ + {{ 0, 0, 0, 0, 1, 0, 0, 0}, 743.52e-6, -0.17e-6 }, + {{ 0, 0, 2, -2, 2, 0, 0, 0}, 56.91e-6, 0.06e-6 }, + {{ 0, 0, 2, 0, 2, 0, 0, 0}, 9.84e-6, -0.01e-6 }, + {{ 0, 0, 0, 0, 2, 0, 0, 0}, -8.85e-6, 0.01e-6 }, + {{ 0, 1, 0, 0, 0, 0, 0, 0}, -6.38e-6, -0.05e-6 }, + {{ 1, 0, 0, 0, 0, 0, 0, 0}, -3.07e-6, 0.00e-6 }, + {{ 0, 1, 2, -2, 2, 0, 0, 0}, 2.23e-6, 0.00e-6 }, + {{ 0, 0, 2, 0, 1, 0, 0, 0}, 1.67e-6, 0.00e-6 }, + {{ 1, 0, 2, 0, 2, 0, 0, 0}, 1.30e-6, 0.00e-6 }, + {{ 0, 1, -2, 2, -2, 0, 0, 0}, 0.93e-6, 0.00e-6 }, + + /* 11-20 */ + {{ 1, 0, 0, -2, 0, 0, 0, 0}, 0.68e-6, 0.00e-6 }, + {{ 0, 0, 2, -2, 1, 0, 0, 0}, -0.55e-6, 0.00e-6 }, + {{ 1, 0, -2, 0, -2, 0, 0, 0}, 0.53e-6, 0.00e-6 }, + {{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.27e-6, 0.00e-6 }, + {{ 1, 0, 0, 0, 1, 0, 0, 0}, -0.27e-6, 0.00e-6 }, + {{ 1, 0, -2, -2, -2, 0, 0, 0}, -0.26e-6, 0.00e-6 }, + {{ 1, 0, 0, 0, -1, 0, 0, 0}, -0.25e-6, 0.00e-6 }, + {{ 1, 0, 2, 0, 1, 0, 0, 0}, 0.22e-6, 0.00e-6 }, + {{ 2, 0, 0, -2, 0, 0, 0, 0}, -0.21e-6, 0.00e-6 }, + {{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.20e-6, 0.00e-6 }, + + /* 21-25 */ + {{ 0, 0, 2, 2, 2, 0, 0, 0}, 0.17e-6, 0.00e-6 }, + {{ 2, 0, 2, 0, 2, 0, 0, 0}, 0.13e-6, 0.00e-6 }, + {{ 2, 0, 0, 0, 0, 0, 0, 0}, -0.13e-6, 0.00e-6 }, + {{ 1, 0, 2, -2, 2, 0, 0, 0}, -0.12e-6, 0.00e-6 }, + {{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.11e-6, 0.00e-6 } + }; + +/* Terms of order t^3 */ + static const TERM s3[] = { + + /* 1-4 */ + {{ 0, 0, 0, 0, 1, 0, 0, 0}, 0.30e-6, -23.42e-6 }, + {{ 0, 0, 2, -2, 2, 0, 0, 0}, -0.03e-6, -1.46e-6 }, + {{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.01e-6, -0.25e-6 }, + {{ 0, 0, 0, 0, 2, 0, 0, 0}, 0.00e-6, 0.23e-6 } + }; + +/* Terms of order t^4 */ + static const TERM s4[] = { + + /* 1-1 */ + {{ 0, 0, 0, 0, 1, 0, 0, 0}, -0.26e-6, -0.01e-6 } + }; + +/* Number of terms in the series */ + static const int NS0 = (int) (sizeof s0 / sizeof (TERM)); + static const int NS1 = (int) (sizeof s1 / sizeof (TERM)); + static const int NS2 = (int) (sizeof s2 / sizeof (TERM)); + static const int NS3 = (int) (sizeof s3 / sizeof (TERM)); + static const int NS4 = (int) (sizeof s4 / sizeof (TERM)); + +/*--------------------------------------------------------------------*/ + +/* Interval between fundamental epoch J2000.0 and current date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* Fundamental Arguments (from IERS Conventions 2003) */ + +/* Mean anomaly of the Moon. */ + fa[0] = eraFal03(t); + +/* Mean anomaly of the Sun. */ + fa[1] = eraFalp03(t); + +/* Mean longitude of the Moon minus that of the ascending node. */ + fa[2] = eraFaf03(t); + +/* Mean elongation of the Moon from the Sun. */ + fa[3] = eraFad03(t); + +/* Mean longitude of the ascending node of the Moon. */ + fa[4] = eraFaom03(t); + +/* Mean longitude of Venus. */ + fa[5] = eraFave03(t); + +/* Mean longitude of Earth. */ + fa[6] = eraFae03(t); + +/* General precession in longitude. */ + fa[7] = eraFapa03(t); + +/* Evaluate s. */ + w0 = sp[0]; + w1 = sp[1]; + w2 = sp[2]; + w3 = sp[3]; + w4 = sp[4]; + w5 = sp[5]; + + for (i = NS0-1; i >= 0; i--) { + a = 0.0; + for (j = 0; j < 8; j++) { + a += (double)s0[i].nfa[j] * fa[j]; + } + w0 += s0[i].s * sin(a) + s0[i].c * cos(a); + } + + for (i = NS1-1; i >= 0; i--) { + a = 0.0; + for (j = 0; j < 8; j++) { + a += (double)s1[i].nfa[j] * fa[j]; + } + w1 += s1[i].s * sin(a) + s1[i].c * cos(a); + } + + for (i = NS2-1; i >= 0; i--) { + a = 0.0; + for (j = 0; j < 8; j++) { + a += (double)s2[i].nfa[j] * fa[j]; + } + w2 += s2[i].s * sin(a) + s2[i].c * cos(a); + } + + for (i = NS3-1; i >= 0; i--) { + a = 0.0; + for (j = 0; j < 8; j++) { + a += (double)s3[i].nfa[j] * fa[j]; + } + w3 += s3[i].s * sin(a) + s3[i].c * cos(a); + } + + for (i = NS4-1; i >= 0; i--) { + a = 0.0; + for (j = 0; j < 8; j++) { + a += (double)s4[i].nfa[j] * fa[j]; + } + w4 += s4[i].s * sin(a) + s4[i].c * cos(a); + } + + s = (w0 + + (w1 + + (w2 + + (w3 + + (w4 + + w5 * t) * t) * t) * t) * t) * ERFA_DAS2R - x*y/2.0; + + return s; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/s06a.c b/ast/erfa/s06a.c new file mode 100644 index 0000000..6fac640 --- /dev/null +++ b/ast/erfa/s06a.c @@ -0,0 +1,154 @@ +#include "erfa.h" + +double eraS06a(double date1, double date2) +/* +** - - - - - - - - +** e r a S 0 6 a +** - - - - - - - - +** +** The CIO locator s, positioning the Celestial Intermediate Origin on +** the equator of the Celestial Intermediate Pole, using the IAU 2006 +** precession and IAU 2000A nutation models. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned (function value): +** double the CIO locator s in radians (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The CIO locator s is the difference between the right ascensions +** of the same point in two systems. The two systems are the GCRS +** and the CIP,CIO, and the point is the ascending node of the +** CIP equator. The CIO locator s remains a small fraction of +** 1 arcsecond throughout 1900-2100. +** +** 3) The series used to compute s is in fact for s+XY/2, where X and Y +** are the x and y components of the CIP unit vector; this series is +** more compact than a direct series for s would be. The present +** function uses the full IAU 2000A nutation model when predicting +** the CIP position. +** +** Called: +** eraPnm06a classical NPB matrix, IAU 2006/2000A +** eraBpn2xy extract CIP X,Y coordinates from NPB matrix +** eraS06 the CIO locator s, given X,Y, IAU 2006 +** +** References: +** +** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., +** "Expressions for the Celestial Intermediate Pole and Celestial +** Ephemeris Origin consistent with the IAU 2000A precession- +** nutation model", Astron.Astrophys. 400, 1145-1154 (2003) +** +** n.b. The celestial ephemeris origin (CEO) was renamed "celestial +** intermediate origin" (CIO) by IAU 2006 Resolution 2. +** +** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 +** +** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003), +** IERS Technical Note No. 32, BKG +** +** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rnpb[3][3], x, y, s; + + +/* Bias-precession-nutation-matrix, IAU 20006/2000A. */ + eraPnm06a(date1, date2, rnpb); + +/* Extract the CIP coordinates. */ + eraBpn2xy(rnpb, &x, &y); + +/* Compute the CIO locator s, given the CIP coordinates. */ + s = eraS06(date1, date2, x, y); + + return s; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/s2c.c b/ast/erfa/s2c.c new file mode 100644 index 0000000..6812fe2 --- /dev/null +++ b/ast/erfa/s2c.c @@ -0,0 +1,94 @@ +#include "erfa.h" + +void eraS2c(double theta, double phi, double c[3]) +/* +** - - - - - - - +** e r a S 2 c +** - - - - - - - +** +** Convert spherical coordinates to Cartesian. +** +** Given: +** theta double longitude angle (radians) +** phi double latitude angle (radians) +** +** Returned: +** c double[3] direction cosines +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double cp; + + + cp = cos(phi); + c[0] = cos(theta) * cp; + c[1] = sin(theta) * cp; + c[2] = sin(phi); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/s2p.c b/ast/erfa/s2p.c new file mode 100644 index 0000000..69b0415 --- /dev/null +++ b/ast/erfa/s2p.c @@ -0,0 +1,97 @@ +#include "erfa.h" + +void eraS2p(double theta, double phi, double r, double p[3]) +/* +** - - - - - - - +** e r a S 2 p +** - - - - - - - +** +** Convert spherical polar coordinates to p-vector. +** +** Given: +** theta double longitude angle (radians) +** phi double latitude angle (radians) +** r double radial distance +** +** Returned: +** p double[3] Cartesian coordinates +** +** Called: +** eraS2c spherical coordinates to unit vector +** eraSxp multiply p-vector by scalar +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double u[3]; + + + eraS2c(theta, phi, u); + eraSxp(r, u, p); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/s2pv.c b/ast/erfa/s2pv.c new file mode 100644 index 0000000..cb9b8d2 --- /dev/null +++ b/ast/erfa/s2pv.c @@ -0,0 +1,112 @@ +#include "erfa.h" + +void eraS2pv(double theta, double phi, double r, + double td, double pd, double rd, + double pv[2][3]) +/* +** - - - - - - - - +** e r a S 2 p v +** - - - - - - - - +** +** Convert position/velocity from spherical to Cartesian coordinates. +** +** Given: +** theta double longitude angle (radians) +** phi double latitude angle (radians) +** r double radial distance +** td double rate of change of theta +** pd double rate of change of phi +** rd double rate of change of r +** +** Returned: +** pv double[2][3] pv-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double st, ct, sp, cp, rcp, x, y, rpd, w; + + + st = sin(theta); + ct = cos(theta); + sp = sin(phi); + cp = cos(phi); + rcp = r * cp; + x = rcp * ct; + y = rcp * st; + rpd = r * pd; + w = rpd*sp - cp*rd; + + pv[0][0] = x; + pv[0][1] = y; + pv[0][2] = r * sp; + pv[1][0] = -y*td - w*ct; + pv[1][1] = x*td - w*st; + pv[1][2] = rpd*cp + sp*rd; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/s2xpv.c b/ast/erfa/s2xpv.c new file mode 100644 index 0000000..909e2ee --- /dev/null +++ b/ast/erfa/s2xpv.c @@ -0,0 +1,96 @@ +#include "erfa.h" + +void eraS2xpv(double s1, double s2, double pv[2][3], double spv[2][3]) +/* +** - - - - - - - - - +** e r a S 2 x p v +** - - - - - - - - - +** +** Multiply a pv-vector by two scalars. +** +** Given: +** s1 double scalar to multiply position component by +** s2 double scalar to multiply velocity component by +** pv double[2][3] pv-vector +** +** Returned: +** spv double[2][3] pv-vector: p scaled by s1, v scaled by s2 +** +** Note: +** It is permissible for pv and spv to be the same array. +** +** Called: +** eraSxp multiply p-vector by scalar +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraSxp(s1, pv[0], spv[0]); + eraSxp(s2, pv[1], spv[1]); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/sepp.c b/ast/erfa/sepp.c new file mode 100644 index 0000000..04993fa --- /dev/null +++ b/ast/erfa/sepp.c @@ -0,0 +1,114 @@ +#include "erfa.h" + +double eraSepp(double a[3], double b[3]) +/* +** - - - - - - - - +** e r a S e p p +** - - - - - - - - +** +** Angular separation between two p-vectors. +** +** Given: +** a double[3] first p-vector (not necessarily unit length) +** b double[3] second p-vector (not necessarily unit length) +** +** Returned (function value): +** double angular separation (radians, always positive) +** +** Notes: +** +** 1) If either vector is null, a zero result is returned. +** +** 2) The angular separation is most simply formulated in terms of +** scalar product. However, this gives poor accuracy for angles +** near zero and pi. The present algorithm uses both cross product +** and dot product, to deliver full accuracy whatever the size of +** the angle. +** +** Called: +** eraPxp vector product of two p-vectors +** eraPm modulus of p-vector +** eraPdp scalar product of two p-vectors +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double axb[3], ss, cs, s; + + +/* Sine of angle between the vectors, multiplied by the two moduli. */ + eraPxp(a, b, axb); + ss = eraPm(axb); + +/* Cosine of the angle, multiplied by the two moduli. */ + cs = eraPdp(a, b); + +/* The angle. */ + s = ((ss != 0.0) || (cs != 0.0)) ? atan2(ss, cs) : 0.0; + + return s; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/seps.c b/ast/erfa/seps.c new file mode 100644 index 0000000..46dd412 --- /dev/null +++ b/ast/erfa/seps.c @@ -0,0 +1,102 @@ +#include "erfa.h" + +double eraSeps(double al, double ap, double bl, double bp) +/* +** - - - - - - - - +** e r a S e p s +** - - - - - - - - +** +** Angular separation between two sets of spherical coordinates. +** +** Given: +** al double first longitude (radians) +** ap double first latitude (radians) +** bl double second longitude (radians) +** bp double second latitude (radians) +** +** Returned (function value): +** double angular separation (radians) +** +** Called: +** eraS2c spherical coordinates to unit vector +** eraSepp angular separation between two p-vectors +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double ac[3], bc[3], s; + + +/* Spherical to Cartesian. */ + eraS2c(al, ap, ac); + eraS2c(bl, bp, bc); + +/* Angle between the vectors. */ + s = eraSepp(ac, bc); + + return s; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/sp00.c b/ast/erfa/sp00.c new file mode 100644 index 0000000..c586ce0 --- /dev/null +++ b/ast/erfa/sp00.c @@ -0,0 +1,127 @@ +#include "erfa.h" + +double eraSp00(double date1, double date2) +/* +** - - - - - - - - +** e r a S p 0 0 +** - - - - - - - - +** +** The TIO locator s', positioning the Terrestrial Intermediate Origin +** on the equator of the Celestial Intermediate Pole. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned (function value): +** double the TIO locator s' in radians (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The TIO locator s' is obtained from polar motion observations by +** numerical integration, and so is in essence unpredictable. +** However, it is dominated by a secular drift of about +** 47 microarcseconds per century, which is the approximation +** evaluated by the present function. +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double t, sp; + + +/* Interval between fundamental epoch J2000.0 and current date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* Approximate s'. */ + sp = -47e-6 * t * ERFA_DAS2R; + + return sp; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/starpm.c b/ast/erfa/starpm.c new file mode 100644 index 0000000..e82662a --- /dev/null +++ b/ast/erfa/starpm.c @@ -0,0 +1,214 @@ +#include "erfa.h" + +int eraStarpm(double ra1, double dec1, + double pmr1, double pmd1, double px1, double rv1, + double ep1a, double ep1b, double ep2a, double ep2b, + double *ra2, double *dec2, + double *pmr2, double *pmd2, double *px2, double *rv2) +/* +** - - - - - - - - - - +** e r a S t a r p m +** - - - - - - - - - - +** +** Star proper motion: update star catalog data for space motion. +** +** Given: +** ra1 double right ascension (radians), before +** dec1 double declination (radians), before +** pmr1 double RA proper motion (radians/year), before +** pmd1 double Dec proper motion (radians/year), before +** px1 double parallax (arcseconds), before +** rv1 double radial velocity (km/s, +ve = receding), before +** ep1a double "before" epoch, part A (Note 1) +** ep1b double "before" epoch, part B (Note 1) +** ep2a double "after" epoch, part A (Note 1) +** ep2b double "after" epoch, part B (Note 1) +** +** Returned: +** ra2 double right ascension (radians), after +** dec2 double declination (radians), after +** pmr2 double RA proper motion (radians/year), after +** pmd2 double Dec proper motion (radians/year), after +** px2 double parallax (arcseconds), after +** rv2 double radial velocity (km/s, +ve = receding), after +** +** Returned (function value): +** int status: +** -1 = system error (should not occur) +** 0 = no warnings or errors +** 1 = distance overridden (Note 6) +** 2 = excessive velocity (Note 7) +** 4 = solution didn't converge (Note 8) +** else = binary logical OR of the above warnings +** +** Notes: +** +** 1) The starting and ending TDB dates ep1a+ep1b and ep2a+ep2b are +** Julian Dates, apportioned in any convenient way between the two +** parts (A and B). For example, JD(TDB)=2450123.7 could be +** expressed in any of these ways, among others: +** +** epna epnb +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) In accordance with normal star-catalog conventions, the object's +** right ascension and declination are freed from the effects of +** secular aberration. The frame, which is aligned to the catalog +** equator and equinox, is Lorentzian and centered on the SSB. +** +** The proper motions are the rate of change of the right ascension +** and declination at the catalog epoch and are in radians per TDB +** Julian year. +** +** The parallax and radial velocity are in the same frame. +** +** 3) Care is needed with units. The star coordinates are in radians +** and the proper motions in radians per Julian year, but the +** parallax is in arcseconds. +** +** 4) The RA proper motion is in terms of coordinate angle, not true +** angle. If the catalog uses arcseconds for both RA and Dec proper +** motions, the RA proper motion will need to be divided by cos(Dec) +** before use. +** +** 5) Straight-line motion at constant speed, in the inertial frame, +** is assumed. +** +** 6) An extremely small (or zero or negative) parallax is interpreted +** to mean that the object is on the "celestial sphere", the radius +** of which is an arbitrary (large) value (see the eraStarpv +** function for the value used). When the distance is overridden in +** this way, the status, initially zero, has 1 added to it. +** +** 7) If the space velocity is a significant fraction of c (see the +** constant VMAX in the function eraStarpv), it is arbitrarily set +** to zero. When this action occurs, 2 is added to the status. +** +** 8) The relativistic adjustment carried out in the eraStarpv function +** involves an iterative calculation. If the process fails to +** converge within a set number of iterations, 4 is added to the +** status. +** +** Called: +** eraStarpv star catalog data to space motion pv-vector +** eraPvu update a pv-vector +** eraPdp scalar product of two p-vectors +** eraPvstar space motion pv-vector to star catalog data +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double pv1[2][3], tl1, dt, pv[2][3], r2, rdv, v2, c2mv2, tl2, + pv2[2][3]; + int j1, j2, j; + + +/* RA,Dec etc. at the "before" epoch to space motion pv-vector. */ + j1 = eraStarpv(ra1, dec1, pmr1, pmd1, px1, rv1, pv1); + +/* Light time when observed (days). */ + tl1 = eraPm(pv1[0]) / ERFA_DC; + +/* Time interval, "before" to "after" (days). */ + dt = (ep2a - ep1a) + (ep2b - ep1b); + +/* Move star along track from the "before" observed position to the */ +/* "after" geometric position. */ + eraPvu(dt + tl1, pv1, pv); + +/* From this geometric position, deduce the observed light time (days) */ +/* at the "after" epoch (with theoretically unneccessary error check). */ + r2 = eraPdp(pv[0], pv[0]); + rdv = eraPdp(pv[0], pv[1]); + v2 = eraPdp(pv[1], pv[1]); + c2mv2 = ERFA_DC*ERFA_DC - v2; + if (c2mv2 <= 0) return -1; + tl2 = (-rdv + sqrt(rdv*rdv + c2mv2*r2)) / c2mv2; + +/* Move the position along track from the observed place at the */ +/* "before" epoch to the observed place at the "after" epoch. */ + eraPvu(dt + (tl1 - tl2), pv1, pv2); + +/* Space motion pv-vector to RA,Dec etc. at the "after" epoch. */ + j2 = eraPvstar(pv2, ra2, dec2, pmr2, pmd2, px2, rv2); + +/* Final status. */ + j = (j2 == 0) ? j1 : -1; + + return j; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/starpv.c b/ast/erfa/starpv.c new file mode 100644 index 0000000..c79fe77 --- /dev/null +++ b/ast/erfa/starpv.c @@ -0,0 +1,273 @@ +#include "erfa.h" + +int eraStarpv(double ra, double dec, + double pmr, double pmd, double px, double rv, + double pv[2][3]) +/* +** - - - - - - - - - - +** e r a S t a r p v +** - - - - - - - - - - +** +** Convert star catalog coordinates to position+velocity vector. +** +** Given (Note 1): +** ra double right ascension (radians) +** dec double declination (radians) +** pmr double RA proper motion (radians/year) +** pmd double Dec proper motion (radians/year) +** px double parallax (arcseconds) +** rv double radial velocity (km/s, positive = receding) +** +** Returned (Note 2): +** pv double[2][3] pv-vector (AU, AU/day) +** +** Returned (function value): +** int status: +** 0 = no warnings +** 1 = distance overridden (Note 6) +** 2 = excessive speed (Note 7) +** 4 = solution didn't converge (Note 8) +** else = binary logical OR of the above +** +** Notes: +** +** 1) The star data accepted by this function are "observables" for an +** imaginary observer at the solar-system barycenter. Proper motion +** and radial velocity are, strictly, in terms of barycentric +** coordinate time, TCB. For most practical applications, it is +** permissible to neglect the distinction between TCB and ordinary +** "proper" time on Earth (TT/TAI). The result will, as a rule, be +** limited by the intrinsic accuracy of the proper-motion and +** radial-velocity data; moreover, the pv-vector is likely to be +** merely an intermediate result, so that a change of time unit +** would cancel out overall. +** +** In accordance with normal star-catalog conventions, the object's +** right ascension and declination are freed from the effects of +** secular aberration. The frame, which is aligned to the catalog +** equator and equinox, is Lorentzian and centered on the SSB. +** +** 2) The resulting position and velocity pv-vector is with respect to +** the same frame and, like the catalog coordinates, is freed from +** the effects of secular aberration. Should the "coordinate +** direction", where the object was located at the catalog epoch, be +** required, it may be obtained by calculating the magnitude of the +** position vector pv[0][0-2] dividing by the speed of light in +** AU/day to give the light-time, and then multiplying the space +** velocity pv[1][0-2] by this light-time and adding the result to +** pv[0][0-2]. +** +** Summarizing, the pv-vector returned is for most stars almost +** identical to the result of applying the standard geometrical +** "space motion" transformation. The differences, which are the +** subject of the Stumpff paper referenced below, are: +** +** (i) In stars with significant radial velocity and proper motion, +** the constantly changing light-time distorts the apparent proper +** motion. Note that this is a classical, not a relativistic, +** effect. +** +** (ii) The transformation complies with special relativity. +** +** 3) Care is needed with units. The star coordinates are in radians +** and the proper motions in radians per Julian year, but the +** parallax is in arcseconds; the radial velocity is in km/s, but +** the pv-vector result is in AU and AU/day. +** +** 4) The RA proper motion is in terms of coordinate angle, not true +** angle. If the catalog uses arcseconds for both RA and Dec proper +** motions, the RA proper motion will need to be divided by cos(Dec) +** before use. +** +** 5) Straight-line motion at constant speed, in the inertial frame, +** is assumed. +** +** 6) An extremely small (or zero or negative) parallax is interpreted +** to mean that the object is on the "celestial sphere", the radius +** of which is an arbitrary (large) value (see the constant PXMIN). +** When the distance is overridden in this way, the status, +** initially zero, has 1 added to it. +** +** 7) If the space velocity is a significant fraction of c (see the +** constant VMAX), it is arbitrarily set to zero. When this action +** occurs, 2 is added to the status. +** +** 8) The relativistic adjustment involves an iterative calculation. +** If the process fails to converge within a set number (IMAX) of +** iterations, 4 is added to the status. +** +** 9) The inverse transformation is performed by the function +** eraPvstar. +** +** Called: +** eraS2pv spherical coordinates to pv-vector +** eraPm modulus of p-vector +** eraZp zero p-vector +** eraPn decompose p-vector into modulus and direction +** eraPdp scalar product of two p-vectors +** eraSxp multiply p-vector by scalar +** eraPmp p-vector minus p-vector +** eraPpp p-vector plus p-vector +** +** Reference: +** +** Stumpff, P., 1985, Astron.Astrophys. 144, 232-240. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ +/* Smallest allowed parallax */ + static const double PXMIN = 1e-7; + +/* Largest allowed speed (fraction of c) */ + static const double VMAX = 0.5; + +/* Maximum number of iterations for relativistic solution */ + static const int IMAX = 100; + + int i, iwarn; + double w, r, rd, rad, decd, v, x[3], usr[3], ust[3], + vsr, vst, betst, betsr, bett, betr, + dd, ddel, ur[3], ut[3], + d = 0.0, del = 0.0, /* to prevent */ + odd = 0.0, oddel = 0.0, /* compiler */ + od = 0.0, odel = 0.0; /* warnings */ + + +/* Distance (AU). */ + if (px >= PXMIN) { + w = px; + iwarn = 0; + } else { + w = PXMIN; + iwarn = 1; + } + r = ERFA_DR2AS / w; + +/* Radial velocity (AU/day). */ + rd = ERFA_DAYSEC * rv * 1e3 / ERFA_DAU; + +/* Proper motion (radian/day). */ + rad = pmr / ERFA_DJY; + decd = pmd / ERFA_DJY; + +/* To pv-vector (AU,AU/day). */ + eraS2pv(ra, dec, r, rad, decd, rd, pv); + +/* If excessive velocity, arbitrarily set it to zero. */ + v = eraPm(pv[1]); + if (v / ERFA_DC > VMAX) { + eraZp(pv[1]); + iwarn += 2; + } + +/* Isolate the radial component of the velocity (AU/day). */ + eraPn(pv[0], &w, x); + vsr = eraPdp(x, pv[1]); + eraSxp(vsr, x, usr); + +/* Isolate the transverse component of the velocity (AU/day). */ + eraPmp(pv[1], usr, ust); + vst = eraPm(ust); + +/* Special-relativity dimensionless parameters. */ + betsr = vsr / ERFA_DC; + betst = vst / ERFA_DC; + +/* Determine the inertial-to-observed relativistic correction terms. */ + bett = betst; + betr = betsr; + for (i = 0; i < IMAX; i++) { + d = 1.0 + betr; + del = sqrt(1.0 - betr*betr - bett*bett) - 1.0; + betr = d * betsr + del; + bett = d * betst; + if (i > 0) { + dd = fabs(d - od); + ddel = fabs(del - odel); + if ((i > 1) && (dd >= odd) && (ddel >= oddel)) break; + odd = dd; + oddel = ddel; + } + od = d; + odel = del; + } + if (i >= IMAX) iwarn += 4; + +/* Replace observed radial velocity with inertial value. */ + w = (betsr != 0.0) ? d + del / betsr : 1.0; + eraSxp(w, usr, ur); + +/* Replace observed tangential velocity with inertial value. */ + eraSxp(d, ust, ut); + +/* Combine the two to obtain the inertial space velocity. */ + eraPpp(ur, ut, pv[1]); + +/* Return the status. */ + return iwarn; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/sxp.c b/ast/erfa/sxp.c new file mode 100644 index 0000000..14e5b27 --- /dev/null +++ b/ast/erfa/sxp.c @@ -0,0 +1,93 @@ +#include "erfa.h" + +void eraSxp(double s, double p[3], double sp[3]) +/* +** - - - - - - - +** e r a S x p +** - - - - - - - +** +** Multiply a p-vector by a scalar. +** +** Given: +** s double scalar +** p double[3] p-vector +** +** Returned: +** sp double[3] s * p +** +** Note: +** It is permissible for p and sp to be the same array. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + sp[0] = s * p[0]; + sp[1] = s * p[1]; + sp[2] = s * p[2]; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/sxpv.c b/ast/erfa/sxpv.c new file mode 100644 index 0000000..0dcc03a --- /dev/null +++ b/ast/erfa/sxpv.c @@ -0,0 +1,94 @@ +#include "erfa.h" + +void eraSxpv(double s, double pv[2][3], double spv[2][3]) +/* +** - - - - - - - - +** e r a S x p v +** - - - - - - - - +** +** Multiply a pv-vector by a scalar. +** +** Given: +** s double scalar +** pv double[2][3] pv-vector +** +** Returned: +** spv double[2][3] s * pv +** +** Note: +** It is permissible for pv and spv to be the same array +** +** Called: +** eraS2xpv multiply pv-vector by two scalars +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraS2xpv(s, s, pv, spv); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/t_erfa_c.c b/ast/erfa/t_erfa_c.c new file mode 100644 index 0000000..47c7a7c --- /dev/null +++ b/ast/erfa/t_erfa_c.c @@ -0,0 +1,9311 @@ +#include <stdio.h> +#include <erfa.h> + +static int verbose = 0; + +/* +** - - - - - - - - - +** t _ e r f a _ c +** - - - - - - - - - +** +** Validate the ERFA C functions. +** +** Each ERFA function is at least called and a usually quite basic test +** is performed. Successful completion is signalled by a confirming +** message. Failure of a given function or group of functions results +** in error messages. +** +** All messages go to stdout. +** +** This revision: 2013 November 7 +** +*/ + +static void viv(int ival, int ivalok, + const char *func, const char *test, int *status) +/* +** - - - - +** v i v +** - - - - +** +** Validate an integer result. +** +** Internal function used by t_erfa_c program. +** +** Given: +** ival int value computed by function under test +** ivalok int correct value +** func char[] name of function under test +** test char[] name of individual test +** +** Given and returned: +** status int set to TRUE if test fails +** +** This revision: 2013 August 7 +*/ +{ + if (ival != ivalok) { + *status = 1; + printf("%s failed: %s want %d got %d\n", + func, test, ivalok, ival); + } else if (verbose) { + printf("%s passed: %s want %d got %d\n", + func, test, ivalok, ival); + } + +} + +static void vvd(double val, double valok, double dval, + const char *func, const char *test, int *status) +/* +** - - - - +** v v d +** - - - - +** +** Validate a double result. +** +** Internal function used by t_erfa_c program. +** +** Given: +** val double value computed by function under test +** valok double expected value +** dval double maximum allowable error +** func char[] name of function under test +** test char[] name of individual test +** +** Given and returned: +** status int set to TRUE if test fails +** +** This revision: 2013 August 7 +*/ +{ + double a, f; /* absolute and fractional error */ + + + a = val - valok; + if (fabs(a) > dval) { + f = fabs(valok / a); + *status = 1; + printf("%s failed: %s want %.20g got %.20g (1/%.3g)\n", + func, test, valok, val, f); + } else if (verbose) { + printf("%s passed: %s want %.20g got %.20g\n", + func, test, valok, val); + } + +} + +static void t_a2af(int *status) +/* +** - - - - - - - +** t _ a 2 a f +** - - - - - - - +** +** Test eraA2af function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraA2af, viv +** +** This revision: 2013 August 7 +*/ +{ + int idmsf[4]; + char s; + + + eraA2af(4, 2.345, &s, idmsf); + + viv(s, '+', "eraA2af", "s", status); + + viv(idmsf[0], 134, "eraA2af", "0", status); + viv(idmsf[1], 21, "eraA2af", "1", status); + viv(idmsf[2], 30, "eraA2af", "2", status); + viv(idmsf[3], 9706, "eraA2af", "3", status); + +} + +static void t_a2tf(int *status) +/* +** - - - - - - - +** t _ a 2 t f +** - - - - - - - +** +** Test eraA2tf function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraA2tf, viv +** +** This revision: 2013 August 7 +*/ +{ + int ihmsf[4]; + char s; + + + eraA2tf(4, -3.01234, &s, ihmsf); + + viv((int)s, '-', "eraA2tf", "s", status); + + viv(ihmsf[0], 11, "eraA2tf", "0", status); + viv(ihmsf[1], 30, "eraA2tf", "1", status); + viv(ihmsf[2], 22, "eraA2tf", "2", status); + viv(ihmsf[3], 6484, "eraA2tf", "3", status); + +} + +static void t_ab(int *status) +/* +** - - - - - +** t _ a b +** - - - - - +** +** Test eraAb function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraAb, vvd +** +** This revision: 2013 October 1 +*/ +{ + double pnat[3], v[3], s, bm1, ppr[3]; + + + pnat[0] = -0.76321968546737951; + pnat[1] = -0.60869453983060384; + pnat[2] = -0.21676408580639883; + v[0] = 2.1044018893653786e-5; + v[1] = -8.9108923304429319e-5; + v[2] = -3.8633714797716569e-5; + s = 0.99980921395708788; + bm1 = 0.99999999506209258; + + eraAb(pnat, v, s, bm1, ppr); + + vvd(ppr[0], -0.7631631094219556269, 1e-12, "eraAb", "1", status); + vvd(ppr[1], -0.6087553082505590832, 1e-12, "eraAb", "2", status); + vvd(ppr[2], -0.2167926269368471279, 1e-12, "eraAb", "3", status); + +} + +static void t_af2a(int *status) +/* +** - - - - - - - +** t _ a f 2 a +** - - - - - - - +** +** Test eraAf2a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraAf2a, viv +** +** This revision: 2013 August 7 +*/ +{ + double a; + int j; + + + j = eraAf2a('-', 45, 13, 27.2, &a); + + vvd(a, -0.7893115794313644842, 1e-12, "eraAf2a", "a", status); + viv(j, 0, "eraAf2a", "j", status); + +} + +static void t_anp(int *status) +/* +** - - - - - - +** t _ a n p +** - - - - - - +** +** Test eraAnp function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraAnp, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraAnp(-0.1), 6.183185307179586477, 1e-12, "eraAnp", "", status); +} + +static void t_anpm(int *status) +/* +** - - - - - - - +** t _ a n p m +** - - - - - - - +** +** Test eraAnpm function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraAnpm, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraAnpm(-4.0), 2.283185307179586477, 1e-12, "eraAnpm", "", status); +} + +static void t_apcg(int *status) +/* +** - - - - - - - +** t _ a p c g +** - - - - - - - +** +** Test eraApcg function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApcg, vvd +** +** This revision: 2013 October 3 +*/ +{ + double date1, date2, ebpv[2][3], ehp[3]; + eraASTROM astrom; + + + date1 = 2456165.5; + date2 = 0.401182685; + ebpv[0][0] = 0.901310875; + ebpv[0][1] = -0.417402664; + ebpv[0][2] = -0.180982288; + ebpv[1][0] = 0.00742727954; + ebpv[1][1] = 0.0140507459; + ebpv[1][2] = 0.00609045792; + ehp[0] = 0.903358544; + ehp[1] = -0.415395237; + ehp[2] = -0.180084014; + + eraApcg(date1, date2, ebpv, ehp, &astrom); + + vvd(astrom.pmt, 12.65133794027378508, 1e-11, + "eraApcg", "pmt", status); + vvd(astrom.eb[0], 0.901310875, 1e-12, + "eraApcg", "eb(1)", status); + vvd(astrom.eb[1], -0.417402664, 1e-12, + "eraApcg", "eb(2)", status); + vvd(astrom.eb[2], -0.180982288, 1e-12, + "eraApcg", "eb(3)", status); + vvd(astrom.eh[0], 0.8940025429324143045, 1e-12, + "eraApcg", "eh(1)", status); + vvd(astrom.eh[1], -0.4110930268679817955, 1e-12, + "eraApcg", "eh(2)", status); + vvd(astrom.eh[2], -0.1782189004872870264, 1e-12, + "eraApcg", "eh(3)", status); + vvd(astrom.em, 1.010465295811013146, 1e-12, + "eraApcg", "em", status); + vvd(astrom.v[0], 0.4289638897813379954e-4, 1e-16, + "eraApcg", "v(1_", status); + vvd(astrom.v[1], 0.8115034021720941898e-4, 1e-16, + "eraApcg", "v(2)", status); + vvd(astrom.v[2], 0.3517555123437237778e-4, 1e-16, + "eraApcg", "v(3)", status); + vvd(astrom.bm1, 0.9999999951686013336, 1e-12, + "eraApcg", "bm1", status); + vvd(astrom.bpn[0][0], 1.0, 0.0, + "eraApcg", "bpn(1,1)", status); + vvd(astrom.bpn[1][0], 0.0, 0.0, + "eraApcg", "bpn(2,1)", status); + vvd(astrom.bpn[2][0], 0.0, 0.0, + "eraApcg", "bpn(3,1)", status); + vvd(astrom.bpn[0][1], 0.0, 0.0, + "eraApcg", "bpn(1,2)", status); + vvd(astrom.bpn[1][1], 1.0, 0.0, + "eraApcg", "bpn(2,2)", status); + vvd(astrom.bpn[2][1], 0.0, 0.0, + "eraApcg", "bpn(3,2)", status); + vvd(astrom.bpn[0][2], 0.0, 0.0, + "eraApcg", "bpn(1,3)", status); + vvd(astrom.bpn[1][2], 0.0, 0.0, + "eraApcg", "bpn(2,3)", status); + vvd(astrom.bpn[2][2], 1.0, 0.0, + "eraApcg", "bpn(3,3)", status); + +} + +static void t_apcg13(int *status) +/* +** - - - - - - - - - +** t _ a p c g 1 3 +** - - - - - - - - - +** +** Test eraApcg13 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApcg13, vvd +** +** This revision: 2013 October 3 +*/ +{ + double date1, date2; + eraASTROM astrom; + + + date1 = 2456165.5; + date2 = 0.401182685; + + eraApcg13(date1, date2, &astrom); + + vvd(astrom.pmt, 12.65133794027378508, 1e-11, + "eraApcg13", "pmt", status); + vvd(astrom.eb[0], 0.9013108747340644755, 1e-12, + "eraApcg13", "eb(1)", status); + vvd(astrom.eb[1], -0.4174026640406119957, 1e-12, + "eraApcg13", "eb(2)", status); + vvd(astrom.eb[2], -0.1809822877867817771, 1e-12, + "eraApcg13", "eb(3)", status); + vvd(astrom.eh[0], 0.8940025429255499549, 1e-12, + "eraApcg13", "eh(1)", status); + vvd(astrom.eh[1], -0.4110930268331896318, 1e-12, + "eraApcg13", "eh(2)", status); + vvd(astrom.eh[2], -0.1782189006019749850, 1e-12, + "eraApcg13", "eh(3)", status); + vvd(astrom.em, 1.010465295964664178, 1e-12, + "eraApcg13", "em", status); + vvd(astrom.v[0], 0.4289638897157027528e-4, 1e-16, + "eraApcg13", "v(1)", status); + vvd(astrom.v[1], 0.8115034002544663526e-4, 1e-16, + "eraApcg13", "v(2)", status); + vvd(astrom.v[2], 0.3517555122593144633e-4, 1e-16, + "eraApcg13", "v(3)", status); + vvd(astrom.bm1, 0.9999999951686013498, 1e-12, + "eraApcg13", "bm1", status); + vvd(astrom.bpn[0][0], 1.0, 0.0, + "eraApcg13", "bpn(1,1)", status); + vvd(astrom.bpn[1][0], 0.0, 0.0, + "eraApcg13", "bpn(2,1)", status); + vvd(astrom.bpn[2][0], 0.0, 0.0, + "eraApcg13", "bpn(3,1)", status); + vvd(astrom.bpn[0][1], 0.0, 0.0, + "eraApcg13", "bpn(1,2)", status); + vvd(astrom.bpn[1][1], 1.0, 0.0, + "eraApcg13", "bpn(2,2)", status); + vvd(astrom.bpn[2][1], 0.0, 0.0, + "eraApcg13", "bpn(3,2)", status); + vvd(astrom.bpn[0][2], 0.0, 0.0, + "eraApcg13", "bpn(1,3)", status); + vvd(astrom.bpn[1][2], 0.0, 0.0, + "eraApcg13", "bpn(2,3)", status); + vvd(astrom.bpn[2][2], 1.0, 0.0, + "eraApcg13", "bpn(3,3)", status); + +} + +static void t_apci(int *status) +/* +** - - - - - - - +** t _ a p c i +** - - - - - - - +** +** Test eraApci function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApci, vvd +** +** This revision: 2013 October 3 +*/ +{ + double date1, date2, ebpv[2][3], ehp[3], x, y, s; + eraASTROM astrom; + + + date1 = 2456165.5; + date2 = 0.401182685; + ebpv[0][0] = 0.901310875; + ebpv[0][1] = -0.417402664; + ebpv[0][2] = -0.180982288; + ebpv[1][0] = 0.00742727954; + ebpv[1][1] = 0.0140507459; + ebpv[1][2] = 0.00609045792; + ehp[0] = 0.903358544; + ehp[1] = -0.415395237; + ehp[2] = -0.180084014; + x = 0.0013122272; + y = -2.92808623e-5; + s = 3.05749468e-8; + + eraApci(date1, date2, ebpv, ehp, x, y, s, &astrom); + + vvd(astrom.pmt, 12.65133794027378508, 1e-11, + "eraApci", "pmt", status); + vvd(astrom.eb[0], 0.901310875, 1e-12, + "eraApci", "eb(1)", status); + vvd(astrom.eb[1], -0.417402664, 1e-12, + "eraApci", "eb(2)", status); + vvd(astrom.eb[2], -0.180982288, 1e-12, + "eraApci", "eb(3)", status); + vvd(astrom.eh[0], 0.8940025429324143045, 1e-12, + "eraApci", "eh(1)", status); + vvd(astrom.eh[1], -0.4110930268679817955, 1e-12, + "eraApci", "eh(2)", status); + vvd(astrom.eh[2], -0.1782189004872870264, 1e-12, + "eraApci", "eh(3)", status); + vvd(astrom.em, 1.010465295811013146, 1e-12, + "eraApci", "em", status); + vvd(astrom.v[0], 0.4289638897813379954e-4, 1e-16, + "eraApci", "v(1)", status); + vvd(astrom.v[1], 0.8115034021720941898e-4, 1e-16, + "eraApci", "v(2)", status); + vvd(astrom.v[2], 0.3517555123437237778e-4, 1e-16, + "eraApci", "v(3)", status); + vvd(astrom.bm1, 0.9999999951686013336, 1e-12, + "eraApci", "bm1", status); + vvd(astrom.bpn[0][0], 0.9999991390295159156, 1e-12, + "eraApci", "bpn(1,1)", status); + vvd(astrom.bpn[1][0], 0.4978650072505016932e-7, 1e-12, + "eraApci", "bpn(2,1)", status); + vvd(astrom.bpn[2][0], 0.1312227200000000000e-2, 1e-12, + "eraApci", "bpn(3,1)", status); + vvd(astrom.bpn[0][1], -0.1136336653771609630e-7, 1e-12, + "eraApci", "bpn(1,2)", status); + vvd(astrom.bpn[1][1], 0.9999999995713154868, 1e-12, + "eraApci", "bpn(2,2)", status); + vvd(astrom.bpn[2][1], -0.2928086230000000000e-4, 1e-12, + "eraApci", "bpn(3,2)", status); + vvd(astrom.bpn[0][2], -0.1312227200895260194e-2, 1e-12, + "eraApci", "bpn(1,3)", status); + vvd(astrom.bpn[1][2], 0.2928082217872315680e-4, 1e-12, + "eraApci", "bpn(2,3)", status); + vvd(astrom.bpn[2][2], 0.9999991386008323373, 1e-12, + "eraApci", "bpn(3,3)", status); + +} + +static void t_apci13(int *status) +/* +** - - - - - - - - - +** t _ a p c i 1 3 +** - - - - - - - - - +** +** Test eraApci13 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApci13, vvd +** +** This revision: 2013 October 3 +*/ +{ + double date1, date2, eo; + eraASTROM astrom; + + + date1 = 2456165.5; + date2 = 0.401182685; + + eraApci13(date1, date2, &astrom, &eo); + + vvd(astrom.pmt, 12.65133794027378508, 1e-11, + "eraApci13", "pmt", status); + vvd(astrom.eb[0], 0.9013108747340644755, 1e-12, + "eraApci13", "eb(1)", status); + vvd(astrom.eb[1], -0.4174026640406119957, 1e-12, + "eraApci13", "eb(2)", status); + vvd(astrom.eb[2], -0.1809822877867817771, 1e-12, + "eraApci13", "eb(3)", status); + vvd(astrom.eh[0], 0.8940025429255499549, 1e-12, + "eraApci13", "eh(1)", status); + vvd(astrom.eh[1], -0.4110930268331896318, 1e-12, + "eraApci13", "eh(2)", status); + vvd(astrom.eh[2], -0.1782189006019749850, 1e-12, + "eraApci13", "eh(3)", status); + vvd(astrom.em, 1.010465295964664178, 1e-12, + "eraApci13", "em", status); + vvd(astrom.v[0], 0.4289638897157027528e-4, 1e-16, + "eraApci13", "v(1)", status); + vvd(astrom.v[1], 0.8115034002544663526e-4, 1e-16, + "eraApci13", "v(2)", status); + vvd(astrom.v[2], 0.3517555122593144633e-4, 1e-16, + "eraApci13", "v(3)", status); + vvd(astrom.bm1, 0.9999999951686013498, 1e-12, + "eraApci13", "bm1", status); + vvd(astrom.bpn[0][0], 0.9999992060376761710, 1e-12, + "eraApci13", "bpn(1,1)", status); + vvd(astrom.bpn[1][0], 0.4124244860106037157e-7, 1e-12, + "eraApci13", "bpn(2,1)", status); + vvd(astrom.bpn[2][0], 0.1260128571051709670e-2, 1e-12, + "eraApci13", "bpn(3,1)", status); + vvd(astrom.bpn[0][1], -0.1282291987222130690e-7, 1e-12, + "eraApci13", "bpn(1,2)", status); + vvd(astrom.bpn[1][1], 0.9999999997456835325, 1e-12, + "eraApci13", "bpn(2,2)", status); + vvd(astrom.bpn[2][1], -0.2255288829420524935e-4, 1e-12, + "eraApci13", "bpn(3,2)", status); + vvd(astrom.bpn[0][2], -0.1260128571661374559e-2, 1e-12, + "eraApci13", "bpn(1,3)", status); + vvd(astrom.bpn[1][2], 0.2255285422953395494e-4, 1e-12, + "eraApci13", "bpn(2,3)", status); + vvd(astrom.bpn[2][2], 0.9999992057833604343, 1e-12, + "eraApci13", "bpn(3,3)", status); + vvd(eo, -0.2900618712657375647e-2, 1e-12, + "eraApci13", "eo", status); + +} + +static void t_apco(int *status) +/* +** - - - - - - - +** t _ a p c o +** - - - - - - - +** +** Test eraApco function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApco, vvd +** +** This revision: 2013 October 3 +*/ +{ + double date1, date2, ebpv[2][3], ehp[3], x, y, s, + theta, elong, phi, hm, xp, yp, sp, refa, refb; + eraASTROM astrom; + + + date1 = 2456384.5; + date2 = 0.970031644; + ebpv[0][0] = -0.974170438; + ebpv[0][1] = -0.211520082; + ebpv[0][2] = -0.0917583024; + ebpv[1][0] = 0.00364365824; + ebpv[1][1] = -0.0154287319; + ebpv[1][2] = -0.00668922024; + ehp[0] = -0.973458265; + ehp[1] = -0.209215307; + ehp[2] = -0.0906996477; + x = 0.0013122272; + y = -2.92808623e-5; + s = 3.05749468e-8; + theta = 3.14540971; + elong = -0.527800806; + phi = -1.2345856; + hm = 2738.0; + xp = 2.47230737e-7; + yp = 1.82640464e-6; + sp = -3.01974337e-11; + refa = 0.000201418779; + refb = -2.36140831e-7; + + eraApco(date1, date2, ebpv, ehp, x, y, s, + theta, elong, phi, hm, xp, yp, sp, + refa, refb, &astrom); + + vvd(astrom.pmt, 13.25248468622587269, 1e-11, + "eraApco", "pmt", status); + vvd(astrom.eb[0], -0.9741827110630897003, 1e-12, + "eraApco", "eb(1)", status); + vvd(astrom.eb[1], -0.2115130190135014340, 1e-12, + "eraApco", "eb(2)", status); + vvd(astrom.eb[2], -0.09179840186968295686, 1e-12, + "eraApco", "eb(3)", status); + vvd(astrom.eh[0], -0.9736425571689670428, 1e-12, + "eraApco", "eh(1)", status); + vvd(astrom.eh[1], -0.2092452125848862201, 1e-12, + "eraApco", "eh(2)", status); + vvd(astrom.eh[2], -0.09075578152261439954, 1e-12, + "eraApco", "eh(3)", status); + vvd(astrom.em, 0.9998233241710617934, 1e-12, + "eraApco", "em", status); + vvd(astrom.v[0], 0.2078704985147609823e-4, 1e-16, + "eraApco", "v(1)", status); + vvd(astrom.v[1], -0.8955360074407552709e-4, 1e-16, + "eraApco", "v(2)", status); + vvd(astrom.v[2], -0.3863338980073114703e-4, 1e-16, + "eraApco", "v(3)", status); + vvd(astrom.bm1, 0.9999999950277561600, 1e-12, + "eraApco", "bm1", status); + vvd(astrom.bpn[0][0], 0.9999991390295159156, 1e-12, + "eraApco", "bpn(1,1)", status); + vvd(astrom.bpn[1][0], 0.4978650072505016932e-7, 1e-12, + "eraApco", "bpn(2,1)", status); + vvd(astrom.bpn[2][0], 0.1312227200000000000e-2, 1e-12, + "eraApco", "bpn(3,1)", status); + vvd(astrom.bpn[0][1], -0.1136336653771609630e-7, 1e-12, + "eraApco", "bpn(1,2)", status); + vvd(astrom.bpn[1][1], 0.9999999995713154868, 1e-12, + "eraApco", "bpn(2,2)", status); + vvd(astrom.bpn[2][1], -0.2928086230000000000e-4, 1e-12, + "eraApco", "bpn(3,2)", status); + vvd(astrom.bpn[0][2], -0.1312227200895260194e-2, 1e-12, + "eraApco", "bpn(1,3)", status); + vvd(astrom.bpn[1][2], 0.2928082217872315680e-4, 1e-12, + "eraApco", "bpn(2,3)", status); + vvd(astrom.bpn[2][2], 0.9999991386008323373, 1e-12, + "eraApco", "bpn(3,3)", status); + vvd(astrom.along, -0.5278008060301974337, 1e-12, + "eraApco", "along", status); + vvd(astrom.xpl, 0.1133427418174939329e-5, 1e-17, + "eraApco", "xpl", status); + vvd(astrom.ypl, 0.1453347595745898629e-5, 1e-17, + "eraApco", "ypl", status); + vvd(astrom.sphi, -0.9440115679003211329, 1e-12, + "eraApco", "sphi", status); + vvd(astrom.cphi, 0.3299123514971474711, 1e-12, + "eraApco", "cphi", status); + vvd(astrom.diurab, 0, 0, + "eraApco", "diurab", status); + vvd(astrom.eral, 2.617608903969802566, 1e-12, + "eraApco", "eral", status); + vvd(astrom.refa, 0.2014187790000000000e-3, 1e-15, + "eraApco", "refa", status); + vvd(astrom.refb, -0.2361408310000000000e-6, 1e-18, + "eraApco", "refb", status); + +} + +static void t_apco13(int *status) +/* +** - - - - - - - - - +** t _ a p c o 1 3 +** - - - - - - - - - +** +** Test eraApco13 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApco13, vvd, viv +** +** This revision: 2013 October 4 +*/ +{ + double utc1, utc2, dut1, elong, phi, hm, xp, yp, + phpa, tc, rh, wl, eo; + eraASTROM astrom; + int j; + + + utc1 = 2456384.5; + utc2 = 0.969254051; + dut1 = 0.1550675; + elong = -0.527800806; + phi = -1.2345856; + hm = 2738.0; + xp = 2.47230737e-7; + yp = 1.82640464e-6; + phpa = 731.0; + tc = 12.8; + rh = 0.59; + wl = 0.55; + + j = eraApco13(utc1, utc2, dut1, elong, phi, hm, xp, yp, + phpa, tc, rh, wl, &astrom, &eo); + + vvd(astrom.pmt, 13.25248468622475727, 1e-11, + "eraApco13", "pmt", status); + vvd(astrom.eb[0], -0.9741827107321449445, 1e-12, + "eraApco13", "eb(1)", status); + vvd(astrom.eb[1], -0.2115130190489386190, 1e-12, + "eraApco13", "eb(2)", status); + vvd(astrom.eb[2], -0.09179840189515518726, 1e-12, + "eraApco13", "eb(3)", status); + vvd(astrom.eh[0], -0.9736425572586866640, 1e-12, + "eraApco13", "eh(1)", status); + vvd(astrom.eh[1], -0.2092452121602867431, 1e-12, + "eraApco13", "eh(2)", status); + vvd(astrom.eh[2], -0.09075578153903832650, 1e-12, + "eraApco13", "eh(3)", status); + vvd(astrom.em, 0.9998233240914558422, 1e-12, + "eraApco13", "em", status); + vvd(astrom.v[0], 0.2078704986751370303e-4, 1e-16, + "eraApco13", "v(1)", status); + vvd(astrom.v[1], -0.8955360100494469232e-4, 1e-16, + "eraApco13", "v(2)", status); + vvd(astrom.v[2], -0.3863338978840051024e-4, 1e-16, + "eraApco13", "v(3)", status); + vvd(astrom.bm1, 0.9999999950277561368, 1e-12, + "eraApco13", "bm1", status); + vvd(astrom.bpn[0][0], 0.9999991390295147999, 1e-12, + "eraApco13", "bpn(1,1)", status); + vvd(astrom.bpn[1][0], 0.4978650075315529277e-7, 1e-12, + "eraApco13", "bpn(2,1)", status); + vvd(astrom.bpn[2][0], 0.001312227200850293372, 1e-12, + "eraApco13", "bpn(3,1)", status); + vvd(astrom.bpn[0][1], -0.1136336652812486604e-7, 1e-12, + "eraApco13", "bpn(1,2)", status); + vvd(astrom.bpn[1][1], 0.9999999995713154865, 1e-12, + "eraApco13", "bpn(2,2)", status); + vvd(astrom.bpn[2][1], -0.2928086230975367296e-4, 1e-12, + "eraApco13", "bpn(3,2)", status); + vvd(astrom.bpn[0][2], -0.001312227201745553566, 1e-12, + "eraApco13", "bpn(1,3)", status); + vvd(astrom.bpn[1][2], 0.2928082218847679162e-4, 1e-12, + "eraApco13", "bpn(2,3)", status); + vvd(astrom.bpn[2][2], 0.9999991386008312212, 1e-12, + "eraApco13", "bpn(3,3)", status); + vvd(astrom.along, -0.5278008060301974337, 1e-12, + "eraApco13", "along", status); + vvd(astrom.xpl, 0.1133427418174939329e-5, 1e-17, + "eraApco13", "xpl", status); + vvd(astrom.ypl, 0.1453347595745898629e-5, 1e-17, + "eraApco13", "ypl", status); + vvd(astrom.sphi, -0.9440115679003211329, 1e-12, + "eraApco13", "sphi", status); + vvd(astrom.cphi, 0.3299123514971474711, 1e-12, + "eraApco13", "cphi", status); + vvd(astrom.diurab, 0, 0, + "eraApco13", "diurab", status); + vvd(astrom.eral, 2.617608909189066140, 1e-12, + "eraApco13", "eral", status); + vvd(astrom.refa, 0.2014187785940396921e-3, 1e-15, + "eraApco13", "refa", status); + vvd(astrom.refb, -0.2361408314943696227e-6, 1e-18, + "eraApco13", "refb", status); + vvd(eo, -0.003020548354802412839, 1e-14, + "eraApco13", "eo", status); + viv(j, 0, "eraApco13", "j", status); + +} + +static void t_apcs(int *status) +/* +** - - - - - - - +** t _ a p c s +** - - - - - - - +** +** Test eraApcs function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApcs, vvd +** +** This revision: 2013 October 3 +*/ +{ + double date1, date2, pv[2][3], ebpv[2][3], ehp[3]; + eraASTROM astrom; + + + date1 = 2456384.5; + date2 = 0.970031644; + pv[0][0] = -1836024.09; + pv[0][1] = 1056607.72; + pv[0][2] = -5998795.26; + pv[1][0] = -77.0361767; + pv[1][1] = -133.310856; + pv[1][2] = 0.0971855934; + ebpv[0][0] = -0.974170438; + ebpv[0][1] = -0.211520082; + ebpv[0][2] = -0.0917583024; + ebpv[1][0] = 0.00364365824; + ebpv[1][1] = -0.0154287319; + ebpv[1][2] = -0.00668922024; + ehp[0] = -0.973458265; + ehp[1] = -0.209215307; + ehp[2] = -0.0906996477; + + eraApcs(date1, date2, pv, ebpv, ehp, &astrom); + + vvd(astrom.pmt, 13.25248468622587269, 1e-11, + "eraApcs", "pmt", status); + vvd(astrom.eb[0], -0.9741827110630456169, 1e-12, + "eraApcs", "eb(1)", status); + vvd(astrom.eb[1], -0.2115130190136085494, 1e-12, + "eraApcs", "eb(2)", status); + vvd(astrom.eb[2], -0.09179840186973175487, 1e-12, + "eraApcs", "eb(3)", status); + vvd(astrom.eh[0], -0.9736425571689386099, 1e-12, + "eraApcs", "eh(1)", status); + vvd(astrom.eh[1], -0.2092452125849967195, 1e-12, + "eraApcs", "eh(2)", status); + vvd(astrom.eh[2], -0.09075578152266466572, 1e-12, + "eraApcs", "eh(3)", status); + vvd(astrom.em, 0.9998233241710457140, 1e-12, + "eraApcs", "em", status); + vvd(astrom.v[0], 0.2078704985513566571e-4, 1e-16, + "eraApcs", "v(1)", status); + vvd(astrom.v[1], -0.8955360074245006073e-4, 1e-16, + "eraApcs", "v(2)", status); + vvd(astrom.v[2], -0.3863338980073572719e-4, 1e-16, + "eraApcs", "v(3)", status); + vvd(astrom.bm1, 0.9999999950277561601, 1e-12, + "eraApcs", "bm1", status); + vvd(astrom.bpn[0][0], 1, 0, + "eraApcs", "bpn(1,1)", status); + vvd(astrom.bpn[1][0], 0, 0, + "eraApcs", "bpn(2,1)", status); + vvd(astrom.bpn[2][0], 0, 0, + "eraApcs", "bpn(3,1)", status); + vvd(astrom.bpn[0][1], 0, 0, + "eraApcs", "bpn(1,2)", status); + vvd(astrom.bpn[1][1], 1, 0, + "eraApcs", "bpn(2,2)", status); + vvd(astrom.bpn[2][1], 0, 0, + "eraApcs", "bpn(3,2)", status); + vvd(astrom.bpn[0][2], 0, 0, + "eraApcs", "bpn(1,3)", status); + vvd(astrom.bpn[1][2], 0, 0, + "eraApcs", "bpn(2,3)", status); + vvd(astrom.bpn[2][2], 1, 0, + "eraApcs", "bpn(3,3)", status); + +} + +static void t_apcs13(int *status) +/* +** - - - - - - - - - +** t _ a p c s 1 3 +** - - - - - - - - - +** +** Test eraApcs13 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApcs13, vvd +** +** This revision: 2013 October 3 +*/ +{ + double date1, date2, pv[2][3]; + eraASTROM astrom; + + + date1 = 2456165.5; + date2 = 0.401182685; + pv[0][0] = -6241497.16; + pv[0][1] = 401346.896; + pv[0][2] = -1251136.04; + pv[1][0] = -29.264597; + pv[1][1] = -455.021831; + pv[1][2] = 0.0266151194; + + eraApcs13(date1, date2, pv, &astrom); + + vvd(astrom.pmt, 12.65133794027378508, 1e-11, + "eraApcs13", "pmt", status); + vvd(astrom.eb[0], 0.9012691529023298391, 1e-12, + "eraApcs13", "eb(1)", status); + vvd(astrom.eb[1], -0.4173999812023068781, 1e-12, + "eraApcs13", "eb(2)", status); + vvd(astrom.eb[2], -0.1809906511146821008, 1e-12, + "eraApcs13", "eb(3)", status); + vvd(astrom.eh[0], 0.8939939101759726824, 1e-12, + "eraApcs13", "eh(1)", status); + vvd(astrom.eh[1], -0.4111053891734599955, 1e-12, + "eraApcs13", "eh(2)", status); + vvd(astrom.eh[2], -0.1782336880637689334, 1e-12, + "eraApcs13", "eh(3)", status); + vvd(astrom.em, 1.010428384373318379, 1e-12, + "eraApcs13", "em", status); + vvd(astrom.v[0], 0.4279877278327626511e-4, 1e-16, + "eraApcs13", "v(1)", status); + vvd(astrom.v[1], 0.7963255057040027770e-4, 1e-16, + "eraApcs13", "v(2)", status); + vvd(astrom.v[2], 0.3517564000441374759e-4, 1e-16, + "eraApcs13", "v(3)", status); + vvd(astrom.bm1, 0.9999999952947981330, 1e-12, + "eraApcs13", "bm1", status); + vvd(astrom.bpn[0][0], 1, 0, + "eraApcs13", "bpn(1,1)", status); + vvd(astrom.bpn[1][0], 0, 0, + "eraApcs13", "bpn(2,1)", status); + vvd(astrom.bpn[2][0], 0, 0, + "eraApcs13", "bpn(3,1)", status); + vvd(astrom.bpn[0][1], 0, 0, + "eraApcs13", "bpn(1,2)", status); + vvd(astrom.bpn[1][1], 1, 0, + "eraApcs13", "bpn(2,2)", status); + vvd(astrom.bpn[2][1], 0, 0, + "eraApcs13", "bpn(3,2)", status); + vvd(astrom.bpn[0][2], 0, 0, + "eraApcs13", "bpn(1,3)", status); + vvd(astrom.bpn[1][2], 0, 0, + "eraApcs13", "bpn(2,3)", status); + vvd(astrom.bpn[2][2], 1, 0, + "eraApcs13", "bpn(3,3)", status); + +} + +static void t_aper(int *status) +/* +** - - - - - - - +** t _ a p e r +** - - - - - - - +* +** Test eraAper function. +* +** Returned: +** status int FALSE = success, TRUE = fail +* +** Called: eraAper, vvd +* +** This revision: 2013 October 3 +*/ +{ + double theta; + eraASTROM astrom; + + + astrom.along = 1.234; + theta = 5.678; + + eraAper(theta, &astrom); + + vvd(astrom.eral, 6.912000000000000000, 1e-12, + "eraAper", "pmt", status); + +} + +static void t_aper13(int *status) +/* +** - - - - - - - - - +** t _ a p e r 1 3 +** - - - - - - - - - +** +** Test eraAper13 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraAper13, vvd +** +** This revision: 2013 October 3 +*/ +{ + double ut11, ut12; + eraASTROM astrom; + + + astrom.along = 1.234; + ut11 = 2456165.5; + ut12 = 0.401182685; + + eraAper13(ut11, ut12, &astrom); + + vvd(astrom.eral, 3.316236661789694933, 1e-12, + "eraAper13", "pmt", status); + +} + +static void t_apio(int *status) +/* +** - - - - - - - +** t _ a p i o +** - - - - - - - +** +** Test eraApio function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApio, vvd +** +** This revision: 2013 October 3 +*/ +{ + double sp, theta, elong, phi, hm, xp, yp, refa, refb; + eraASTROM astrom; + + + sp = -3.01974337e-11; + theta = 3.14540971; + elong = -0.527800806; + phi = -1.2345856; + hm = 2738.0; + xp = 2.47230737e-7; + yp = 1.82640464e-6; + refa = 0.000201418779; + refb = -2.36140831e-7; + + eraApio(sp, theta, elong, phi, hm, xp, yp, refa, refb, &astrom); + + vvd(astrom.along, -0.5278008060301974337, 1e-12, + "eraApio", "along", status); + vvd(astrom.xpl, 0.1133427418174939329e-5, 1e-17, + "eraApio", "xpl", status); + vvd(astrom.ypl, 0.1453347595745898629e-5, 1e-17, + "eraApio", "ypl", status); + vvd(astrom.sphi, -0.9440115679003211329, 1e-12, + "eraApio", "sphi", status); + vvd(astrom.cphi, 0.3299123514971474711, 1e-12, + "eraApio", "cphi", status); + vvd(astrom.diurab, 0.5135843661699913529e-6, 1e-12, + "eraApio", "diurab", status); + vvd(astrom.eral, 2.617608903969802566, 1e-12, + "eraApio", "eral", status); + vvd(astrom.refa, 0.2014187790000000000e-3, 1e-15, + "eraApio", "refa", status); + vvd(astrom.refb, -0.2361408310000000000e-6, 1e-18, + "eraApio", "refb", status); + +} + +static void t_apio13(int *status) +/* +** - - - - - - - - - +** t _ a p i o 1 3 +** - - - - - - - - - +** +** Test eraApio13 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApio13, vvd, viv +** +** This revision: 2013 October 4 +*/ +{ + double utc1, utc2, dut1, elong, phi, hm, xp, yp, phpa, tc, rh, wl; + int j; + eraASTROM astrom; + + + utc1 = 2456384.5; + utc2 = 0.969254051; + dut1 = 0.1550675; + elong = -0.527800806; + phi = -1.2345856; + hm = 2738.0; + xp = 2.47230737e-7; + yp = 1.82640464e-6; + phpa = 731.0; + tc = 12.8; + rh = 0.59; + wl = 0.55; + + j = eraApio13(utc1, utc2, dut1, elong, phi, hm, xp, yp, + phpa, tc, rh, wl, &astrom); + + vvd(astrom.along, -0.5278008060301974337, 1e-12, + "eraApio13", "along", status); + vvd(astrom.xpl, 0.1133427418174939329e-5, 1e-17, + "eraApio13", "xpl", status); + vvd(astrom.ypl, 0.1453347595745898629e-5, 1e-17, + "eraApio13", "ypl", status); + vvd(astrom.sphi, -0.9440115679003211329, 1e-12, + "eraApio13", "sphi", status); + vvd(astrom.cphi, 0.3299123514971474711, 1e-12, + "eraApio13", "cphi", status); + vvd(astrom.diurab, 0.5135843661699913529e-6, 1e-12, + "eraApio13", "diurab", status); + vvd(astrom.eral, 2.617608909189066140, 1e-12, + "eraApio13", "eral", status); + vvd(astrom.refa, 0.2014187785940396921e-3, 1e-15, + "eraApio13", "refa", status); + vvd(astrom.refb, -0.2361408314943696227e-6, 1e-18, + "eraApio13", "refb", status); + viv(j, 0, "eraApio13", "j", status); + +} + +static void t_atci13(int *status) +/* +** - - - - - - - - - +** t _ a t c i 1 3 +** - - - - - - - - - +** +** Test eraAtci13 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraAtci13, vvd +** +** This revision: 2013 October 3 +*/ +{ + double rc, dc, pr, pd, px, rv, date1, date2, ri, di, eo; + + + rc = 2.71; + dc = 0.174; + pr = 1e-5; + pd = 5e-6; + px = 0.1; + rv = 55.0; + date1 = 2456165.5; + date2 = 0.401182685; + + eraAtci13(rc, dc, pr, pd, px, rv, date1, date2, &ri, &di, &eo); + + vvd(ri, 2.710121572969038991, 1e-12, + "eraAtci13", "ri", status); + vvd(di, 0.1729371367218230438, 1e-12, + "eraAtci13", "di", status); + vvd(eo, -0.002900618712657375647, 1e-14, + "eraAtci13", "eo", status); + +} + +static void t_atciq(int *status) +/* +** - - - - - - - - +** t _ a t c i q +** - - - - - - - - +** +** Test eraAtciq function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApci13, eraAtciq, vvd +** +** This revision: 2013 October 3 +*/ +{ + double date1, date2, eo, rc, dc, pr, pd, px, rv, ri, di; + eraASTROM astrom; + + date1 = 2456165.5; + date2 = 0.401182685; + eraApci13(date1, date2, &astrom, &eo); + rc = 2.71; + dc = 0.174; + pr = 1e-5; + pd = 5e-6; + px = 0.1; + rv = 55.0; + + eraAtciq(rc, dc, pr, pd, px, rv, &astrom, &ri, &di); + + vvd(ri, 2.710121572969038991, 1e-12, "eraAtciq", "ri", status); + vvd(di, 0.1729371367218230438, 1e-12, "eraAtciq", "di", status); + +} + +static void t_atciqn(int *status) +/* +** - - - - - - - - - +** t _ a t c i q n +** - - - - - - - - - +** +** Test eraAtciqn function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApci13, eraAtciqn, vvd +** +** This revision: 2013 October 3 +*/ +{ + eraLDBODY b[3]; + double date1, date2, eo, rc, dc, pr, pd, px, rv, ri, di; + eraASTROM astrom; + + date1 = 2456165.5; + date2 = 0.401182685; + eraApci13(date1, date2, &astrom, &eo); + rc = 2.71; + dc = 0.174; + pr = 1e-5; + pd = 5e-6; + px = 0.1; + rv = 55.0; + b[0].bm = 0.00028574; + b[0].dl = 3e-10; + b[0].pv[0][0] = -7.81014427; + b[0].pv[0][1] = -5.60956681; + b[0].pv[0][2] = -1.98079819; + b[0].pv[1][0] = 0.0030723249; + b[0].pv[1][1] = -0.00406995477; + b[0].pv[1][2] = -0.00181335842; + b[1].bm = 0.00095435; + b[1].dl = 3e-9; + b[1].pv[0][0] = 0.738098796; + b[1].pv[0][1] = 4.63658692; + b[1].pv[0][2] = 1.9693136; + b[1].pv[1][0] = -0.00755816922; + b[1].pv[1][1] = 0.00126913722; + b[1].pv[1][2] = 0.000727999001; + b[2].bm = 1.0; + b[2].dl = 6e-6; + b[2].pv[0][0] = -0.000712174377; + b[2].pv[0][1] = -0.00230478303; + b[2].pv[0][2] = -0.00105865966; + b[2].pv[1][0] = 6.29235213e-6; + b[2].pv[1][1] = -3.30888387e-7; + b[2].pv[1][2] = -2.96486623e-7; + + eraAtciqn ( rc, dc, pr, pd, px, rv, &astrom, 3, b, &ri, &di); + + vvd(ri, 2.710122008105325582, 1e-12, "eraAtciqn", "ri", status); + vvd(di, 0.1729371916491459122, 1e-12, "eraAtciqn", "di", status); + +} + +static void t_atciqz(int *status) +/* +** - - - - - - - - - +** t _ a t c i q z +** - - - - - - - - - +** +** Test eraAtciqz function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApci13, eraAtciqz, vvd +** +** This revision: 2013 October 3 +*/ +{ + double date1, date2, eo, rc, dc, ri, di; + eraASTROM astrom; + + + date1 = 2456165.5; + date2 = 0.401182685; + eraApci13(date1, date2, &astrom, &eo); + rc = 2.71; + dc = 0.174; + + eraAtciqz(rc, dc, &astrom, &ri, &di); + + vvd(ri, 2.709994899247599271, 1e-12, "eraAtciqz", "ri", status); + vvd(di, 0.1728740720983623469, 1e-12, "eraAtciqz", "di", status); + +} + +static void t_atco13(int *status) +/* +** - - - - - - - - - +** t _ a t c o 1 3 +** - - - - - - - - - +** +** Test eraAtco13 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraAtco13, vvd, viv +** +** This revision: 2013 October 4 +*/ +{ + double rc, dc, pr, pd, px, rv, utc1, utc2, dut1, + elong, phi, hm, xp, yp, phpa, tc, rh, wl, + aob, zob, hob, dob, rob, eo; + int j; + + + rc = 2.71; + dc = 0.174; + pr = 1e-5; + pd = 5e-6; + px = 0.1; + rv = 55.0; + utc1 = 2456384.5; + utc2 = 0.969254051; + dut1 = 0.1550675; + elong = -0.527800806; + phi = -1.2345856; + hm = 2738.0; + xp = 2.47230737e-7; + yp = 1.82640464e-6; + phpa = 731.0; + tc = 12.8; + rh = 0.59; + wl = 0.55; + + j = eraAtco13(rc, dc, pr, pd, px, rv, + utc1, utc2, dut1, elong, phi, hm, xp, yp, + phpa, tc, rh, wl, + &aob, &zob, &hob, &dob, &rob, &eo); + + vvd(aob, 0.09251774485358230653, 1e-12, "eraAtco13", "aob", status); + vvd(zob, 1.407661405256767021, 1e-12, "eraAtco13", "zob", status); + vvd(hob, -0.09265154431403157925, 1e-12, "eraAtco13", "hob", status); + vvd(dob, 0.1716626560075591655, 1e-12, "eraAtco13", "dob", status); + vvd(rob, 2.710260453503097719, 1e-12, "eraAtco13", "rob", status); + vvd(eo, -0.003020548354802412839, 1e-14, "eraAtco13", "eo", status); + viv(j, 0, "eraAtco13", "j", status); + +} + +static void t_atic13(int *status) +/* +** - - - - - - - - - +** t _ a t i c 1 3 +** - - - - - - - - - +** +** Test eraAtic13 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraAtic13, vvd +** +** This revision: 2013 October 3 +*/ +{ + double ri, di, date1, date2, rc, dc, eo; + + + ri = 2.710121572969038991; + di = 0.1729371367218230438; + date1 = 2456165.5; + date2 = 0.401182685; + + eraAtic13(ri, di, date1, date2, &rc, &dc, &eo); + + vvd(rc, 2.710126504531374930, 1e-12, "eraAtic13", "rc", status); + vvd(dc, 0.1740632537628342320, 1e-12, "eraAtic13", "dc", status); + vvd(eo, -0.002900618712657375647, 1e-14, "eraAtic13", "eo", status); + +} + +static void t_aticq(int *status) +/* +** - - - - - - - - +** t _ a t i c q +** - - - - - - - - +** +** Test eraAticq function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApci13, eraAticq, vvd +** +** This revision: 2013 October 3 +*/ +{ + double date1, date2, eo, ri, di, rc, dc; + eraASTROM astrom; + + + date1 = 2456165.5; + date2 = 0.401182685; + eraApci13(date1, date2, &astrom, &eo); + ri = 2.710121572969038991; + di = 0.1729371367218230438; + + eraAticq(ri, di, &astrom, &rc, &dc); + + vvd(rc, 2.710126504531374930, 1e-12, "eraAticq", "rc", status); + vvd(dc, 0.1740632537628342320, 1e-12, "eraAticq", "dc", status); + +} + +static void t_aticqn(int *status) +/* +** - - - - - - - - - +** t _ a t i c q n +** - - - - - - - - - +** +** Test eraAticqn function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApci13, eraAticqn, vvd +** +** This revision: 2013 October 3 +*/ +{ + double date1, date2, eo, ri, di, rc, dc; + eraLDBODY b[3]; + eraASTROM astrom; + + + date1 = 2456165.5; + date2 = 0.401182685; + eraApci13(date1, date2, &astrom, &eo); + ri = 2.709994899247599271; + di = 0.1728740720983623469; + b[0].bm = 0.00028574; + b[0].dl = 3e-10; + b[0].pv[0][0] = -7.81014427; + b[0].pv[0][1] = -5.60956681; + b[0].pv[0][2] = -1.98079819; + b[0].pv[1][0] = 0.0030723249; + b[0].pv[1][1] = -0.00406995477; + b[0].pv[1][2] = -0.00181335842; + b[1].bm = 0.00095435; + b[1].dl = 3e-9; + b[1].pv[0][0] = 0.738098796; + b[1].pv[0][1] = 4.63658692; + b[1].pv[0][2] = 1.9693136; + b[1].pv[1][0] = -0.00755816922; + b[1].pv[1][1] = 0.00126913722; + b[1].pv[1][2] = 0.000727999001; + b[2].bm = 1.0; + b[2].dl = 6e-6; + b[2].pv[0][0] = -0.000712174377; + b[2].pv[0][1] = -0.00230478303; + b[2].pv[0][2] = -0.00105865966; + b[2].pv[1][0] = 6.29235213e-6; + b[2].pv[1][1] = -3.30888387e-7; + b[2].pv[1][2] = -2.96486623e-7; + + eraAticqn(ri, di, &astrom, 3, b, &rc, &dc); + + vvd(rc, 2.709999575032685412, 1e-12, "eraAtciqn", "rc", status); + vvd(dc, 0.1739999656317778034, 1e-12, "eraAtciqn", "dc", status); + +} + +static void t_atio13(int *status) +/* +** - - - - - - - - - +** t _ a t i o 1 3 +** - - - - - - - - - +** +** Test eraAtio13 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraAtio13, vvd, viv +** +** This revision: 2013 October 3 +*/ +{ + double ri, di, utc1, utc2, dut1, elong, phi, hm, xp, yp, + phpa, tc, rh, wl, aob, zob, hob, dob, rob; + int j; + + + ri = 2.710121572969038991; + di = 0.1729371367218230438; + utc1 = 2456384.5; + utc2 = 0.969254051; + dut1 = 0.1550675; + elong = -0.527800806; + phi = -1.2345856; + hm = 2738.0; + xp = 2.47230737e-7; + yp = 1.82640464e-6; + phpa = 731.0; + tc = 12.8; + rh = 0.59; + wl = 0.55; + + j = eraAtio13(ri, di, utc1, utc2, dut1, elong, phi, hm, + xp, yp, phpa, tc, rh, wl, + &aob, &zob, &hob, &dob, &rob); + + vvd(aob, 0.09233952224794989993, 1e-12, "eraAtio13", "aob", status); + vvd(zob, 1.407758704513722461, 1e-12, "eraAtio13", "zob", status); + vvd(hob, -0.09247619879782006106, 1e-12, "eraAtio13", "hob", status); + vvd(dob, 0.1717653435758265198, 1e-12, "eraAtio13", "dob", status); + vvd(rob, 2.710085107986886201, 1e-12, "eraAtio13", "rob", status); + viv(j, 0, "eraAtio13", "j", status); + +} + +static void t_atioq(int *status) +/* +** - - - - - - - - +** t _ a t i o q +** - - - - - - - - +** +** Test eraAtioq function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraApio13, eraAtioq, vvd, viv +** +** This revision: 2013 October 4 +*/ +{ + double utc1, utc2, dut1, elong, phi, hm, xp, yp, + phpa, tc, rh, wl, ri, di, aob, zob, hob, dob, rob; + eraASTROM astrom; + + + utc1 = 2456384.5; + utc2 = 0.969254051; + dut1 = 0.1550675; + elong = -0.527800806; + phi = -1.2345856; + hm = 2738.0; + xp = 2.47230737e-7; + yp = 1.82640464e-6; + phpa = 731.0; + tc = 12.8; + rh = 0.59; + wl = 0.55; + (void) eraApio13(utc1, utc2, dut1, elong, phi, hm, xp, yp, + phpa, tc, rh, wl, &astrom); + ri = 2.710121572969038991; + di = 0.1729371367218230438; + + eraAtioq(ri, di, &astrom, &aob, &zob, &hob, &dob, &rob); + + vvd(aob, 0.09233952224794989993, 1e-12, "eraAtioq", "aob", status); + vvd(zob, 1.407758704513722461, 1e-12, "eraAtioq", "zob", status); + vvd(hob, -0.09247619879782006106, 1e-12, "eraAtioq", "hob", status); + vvd(dob, 0.1717653435758265198, 1e-12, "eraAtioq", "dob", status); + vvd(rob, 2.710085107986886201, 1e-12, "eraAtioq", "rob", status); + +} + +static void t_atoc13(int *status) +/* +** - - - - - - - - - +** t _ a t o c 1 3 +** - - - - - - - - - +** +** Test eraAtoc13 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraAtoc13, vvd, viv +** +** This revision: 2013 October 3 +*/ +{ + double utc1, utc2, dut1, + elong, phi, hm, xp, yp, phpa, tc, rh, wl, + ob1, ob2, rc, dc; + int j; + + + utc1 = 2456384.5; + utc2 = 0.969254051; + dut1 = 0.1550675; + elong = -0.527800806; + phi = -1.2345856; + hm = 2738.0; + xp = 2.47230737e-7; + yp = 1.82640464e-6; + phpa = 731.0; + tc = 12.8; + rh = 0.59; + wl = 0.55; + + ob1 = 2.710085107986886201; + ob2 = 0.1717653435758265198; + j = eraAtoc13 ( "R", ob1, ob2, utc1, utc2, dut1, + elong, phi, hm, xp, yp, phpa, tc, rh, wl, + &rc, &dc); + vvd(rc, 2.709956744661000609, 1e-12, "eraAtoc13", "R/rc", status); + vvd(dc, 0.1741696500895398562, 1e-12, "eraAtoc13", "R/dc", status); + viv(j, 0, "eraAtoc13", "R/j", status); + + ob1 = -0.09247619879782006106; + ob2 = 0.1717653435758265198; + j = eraAtoc13 ( "H", ob1, ob2, utc1, utc2, dut1, + elong, phi, hm, xp, yp, phpa, tc, rh, wl, + &rc, &dc); + vvd(rc, 2.709956744661000609, 1e-12, "eraAtoc13", "H/rc", status); + vvd(dc, 0.1741696500895398562, 1e-12, "eraAtoc13", "H/dc", status); + viv(j, 0, "eraAtoc13", "H/j", status); + + ob1 = 0.09233952224794989993; + ob2 = 1.407758704513722461; + j = eraAtoc13 ( "A", ob1, ob2, utc1, utc2, dut1, + elong, phi, hm, xp, yp, phpa, tc, rh, wl, + &rc, &dc); + vvd(rc, 2.709956744661000609, 1e-12, "eraAtoc13", "A/rc", status); + vvd(dc, 0.1741696500895398565, 1e-12, "eraAtoc13", "A/dc", status); + viv(j, 0, "eraAtoc13", "A/j", status); + +} + +static void t_atoi13(int *status) +/* +** - - - - - - - - - +** t _ a t o i 1 3 +** - - - - - - - - - +** +** Test eraAtoi13 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraAtoi13, vvd, viv +** +** This revision: 2013 October 3 +*/ +{ + double utc1, utc2, dut1, elong, phi, hm, xp, yp, phpa, tc, rh, wl, + ob1, ob2, ri, di; + int j; + + + utc1 = 2456384.5; + utc2 = 0.969254051; + dut1 = 0.1550675; + elong = -0.527800806; + phi = -1.2345856; + hm = 2738.0; + xp = 2.47230737e-7; + yp = 1.82640464e-6; + phpa = 731.0; + tc = 12.8; + rh = 0.59; + wl = 0.55; + + ob1 = 2.710085107986886201; + ob2 = 0.1717653435758265198; + j = eraAtoi13 ( "R", ob1, ob2, utc1, utc2, dut1, + elong, phi, hm, xp, yp, phpa, tc, rh, wl, + &ri, &di); + vvd(ri, 2.710121574449135955, 1e-12, "eraAtoi13", "R/ri", status); + vvd(di, 0.1729371839114567725, 1e-12, "eraAtoi13", "R/di", status); + viv(j, 0, "eraAtoi13", "R/J", status); + + ob1 = -0.09247619879782006106; + ob2 = 0.1717653435758265198; + j = eraAtoi13 ( "H", ob1, ob2, utc1, utc2, dut1, + elong, phi, hm, xp, yp, phpa, tc, rh, wl, + &ri, &di); + vvd(ri, 2.710121574449135955, 1e-12, "eraAtoi13", "H/ri", status); + vvd(di, 0.1729371839114567725, 1e-12, "eraAtoi13", "H/di", status); + viv(j, 0, "eraAtoi13", "H/J", status); + + ob1 = 0.09233952224794989993; + ob2 = 1.407758704513722461; + j = eraAtoi13 ( "A", ob1, ob2, utc1, utc2, dut1, + elong, phi, hm, xp, yp, phpa, tc, rh, wl, + &ri, &di); + vvd(ri, 2.710121574449135955, 1e-12, "eraAtoi13", "A/ri", status); + vvd(di, 0.1729371839114567728, 1e-12, "eraAtoi13", "A/di", status); + viv(j, 0, "eraAtoi13", "A/J", status); + +} + +static void t_atoiq(int *status) +/* +** - - - - - - - - +** t _ a t o i q +** - - - - - - - - +* +** Test eraAtoiq function. +* +** Returned: +** status int FALSE = success, TRUE = fail +* +** Called: eraApio13, eraAtoiq, vvd +* +** This revision: 2013 October 4 +*/ +{ + double utc1, utc2, dut1, elong, phi, hm, xp, yp, phpa, tc, rh, wl, + ob1, ob2, ri, di; + eraASTROM astrom; + + + utc1 = 2456384.5; + utc2 = 0.969254051; + dut1 = 0.1550675; + elong = -0.527800806; + phi = -1.2345856; + hm = 2738.0; + xp = 2.47230737e-7; + yp = 1.82640464e-6; + phpa = 731.0; + tc = 12.8; + rh = 0.59; + wl = 0.55; + (void) eraApio13(utc1, utc2, dut1, elong, phi, hm, xp, yp, + phpa, tc, rh, wl, &astrom); + + ob1 = 2.710085107986886201; + ob2 = 0.1717653435758265198; + eraAtoiq("R", ob1, ob2, &astrom, &ri, &di); + vvd(ri, 2.710121574449135955, 1e-12, + "eraAtoiq", "R/ri", status); + vvd(di, 0.1729371839114567725, 1e-12, + "eraAtoiq", "R/di", status); + + ob1 = -0.09247619879782006106; + ob2 = 0.1717653435758265198; + eraAtoiq("H", ob1, ob2, &astrom, &ri, &di); + vvd(ri, 2.710121574449135955, 1e-12, + "eraAtoiq", "H/ri", status); + vvd(di, 0.1729371839114567725, 1e-12, + "eraAtoiq", "H/di", status); + + ob1 = 0.09233952224794989993; + ob2 = 1.407758704513722461; + eraAtoiq("A", ob1, ob2, &astrom, &ri, &di); + vvd(ri, 2.710121574449135955, 1e-12, + "eraAtoiq", "A/ri", status); + vvd(di, 0.1729371839114567728, 1e-12, + "eraAtoiq", "A/di", status); + +} + +static void t_bi00(int *status) +/* +** - - - - - - - +** t _ b i 0 0 +** - - - - - - - +** +** Test eraBi00 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraBi00, vvd +** +** This revision: 2013 August 7 +*/ +{ + double dpsibi, depsbi, dra; + + eraBi00(&dpsibi, &depsbi, &dra); + + vvd(dpsibi, -0.2025309152835086613e-6, 1e-12, + "eraBi00", "dpsibi", status); + vvd(depsbi, -0.3306041454222147847e-7, 1e-12, + "eraBi00", "depsbi", status); + vvd(dra, -0.7078279744199225506e-7, 1e-12, + "eraBi00", "dra", status); +} + +static void t_bp00(int *status) +/* +** - - - - - - - +** t _ b p 0 0 +** - - - - - - - +** +** Test eraBp00 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraBp00, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rb[3][3], rp[3][3], rbp[3][3]; + + + eraBp00(2400000.5, 50123.9999, rb, rp, rbp); + + vvd(rb[0][0], 0.9999999999999942498, 1e-12, + "eraBp00", "rb11", status); + vvd(rb[0][1], -0.7078279744199196626e-7, 1e-16, + "eraBp00", "rb12", status); + vvd(rb[0][2], 0.8056217146976134152e-7, 1e-16, + "eraBp00", "rb13", status); + vvd(rb[1][0], 0.7078279477857337206e-7, 1e-16, + "eraBp00", "rb21", status); + vvd(rb[1][1], 0.9999999999999969484, 1e-12, + "eraBp00", "rb22", status); + vvd(rb[1][2], 0.3306041454222136517e-7, 1e-16, + "eraBp00", "rb23", status); + vvd(rb[2][0], -0.8056217380986972157e-7, 1e-16, + "eraBp00", "rb31", status); + vvd(rb[2][1], -0.3306040883980552500e-7, 1e-16, + "eraBp00", "rb32", status); + vvd(rb[2][2], 0.9999999999999962084, 1e-12, + "eraBp00", "rb33", status); + + vvd(rp[0][0], 0.9999995504864048241, 1e-12, + "eraBp00", "rp11", status); + vvd(rp[0][1], 0.8696113836207084411e-3, 1e-14, + "eraBp00", "rp12", status); + vvd(rp[0][2], 0.3778928813389333402e-3, 1e-14, + "eraBp00", "rp13", status); + vvd(rp[1][0], -0.8696113818227265968e-3, 1e-14, + "eraBp00", "rp21", status); + vvd(rp[1][1], 0.9999996218879365258, 1e-12, + "eraBp00", "rp22", status); + vvd(rp[1][2], -0.1690679263009242066e-6, 1e-14, + "eraBp00", "rp23", status); + vvd(rp[2][0], -0.3778928854764695214e-3, 1e-14, + "eraBp00", "rp31", status); + vvd(rp[2][1], -0.1595521004195286491e-6, 1e-14, + "eraBp00", "rp32", status); + vvd(rp[2][2], 0.9999999285984682756, 1e-12, + "eraBp00", "rp33", status); + + vvd(rbp[0][0], 0.9999995505175087260, 1e-12, + "eraBp00", "rbp11", status); + vvd(rbp[0][1], 0.8695405883617884705e-3, 1e-14, + "eraBp00", "rbp12", status); + vvd(rbp[0][2], 0.3779734722239007105e-3, 1e-14, + "eraBp00", "rbp13", status); + vvd(rbp[1][0], -0.8695405990410863719e-3, 1e-14, + "eraBp00", "rbp21", status); + vvd(rbp[1][1], 0.9999996219494925900, 1e-12, + "eraBp00", "rbp22", status); + vvd(rbp[1][2], -0.1360775820404982209e-6, 1e-14, + "eraBp00", "rbp23", status); + vvd(rbp[2][0], -0.3779734476558184991e-3, 1e-14, + "eraBp00", "rbp31", status); + vvd(rbp[2][1], -0.1925857585832024058e-6, 1e-14, + "eraBp00", "rbp32", status); + vvd(rbp[2][2], 0.9999999285680153377, 1e-12, + "eraBp00", "rbp33", status); +} + +static void t_bp06(int *status) +/* +** - - - - - - - +** t _ b p 0 6 +** - - - - - - - +** +** Test eraBp06 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraBp06, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rb[3][3], rp[3][3], rbp[3][3]; + + + eraBp06(2400000.5, 50123.9999, rb, rp, rbp); + + vvd(rb[0][0], 0.9999999999999942497, 1e-12, + "eraBp06", "rb11", status); + vvd(rb[0][1], -0.7078368960971557145e-7, 1e-14, + "eraBp06", "rb12", status); + vvd(rb[0][2], 0.8056213977613185606e-7, 1e-14, + "eraBp06", "rb13", status); + vvd(rb[1][0], 0.7078368694637674333e-7, 1e-14, + "eraBp06", "rb21", status); + vvd(rb[1][1], 0.9999999999999969484, 1e-12, + "eraBp06", "rb22", status); + vvd(rb[1][2], 0.3305943742989134124e-7, 1e-14, + "eraBp06", "rb23", status); + vvd(rb[2][0], -0.8056214211620056792e-7, 1e-14, + "eraBp06", "rb31", status); + vvd(rb[2][1], -0.3305943172740586950e-7, 1e-14, + "eraBp06", "rb32", status); + vvd(rb[2][2], 0.9999999999999962084, 1e-12, + "eraBp06", "rb33", status); + + vvd(rp[0][0], 0.9999995504864960278, 1e-12, + "eraBp06", "rp11", status); + vvd(rp[0][1], 0.8696112578855404832e-3, 1e-14, + "eraBp06", "rp12", status); + vvd(rp[0][2], 0.3778929293341390127e-3, 1e-14, + "eraBp06", "rp13", status); + vvd(rp[1][0], -0.8696112560510186244e-3, 1e-14, + "eraBp06", "rp21", status); + vvd(rp[1][1], 0.9999996218880458820, 1e-12, + "eraBp06", "rp22", status); + vvd(rp[1][2], -0.1691646168941896285e-6, 1e-14, + "eraBp06", "rp23", status); + vvd(rp[2][0], -0.3778929335557603418e-3, 1e-14, + "eraBp06", "rp31", status); + vvd(rp[2][1], -0.1594554040786495076e-6, 1e-14, + "eraBp06", "rp32", status); + vvd(rp[2][2], 0.9999999285984501222, 1e-12, + "eraBp06", "rp33", status); + + vvd(rbp[0][0], 0.9999995505176007047, 1e-12, + "eraBp06", "rbp11", status); + vvd(rbp[0][1], 0.8695404617348208406e-3, 1e-14, + "eraBp06", "rbp12", status); + vvd(rbp[0][2], 0.3779735201865589104e-3, 1e-14, + "eraBp06", "rbp13", status); + vvd(rbp[1][0], -0.8695404723772031414e-3, 1e-14, + "eraBp06", "rbp21", status); + vvd(rbp[1][1], 0.9999996219496027161, 1e-12, + "eraBp06", "rbp22", status); + vvd(rbp[1][2], -0.1361752497080270143e-6, 1e-14, + "eraBp06", "rbp23", status); + vvd(rbp[2][0], -0.3779734957034089490e-3, 1e-14, + "eraBp06", "rbp31", status); + vvd(rbp[2][1], -0.1924880847894457113e-6, 1e-14, + "eraBp06", "rbp32", status); + vvd(rbp[2][2], 0.9999999285679971958, 1e-12, + "eraBp06", "rbp33", status); +} + +static void t_bpn2xy(int *status) +/* +** - - - - - - - - - +** t _ b p n 2 x y +** - - - - - - - - - +** +** Test eraBpn2xy function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraBpn2xy, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rbpn[3][3], x, y; + + + rbpn[0][0] = 9.999962358680738e-1; + rbpn[0][1] = -2.516417057665452e-3; + rbpn[0][2] = -1.093569785342370e-3; + + rbpn[1][0] = 2.516462370370876e-3; + rbpn[1][1] = 9.999968329010883e-1; + rbpn[1][2] = 4.006159587358310e-5; + + rbpn[2][0] = 1.093465510215479e-3; + rbpn[2][1] = -4.281337229063151e-5; + rbpn[2][2] = 9.999994012499173e-1; + + eraBpn2xy(rbpn, &x, &y); + + vvd(x, 1.093465510215479e-3, 1e-12, "eraBpn2xy", "x", status); + vvd(y, -4.281337229063151e-5, 1e-12, "eraBpn2xy", "y", status); + +} + +static void t_c2i00a(int *status) +/* +** - - - - - - - - - +** t _ c 2 i 0 0 a +** - - - - - - - - - +** +** Test eraC2i00a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2i00a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rc2i[3][3]; + + + eraC2i00a(2400000.5, 53736.0, rc2i); + + vvd(rc2i[0][0], 0.9999998323037165557, 1e-12, + "eraC2i00a", "11", status); + vvd(rc2i[0][1], 0.5581526348992140183e-9, 1e-12, + "eraC2i00a", "12", status); + vvd(rc2i[0][2], -0.5791308477073443415e-3, 1e-12, + "eraC2i00a", "13", status); + + vvd(rc2i[1][0], -0.2384266227870752452e-7, 1e-12, + "eraC2i00a", "21", status); + vvd(rc2i[1][1], 0.9999999991917405258, 1e-12, + "eraC2i00a", "22", status); + vvd(rc2i[1][2], -0.4020594955028209745e-4, 1e-12, + "eraC2i00a", "23", status); + + vvd(rc2i[2][0], 0.5791308472168152904e-3, 1e-12, + "eraC2i00a", "31", status); + vvd(rc2i[2][1], 0.4020595661591500259e-4, 1e-12, + "eraC2i00a", "32", status); + vvd(rc2i[2][2], 0.9999998314954572304, 1e-12, + "eraC2i00a", "33", status); + +} + +static void t_c2i00b(int *status) +/* +** - - - - - - - - - +** t _ c 2 i 0 0 b +** - - - - - - - - - +** +** Test eraC2i00b function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2i00b, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rc2i[3][3]; + + + eraC2i00b(2400000.5, 53736.0, rc2i); + + vvd(rc2i[0][0], 0.9999998323040954356, 1e-12, + "eraC2i00b", "11", status); + vvd(rc2i[0][1], 0.5581526349131823372e-9, 1e-12, + "eraC2i00b", "12", status); + vvd(rc2i[0][2], -0.5791301934855394005e-3, 1e-12, + "eraC2i00b", "13", status); + + vvd(rc2i[1][0], -0.2384239285499175543e-7, 1e-12, + "eraC2i00b", "21", status); + vvd(rc2i[1][1], 0.9999999991917574043, 1e-12, + "eraC2i00b", "22", status); + vvd(rc2i[1][2], -0.4020552974819030066e-4, 1e-12, + "eraC2i00b", "23", status); + + vvd(rc2i[2][0], 0.5791301929950208873e-3, 1e-12, + "eraC2i00b", "31", status); + vvd(rc2i[2][1], 0.4020553681373720832e-4, 1e-12, + "eraC2i00b", "32", status); + vvd(rc2i[2][2], 0.9999998314958529887, 1e-12, + "eraC2i00b", "33", status); + +} + +static void t_c2i06a(int *status) +/* +** - - - - - - - - - +** t _ c 2 i 0 6 a +** - - - - - - - - - +** +** Test eraC2i06a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2i06a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rc2i[3][3]; + + + eraC2i06a(2400000.5, 53736.0, rc2i); + + vvd(rc2i[0][0], 0.9999998323037159379, 1e-12, + "eraC2i06a", "11", status); + vvd(rc2i[0][1], 0.5581121329587613787e-9, 1e-12, + "eraC2i06a", "12", status); + vvd(rc2i[0][2], -0.5791308487740529749e-3, 1e-12, + "eraC2i06a", "13", status); + + vvd(rc2i[1][0], -0.2384253169452306581e-7, 1e-12, + "eraC2i06a", "21", status); + vvd(rc2i[1][1], 0.9999999991917467827, 1e-12, + "eraC2i06a", "22", status); + vvd(rc2i[1][2], -0.4020579392895682558e-4, 1e-12, + "eraC2i06a", "23", status); + + vvd(rc2i[2][0], 0.5791308482835292617e-3, 1e-12, + "eraC2i06a", "31", status); + vvd(rc2i[2][1], 0.4020580099454020310e-4, 1e-12, + "eraC2i06a", "32", status); + vvd(rc2i[2][2], 0.9999998314954628695, 1e-12, + "eraC2i06a", "33", status); + +} + +static void t_c2ibpn(int *status) +/* +** - - - - - - - - - +** t _ c 2 i b p n +** - - - - - - - - - +** +** Test eraC2ibpn function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2ibpn, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rbpn[3][3], rc2i[3][3]; + + + rbpn[0][0] = 9.999962358680738e-1; + rbpn[0][1] = -2.516417057665452e-3; + rbpn[0][2] = -1.093569785342370e-3; + + rbpn[1][0] = 2.516462370370876e-3; + rbpn[1][1] = 9.999968329010883e-1; + rbpn[1][2] = 4.006159587358310e-5; + + rbpn[2][0] = 1.093465510215479e-3; + rbpn[2][1] = -4.281337229063151e-5; + rbpn[2][2] = 9.999994012499173e-1; + + eraC2ibpn(2400000.5, 50123.9999, rbpn, rc2i); + + vvd(rc2i[0][0], 0.9999994021664089977, 1e-12, + "eraC2ibpn", "11", status); + vvd(rc2i[0][1], -0.3869195948017503664e-8, 1e-12, + "eraC2ibpn", "12", status); + vvd(rc2i[0][2], -0.1093465511383285076e-2, 1e-12, + "eraC2ibpn", "13", status); + + vvd(rc2i[1][0], 0.5068413965715446111e-7, 1e-12, + "eraC2ibpn", "21", status); + vvd(rc2i[1][1], 0.9999999990835075686, 1e-12, + "eraC2ibpn", "22", status); + vvd(rc2i[1][2], 0.4281334246452708915e-4, 1e-12, + "eraC2ibpn", "23", status); + + vvd(rc2i[2][0], 0.1093465510215479000e-2, 1e-12, + "eraC2ibpn", "31", status); + vvd(rc2i[2][1], -0.4281337229063151000e-4, 1e-12, + "eraC2ibpn", "32", status); + vvd(rc2i[2][2], 0.9999994012499173103, 1e-12, + "eraC2ibpn", "33", status); + +} + +static void t_c2ixy(int *status) +/* +** - - - - - - - - +** t _ c 2 i x y +** - - - - - - - - +** +** Test eraC2ixy function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2ixy, vvd +** +** This revision: 2013 August 7 +*/ +{ + double x, y, rc2i[3][3]; + + + x = 0.5791308486706011000e-3; + y = 0.4020579816732961219e-4; + + eraC2ixy(2400000.5, 53736, x, y, rc2i); + + vvd(rc2i[0][0], 0.9999998323037157138, 1e-12, + "eraC2ixy", "11", status); + vvd(rc2i[0][1], 0.5581526349032241205e-9, 1e-12, + "eraC2ixy", "12", status); + vvd(rc2i[0][2], -0.5791308491611263745e-3, 1e-12, + "eraC2ixy", "13", status); + + vvd(rc2i[1][0], -0.2384257057469842953e-7, 1e-12, + "eraC2ixy", "21", status); + vvd(rc2i[1][1], 0.9999999991917468964, 1e-12, + "eraC2ixy", "22", status); + vvd(rc2i[1][2], -0.4020579110172324363e-4, 1e-12, + "eraC2ixy", "23", status); + + vvd(rc2i[2][0], 0.5791308486706011000e-3, 1e-12, + "eraC2ixy", "31", status); + vvd(rc2i[2][1], 0.4020579816732961219e-4, 1e-12, + "eraC2ixy", "32", status); + vvd(rc2i[2][2], 0.9999998314954627590, 1e-12, + "eraC2ixy", "33", status); + +} + +static void t_c2ixys(int *status) +/* +** - - - - - - - - - +** t _ c 2 i x y s +** - - - - - - - - - +** +** Test eraC2ixys function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2ixys, vvd +** +** This revision: 2013 August 7 +*/ +{ + double x, y, s, rc2i[3][3]; + + + x = 0.5791308486706011000e-3; + y = 0.4020579816732961219e-4; + s = -0.1220040848472271978e-7; + + eraC2ixys(x, y, s, rc2i); + + vvd(rc2i[0][0], 0.9999998323037157138, 1e-12, + "eraC2ixys", "11", status); + vvd(rc2i[0][1], 0.5581984869168499149e-9, 1e-12, + "eraC2ixys", "12", status); + vvd(rc2i[0][2], -0.5791308491611282180e-3, 1e-12, + "eraC2ixys", "13", status); + + vvd(rc2i[1][0], -0.2384261642670440317e-7, 1e-12, + "eraC2ixys", "21", status); + vvd(rc2i[1][1], 0.9999999991917468964, 1e-12, + "eraC2ixys", "22", status); + vvd(rc2i[1][2], -0.4020579110169668931e-4, 1e-12, + "eraC2ixys", "23", status); + + vvd(rc2i[2][0], 0.5791308486706011000e-3, 1e-12, + "eraC2ixys", "31", status); + vvd(rc2i[2][1], 0.4020579816732961219e-4, 1e-12, + "eraC2ixys", "32", status); + vvd(rc2i[2][2], 0.9999998314954627590, 1e-12, + "eraC2ixys", "33", status); + +} + +static void t_c2s(int *status) +/* +** - - - - - - +** t _ c 2 s +** - - - - - - +** +** Test eraC2s function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2s, vvd +** +** This revision: 2013 August 7 +*/ +{ + double p[3], theta, phi; + + + p[0] = 100.0; + p[1] = -50.0; + p[2] = 25.0; + + eraC2s(p, &theta, &phi); + + vvd(theta, -0.4636476090008061162, 1e-14, "eraC2s", "theta", status); + vvd(phi, 0.2199879773954594463, 1e-14, "eraC2s", "phi", status); + +} + +static void t_c2t00a(int *status) +/* +** - - - - - - - - - +** t _ c 2 t 0 0 a +** - - - - - - - - - +** +** Test eraC2t00a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2t00a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double tta, ttb, uta, utb, xp, yp, rc2t[3][3]; + + + tta = 2400000.5; + uta = 2400000.5; + ttb = 53736.0; + utb = 53736.0; + xp = 2.55060238e-7; + yp = 1.860359247e-6; + + eraC2t00a(tta, ttb, uta, utb, xp, yp, rc2t); + + vvd(rc2t[0][0], -0.1810332128307182668, 1e-12, + "eraC2t00a", "11", status); + vvd(rc2t[0][1], 0.9834769806938457836, 1e-12, + "eraC2t00a", "12", status); + vvd(rc2t[0][2], 0.6555535638688341725e-4, 1e-12, + "eraC2t00a", "13", status); + + vvd(rc2t[1][0], -0.9834768134135984552, 1e-12, + "eraC2t00a", "21", status); + vvd(rc2t[1][1], -0.1810332203649520727, 1e-12, + "eraC2t00a", "22", status); + vvd(rc2t[1][2], 0.5749801116141056317e-3, 1e-12, + "eraC2t00a", "23", status); + + vvd(rc2t[2][0], 0.5773474014081406921e-3, 1e-12, + "eraC2t00a", "31", status); + vvd(rc2t[2][1], 0.3961832391770163647e-4, 1e-12, + "eraC2t00a", "32", status); + vvd(rc2t[2][2], 0.9999998325501692289, 1e-12, + "eraC2t00a", "33", status); + +} + +static void t_c2t00b(int *status) +/* +** - - - - - - - - - +** t _ c 2 t 0 0 b +** - - - - - - - - - +** +** Test eraC2t00b function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2t00b, vvd +** +** This revision: 2013 August 7 +*/ +{ + double tta, ttb, uta, utb, xp, yp, rc2t[3][3]; + + + tta = 2400000.5; + uta = 2400000.5; + ttb = 53736.0; + utb = 53736.0; + xp = 2.55060238e-7; + yp = 1.860359247e-6; + + eraC2t00b(tta, ttb, uta, utb, xp, yp, rc2t); + + vvd(rc2t[0][0], -0.1810332128439678965, 1e-12, + "eraC2t00b", "11", status); + vvd(rc2t[0][1], 0.9834769806913872359, 1e-12, + "eraC2t00b", "12", status); + vvd(rc2t[0][2], 0.6555565082458415611e-4, 1e-12, + "eraC2t00b", "13", status); + + vvd(rc2t[1][0], -0.9834768134115435923, 1e-12, + "eraC2t00b", "21", status); + vvd(rc2t[1][1], -0.1810332203784001946, 1e-12, + "eraC2t00b", "22", status); + vvd(rc2t[1][2], 0.5749793922030017230e-3, 1e-12, + "eraC2t00b", "23", status); + + vvd(rc2t[2][0], 0.5773467471863534901e-3, 1e-12, + "eraC2t00b", "31", status); + vvd(rc2t[2][1], 0.3961790411549945020e-4, 1e-12, + "eraC2t00b", "32", status); + vvd(rc2t[2][2], 0.9999998325505635738, 1e-12, + "eraC2t00b", "33", status); + +} + +static void t_c2t06a(int *status) +/* +** - - - - - - - - - +** t _ c 2 t 0 6 a +** - - - - - - - - - +** +** Test eraC2t06a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2t06a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double tta, ttb, uta, utb, xp, yp, rc2t[3][3]; + + + tta = 2400000.5; + uta = 2400000.5; + ttb = 53736.0; + utb = 53736.0; + xp = 2.55060238e-7; + yp = 1.860359247e-6; + + eraC2t06a(tta, ttb, uta, utb, xp, yp, rc2t); + + vvd(rc2t[0][0], -0.1810332128305897282, 1e-12, + "eraC2t06a", "11", status); + vvd(rc2t[0][1], 0.9834769806938592296, 1e-12, + "eraC2t06a", "12", status); + vvd(rc2t[0][2], 0.6555550962998436505e-4, 1e-12, + "eraC2t06a", "13", status); + + vvd(rc2t[1][0], -0.9834768134136214897, 1e-12, + "eraC2t06a", "21", status); + vvd(rc2t[1][1], -0.1810332203649130832, 1e-12, + "eraC2t06a", "22", status); + vvd(rc2t[1][2], 0.5749800844905594110e-3, 1e-12, + "eraC2t06a", "23", status); + + vvd(rc2t[2][0], 0.5773474024748545878e-3, 1e-12, + "eraC2t06a", "31", status); + vvd(rc2t[2][1], 0.3961816829632690581e-4, 1e-12, + "eraC2t06a", "32", status); + vvd(rc2t[2][2], 0.9999998325501747785, 1e-12, + "eraC2t06a", "33", status); + +} + +static void t_c2tcio(int *status) +/* +** - - - - - - - - - +** t _ c 2 t c i o +** - - - - - - - - - +** +** Test eraC2tcio function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2tcio, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rc2i[3][3], era, rpom[3][3], rc2t[3][3]; + + + rc2i[0][0] = 0.9999998323037164738; + rc2i[0][1] = 0.5581526271714303683e-9; + rc2i[0][2] = -0.5791308477073443903e-3; + + rc2i[1][0] = -0.2384266227524722273e-7; + rc2i[1][1] = 0.9999999991917404296; + rc2i[1][2] = -0.4020594955030704125e-4; + + rc2i[2][0] = 0.5791308472168153320e-3; + rc2i[2][1] = 0.4020595661593994396e-4; + rc2i[2][2] = 0.9999998314954572365; + + era = 1.75283325530307; + + rpom[0][0] = 0.9999999999999674705; + rpom[0][1] = -0.1367174580728847031e-10; + rpom[0][2] = 0.2550602379999972723e-6; + + rpom[1][0] = 0.1414624947957029721e-10; + rpom[1][1] = 0.9999999999982694954; + rpom[1][2] = -0.1860359246998866338e-5; + + rpom[2][0] = -0.2550602379741215275e-6; + rpom[2][1] = 0.1860359247002413923e-5; + rpom[2][2] = 0.9999999999982369658; + + + eraC2tcio(rc2i, era, rpom, rc2t); + + vvd(rc2t[0][0], -0.1810332128307110439, 1e-12, + "eraC2tcio", "11", status); + vvd(rc2t[0][1], 0.9834769806938470149, 1e-12, + "eraC2tcio", "12", status); + vvd(rc2t[0][2], 0.6555535638685466874e-4, 1e-12, + "eraC2tcio", "13", status); + + vvd(rc2t[1][0], -0.9834768134135996657, 1e-12, + "eraC2tcio", "21", status); + vvd(rc2t[1][1], -0.1810332203649448367, 1e-12, + "eraC2tcio", "22", status); + vvd(rc2t[1][2], 0.5749801116141106528e-3, 1e-12, + "eraC2tcio", "23", status); + + vvd(rc2t[2][0], 0.5773474014081407076e-3, 1e-12, + "eraC2tcio", "31", status); + vvd(rc2t[2][1], 0.3961832391772658944e-4, 1e-12, + "eraC2tcio", "32", status); + vvd(rc2t[2][2], 0.9999998325501691969, 1e-12, + "eraC2tcio", "33", status); + +} + +static void t_c2teqx(int *status) +/* +** - - - - - - - - - +** t _ c 2 t e q x +** - - - - - - - - - +** +** Test eraC2teqx function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2teqx, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rbpn[3][3], gst, rpom[3][3], rc2t[3][3]; + + + rbpn[0][0] = 0.9999989440476103608; + rbpn[0][1] = -0.1332881761240011518e-2; + rbpn[0][2] = -0.5790767434730085097e-3; + + rbpn[1][0] = 0.1332858254308954453e-2; + rbpn[1][1] = 0.9999991109044505944; + rbpn[1][2] = -0.4097782710401555759e-4; + + rbpn[2][0] = 0.5791308472168153320e-3; + rbpn[2][1] = 0.4020595661593994396e-4; + rbpn[2][2] = 0.9999998314954572365; + + gst = 1.754166138040730516; + + rpom[0][0] = 0.9999999999999674705; + rpom[0][1] = -0.1367174580728847031e-10; + rpom[0][2] = 0.2550602379999972723e-6; + + rpom[1][0] = 0.1414624947957029721e-10; + rpom[1][1] = 0.9999999999982694954; + rpom[1][2] = -0.1860359246998866338e-5; + + rpom[2][0] = -0.2550602379741215275e-6; + rpom[2][1] = 0.1860359247002413923e-5; + rpom[2][2] = 0.9999999999982369658; + + eraC2teqx(rbpn, gst, rpom, rc2t); + + vvd(rc2t[0][0], -0.1810332128528685730, 1e-12, + "eraC2teqx", "11", status); + vvd(rc2t[0][1], 0.9834769806897685071, 1e-12, + "eraC2teqx", "12", status); + vvd(rc2t[0][2], 0.6555535639982634449e-4, 1e-12, + "eraC2teqx", "13", status); + + vvd(rc2t[1][0], -0.9834768134095211257, 1e-12, + "eraC2teqx", "21", status); + vvd(rc2t[1][1], -0.1810332203871023800, 1e-12, + "eraC2teqx", "22", status); + vvd(rc2t[1][2], 0.5749801116126438962e-3, 1e-12, + "eraC2teqx", "23", status); + + vvd(rc2t[2][0], 0.5773474014081539467e-3, 1e-12, + "eraC2teqx", "31", status); + vvd(rc2t[2][1], 0.3961832391768640871e-4, 1e-12, + "eraC2teqx", "32", status); + vvd(rc2t[2][2], 0.9999998325501691969, 1e-12, + "eraC2teqx", "33", status); + +} + +static void t_c2tpe(int *status) +/* +** - - - - - - - - +** t _ c 2 t p e +** - - - - - - - - +** +** Test eraC2tpe function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2tpe, vvd +** +** This revision: 2013 August 7 +*/ +{ + double tta, ttb, uta, utb, dpsi, deps, xp, yp, rc2t[3][3]; + + + tta = 2400000.5; + uta = 2400000.5; + ttb = 53736.0; + utb = 53736.0; + deps = 0.4090789763356509900; + dpsi = -0.9630909107115582393e-5; + xp = 2.55060238e-7; + yp = 1.860359247e-6; + + eraC2tpe(tta, ttb, uta, utb, dpsi, deps, xp, yp, rc2t); + + vvd(rc2t[0][0], -0.1813677995763029394, 1e-12, + "eraC2tpe", "11", status); + vvd(rc2t[0][1], 0.9023482206891683275, 1e-12, + "eraC2tpe", "12", status); + vvd(rc2t[0][2], -0.3909902938641085751, 1e-12, + "eraC2tpe", "13", status); + + vvd(rc2t[1][0], -0.9834147641476804807, 1e-12, + "eraC2tpe", "21", status); + vvd(rc2t[1][1], -0.1659883635434995121, 1e-12, + "eraC2tpe", "22", status); + vvd(rc2t[1][2], 0.7309763898042819705e-1, 1e-12, + "eraC2tpe", "23", status); + + vvd(rc2t[2][0], 0.1059685430673215247e-2, 1e-12, + "eraC2tpe", "31", status); + vvd(rc2t[2][1], 0.3977631855605078674, 1e-12, + "eraC2tpe", "32", status); + vvd(rc2t[2][2], 0.9174875068792735362, 1e-12, + "eraC2tpe", "33", status); + +} + +static void t_c2txy(int *status) +/* +** - - - - - - - - +** t _ c 2 t x y +** - - - - - - - - +** +** Test eraC2txy function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraC2txy, vvd +** +** This revision: 2013 August 7 +*/ +{ + double tta, ttb, uta, utb, x, y, xp, yp, rc2t[3][3]; + + + tta = 2400000.5; + uta = 2400000.5; + ttb = 53736.0; + utb = 53736.0; + x = 0.5791308486706011000e-3; + y = 0.4020579816732961219e-4; + xp = 2.55060238e-7; + yp = 1.860359247e-6; + + eraC2txy(tta, ttb, uta, utb, x, y, xp, yp, rc2t); + + vvd(rc2t[0][0], -0.1810332128306279253, 1e-12, + "eraC2txy", "11", status); + vvd(rc2t[0][1], 0.9834769806938520084, 1e-12, + "eraC2txy", "12", status); + vvd(rc2t[0][2], 0.6555551248057665829e-4, 1e-12, + "eraC2txy", "13", status); + + vvd(rc2t[1][0], -0.9834768134136142314, 1e-12, + "eraC2txy", "21", status); + vvd(rc2t[1][1], -0.1810332203649529312, 1e-12, + "eraC2txy", "22", status); + vvd(rc2t[1][2], 0.5749800843594139912e-3, 1e-12, + "eraC2txy", "23", status); + + vvd(rc2t[2][0], 0.5773474028619264494e-3, 1e-12, + "eraC2txy", "31", status); + vvd(rc2t[2][1], 0.3961816546911624260e-4, 1e-12, + "eraC2txy", "32", status); + vvd(rc2t[2][2], 0.9999998325501746670, 1e-12, + "eraC2txy", "33", status); + +} + +static void t_cal2jd(int *status) +/* +** - - - - - - - - - +** t _ c a l 2 j d +** - - - - - - - - - +** +** Test eraCal2jd function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraCal2jd, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + int j; + double djm0, djm; + + + j = eraCal2jd(2003, 06, 01, &djm0, &djm); + + vvd(djm0, 2400000.5, 0.0, "eraCal2jd", "djm0", status); + vvd(djm, 52791.0, 0.0, "eraCal2jd", "djm", status); + + viv(j, 0, "eraCal2jd", "j", status); + +} + +static void t_cp(int *status) +/* +** - - - - - +** t _ c p +** - - - - - +** +** Test eraCp function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraCp, vvd +** +** This revision: 2013 August 7 +*/ +{ + double p[3], c[3]; + + + p[0] = 0.3; + p[1] = 1.2; + p[2] = -2.5; + + eraCp(p, c); + + vvd(c[0], 0.3, 0.0, "eraCp", "1", status); + vvd(c[1], 1.2, 0.0, "eraCp", "2", status); + vvd(c[2], -2.5, 0.0, "eraCp", "3", status); +} + +static void t_cpv(int *status) +/* +** - - - - - - +** t _ c p v +** - - - - - - +** +** Test eraCpv function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraCpv, vvd +** +** This revision: 2013 August 7 +*/ +{ + double pv[2][3], c[2][3]; + + + pv[0][0] = 0.3; + pv[0][1] = 1.2; + pv[0][2] = -2.5; + + pv[1][0] = -0.5; + pv[1][1] = 3.1; + pv[1][2] = 0.9; + + eraCpv(pv, c); + + vvd(c[0][0], 0.3, 0.0, "eraCpv", "p1", status); + vvd(c[0][1], 1.2, 0.0, "eraCpv", "p2", status); + vvd(c[0][2], -2.5, 0.0, "eraCpv", "p3", status); + + vvd(c[1][0], -0.5, 0.0, "eraCpv", "v1", status); + vvd(c[1][1], 3.1, 0.0, "eraCpv", "v2", status); + vvd(c[1][2], 0.9, 0.0, "eraCpv", "v3", status); + +} + +static void t_cr(int *status) +/* +** - - - - - +** t _ c r +** - - - - - +** +** Test eraCr function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraCr, vvd +** +** This revision: 2013 August 7 +*/ +{ + double r[3][3], c[3][3]; + + + r[0][0] = 2.0; + r[0][1] = 3.0; + r[0][2] = 2.0; + + r[1][0] = 3.0; + r[1][1] = 2.0; + r[1][2] = 3.0; + + r[2][0] = 3.0; + r[2][1] = 4.0; + r[2][2] = 5.0; + + eraCr(r, c); + + vvd(c[0][0], 2.0, 0.0, "eraCr", "11", status); + vvd(c[0][1], 3.0, 0.0, "eraCr", "12", status); + vvd(c[0][2], 2.0, 0.0, "eraCr", "13", status); + + vvd(c[1][0], 3.0, 0.0, "eraCr", "21", status); + vvd(c[1][1], 2.0, 0.0, "eraCr", "22", status); + vvd(c[1][2], 3.0, 0.0, "eraCr", "23", status); + + vvd(c[2][0], 3.0, 0.0, "eraCr", "31", status); + vvd(c[2][1], 4.0, 0.0, "eraCr", "32", status); + vvd(c[2][2], 5.0, 0.0, "eraCr", "33", status); +} + +static void t_d2dtf(int *status ) +/* +** - - - - - - - - +** t _ d 2 d t f +** - - - - - - - - +** +** Test eraD2dtf function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraD2dtf, viv +** +** This revision: 2013 August 7 +*/ +{ + int j, iy, im, id, ihmsf[4]; + + + j = eraD2dtf("UTC", 5, 2400000.5, 49533.99999, &iy, &im, &id, ihmsf); + + viv(iy, 1994, "eraD2dtf", "y", status); + viv(im, 6, "eraD2dtf", "mo", status); + viv(id, 30, "eraD2dtf", "d", status); + viv(ihmsf[0], 23, "eraD2dtf", "h", status); + viv(ihmsf[1], 59, "eraD2dtf", "m", status); + viv(ihmsf[2], 60, "eraD2dtf", "s", status); + viv(ihmsf[3], 13599, "eraD2dtf", "f", status); + viv(j, 0, "eraD2dtf", "j", status); + +} + +static void t_d2tf(int *status) +/* +** - - - - - - - +** t _ d 2 t f +** - - - - - - - +** +** Test eraD2tf function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraD2tf, viv, vvd +** +** This revision: 2013 August 7 +*/ +{ + int ihmsf[4]; + char s; + + + eraD2tf(4, -0.987654321, &s, ihmsf); + + viv((int)s, '-', "eraD2tf", "s", status); + + viv(ihmsf[0], 23, "eraD2tf", "0", status); + viv(ihmsf[1], 42, "eraD2tf", "1", status); + viv(ihmsf[2], 13, "eraD2tf", "2", status); + viv(ihmsf[3], 3333, "eraD2tf", "3", status); + +} + +static void t_dat(int *status) +/* +** - - - - - - +** t _ d a t +** - - - - - - +** +** Test eraDat function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraDat, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + int j; + double deltat; + + + j = eraDat(2003, 6, 1, 0.0, &deltat); + + vvd(deltat, 32.0, 0.0, "eraDat", "d1", status); + viv(j, 0, "eraDat", "j1", status); + + j = eraDat(2008, 1, 17, 0.0, &deltat); + + vvd(deltat, 33.0, 0.0, "eraDat", "d2", status); + viv(j, 0, "eraDat", "j2", status); + +} + +static void t_dtdb(int *status) +/* +** - - - - - - - +** t _ d t d b +** - - - - - - - +** +** Test eraDtdb function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraDtdb, vvd +** +** This revision: 2013 August 7 +*/ +{ + double dtdb; + + + dtdb = eraDtdb(2448939.5, 0.123, 0.76543, 5.0123, 5525.242, 3190.0); + + vvd(dtdb, -0.1280368005936998991e-2, 1e-15, "eraDtdb", "", status); + +} + +static void t_dtf2d(int *status) +/* +** - - - - - - - - +** t _ d t f 2 d +** - - - - - - - - +** +** Test eraDtf2d function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraDtf2d, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double u1, u2; + int j; + + + j = eraDtf2d("UTC", 1994, 6, 30, 23, 59, 60.13599, &u1, &u2); + + vvd(u1+u2, 2449534.49999, 1e-6, "eraDtf2d", "u", status); + viv(j, 0, "eraDtf2d", "j", status); + +} + +static void t_ee00(int *status) +/* +** - - - - - - - +** t _ e e 0 0 +** - - - - - - - +** +** Test eraEe00 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEe00, vvd +** +** This revision: 2013 August 7 +*/ +{ + double epsa, dpsi, ee; + + + epsa = 0.4090789763356509900; + dpsi = -0.9630909107115582393e-5; + + ee = eraEe00(2400000.5, 53736.0, epsa, dpsi); + + vvd(ee, -0.8834193235367965479e-5, 1e-18, "eraEe00", "", status); + +} + +static void t_ee00a(int *status) +/* +** - - - - - - - - +** t _ e e 0 0 a +** - - - - - - - - +** +** Test eraEe00a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEe00a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double ee; + + + ee = eraEe00a(2400000.5, 53736.0); + + vvd(ee, -0.8834192459222588227e-5, 1e-18, "eraEe00a", "", status); + +} + +static void t_ee00b(int *status) +/* +** - - - - - - - - +** t _ e e 0 0 b +** - - - - - - - - +** +** Test eraEe00b function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEe00b, vvd +** +** This revision: 2013 August 7 +*/ +{ + double ee; + + + ee = eraEe00b(2400000.5, 53736.0); + + vvd(ee, -0.8835700060003032831e-5, 1e-18, "eraEe00b", "", status); + +} + +static void t_ee06a(int *status) +/* +** - - - - - - - - +** t _ e e 0 6 a +** - - - - - - - - +** +** Test eraEe06a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEe06a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double ee; + + + ee = eraEe06a(2400000.5, 53736.0); + + vvd(ee, -0.8834195072043790156e-5, 1e-15, "eraEe06a", "", status); +} + +static void t_eect00(int *status) +/* +** - - - - - - - - - +** t _ e e c t 0 0 +** - - - - - - - - - +** +** Test eraEect00 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEect00, vvd +** +** This revision: 2013 August 7 +*/ +{ + double eect; + + + eect = eraEect00(2400000.5, 53736.0); + + vvd(eect, 0.2046085004885125264e-8, 1e-20, "eraEect00", "", status); + +} + +static void t_eform(int *status) +/* +** - - - - - - - - +** t _ e f o r m +** - - - - - - - - +** +** Test eraEform function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEform, viv, vvd +** +** This revision: 2013 August 7 +*/ +{ + int j; + double a, f; + + j = eraEform(0, &a, &f); + + viv(j, -1, "eraEform", "j0", status); + + j = eraEform(ERFA_WGS84, &a, &f); + + viv(j, 0, "eraEform", "j1", status); + vvd(a, 6378137.0, 1e-10, "eraEform", "a1", status); + vvd(f, 0.0033528106647474807, 1e-18, "eraEform", "f1", status); + + j = eraEform(ERFA_GRS80, &a, &f); + + viv(j, 0, "eraEform", "j2", status); + vvd(a, 6378137.0, 1e-10, "eraEform", "a2", status); + vvd(f, 0.0033528106811823189, 1e-18, "eraEform", "f2", status); + + j = eraEform(ERFA_WGS72, &a, &f); + + viv(j, 0, "eraEform", "j2", status); + vvd(a, 6378135.0, 1e-10, "eraEform", "a3", status); + vvd(f, 0.0033527794541675049, 1e-18, "eraEform", "f3", status); + + j = eraEform(4, &a, &f); + viv(j, -1, "eraEform", "j3", status); +} + +static void t_eo06a(int *status) +/* +** - - - - - - - - +** t _ e o 0 6 a +** - - - - - - - - +** +** Test eraEo06a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEo06a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double eo; + + + eo = eraEo06a(2400000.5, 53736.0); + + vvd(eo, -0.1332882371941833644e-2, 1e-15, "eraEo06a", "", status); + +} + +static void t_eors(int *status) +/* +** - - - - - - - +** t _ e o r s +** - - - - - - - +** +** Test eraEors function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEors, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rnpb[3][3], s, eo; + + + rnpb[0][0] = 0.9999989440476103608; + rnpb[0][1] = -0.1332881761240011518e-2; + rnpb[0][2] = -0.5790767434730085097e-3; + + rnpb[1][0] = 0.1332858254308954453e-2; + rnpb[1][1] = 0.9999991109044505944; + rnpb[1][2] = -0.4097782710401555759e-4; + + rnpb[2][0] = 0.5791308472168153320e-3; + rnpb[2][1] = 0.4020595661593994396e-4; + rnpb[2][2] = 0.9999998314954572365; + + s = -0.1220040848472271978e-7; + + eo = eraEors(rnpb, s); + + vvd(eo, -0.1332882715130744606e-2, 1e-14, "eraEors", "", status); + +} + +static void t_epb(int *status) +/* +** - - - - - - +** t _ e p b +** - - - - - - +** +** Test eraEpb function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEpb, vvd +** +** This revision: 2013 August 7 +*/ +{ + double epb; + + + epb = eraEpb(2415019.8135, 30103.18648); + + vvd(epb, 1982.418424159278580, 1e-12, "eraEpb", "", status); + +} + +static void t_epb2jd(int *status) +/* +** - - - - - - - - - +** t _ e p b 2 j d +** - - - - - - - - - +** +** Test eraEpb2jd function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEpb2jd, vvd +** +** This revision: 2013 August 7 +*/ +{ + double epb, djm0, djm; + + + epb = 1957.3; + + eraEpb2jd(epb, &djm0, &djm); + + vvd(djm0, 2400000.5, 1e-9, "eraEpb2jd", "djm0", status); + vvd(djm, 35948.1915101513, 1e-9, "eraEpb2jd", "mjd", status); + +} + +static void t_epj(int *status) +/* +** - - - - - - +** t _ e p j +** - - - - - - +** +** Test eraEpj function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEpj, vvd +** +** This revision: 2013 August 7 +*/ +{ + double epj; + + + epj = eraEpj(2451545, -7392.5); + + vvd(epj, 1979.760438056125941, 1e-12, "eraEpj", "", status); + +} + +static void t_epj2jd(int *status) +/* +** - - - - - - - - - +** t _ e p j 2 j d +** - - - - - - - - - +** +** Test eraEpj2jd function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEpj2jd, vvd +** +** This revision: 2013 August 7 +*/ +{ + double epj, djm0, djm; + + + epj = 1996.8; + + eraEpj2jd(epj, &djm0, &djm); + + vvd(djm0, 2400000.5, 1e-9, "eraEpj2jd", "djm0", status); + vvd(djm, 50375.7, 1e-9, "eraEpj2jd", "mjd", status); + +} + +static void t_epv00(int *status) +/* +** - - - - - - - - +** t _ e p v 0 0 +** - - - - - - - - +** +** Test eraEpv00 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEpv00, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double pvh[2][3], pvb[2][3]; + int j; + + + j = eraEpv00(2400000.5, 53411.52501161, pvh, pvb); + + vvd(pvh[0][0], -0.7757238809297706813, 1e-14, + "eraEpv00", "ph(x)", status); + vvd(pvh[0][1], 0.5598052241363340596, 1e-14, + "eraEpv00", "ph(y)", status); + vvd(pvh[0][2], 0.2426998466481686993, 1e-14, + "eraEpv00", "ph(z)", status); + + vvd(pvh[1][0], -0.1091891824147313846e-1, 1e-15, + "eraEpv00", "vh(x)", status); + vvd(pvh[1][1], -0.1247187268440845008e-1, 1e-15, + "eraEpv00", "vh(y)", status); + vvd(pvh[1][2], -0.5407569418065039061e-2, 1e-15, + "eraEpv00", "vh(z)", status); + + vvd(pvb[0][0], -0.7714104440491111971, 1e-14, + "eraEpv00", "pb(x)", status); + vvd(pvb[0][1], 0.5598412061824171323, 1e-14, + "eraEpv00", "pb(y)", status); + vvd(pvb[0][2], 0.2425996277722452400, 1e-14, + "eraEpv00", "pb(z)", status); + + vvd(pvb[1][0], -0.1091874268116823295e-1, 1e-15, + "eraEpv00", "vb(x)", status); + vvd(pvb[1][1], -0.1246525461732861538e-1, 1e-15, + "eraEpv00", "vb(y)", status); + vvd(pvb[1][2], -0.5404773180966231279e-2, 1e-15, + "eraEpv00", "vb(z)", status); + + viv(j, 0, "eraEpv00", "j", status); + +} + +static void t_eqeq94(int *status) +/* +** - - - - - - - - - +** t _ e q e q 9 4 +** - - - - - - - - - +** +** Test eraEqeq94 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEqeq94, vvd +** +** This revision: 2013 August 7 +*/ +{ + double eqeq; + + + eqeq = eraEqeq94(2400000.5, 41234.0); + + vvd(eqeq, 0.5357758254609256894e-4, 1e-17, "eraEqeq94", "", status); + +} + +static void t_era00(int *status) +/* +** - - - - - - - - +** t _ e r a 0 0 +** - - - - - - - - +** +** Test eraEra00 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraEra00, vvd +** +** This revision: 2013 August 7 +*/ +{ + double era00; + + + era00 = eraEra00(2400000.5, 54388.0); + + vvd(era00, 0.4022837240028158102, 1e-12, "eraEra00", "", status); + +} + +static void t_fad03(int *status) +/* +** - - - - - - - - +** t _ f a d 0 3 +** - - - - - - - - +** +** Test eraFad03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFad03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFad03(0.80), 1.946709205396925672, 1e-12, + "eraFad03", "", status); +} + +static void t_fae03(int *status) +/* +** - - - - - - - - +** t _ f a e 0 3 +** - - - - - - - - +** +** Test eraFae03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFae03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFae03(0.80), 1.744713738913081846, 1e-12, + "eraFae03", "", status); +} + +static void t_faf03(int *status) +/* +** - - - - - - - - +** t _ f a f 0 3 +** - - - - - - - - +** +** Test eraFaf03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFaf03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFaf03(0.80), 0.2597711366745499518, 1e-12, + "eraFaf03", "", status); +} + +static void t_faju03(int *status) +/* +** - - - - - - - - - +** t _ f a j u 0 3 +** - - - - - - - - - +** +** Test eraFaju03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFaju03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFaju03(0.80), 5.275711665202481138, 1e-12, + "eraFaju03", "", status); +} + +static void t_fal03(int *status) +/* +** - - - - - - - - +** t _ f a l 0 3 +** - - - - - - - - +** +** Test eraFal03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFal03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFal03(0.80), 5.132369751108684150, 1e-12, + "eraFal03", "", status); +} + +static void t_falp03(int *status) +/* +** - - - - - - - - - +** t _ f a l p 0 3 +** - - - - - - - - - +** +** Test eraFalp03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFalp03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFalp03(0.80), 6.226797973505507345, 1e-12, + "eraFalp03", "", status); +} + +static void t_fama03(int *status) +/* +** - - - - - - - - - +** t _ f a m a 0 3 +** - - - - - - - - - +** +** Test eraFama03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFama03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFama03(0.80), 3.275506840277781492, 1e-12, + "eraFama03", "", status); +} + +static void t_fame03(int *status) +/* +** - - - - - - - - - +** t _ f a m e 0 3 +** - - - - - - - - - +** +** Test eraFame03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFame03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFame03(0.80), 5.417338184297289661, 1e-12, + "eraFame03", "", status); +} + +static void t_fane03(int *status) +/* +** - - - - - - - - - +** t _ f a n e 0 3 +** - - - - - - - - - +** +** Test eraFane03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFane03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFane03(0.80), 2.079343830860413523, 1e-12, + "eraFane03", "", status); +} + +static void t_faom03(int *status) +/* +** - - - - - - - - - +** t _ f a o m 0 3 +** - - - - - - - - - +** +** Test eraFaom03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFaom03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFaom03(0.80), -5.973618440951302183, 1e-12, + "eraFaom03", "", status); +} + +static void t_fapa03(int *status) +/* +** - - - - - - - - - +** t _ f a p a 0 3 +** - - - - - - - - - +** +** Test eraFapa03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFapa03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFapa03(0.80), 0.1950884762240000000e-1, 1e-12, + "eraFapa03", "", status); +} + +static void t_fasa03(int *status) +/* +** - - - - - - - - - +** t _ f a s a 0 3 +** - - - - - - - - - +** +** Test eraFasa03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFasa03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFasa03(0.80), 5.371574539440827046, 1e-12, + "eraFasa03", "", status); +} + +static void t_faur03(int *status) +/* +** - - - - - - - - - +** t _ f a u r 0 3 +** - - - - - - - - - +** +** Test eraFaur03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFaur03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFaur03(0.80), 5.180636450180413523, 1e-12, + "eraFaur03", "", status); +} + +static void t_fave03(int *status) +/* +** - - - - - - - - - +** t _ f a v e 0 3 +** - - - - - - - - - +** +** Test eraFave03 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFave03, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraFave03(0.80), 3.424900460533758000, 1e-12, + "eraFave03", "", status); +} + +static void t_fk52h(int *status) +/* +** - - - - - - - - +** t _ f k 5 2 h +** - - - - - - - - +** +** Test eraFk52h function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFk52h, vvd +** +** This revision: 2013 August 7 +*/ +{ + double r5, d5, dr5, dd5, px5, rv5, rh, dh, drh, ddh, pxh, rvh; + + + r5 = 1.76779433; + d5 = -0.2917517103; + dr5 = -1.91851572e-7; + dd5 = -5.8468475e-6; + px5 = 0.379210; + rv5 = -7.6; + + eraFk52h(r5, d5, dr5, dd5, px5, rv5, + &rh, &dh, &drh, &ddh, &pxh, &rvh); + + vvd(rh, 1.767794226299947632, 1e-14, + "eraFk52h", "ra", status); + vvd(dh, -0.2917516070530391757, 1e-14, + "eraFk52h", "dec", status); + vvd(drh, -0.19618741256057224e-6,1e-19, + "eraFk52h", "dr5", status); + vvd(ddh, -0.58459905176693911e-5, 1e-19, + "eraFk52h", "dd5", status); + vvd(pxh, 0.37921, 1e-14, + "eraFk52h", "px", status); + vvd(rvh, -7.6000000940000254, 1e-11, + "eraFk52h", "rv", status); + +} + +static void t_fk5hip(int *status) +/* +** - - - - - - - - - +** t _ f k 5 h i p +** - - - - - - - - - +** +** Test eraFk5hip function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFk5hip, vvd +** +** This revision: 2013 August 7 +*/ +{ + double r5h[3][3], s5h[3]; + + + eraFk5hip(r5h, s5h); + + vvd(r5h[0][0], 0.9999999999999928638, 1e-14, + "eraFk5hip", "11", status); + vvd(r5h[0][1], 0.1110223351022919694e-6, 1e-17, + "eraFk5hip", "12", status); + vvd(r5h[0][2], 0.4411803962536558154e-7, 1e-17, + "eraFk5hip", "13", status); + vvd(r5h[1][0], -0.1110223308458746430e-6, 1e-17, + "eraFk5hip", "21", status); + vvd(r5h[1][1], 0.9999999999999891830, 1e-14, + "eraFk5hip", "22", status); + vvd(r5h[1][2], -0.9647792498984142358e-7, 1e-17, + "eraFk5hip", "23", status); + vvd(r5h[2][0], -0.4411805033656962252e-7, 1e-17, + "eraFk5hip", "31", status); + vvd(r5h[2][1], 0.9647792009175314354e-7, 1e-17, + "eraFk5hip", "32", status); + vvd(r5h[2][2], 0.9999999999999943728, 1e-14, + "eraFk5hip", "33", status); + vvd(s5h[0], -0.1454441043328607981e-8, 1e-17, + "eraFk5hip", "s1", status); + vvd(s5h[1], 0.2908882086657215962e-8, 1e-17, + "eraFk5hip", "s2", status); + vvd(s5h[2], 0.3393695767766751955e-8, 1e-17, + "eraFk5hip", "s3", status); + +} + +static void t_fk5hz(int *status) +/* +** - - - - - - - - +** t _ f k 5 h z +** - - - - - - - - +** +** Test eraFk5hz function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFk5hz, vvd +** +** This revision: 2013 August 7 +*/ +{ + double r5, d5, rh, dh; + + + r5 = 1.76779433; + d5 = -0.2917517103; + + eraFk5hz(r5, d5, 2400000.5, 54479.0, &rh, &dh); + + vvd(rh, 1.767794191464423978, 1e-12, "eraFk5hz", "ra", status); + vvd(dh, -0.2917516001679884419, 1e-12, "eraFk5hz", "dec", status); + +} + +static void t_fw2m(int *status) +/* +** - - - - - - - +** t _ f w 2 m +** - - - - - - - +** +** Test eraFw2m function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFw2m, vvd +** +** This revision: 2013 August 7 +*/ +{ + double gamb, phib, psi, eps, r[3][3]; + + + gamb = -0.2243387670997992368e-5; + phib = 0.4091014602391312982; + psi = -0.9501954178013015092e-3; + eps = 0.4091014316587367472; + + eraFw2m(gamb, phib, psi, eps, r); + + vvd(r[0][0], 0.9999995505176007047, 1e-12, + "eraFw2m", "11", status); + vvd(r[0][1], 0.8695404617348192957e-3, 1e-12, + "eraFw2m", "12", status); + vvd(r[0][2], 0.3779735201865582571e-3, 1e-12, + "eraFw2m", "13", status); + + vvd(r[1][0], -0.8695404723772016038e-3, 1e-12, + "eraFw2m", "21", status); + vvd(r[1][1], 0.9999996219496027161, 1e-12, + "eraFw2m", "22", status); + vvd(r[1][2], -0.1361752496887100026e-6, 1e-12, + "eraFw2m", "23", status); + + vvd(r[2][0], -0.3779734957034082790e-3, 1e-12, + "eraFw2m", "31", status); + vvd(r[2][1], -0.1924880848087615651e-6, 1e-12, + "eraFw2m", "32", status); + vvd(r[2][2], 0.9999999285679971958, 1e-12, + "eraFw2m", "33", status); + +} + +static void t_fw2xy(int *status) +/* +** - - - - - - - - +** t _ f w 2 x y +** - - - - - - - - +** +** Test eraFw2xy function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraFw2xy, vvd +** +** This revision: 2013 August 7 +*/ +{ + double gamb, phib, psi, eps, x, y; + + + gamb = -0.2243387670997992368e-5; + phib = 0.4091014602391312982; + psi = -0.9501954178013015092e-3; + eps = 0.4091014316587367472; + + eraFw2xy(gamb, phib, psi, eps, &x, &y); + + vvd(x, -0.3779734957034082790e-3, 1e-14, "eraFw2xy", "x", status); + vvd(y, -0.1924880848087615651e-6, 1e-14, "eraFw2xy", "y", status); + +} + +static void t_gc2gd(int *status) +/* +** - - - - - - - - +** t _ g c 2 g d +** - - - - - - - - +** +** Test eraGc2gd function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraGc2gd, viv, vvd +** +** This revision: 2013 August 7 +*/ +{ + int j; + double xyz[] = {2e6, 3e6, 5.244e6}; + double e, p, h; + + j = eraGc2gd(0, xyz, &e, &p, &h); + + viv(j, -1, "eraGc2gd", "j0", status); + + j = eraGc2gd(ERFA_WGS84, xyz, &e, &p, &h); + + viv(j, 0, "eraGc2gd", "j1", status); + vvd(e, 0.98279372324732907, 1e-14, "eraGc2gd", "e1", status); + vvd(p, 0.97160184819075459, 1e-14, "eraGc2gd", "p1", status); + vvd(h, 331.41724614260599, 1e-8, "eraGc2gd", "h1", status); + + j = eraGc2gd(ERFA_GRS80, xyz, &e, &p, &h); + + viv(j, 0, "eraGc2gd", "j2", status); + vvd(e, 0.98279372324732907, 1e-14, "eraGc2gd", "e2", status); + vvd(p, 0.97160184820607853, 1e-14, "eraGc2gd", "p2", status); + vvd(h, 331.41731754844348, 1e-8, "eraGc2gd", "h2", status); + + j = eraGc2gd(ERFA_WGS72, xyz, &e, &p, &h); + + viv(j, 0, "eraGc2gd", "j3", status); + vvd(e, 0.98279372324732907, 1e-14, "eraGc2gd", "e3", status); + vvd(p, 0.97160181811015119, 1e-14, "eraGc2gd", "p3", status); + vvd(h, 333.27707261303181, 1e-8, "eraGc2gd", "h3", status); + + j = eraGc2gd(4, xyz, &e, &p, &h); + + viv(j, -1, "eraGc2gd", "j4", status); +} + +static void t_gc2gde(int *status) +/* +** - - - - - - - - - +** t _ g c 2 g d e +** - - - - - - - - - +** +** Test eraGc2gde function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraGc2gde, viv, vvd +** +** This revision: 2013 August 7 +*/ +{ + int j; + double a = 6378136.0, f = 0.0033528; + double xyz[] = {2e6, 3e6, 5.244e6}; + double e, p, h; + + j = eraGc2gde(a, f, xyz, &e, &p, &h); + + viv(j, 0, "eraGc2gde", "j", status); + vvd(e, 0.98279372324732907, 1e-14, "eraGc2gde", "e", status); + vvd(p, 0.97160183775704115, 1e-14, "eraGc2gde", "p", status); + vvd(h, 332.36862495764397, 1e-8, "eraGc2gde", "h", status); +} + +static void t_gd2gc(int *status) +/* +** - - - - - - - - +** t _ g d 2 g c +** - - - - - - - - +** +** Test eraGd2gc function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraGd2gc, viv, vvd +** +** This revision: 2013 August 7 +*/ +{ + int j; + double e = 3.1, p = -0.5, h = 2500.0; + double xyz[3]; + + j = eraGd2gc(0, e, p, h, xyz); + + viv(j, -1, "eraGd2gc", "j0", status); + + j = eraGd2gc(ERFA_WGS84, e, p, h, xyz); + + viv(j, 0, "eraGd2gc", "j1", status); + vvd(xyz[0], -5599000.5577049947, 1e-7, "eraGd2gc", "0/1", status); + vvd(xyz[1], 233011.67223479203, 1e-7, "eraGd2gc", "1/1", status); + vvd(xyz[2], -3040909.4706983363, 1e-7, "eraGd2gc", "2/1", status); + + j = eraGd2gc(ERFA_GRS80, e, p, h, xyz); + + viv(j, 0, "eraGd2gc", "j2", status); + vvd(xyz[0], -5599000.5577260984, 1e-7, "eraGd2gc", "0/2", status); + vvd(xyz[1], 233011.6722356703, 1e-7, "eraGd2gc", "1/2", status); + vvd(xyz[2], -3040909.4706095476, 1e-7, "eraGd2gc", "2/2", status); + + j = eraGd2gc(ERFA_WGS72, e, p, h, xyz); + + viv(j, 0, "eraGd2gc", "j3", status); + vvd(xyz[0], -5598998.7626301490, 1e-7, "eraGd2gc", "0/3", status); + vvd(xyz[1], 233011.5975297822, 1e-7, "eraGd2gc", "1/3", status); + vvd(xyz[2], -3040908.6861467111, 1e-7, "eraGd2gc", "2/3", status); + + j = eraGd2gc(4, e, p, h, xyz); + + viv(j, -1, "eraGd2gc", "j4", status); +} + +static void t_gd2gce(int *status) +/* +** - - - - - - - - - +** t _ g d 2 g c e +** - - - - - - - - - +** +** Test eraGd2gce function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraGd2gce, viv, vvd +** +** This revision: 2013 August 7 +*/ +{ + int j; + double a = 6378136.0, f = 0.0033528; + double e = 3.1, p = -0.5, h = 2500.0; + double xyz[3]; + + j = eraGd2gce(a, f, e, p, h, xyz); + + viv(j, 0, "eraGd2gce", "j", status); + vvd(xyz[0], -5598999.6665116328, 1e-7, "eraGd2gce", "0", status); + vvd(xyz[1], 233011.63514630572, 1e-7, "eraGd2gce", "1", status); + vvd(xyz[2], -3040909.0517314132, 1e-7, "eraGd2gce", "2", status); +} + +static void t_gmst00(int *status) +/* +** - - - - - - - - - +** t _ g m s t 0 0 +** - - - - - - - - - +** +** Test eraGmst00 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraGmst00, vvd +** +** This revision: 2013 August 7 +*/ +{ + double theta; + + + theta = eraGmst00(2400000.5, 53736.0, 2400000.5, 53736.0); + + vvd(theta, 1.754174972210740592, 1e-12, "eraGmst00", "", status); + +} + +static void t_gmst06(int *status) +/* +** - - - - - - - - - +** t _ g m s t 0 6 +** - - - - - - - - - +** +** Test eraGmst06 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraGmst06, vvd +** +** This revision: 2013 August 7 +*/ +{ + double theta; + + + theta = eraGmst06(2400000.5, 53736.0, 2400000.5, 53736.0); + + vvd(theta, 1.754174971870091203, 1e-12, "eraGmst06", "", status); + +} + +static void t_gmst82(int *status) +/* +** - - - - - - - - - +** t _ g m s t 8 2 +** - - - - - - - - - +** +** Test eraGmst82 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraGmst82, vvd +** +** This revision: 2013 August 7 +*/ +{ + double theta; + + + theta = eraGmst82(2400000.5, 53736.0); + + vvd(theta, 1.754174981860675096, 1e-12, "eraGmst82", "", status); + +} + +static void t_gst00a(int *status) +/* +** - - - - - - - - - +** t _ g s t 0 0 a +** - - - - - - - - - +** +** Test eraGst00a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraGst00a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double theta; + + + theta = eraGst00a(2400000.5, 53736.0, 2400000.5, 53736.0); + + vvd(theta, 1.754166138018281369, 1e-12, "eraGst00a", "", status); + +} + +static void t_gst00b(int *status) +/* +** - - - - - - - - - +** t _ g s t 0 0 b +** - - - - - - - - - +** +** Test eraGst00b function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraGst00b, vvd +** +** This revision: 2013 August 7 +*/ +{ + double theta; + + + theta = eraGst00b(2400000.5, 53736.0); + + vvd(theta, 1.754166136510680589, 1e-12, "eraGst00b", "", status); + +} + +static void t_gst06(int *status) +/* +** - - - - - - - - +** t _ g s t 0 6 +** - - - - - - - - +** +** Test eraGst06 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraGst06, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rnpb[3][3], theta; + + + rnpb[0][0] = 0.9999989440476103608; + rnpb[0][1] = -0.1332881761240011518e-2; + rnpb[0][2] = -0.5790767434730085097e-3; + + rnpb[1][0] = 0.1332858254308954453e-2; + rnpb[1][1] = 0.9999991109044505944; + rnpb[1][2] = -0.4097782710401555759e-4; + + rnpb[2][0] = 0.5791308472168153320e-3; + rnpb[2][1] = 0.4020595661593994396e-4; + rnpb[2][2] = 0.9999998314954572365; + + theta = eraGst06(2400000.5, 53736.0, 2400000.5, 53736.0, rnpb); + + vvd(theta, 1.754166138018167568, 1e-12, "eraGst06", "", status); + +} + +static void t_gst06a(int *status) +/* +** - - - - - - - - - +** t _ g s t 0 6 a +** - - - - - - - - - +** +** Test eraGst06a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraGst06a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double theta; + + + theta = eraGst06a(2400000.5, 53736.0, 2400000.5, 53736.0); + + vvd(theta, 1.754166137675019159, 1e-12, "eraGst06a", "", status); + +} + +static void t_gst94(int *status) +/* +** - - - - - - - - +** t _ g s t 9 4 +** - - - - - - - - +** +** Test eraGst94 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraGst94, vvd +** +** This revision: 2013 August 7 +*/ +{ + double theta; + + + theta = eraGst94(2400000.5, 53736.0); + + vvd(theta, 1.754166136020645203, 1e-12, "eraGst94", "", status); + +} + +static void t_h2fk5(int *status) +/* +** - - - - - - - - +** t _ h 2 f k 5 +** - - - - - - - - +** +** Test eraH2fk5 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraH2fk5, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rh, dh, drh, ddh, pxh, rvh, r5, d5, dr5, dd5, px5, rv5; + + + rh = 1.767794352; + dh = -0.2917512594; + drh = -2.76413026e-6; + ddh = -5.92994449e-6; + pxh = 0.379210; + rvh = -7.6; + + eraH2fk5(rh, dh, drh, ddh, pxh, rvh, + &r5, &d5, &dr5, &dd5, &px5, &rv5); + + vvd(r5, 1.767794455700065506, 1e-13, + "eraH2fk5", "ra", status); + vvd(d5, -0.2917513626469638890, 1e-13, + "eraH2fk5", "dec", status); + vvd(dr5, -0.27597945024511204e-5, 1e-18, + "eraH2fk5", "dr5", status); + vvd(dd5, -0.59308014093262838e-5, 1e-18, + "eraH2fk5", "dd5", status); + vvd(px5, 0.37921, 1e-13, + "eraH2fk5", "px", status); + vvd(rv5, -7.6000001309071126, 1e-10, + "eraH2fk5", "rv", status); + +} + +static void t_hfk5z(int *status) +/* +** - - - - - - - - +** t _ h f k 5 z +** - - - - - - - - +** +** Test eraHfk5z function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraHfk5z, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rh, dh, r5, d5, dr5, dd5; + + + + rh = 1.767794352; + dh = -0.2917512594; + + eraHfk5z(rh, dh, 2400000.5, 54479.0, &r5, &d5, &dr5, &dd5); + + vvd(r5, 1.767794490535581026, 1e-13, + "eraHfk5z", "ra", status); + vvd(d5, -0.2917513695320114258, 1e-14, + "eraHfk5z", "dec", status); + vvd(dr5, 0.4335890983539243029e-8, 1e-22, + "eraHfk5z", "dr5", status); + vvd(dd5, -0.8569648841237745902e-9, 1e-23, + "eraHfk5z", "dd5", status); + +} + +static void t_ir(int *status) +/* +** - - - - - +** t _ i r +** - - - - - +** +** Test eraIr function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraIr, vvd +** +** This revision: 2013 August 7 +*/ +{ + double r[3][3]; + + + r[0][0] = 2.0; + r[0][1] = 3.0; + r[0][2] = 2.0; + + r[1][0] = 3.0; + r[1][1] = 2.0; + r[1][2] = 3.0; + + r[2][0] = 3.0; + r[2][1] = 4.0; + r[2][2] = 5.0; + + eraIr(r); + + vvd(r[0][0], 1.0, 0.0, "eraIr", "11", status); + vvd(r[0][1], 0.0, 0.0, "eraIr", "12", status); + vvd(r[0][2], 0.0, 0.0, "eraIr", "13", status); + + vvd(r[1][0], 0.0, 0.0, "eraIr", "21", status); + vvd(r[1][1], 1.0, 0.0, "eraIr", "22", status); + vvd(r[1][2], 0.0, 0.0, "eraIr", "23", status); + + vvd(r[2][0], 0.0, 0.0, "eraIr", "31", status); + vvd(r[2][1], 0.0, 0.0, "eraIr", "32", status); + vvd(r[2][2], 1.0, 0.0, "eraIr", "33", status); + +} + +static void t_jd2cal(int *status) +/* +** - - - - - - - - - +** t _ j d 2 c a l +** - - - - - - - - - +** +** Test eraJd2cal function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraJd2cal, viv, vvd +** +** This revision: 2013 August 7 +*/ +{ + double dj1, dj2, fd; + int iy, im, id, j; + + + dj1 = 2400000.5; + dj2 = 50123.9999; + + j = eraJd2cal(dj1, dj2, &iy, &im, &id, &fd); + + viv(iy, 1996, "eraJd2cal", "y", status); + viv(im, 2, "eraJd2cal", "m", status); + viv(id, 10, "eraJd2cal", "d", status); + vvd(fd, 0.9999, 1e-7, "eraJd2cal", "fd", status); + viv(j, 0, "eraJd2cal", "j", status); + +} + +static void t_jdcalf(int *status) +/* +** - - - - - - - - - +** t _ j d c a l f +** - - - - - - - - - +** +** Test eraJdcalf function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraJdcalf, viv +** +** This revision: 2013 August 7 +*/ +{ + double dj1, dj2; + int iydmf[4], j; + + + dj1 = 2400000.5; + dj2 = 50123.9999; + + j = eraJdcalf(4, dj1, dj2, iydmf); + + viv(iydmf[0], 1996, "eraJdcalf", "y", status); + viv(iydmf[1], 2, "eraJdcalf", "m", status); + viv(iydmf[2], 10, "eraJdcalf", "d", status); + viv(iydmf[3], 9999, "eraJdcalf", "f", status); + + viv(j, 0, "eraJdcalf", "j", status); + +} + +static void t_ld(int *status) +/* +** - - - - - +** t _ l d +** - - - - - +** +** Test eraLd function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraLd, vvd +* +** This revision: 2013 October 2 +*/ +{ + double bm, p[3], q[3], e[3], em, dlim, p1[3]; + + + bm = 0.00028574; + p[0] = -0.763276255; + p[1] = -0.608633767; + p[2] = -0.216735543; + q[0] = -0.763276255; + q[1] = -0.608633767; + q[2] = -0.216735543; + e[0] = 0.76700421; + e[1] = 0.605629598; + e[2] = 0.211937094; + em = 8.91276983; + dlim = 3e-10; + + eraLd(bm, p, q, e, em, dlim, p1); + + vvd(p1[0], -0.7632762548968159627, 1e-12, + "eraLd", "1", status); + vvd(p1[1], -0.6086337670823762701, 1e-12, + "eraLd", "2", status); + vvd(p1[2], -0.2167355431320546947, 1e-12, + "eraLd", "3", status); + +} + +static void t_ldn(int *status) +/* +** - - - - - - +** t _ l d n +** - - - - - - +** +** Test eraLdn function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraLdn, vvd +** +** This revision: 2013 October 2 +*/ +{ + int n; + eraLDBODY b[3]; + double ob[3], sc[3], sn[3]; + + + n = 3; + b[0].bm = 0.00028574; + b[0].dl = 3e-10; + b[0].pv[0][0] = -7.81014427; + b[0].pv[0][1] = -5.60956681; + b[0].pv[0][2] = -1.98079819; + b[0].pv[1][0] = 0.0030723249; + b[0].pv[1][1] = -0.00406995477; + b[0].pv[1][2] = -0.00181335842; + b[1].bm = 0.00095435; + b[1].dl = 3e-9; + b[1].pv[0][0] = 0.738098796; + b[1].pv[0][1] = 4.63658692; + b[1].pv[0][2] = 1.9693136; + b[1].pv[1][0] = -0.00755816922; + b[1].pv[1][1] = 0.00126913722; + b[1].pv[1][2] = 0.000727999001; + b[2].bm = 1.0; + b[2].dl = 6e-6; + b[2].pv[0][0] = -0.000712174377; + b[2].pv[0][1] = -0.00230478303; + b[2].pv[0][2] = -0.00105865966; + b[2].pv[1][0] = 6.29235213e-6; + b[2].pv[1][1] = -3.30888387e-7; + b[2].pv[1][2] = -2.96486623e-7; + ob[0] = -0.974170437; + ob[1] = -0.2115201; + ob[2] = -0.0917583114; + sc[0] = -0.763276255; + sc[1] = -0.608633767; + sc[2] = -0.216735543; + + eraLdn(n, b, ob, sc, sn); + + vvd(sn[0], -0.7632762579693333866, 1e-12, + "eraLdn", "1", status); + vvd(sn[1], -0.6086337636093002660, 1e-12, + "eraLdn", "2", status); + vvd(sn[2], -0.2167355420646328159, 1e-12, + "eraLdn", "3", status); + +} + +static void t_ldsun(int *status) +/* +** - - - - - - - - +** t _ l d s u n +** - - - - - - - - +** +** Test eraLdsun function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraLdsun, vvd +** +** This revision: 2013 October 2 +*/ +{ + double p[3], e[3], em, p1[3]; + + + p[0] = -0.763276255; + p[1] = -0.608633767; + p[2] = -0.216735543; + e[0] = -0.973644023; + e[1] = -0.20925523; + e[2] = -0.0907169552; + em = 0.999809214; + + eraLdsun(p, e, em, p1); + + vvd(p1[0], -0.7632762580731413169, 1e-12, + "eraLdsun", "1", status); + vvd(p1[1], -0.6086337635262647900, 1e-12, + "eraLdsun", "2", status); + vvd(p1[2], -0.2167355419322321302, 1e-12, + "eraLdsun", "3", status); + +} + +static void t_num00a(int *status) +/* +** - - - - - - - - - +** t _ n u m 0 0 a +** - - - - - - - - - +** +** Test eraNum00a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraNum00a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rmatn[3][3]; + + + eraNum00a(2400000.5, 53736.0, rmatn); + + vvd(rmatn[0][0], 0.9999999999536227949, 1e-12, + "eraNum00a", "11", status); + vvd(rmatn[0][1], 0.8836238544090873336e-5, 1e-12, + "eraNum00a", "12", status); + vvd(rmatn[0][2], 0.3830835237722400669e-5, 1e-12, + "eraNum00a", "13", status); + + vvd(rmatn[1][0], -0.8836082880798569274e-5, 1e-12, + "eraNum00a", "21", status); + vvd(rmatn[1][1], 0.9999999991354655028, 1e-12, + "eraNum00a", "22", status); + vvd(rmatn[1][2], -0.4063240865362499850e-4, 1e-12, + "eraNum00a", "23", status); + + vvd(rmatn[2][0], -0.3831194272065995866e-5, 1e-12, + "eraNum00a", "31", status); + vvd(rmatn[2][1], 0.4063237480216291775e-4, 1e-12, + "eraNum00a", "32", status); + vvd(rmatn[2][2], 0.9999999991671660338, 1e-12, + "eraNum00a", "33", status); + +} + +static void t_num00b(int *status) +/* +** - - - - - - - - - +** t _ n u m 0 0 b +** - - - - - - - - - +** +** Test eraNum00b function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraNum00b, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rmatn[3][3]; + + eraNum00b(2400000.5, 53736, rmatn); + + vvd(rmatn[0][0], 0.9999999999536069682, 1e-12, + "eraNum00b", "11", status); + vvd(rmatn[0][1], 0.8837746144871248011e-5, 1e-12, + "eraNum00b", "12", status); + vvd(rmatn[0][2], 0.3831488838252202945e-5, 1e-12, + "eraNum00b", "13", status); + + vvd(rmatn[1][0], -0.8837590456632304720e-5, 1e-12, + "eraNum00b", "21", status); + vvd(rmatn[1][1], 0.9999999991354692733, 1e-12, + "eraNum00b", "22", status); + vvd(rmatn[1][2], -0.4063198798559591654e-4, 1e-12, + "eraNum00b", "23", status); + + vvd(rmatn[2][0], -0.3831847930134941271e-5, 1e-12, + "eraNum00b", "31", status); + vvd(rmatn[2][1], 0.4063195412258168380e-4, 1e-12, + "eraNum00b", "32", status); + vvd(rmatn[2][2], 0.9999999991671806225, 1e-12, + "eraNum00b", "33", status); + +} + +static void t_num06a(int *status) +/* +** - - - - - - - - - +** t _ n u m 0 6 a +** - - - - - - - - - +** +** Test eraNum06a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraNum06a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rmatn[3][3]; + + eraNum06a(2400000.5, 53736, rmatn); + + vvd(rmatn[0][0], 0.9999999999536227668, 1e-12, + "eraNum06a", "11", status); + vvd(rmatn[0][1], 0.8836241998111535233e-5, 1e-12, + "eraNum06a", "12", status); + vvd(rmatn[0][2], 0.3830834608415287707e-5, 1e-12, + "eraNum06a", "13", status); + + vvd(rmatn[1][0], -0.8836086334870740138e-5, 1e-12, + "eraNum06a", "21", status); + vvd(rmatn[1][1], 0.9999999991354657474, 1e-12, + "eraNum06a", "22", status); + vvd(rmatn[1][2], -0.4063240188248455065e-4, 1e-12, + "eraNum06a", "23", status); + + vvd(rmatn[2][0], -0.3831193642839398128e-5, 1e-12, + "eraNum06a", "31", status); + vvd(rmatn[2][1], 0.4063236803101479770e-4, 1e-12, + "eraNum06a", "32", status); + vvd(rmatn[2][2], 0.9999999991671663114, 1e-12, + "eraNum06a", "33", status); + +} + +static void t_numat(int *status) +/* +** - - - - - - - - +** t _ n u m a t +** - - - - - - - - +** +** Test eraNumat function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraNumat, vvd +** +** This revision: 2013 August 7 +*/ +{ + double epsa, dpsi, deps, rmatn[3][3]; + + + epsa = 0.4090789763356509900; + dpsi = -0.9630909107115582393e-5; + deps = 0.4063239174001678826e-4; + + eraNumat(epsa, dpsi, deps, rmatn); + + vvd(rmatn[0][0], 0.9999999999536227949, 1e-12, + "eraNumat", "11", status); + vvd(rmatn[0][1], 0.8836239320236250577e-5, 1e-12, + "eraNumat", "12", status); + vvd(rmatn[0][2], 0.3830833447458251908e-5, 1e-12, + "eraNumat", "13", status); + + vvd(rmatn[1][0], -0.8836083657016688588e-5, 1e-12, + "eraNumat", "21", status); + vvd(rmatn[1][1], 0.9999999991354654959, 1e-12, + "eraNumat", "22", status); + vvd(rmatn[1][2], -0.4063240865361857698e-4, 1e-12, + "eraNumat", "23", status); + + vvd(rmatn[2][0], -0.3831192481833385226e-5, 1e-12, + "eraNumat", "31", status); + vvd(rmatn[2][1], 0.4063237480216934159e-4, 1e-12, + "eraNumat", "32", status); + vvd(rmatn[2][2], 0.9999999991671660407, 1e-12, + "eraNumat", "33", status); + +} + +static void t_nut00a(int *status) +/* +** - - - - - - - - - +** t _ n u t 0 0 a +** - - - - - - - - - +** +** Test eraNut00a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraNut00a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double dpsi, deps; + + + eraNut00a(2400000.5, 53736.0, &dpsi, &deps); + + vvd(dpsi, -0.9630909107115518431e-5, 1e-13, + "eraNut00a", "dpsi", status); + vvd(deps, 0.4063239174001678710e-4, 1e-13, + "eraNut00a", "deps", status); + +} + +static void t_nut00b(int *status) +/* +** - - - - - - - - - +** t _ n u t 0 0 b +** - - - - - - - - - +** +** Test eraNut00b function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraNut00b, vvd +** +** This revision: 2013 August 7 +*/ +{ + double dpsi, deps; + + + eraNut00b(2400000.5, 53736.0, &dpsi, &deps); + + vvd(dpsi, -0.9632552291148362783e-5, 1e-13, + "eraNut00b", "dpsi", status); + vvd(deps, 0.4063197106621159367e-4, 1e-13, + "eraNut00b", "deps", status); + +} + +static void t_nut06a(int *status) +/* +** - - - - - - - - - +** t _ n u t 0 6 a +** - - - - - - - - - +** +** Test eraNut06a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraNut06a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double dpsi, deps; + + + eraNut06a(2400000.5, 53736.0, &dpsi, &deps); + + vvd(dpsi, -0.9630912025820308797e-5, 1e-13, + "eraNut06a", "dpsi", status); + vvd(deps, 0.4063238496887249798e-4, 1e-13, + "eraNut06a", "deps", status); + +} + +static void t_nut80(int *status) +/* +** - - - - - - - - +** t _ n u t 8 0 +** - - - - - - - - +** +** Test eraNut80 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraNut80, vvd +** +** This revision: 2013 August 7 +*/ +{ + double dpsi, deps; + + + eraNut80(2400000.5, 53736.0, &dpsi, &deps); + + vvd(dpsi, -0.9643658353226563966e-5, 1e-13, + "eraNut80", "dpsi", status); + vvd(deps, 0.4060051006879713322e-4, 1e-13, + "eraNut80", "deps", status); + +} + +static void t_nutm80(int *status) +/* +** - - - - - - - - - +** t _ n u t m 8 0 +** - - - - - - - - - +** +** Test eraNutm80 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraNutm80, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rmatn[3][3]; + + + eraNutm80(2400000.5, 53736.0, rmatn); + + vvd(rmatn[0][0], 0.9999999999534999268, 1e-12, + "eraNutm80", "11", status); + vvd(rmatn[0][1], 0.8847935789636432161e-5, 1e-12, + "eraNutm80", "12", status); + vvd(rmatn[0][2], 0.3835906502164019142e-5, 1e-12, + "eraNutm80", "13", status); + + vvd(rmatn[1][0], -0.8847780042583435924e-5, 1e-12, + "eraNutm80", "21", status); + vvd(rmatn[1][1], 0.9999999991366569963, 1e-12, + "eraNutm80", "22", status); + vvd(rmatn[1][2], -0.4060052702727130809e-4, 1e-12, + "eraNutm80", "23", status); + + vvd(rmatn[2][0], -0.3836265729708478796e-5, 1e-12, + "eraNutm80", "31", status); + vvd(rmatn[2][1], 0.4060049308612638555e-4, 1e-12, + "eraNutm80", "32", status); + vvd(rmatn[2][2], 0.9999999991684415129, 1e-12, + "eraNutm80", "33", status); + +} + +static void t_obl06(int *status) +/* +** - - - - - - - - +** t _ o b l 0 6 +** - - - - - - - - +** +** Test eraObl06 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraObl06, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraObl06(2400000.5, 54388.0), 0.4090749229387258204, 1e-14, + "eraObl06", "", status); +} + +static void t_obl80(int *status) +/* +** - - - - - - - - +** t _ o b l 8 0 +** - - - - - - - - +** +** Test eraObl80 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraObl80, vvd +** +** This revision: 2013 August 7 +*/ +{ + double eps0; + + + eps0 = eraObl80(2400000.5, 54388.0); + + vvd(eps0, 0.4090751347643816218, 1e-14, "eraObl80", "", status); + +} + +static void t_p06e(int *status) +/* +** - - - - - - - +** t _ p 0 6 e +** - - - - - - - +** +** Test eraP06e function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraP06e, vvd +** +** This revision: 2013 August 7 +*/ +{ + double eps0, psia, oma, bpa, bqa, pia, bpia, + epsa, chia, za, zetaa, thetaa, pa, gam, phi, psi; + + + eraP06e(2400000.5, 52541.0, &eps0, &psia, &oma, &bpa, + &bqa, &pia, &bpia, &epsa, &chia, &za, + &zetaa, &thetaa, &pa, &gam, &phi, &psi); + + vvd(eps0, 0.4090926006005828715, 1e-14, + "eraP06e", "eps0", status); + vvd(psia, 0.6664369630191613431e-3, 1e-14, + "eraP06e", "psia", status); + vvd(oma , 0.4090925973783255982, 1e-14, + "eraP06e", "oma", status); + vvd(bpa, 0.5561149371265209445e-6, 1e-14, + "eraP06e", "bpa", status); + vvd(bqa, -0.6191517193290621270e-5, 1e-14, + "eraP06e", "bqa", status); + vvd(pia, 0.6216441751884382923e-5, 1e-14, + "eraP06e", "pia", status); + vvd(bpia, 3.052014180023779882, 1e-14, + "eraP06e", "bpia", status); + vvd(epsa, 0.4090864054922431688, 1e-14, + "eraP06e", "epsa", status); + vvd(chia, 0.1387703379530915364e-5, 1e-14, + "eraP06e", "chia", status); + vvd(za, 0.2921789846651790546e-3, 1e-14, + "eraP06e", "za", status); + vvd(zetaa, 0.3178773290332009310e-3, 1e-14, + "eraP06e", "zetaa", status); + vvd(thetaa, 0.2650932701657497181e-3, 1e-14, + "eraP06e", "thetaa", status); + vvd(pa, 0.6651637681381016344e-3, 1e-14, + "eraP06e", "pa", status); + vvd(gam, 0.1398077115963754987e-5, 1e-14, + "eraP06e", "gam", status); + vvd(phi, 0.4090864090837462602, 1e-14, + "eraP06e", "phi", status); + vvd(psi, 0.6664464807480920325e-3, 1e-14, + "eraP06e", "psi", status); + +} + +static void t_p2pv(int *status) +/* +** - - - - - - - +** t _ p 2 p v +** - - - - - - - +** +** Test eraP2pv function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraP2pv, vvd +** +** This revision: 2013 August 7 +*/ +{ + double p[3], pv[2][3]; + + + p[0] = 0.25; + p[1] = 1.2; + p[2] = 3.0; + + pv[0][0] = 0.3; + pv[0][1] = 1.2; + pv[0][2] = -2.5; + + pv[1][0] = -0.5; + pv[1][1] = 3.1; + pv[1][2] = 0.9; + + eraP2pv(p, pv); + + vvd(pv[0][0], 0.25, 0.0, "eraP2pv", "p1", status); + vvd(pv[0][1], 1.2, 0.0, "eraP2pv", "p2", status); + vvd(pv[0][2], 3.0, 0.0, "eraP2pv", "p3", status); + + vvd(pv[1][0], 0.0, 0.0, "eraP2pv", "v1", status); + vvd(pv[1][1], 0.0, 0.0, "eraP2pv", "v2", status); + vvd(pv[1][2], 0.0, 0.0, "eraP2pv", "v3", status); + +} + +static void t_p2s(int *status) +/* +** - - - - - - +** t _ p 2 s +** - - - - - - +** +** Test eraP2s function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraP2s, vvd +** +** This revision: 2013 August 7 +*/ +{ + double p[3], theta, phi, r; + + + p[0] = 100.0; + p[1] = -50.0; + p[2] = 25.0; + + eraP2s(p, &theta, &phi, &r); + + vvd(theta, -0.4636476090008061162, 1e-12, "eraP2s", "theta", status); + vvd(phi, 0.2199879773954594463, 1e-12, "eraP2s", "phi", status); + vvd(r, 114.5643923738960002, 1e-9, "eraP2s", "r", status); + +} + +static void t_pap(int *status) +/* +** - - - - - - +** t _ p a p +** - - - - - - +** +** Test eraPap function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPap, vvd +** +** This revision: 2013 August 7 +*/ +{ + double a[3], b[3], theta; + + + a[0] = 1.0; + a[1] = 0.1; + a[2] = 0.2; + + b[0] = -3.0; + b[1] = 1e-3; + b[2] = 0.2; + + theta = eraPap(a, b); + + vvd(theta, 0.3671514267841113674, 1e-12, "eraPap", "", status); + +} + +static void t_pas(int *status) +/* +** - - - - - - +** t _ p a s +** - - - - - - +** +** Test eraPas function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPas, vvd +** +** This revision: 2013 August 7 +*/ +{ + double al, ap, bl, bp, theta; + + + al = 1.0; + ap = 0.1; + bl = 0.2; + bp = -1.0; + + theta = eraPas(al, ap, bl, bp); + + vvd(theta, -2.724544922932270424, 1e-12, "eraPas", "", status); + +} + +static void t_pb06(int *status) +/* +** - - - - - - - +** t _ p b 0 6 +** - - - - - - - +** +** Test eraPb06 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPb06, vvd +** +** This revision: 2013 August 7 +*/ +{ + double bzeta, bz, btheta; + + + eraPb06(2400000.5, 50123.9999, &bzeta, &bz, &btheta); + + vvd(bzeta, -0.5092634016326478238e-3, 1e-12, + "eraPb06", "bzeta", status); + vvd(bz, -0.3602772060566044413e-3, 1e-12, + "eraPb06", "bz", status); + vvd(btheta, -0.3779735537167811177e-3, 1e-12, + "eraPb06", "btheta", status); + +} + +static void t_pdp(int *status) +/* +** - - - - - - +** t _ p d p +** - - - - - - +** +** Test eraPdp function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPdp, vvd +** +** This revision: 2013 August 7 +*/ +{ + double a[3], b[3], adb; + + + a[0] = 2.0; + a[1] = 2.0; + a[2] = 3.0; + + b[0] = 1.0; + b[1] = 3.0; + b[2] = 4.0; + + adb = eraPdp(a, b); + + vvd(adb, 20, 1e-12, "eraPdp", "", status); + +} + +static void t_pfw06(int *status) +/* +** - - - - - - - - +** t _ p f w 0 6 +** - - - - - - - - +** +** Test eraPfw06 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPfw06, vvd +** +** This revision: 2013 August 7 +*/ +{ + double gamb, phib, psib, epsa; + + + eraPfw06(2400000.5, 50123.9999, &gamb, &phib, &psib, &epsa); + + vvd(gamb, -0.2243387670997995690e-5, 1e-16, + "eraPfw06", "gamb", status); + vvd(phib, 0.4091014602391312808, 1e-12, + "eraPfw06", "phib", status); + vvd(psib, -0.9501954178013031895e-3, 1e-14, + "eraPfw06", "psib", status); + vvd(epsa, 0.4091014316587367491, 1e-12, + "eraPfw06", "epsa", status); + +} + +static void t_plan94(int *status) +/* +** - - - - - - - - - +** t _ p l a n 9 4 +** - - - - - - - - - +** +** Test eraPlan94 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPlan94, vvd, viv +** +** This revision: 2013 October 2 +*/ +{ + double pv[2][3]; + int j; + + + j = eraPlan94(2400000.5, 1e6, 0, pv); + + vvd(pv[0][0], 0.0, 0.0, "eraPlan94", "x 1", status); + vvd(pv[0][1], 0.0, 0.0, "eraPlan94", "y 1", status); + vvd(pv[0][2], 0.0, 0.0, "eraPlan94", "z 1", status); + + vvd(pv[1][0], 0.0, 0.0, "eraPlan94", "xd 1", status); + vvd(pv[1][1], 0.0, 0.0, "eraPlan94", "yd 1", status); + vvd(pv[1][2], 0.0, 0.0, "eraPlan94", "zd 1", status); + + viv(j, -1, "eraPlan94", "j 1", status); + + j = eraPlan94(2400000.5, 1e6, 10, pv); + + viv(j, -1, "eraPlan94", "j 2", status); + + j = eraPlan94(2400000.5, -320000, 3, pv); + + vvd(pv[0][0], 0.9308038666832975759, 1e-11, + "eraPlan94", "x 3", status); + vvd(pv[0][1], 0.3258319040261346000, 1e-11, + "eraPlan94", "y 3", status); + vvd(pv[0][2], 0.1422794544481140560, 1e-11, + "eraPlan94", "z 3", status); + + vvd(pv[1][0], -0.6429458958255170006e-2, 1e-11, + "eraPlan94", "xd 3", status); + vvd(pv[1][1], 0.1468570657704237764e-1, 1e-11, + "eraPlan94", "yd 3", status); + vvd(pv[1][2], 0.6406996426270981189e-2, 1e-11, + "eraPlan94", "zd 3", status); + + viv(j, 1, "eraPlan94", "j 3", status); + + j = eraPlan94(2400000.5, 43999.9, 1, pv); + + vvd(pv[0][0], 0.2945293959257430832, 1e-11, + "eraPlan94", "x 4", status); + vvd(pv[0][1], -0.2452204176601049596, 1e-11, + "eraPlan94", "y 4", status); + vvd(pv[0][2], -0.1615427700571978153, 1e-11, + "eraPlan94", "z 4", status); + + vvd(pv[1][0], 0.1413867871404614441e-1, 1e-11, + "eraPlan94", "xd 4", status); + vvd(pv[1][1], 0.1946548301104706582e-1, 1e-11, + "eraPlan94", "yd 4", status); + vvd(pv[1][2], 0.8929809783898904786e-2, 1e-11, + "eraPlan94", "zd 4", status); + + viv(j, 0, "eraPlan94", "j 4", status); + +} + +static void t_pmat00(int *status) +/* +** - - - - - - - - - +** t _ p m a t 0 0 +** - - - - - - - - - +** +** Test eraPmat00 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPmat00, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rbp[3][3]; + + + eraPmat00(2400000.5, 50123.9999, rbp); + + vvd(rbp[0][0], 0.9999995505175087260, 1e-12, + "eraPmat00", "11", status); + vvd(rbp[0][1], 0.8695405883617884705e-3, 1e-14, + "eraPmat00", "12", status); + vvd(rbp[0][2], 0.3779734722239007105e-3, 1e-14, + "eraPmat00", "13", status); + + vvd(rbp[1][0], -0.8695405990410863719e-3, 1e-14, + "eraPmat00", "21", status); + vvd(rbp[1][1], 0.9999996219494925900, 1e-12, + "eraPmat00", "22", status); + vvd(rbp[1][2], -0.1360775820404982209e-6, 1e-14, + "eraPmat00", "23", status); + + vvd(rbp[2][0], -0.3779734476558184991e-3, 1e-14, + "eraPmat00", "31", status); + vvd(rbp[2][1], -0.1925857585832024058e-6, 1e-14, + "eraPmat00", "32", status); + vvd(rbp[2][2], 0.9999999285680153377, 1e-12, + "eraPmat00", "33", status); + +} + +static void t_pmat06(int *status) +/* +** - - - - - - - - - +** t _ p m a t 0 6 +** - - - - - - - - - +** +** Test eraPmat06 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPmat06, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rbp[3][3]; + + + eraPmat06(2400000.5, 50123.9999, rbp); + + vvd(rbp[0][0], 0.9999995505176007047, 1e-12, + "eraPmat06", "11", status); + vvd(rbp[0][1], 0.8695404617348208406e-3, 1e-14, + "eraPmat06", "12", status); + vvd(rbp[0][2], 0.3779735201865589104e-3, 1e-14, + "eraPmat06", "13", status); + + vvd(rbp[1][0], -0.8695404723772031414e-3, 1e-14, + "eraPmat06", "21", status); + vvd(rbp[1][1], 0.9999996219496027161, 1e-12, + "eraPmat06", "22", status); + vvd(rbp[1][2], -0.1361752497080270143e-6, 1e-14, + "eraPmat06", "23", status); + + vvd(rbp[2][0], -0.3779734957034089490e-3, 1e-14, + "eraPmat06", "31", status); + vvd(rbp[2][1], -0.1924880847894457113e-6, 1e-14, + "eraPmat06", "32", status); + vvd(rbp[2][2], 0.9999999285679971958, 1e-12, + "eraPmat06", "33", status); + +} + +static void t_pmat76(int *status) +/* +** - - - - - - - - - +** t _ p m a t 7 6 +** - - - - - - - - - +** +** Test eraPmat76 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPmat76, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rmatp[3][3]; + + + eraPmat76(2400000.5, 50123.9999, rmatp); + + vvd(rmatp[0][0], 0.9999995504328350733, 1e-12, + "eraPmat76", "11", status); + vvd(rmatp[0][1], 0.8696632209480960785e-3, 1e-14, + "eraPmat76", "12", status); + vvd(rmatp[0][2], 0.3779153474959888345e-3, 1e-14, + "eraPmat76", "13", status); + + vvd(rmatp[1][0], -0.8696632209485112192e-3, 1e-14, + "eraPmat76", "21", status); + vvd(rmatp[1][1], 0.9999996218428560614, 1e-12, + "eraPmat76", "22", status); + vvd(rmatp[1][2], -0.1643284776111886407e-6, 1e-14, + "eraPmat76", "23", status); + + vvd(rmatp[2][0], -0.3779153474950335077e-3, 1e-14, + "eraPmat76", "31", status); + vvd(rmatp[2][1], -0.1643306746147366896e-6, 1e-14, + "eraPmat76", "32", status); + vvd(rmatp[2][2], 0.9999999285899790119, 1e-12, + "eraPmat76", "33", status); + +} + +static void t_pm(int *status) +/* +** - - - - - +** t _ p m +** - - - - - +** +** Test eraPm function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPm, vvd +** +** This revision: 2013 August 7 +*/ +{ + double p[3], r; + + + p[0] = 0.3; + p[1] = 1.2; + p[2] = -2.5; + + r = eraPm(p); + + vvd(r, 2.789265136196270604, 1e-12, "eraPm", "", status); + +} + +static void t_pmp(int *status) +/* +** - - - - - - +** t _ p m p +** - - - - - - +** +** Test eraPmp function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPmp, vvd +** +** This revision: 2013 August 7 +*/ +{ + double a[3], b[3], amb[3]; + + + a[0] = 2.0; + a[1] = 2.0; + a[2] = 3.0; + + b[0] = 1.0; + b[1] = 3.0; + b[2] = 4.0; + + eraPmp(a, b, amb); + + vvd(amb[0], 1.0, 1e-12, "eraPmp", "0", status); + vvd(amb[1], -1.0, 1e-12, "eraPmp", "1", status); + vvd(amb[2], -1.0, 1e-12, "eraPmp", "2", status); + +} + +static void t_pmpx(int *status) +/* +** - - - - - - - +** t _ p m p x +** - - - - - - - +** +** Test eraPmpx function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPmpx, vvd +** +** This revision: 2013 October 2 +*/ +{ + double rc, dc, pr, pd, px, rv, pmt, pob[3], pco[3]; + + + rc = 1.234; + dc = 0.789; + pr = 1e-5; + pd = -2e-5; + px = 1e-2; + rv = 10.0; + pmt = 8.75; + pob[0] = 0.9; + pob[1] = 0.4; + pob[2] = 0.1; + + eraPmpx(rc, dc, pr, pd, px, rv, pmt, pob, pco); + + vvd(pco[0], 0.2328137623960308440, 1e-12, + "eraPmpx", "1", status); + vvd(pco[1], 0.6651097085397855317, 1e-12, + "eraPmpx", "2", status); + vvd(pco[2], 0.7095257765896359847, 1e-12, + "eraPmpx", "3", status); + +} + +static void t_pmsafe(int *status) +/* +** - - - - - - - - - +** t _ p m s a f e +** - - - - - - - - - +** +** Test eraPmsafe function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPmsafe, vvd, viv +** +** This revision: 2013 October 2 +*/ +{ + int j; + double ra1, dec1, pmr1, pmd1, px1, rv1, ep1a, ep1b, ep2a, ep2b, + ra2, dec2, pmr2, pmd2, px2, rv2; + + + ra1 = 1.234; + dec1 = 0.789; + pmr1 = 1e-5; + pmd1 = -2e-5; + px1 = 1e-2; + rv1 = 10.0; + ep1a = 2400000.5; + ep1b = 48348.5625; + ep2a = 2400000.5; + ep2b = 51544.5; + + j = eraPmsafe(ra1, dec1, pmr1, pmd1, px1, rv1, + ep1a, ep1b, ep2a, ep2b, + &ra2, &dec2, &pmr2, &pmd2, &px2, &rv2); + + vvd(ra2, 1.234087484501017061, 1e-12, + "eraPmsafe", "ra2", status); + vvd(dec2, 0.7888249982450468574, 1e-12, + "eraPmsafe", "dec2", status); + vvd(pmr2, 0.9996457663586073988e-5, 1e-12, + "eraPmsafe", "pmr2", status); + vvd(pmd2, -0.2000040085106737816e-4, 1e-16, + "eraPmsafe", "pmd2", status); + vvd(px2, 0.9999997295356765185e-2, 1e-12, + "eraPmsafe", "px2", status); + vvd(rv2, 10.38468380113917014, 1e-10, + "eraPmsafe", "rv2", status); + viv ( j, 0, "eraPmsafe", "j", status); + +} + +static void t_pn(int *status) +/* +** - - - - - +** t _ p n +** - - - - - +** +** Test eraPn function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPn, vvd +** +** This revision: 2013 August 7 +*/ +{ + double p[3], r, u[3]; + + + p[0] = 0.3; + p[1] = 1.2; + p[2] = -2.5; + + eraPn(p, &r, u); + + vvd(r, 2.789265136196270604, 1e-12, "eraPn", "r", status); + + vvd(u[0], 0.1075552109073112058, 1e-12, "eraPn", "u1", status); + vvd(u[1], 0.4302208436292448232, 1e-12, "eraPn", "u2", status); + vvd(u[2], -0.8962934242275933816, 1e-12, "eraPn", "u3", status); + +} + +static void t_pn00(int *status) +/* +** - - - - - - - +** t _ p n 0 0 +** - - - - - - - +** +** Test eraPn00 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPn00, vvd +** +** This revision: 2013 August 7 +*/ +{ + double dpsi, deps, epsa, + rb[3][3], rp[3][3], rbp[3][3], rn[3][3], rbpn[3][3]; + + + dpsi = -0.9632552291149335877e-5; + deps = 0.4063197106621141414e-4; + + eraPn00(2400000.5, 53736.0, dpsi, deps, + &epsa, rb, rp, rbp, rn, rbpn); + + vvd(epsa, 0.4090791789404229916, 1e-12, "eraPn00", "epsa", status); + + vvd(rb[0][0], 0.9999999999999942498, 1e-12, + "eraPn00", "rb11", status); + vvd(rb[0][1], -0.7078279744199196626e-7, 1e-18, + "eraPn00", "rb12", status); + vvd(rb[0][2], 0.8056217146976134152e-7, 1e-18, + "eraPn00", "rb13", status); + + vvd(rb[1][0], 0.7078279477857337206e-7, 1e-18, + "eraPn00", "rb21", status); + vvd(rb[1][1], 0.9999999999999969484, 1e-12, + "eraPn00", "rb22", status); + vvd(rb[1][2], 0.3306041454222136517e-7, 1e-18, + "eraPn00", "rb23", status); + + vvd(rb[2][0], -0.8056217380986972157e-7, 1e-18, + "eraPn00", "rb31", status); + vvd(rb[2][1], -0.3306040883980552500e-7, 1e-18, + "eraPn00", "rb32", status); + vvd(rb[2][2], 0.9999999999999962084, 1e-12, + "eraPn00", "rb33", status); + + vvd(rp[0][0], 0.9999989300532289018, 1e-12, + "eraPn00", "rp11", status); + vvd(rp[0][1], -0.1341647226791824349e-2, 1e-14, + "eraPn00", "rp12", status); + vvd(rp[0][2], -0.5829880927190296547e-3, 1e-14, + "eraPn00", "rp13", status); + + vvd(rp[1][0], 0.1341647231069759008e-2, 1e-14, + "eraPn00", "rp21", status); + vvd(rp[1][1], 0.9999990999908750433, 1e-12, + "eraPn00", "rp22", status); + vvd(rp[1][2], -0.3837444441583715468e-6, 1e-14, + "eraPn00", "rp23", status); + + vvd(rp[2][0], 0.5829880828740957684e-3, 1e-14, + "eraPn00", "rp31", status); + vvd(rp[2][1], -0.3984203267708834759e-6, 1e-14, + "eraPn00", "rp32", status); + vvd(rp[2][2], 0.9999998300623538046, 1e-12, + "eraPn00", "rp33", status); + + vvd(rbp[0][0], 0.9999989300052243993, 1e-12, + "eraPn00", "rbp11", status); + vvd(rbp[0][1], -0.1341717990239703727e-2, 1e-14, + "eraPn00", "rbp12", status); + vvd(rbp[0][2], -0.5829075749891684053e-3, 1e-14, + "eraPn00", "rbp13", status); + + vvd(rbp[1][0], 0.1341718013831739992e-2, 1e-14, + "eraPn00", "rbp21", status); + vvd(rbp[1][1], 0.9999990998959191343, 1e-12, + "eraPn00", "rbp22", status); + vvd(rbp[1][2], -0.3505759733565421170e-6, 1e-14, + "eraPn00", "rbp23", status); + + vvd(rbp[2][0], 0.5829075206857717883e-3, 1e-14, + "eraPn00", "rbp31", status); + vvd(rbp[2][1], -0.4315219955198608970e-6, 1e-14, + "eraPn00", "rbp32", status); + vvd(rbp[2][2], 0.9999998301093036269, 1e-12, + "eraPn00", "rbp33", status); + + vvd(rn[0][0], 0.9999999999536069682, 1e-12, + "eraPn00", "rn11", status); + vvd(rn[0][1], 0.8837746144872140812e-5, 1e-16, + "eraPn00", "rn12", status); + vvd(rn[0][2], 0.3831488838252590008e-5, 1e-16, + "eraPn00", "rn13", status); + + vvd(rn[1][0], -0.8837590456633197506e-5, 1e-16, + "eraPn00", "rn21", status); + vvd(rn[1][1], 0.9999999991354692733, 1e-12, + "eraPn00", "rn22", status); + vvd(rn[1][2], -0.4063198798559573702e-4, 1e-16, + "eraPn00", "rn23", status); + + vvd(rn[2][0], -0.3831847930135328368e-5, 1e-16, + "eraPn00", "rn31", status); + vvd(rn[2][1], 0.4063195412258150427e-4, 1e-16, + "eraPn00", "rn32", status); + vvd(rn[2][2], 0.9999999991671806225, 1e-12, + "eraPn00", "rn33", status); + + vvd(rbpn[0][0], 0.9999989440499982806, 1e-12, + "eraPn00", "rbpn11", status); + vvd(rbpn[0][1], -0.1332880253640848301e-2, 1e-14, + "eraPn00", "rbpn12", status); + vvd(rbpn[0][2], -0.5790760898731087295e-3, 1e-14, + "eraPn00", "rbpn13", status); + + vvd(rbpn[1][0], 0.1332856746979948745e-2, 1e-14, + "eraPn00", "rbpn21", status); + vvd(rbpn[1][1], 0.9999991109064768883, 1e-12, + "eraPn00", "rbpn22", status); + vvd(rbpn[1][2], -0.4097740555723063806e-4, 1e-14, + "eraPn00", "rbpn23", status); + + vvd(rbpn[2][0], 0.5791301929950205000e-3, 1e-14, + "eraPn00", "rbpn31", status); + vvd(rbpn[2][1], 0.4020553681373702931e-4, 1e-14, + "eraPn00", "rbpn32", status); + vvd(rbpn[2][2], 0.9999998314958529887, 1e-12, + "eraPn00", "rbpn33", status); + +} + +static void t_pn00a(int *status) +/* +** - - - - - - - - +** t _ p n 0 0 a +** - - - - - - - - +** +** Test eraPn00a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPn00a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double dpsi, deps, epsa, + rb[3][3], rp[3][3], rbp[3][3], rn[3][3], rbpn[3][3]; + + + eraPn00a(2400000.5, 53736.0, + &dpsi, &deps, &epsa, rb, rp, rbp, rn, rbpn); + + vvd(dpsi, -0.9630909107115518431e-5, 1e-12, + "eraPn00a", "dpsi", status); + vvd(deps, 0.4063239174001678710e-4, 1e-12, + "eraPn00a", "deps", status); + vvd(epsa, 0.4090791789404229916, 1e-12, "eraPn00a", "epsa", status); + + vvd(rb[0][0], 0.9999999999999942498, 1e-12, + "eraPn00a", "rb11", status); + vvd(rb[0][1], -0.7078279744199196626e-7, 1e-16, + "eraPn00a", "rb12", status); + vvd(rb[0][2], 0.8056217146976134152e-7, 1e-16, + "eraPn00a", "rb13", status); + + vvd(rb[1][0], 0.7078279477857337206e-7, 1e-16, + "eraPn00a", "rb21", status); + vvd(rb[1][1], 0.9999999999999969484, 1e-12, + "eraPn00a", "rb22", status); + vvd(rb[1][2], 0.3306041454222136517e-7, 1e-16, + "eraPn00a", "rb23", status); + + vvd(rb[2][0], -0.8056217380986972157e-7, 1e-16, + "eraPn00a", "rb31", status); + vvd(rb[2][1], -0.3306040883980552500e-7, 1e-16, + "eraPn00a", "rb32", status); + vvd(rb[2][2], 0.9999999999999962084, 1e-12, + "eraPn00a", "rb33", status); + + vvd(rp[0][0], 0.9999989300532289018, 1e-12, + "eraPn00a", "rp11", status); + vvd(rp[0][1], -0.1341647226791824349e-2, 1e-14, + "eraPn00a", "rp12", status); + vvd(rp[0][2], -0.5829880927190296547e-3, 1e-14, + "eraPn00a", "rp13", status); + + vvd(rp[1][0], 0.1341647231069759008e-2, 1e-14, + "eraPn00a", "rp21", status); + vvd(rp[1][1], 0.9999990999908750433, 1e-12, + "eraPn00a", "rp22", status); + vvd(rp[1][2], -0.3837444441583715468e-6, 1e-14, + "eraPn00a", "rp23", status); + + vvd(rp[2][0], 0.5829880828740957684e-3, 1e-14, + "eraPn00a", "rp31", status); + vvd(rp[2][1], -0.3984203267708834759e-6, 1e-14, + "eraPn00a", "rp32", status); + vvd(rp[2][2], 0.9999998300623538046, 1e-12, + "eraPn00a", "rp33", status); + + vvd(rbp[0][0], 0.9999989300052243993, 1e-12, + "eraPn00a", "rbp11", status); + vvd(rbp[0][1], -0.1341717990239703727e-2, 1e-14, + "eraPn00a", "rbp12", status); + vvd(rbp[0][2], -0.5829075749891684053e-3, 1e-14, + "eraPn00a", "rbp13", status); + + vvd(rbp[1][0], 0.1341718013831739992e-2, 1e-14, + "eraPn00a", "rbp21", status); + vvd(rbp[1][1], 0.9999990998959191343, 1e-12, + "eraPn00a", "rbp22", status); + vvd(rbp[1][2], -0.3505759733565421170e-6, 1e-14, + "eraPn00a", "rbp23", status); + + vvd(rbp[2][0], 0.5829075206857717883e-3, 1e-14, + "eraPn00a", "rbp31", status); + vvd(rbp[2][1], -0.4315219955198608970e-6, 1e-14, + "eraPn00a", "rbp32", status); + vvd(rbp[2][2], 0.9999998301093036269, 1e-12, + "eraPn00a", "rbp33", status); + + vvd(rn[0][0], 0.9999999999536227949, 1e-12, + "eraPn00a", "rn11", status); + vvd(rn[0][1], 0.8836238544090873336e-5, 1e-14, + "eraPn00a", "rn12", status); + vvd(rn[0][2], 0.3830835237722400669e-5, 1e-14, + "eraPn00a", "rn13", status); + + vvd(rn[1][0], -0.8836082880798569274e-5, 1e-14, + "eraPn00a", "rn21", status); + vvd(rn[1][1], 0.9999999991354655028, 1e-12, + "eraPn00a", "rn22", status); + vvd(rn[1][2], -0.4063240865362499850e-4, 1e-14, + "eraPn00a", "rn23", status); + + vvd(rn[2][0], -0.3831194272065995866e-5, 1e-14, + "eraPn00a", "rn31", status); + vvd(rn[2][1], 0.4063237480216291775e-4, 1e-14, + "eraPn00a", "rn32", status); + vvd(rn[2][2], 0.9999999991671660338, 1e-12, + "eraPn00a", "rn33", status); + + vvd(rbpn[0][0], 0.9999989440476103435, 1e-12, + "eraPn00a", "rbpn11", status); + vvd(rbpn[0][1], -0.1332881761240011763e-2, 1e-14, + "eraPn00a", "rbpn12", status); + vvd(rbpn[0][2], -0.5790767434730085751e-3, 1e-14, + "eraPn00a", "rbpn13", status); + + vvd(rbpn[1][0], 0.1332858254308954658e-2, 1e-14, + "eraPn00a", "rbpn21", status); + vvd(rbpn[1][1], 0.9999991109044505577, 1e-12, + "eraPn00a", "rbpn22", status); + vvd(rbpn[1][2], -0.4097782710396580452e-4, 1e-14, + "eraPn00a", "rbpn23", status); + + vvd(rbpn[2][0], 0.5791308472168152904e-3, 1e-14, + "eraPn00a", "rbpn31", status); + vvd(rbpn[2][1], 0.4020595661591500259e-4, 1e-14, + "eraPn00a", "rbpn32", status); + vvd(rbpn[2][2], 0.9999998314954572304, 1e-12, + "eraPn00a", "rbpn33", status); + +} + +static void t_pn00b(int *status) +/* +** - - - - - - - - +** t _ p n 0 0 b +** - - - - - - - - +** +** Test eraPn00b function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPn00b, vvd +** +** This revision: 2013 August 7 +*/ +{ + double dpsi, deps, epsa, + rb[3][3], rp[3][3], rbp[3][3], rn[3][3], rbpn[3][3]; + + + eraPn00b(2400000.5, 53736.0, &dpsi, &deps, &epsa, + rb, rp, rbp, rn, rbpn); + + vvd(dpsi, -0.9632552291148362783e-5, 1e-12, + "eraPn00b", "dpsi", status); + vvd(deps, 0.4063197106621159367e-4, 1e-12, + "eraPn00b", "deps", status); + vvd(epsa, 0.4090791789404229916, 1e-12, "eraPn00b", "epsa", status); + + vvd(rb[0][0], 0.9999999999999942498, 1e-12, + "eraPn00b", "rb11", status); + vvd(rb[0][1], -0.7078279744199196626e-7, 1e-16, + "eraPn00b", "rb12", status); + vvd(rb[0][2], 0.8056217146976134152e-7, 1e-16, + "eraPn00b", "rb13", status); + + vvd(rb[1][0], 0.7078279477857337206e-7, 1e-16, + "eraPn00b", "rb21", status); + vvd(rb[1][1], 0.9999999999999969484, 1e-12, + "eraPn00b", "rb22", status); + vvd(rb[1][2], 0.3306041454222136517e-7, 1e-16, + "eraPn00b", "rb23", status); + + vvd(rb[2][0], -0.8056217380986972157e-7, 1e-16, + "eraPn00b", "rb31", status); + vvd(rb[2][1], -0.3306040883980552500e-7, 1e-16, + "eraPn00b", "rb32", status); + vvd(rb[2][2], 0.9999999999999962084, 1e-12, + "eraPn00b", "rb33", status); + + vvd(rp[0][0], 0.9999989300532289018, 1e-12, + "eraPn00b", "rp11", status); + vvd(rp[0][1], -0.1341647226791824349e-2, 1e-14, + "eraPn00b", "rp12", status); + vvd(rp[0][2], -0.5829880927190296547e-3, 1e-14, + "eraPn00b", "rp13", status); + + vvd(rp[1][0], 0.1341647231069759008e-2, 1e-14, + "eraPn00b", "rp21", status); + vvd(rp[1][1], 0.9999990999908750433, 1e-12, + "eraPn00b", "rp22", status); + vvd(rp[1][2], -0.3837444441583715468e-6, 1e-14, + "eraPn00b", "rp23", status); + + vvd(rp[2][0], 0.5829880828740957684e-3, 1e-14, + "eraPn00b", "rp31", status); + vvd(rp[2][1], -0.3984203267708834759e-6, 1e-14, + "eraPn00b", "rp32", status); + vvd(rp[2][2], 0.9999998300623538046, 1e-12, + "eraPn00b", "rp33", status); + + vvd(rbp[0][0], 0.9999989300052243993, 1e-12, + "eraPn00b", "rbp11", status); + vvd(rbp[0][1], -0.1341717990239703727e-2, 1e-14, + "eraPn00b", "rbp12", status); + vvd(rbp[0][2], -0.5829075749891684053e-3, 1e-14, + "eraPn00b", "rbp13", status); + + vvd(rbp[1][0], 0.1341718013831739992e-2, 1e-14, + "eraPn00b", "rbp21", status); + vvd(rbp[1][1], 0.9999990998959191343, 1e-12, + "eraPn00b", "rbp22", status); + vvd(rbp[1][2], -0.3505759733565421170e-6, 1e-14, + "eraPn00b", "rbp23", status); + + vvd(rbp[2][0], 0.5829075206857717883e-3, 1e-14, + "eraPn00b", "rbp31", status); + vvd(rbp[2][1], -0.4315219955198608970e-6, 1e-14, + "eraPn00b", "rbp32", status); + vvd(rbp[2][2], 0.9999998301093036269, 1e-12, + "eraPn00b", "rbp33", status); + + vvd(rn[0][0], 0.9999999999536069682, 1e-12, + "eraPn00b", "rn11", status); + vvd(rn[0][1], 0.8837746144871248011e-5, 1e-14, + "eraPn00b", "rn12", status); + vvd(rn[0][2], 0.3831488838252202945e-5, 1e-14, + "eraPn00b", "rn13", status); + + vvd(rn[1][0], -0.8837590456632304720e-5, 1e-14, + "eraPn00b", "rn21", status); + vvd(rn[1][1], 0.9999999991354692733, 1e-12, + "eraPn00b", "rn22", status); + vvd(rn[1][2], -0.4063198798559591654e-4, 1e-14, + "eraPn00b", "rn23", status); + + vvd(rn[2][0], -0.3831847930134941271e-5, 1e-14, + "eraPn00b", "rn31", status); + vvd(rn[2][1], 0.4063195412258168380e-4, 1e-14, + "eraPn00b", "rn32", status); + vvd(rn[2][2], 0.9999999991671806225, 1e-12, + "eraPn00b", "rn33", status); + + vvd(rbpn[0][0], 0.9999989440499982806, 1e-12, + "eraPn00b", "rbpn11", status); + vvd(rbpn[0][1], -0.1332880253640849194e-2, 1e-14, + "eraPn00b", "rbpn12", status); + vvd(rbpn[0][2], -0.5790760898731091166e-3, 1e-14, + "eraPn00b", "rbpn13", status); + + vvd(rbpn[1][0], 0.1332856746979949638e-2, 1e-14, + "eraPn00b", "rbpn21", status); + vvd(rbpn[1][1], 0.9999991109064768883, 1e-12, + "eraPn00b", "rbpn22", status); + vvd(rbpn[1][2], -0.4097740555723081811e-4, 1e-14, + "eraPn00b", "rbpn23", status); + + vvd(rbpn[2][0], 0.5791301929950208873e-3, 1e-14, + "eraPn00b", "rbpn31", status); + vvd(rbpn[2][1], 0.4020553681373720832e-4, 1e-14, + "eraPn00b", "rbpn32", status); + vvd(rbpn[2][2], 0.9999998314958529887, 1e-12, + "eraPn00b", "rbpn33", status); + +} + +static void t_pn06a(int *status) +/* +** - - - - - - - - +** t _ p n 0 6 a +** - - - - - - - - +** +** Test eraPn06a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPn06a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double dpsi, deps, epsa; + double rb[3][3], rp[3][3], rbp[3][3], rn[3][3], rbpn[3][3]; + + + eraPn06a(2400000.5, 53736.0, &dpsi, &deps, &epsa, + rb, rp, rbp, rn, rbpn); + + vvd(dpsi, -0.9630912025820308797e-5, 1e-12, + "eraPn06a", "dpsi", status); + vvd(deps, 0.4063238496887249798e-4, 1e-12, + "eraPn06a", "deps", status); + vvd(epsa, 0.4090789763356509926, 1e-12, "eraPn06a", "epsa", status); + + vvd(rb[0][0], 0.9999999999999942497, 1e-12, + "eraPn06a", "rb11", status); + vvd(rb[0][1], -0.7078368960971557145e-7, 1e-14, + "eraPn06a", "rb12", status); + vvd(rb[0][2], 0.8056213977613185606e-7, 1e-14, + "eraPn06a", "rb13", status); + + vvd(rb[1][0], 0.7078368694637674333e-7, 1e-14, + "eraPn06a", "rb21", status); + vvd(rb[1][1], 0.9999999999999969484, 1e-12, + "eraPn06a", "rb22", status); + vvd(rb[1][2], 0.3305943742989134124e-7, 1e-14, + "eraPn06a", "rb23", status); + + vvd(rb[2][0], -0.8056214211620056792e-7, 1e-14, + "eraPn06a", "rb31", status); + vvd(rb[2][1], -0.3305943172740586950e-7, 1e-14, + "eraPn06a", "rb32", status); + vvd(rb[2][2], 0.9999999999999962084, 1e-12, + "eraPn06a", "rb33", status); + + vvd(rp[0][0], 0.9999989300536854831, 1e-12, + "eraPn06a", "rp11", status); + vvd(rp[0][1], -0.1341646886204443795e-2, 1e-14, + "eraPn06a", "rp12", status); + vvd(rp[0][2], -0.5829880933488627759e-3, 1e-14, + "eraPn06a", "rp13", status); + + vvd(rp[1][0], 0.1341646890569782183e-2, 1e-14, + "eraPn06a", "rp21", status); + vvd(rp[1][1], 0.9999990999913319321, 1e-12, + "eraPn06a", "rp22", status); + vvd(rp[1][2], -0.3835944216374477457e-6, 1e-14, + "eraPn06a", "rp23", status); + + vvd(rp[2][0], 0.5829880833027867368e-3, 1e-14, + "eraPn06a", "rp31", status); + vvd(rp[2][1], -0.3985701514686976112e-6, 1e-14, + "eraPn06a", "rp32", status); + vvd(rp[2][2], 0.9999998300623534950, 1e-12, + "eraPn06a", "rp33", status); + + vvd(rbp[0][0], 0.9999989300056797893, 1e-12, + "eraPn06a", "rbp11", status); + vvd(rbp[0][1], -0.1341717650545059598e-2, 1e-14, + "eraPn06a", "rbp12", status); + vvd(rbp[0][2], -0.5829075756493728856e-3, 1e-14, + "eraPn06a", "rbp13", status); + + vvd(rbp[1][0], 0.1341717674223918101e-2, 1e-14, + "eraPn06a", "rbp21", status); + vvd(rbp[1][1], 0.9999990998963748448, 1e-12, + "eraPn06a", "rbp22", status); + vvd(rbp[1][2], -0.3504269280170069029e-6, 1e-14, + "eraPn06a", "rbp23", status); + + vvd(rbp[2][0], 0.5829075211461454599e-3, 1e-14, + "eraPn06a", "rbp31", status); + vvd(rbp[2][1], -0.4316708436255949093e-6, 1e-14, + "eraPn06a", "rbp32", status); + vvd(rbp[2][2], 0.9999998301093032943, 1e-12, + "eraPn06a", "rbp33", status); + + vvd(rn[0][0], 0.9999999999536227668, 1e-12, + "eraPn06a", "rn11", status); + vvd(rn[0][1], 0.8836241998111535233e-5, 1e-14, + "eraPn06a", "rn12", status); + vvd(rn[0][2], 0.3830834608415287707e-5, 1e-14, + "eraPn06a", "rn13", status); + + vvd(rn[1][0], -0.8836086334870740138e-5, 1e-14, + "eraPn06a", "rn21", status); + vvd(rn[1][1], 0.9999999991354657474, 1e-12, + "eraPn06a", "rn22", status); + vvd(rn[1][2], -0.4063240188248455065e-4, 1e-14, + "eraPn06a", "rn23", status); + + vvd(rn[2][0], -0.3831193642839398128e-5, 1e-14, + "eraPn06a", "rn31", status); + vvd(rn[2][1], 0.4063236803101479770e-4, 1e-14, + "eraPn06a", "rn32", status); + vvd(rn[2][2], 0.9999999991671663114, 1e-12, + "eraPn06a", "rn33", status); + + vvd(rbpn[0][0], 0.9999989440480669738, 1e-12, + "eraPn06a", "rbpn11", status); + vvd(rbpn[0][1], -0.1332881418091915973e-2, 1e-14, + "eraPn06a", "rbpn12", status); + vvd(rbpn[0][2], -0.5790767447612042565e-3, 1e-14, + "eraPn06a", "rbpn13", status); + + vvd(rbpn[1][0], 0.1332857911250989133e-2, 1e-14, + "eraPn06a", "rbpn21", status); + vvd(rbpn[1][1], 0.9999991109049141908, 1e-12, + "eraPn06a", "rbpn22", status); + vvd(rbpn[1][2], -0.4097767128546784878e-4, 1e-14, + "eraPn06a", "rbpn23", status); + + vvd(rbpn[2][0], 0.5791308482835292617e-3, 1e-14, + "eraPn06a", "rbpn31", status); + vvd(rbpn[2][1], 0.4020580099454020310e-4, 1e-14, + "eraPn06a", "rbpn32", status); + vvd(rbpn[2][2], 0.9999998314954628695, 1e-12, + "eraPn06a", "rbpn33", status); + +} + +static void t_pn06(int *status) +/* +** - - - - - - - +** t _ p n 0 6 +** - - - - - - - +** +** Test eraPn06 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPn06, vvd +** +** This revision: 2013 August 7 +*/ +{ + double dpsi, deps, epsa, + rb[3][3], rp[3][3], rbp[3][3], rn[3][3], rbpn[3][3]; + + + dpsi = -0.9632552291149335877e-5; + deps = 0.4063197106621141414e-4; + + eraPn06(2400000.5, 53736.0, dpsi, deps, + &epsa, rb, rp, rbp, rn, rbpn); + + vvd(epsa, 0.4090789763356509926, 1e-12, "eraPn06", "epsa", status); + + vvd(rb[0][0], 0.9999999999999942497, 1e-12, + "eraPn06", "rb11", status); + vvd(rb[0][1], -0.7078368960971557145e-7, 1e-14, + "eraPn06", "rb12", status); + vvd(rb[0][2], 0.8056213977613185606e-7, 1e-14, + "eraPn06", "rb13", status); + + vvd(rb[1][0], 0.7078368694637674333e-7, 1e-14, + "eraPn06", "rb21", status); + vvd(rb[1][1], 0.9999999999999969484, 1e-12, + "eraPn06", "rb22", status); + vvd(rb[1][2], 0.3305943742989134124e-7, 1e-14, + "eraPn06", "rb23", status); + + vvd(rb[2][0], -0.8056214211620056792e-7, 1e-14, + "eraPn06", "rb31", status); + vvd(rb[2][1], -0.3305943172740586950e-7, 1e-14, + "eraPn06", "rb32", status); + vvd(rb[2][2], 0.9999999999999962084, 1e-12, + "eraPn06", "rb33", status); + + vvd(rp[0][0], 0.9999989300536854831, 1e-12, + "eraPn06", "rp11", status); + vvd(rp[0][1], -0.1341646886204443795e-2, 1e-14, + "eraPn06", "rp12", status); + vvd(rp[0][2], -0.5829880933488627759e-3, 1e-14, + "eraPn06", "rp13", status); + + vvd(rp[1][0], 0.1341646890569782183e-2, 1e-14, + "eraPn06", "rp21", status); + vvd(rp[1][1], 0.9999990999913319321, 1e-12, + "eraPn06", "rp22", status); + vvd(rp[1][2], -0.3835944216374477457e-6, 1e-14, + "eraPn06", "rp23", status); + + vvd(rp[2][0], 0.5829880833027867368e-3, 1e-14, + "eraPn06", "rp31", status); + vvd(rp[2][1], -0.3985701514686976112e-6, 1e-14, + "eraPn06", "rp32", status); + vvd(rp[2][2], 0.9999998300623534950, 1e-12, + "eraPn06", "rp33", status); + + vvd(rbp[0][0], 0.9999989300056797893, 1e-12, + "eraPn06", "rbp11", status); + vvd(rbp[0][1], -0.1341717650545059598e-2, 1e-14, + "eraPn06", "rbp12", status); + vvd(rbp[0][2], -0.5829075756493728856e-3, 1e-14, + "eraPn06", "rbp13", status); + + vvd(rbp[1][0], 0.1341717674223918101e-2, 1e-14, + "eraPn06", "rbp21", status); + vvd(rbp[1][1], 0.9999990998963748448, 1e-12, + "eraPn06", "rbp22", status); + vvd(rbp[1][2], -0.3504269280170069029e-6, 1e-14, + "eraPn06", "rbp23", status); + + vvd(rbp[2][0], 0.5829075211461454599e-3, 1e-14, + "eraPn06", "rbp31", status); + vvd(rbp[2][1], -0.4316708436255949093e-6, 1e-14, + "eraPn06", "rbp32", status); + vvd(rbp[2][2], 0.9999998301093032943, 1e-12, + "eraPn06", "rbp33", status); + + vvd(rn[0][0], 0.9999999999536069682, 1e-12, + "eraPn06", "rn11", status); + vvd(rn[0][1], 0.8837746921149881914e-5, 1e-14, + "eraPn06", "rn12", status); + vvd(rn[0][2], 0.3831487047682968703e-5, 1e-14, + "eraPn06", "rn13", status); + + vvd(rn[1][0], -0.8837591232983692340e-5, 1e-14, + "eraPn06", "rn21", status); + vvd(rn[1][1], 0.9999999991354692664, 1e-12, + "eraPn06", "rn22", status); + vvd(rn[1][2], -0.4063198798558931215e-4, 1e-14, + "eraPn06", "rn23", status); + + vvd(rn[2][0], -0.3831846139597250235e-5, 1e-14, + "eraPn06", "rn31", status); + vvd(rn[2][1], 0.4063195412258792914e-4, 1e-14, + "eraPn06", "rn32", status); + vvd(rn[2][2], 0.9999999991671806293, 1e-12, + "eraPn06", "rn33", status); + + vvd(rbpn[0][0], 0.9999989440504506688, 1e-12, + "eraPn06", "rbpn11", status); + vvd(rbpn[0][1], -0.1332879913170492655e-2, 1e-14, + "eraPn06", "rbpn12", status); + vvd(rbpn[0][2], -0.5790760923225655753e-3, 1e-14, + "eraPn06", "rbpn13", status); + + vvd(rbpn[1][0], 0.1332856406595754748e-2, 1e-14, + "eraPn06", "rbpn21", status); + vvd(rbpn[1][1], 0.9999991109069366795, 1e-12, + "eraPn06", "rbpn22", status); + vvd(rbpn[1][2], -0.4097725651142641812e-4, 1e-14, + "eraPn06", "rbpn23", status); + + vvd(rbpn[2][0], 0.5791301952321296716e-3, 1e-14, + "eraPn06", "rbpn31", status); + vvd(rbpn[2][1], 0.4020538796195230577e-4, 1e-14, + "eraPn06", "rbpn32", status); + vvd(rbpn[2][2], 0.9999998314958576778, 1e-12, + "eraPn06", "rbpn33", status); + +} + +static void t_pnm00a(int *status) +/* +** - - - - - - - - - +** t _ p n m 0 0 a +** - - - - - - - - - +** +** Test eraPnm00a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPnm00a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rbpn[3][3]; + + + eraPnm00a(2400000.5, 50123.9999, rbpn); + + vvd(rbpn[0][0], 0.9999995832793134257, 1e-12, + "eraPnm00a", "11", status); + vvd(rbpn[0][1], 0.8372384254137809439e-3, 1e-14, + "eraPnm00a", "12", status); + vvd(rbpn[0][2], 0.3639684306407150645e-3, 1e-14, + "eraPnm00a", "13", status); + + vvd(rbpn[1][0], -0.8372535226570394543e-3, 1e-14, + "eraPnm00a", "21", status); + vvd(rbpn[1][1], 0.9999996486491582471, 1e-12, + "eraPnm00a", "22", status); + vvd(rbpn[1][2], 0.4132915262664072381e-4, 1e-14, + "eraPnm00a", "23", status); + + vvd(rbpn[2][0], -0.3639337004054317729e-3, 1e-14, + "eraPnm00a", "31", status); + vvd(rbpn[2][1], -0.4163386925461775873e-4, 1e-14, + "eraPnm00a", "32", status); + vvd(rbpn[2][2], 0.9999999329094390695, 1e-12, + "eraPnm00a", "33", status); + +} + +static void t_pnm00b(int *status) +/* +** - - - - - - - - - +** t _ p n m 0 0 b +** - - - - - - - - - +** +** Test eraPnm00b function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPnm00b, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rbpn[3][3]; + + + eraPnm00b(2400000.5, 50123.9999, rbpn); + + vvd(rbpn[0][0], 0.9999995832776208280, 1e-12, + "eraPnm00b", "11", status); + vvd(rbpn[0][1], 0.8372401264429654837e-3, 1e-14, + "eraPnm00b", "12", status); + vvd(rbpn[0][2], 0.3639691681450271771e-3, 1e-14, + "eraPnm00b", "13", status); + + vvd(rbpn[1][0], -0.8372552234147137424e-3, 1e-14, + "eraPnm00b", "21", status); + vvd(rbpn[1][1], 0.9999996486477686123, 1e-12, + "eraPnm00b", "22", status); + vvd(rbpn[1][2], 0.4132832190946052890e-4, 1e-14, + "eraPnm00b", "23", status); + + vvd(rbpn[2][0], -0.3639344385341866407e-3, 1e-14, + "eraPnm00b", "31", status); + vvd(rbpn[2][1], -0.4163303977421522785e-4, 1e-14, + "eraPnm00b", "32", status); + vvd(rbpn[2][2], 0.9999999329092049734, 1e-12, + "eraPnm00b", "33", status); + +} + +static void t_pnm06a(int *status) +/* +** - - - - - - - - - +** t _ p n m 0 6 a +** - - - - - - - - - +** +** Test eraPnm06a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPnm06a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rbpn[3][3]; + + + eraPnm06a(2400000.5, 50123.9999, rbpn); + + vvd(rbpn[0][0], 0.9999995832794205484, 1e-12, + "eraPnm06a", "11", status); + vvd(rbpn[0][1], 0.8372382772630962111e-3, 1e-14, + "eraPnm06a", "12", status); + vvd(rbpn[0][2], 0.3639684771140623099e-3, 1e-14, + "eraPnm06a", "13", status); + + vvd(rbpn[1][0], -0.8372533744743683605e-3, 1e-14, + "eraPnm06a", "21", status); + vvd(rbpn[1][1], 0.9999996486492861646, 1e-12, + "eraPnm06a", "22", status); + vvd(rbpn[1][2], 0.4132905944611019498e-4, 1e-14, + "eraPnm06a", "23", status); + + vvd(rbpn[2][0], -0.3639337469629464969e-3, 1e-14, + "eraPnm06a", "31", status); + vvd(rbpn[2][1], -0.4163377605910663999e-4, 1e-14, + "eraPnm06a", "32", status); + vvd(rbpn[2][2], 0.9999999329094260057, 1e-12, + "eraPnm06a", "33", status); + +} + +static void t_pnm80(int *status) +/* +** - - - - - - - - +** t _ p n m 8 0 +** - - - - - - - - +** +** Test eraPnm80 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPnm80, vvd +** +** This revision: 2013 August 7 +*/ +{ + double rmatpn[3][3]; + + + eraPnm80(2400000.5, 50123.9999, rmatpn); + + vvd(rmatpn[0][0], 0.9999995831934611169, 1e-12, + "eraPnm80", "11", status); + vvd(rmatpn[0][1], 0.8373654045728124011e-3, 1e-14, + "eraPnm80", "12", status); + vvd(rmatpn[0][2], 0.3639121916933106191e-3, 1e-14, + "eraPnm80", "13", status); + + vvd(rmatpn[1][0], -0.8373804896118301316e-3, 1e-14, + "eraPnm80", "21", status); + vvd(rmatpn[1][1], 0.9999996485439674092, 1e-12, + "eraPnm80", "22", status); + vvd(rmatpn[1][2], 0.4130202510421549752e-4, 1e-14, + "eraPnm80", "23", status); + + vvd(rmatpn[2][0], -0.3638774789072144473e-3, 1e-14, + "eraPnm80", "31", status); + vvd(rmatpn[2][1], -0.4160674085851722359e-4, 1e-14, + "eraPnm80", "32", status); + vvd(rmatpn[2][2], 0.9999999329310274805, 1e-12, + "eraPnm80", "33", status); + +} + +static void t_pom00(int *status) +/* +** - - - - - - - - +** t _ p o m 0 0 +** - - - - - - - - +** +** Test eraPom00 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPom00, vvd +** +** This revision: 2013 August 7 +*/ +{ + double xp, yp, sp, rpom[3][3]; + + + xp = 2.55060238e-7; + yp = 1.860359247e-6; + sp = -0.1367174580728891460e-10; + + eraPom00(xp, yp, sp, rpom); + + vvd(rpom[0][0], 0.9999999999999674721, 1e-12, + "eraPom00", "11", status); + vvd(rpom[0][1], -0.1367174580728846989e-10, 1e-16, + "eraPom00", "12", status); + vvd(rpom[0][2], 0.2550602379999972345e-6, 1e-16, + "eraPom00", "13", status); + + vvd(rpom[1][0], 0.1414624947957029801e-10, 1e-16, + "eraPom00", "21", status); + vvd(rpom[1][1], 0.9999999999982695317, 1e-12, + "eraPom00", "22", status); + vvd(rpom[1][2], -0.1860359246998866389e-5, 1e-16, + "eraPom00", "23", status); + + vvd(rpom[2][0], -0.2550602379741215021e-6, 1e-16, + "eraPom00", "31", status); + vvd(rpom[2][1], 0.1860359247002414021e-5, 1e-16, + "eraPom00", "32", status); + vvd(rpom[2][2], 0.9999999999982370039, 1e-12, + "eraPom00", "33", status); + +} + +static void t_ppp(int *status) +/* +** - - - - - - +** t _ p p p +** - - - - - - +** +** Test eraPpp function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPpp, vvd +** +** This revision: 2013 August 7 +*/ +{ + double a[3], b[3], apb[3]; + + + a[0] = 2.0; + a[1] = 2.0; + a[2] = 3.0; + + b[0] = 1.0; + b[1] = 3.0; + b[2] = 4.0; + + eraPpp(a, b, apb); + + vvd(apb[0], 3.0, 1e-12, "eraPpp", "0", status); + vvd(apb[1], 5.0, 1e-12, "eraPpp", "1", status); + vvd(apb[2], 7.0, 1e-12, "eraPpp", "2", status); + +} + +static void t_ppsp(int *status) +/* +** - - - - - - - +** t _ p p s p +** - - - - - - - +** +** Test eraPpsp function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPpsp, vvd +** +** This revision: 2013 August 7 +*/ +{ + double a[3], s, b[3], apsb[3]; + + + a[0] = 2.0; + a[1] = 2.0; + a[2] = 3.0; + + s = 5.0; + + b[0] = 1.0; + b[1] = 3.0; + b[2] = 4.0; + + eraPpsp(a, s, b, apsb); + + vvd(apsb[0], 7.0, 1e-12, "eraPpsp", "0", status); + vvd(apsb[1], 17.0, 1e-12, "eraPpsp", "1", status); + vvd(apsb[2], 23.0, 1e-12, "eraPpsp", "2", status); + +} + +static void t_pr00(int *status) +/* +** - - - - - - - +** t _ p r 0 0 +** - - - - - - - +** +** Test eraPr00 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPr00, vvd +** +** This revision: 2013 August 7 +*/ +{ + double dpsipr, depspr; + + eraPr00(2400000.5, 53736, &dpsipr, &depspr); + + vvd(dpsipr, -0.8716465172668347629e-7, 1e-22, + "eraPr00", "dpsipr", status); + vvd(depspr, -0.7342018386722813087e-8, 1e-22, + "eraPr00", "depspr", status); + +} + +static void t_prec76(int *status) +/* +** - - - - - - - - - +** t _ p r e c 7 6 +** - - - - - - - - - +** +** Test eraPrec76 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPrec76, vvd +** +** This revision: 2013 August 7 +*/ +{ + double ep01, ep02, ep11, ep12, zeta, z, theta; + + + ep01 = 2400000.5; + ep02 = 33282.0; + ep11 = 2400000.5; + ep12 = 51544.0; + + eraPrec76(ep01, ep02, ep11, ep12, &zeta, &z, &theta); + + vvd(zeta, 0.5588961642000161243e-2, 1e-12, + "eraPrec76", "zeta", status); + vvd(z, 0.5589922365870680624e-2, 1e-12, + "eraPrec76", "z", status); + vvd(theta, 0.4858945471687296760e-2, 1e-12, + "eraPrec76", "theta", status); + +} + +static void t_pv2p(int *status) +/* +** - - - - - - - +** t _ p v 2 p +** - - - - - - - +** +** Test eraPv2p function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPv2p, vvd +** +** This revision: 2013 August 7 +*/ +{ + double pv[2][3], p[3]; + + + pv[0][0] = 0.3; + pv[0][1] = 1.2; + pv[0][2] = -2.5; + + pv[1][0] = -0.5; + pv[1][1] = 3.1; + pv[1][2] = 0.9; + + eraPv2p(pv, p); + + vvd(p[0], 0.3, 0.0, "eraPv2p", "1", status); + vvd(p[1], 1.2, 0.0, "eraPv2p", "2", status); + vvd(p[2], -2.5, 0.0, "eraPv2p", "3", status); + +} + +static void t_pv2s(int *status) +/* +** - - - - - - - +** t _ p v 2 s +** - - - - - - - +** +** Test eraPv2s function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPv2s, vvd +** +** This revision: 2013 August 7 +*/ +{ + double pv[2][3], theta, phi, r, td, pd, rd; + + + pv[0][0] = -0.4514964673880165; + pv[0][1] = 0.03093394277342585; + pv[0][2] = 0.05594668105108779; + + pv[1][0] = 1.292270850663260e-5; + pv[1][1] = 2.652814182060692e-6; + pv[1][2] = 2.568431853930293e-6; + + eraPv2s(pv, &theta, &phi, &r, &td, &pd, &rd); + + vvd(theta, 3.073185307179586515, 1e-12, "eraPv2s", "theta", status); + vvd(phi, 0.1229999999999999992, 1e-12, "eraPv2s", "phi", status); + vvd(r, 0.4559999999999999757, 1e-12, "eraPv2s", "r", status); + vvd(td, -0.7800000000000000364e-5, 1e-16, "eraPv2s", "td", status); + vvd(pd, 0.9010000000000001639e-5, 1e-16, "eraPv2s", "pd", status); + vvd(rd, -0.1229999999999999832e-4, 1e-16, "eraPv2s", "rd", status); + +} + +static void t_pvdpv(int *status) +/* +** - - - - - - - - +** t _ p v d p v +** - - - - - - - - +** +** Test eraPvdpv function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPvdpv, vvd +** +** This revision: 2013 August 7 +*/ +{ + double a[2][3], b[2][3], adb[2]; + + + a[0][0] = 2.0; + a[0][1] = 2.0; + a[0][2] = 3.0; + + a[1][0] = 6.0; + a[1][1] = 0.0; + a[1][2] = 4.0; + + b[0][0] = 1.0; + b[0][1] = 3.0; + b[0][2] = 4.0; + + b[1][0] = 0.0; + b[1][1] = 2.0; + b[1][2] = 8.0; + + eraPvdpv(a, b, adb); + + vvd(adb[0], 20.0, 1e-12, "eraPvdpv", "1", status); + vvd(adb[1], 50.0, 1e-12, "eraPvdpv", "2", status); + +} + +static void t_pvm(int *status) +/* +** - - - - - - +** t _ p v m +** - - - - - - +** +** Test eraPvm function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPvm, vvd +** +** This revision: 2013 August 7 +*/ +{ + double pv[2][3], r, s; + + + pv[0][0] = 0.3; + pv[0][1] = 1.2; + pv[0][2] = -2.5; + + pv[1][0] = 0.45; + pv[1][1] = -0.25; + pv[1][2] = 1.1; + + eraPvm(pv, &r, &s); + + vvd(r, 2.789265136196270604, 1e-12, "eraPvm", "r", status); + vvd(s, 1.214495780149111922, 1e-12, "eraPvm", "s", status); + +} + +static void t_pvmpv(int *status) +/* +** - - - - - - - - +** t _ p v m p v +** - - - - - - - - +** +** Test eraPvmpv function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPvmpv, vvd +** +** This revision: 2013 August 7 +*/ +{ + double a[2][3], b[2][3], amb[2][3]; + + + a[0][0] = 2.0; + a[0][1] = 2.0; + a[0][2] = 3.0; + + a[1][0] = 5.0; + a[1][1] = 6.0; + a[1][2] = 3.0; + + b[0][0] = 1.0; + b[0][1] = 3.0; + b[0][2] = 4.0; + + b[1][0] = 3.0; + b[1][1] = 2.0; + b[1][2] = 1.0; + + eraPvmpv(a, b, amb); + + vvd(amb[0][0], 1.0, 1e-12, "eraPvmpv", "11", status); + vvd(amb[0][1], -1.0, 1e-12, "eraPvmpv", "21", status); + vvd(amb[0][2], -1.0, 1e-12, "eraPvmpv", "31", status); + + vvd(amb[1][0], 2.0, 1e-12, "eraPvmpv", "12", status); + vvd(amb[1][1], 4.0, 1e-12, "eraPvmpv", "22", status); + vvd(amb[1][2], 2.0, 1e-12, "eraPvmpv", "32", status); + +} + +static void t_pvppv(int *status) +/* +** - - - - - - - - +** t _ p v p p v +** - - - - - - - - +** +** Test eraPvppv function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPvppv, vvd +** +** This revision: 2013 August 7 +*/ +{ + double a[2][3], b[2][3], apb[2][3]; + + + a[0][0] = 2.0; + a[0][1] = 2.0; + a[0][2] = 3.0; + + a[1][0] = 5.0; + a[1][1] = 6.0; + a[1][2] = 3.0; + + b[0][0] = 1.0; + b[0][1] = 3.0; + b[0][2] = 4.0; + + b[1][0] = 3.0; + b[1][1] = 2.0; + b[1][2] = 1.0; + + eraPvppv(a, b, apb); + + vvd(apb[0][0], 3.0, 1e-12, "eraPvppv", "p1", status); + vvd(apb[0][1], 5.0, 1e-12, "eraPvppv", "p2", status); + vvd(apb[0][2], 7.0, 1e-12, "eraPvppv", "p3", status); + + vvd(apb[1][0], 8.0, 1e-12, "eraPvppv", "v1", status); + vvd(apb[1][1], 8.0, 1e-12, "eraPvppv", "v2", status); + vvd(apb[1][2], 4.0, 1e-12, "eraPvppv", "v3", status); + +} + +static void t_pvstar(int *status) +/* +** - - - - - - - - - +** t _ p v s t a r +** - - - - - - - - - +** +** Test eraPvstar function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPvstar, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double pv[2][3], ra, dec, pmr, pmd, px, rv; + int j; + + + pv[0][0] = 126668.5912743160601; + pv[0][1] = 2136.792716839935195; + pv[0][2] = -245251.2339876830091; + + pv[1][0] = -0.4051854035740712739e-2; + pv[1][1] = -0.6253919754866173866e-2; + pv[1][2] = 0.1189353719774107189e-1; + + j = eraPvstar(pv, &ra, &dec, &pmr, &pmd, &px, &rv); + + vvd(ra, 0.1686756e-1, 1e-12, "eraPvstar", "ra", status); + vvd(dec, -1.093989828, 1e-12, "eraPvstar", "dec", status); + vvd(pmr, -0.178323516e-4, 1e-16, "eraPvstar", "pmr", status); + vvd(pmd, 0.2336024047e-5, 1e-16, "eraPvstar", "pmd", status); + vvd(px, 0.74723, 1e-12, "eraPvstar", "px", status); + vvd(rv, -21.6, 1e-11, "eraPvstar", "rv", status); + + viv(j, 0, "eraPvstar", "j", status); + +} + +static void t_pvtob(int *status) +/* +** - - - - - - - - +** t _ p v t o b +** - - - - - - - - +** +** Test eraPvtob function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPvtob, vvd +** +** This revision: 2013 October 2 +*/ +{ + double elong, phi, hm, xp, yp, sp, theta, pv[2][3]; + + + elong = 2.0; + phi = 0.5; + hm = 3000.0; + xp = 1e-6; + yp = -0.5e-6; + sp = 1e-8; + theta = 5.0; + + eraPvtob(elong, phi, hm, xp, yp, sp, theta, pv); + + vvd(pv[0][0], 4225081.367071159207, 1e-5, + "eraPvtob", "p(1)", status); + vvd(pv[0][1], 3681943.215856198144, 1e-5, + "eraPvtob", "p(2)", status); + vvd(pv[0][2], 3041149.399241260785, 1e-5, + "eraPvtob", "p(3)", status); + vvd(pv[1][0], -268.4915389365998787, 1e-9, + "eraPvtob", "v(1)", status); + vvd(pv[1][1], 308.0977983288903123, 1e-9, + "eraPvtob", "v(2)", status); + vvd(pv[1][2], 0, 0, + "eraPvtob", "v(3)", status); + +} + +static void t_pvu(int *status) +/* +** - - - - - - +** t _ p v u +** - - - - - - +** +** Test eraPvu function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPvu, vvd +** +** This revision: 2013 August 7 +*/ +{ + double pv[2][3], upv[2][3]; + + + pv[0][0] = 126668.5912743160734; + pv[0][1] = 2136.792716839935565; + pv[0][2] = -245251.2339876830229; + + pv[1][0] = -0.4051854035740713039e-2; + pv[1][1] = -0.6253919754866175788e-2; + pv[1][2] = 0.1189353719774107615e-1; + + eraPvu(2920.0, pv, upv); + + vvd(upv[0][0], 126656.7598605317105, 1e-12, + "eraPvu", "p1", status); + vvd(upv[0][1], 2118.531271155726332, 1e-12, + "eraPvu", "p2", status); + vvd(upv[0][2], -245216.5048590656190, 1e-12, + "eraPvu", "p3", status); + + vvd(upv[1][0], -0.4051854035740713039e-2, 1e-12, + "eraPvu", "v1", status); + vvd(upv[1][1], -0.6253919754866175788e-2, 1e-12, + "eraPvu", "v2", status); + vvd(upv[1][2], 0.1189353719774107615e-1, 1e-12, + "eraPvu", "v3", status); + +} + +static void t_pvup(int *status) +/* +** - - - - - - - +** t _ p v u p +** - - - - - - - +** +** Test eraPvup function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPvup, vvd +** +** This revision: 2013 August 7 +*/ +{ + double pv[2][3], p[3]; + + + pv[0][0] = 126668.5912743160734; + pv[0][1] = 2136.792716839935565; + pv[0][2] = -245251.2339876830229; + + pv[1][0] = -0.4051854035740713039e-2; + pv[1][1] = -0.6253919754866175788e-2; + pv[1][2] = 0.1189353719774107615e-1; + + eraPvup(2920.0, pv, p); + + vvd(p[0], 126656.7598605317105, 1e-12, "eraPvup", "1", status); + vvd(p[1], 2118.531271155726332, 1e-12, "eraPvup", "2", status); + vvd(p[2], -245216.5048590656190, 1e-12, "eraPvup", "3", status); + +} + +static void t_pvxpv(int *status) +/* +** - - - - - - - - +** t _ p v x p v +** - - - - - - - - +** +** Test eraPvxpv function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPvxpv, vvd +** +** This revision: 2013 August 7 +*/ +{ + double a[2][3], b[2][3], axb[2][3]; + + + a[0][0] = 2.0; + a[0][1] = 2.0; + a[0][2] = 3.0; + + a[1][0] = 6.0; + a[1][1] = 0.0; + a[1][2] = 4.0; + + b[0][0] = 1.0; + b[0][1] = 3.0; + b[0][2] = 4.0; + + b[1][0] = 0.0; + b[1][1] = 2.0; + b[1][2] = 8.0; + + eraPvxpv(a, b, axb); + + vvd(axb[0][0], -1.0, 1e-12, "eraPvxpv", "p1", status); + vvd(axb[0][1], -5.0, 1e-12, "eraPvxpv", "p2", status); + vvd(axb[0][2], 4.0, 1e-12, "eraPvxpv", "p3", status); + + vvd(axb[1][0], -2.0, 1e-12, "eraPvxpv", "v1", status); + vvd(axb[1][1], -36.0, 1e-12, "eraPvxpv", "v2", status); + vvd(axb[1][2], 22.0, 1e-12, "eraPvxpv", "v3", status); + +} + +static void t_pxp(int *status) +/* +** - - - - - - +** t _ p x p +** - - - - - - +** +** Test eraPxp function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraPxp, vvd +** +** This revision: 2013 August 7 +*/ +{ + double a[3], b[3], axb[3]; + + + a[0] = 2.0; + a[1] = 2.0; + a[2] = 3.0; + + b[0] = 1.0; + b[1] = 3.0; + b[2] = 4.0; + + eraPxp(a, b, axb); + + vvd(axb[0], -1.0, 1e-12, "eraPxp", "1", status); + vvd(axb[1], -5.0, 1e-12, "eraPxp", "2", status); + vvd(axb[2], 4.0, 1e-12, "eraPxp", "3", status); + +} + +static void t_refco(int *status) +/* +** - - - - - - - - +** t _ r e f c o +** - - - - - - - - +** +** Test eraRefco function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraRefco, vvd +** +** This revision: 2013 October 2 +*/ +{ + double phpa, tc, rh, wl, refa, refb; + + + phpa = 800.0; + tc = 10.0; + rh = 0.9; + wl = 0.4; + + eraRefco(phpa, tc, rh, wl, &refa, &refb); + + vvd(refa, 0.2264949956241415009e-3, 1e-15, + "eraRefco", "refa", status); + vvd(refb, -0.2598658261729343970e-6, 1e-18, + "eraRefco", "refb", status); + +} + +static void t_rm2v(int *status) +/* +** - - - - - - - +** t _ r m 2 v +** - - - - - - - +** +** Test eraRm2v function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraRm2v, vvd +** +** This revision: 2013 August 7 +*/ +{ + double r[3][3], w[3]; + + + r[0][0] = 0.00; + r[0][1] = -0.80; + r[0][2] = -0.60; + + r[1][0] = 0.80; + r[1][1] = -0.36; + r[1][2] = 0.48; + + r[2][0] = 0.60; + r[2][1] = 0.48; + r[2][2] = -0.64; + + eraRm2v(r, w); + + vvd(w[0], 0.0, 1e-12, "eraRm2v", "1", status); + vvd(w[1], 1.413716694115406957, 1e-12, "eraRm2v", "2", status); + vvd(w[2], -1.884955592153875943, 1e-12, "eraRm2v", "3", status); + +} + +static void t_rv2m(int *status) +/* +** - - - - - - - +** t _ r v 2 m +** - - - - - - - +** +** Test eraRv2m function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraRv2m, vvd +** +** This revision: 2013 August 7 +*/ +{ + double w[3], r[3][3]; + + + w[0] = 0.0; + w[1] = 1.41371669; + w[2] = -1.88495559; + + eraRv2m(w, r); + + vvd(r[0][0], -0.7071067782221119905, 1e-14, "eraRv2m", "11", status); + vvd(r[0][1], -0.5656854276809129651, 1e-14, "eraRv2m", "12", status); + vvd(r[0][2], -0.4242640700104211225, 1e-14, "eraRv2m", "13", status); + + vvd(r[1][0], 0.5656854276809129651, 1e-14, "eraRv2m", "21", status); + vvd(r[1][1], -0.0925483394532274246, 1e-14, "eraRv2m", "22", status); + vvd(r[1][2], -0.8194112531408833269, 1e-14, "eraRv2m", "23", status); + + vvd(r[2][0], 0.4242640700104211225, 1e-14, "eraRv2m", "31", status); + vvd(r[2][1], -0.8194112531408833269, 1e-14, "eraRv2m", "32", status); + vvd(r[2][2], 0.3854415612311154341, 1e-14, "eraRv2m", "33", status); + +} + +static void t_rx(int *status) +/* +** - - - - - +** t _ r x +** - - - - - +** +** Test eraRx function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraRx, vvd +** +** This revision: 2013 August 7 +*/ +{ + double phi, r[3][3]; + + + phi = 0.3456789; + + r[0][0] = 2.0; + r[0][1] = 3.0; + r[0][2] = 2.0; + + r[1][0] = 3.0; + r[1][1] = 2.0; + r[1][2] = 3.0; + + r[2][0] = 3.0; + r[2][1] = 4.0; + r[2][2] = 5.0; + + eraRx(phi, r); + + vvd(r[0][0], 2.0, 0.0, "eraRx", "11", status); + vvd(r[0][1], 3.0, 0.0, "eraRx", "12", status); + vvd(r[0][2], 2.0, 0.0, "eraRx", "13", status); + + vvd(r[1][0], 3.839043388235612460, 1e-12, "eraRx", "21", status); + vvd(r[1][1], 3.237033249594111899, 1e-12, "eraRx", "22", status); + vvd(r[1][2], 4.516714379005982719, 1e-12, "eraRx", "23", status); + + vvd(r[2][0], 1.806030415924501684, 1e-12, "eraRx", "31", status); + vvd(r[2][1], 3.085711545336372503, 1e-12, "eraRx", "32", status); + vvd(r[2][2], 3.687721683977873065, 1e-12, "eraRx", "33", status); + +} + +static void t_rxp(int *status) +/* +** - - - - - - +** t _ r x p +** - - - - - - +** +** Test eraRxp function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraRxp, vvd +** +** This revision: 2013 August 7 +*/ +{ + double r[3][3], p[3], rp[3]; + + + r[0][0] = 2.0; + r[0][1] = 3.0; + r[0][2] = 2.0; + + r[1][0] = 3.0; + r[1][1] = 2.0; + r[1][2] = 3.0; + + r[2][0] = 3.0; + r[2][1] = 4.0; + r[2][2] = 5.0; + + p[0] = 0.2; + p[1] = 1.5; + p[2] = 0.1; + + eraRxp(r, p, rp); + + vvd(rp[0], 5.1, 1e-12, "eraRxp", "1", status); + vvd(rp[1], 3.9, 1e-12, "eraRxp", "2", status); + vvd(rp[2], 7.1, 1e-12, "eraRxp", "3", status); + +} + +static void t_rxpv(int *status) +/* +** - - - - - - - +** t _ r x p v +** - - - - - - - +** +** Test eraRxpv function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraRxpv, vvd +** +** This revision: 2013 August 7 +*/ +{ + double r[3][3], pv[2][3], rpv[2][3]; + + + r[0][0] = 2.0; + r[0][1] = 3.0; + r[0][2] = 2.0; + + r[1][0] = 3.0; + r[1][1] = 2.0; + r[1][2] = 3.0; + + r[2][0] = 3.0; + r[2][1] = 4.0; + r[2][2] = 5.0; + + pv[0][0] = 0.2; + pv[0][1] = 1.5; + pv[0][2] = 0.1; + + pv[1][0] = 1.5; + pv[1][1] = 0.2; + pv[1][2] = 0.1; + + eraRxpv(r, pv, rpv); + + vvd(rpv[0][0], 5.1, 1e-12, "eraRxpv", "11", status); + vvd(rpv[1][0], 3.8, 1e-12, "eraRxpv", "12", status); + + vvd(rpv[0][1], 3.9, 1e-12, "eraRxpv", "21", status); + vvd(rpv[1][1], 5.2, 1e-12, "eraRxpv", "22", status); + + vvd(rpv[0][2], 7.1, 1e-12, "eraRxpv", "31", status); + vvd(rpv[1][2], 5.8, 1e-12, "eraRxpv", "32", status); + +} + +static void t_rxr(int *status) +/* +** - - - - - - +** t _ r x r +** - - - - - - +** +** Test eraRxr function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraRxr, vvd +** +** This revision: 2013 August 7 +*/ +{ + double a[3][3], b[3][3], atb[3][3]; + + + a[0][0] = 2.0; + a[0][1] = 3.0; + a[0][2] = 2.0; + + a[1][0] = 3.0; + a[1][1] = 2.0; + a[1][2] = 3.0; + + a[2][0] = 3.0; + a[2][1] = 4.0; + a[2][2] = 5.0; + + b[0][0] = 1.0; + b[0][1] = 2.0; + b[0][2] = 2.0; + + b[1][0] = 4.0; + b[1][1] = 1.0; + b[1][2] = 1.0; + + b[2][0] = 3.0; + b[2][1] = 0.0; + b[2][2] = 1.0; + + eraRxr(a, b, atb); + + vvd(atb[0][0], 20.0, 1e-12, "eraRxr", "11", status); + vvd(atb[0][1], 7.0, 1e-12, "eraRxr", "12", status); + vvd(atb[0][2], 9.0, 1e-12, "eraRxr", "13", status); + + vvd(atb[1][0], 20.0, 1e-12, "eraRxr", "21", status); + vvd(atb[1][1], 8.0, 1e-12, "eraRxr", "22", status); + vvd(atb[1][2], 11.0, 1e-12, "eraRxr", "23", status); + + vvd(atb[2][0], 34.0, 1e-12, "eraRxr", "31", status); + vvd(atb[2][1], 10.0, 1e-12, "eraRxr", "32", status); + vvd(atb[2][2], 15.0, 1e-12, "eraRxr", "33", status); + +} + +static void t_ry(int *status) +/* +** - - - - - +** t _ r y +** - - - - - +** +** Test eraRy function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraRy, vvd +** +** This revision: 2013 August 7 +*/ +{ + double theta, r[3][3]; + + + theta = 0.3456789; + + r[0][0] = 2.0; + r[0][1] = 3.0; + r[0][2] = 2.0; + + r[1][0] = 3.0; + r[1][1] = 2.0; + r[1][2] = 3.0; + + r[2][0] = 3.0; + r[2][1] = 4.0; + r[2][2] = 5.0; + + eraRy(theta, r); + + vvd(r[0][0], 0.8651847818978159930, 1e-12, "eraRy", "11", status); + vvd(r[0][1], 1.467194920539316554, 1e-12, "eraRy", "12", status); + vvd(r[0][2], 0.1875137911274457342, 1e-12, "eraRy", "13", status); + + vvd(r[1][0], 3, 1e-12, "eraRy", "21", status); + vvd(r[1][1], 2, 1e-12, "eraRy", "22", status); + vvd(r[1][2], 3, 1e-12, "eraRy", "23", status); + + vvd(r[2][0], 3.500207892850427330, 1e-12, "eraRy", "31", status); + vvd(r[2][1], 4.779889022262298150, 1e-12, "eraRy", "32", status); + vvd(r[2][2], 5.381899160903798712, 1e-12, "eraRy", "33", status); + +} + +static void t_rz(int *status) +/* +** - - - - - +** t _ r z +** - - - - - +** +** Test eraRz function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraRz, vvd +** +** This revision: 2013 August 7 +*/ +{ + double psi, r[3][3]; + + + psi = 0.3456789; + + r[0][0] = 2.0; + r[0][1] = 3.0; + r[0][2] = 2.0; + + r[1][0] = 3.0; + r[1][1] = 2.0; + r[1][2] = 3.0; + + r[2][0] = 3.0; + r[2][1] = 4.0; + r[2][2] = 5.0; + + eraRz(psi, r); + + vvd(r[0][0], 2.898197754208926769, 1e-12, "eraRz", "11", status); + vvd(r[0][1], 3.500207892850427330, 1e-12, "eraRz", "12", status); + vvd(r[0][2], 2.898197754208926769, 1e-12, "eraRz", "13", status); + + vvd(r[1][0], 2.144865911309686813, 1e-12, "eraRz", "21", status); + vvd(r[1][1], 0.865184781897815993, 1e-12, "eraRz", "22", status); + vvd(r[1][2], 2.144865911309686813, 1e-12, "eraRz", "23", status); + + vvd(r[2][0], 3.0, 1e-12, "eraRz", "31", status); + vvd(r[2][1], 4.0, 1e-12, "eraRz", "32", status); + vvd(r[2][2], 5.0, 1e-12, "eraRz", "33", status); + +} + +static void t_s00a(int *status) +/* +** - - - - - - - +** t _ s 0 0 a +** - - - - - - - +** +** Test eraS00a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraS00a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double s; + + + s = eraS00a(2400000.5, 52541.0); + + vvd(s, -0.1340684448919163584e-7, 1e-18, "eraS00a", "", status); + +} + +static void t_s00b(int *status) +/* +** - - - - - - - +** t _ s 0 0 b +** - - - - - - - +** +** Test eraS00b function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraS00b, vvd +** +** This revision: 2013 August 7 +*/ +{ + double s; + + + s = eraS00b(2400000.5, 52541.0); + + vvd(s, -0.1340695782951026584e-7, 1e-18, "eraS00b", "", status); + +} + +static void t_s00(int *status) +/* +** - - - - - - +** t _ s 0 0 +** - - - - - - +** +** Test eraS00 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraS00, vvd +** +** This revision: 2013 August 7 +*/ +{ + double x, y, s; + + + x = 0.5791308486706011000e-3; + y = 0.4020579816732961219e-4; + + s = eraS00(2400000.5, 53736.0, x, y); + + vvd(s, -0.1220036263270905693e-7, 1e-18, "eraS00", "", status); + +} + +static void t_s06a(int *status) +/* +** - - - - - - - +** t _ s 0 6 a +** - - - - - - - +** +** Test eraS06a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraS06a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double s; + + + s = eraS06a(2400000.5, 52541.0); + + vvd(s, -0.1340680437291812383e-7, 1e-18, "eraS06a", "", status); + +} + +static void t_s06(int *status) +/* +** - - - - - - +** t _ s 0 6 +** - - - - - - +** +** Test eraS06 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraS06, vvd +** +** This revision: 2013 August 7 +*/ +{ + double x, y, s; + + + x = 0.5791308486706011000e-3; + y = 0.4020579816732961219e-4; + + s = eraS06(2400000.5, 53736.0, x, y); + + vvd(s, -0.1220032213076463117e-7, 1e-18, "eraS06", "", status); + +} + +static void t_s2c(int *status) +/* +** - - - - - - +** t _ s 2 c +** - - - - - - +** +** Test eraS2c function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraS2c, vvd +** +** This revision: 2013 August 7 +*/ +{ + double c[3]; + + + eraS2c(3.0123, -0.999, c); + + vvd(c[0], -0.5366267667260523906, 1e-12, "eraS2c", "1", status); + vvd(c[1], 0.0697711109765145365, 1e-12, "eraS2c", "2", status); + vvd(c[2], -0.8409302618566214041, 1e-12, "eraS2c", "3", status); + +} + +static void t_s2p(int *status) +/* +** - - - - - - +** t _ s 2 p +** - - - - - - +** +** Test eraS2p function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraS2p, vvd +** +** This revision: 2013 August 7 +*/ +{ + double p[3]; + + + eraS2p(-3.21, 0.123, 0.456, p); + + vvd(p[0], -0.4514964673880165228, 1e-12, "eraS2p", "x", status); + vvd(p[1], 0.0309339427734258688, 1e-12, "eraS2p", "y", status); + vvd(p[2], 0.0559466810510877933, 1e-12, "eraS2p", "z", status); + +} + +static void t_s2pv(int *status) +/* +** - - - - - - - +** t _ s 2 p v +** - - - - - - - +** +** Test eraS2pv function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraS2pv, vvd +** +** This revision: 2013 August 7 +*/ +{ + double pv[2][3]; + + + eraS2pv(-3.21, 0.123, 0.456, -7.8e-6, 9.01e-6, -1.23e-5, pv); + + vvd(pv[0][0], -0.4514964673880165228, 1e-12, "eraS2pv", "x", status); + vvd(pv[0][1], 0.0309339427734258688, 1e-12, "eraS2pv", "y", status); + vvd(pv[0][2], 0.0559466810510877933, 1e-12, "eraS2pv", "z", status); + + vvd(pv[1][0], 0.1292270850663260170e-4, 1e-16, + "eraS2pv", "vx", status); + vvd(pv[1][1], 0.2652814182060691422e-5, 1e-16, + "eraS2pv", "vy", status); + vvd(pv[1][2], 0.2568431853930292259e-5, 1e-16, + "eraS2pv", "vz", status); + +} + +static void t_s2xpv(int *status) +/* +** - - - - - - - - +** t _ s 2 x p v +** - - - - - - - - +** +** Test eraS2xpv function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraS2xpv, vvd +** +** This revision: 2013 August 7 +*/ +{ + double s1, s2, pv[2][3], spv[2][3]; + + + s1 = 2.0; + s2 = 3.0; + + pv[0][0] = 0.3; + pv[0][1] = 1.2; + pv[0][2] = -2.5; + + pv[1][0] = 0.5; + pv[1][1] = 2.3; + pv[1][2] = -0.4; + + eraS2xpv(s1, s2, pv, spv); + + vvd(spv[0][0], 0.6, 1e-12, "eraS2xpv", "p1", status); + vvd(spv[0][1], 2.4, 1e-12, "eraS2xpv", "p2", status); + vvd(spv[0][2], -5.0, 1e-12, "eraS2xpv", "p3", status); + + vvd(spv[1][0], 1.5, 1e-12, "eraS2xpv", "v1", status); + vvd(spv[1][1], 6.9, 1e-12, "eraS2xpv", "v2", status); + vvd(spv[1][2], -1.2, 1e-12, "eraS2xpv", "v3", status); + +} + +static void t_sepp(int *status) +/* +** - - - - - - - +** t _ s e p p +** - - - - - - - +** +** Test eraSepp function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraSepp, vvd +** +** This revision: 2013 August 7 +*/ +{ + double a[3], b[3], s; + + + a[0] = 1.0; + a[1] = 0.1; + a[2] = 0.2; + + b[0] = -3.0; + b[1] = 1e-3; + b[2] = 0.2; + + s = eraSepp(a, b); + + vvd(s, 2.860391919024660768, 1e-12, "eraSepp", "", status); + +} + +static void t_seps(int *status) +/* +** - - - - - - - +** t _ s e p s +** - - - - - - - +** +** Test eraSeps function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraSeps, vvd +** +** This revision: 2013 August 7 +*/ +{ + double al, ap, bl, bp, s; + + + al = 1.0; + ap = 0.1; + + bl = 0.2; + bp = -3.0; + + s = eraSeps(al, ap, bl, bp); + + vvd(s, 2.346722016996998842, 1e-14, "eraSeps", "", status); + +} + +static void t_sp00(int *status) +/* +** - - - - - - - +** t _ s p 0 0 +** - - - - - - - +** +** Test eraSp00 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraSp00, vvd +** +** This revision: 2013 August 7 +*/ +{ + vvd(eraSp00(2400000.5, 52541.0), + -0.6216698469981019309e-11, 1e-12, "eraSp00", "", status); + +} + +static void t_starpm(int *status) +/* +** - - - - - - - - - +** t _ s t a r p m +** - - - - - - - - - +** +** Test eraStarpm function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraStarpm, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double ra1, dec1, pmr1, pmd1, px1, rv1; + double ra2, dec2, pmr2, pmd2, px2, rv2; + int j; + + + ra1 = 0.01686756; + dec1 = -1.093989828; + pmr1 = -1.78323516e-5; + pmd1 = 2.336024047e-6; + px1 = 0.74723; + rv1 = -21.6; + + j = eraStarpm(ra1, dec1, pmr1, pmd1, px1, rv1, + 2400000.5, 50083.0, 2400000.5, 53736.0, + &ra2, &dec2, &pmr2, &pmd2, &px2, &rv2); + + vvd(ra2, 0.01668919069414242368, 1e-13, + "eraStarpm", "ra", status); + vvd(dec2, -1.093966454217127879, 1e-13, + "eraStarpm", "dec", status); + vvd(pmr2, -0.1783662682155932702e-4, 1e-17, + "eraStarpm", "pmr", status); + vvd(pmd2, 0.2338092915987603664e-5, 1e-17, + "eraStarpm", "pmd", status); + vvd(px2, 0.7473533835323493644, 1e-13, + "eraStarpm", "px", status); + vvd(rv2, -21.59905170476860786, 1e-11, + "eraStarpm", "rv", status); + + viv(j, 0, "eraStarpm", "j", status); + +} + +static void t_starpv(int *status) +/* +** - - - - - - - - - +** t _ s t a r p v +** - - - - - - - - - +** +** Test eraStarpv function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraStarpv, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double ra, dec, pmr, pmd, px, rv, pv[2][3]; + int j; + + + ra = 0.01686756; + dec = -1.093989828; + pmr = -1.78323516e-5; + pmd = 2.336024047e-6; + px = 0.74723; + rv = -21.6; + + j = eraStarpv(ra, dec, pmr, pmd, px, rv, pv); + + vvd(pv[0][0], 126668.5912743160601, 1e-10, + "eraStarpv", "11", status); + vvd(pv[0][1], 2136.792716839935195, 1e-12, + "eraStarpv", "12", status); + vvd(pv[0][2], -245251.2339876830091, 1e-10, + "eraStarpv", "13", status); + + vvd(pv[1][0], -0.4051854035740712739e-2, 1e-13, + "eraStarpv", "21", status); + vvd(pv[1][1], -0.6253919754866173866e-2, 1e-15, + "eraStarpv", "22", status); + vvd(pv[1][2], 0.1189353719774107189e-1, 1e-13, + "eraStarpv", "23", status); + + viv(j, 0, "eraStarpv", "j", status); + +} + +static void t_sxp(int *status) +/* +** - - - - - - +** t _ s x p +** - - - - - - +** +** Test eraSxp function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraSxp, vvd +** +** This revision: 2013 August 7 +*/ +{ + double s, p[3], sp[3]; + + + s = 2.0; + + p[0] = 0.3; + p[1] = 1.2; + p[2] = -2.5; + + eraSxp(s, p, sp); + + vvd(sp[0], 0.6, 0.0, "eraSxp", "1", status); + vvd(sp[1], 2.4, 0.0, "eraSxp", "2", status); + vvd(sp[2], -5.0, 0.0, "eraSxp", "3", status); + +} + + +static void t_sxpv(int *status) +/* +** - - - - - - - +** t _ s x p v +** - - - - - - - +** +** Test eraSxpv function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraSxpv, vvd +** +** This revision: 2013 August 7 +*/ +{ + double s, pv[2][3], spv[2][3]; + + + s = 2.0; + + pv[0][0] = 0.3; + pv[0][1] = 1.2; + pv[0][2] = -2.5; + + pv[1][0] = 0.5; + pv[1][1] = 3.2; + pv[1][2] = -0.7; + + eraSxpv(s, pv, spv); + + vvd(spv[0][0], 0.6, 0.0, "eraSxpv", "p1", status); + vvd(spv[0][1], 2.4, 0.0, "eraSxpv", "p2", status); + vvd(spv[0][2], -5.0, 0.0, "eraSxpv", "p3", status); + + vvd(spv[1][0], 1.0, 0.0, "eraSxpv", "v1", status); + vvd(spv[1][1], 6.4, 0.0, "eraSxpv", "v2", status); + vvd(spv[1][2], -1.4, 0.0, "eraSxpv", "v3", status); + +} + +static void t_taitt(int *status) +/* +** - - - - - - - - +** t _ t a i t t +** - - - - - - - - +** +** Test eraTaitt function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTaitt, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double t1, t2; + int j; + + + j = eraTaitt(2453750.5, 0.892482639, &t1, &t2); + + vvd(t1, 2453750.5, 1e-6, "eraTaitt", "t1", status); + vvd(t2, 0.892855139, 1e-12, "eraTaitt", "t2", status); + viv(j, 0, "eraTaitt", "j", status); + +} + +static void t_taiut1(int *status) +/* +** - - - - - - - - - +** t _ t a i u t 1 +** - - - - - - - - - +** +** Test eraTaiut1 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTaiut1, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double u1, u2; + int j; + + + j = eraTaiut1(2453750.5, 0.892482639, -32.6659, &u1, &u2); + + vvd(u1, 2453750.5, 1e-6, "eraTaiut1", "u1", status); + vvd(u2, 0.8921045614537037037, 1e-12, "eraTaiut1", "u2", status); + viv(j, 0, "eraTaiut1", "j", status); + +} + +static void t_taiutc(int *status) +/* +** - - - - - - - - - +** t _ t a i u t c +** - - - - - - - - - +** +** Test eraTaiutc function. +** +** Returned: +** status LOGICAL TRUE = success, FALSE = fail +** +** Called: eraTaiutc, vvd, viv +** +** This revision: 2013 October 3 +*/ +{ + double u1, u2; + int j; + + + j = eraTaiutc(2453750.5, 0.892482639, &u1, &u2); + + vvd(u1, 2453750.5, 1e-6, "eraTaiutc", "u1", status); + vvd(u2, 0.8921006945555555556, 1e-12, "eraTaiutc", "u2", status); + viv(j, 0, "eraTaiutc", "j", status); + +} + +static void t_tcbtdb(int *status) +/* +** - - - - - - - - - +** t _ t c b t d b +** - - - - - - - - - +** +** Test eraTcbtdb function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTcbtdb, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double b1, b2; + int j; + + + j = eraTcbtdb(2453750.5, 0.893019599, &b1, &b2); + + vvd(b1, 2453750.5, 1e-6, "eraTcbtdb", "b1", status); + vvd(b2, 0.8928551362746343397, 1e-12, "eraTcbtdb", "b2", status); + viv(j, 0, "eraTcbtdb", "j", status); + +} + +static void t_tcgtt(int *status) +/* +** - - - - - - - - +** t _ t c g t t +** - - - - - - - - +** +** Test eraTcgtt function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTcgtt, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double t1, t2; + int j; + + + j = eraTcgtt(2453750.5, 0.892862531, &t1, &t2); + + vvd(t1, 2453750.5, 1e-6, "eraTcgtt", "t1", status); + vvd(t2, 0.8928551387488816828, 1e-12, "eraTcgtt", "t2", status); + viv(j, 0, "eraTcgtt", "j", status); + +} + +static void t_tdbtcb(int *status) +/* +** - - - - - - - - - +** t _ t d b t c b +** - - - - - - - - - +** +** Test eraTdbtcb function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTdbtcb, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double b1, b2; + int j; + + + j = eraTdbtcb(2453750.5, 0.892855137, &b1, &b2); + + vvd( b1, 2453750.5, 1e-6, "eraTdbtcb", "b1", status); + vvd( b2, 0.8930195997253656716, 1e-12, "eraTdbtcb", "b2", status); + viv(j, 0, "eraTdbtcb", "j", status); + +} + +static void t_tdbtt(int *status) +/* +** - - - - - - - - +** t _ t d b t t +** - - - - - - - - +** +** Test eraTdbtt function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTdbtt, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double t1, t2; + int j; + + + j = eraTdbtt(2453750.5, 0.892855137, -0.000201, &t1, &t2); + + vvd(t1, 2453750.5, 1e-6, "eraTdbtt", "t1", status); + vvd(t2, 0.8928551393263888889, 1e-12, "eraTdbtt", "t2", status); + viv(j, 0, "eraTdbtt", "j", status); + +} + +static void t_tf2a(int *status) +/* +** - - - - - - - +** t _ t f 2 a +** - - - - - - - +** +** Test eraTf2a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTf2a, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double a; + int j; + + + j = eraTf2a('+', 4, 58, 20.2, &a); + + vvd(a, 1.301739278189537429, 1e-12, "eraTf2a", "a", status); + viv(j, 0, "eraTf2a", "j", status); + +} + +static void t_tf2d(int *status) +/* +** - - - - - - - +** t _ t f 2 d +** - - - - - - - +** +** Test eraTf2d function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTf2d, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double d; + int j; + + + j = eraTf2d(' ', 23, 55, 10.9, &d); + + vvd(d, 0.9966539351851851852, 1e-12, "eraTf2d", "d", status); + viv(j, 0, "eraTf2d", "j", status); + +} + +static void t_tr(int *status) +/* +** - - - - - +** t _ t r +** - - - - - +** +** Test eraTr function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTr, vvd +** +** This revision: 2013 August 7 +*/ +{ + double r[3][3], rt[3][3]; + + + r[0][0] = 2.0; + r[0][1] = 3.0; + r[0][2] = 2.0; + + r[1][0] = 3.0; + r[1][1] = 2.0; + r[1][2] = 3.0; + + r[2][0] = 3.0; + r[2][1] = 4.0; + r[2][2] = 5.0; + + eraTr(r, rt); + + vvd(rt[0][0], 2.0, 0.0, "eraTr", "11", status); + vvd(rt[0][1], 3.0, 0.0, "eraTr", "12", status); + vvd(rt[0][2], 3.0, 0.0, "eraTr", "13", status); + + vvd(rt[1][0], 3.0, 0.0, "eraTr", "21", status); + vvd(rt[1][1], 2.0, 0.0, "eraTr", "22", status); + vvd(rt[1][2], 4.0, 0.0, "eraTr", "23", status); + + vvd(rt[2][0], 2.0, 0.0, "eraTr", "31", status); + vvd(rt[2][1], 3.0, 0.0, "eraTr", "32", status); + vvd(rt[2][2], 5.0, 0.0, "eraTr", "33", status); + +} + +static void t_trxp(int *status) +/* +** - - - - - - - +** t _ t r x p +** - - - - - - - +** +** Test eraTrxp function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTrxp, vvd +** +** This revision: 2013 August 7 +*/ +{ + double r[3][3], p[3], trp[3]; + + + r[0][0] = 2.0; + r[0][1] = 3.0; + r[0][2] = 2.0; + + r[1][0] = 3.0; + r[1][1] = 2.0; + r[1][2] = 3.0; + + r[2][0] = 3.0; + r[2][1] = 4.0; + r[2][2] = 5.0; + + p[0] = 0.2; + p[1] = 1.5; + p[2] = 0.1; + + eraTrxp(r, p, trp); + + vvd(trp[0], 5.2, 1e-12, "eraTrxp", "1", status); + vvd(trp[1], 4.0, 1e-12, "eraTrxp", "2", status); + vvd(trp[2], 5.4, 1e-12, "eraTrxp", "3", status); + +} + +static void t_trxpv(int *status) +/* +** - - - - - - - - +** t _ t r x p v +** - - - - - - - - +** +** Test eraTrxpv function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTrxpv, vvd +** +** This revision: 2013 August 7 +*/ +{ + double r[3][3], pv[2][3], trpv[2][3]; + + + r[0][0] = 2.0; + r[0][1] = 3.0; + r[0][2] = 2.0; + + r[1][0] = 3.0; + r[1][1] = 2.0; + r[1][2] = 3.0; + + r[2][0] = 3.0; + r[2][1] = 4.0; + r[2][2] = 5.0; + + pv[0][0] = 0.2; + pv[0][1] = 1.5; + pv[0][2] = 0.1; + + pv[1][0] = 1.5; + pv[1][1] = 0.2; + pv[1][2] = 0.1; + + eraTrxpv(r, pv, trpv); + + vvd(trpv[0][0], 5.2, 1e-12, "eraTrxpv", "p1", status); + vvd(trpv[0][1], 4.0, 1e-12, "eraTrxpv", "p1", status); + vvd(trpv[0][2], 5.4, 1e-12, "eraTrxpv", "p1", status); + + vvd(trpv[1][0], 3.9, 1e-12, "eraTrxpv", "v1", status); + vvd(trpv[1][1], 5.3, 1e-12, "eraTrxpv", "v2", status); + vvd(trpv[1][2], 4.1, 1e-12, "eraTrxpv", "v3", status); + +} + +static void t_tttai(int *status) +/* +** - - - - - - - - +** t _ t t t a i +** - - - - - - - - +** +** Test eraTttai function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTttai, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double a1, a2; + int j; + + + j = eraTttai(2453750.5, 0.892482639, &a1, &a2); + + vvd(a1, 2453750.5, 1e-6, "eraTttai", "a1", status); + vvd(a2, 0.892110139, 1e-12, "eraTttai", "a2", status); + viv(j, 0, "eraTttai", "j", status); + +} + +static void t_tttcg(int *status) +/* +** - - - - - - - - +** t _ t t t c g +** - - - - - - - - +** +** Test eraTttcg function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTttcg, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double g1, g2; + int j; + + + j = eraTttcg(2453750.5, 0.892482639, &g1, &g2); + + vvd( g1, 2453750.5, 1e-6, "eraTttcg", "g1", status); + vvd( g2, 0.8924900312508587113, 1e-12, "eraTttcg", "g2", status); + viv(j, 0, "eraTttcg", "j", status); + +} + +static void t_tttdb(int *status) +/* +** - - - - - - - - +** t _ t t t d b +** - - - - - - - - +** +** Test eraTttdb function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTttdb, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double b1, b2; + int j; + + + j = eraTttdb(2453750.5, 0.892855139, -0.000201, &b1, &b2); + + vvd(b1, 2453750.5, 1e-6, "eraTttdb", "b1", status); + vvd(b2, 0.8928551366736111111, 1e-12, "eraTttdb", "b2", status); + viv(j, 0, "eraTttdb", "j", status); + +} + +static void t_ttut1(int *status) +/* +** - - - - - - - - +** t _ t t u t 1 +** - - - - - - - - +** +** Test eraTtut1 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraTtut1, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double u1, u2; + int j; + + + j = eraTtut1(2453750.5, 0.892855139, 64.8499, &u1, &u2); + + vvd(u1, 2453750.5, 1e-6, "eraTtut1", "u1", status); + vvd(u2, 0.8921045614537037037, 1e-12, "eraTtut1", "u2", status); + viv(j, 0, "eraTtut1", "j", status); + +} + +static void t_ut1tai(int *status) +/* +** - - - - - - - - - +** t _ u t 1 t a i +** - - - - - - - - - +** +** Test eraUt1tai function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraUt1tai, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double a1, a2; + int j; + + + j = eraUt1tai(2453750.5, 0.892104561, -32.6659, &a1, &a2); + + vvd(a1, 2453750.5, 1e-6, "eraUt1tai", "a1", status); + vvd(a2, 0.8924826385462962963, 1e-12, "eraUt1tai", "a2", status); + viv(j, 0, "eraUt1tai", "j", status); + +} + +static void t_ut1tt(int *status) +/* +** - - - - - - - - +** t _ u t 1 t t +** - - - - - - - - +** +** Test eraUt1tt function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraUt1tt, vvd, viv +** +** This revision: 2013 October 3 +*/ +{ + double t1, t2; + int j; + + + j = eraUt1tt(2453750.5, 0.892104561, 64.8499, &t1, &t2); + + vvd(t1, 2453750.5, 1e-6, "eraUt1tt", "t1", status); + vvd(t2, 0.8928551385462962963, 1e-12, "eraUt1tt", "t2", status); + viv(j, 0, "eraUt1tt", "j", status); + +} + +static void t_ut1utc(int *status) +/* +** - - - - - - - - - +** t _ u t 1 u t c +** - - - - - - - - - +** +** Test eraUt1utc function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraUt1utc, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double u1, u2; + int j; + + + j = eraUt1utc(2453750.5, 0.892104561, 0.3341, &u1, &u2); + + vvd(u1, 2453750.5, 1e-6, "eraUt1utc", "u1", status); + vvd(u2, 0.8921006941018518519, 1e-12, "eraUt1utc", "u2", status); + viv(j, 0, "eraUt1utc", "j", status); + +} + +static void t_utctai(int *status) +/* +** - - - - - - - - - +** t _ u t c t a i +** - - - - - - - - - +** +** Test eraUtctai function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraUtctai, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double u1, u2; + int j; + + + j = eraUtctai(2453750.5, 0.892100694, &u1, &u2); + + vvd(u1, 2453750.5, 1e-6, "eraUtctai", "u1", status); + vvd(u2, 0.8924826384444444444, 1e-12, "eraUtctai", "u2", status); + viv(j, 0, "eraUtctai", "j", status); + +} + +static void t_utcut1(int *status) +/* +** - - - - - - - - - +** t _ u t c u t 1 +** - - - - - - - - - +** +** Test eraUtcut1 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraUtcut1, vvd, viv +** +** This revision: 2013 August 7 +*/ +{ + double u1, u2; + int j; + + + j = eraUtcut1(2453750.5, 0.892100694, 0.3341, &u1, &u2); + + vvd(u1, 2453750.5, 1e-6, "eraUtcut1", "u1", status); + vvd(u2, 0.8921045608981481481, 1e-12, "eraUtcut1", "u2", status); + viv(j, 0, "eraUtcut1", "j", status); + +} + +static void t_xy06(int *status) +/* +** - - - - - - - +** t _ x y 0 6 +** - - - - - - - +** +** Test eraXy06 function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraXy06, vvd +** +** This revision: 2013 August 7 +*/ +{ + double x, y; + + + eraXy06(2400000.5, 53736.0, &x, &y); + + vvd(x, 0.5791308486706010975e-3, 1e-15, "eraXy06", "x", status); + vvd(y, 0.4020579816732958141e-4, 1e-16, "eraXy06", "y", status); + +} + +static void t_xys00a(int *status) +/* +** - - - - - - - - - +** t _ x y s 0 0 a +** - - - - - - - - - +** +** Test eraXys00a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraXys00a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double x, y, s; + + + eraXys00a(2400000.5, 53736.0, &x, &y, &s); + + vvd(x, 0.5791308472168152904e-3, 1e-14, "eraXys00a", "x", status); + vvd(y, 0.4020595661591500259e-4, 1e-15, "eraXys00a", "y", status); + vvd(s, -0.1220040848471549623e-7, 1e-18, "eraXys00a", "s", status); + +} + +static void t_xys00b(int *status) +/* +** - - - - - - - - - +** t _ x y s 0 0 b +** - - - - - - - - - +** +** Test eraXys00b function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraXys00b, vvd +** +** This revision: 2013 August 7 +*/ +{ + double x, y, s; + + + eraXys00b(2400000.5, 53736.0, &x, &y, &s); + + vvd(x, 0.5791301929950208873e-3, 1e-14, "eraXys00b", "x", status); + vvd(y, 0.4020553681373720832e-4, 1e-15, "eraXys00b", "y", status); + vvd(s, -0.1220027377285083189e-7, 1e-18, "eraXys00b", "s", status); + +} + +static void t_xys06a(int *status) +/* +** - - - - - - - - - +** t _ x y s 0 6 a +** - - - - - - - - - +** +** Test eraXys06a function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraXys06a, vvd +** +** This revision: 2013 August 7 +*/ +{ + double x, y, s; + + + eraXys06a(2400000.5, 53736.0, &x, &y, &s); + + vvd(x, 0.5791308482835292617e-3, 1e-14, "eraXys06a", "x", status); + vvd(y, 0.4020580099454020310e-4, 1e-15, "eraXys06a", "y", status); + vvd(s, -0.1220032294164579896e-7, 1e-18, "eraXys06a", "s", status); + +} + +static void t_zp(int *status) +/* +** - - - - - +** t _ z p +** - - - - - +** +** Test eraZp function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraZp, vvd +** +** This revision: 2013 August 7 +*/ +{ + double p[3]; + + + p[0] = 0.3; + p[1] = 1.2; + p[2] = -2.5; + + eraZp(p); + + vvd(p[0], 0.0, 0.0, "eraZp", "1", status); + vvd(p[1], 0.0, 0.0, "eraZp", "2", status); + vvd(p[2], 0.0, 0.0, "eraZp", "3", status); + +} + +static void t_zpv(int *status) +/* +** - - - - - - +** t _ z p v +** - - - - - - +** +** Test eraZpv function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraZpv, vvd +** +** This revision: 2013 August 7 +*/ +{ + double pv[2][3]; + + + pv[0][0] = 0.3; + pv[0][1] = 1.2; + pv[0][2] = -2.5; + + pv[1][0] = -0.5; + pv[1][1] = 3.1; + pv[1][2] = 0.9; + + eraZpv(pv); + + vvd(pv[0][0], 0.0, 0.0, "eraZpv", "p1", status); + vvd(pv[0][1], 0.0, 0.0, "eraZpv", "p2", status); + vvd(pv[0][2], 0.0, 0.0, "eraZpv", "p3", status); + + vvd(pv[1][0], 0.0, 0.0, "eraZpv", "v1", status); + vvd(pv[1][1], 0.0, 0.0, "eraZpv", "v2", status); + vvd(pv[1][2], 0.0, 0.0, "eraZpv", "v3", status); + +} + +static void t_zr(int *status) +/* +** - - - - - +** t _ z r +** - - - - - +** +** Test eraZr function. +** +** Returned: +** status int FALSE = success, TRUE = fail +** +** Called: eraZr, vvd +** +** This revision: 2013 August 7 +*/ +{ + double r[3][3]; + + + r[0][0] = 2.0; + r[1][0] = 3.0; + r[2][0] = 2.0; + + r[0][1] = 3.0; + r[1][1] = 2.0; + r[2][1] = 3.0; + + r[0][2] = 3.0; + r[1][2] = 4.0; + r[2][2] = 5.0; + + eraZr(r); + + vvd(r[0][0], 0.0, 0.0, "eraZr", "00", status); + vvd(r[1][0], 0.0, 0.0, "eraZr", "01", status); + vvd(r[2][0], 0.0, 0.0, "eraZr", "02", status); + + vvd(r[0][1], 0.0, 0.0, "eraZr", "10", status); + vvd(r[1][1], 0.0, 0.0, "eraZr", "11", status); + vvd(r[2][1], 0.0, 0.0, "eraZr", "12", status); + + vvd(r[0][2], 0.0, 0.0, "eraZr", "20", status); + vvd(r[1][2], 0.0, 0.0, "eraZr", "21", status); + vvd(r[2][2], 0.0, 0.0, "eraZr", "22", status); + +} + +int main(int argc, char *argv[]) +/* +** - - - - - +** m a i n +** - - - - - +** +** This revision: 2013 October 3 +*/ +{ + int status; + + +/* If any command-line argument, switch to verbose reporting. */ + if (argc > 1) { + verbose = 1; + argv[0][0] += 0; /* to avoid compiler warnings */ + } + +/* Preset the &status to FALSE = success. */ + status = 0; + +/* Test all of the ERFA functions. */ + t_a2af(&status); + t_a2tf(&status); + t_ab(&status); + t_af2a(&status); + t_anp(&status); + t_anpm(&status); + t_apcg(&status); + t_apcg13(&status); + t_apci(&status); + t_apci13(&status); + t_apco(&status); + t_apco13(&status); + t_apcs(&status); + t_apcs13(&status); + t_aper(&status); + t_aper13(&status); + t_apio(&status); + t_apio13(&status); + t_atci13(&status); + t_atciq(&status); + t_atciqn(&status); + t_atciqz(&status); + t_atco13(&status); + t_atic13(&status); + t_aticq(&status); + t_aticqn(&status); + t_atio13(&status); + t_atioq(&status); + t_atoc13(&status); + t_atoi13(&status); + t_atoiq(&status); + t_bi00(&status); + t_bp00(&status); + t_bp06(&status); + t_bpn2xy(&status); + t_c2i00a(&status); + t_c2i00b(&status); + t_c2i06a(&status); + t_c2ibpn(&status); + t_c2ixy(&status); + t_c2ixys(&status); + t_c2s(&status); + t_c2t00a(&status); + t_c2t00b(&status); + t_c2t06a(&status); + t_c2tcio(&status); + t_c2teqx(&status); + t_c2tpe(&status); + t_c2txy(&status); + t_cal2jd(&status); + t_cp(&status); + t_cpv(&status); + t_cr(&status); + t_d2dtf(&status); + t_d2tf(&status); + t_dat(&status); + t_dtdb(&status); + t_dtf2d(&status); + t_ee00(&status); + t_ee00a(&status); + t_ee00b(&status); + t_ee06a(&status); + t_eect00(&status); + t_eform(&status); + t_eo06a(&status); + t_eors(&status); + t_epb(&status); + t_epb2jd(&status); + t_epj(&status); + t_epj2jd(&status); + t_epv00(&status); + t_eqeq94(&status); + t_era00(&status); + t_fad03(&status); + t_fae03(&status); + t_faf03(&status); + t_faju03(&status); + t_fal03(&status); + t_falp03(&status); + t_fama03(&status); + t_fame03(&status); + t_fane03(&status); + t_faom03(&status); + t_fapa03(&status); + t_fasa03(&status); + t_faur03(&status); + t_fave03(&status); + t_fk52h(&status); + t_fk5hip(&status); + t_fk5hz(&status); + t_fw2m(&status); + t_fw2xy(&status); + t_gc2gd(&status); + t_gc2gde(&status); + t_gd2gc(&status); + t_gd2gce(&status); + t_gmst00(&status); + t_gmst06(&status); + t_gmst82(&status); + t_gst00a(&status); + t_gst00b(&status); + t_gst06(&status); + t_gst06a(&status); + t_gst94(&status); + t_h2fk5(&status); + t_hfk5z(&status); + t_ir(&status); + t_jd2cal(&status); + t_jdcalf(&status); + t_ld(&status); + t_ldn(&status); + t_ldsun(&status); + t_num00a(&status); + t_num00b(&status); + t_num06a(&status); + t_numat(&status); + t_nut00a(&status); + t_nut00b(&status); + t_nut06a(&status); + t_nut80(&status); + t_nutm80(&status); + t_obl06(&status); + t_obl80(&status); + t_p06e(&status); + t_p2pv(&status); + t_p2s(&status); + t_pap(&status); + t_pas(&status); + t_pb06(&status); + t_pdp(&status); + t_pfw06(&status); + t_plan94(&status); + t_pmat00(&status); + t_pmat06(&status); + t_pmat76(&status); + t_pm(&status); + t_pmp(&status); + t_pmpx(&status); + t_pmsafe(&status); + t_pn(&status); + t_pn00(&status); + t_pn00a(&status); + t_pn00b(&status); + t_pn06a(&status); + t_pn06(&status); + t_pnm00a(&status); + t_pnm00b(&status); + t_pnm06a(&status); + t_pnm80(&status); + t_pom00(&status); + t_ppp(&status); + t_ppsp(&status); + t_pr00(&status); + t_prec76(&status); + t_pv2p(&status); + t_pv2s(&status); + t_pvdpv(&status); + t_pvm(&status); + t_pvmpv(&status); + t_pvppv(&status); + t_pvstar(&status); + t_pvtob(&status); + t_pvu(&status); + t_pvup(&status); + t_pvxpv(&status); + t_pxp(&status); + t_refco(&status); + t_rm2v(&status); + t_rv2m(&status); + t_rx(&status); + t_rxp(&status); + t_rxpv(&status); + t_rxr(&status); + t_ry(&status); + t_rz(&status); + t_s00a(&status); + t_s00b(&status); + t_s00(&status); + t_s06a(&status); + t_s06(&status); + t_s2c(&status); + t_s2p(&status); + t_s2pv(&status); + t_s2xpv(&status); + t_sepp(&status); + t_seps(&status); + t_sp00(&status); + t_starpm(&status); + t_starpv(&status); + t_sxp(&status); + t_sxpv(&status); + t_taitt(&status); + t_taiut1(&status); + t_taiutc(&status); + t_tcbtdb(&status); + t_tcgtt(&status); + t_tdbtcb(&status); + t_tdbtt(&status); + t_tf2a(&status); + t_tf2d(&status); + t_tr(&status); + t_trxp(&status); + t_trxpv(&status); + t_tttai(&status); + t_tttcg(&status); + t_tttdb(&status); + t_ttut1(&status); + t_ut1tai(&status); + t_ut1tt(&status) ; + t_ut1utc(&status); + t_utctai(&status); + t_utcut1(&status); + t_xy06(&status); + t_xys00a(&status); + t_xys00b(&status); + t_xys06a(&status); + t_zp(&status); + t_zpv(&status); + t_zr(&status); + +/* Report, set up an appropriate exit status, and finish. */ + if (status) { + printf("t_erfa_c validation failed!\n"); + } else { + printf("t_erfa_c validation successful\n"); + } + return status; +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/taitt.c b/ast/erfa/taitt.c new file mode 100644 index 0000000..fc0e1b6 --- /dev/null +++ b/ast/erfa/taitt.c @@ -0,0 +1,119 @@ +#include "erfa.h" + +int eraTaitt(double tai1, double tai2, double *tt1, double *tt2) +/* +** - - - - - - - - - +** e r a T a i t t +** - - - - - - - - - +** +** Time scale transformation: International Atomic Time, TAI, to +** Terrestrial Time, TT. +** +** Given: +** tai1,tai2 double TAI as a 2-part Julian Date +** +** Returned: +** tt1,tt2 double TT as a 2-part Julian Date +** +** Returned (function value): +** int status: 0 = OK +** +** Note: +** +** tai1+tai2 is Julian Date, apportioned in any convenient way +** between the two arguments, for example where tai1 is the Julian +** Day Number and tai2 is the fraction of a day. The returned +** tt1,tt2 follow suit. +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* TT minus TAI (days). */ + static const double dtat = ERFA_TTMTAI/ERFA_DAYSEC; + + +/* Result, safeguarding precision. */ + if ( tai1 > tai2 ) { + *tt1 = tai1; + *tt2 = tai2 + dtat; + } else { + *tt1 = tai1 + dtat; + *tt2 = tai2; + } + +/* Status (always OK). */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/taiut1.c b/ast/erfa/taiut1.c new file mode 100644 index 0000000..45fbaff --- /dev/null +++ b/ast/erfa/taiut1.c @@ -0,0 +1,120 @@ +#include "erfa.h" + +int eraTaiut1(double tai1, double tai2, double dta, + double *ut11, double *ut12) +/* +** - - - - - - - - - - +** e r a T a i u t 1 +** - - - - - - - - - - +** +** Time scale transformation: International Atomic Time, TAI, to +** Universal Time, UT1. +** +** Given: +** tai1,tai2 double TAI as a 2-part Julian Date +** dta double UT1-TAI in seconds +** +** Returned: +** ut11,ut12 double UT1 as a 2-part Julian Date +** +** Returned (function value): +** int status: 0 = OK +** +** Notes: +** +** 1) tai1+tai2 is Julian Date, apportioned in any convenient way +** between the two arguments, for example where tai1 is the Julian +** Day Number and tai2 is the fraction of a day. The returned +** UT11,UT12 follow suit. +** +** 2) The argument dta, i.e. UT1-TAI, is an observed quantity, and is +** available from IERS tabulations. +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dtad; + + +/* Result, safeguarding precision. */ + dtad = dta / ERFA_DAYSEC; + if ( tai1 > tai2 ) { + *ut11 = tai1; + *ut12 = tai2 + dtad; + } else { + *ut11 = tai1 + dtad; + *ut12 = tai2; + } + +/* Status (always OK). */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/taiutc.c b/ast/erfa/taiutc.c new file mode 100644 index 0000000..c9f6958 --- /dev/null +++ b/ast/erfa/taiutc.c @@ -0,0 +1,168 @@ +#include "erfa.h" + +int eraTaiutc(double tai1, double tai2, double *utc1, double *utc2) +/* +** - - - - - - - - - - +** e r a T a i u t c +** - - - - - - - - - - +** +** Time scale transformation: International Atomic Time, TAI, to +** Coordinated Universal Time, UTC. +** +** Given: +** tai1,tai2 double TAI as a 2-part Julian Date (Note 1) +** +** Returned: +** utc1,utc2 double UTC as a 2-part quasi Julian Date (Notes 1-3) +** +** Returned (function value): +** int status: +1 = dubious year (Note 4) +** 0 = OK +** -1 = unacceptable date +** +** Notes: +** +** 1) tai1+tai2 is Julian Date, apportioned in any convenient way +** between the two arguments, for example where tai1 is the Julian +** Day Number and tai2 is the fraction of a day. The returned utc1 +** and utc2 form an analogous pair, except that a special convention +** is used, to deal with the problem of leap seconds - see the next +** note. +** +** 2) JD cannot unambiguously represent UTC during a leap second unless +** special measures are taken. The convention in the present +** function is that the JD day represents UTC days whether the +** length is 86399, 86400 or 86401 SI seconds. In the 1960-1972 era +** there were smaller jumps (in either direction) each time the +** linear UTC(TAI) expression was changed, and these "mini-leaps" +** are also included in the ERFA convention. +** +** 3) The function eraD2dtf can be used to transform the UTC quasi-JD +** into calendar date and clock time, including UTC leap second +** handling. +** +** 4) The warning status "dubious year" flags UTCs that predate the +** introduction of the time scale or that are too far in the future +** to be trusted. See eraDat for further details. +** +** Called: +** eraUtctai UTC to TAI +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int big1; + int i, j; + double a1, a2, u1, u2, g1, g2; + + +/* Put the two parts of the TAI into big-first order. */ + big1 = ( tai1 >= tai2 ); + if ( big1 ) { + a1 = tai1; + a2 = tai2; + } else { + a1 = tai2; + a2 = tai1; + } + +/* Initial guess for UTC. */ + u1 = a1; + u2 = a2; + +/* Iterate (though in most cases just once is enough). */ + for ( i = 0; i < 3; i++ ) { + + /* Guessed UTC to TAI. */ + j = eraUtctai(u1, u2, &g1, &g2); + if ( j < 0 ) return j; + + /* Adjust guessed UTC. */ + u2 += a1 - g1; + u2 += a2 - g2; + } + +/* Return the UTC result, preserving the TAI order. */ + if ( big1 ) { + *utc1 = u1; + *utc2 = u2; + } else { + *utc1 = u2; + *utc2 = u1; + } + +/* Status. */ + return j; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/tcbtdb.c b/ast/erfa/tcbtdb.c new file mode 100644 index 0000000..2a76cf3 --- /dev/null +++ b/ast/erfa/tcbtdb.c @@ -0,0 +1,141 @@ +#include "erfa.h" + +int eraTcbtdb(double tcb1, double tcb2, double *tdb1, double *tdb2) +/* +** - - - - - - - - - - +** e r a T c b t d b +** - - - - - - - - - - +** +** Time scale transformation: Barycentric Coordinate Time, TCB, to +** Barycentric Dynamical Time, TDB. +** +** Given: +** tcb1,tcb2 double TCB as a 2-part Julian Date +** +** Returned: +** tdb1,tdb2 double TDB as a 2-part Julian Date +** +** Returned (function value): +** int status: 0 = OK +** +** Notes: +** +** 1) tcb1+tcb2 is Julian Date, apportioned in any convenient way +** between the two arguments, for example where tcb1 is the Julian +** Day Number and tcb2 is the fraction of a day. The returned +** tdb1,tdb2 follow suit. +** +** 2) The 2006 IAU General Assembly introduced a conventional linear +** transformation between TDB and TCB. This transformation +** compensates for the drift between TCB and terrestrial time TT, +** and keeps TDB approximately centered on TT. Because the +** relationship between TT and TCB depends on the adopted solar +** system ephemeris, the degree of alignment between TDB and TT over +** long intervals will vary according to which ephemeris is used. +** Former definitions of TDB attempted to avoid this problem by +** stipulating that TDB and TT should differ only by periodic +** effects. This is a good description of the nature of the +** relationship but eluded precise mathematical formulation. The +** conventional linear relationship adopted in 2006 sidestepped +** these difficulties whilst delivering a TDB that in practice was +** consistent with values before that date. +** +** 3) TDB is essentially the same as Teph, the time argument for the +** JPL solar system ephemerides. +** +** Reference: +** +** IAU 2006 Resolution B3 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* 1977 Jan 1 00:00:32.184 TT, as two-part JD */ + static const double t77td = ERFA_DJM0 + ERFA_DJM77; + static const double t77tf = ERFA_TTMTAI/ERFA_DAYSEC; + +/* TDB (days) at TAI 1977 Jan 1.0 */ + static const double tdb0 = ERFA_TDB0/ERFA_DAYSEC; + + double d; + + +/* Result, safeguarding precision. */ + if ( tcb1 > tcb2 ) { + d = tcb1 - t77td; + *tdb1 = tcb1; + *tdb2 = tcb2 + tdb0 - ( d + ( tcb2 - t77tf ) ) * ERFA_ELB; + } else { + d = tcb2 - t77td; + *tdb1 = tcb1 + tdb0 - ( d + ( tcb1 - t77tf ) ) * ERFA_ELB; + *tdb2 = tcb2; + } + +/* Status (always OK). */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/tcgtt.c b/ast/erfa/tcgtt.c new file mode 100644 index 0000000..adc0c41 --- /dev/null +++ b/ast/erfa/tcgtt.c @@ -0,0 +1,118 @@ +#include "erfa.h" + +int eraTcgtt(double tcg1, double tcg2, double *tt1, double *tt2) +/* +** - - - - - - - - - +** e r a T c g t t +** - - - - - - - - - +** +** Time scale transformation: Geocentric Coordinate Time, TCG, to +** Terrestrial Time, TT. +** +** Given: +** tcg1,tcg2 double TCG as a 2-part Julian Date +** +** Returned: +** tt1,tt2 double TT as a 2-part Julian Date +** +** Returned (function value): +** int status: 0 = OK +** +** Note: +** +** tcg1+tcg2 is Julian Date, apportioned in any convenient way +** between the two arguments, for example where tcg1 is the Julian +** Day Number and tcg22 is the fraction of a day. The returned +** tt1,tt2 follow suit. +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),. +** IERS Technical Note No. 32, BKG (2004) +** +** IAU 2000 Resolution B1.9 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* 1977 Jan 1 00:00:32.184 TT, as MJD */ + static const double t77t = ERFA_DJM77 + ERFA_TTMTAI/ERFA_DAYSEC; + + +/* Result, safeguarding precision. */ + if ( tcg1 > tcg2 ) { + *tt1 = tcg1; + *tt2 = tcg2 - ( ( tcg1 - ERFA_DJM0 ) + ( tcg2 - t77t ) ) * ERFA_ELG; + } else { + *tt1 = tcg1 - ( ( tcg2 - ERFA_DJM0 ) + ( tcg1 - t77t ) ) * ERFA_ELG; + *tt2 = tcg2; + } + +/* OK status. */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/tdbtcb.c b/ast/erfa/tdbtcb.c new file mode 100644 index 0000000..aa57f5e --- /dev/null +++ b/ast/erfa/tdbtcb.c @@ -0,0 +1,146 @@ +#include "erfa.h" + +int eraTdbtcb(double tdb1, double tdb2, double *tcb1, double *tcb2) +/* +** - - - - - - - - - - +** e r a T d b t c b +** - - - - - - - - - - +** +** Time scale transformation: Barycentric Dynamical Time, TDB, to +** Barycentric Coordinate Time, TCB. +** +** Given: +** tdb1,tdb2 double TDB as a 2-part Julian Date +** +** Returned: +** tcb1,tcb2 double TCB as a 2-part Julian Date +** +** Returned (function value): +** int status: 0 = OK +** +** Notes: +** +** 1) tdb1+tdb2 is Julian Date, apportioned in any convenient way +** between the two arguments, for example where tdb1 is the Julian +** Day Number and tdb2 is the fraction of a day. The returned +** tcb1,tcb2 follow suit. +** +** 2) The 2006 IAU General Assembly introduced a conventional linear +** transformation between TDB and TCB. This transformation +** compensates for the drift between TCB and terrestrial time TT, +** and keeps TDB approximately centered on TT. Because the +** relationship between TT and TCB depends on the adopted solar +** system ephemeris, the degree of alignment between TDB and TT over +** long intervals will vary according to which ephemeris is used. +** Former definitions of TDB attempted to avoid this problem by +** stipulating that TDB and TT should differ only by periodic +** effects. This is a good description of the nature of the +** relationship but eluded precise mathematical formulation. The +** conventional linear relationship adopted in 2006 sidestepped +** these difficulties whilst delivering a TDB that in practice was +** consistent with values before that date. +** +** 3) TDB is essentially the same as Teph, the time argument for the +** JPL solar system ephemerides. +** +** Reference: +** +** IAU 2006 Resolution B3 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* 1977 Jan 1 00:00:32.184 TT, as two-part JD */ + static const double t77td = ERFA_DJM0 + ERFA_DJM77; + static const double t77tf = ERFA_TTMTAI/ERFA_DAYSEC; + +/* TDB (days) at TAI 1977 Jan 1.0 */ + static const double tdb0 = ERFA_TDB0/ERFA_DAYSEC; + +/* TDB to TCB rate */ + static const double elbb = ERFA_ELB/(1.0-ERFA_ELB); + + double d, f; + + +/* Result, preserving date format but safeguarding precision. */ + if ( tdb1 > tdb2 ) { + d = t77td - tdb1; + f = tdb2 - tdb0; + *tcb1 = tdb1; + *tcb2 = f - ( d - ( f - t77tf ) ) * elbb; + } else { + d = t77td - tdb2; + f = tdb1 - tdb0; + *tcb1 = f + ( d - ( f - t77tf ) ) * elbb; + *tcb2 = tdb2; + } + +/* Status (always OK). */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/tdbtt.c b/ast/erfa/tdbtt.c new file mode 100644 index 0000000..2b0d72e --- /dev/null +++ b/ast/erfa/tdbtt.c @@ -0,0 +1,130 @@ +#include "erfa.h" + +int eraTdbtt(double tdb1, double tdb2, double dtr, + double *tt1, double *tt2 ) +/* +** - - - - - - - - - +** e r a T d b t t +** - - - - - - - - - +** +** Time scale transformation: Barycentric Dynamical Time, TDB, to +** Terrestrial Time, TT. +** +** Given: +** tdb1,tdb2 double TDB as a 2-part Julian Date +** dtr double TDB-TT in seconds +** +** Returned: +** tt1,tt2 double TT as a 2-part Julian Date +** +** Returned (function value): +** int status: 0 = OK +** +** Notes: +** +** 1) tdb1+tdb2 is Julian Date, apportioned in any convenient way +** between the two arguments, for example where tdb1 is the Julian +** Day Number and tdb2 is the fraction of a day. The returned +** tt1,tt2 follow suit. +** +** 2) The argument dtr represents the quasi-periodic component of the +** GR transformation between TT and TCB. It is dependent upon the +** adopted solar-system ephemeris, and can be obtained by numerical +** integration, by interrogating a precomputed time ephemeris or by +** evaluating a model such as that implemented in the ERFA function +** eraDtdb. The quantity is dominated by an annual term of 1.7 ms +** amplitude. +** +** 3) TDB is essentially the same as Teph, the time argument for the +** JPL solar system ephemerides. +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** IAU 2006 Resolution 3 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dtrd; + + +/* Result, safeguarding precision. */ + dtrd = dtr / ERFA_DAYSEC; + if ( tdb1 > tdb2 ) { + *tt1 = tdb1; + *tt2 = tdb2 - dtrd; + } else { + *tt1 = tdb1 - dtrd; + *tt2 = tdb2; + } + +/* Status (always OK). */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/tf2a.c b/ast/erfa/tf2a.c new file mode 100644 index 0000000..3d3535e --- /dev/null +++ b/ast/erfa/tf2a.c @@ -0,0 +1,116 @@ +#include "erfa.h" +#include <stdlib.h> + +int eraTf2a(char s, int ihour, int imin, double sec, double *rad) +/* +** - - - - - - - - +** e r a T f 2 a +** - - - - - - - - +** +** Convert hours, minutes, seconds to radians. +** +** Given: +** s char sign: '-' = negative, otherwise positive +** ihour int hours +** imin int minutes +** sec double seconds +** +** Returned: +** rad double angle in radians +** +** Returned (function value): +** int status: 0 = OK +** 1 = ihour outside range 0-23 +** 2 = imin outside range 0-59 +** 3 = sec outside range 0-59.999... +** +** Notes: +** +** 1) The result is computed even if any of the range checks fail. +** +** 2) Negative ihour, imin and/or sec produce a warning status, but +** the absolute value is used in the conversion. +** +** 3) If there are multiple errors, the status value reflects only the +** first, the smallest taking precedence. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* Compute the interval. */ + *rad = ( s == '-' ? -1.0 : 1.0 ) * + ( 60.0 * ( 60.0 * ( (double) abs(ihour) ) + + ( (double) abs(imin) ) ) + + fabs(sec) ) * ERFA_DS2R; + +/* Validate arguments and return status. */ + if ( ihour < 0 || ihour > 23 ) return 1; + if ( imin < 0 || imin > 59 ) return 2; + if ( sec < 0.0 || sec >= 60.0 ) return 3; + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/tf2d.c b/ast/erfa/tf2d.c new file mode 100644 index 0000000..d61f0c8 --- /dev/null +++ b/ast/erfa/tf2d.c @@ -0,0 +1,116 @@ +#include "erfa.h" +#include <stdlib.h> + +int eraTf2d(char s, int ihour, int imin, double sec, double *days) +/* +** - - - - - - - - +** e r a T f 2 d +** - - - - - - - - +** +** Convert hours, minutes, seconds to days. +** +** Given: +** s char sign: '-' = negative, otherwise positive +** ihour int hours +** imin int minutes +** sec double seconds +** +** Returned: +** days double interval in days +** +** Returned (function value): +** int status: 0 = OK +** 1 = ihour outside range 0-23 +** 2 = imin outside range 0-59 +** 3 = sec outside range 0-59.999... +** +** Notes: +** +** 1) The result is computed even if any of the range checks fail. +** +** 2) Negative ihour, imin and/or sec produce a warning status, but +** the absolute value is used in the conversion. +** +** 3) If there are multiple errors, the status value reflects only the +** first, the smallest taking precedence. +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* Compute the interval. */ + *days = ( s == '-' ? -1.0 : 1.0 ) * + ( 60.0 * ( 60.0 * ( (double) abs(ihour) ) + + ( (double) abs(imin) ) ) + + fabs(sec) ) / ERFA_DAYSEC; + +/* Validate arguments and return status. */ + if ( ihour < 0 || ihour > 23 ) return 1; + if ( imin < 0 || imin > 59 ) return 2; + if ( sec < 0.0 || sec >= 60.0 ) return 3; + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/tr.c b/ast/erfa/tr.c new file mode 100644 index 0000000..7c97550 --- /dev/null +++ b/ast/erfa/tr.c @@ -0,0 +1,102 @@ +#include "erfa.h" + +void eraTr(double r[3][3], double rt[3][3]) +/* +** - - - - - - +** e r a T r +** - - - - - - +** +** Transpose an r-matrix. +** +** Given: +** r double[3][3] r-matrix +** +** Returned: +** rt double[3][3] transpose +** +** Note: +** It is permissible for r and rt to be the same array. +** +** Called: +** eraCr copy r-matrix +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double wm[3][3]; + int i, j; + + + for (i = 0; i < 3; i++) { + for (j = 0; j < 3; j++) { + wm[i][j] = r[j][i]; + } + } + eraCr(wm, rt); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/trxp.c b/ast/erfa/trxp.c new file mode 100644 index 0000000..82ff8c6 --- /dev/null +++ b/ast/erfa/trxp.c @@ -0,0 +1,102 @@ +#include "erfa.h" + +void eraTrxp(double r[3][3], double p[3], double trp[3]) +/* +** - - - - - - - - +** e r a T r x p +** - - - - - - - - +** +** Multiply a p-vector by the transpose of an r-matrix. +** +** Given: +** r double[3][3] r-matrix +** p double[3] p-vector +** +** Returned: +** trp double[3] r * p +** +** Note: +** It is permissible for p and trp to be the same array. +** +** Called: +** eraTr transpose r-matrix +** eraRxp product of r-matrix and p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double tr[3][3]; + + +/* Transpose of matrix r. */ + eraTr(r, tr); + +/* Matrix tr * vector p -> vector trp. */ + eraRxp(tr, p, trp); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/trxpv.c b/ast/erfa/trxpv.c new file mode 100644 index 0000000..ce071b1 --- /dev/null +++ b/ast/erfa/trxpv.c @@ -0,0 +1,102 @@ +#include "erfa.h" + +void eraTrxpv(double r[3][3], double pv[2][3], double trpv[2][3]) +/* +** - - - - - - - - - +** e r a T r x p v +** - - - - - - - - - +** +** Multiply a pv-vector by the transpose of an r-matrix. +** +** Given: +** r double[3][3] r-matrix +** pv double[2][3] pv-vector +** +** Returned: +** trpv double[2][3] r * pv +** +** Note: +** It is permissible for pv and trpv to be the same array. +** +** Called: +** eraTr transpose r-matrix +** eraRxpv product of r-matrix and pv-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double tr[3][3]; + + +/* Transpose of matrix r. */ + eraTr(r, tr); + +/* Matrix tr * vector pv -> vector trpv. */ + eraRxpv(tr, pv, trpv); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/tttai.c b/ast/erfa/tttai.c new file mode 100644 index 0000000..87edb10 --- /dev/null +++ b/ast/erfa/tttai.c @@ -0,0 +1,119 @@ +#include "erfa.h" + +int eraTttai(double tt1, double tt2, double *tai1, double *tai2) +/* +** - - - - - - - - - +** e r a T t t a i +** - - - - - - - - - +** +** Time scale transformation: Terrestrial Time, TT, to International +** Atomic Time, TAI. +** +** Given: +** tt1,tt2 double TT as a 2-part Julian Date +** +** Returned: +** tai1,tai2 double TAI as a 2-part Julian Date +** +** Returned (function value): +** int status: 0 = OK +** +** Note: +** +** tt1+tt2 is Julian Date, apportioned in any convenient way between +** the two arguments, for example where tt1 is the Julian Day Number +** and tt2 is the fraction of a day. The returned tai1,tai2 follow +** suit. +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* TT minus TAI (days). */ + static const double dtat = ERFA_TTMTAI/ERFA_DAYSEC; + + +/* Result, safeguarding precision. */ + if ( tt1 > tt2 ) { + *tai1 = tt1; + *tai2 = tt2 - dtat; + } else { + *tai1 = tt1 - dtat; + *tai2 = tt2; + } + +/* Status (always OK). */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/tttcg.c b/ast/erfa/tttcg.c new file mode 100644 index 0000000..dab382f --- /dev/null +++ b/ast/erfa/tttcg.c @@ -0,0 +1,121 @@ +#include "erfa.h" + +int eraTttcg(double tt1, double tt2, double *tcg1, double *tcg2) +/* +** - - - - - - - - - +** e r a T t t c g +** - - - - - - - - - +** +** Time scale transformation: Terrestrial Time, TT, to Geocentric +** Coordinate Time, TCG. +** +** Given: +** tt1,tt2 double TT as a 2-part Julian Date +** +** Returned: +** tcg1,tcg2 double TCG as a 2-part Julian Date +** +** Returned (function value): +** int status: 0 = OK +** +** Note: +** +** tt1+tt2 is Julian Date, apportioned in any convenient way between +** the two arguments, for example where tt1 is the Julian Day Number +** and tt2 is the fraction of a day. The returned tcg1,tcg2 follow +** suit. +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** IAU 2000 Resolution B1.9 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* 1977 Jan 1 00:00:32.184 TT, as MJD */ + static const double t77t = ERFA_DJM77 + ERFA_TTMTAI/ERFA_DAYSEC; + +/* TT to TCG rate */ + static const double elgg = ERFA_ELG/(1.0-ERFA_ELG); + + +/* Result, safeguarding precision. */ + if ( tt1 > tt2 ) { + *tcg1 = tt1; + *tcg2 = tt2 + ( ( tt1 - ERFA_DJM0 ) + ( tt2 - t77t ) ) * elgg; + } else { + *tcg1 = tt1 + ( ( tt2 - ERFA_DJM0 ) + ( tt1 - t77t ) ) * elgg; + *tcg2 = tt2; + } + +/* Status (always OK). */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/tttdb.c b/ast/erfa/tttdb.c new file mode 100644 index 0000000..c94c94d --- /dev/null +++ b/ast/erfa/tttdb.c @@ -0,0 +1,130 @@ +#include "erfa.h" + +int eraTttdb(double tt1, double tt2, double dtr, + double *tdb1, double *tdb2) +/* +** - - - - - - - - - +** e r a T t t d b +** - - - - - - - - - +** +** Time scale transformation: Terrestrial Time, TT, to Barycentric +** Dynamical Time, TDB. +** +** Given: +** tt1,tt2 double TT as a 2-part Julian Date +** dtr double TDB-TT in seconds +** +** Returned: +** tdb1,tdb2 double TDB as a 2-part Julian Date +** +** Returned (function value): +** int status: 0 = OK +** +** Notes: +** +** 1) tt1+tt2 is Julian Date, apportioned in any convenient way between +** the two arguments, for example where tt1 is the Julian Day Number +** and tt2 is the fraction of a day. The returned tdb1,tdb2 follow +** suit. +** +** 2) The argument dtr represents the quasi-periodic component of the +** GR transformation between TT and TCB. It is dependent upon the +** adopted solar-system ephemeris, and can be obtained by numerical +** integration, by interrogating a precomputed time ephemeris or by +** evaluating a model such as that implemented in the ERFA function +** eraDtdb. The quantity is dominated by an annual term of 1.7 ms +** amplitude. +** +** 3) TDB is essentially the same as Teph, the time argument for the JPL +** solar system ephemerides. +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** IAU 2006 Resolution 3 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dtrd; + + +/* Result, safeguarding precision. */ + dtrd = dtr / ERFA_DAYSEC; + if ( tt1 > tt2 ) { + *tdb1 = tt1; + *tdb2 = tt2 + dtrd; + } else { + *tdb1 = tt1 + dtrd; + *tdb2 = tt2; + } + +/* Status (always OK). */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ttut1.c b/ast/erfa/ttut1.c new file mode 100644 index 0000000..27dbac8 --- /dev/null +++ b/ast/erfa/ttut1.c @@ -0,0 +1,119 @@ +#include "erfa.h" + +int eraTtut1(double tt1, double tt2, double dt, + double *ut11, double *ut12) +/* +** - - - - - - - - - +** e r a T t u t 1 +** - - - - - - - - - +** +** Time scale transformation: Terrestrial Time, TT, to Universal Time, +** UT1. +** +** Given: +** tt1,tt2 double TT as a 2-part Julian Date +** dt double TT-UT1 in seconds +** +** Returned: +** ut11,ut12 double UT1 as a 2-part Julian Date +** +** Returned (function value): +** int status: 0 = OK +** +** Notes: +** +** 1) tt1+tt2 is Julian Date, apportioned in any convenient way between +** the two arguments, for example where tt1 is the Julian Day Number +** and tt2 is the fraction of a day. The returned ut11,ut12 follow +** suit. +** +** 2) The argument dt is classical Delta T. +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dtd; + + +/* Result, safeguarding precision. */ + dtd = dt / ERFA_DAYSEC; + if ( tt1 > tt2 ) { + *ut11 = tt1; + *ut12 = tt2 - dtd; + } else { + *ut11 = tt1 - dtd; + *ut12 = tt2; + } + +/* Status (always OK). */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ut1tai.c b/ast/erfa/ut1tai.c new file mode 100644 index 0000000..c21df04 --- /dev/null +++ b/ast/erfa/ut1tai.c @@ -0,0 +1,120 @@ +#include "erfa.h" + +int eraUt1tai(double ut11, double ut12, double dta, + double *tai1, double *tai2) +/* +** - - - - - - - - - - +** e r a U t 1 t a i +** - - - - - - - - - - +** +** Time scale transformation: Universal Time, UT1, to International +** Atomic Time, TAI. +** +** Given: +** ut11,ut12 double UT1 as a 2-part Julian Date +** dta double UT1-TAI in seconds +** +** Returned: +** tai1,tai2 double TAI as a 2-part Julian Date +** +** Returned (function value): +** int status: 0 = OK +** +** Notes: +** +** 1) ut11+ut12 is Julian Date, apportioned in any convenient way +** between the two arguments, for example where ut11 is the Julian +** Day Number and ut12 is the fraction of a day. The returned +** tai1,tai2 follow suit. +** +** 2) The argument dta, i.e. UT1-TAI, is an observed quantity, and is +** available from IERS tabulations. +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dtad; + + +/* Result, safeguarding precision. */ + dtad = dta / ERFA_DAYSEC; + if ( ut11 > ut12 ) { + *tai1 = ut11; + *tai2 = ut12 - dtad; + } else { + *tai1 = ut11 - dtad; + *tai2 = ut12; + } + +/* Status (always OK). */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ut1tt.c b/ast/erfa/ut1tt.c new file mode 100644 index 0000000..6beeb22 --- /dev/null +++ b/ast/erfa/ut1tt.c @@ -0,0 +1,119 @@ +#include "erfa.h" + +int eraUt1tt(double ut11, double ut12, double dt, + double *tt1, double *tt2) +/* +** - - - - - - - - - +** e r a U t 1 t t +** - - - - - - - - - +** +** Time scale transformation: Universal Time, UT1, to Terrestrial +** Time, TT. +** +** Given: +** ut11,ut12 double UT1 as a 2-part Julian Date +** dt double TT-UT1 in seconds +** +** Returned: +** tt1,tt2 double TT as a 2-part Julian Date +** +** Returned (function value): +** int status: 0 = OK +** +** Notes: +** +** 1) ut11+ut12 is Julian Date, apportioned in any convenient way +** between the two arguments, for example where ut11 is the Julian +** Day Number and ut12 is the fraction of a day. The returned +** tt1,tt2 follow suit. +** +** 2) The argument dt is classical Delta T. +** +** Reference: +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double dtd; + + +/* Result, safeguarding precision. */ + dtd = dt / ERFA_DAYSEC; + if ( ut11 > ut12 ) { + *tt1 = ut11; + *tt2 = ut12 + dtd; + } else { + *tt1 = ut11 + dtd; + *tt2 = ut12; + } + +/* Status (always OK). */ + return 0; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/ut1utc.c b/ast/erfa/ut1utc.c new file mode 100644 index 0000000..4788bb3 --- /dev/null +++ b/ast/erfa/ut1utc.c @@ -0,0 +1,202 @@ +#include "erfa.h" + +int eraUt1utc(double ut11, double ut12, double dut1, + double *utc1, double *utc2) +/* +** - - - - - - - - - - +** e r a U t 1 u t c +** - - - - - - - - - - +** +** Time scale transformation: Universal Time, UT1, to Coordinated +** Universal Time, UTC. +** +** Given: +** ut11,ut12 double UT1 as a 2-part Julian Date (Note 1) +** dut1 double Delta UT1: UT1-UTC in seconds (Note 2) +** +** Returned: +** utc1,utc2 double UTC as a 2-part quasi Julian Date (Notes 3,4) +** +** Returned (function value): +** int status: +1 = dubious year (Note 5) +** 0 = OK +** -1 = unacceptable date +** +** Notes: +** +** 1) ut11+ut12 is Julian Date, apportioned in any convenient way +** between the two arguments, for example where ut11 is the Julian +** Day Number and ut12 is the fraction of a day. The returned utc1 +** and utc2 form an analogous pair, except that a special convention +** is used, to deal with the problem of leap seconds - see Note 3. +** +** 2) Delta UT1 can be obtained from tabulations provided by the +** International Earth Rotation and Reference Systems Service. The +** value changes abruptly by 1s at a leap second; however, close to +** a leap second the algorithm used here is tolerant of the "wrong" +** choice of value being made. +** +** 3) JD cannot unambiguously represent UTC during a leap second unless +** special measures are taken. The convention in the present +** function is that the returned quasi JD day UTC1+UTC2 represents +** UTC days whether the length is 86399, 86400 or 86401 SI seconds. +** +** 4) The function eraD2dtf can be used to transform the UTC quasi-JD +** into calendar date and clock time, including UTC leap second +** handling. +** +** 5) The warning status "dubious year" flags UTCs that predate the +** introduction of the time scale or that are too far in the future +** to be trusted. See eraDat for further details. +** +** Called: +** eraJd2cal JD to Gregorian calendar +** eraDat delta(AT) = TAI-UTC +** eraCal2jd Gregorian calendar to JD +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int big1; + int i, iy, im, id, js; + double duts, u1, u2, d1, dats1, d2, fd, dats2, ddats, us1, us2, du; + + +/* UT1-UTC in seconds. */ + duts = dut1; + +/* Put the two parts of the UT1 into big-first order. */ + big1 = ( ut11 >= ut12 ); + if ( big1 ) { + u1 = ut11; + u2 = ut12; + } else { + u1 = ut12; + u2 = ut11; + } + +/* See if the UT1 can possibly be in a leap-second day. */ + d1 = u1; + dats1 = 0; + for ( i = -1; i <= 3; i++ ) { + d2 = u2 + (double) i; + if ( eraJd2cal(d1, d2, &iy, &im, &id, &fd) ) return -1; + js = eraDat(iy, im, id, 0.0, &dats2); + if ( js < 0 ) return -1; + if ( i == - 1 ) dats1 = dats2; + ddats = dats2 - dats1; + if ( fabs(ddats) >= 0.5 ) { + + /* Yes, leap second nearby: ensure UT1-UTC is "before" value. */ + if ( ddats * duts >= 0 ) duts -= ddats; + + /* UT1 for the start of the UTC day that ends in a leap. */ + if ( eraCal2jd(iy, im, id, &d1, &d2) ) return -1; + us1 = d1; + us2 = d2 - 1.0 + duts/ERFA_DAYSEC; + + /* Is the UT1 after this point? */ + du = u1 - us1; + du += u2 - us2; + if ( du > 0 ) { + + /* Yes: fraction of the current UTC day that has elapsed. */ + fd = du * ERFA_DAYSEC / ( ERFA_DAYSEC + ddats ); + + /* Ramp UT1-UTC to bring about ERFA's JD(UTC) convention. */ + duts += ddats * ( fd <= 1.0 ? fd : 1.0 ); + } + + /* Done. */ + break; + } + dats1 = dats2; + } + +/* Subtract the (possibly adjusted) UT1-UTC from UT1 to give UTC. */ + u2 -= duts / ERFA_DAYSEC; + +/* Result, safeguarding precision. */ + if ( big1 ) { + *utc1 = u1; + *utc2 = u2; + } else { + *utc1 = u2; + *utc2 = u1; + } + +/* Status. */ + return js; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/utctai.c b/ast/erfa/utctai.c new file mode 100644 index 0000000..44526f0 --- /dev/null +++ b/ast/erfa/utctai.c @@ -0,0 +1,186 @@ +#include "erfa.h" + +int eraUtctai(double utc1, double utc2, double *tai1, double *tai2) +/* +** - - - - - - - - - - +** e r a U t c t a i +** - - - - - - - - - - +** +** Time scale transformation: Coordinated Universal Time, UTC, to +** International Atomic Time, TAI. +** +** Given: +** utc1,utc2 double UTC as a 2-part quasi Julian Date (Notes 1-4) +** +** Returned: +** tai1,tai2 double TAI as a 2-part Julian Date (Note 5) +** +** Returned (function value): +** int status: +1 = dubious year (Note 3) +** 0 = OK +** -1 = unacceptable date +** +** Notes: +** +** 1) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any +** convenient way between the two arguments, for example where utc1 +** is the Julian Day Number and utc2 is the fraction of a day. +** +** 2) JD cannot unambiguously represent UTC during a leap second unless +** special measures are taken. The convention in the present +** function is that the JD day represents UTC days whether the +** length is 86399, 86400 or 86401 SI seconds. In the 1960-1972 era +** there were smaller jumps (in either direction) each time the +** linear UTC(TAI) expression was changed, and these "mini-leaps" +** are also included in the ERFA convention. +** +** 3) The warning status "dubious year" flags UTCs that predate the +** introduction of the time scale or that are too far in the future +** to be trusted. See eraDat for further details. +** +** 4) The function eraDtf2d converts from calendar date and time of day +** into 2-part Julian Date, and in the case of UTC implements the +** leap-second-ambiguity convention described above. +** +** 5) The returned TAI1,TAI2 are such that their sum is the TAI Julian +** Date. +** +** Called: +** eraJd2cal JD to Gregorian calendar +** eraDat delta(AT) = TAI-UTC +** eraCal2jd Gregorian calendar to JD +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int big1; + int iy, im, id, j, iyt, imt, idt; + double u1, u2, fd, dat0, dat12, w, dat24, dlod, dleap, z1, z2, a2; + + +/* Put the two parts of the UTC into big-first order. */ + big1 = ( utc1 >= utc2 ); + if ( big1 ) { + u1 = utc1; + u2 = utc2; + } else { + u1 = utc2; + u2 = utc1; + } + +/* Get TAI-UTC at 0h today. */ + j = eraJd2cal(u1, u2, &iy, &im, &id, &fd); + if ( j ) return j; + j = eraDat(iy, im, id, 0.0, &dat0); + if ( j < 0 ) return j; + +/* Get TAI-UTC at 12h today (to detect drift). */ + j = eraDat(iy, im, id, 0.5, &dat12); + if ( j < 0 ) return j; + +/* Get TAI-UTC at 0h tomorrow (to detect jumps). */ + j = eraJd2cal(u1+1.5, u2-fd, &iyt, &imt, &idt, &w); + if ( j ) return j; + j = eraDat(iyt, imt, idt, 0.0, &dat24); + if ( j < 0 ) return j; + +/* Separate TAI-UTC change into per-day (DLOD) and any jump (DLEAP). */ + dlod = 2.0 * (dat12 - dat0); + dleap = dat24 - (dat0 + dlod); + +/* Remove any scaling applied to spread leap into preceding day. */ + fd *= (ERFA_DAYSEC+dleap)/ERFA_DAYSEC; + +/* Scale from (pre-1972) UTC seconds to SI seconds. */ + fd *= (ERFA_DAYSEC+dlod)/ERFA_DAYSEC; + +/* Today's calendar date to 2-part JD. */ + if ( eraCal2jd(iy, im, id, &z1, &z2) ) return -1; + +/* Assemble the TAI result, preserving the UTC split and order. */ + a2 = z1 - u1; + a2 += z2; + a2 += fd + dat0/ERFA_DAYSEC; + if ( big1 ) { + *tai1 = u1; + *tai2 = a2; + } else { + *tai1 = a2; + *tai2 = u1; + } + +/* Status. */ + return j; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/utcut1.c b/ast/erfa/utcut1.c new file mode 100644 index 0000000..0ba94bc --- /dev/null +++ b/ast/erfa/utcut1.c @@ -0,0 +1,156 @@ +#include "erfa.h" + +int eraUtcut1(double utc1, double utc2, double dut1, + double *ut11, double *ut12) +/* +** - - - - - - - - - - +** e r a U t c u t 1 +** - - - - - - - - - - +** +** Time scale transformation: Coordinated Universal Time, UTC, to +** Universal Time, UT1. +** +** Given: +** utc1,utc2 double UTC as a 2-part quasi Julian Date (Notes 1-4) +** dut1 double Delta UT1 = UT1-UTC in seconds (Note 5) +** +** Returned: +** ut11,ut12 double UT1 as a 2-part Julian Date (Note 6) +** +** Returned (function value): +** int status: +1 = dubious year (Note 3) +** 0 = OK +** -1 = unacceptable date +** +** Notes: +** +** 1) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any +** convenient way between the two arguments, for example where utc1 +** is the Julian Day Number and utc2 is the fraction of a day. +** +** 2) JD cannot unambiguously represent UTC during a leap second unless +** special measures are taken. The convention in the present +** function is that the JD day represents UTC days whether the +** length is 86399, 86400 or 86401 SI seconds. +** +** 3) The warning status "dubious year" flags UTCs that predate the +** introduction of the time scale or that are too far in the future +** to be trusted. See eraDat for further details. +** +** 4) The function eraDtf2d converts from calendar date and time of +** day into 2-part Julian Date, and in the case of UTC implements +** the leap-second-ambiguity convention described above. +** +** 5) Delta UT1 can be obtained from tabulations provided by the +** International Earth Rotation and Reference Systems Service. +** It is the caller's responsibility to supply a dut1 argument +** containing the UT1-UTC value that matches the given UTC. +** +** 6) The returned ut11,ut12 are such that their sum is the UT1 Julian +** Date. +** +** References: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Explanatory Supplement to the Astronomical Almanac, +** P. Kenneth Seidelmann (ed), University Science Books (1992) +** +** Called: +** eraJd2cal JD to Gregorian calendar +** eraDat delta(AT) = TAI-UTC +** eraUtctai UTC to TAI +** eraTaiut1 TAI to UT1 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + int iy, im, id, js, jw; + double w, dat, dta, tai1, tai2; + + +/* Look up TAI-UTC. */ + if ( eraJd2cal(utc1, utc2, &iy, &im, &id, &w) ) return -1; + js = eraDat ( iy, im, id, 0.0, &dat); + if ( js < 0 ) return -1; + +/* Form UT1-TAI. */ + dta = dut1 - dat; + +/* UTC to TAI to UT1. */ + jw = eraUtctai(utc1, utc2, &tai1, &tai2); + if ( jw < 0 ) { + return -1; + } else if ( jw > 0 ) { + js = jw; + } + if ( eraTaiut1(tai1, tai2, dta, ut11, ut12) ) return -1; + +/* Status. */ + return js; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/xy06.c b/ast/erfa/xy06.c new file mode 100644 index 0000000..ab7965a --- /dev/null +++ b/ast/erfa/xy06.c @@ -0,0 +1,2767 @@ +#include "erfa.h" + +void eraXy06(double date1, double date2, double *x, double *y) +/* +** - - - - - - - - +** e r a X y 0 6 +** - - - - - - - - +** +** X,Y coordinates of celestial intermediate pole from series based +** on IAU 2006 precession and IAU 2000A nutation. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** x,y double CIP X,Y coordinates (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The X,Y coordinates are those of the unit vector towards the +** celestial intermediate pole. They represent the combined effects +** of frame bias, precession and nutation. +** +** 3) The fundamental arguments used are as adopted in IERS Conventions +** (2003) and are from Simon et al. (1994) and Souchay et al. +** (1999). +** +** 4) This is an alternative to the angles-based method, via the ERFA +** function eraFw2xy and as used in eraXys06a for example. The two +** methods agree at the 1 microarcsecond level (at present), a +** negligible amount compared with the intrinsic accuracy of the +** models. However, it would be unwise to mix the two methods +** (angles-based and series-based) in a single application. +** +** Called: +** eraFal03 mean anomaly of the Moon +** eraFalp03 mean anomaly of the Sun +** eraFaf03 mean argument of the latitude of the Moon +** eraFad03 mean elongation of the Moon from the Sun +** eraFaom03 mean longitude of the Moon's ascending node +** eraFame03 mean longitude of Mercury +** eraFave03 mean longitude of Venus +** eraFae03 mean longitude of Earth +** eraFama03 mean longitude of Mars +** eraFaju03 mean longitude of Jupiter +** eraFasa03 mean longitude of Saturn +** eraFaur03 mean longitude of Uranus +** eraFane03 mean longitude of Neptune +** eraFapa03 general accumulated precession in longitude +** +** References: +** +** Capitaine, N., Wallace, P.T. & Chapront, J., 2003, +** Astron.Astrophys., 412, 567 +** +** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 +** +** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003), +** IERS Technical Note No. 32, BKG +** +** Simon, J.L., Bretagnon, P., Chapront, J., Chapront-Touze, M., +** Francou, G. & Laskar, J., Astron.Astrophys., 1994, 282, 663 +** +** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M., 1999, +** Astron.Astrophys.Supp.Ser. 135, 111 +** +** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + +/* Maximum power of T in the polynomials for X and Y */ + enum { MAXPT = 5 }; + +/* Polynomial coefficients (arcsec, X then Y). */ + static const double xyp[2][MAXPT+1] = { + + { -0.016617, + 2004.191898, + -0.4297829, + -0.19861834, + 0.000007578, + 0.0000059285 + }, + { -0.006951, + -0.025896, + -22.4072747, + 0.00190059, + 0.001112526, + 0.0000001358 + } + }; + +/* Fundamental-argument multipliers: luni-solar terms */ + static const int mfals[][5] = { + + /* 1-10 */ + { 0, 0, 0, 0, 1 }, + { 0, 0, 2, -2, 2 }, + { 0, 0, 2, 0, 2 }, + { 0, 0, 0, 0, 2 }, + { 0, 1, 0, 0, 0 }, + { 0, 1, 2, -2, 2 }, + { 1, 0, 0, 0, 0 }, + { 0, 0, 2, 0, 1 }, + { 1, 0, 2, 0, 2 }, + { 0, 1, -2, 2, -2 }, + + /* 11-20 */ + { 0, 0, 2, -2, 1 }, + { 1, 0, -2, 0, -2 }, + { 1, 0, 0, -2, 0 }, + { 1, 0, 0, 0, 1 }, + { 1, 0, 0, 0, -1 }, + { 1, 0, -2, -2, -2 }, + { 1, 0, 2, 0, 1 }, + { 2, 0, -2, 0, -1 }, + { 0, 0, 0, 2, 0 }, + { 0, 0, 2, 2, 2 }, + + /* 21-30 */ + { 2, 0, 0, -2, 0 }, + { 0, 2, -2, 2, -2 }, + { 2, 0, 2, 0, 2 }, + { 1, 0, 2, -2, 2 }, + { 1, 0, -2, 0, -1 }, + { 2, 0, 0, 0, 0 }, + { 0, 0, 2, 0, 0 }, + { 0, 1, 0, 0, 1 }, + { 1, 0, 0, -2, -1 }, + { 0, 2, 2, -2, 2 }, + + /* 31-40 */ + { 0, 0, 2, -2, 0 }, + { 1, 0, 0, -2, 1 }, + { 0, 1, 0, 0, -1 }, + { 0, 2, 0, 0, 0 }, + { 1, 0, -2, -2, -1 }, + { 1, 0, 2, 2, 2 }, + { 0, 1, 2, 0, 2 }, + { 2, 0, -2, 0, 0 }, + { 0, 0, 2, 2, 1 }, + { 0, 1, -2, 0, -2 }, + + /* 41-50 */ + { 0, 0, 0, 2, 1 }, + { 1, 0, 2, -2, 1 }, + { 2, 0, 0, -2, -1 }, + { 2, 0, 2, -2, 2 }, + { 2, 0, 2, 0, 1 }, + { 0, 0, 0, 2, -1 }, + { 0, 1, -2, 2, -1 }, + { 1, 1, 0, -2, 0 }, + { 2, 0, 0, -2, 1 }, + { 1, 0, 0, 2, 0 }, + + /* 51-60 */ + { 0, 1, 2, -2, 1 }, + { 1, -1, 0, 0, 0 }, + { 0, 1, -1, 1, -1 }, + { 2, 0, -2, 0, -2 }, + { 0, 1, 0, -2, 0 }, + { 1, 0, 0, -1, 0 }, + { 3, 0, 2, 0, 2 }, + { 0, 0, 0, 1, 0 }, + { 1, -1, 2, 0, 2 }, + { 1, 1, -2, -2, -2 }, + + /* 61-70 */ + { 1, 0, -2, 0, 0 }, + { 2, 0, 0, 0, -1 }, + { 0, 1, -2, -2, -2 }, + { 1, 1, 2, 0, 2 }, + { 2, 0, 0, 0, 1 }, + { 1, 1, 0, 0, 0 }, + { 1, 0, -2, 2, -1 }, + { 1, 0, 2, 0, 0 }, + { 1, -1, 0, -1, 0 }, + { 1, 0, 0, 0, 2 }, + + /* 71-80 */ + { 1, 0, -1, 0, -1 }, + { 0, 0, 2, 1, 2 }, + { 1, 0, -2, -4, -2 }, + { 1, -1, 0, -1, -1 }, + { 1, 0, 2, 2, 1 }, + { 0, 2, -2, 2, -1 }, + { 1, 0, 0, 0, -2 }, + { 2, 0, -2, -2, -2 }, + { 1, 1, 2, -2, 2 }, + { 2, 0, -2, -4, -2 }, + + /* 81-90 */ + { 1, 0, -4, 0, -2 }, + { 2, 0, 2, -2, 1 }, + { 1, 0, 0, -1, -1 }, + { 2, 0, 2, 2, 2 }, + { 3, 0, 0, 0, 0 }, + { 1, 0, 0, 2, 1 }, + { 0, 0, 2, -2, -1 }, + { 3, 0, 2, -2, 2 }, + { 0, 0, 4, -2, 2 }, + { 1, 0, 0, -4, 0 }, + + /* 91-100 */ + { 0, 1, 2, 0, 1 }, + { 2, 0, 0, -4, 0 }, + { 1, 1, 0, -2, -1 }, + { 2, 0, -2, 0, 1 }, + { 0, 0, 2, 0, -1 }, + { 0, 1, -2, 0, -1 }, + { 0, 1, 0, 0, 2 }, + { 0, 0, 2, -1, 2 }, + { 0, 0, 2, 4, 2 }, + { 2, 1, 0, -2, 0 }, + + /* 101-110 */ + { 1, 1, 0, -2, 1 }, + { 1, -1, 0, -2, 0 }, + { 1, -1, 0, -1, -2 }, + { 1, -1, 0, 0, 1 }, + { 0, 1, -2, 2, 0 }, + { 0, 1, 0, 0, -2 }, + { 1, -1, 2, 2, 2 }, + { 1, 0, 0, 2, -1 }, + { 1, -1, -2, -2, -2 }, + { 3, 0, 2, 0, 1 }, + + /* 111-120 */ + { 0, 1, 2, 2, 2 }, + { 1, 0, 2, -2, 0 }, + { 1, 1, -2, -2, -1 }, + { 1, 0, 2, -4, 1 }, + { 0, 1, -2, -2, -1 }, + { 2, -1, 2, 0, 2 }, + { 0, 0, 0, 2, 2 }, + { 1, -1, 2, 0, 1 }, + { 1, -1, -2, 0, -2 }, + { 0, 1, 0, 2, 0 }, + + /* 121-130 */ + { 0, 1, 2, -2, 0 }, + { 0, 0, 0, 1, 1 }, + { 1, 0, -2, -2, 0 }, + { 0, 3, 2, -2, 2 }, + { 2, 1, 2, 0, 2 }, + { 1, 1, 0, 0, 1 }, + { 2, 0, 0, 2, 0 }, + { 1, 1, 2, 0, 1 }, + { 1, 0, 0, -2, -2 }, + { 1, 0, -2, 2, 0 }, + + /* 131-140 */ + { 1, 0, -1, 0, -2 }, + { 0, 1, 0, -2, 1 }, + { 0, 1, 0, 1, 0 }, + { 0, 0, 0, 1, -1 }, + { 1, 0, -2, 2, -2 }, + { 1, -1, 0, 0, -1 }, + { 0, 0, 0, 4, 0 }, + { 1, -1, 0, 2, 0 }, + { 1, 0, 2, 1, 2 }, + { 1, 0, 2, -1, 2 }, + + /* 141-150 */ + { 0, 0, 2, 1, 1 }, + { 1, 0, 0, -2, 2 }, + { 1, 0, -2, 0, 1 }, + { 1, 0, -2, -4, -1 }, + { 0, 0, 2, 2, 0 }, + { 1, 1, 2, -2, 1 }, + { 1, 0, -2, 1, -1 }, + { 0, 0, 1, 0, 1 }, + { 2, 0, -2, -2, -1 }, + { 4, 0, 2, 0, 2 }, + + /* 151-160 */ + { 2, -1, 0, 0, 0 }, + { 2, 1, 2, -2, 2 }, + { 0, 1, 2, 1, 2 }, + { 1, 0, 4, -2, 2 }, + { 1, 1, 0, 0, -1 }, + { 2, 0, 2, 0, 0 }, + { 2, 0, -2, -4, -1 }, + { 1, 0, -1, 0, 0 }, + { 1, 0, 0, 1, 0 }, + { 0, 1, 0, 2, 1 }, + + /* 161-170 */ + { 1, 0, -4, 0, -1 }, + { 1, 0, 0, -4, -1 }, + { 2, 0, 2, 2, 1 }, + { 2, 1, 0, 0, 0 }, + { 0, 0, 2, -3, 2 }, + { 1, 2, 0, -2, 0 }, + { 0, 3, 0, 0, 0 }, + { 0, 0, 4, 0, 2 }, + { 0, 0, 2, -4, 1 }, + { 2, 0, 0, -2, -2 }, + + /* 171-180 */ + { 1, 1, -2, -4, -2 }, + { 0, 1, 0, -2, -1 }, + { 0, 0, 0, 4, 1 }, + { 3, 0, 2, -2, 1 }, + { 1, 0, 2, 4, 2 }, + { 1, 1, -2, 0, -2 }, + { 0, 0, 4, -2, 1 }, + { 2, -2, 0, -2, 0 }, + { 2, 1, 0, -2, -1 }, + { 0, 2, 0, -2, 0 }, + + /* 181-190 */ + { 1, 0, 0, -1, 1 }, + { 1, 1, 2, 2, 2 }, + { 3, 0, 0, 0, -1 }, + { 2, 0, 0, -4, -1 }, + { 3, 0, 2, 2, 2 }, + { 0, 0, 2, 4, 1 }, + { 0, 2, -2, -2, -2 }, + { 1, -1, 0, -2, -1 }, + { 0, 0, 2, -1, 1 }, + { 2, 0, 0, 2, 1 }, + + /* 191-200 */ + { 1, -1, -2, 2, -1 }, + { 0, 0, 0, 2, -2 }, + { 2, 0, 0, -4, 1 }, + { 1, 0, 0, -4, 1 }, + { 2, 0, 2, -4, 1 }, + { 4, 0, 2, -2, 2 }, + { 2, 1, -2, 0, -1 }, + { 2, 1, -2, -4, -2 }, + { 3, 0, 0, -4, 0 }, + { 1, -1, 2, 2, 1 }, + + /* 201-210 */ + { 1, -1, -2, 0, -1 }, + { 0, 2, 0, 0, 1 }, + { 1, 2, -2, -2, -2 }, + { 1, 1, 0, -4, 0 }, + { 2, 0, 0, -2, 2 }, + { 0, 2, 2, -2, 1 }, + { 1, 0, 2, 0, -1 }, + { 2, 1, 0, -2, 1 }, + { 2, -1, -2, 0, -1 }, + { 1, -1, -2, -2, -1 }, + + /* 211-220 */ + { 0, 1, -2, 1, -2 }, + { 1, 0, -4, 2, -2 }, + { 0, 1, 2, 2, 1 }, + { 3, 0, 0, 0, 1 }, + { 2, -1, 2, 2, 2 }, + { 0, 1, -2, -4, -2 }, + { 1, 0, -2, -3, -2 }, + { 2, 0, 0, 0, 2 }, + { 1, -1, 0, -2, -2 }, + { 2, 0, -2, 2, -1 }, + + /* 221-230 */ + { 0, 2, -2, 0, -2 }, + { 3, 0, -2, 0, -1 }, + { 2, -1, 2, 0, 1 }, + { 1, 0, -2, -1, -2 }, + { 0, 0, 2, 0, 3 }, + { 2, 0, -4, 0, -2 }, + { 2, 1, 0, -4, 0 }, + { 1, 1, -2, 1, -1 }, + { 0, 2, 2, 0, 2 }, + { 1, -1, 2, -2, 2 }, + + /* 231-240 */ + { 1, -1, 0, -2, 1 }, + { 2, 1, 2, 0, 1 }, + { 1, 0, 2, -4, 2 }, + { 1, 1, -2, 0, -1 }, + { 1, 1, 0, 2, 0 }, + { 1, 0, 0, -3, 0 }, + { 2, 0, 2, -1, 2 }, + { 0, 2, 0, 0, -1 }, + { 2, -1, 0, -2, 0 }, + { 4, 0, 0, 0, 0 }, + + /* 241-250 */ + { 2, 1, -2, -2, -2 }, + { 0, 2, -2, 2, 0 }, + { 1, 0, 2, 1, 1 }, + { 1, 0, -1, 0, -3 }, + { 3, -1, 2, 0, 2 }, + { 2, 0, 2, -2, 0 }, + { 1, -2, 0, 0, 0 }, + { 2, 0, 0, 0, -2 }, + { 1, 0, 0, 4, 0 }, + { 0, 1, 0, 1, 1 }, + + /* 251-260 */ + { 1, 0, 2, 2, 0 }, + { 0, 1, 0, 2, -1 }, + { 0, 1, 0, 1, -1 }, + { 0, 0, 2, -2, 3 }, + { 3, 1, 2, 0, 2 }, + { 1, 1, 2, 1, 2 }, + { 1, 1, -2, 2, -1 }, + { 2, -1, 2, -2, 2 }, + { 1, -2, 2, 0, 2 }, + { 1, 0, 2, -4, 0 }, + + /* 261-270 */ + { 0, 0, 1, 0, 0 }, + { 1, 0, 2, -3, 1 }, + { 1, -2, 0, -2, 0 }, + { 2, 0, 0, 2, -1 }, + { 1, 1, 2, -4, 1 }, + { 4, 0, 2, 0, 1 }, + { 0, 1, 2, 1, 1 }, + { 1, 2, 2, -2, 2 }, + { 2, 0, 2, 1, 2 }, + { 2, 1, 2, -2, 1 }, + + /* 271-280 */ + { 1, 0, 2, -1, 1 }, + { 1, 0, 4, -2, 1 }, + { 1, -1, 2, -2, 1 }, + { 0, 1, 0, -4, 0 }, + { 3, 0, -2, -2, -2 }, + { 0, 0, 4, -4, 2 }, + { 2, 0, -4, -2, -2 }, + { 2, -2, 0, -2, -1 }, + { 1, 0, 2, -2, -1 }, + { 2, 0, -2, -6, -2 }, + + /* 281-290 */ + { 1, 0, -2, 1, -2 }, + { 1, 0, -2, 2, 1 }, + { 1, -1, 0, 2, -1 }, + { 1, 0, -2, 1, 0 }, + { 2, -1, 0, -2, 1 }, + { 1, -1, 0, 2, 1 }, + { 2, 0, -2, -2, 0 }, + { 1, 0, 2, -3, 2 }, + { 0, 0, 0, 4, -1 }, + { 2, -1, 0, 0, 1 }, + + /* 291-300 */ + { 2, 0, 4, -2, 2 }, + { 0, 0, 2, 3, 2 }, + { 0, 1, 4, -2, 2 }, + { 0, 1, -2, 2, 1 }, + { 1, 1, 0, 2, 1 }, + { 1, 0, 0, 4, 1 }, + { 0, 0, 4, 0, 1 }, + { 2, 0, 0, -3, 0 }, + { 1, 0, 0, -1, -2 }, + { 1, -2, -2, -2, -2 }, + + /* 301-310 */ + { 3, 0, 0, 2, 0 }, + { 2, 0, 2, -4, 2 }, + { 1, 1, -2, -4, -1 }, + { 1, 0, -2, -6, -2 }, + { 2, -1, 0, 0, -1 }, + { 2, -1, 0, 2, 0 }, + { 0, 1, 2, -2, -1 }, + { 1, 1, 0, 1, 0 }, + { 1, 2, 0, -2, -1 }, + { 1, 0, 0, 1, -1 }, + + /* 311-320 */ + { 0, 0, 1, 0, 2 }, + { 3, 1, 2, -2, 2 }, + { 1, 0, -4, -2, -2 }, + { 1, 0, 2, 4, 1 }, + { 1, -2, 2, 2, 2 }, + { 1, -1, -2, -4, -2 }, + { 0, 0, 2, -4, 2 }, + { 0, 0, 2, -3, 1 }, + { 2, 1, -2, 0, 0 }, + { 3, 0, -2, -2, -1 }, + + /* 321-330 */ + { 2, 0, 2, 4, 2 }, + { 0, 0, 0, 0, 3 }, + { 2, -1, -2, -2, -2 }, + { 2, 0, 0, -1, 0 }, + { 3, 0, 2, -4, 2 }, + { 2, 1, 2, 2, 2 }, + { 0, 0, 3, 0, 3 }, + { 1, 1, 2, 2, 1 }, + { 2, 1, 0, 0, -1 }, + { 1, 2, 0, -2, 1 }, + + /* 331-340 */ + { 3, 0, 2, 2, 1 }, + { 1, -1, -2, 2, -2 }, + { 1, 1, 0, -1, 0 }, + { 1, 2, 0, 0, 0 }, + { 1, 0, 4, 0, 2 }, + { 1, -1, 2, 4, 2 }, + { 2, 1, 0, 0, 1 }, + { 1, 0, 0, 2, 2 }, + { 1, -1, -2, 2, 0 }, + { 0, 2, -2, -2, -1 }, + + /* 341-350 */ + { 2, 0, -2, 0, 2 }, + { 5, 0, 2, 0, 2 }, + { 3, 0, -2, -6, -2 }, + { 1, -1, 2, -1, 2 }, + { 3, 0, 0, -4, -1 }, + { 1, 0, 0, 1, 1 }, + { 1, 0, -4, 2, -1 }, + { 0, 1, 2, -4, 1 }, + { 1, 2, 2, 0, 2 }, + { 0, 1, 0, -2, -2 }, + + /* 351-360 */ + { 0, 0, 2, -1, 0 }, + { 1, 0, 1, 0, 1 }, + { 0, 2, 0, -2, 1 }, + { 3, 0, 2, 0, 0 }, + { 1, 1, -2, 1, 0 }, + { 2, 1, -2, -4, -1 }, + { 3, -1, 0, 0, 0 }, + { 2, -1, -2, 0, 0 }, + { 4, 0, 2, -2, 1 }, + { 2, 0, -2, 2, 0 }, + + /* 361-370 */ + { 1, 1, 2, -2, 0 }, + { 1, 0, -2, 4, -1 }, + { 1, 0, -2, -2, 1 }, + { 2, 0, 2, -4, 0 }, + { 1, 1, 0, -2, -2 }, + { 1, 1, -2, -2, 0 }, + { 1, 0, 1, -2, 1 }, + { 2, -1, -2, -4, -2 }, + { 3, 0, -2, 0, -2 }, + { 0, 1, -2, -2, 0 }, + + /* 371-380 */ + { 3, 0, 0, -2, -1 }, + { 1, 0, -2, -3, -1 }, + { 0, 1, 0, -4, -1 }, + { 1, -2, 2, -2, 1 }, + { 0, 1, -2, 1, -1 }, + { 1, -1, 0, 0, 2 }, + { 2, 0, 0, 1, 0 }, + { 1, -2, 0, 2, 0 }, + { 1, 2, -2, -2, -1 }, + { 0, 0, 4, -4, 1 }, + + /* 381-390 */ + { 0, 1, 2, 4, 2 }, + { 0, 1, -4, 2, -2 }, + { 3, 0, -2, 0, 0 }, + { 2, -1, 2, 2, 1 }, + { 0, 1, -2, -4, -1 }, + { 4, 0, 2, 2, 2 }, + { 2, 0, -2, -3, -2 }, + { 2, 0, 0, -6, 0 }, + { 1, 0, 2, 0, 3 }, + { 3, 1, 0, 0, 0 }, + + /* 391-400 */ + { 3, 0, 0, -4, 1 }, + { 1, -1, 2, 0, 0 }, + { 1, -1, 0, -4, 0 }, + { 2, 0, -2, 2, -2 }, + { 1, 1, 0, -2, 2 }, + { 4, 0, 0, -2, 0 }, + { 2, 2, 0, -2, 0 }, + { 0, 1, 2, 0, 0 }, + { 1, 1, 0, -4, 1 }, + { 1, 0, 0, -4, -2 }, + + /* 401-410 */ + { 0, 0, 0, 1, 2 }, + { 3, 0, 0, 2, 1 }, + { 1, 1, 0, -4, -1 }, + { 0, 0, 2, 2, -1 }, + { 1, 1, 2, 0, 0 }, + { 1, -1, 2, -4, 1 }, + { 1, 1, 0, 0, 2 }, + { 0, 0, 2, 6, 2 }, + { 4, 0, -2, -2, -1 }, + { 2, 1, 0, -4, -1 }, + + /* 411-420 */ + { 0, 0, 0, 3, 1 }, + { 1, -1, -2, 0, 0 }, + { 0, 0, 2, 1, 0 }, + { 1, 0, 0, 2, -2 }, + { 3, -1, 2, 2, 2 }, + { 3, -1, 2, -2, 2 }, + { 1, 0, 0, -1, 2 }, + { 1, -2, 2, -2, 2 }, + { 0, 1, 0, 2, 2 }, + { 0, 1, -2, -1, -2 }, + + /* 421-430 */ + { 1, 1, -2, 0, 0 }, + { 0, 2, 2, -2, 0 }, + { 3, -1, -2, -1, -2 }, + { 1, 0, 0, -6, 0 }, + { 1, 0, -2, -4, 0 }, + { 2, 1, 0, -4, 1 }, + { 2, 0, 2, 0, -1 }, + { 2, 0, -4, 0, -1 }, + { 0, 0, 3, 0, 2 }, + { 2, 1, -2, -2, -1 }, + + /* 431-440 */ + { 1, -2, 0, 0, 1 }, + { 2, -1, 0, -4, 0 }, + { 0, 0, 0, 3, 0 }, + { 5, 0, 2, -2, 2 }, + { 1, 2, -2, -4, -2 }, + { 1, 0, 4, -4, 2 }, + { 0, 0, 4, -1, 2 }, + { 3, 1, 0, -4, 0 }, + { 3, 0, 0, -6, 0 }, + { 2, 0, 0, 2, 2 }, + + /* 441-450 */ + { 2, -2, 2, 0, 2 }, + { 1, 0, 0, -3, 1 }, + { 1, -2, -2, 0, -2 }, + { 1, -1, -2, -3, -2 }, + { 0, 0, 2, -2, -2 }, + { 2, 0, -2, -4, 0 }, + { 1, 0, -4, 0, 0 }, + { 0, 1, 0, -1, 0 }, + { 4, 0, 0, 0, -1 }, + { 3, 0, 2, -1, 2 }, + + /* 451-460 */ + { 3, -1, 2, 0, 1 }, + { 2, 0, 2, -1, 1 }, + { 1, 2, 2, -2, 1 }, + { 1, 1, 0, 2, -1 }, + { 0, 2, 2, 0, 1 }, + { 3, 1, 2, 0, 1 }, + { 1, 1, 2, 1, 1 }, + { 1, 1, 0, -1, 1 }, + { 1, -2, 0, -2, -1 }, + { 4, 0, 0, -4, 0 }, + + /* 461-470 */ + { 2, 1, 0, 2, 0 }, + { 1, -1, 0, 4, 0 }, + { 0, 1, 0, -2, 2 }, + { 0, 0, 2, 0, -2 }, + { 1, 0, -1, 0, 1 }, + { 3, 0, 2, -2, 0 }, + { 2, 0, 2, 2, 0 }, + { 1, 2, 0, -4, 0 }, + { 1, -1, 0, -3, 0 }, + { 0, 1, 0, 4, 0 }, + + /* 471 - 480 */ + { 0, 1, -2, 0, 0 }, + { 2, 2, 2, -2, 2 }, + { 0, 0, 0, 1, -2 }, + { 0, 2, -2, 0, -1 }, + { 4, 0, 2, -4, 2 }, + { 2, 0, -4, 2, -2 }, + { 2, -1, -2, 0, -2 }, + { 1, 1, 4, -2, 2 }, + { 1, 1, 2, -4, 2 }, + { 1, 0, 2, 3, 2 }, + + /* 481-490 */ + { 1, 0, 0, 4, -1 }, + { 0, 0, 0, 4, 2 }, + { 2, 0, 0, 4, 0 }, + { 1, 1, -2, 2, 0 }, + { 2, 1, 2, 1, 2 }, + { 2, 1, 2, -4, 1 }, + { 2, 0, 2, 1, 1 }, + { 2, 0, -4, -2, -1 }, + { 2, 0, -2, -6, -1 }, + { 2, -1, 2, -1, 2 }, + + /* 491-500 */ + { 1, -2, 2, 0, 1 }, + { 1, -2, 0, -2, 1 }, + { 1, -1, 0, -4, -1 }, + { 0, 2, 2, 2, 2 }, + { 0, 2, -2, -4, -2 }, + { 0, 1, 2, 3, 2 }, + { 0, 1, 0, -4, 1 }, + { 3, 0, 0, -2, 1 }, + { 2, 1, -2, 0, 1 }, + { 2, 0, 4, -2, 1 }, + + /* 501-510 */ + { 2, 0, 0, -3, -1 }, + { 2, -2, 0, -2, 1 }, + { 2, -1, 2, -2, 1 }, + { 1, 0, 0, -6, -1 }, + { 1, -2, 0, 0, -1 }, + { 1, -2, -2, -2, -1 }, + { 0, 1, 4, -2, 1 }, + { 0, 0, 2, 3, 1 }, + { 2, -1, 0, -1, 0 }, + { 1, 3, 0, -2, 0 }, + + /* 511-520 */ + { 0, 3, 0, -2, 0 }, + { 2, -2, 2, -2, 2 }, + { 0, 0, 4, -2, 0 }, + { 4, -1, 2, 0, 2 }, + { 2, 2, -2, -4, -2 }, + { 4, 1, 2, 0, 2 }, + { 4, -1, -2, -2, -2 }, + { 2, 1, 0, -2, -2 }, + { 2, 1, -2, -6, -2 }, + { 2, 0, 0, -1, 1 }, + + /* 521-530 */ + { 2, -1, -2, 2, -1 }, + { 1, 1, -2, 2, -2 }, + { 1, 1, -2, -3, -2 }, + { 1, 0, 3, 0, 3 }, + { 1, 0, -2, 1, 1 }, + { 1, 0, -2, 0, 2 }, + { 1, -1, 2, 1, 2 }, + { 1, -1, 0, 0, -2 }, + { 1, -1, -4, 2, -2 }, + { 0, 3, -2, -2, -2 }, + + /* 531-540 */ + { 0, 1, 0, 4, 1 }, + { 0, 0, 4, 2, 2 }, + { 3, 0, -2, -2, 0 }, + { 2, -2, 0, 0, 0 }, + { 1, 1, 2, -4, 0 }, + { 1, 1, 0, -3, 0 }, + { 1, 0, 2, -3, 0 }, + { 1, -1, 2, -2, 0 }, + { 0, 2, 0, 2, 0 }, + { 0, 0, 2, 4, 0 }, + + /* 541-550 */ + { 1, 0, 1, 0, 0 }, + { 3, 1, 2, -2, 1 }, + { 3, 0, 4, -2, 2 }, + { 3, 0, 2, 1, 2 }, + { 3, 0, 0, 2, -1 }, + { 3, 0, 0, 0, 2 }, + { 3, 0, -2, 2, -1 }, + { 2, 0, 4, -4, 2 }, + { 2, 0, 2, -3, 2 }, + { 2, 0, 0, 4, 1 }, + + /* 551-560 */ + { 2, 0, 0, -3, 1 }, + { 2, 0, -4, 2, -1 }, + { 2, 0, -2, -2, 1 }, + { 2, -2, 2, 2, 2 }, + { 2, -2, 0, -2, -2 }, + { 2, -1, 0, 2, 1 }, + { 2, -1, 0, 2, -1 }, + { 1, 1, 2, 4, 2 }, + { 1, 1, 0, 1, 1 }, + { 1, 1, 0, 1, -1 }, + + /* 561-570 */ + { 1, 1, -2, -6, -2 }, + { 1, 0, 0, -3, -1 }, + { 1, 0, -4, -2, -1 }, + { 1, 0, -2, -6, -1 }, + { 1, -2, 2, 2, 1 }, + { 1, -2, -2, 2, -1 }, + { 1, -1, -2, -4, -1 }, + { 0, 2, 0, 0, 2 }, + { 0, 1, 2, -4, 2 }, + { 0, 1, -2, 4, -1 }, + + /* 571-580 */ + { 5, 0, 0, 0, 0 }, + { 3, 0, 0, -3, 0 }, + { 2, 2, 0, -4, 0 }, + { 1, -1, 2, 2, 0 }, + { 0, 1, 0, 3, 0 }, + { 4, 0, -2, 0, -1 }, + { 3, 0, -2, -6, -1 }, + { 3, 0, -2, -1, -1 }, + { 2, 1, 2, 2, 1 }, + { 2, 1, 0, 2, 1 }, + + /* 581-590 */ + { 2, 0, 2, 4, 1 }, + { 2, 0, 2, -6, 1 }, + { 2, 0, 2, -2, -1 }, + { 2, 0, 0, -6, -1 }, + { 2, -1, -2, -2, -1 }, + { 1, 2, 2, 0, 1 }, + { 1, 2, 0, 0, 1 }, + { 1, 0, 4, 0, 1 }, + { 1, 0, 2, -6, 1 }, + { 1, 0, 2, -4, -1 }, + + /* 591-600 */ + { 1, 0, -1, -2, -1 }, + { 1, -1, 2, 4, 1 }, + { 1, -1, 2, -3, 1 }, + { 1, -1, 0, 4, 1 }, + { 1, -1, -2, 1, -1 }, + { 0, 1, 2, -2, 3 }, + { 3, 0, 0, -2, 0 }, + { 1, 0, 1, -2, 0 }, + { 0, 2, 0, -4, 0 }, + { 0, 0, 2, -4, 0 }, + + /* 601-610 */ + { 0, 0, 1, -1, 0 }, + { 0, 0, 0, 6, 0 }, + { 0, 2, 0, 0, -2 }, + { 0, 1, -2, 2, -3 }, + { 4, 0, 0, 2, 0 }, + { 3, 0, 0, -1, 0 }, + { 3, -1, 0, 2, 0 }, + { 2, 1, 0, 1, 0 }, + { 2, 1, 0, -6, 0 }, + { 2, -1, 2, 0, 0 }, + + /* 611-620 */ + { 1, 0, 2, -1, 0 }, + { 1, -1, 0, 1, 0 }, + { 1, -1, -2, -2, 0 }, + { 0, 1, 2, 2, 0 }, + { 0, 0, 2, -3, 0 }, + { 2, 2, 0, -2, -1 }, + { 2, -1, -2, 0, 1 }, + { 1, 2, 2, -4, 1 }, + { 0, 1, 4, -4, 2 }, + { 0, 0, 0, 3, 2 }, + + /* 621-630 */ + { 5, 0, 2, 0, 1 }, + { 4, 1, 2, -2, 2 }, + { 4, 0, -2, -2, 0 }, + { 3, 1, 2, 2, 2 }, + { 3, 1, 0, -2, 0 }, + { 3, 1, -2, -6, -2 }, + { 3, 0, 0, 0, -2 }, + { 3, 0, -2, -4, -2 }, + { 3, -1, 0, -3, 0 }, + { 3, -1, 0, -2, 0 }, + + /* 631-640 */ + { 2, 1, 2, 0, 0 }, + { 2, 1, 2, -4, 2 }, + { 2, 1, 2, -2, 0 }, + { 2, 1, 0, -3, 0 }, + { 2, 1, -2, 0, -2 }, + { 2, 0, 0, -4, 2 }, + { 2, 0, 0, -4, -2 }, + { 2, 0, -2, -5, -2 }, + { 2, -1, 2, 4, 2 }, + { 2, -1, 0, -2, 2 }, + + /* 641-650 */ + { 1, 3, -2, -2, -2 }, + { 1, 1, 0, 0, -2 }, + { 1, 1, 0, -6, 0 }, + { 1, 1, -2, 1, -2 }, + { 1, 1, -2, -1, -2 }, + { 1, 0, 2, 1, 0 }, + { 1, 0, 0, 3, 0 }, + { 1, 0, 0, -4, 2 }, + { 1, 0, -2, 4, -2 }, + { 1, -2, 0, -1, 0 }, + + /* 651-NFLS */ + { 0, 1, -4, 2, -1 }, + { 1, 0, -2, 0, -3 }, + { 0, 0, 4, -4, 4 } + }; + +/* Number of frequencies: luni-solar */ + static const int NFLS = (int) (sizeof mfals / sizeof (int) / 5); + +/* Fundamental-argument multipliers: planetary terms */ + static const int mfapl[][14] = { + + /* 1-10 */ + { 0, 0, 1, -1, 1, 0, 0, -1, 0, -2, 5, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 1, -1, 1, 0, -8, 12, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, -1, 2, 0, 0, 0, 0, 0 }, + + /* 11-20 */ + { 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, 2, -5, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 3, 0, -1, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, -8, 3, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 6, -8, 3, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 }, + + /* 21-30 */ + { 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 1, 0, 0, -4, 8, -3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 1, -1, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0 }, + { 2, 0, 0, -2, -1, 0, 0, -2, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1 }, + { 2, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 }, + + /* 31-40 */ + { 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 1 }, + { 2, 0, 0, -2, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0 }, + + /* 41-50 */ + { 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 1, -1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 2 }, + { 1, 0, 0, 0, 0, 0,-18, 16, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2 }, + + /* 51-60 */ + { 0, 0, 1, -1, 1, 0, -5, 7, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 0, 0, 0, 0,-10, 3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 0, 0, -5, 6, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, 0, 2 }, + { 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1 }, + { 1, 0, -2, 0, -2, 0, 0, 4, -8, 3, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 2, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0 }, + + /* 61-70 */ + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, -2 }, + { 0, 0, 1, -1, 1, 0, 0, 3, -8, 3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 8,-11, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0 }, + + /* 71-80 */ + { 0, 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 3, 0, -2, 0, 0, 0, 2 }, + { 0, 0, 1, -1, 1, 0, 0, -5, 8, -3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 0 }, + + /* 81-90 */ + { 2, 0, 0, -2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, -1 }, + { 2, 0, 0, -2, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 8,-13, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, 5, 0, 0, 0 }, + { 1, 0, 0, -1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2 }, + { 1, 0, 0, 0, -1, 0,-18, 16, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, -5, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0 }, + + /* 91-100 */ + { 1, 0, 0, -2, 0, 0, 19,-21, 3, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, -8, 13, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 7, -9, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2 }, + { 1, 0, 0, 0, 1, 0,-18, 16, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 6,-16, 4, 5, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 3, -7, 0, 0, 0, 0, 0, -2 }, + + /* 101-110 */ + { 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1 }, + { 2, 0, 0, -2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0 }, + { 2, 0, 0, -2, -1, 0, 0, -2, 0, 3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2 }, + + /* 111-120 */ + { 0, 0, 0, 0, 1, 0, 0, 1, -2, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2 }, + { 0, 0, 2, -2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0 }, + { 2, 0, 0, -2, 0, 0, -6, 8, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0 }, + + /* 121-130 */ + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 8,-10, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 1, -1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, -2 }, + { 1, 0, 0, -1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0 }, + + /* 131-140 */ + { 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 4, 0, -3, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 1, 0, 2, -3, 0, 0, 0, 0, 0, 0 }, + + /* 141-150 */ + { 1, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 9,-11, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, -4, 5, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, 0, 0, 0, 2 }, + + /* 151-160 */ + { 1, 0, 0, -1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, -4, 10, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, -2 }, + { 0, 0, 2, -2, 1, 0, -4, 4, 0, 0, 0, 0, 0, 0 }, + + /* 161-170 */ + { 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 2 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 2, 0 }, + { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 0, -9, 13, 0, 0, 0, 0, 0 }, + { 2, 0, 2, 0, 2, 0, 0, 2, 0, -3, 0, 0, 0, 0 }, + + /* 171-180 */ + { 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 1, -1, 2, 0, 0, -1, 0, 0, 2, 0, 0, 0 }, + { 1, 0, 0, -1, -1, 0, -3, 4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1 }, + { 1, 0, 2, 0, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0 }, + { 1, 0, -2, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, -2, 4, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0 }, + + /* 181-190 */ + { 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, -8, 3, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 6,-10, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 7, -8, 3, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 1, 0, -3, 5, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, -5, 7, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 1 }, + + /* 191-200 */ + { 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 7,-10, 0, 0, 0, 0, 0, -2 }, + { 1, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, -5, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 1, -1, 1, 0, 0, -9, 15, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0 }, + + /* 201-210 */ + { 0, 0, 0, 0, 0, 0, 0, 1, -4, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 2 }, + { 2, 0, 0, -2, 1, 0, -6, 8, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 1, -1, 1, 0, 3, -6, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 8,-14, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 }, + + /* 211-220 */ + { 0, 0, 0, 0, 1, 0, 0, 8,-15, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 0, 0 }, + { 2, 0, 0, -2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2 }, + { 2, 0, -1, -1, 0, 0, 0, 3, -7, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0 }, + + /* 221-230 */ + { 2, 0, 0, -2, 0, 0, 0, -6, 8, 0, 0, 0, 0, 0 }, + { 2, 0, 0, -2, 0, 0, 0, -5, 6, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 3, -9, 4, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, -2 }, + + /* 231-240 */ + { 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 }, + { 0, 0, 0, 0, 0, 0, 7,-11, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 3, -5, 4, 0, 0, 0, 0, 2 }, + { 0, 0, 1, -1, 0, 0, 0, -1, 0, -1, 1, 0, 0, 0 }, + { 2, 0, 0, 0, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, -2 }, + { 0, 0, 1, -1, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, -1 }, + + /* 241-250 */ + { 0, 0, 1, -1, 1, 0, 0, -1, 0, -1, 1, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -8, 3, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 2, -4, 0, -3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 3, -5, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 3, 0, -3, 0, 0, 0, 2 }, + { 0, 0, 2, -2, 2, 0, -8, 11, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 0 }, + + /* 251-260 */ + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 7, -9, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0 }, + { 1, 0, -2, -2, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 5, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 1 }, + + /* 261-270 */ + { 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -5, 0, 0, 2 }, + { 2, 0, 0, -2, -1, 0, 0, -2, 0, 0, 5, 0, 0, 0 }, + { 2, 0, 0, -2, -1, 0, -6, 8, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 0, -2, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, -5, 0, 0, 2 }, + { 0, 0, 0, 0, 1, 0, 3, -7, 4, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0 }, + + /* 271-280 */ + { 0, 0, 1, -1, 0, 0, 0, -1, 0, -2, 5, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 3, 0, -3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 6,-15, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 2 }, + { 1, 0, 0, -1, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, -3, 7, -4, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 5, 0, -2, 0, 0, 0, 2 }, + + /* 281-290 */ + { 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 2, -2, 2, 0, -5, 6, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 6,-11, 0, 0, 0, 0, -2 }, + + /* 291-300 */ + { 0, 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, -2 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, 3, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 9,-12, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 1, -1, 0, 0, -8, 12, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, -1 }, + + /* 301-310 */ + { 0, 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 1, -1, -1, 0, 0, 0, -2, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, -5, 0, 0, 0, 0, -2 }, + { 2, 0, 0, -2, 0, 0, 0, -2, 0, 3, -1, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 2 }, + + /* 311-320 */ + { 0, 0, 0, 0, 0, 0, 9, -9, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 3, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 1 }, + { 0, 0, 1, -1, 2, 0, 0, -1, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2 }, + { 0, 0, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0 }, + + /* 321-330 */ + { 0, 0, 2, 0, 2, 0, 0, -4, 8, -3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 5, 0, -3, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 }, + { 2, 0, -1, -1, -1, 0, 0, -1, 0, 3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 5,-10, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 2, -2, 1, -1, 0, 2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 2, 0, 0 }, + + /* 331-340 */ + { 0, 0, 0, 0, 1, 0, 3, -5, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 0, -2, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 9, -9, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 0, -8, 11, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 0, -2, 0, 0, 2, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, -1, 2, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 2, -6, 0, 0, 0, 0, 0, -2 }, + + /* 341-350 */ + { 0, 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -2, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 7,-13, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 3, 0, -2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 2 }, + { 0, 0, 2, -2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 8,-10, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 1 }, + + /* 351-360 */ + { 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0 }, + { 2, 0, 0, -2, -1, 0, 0, -5, 6, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0, 0, -2 }, + { 2, 0, -1, -1, -1, 0, 0, 3, -7, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0 }, + { 0, 0, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0 }, + + /* 361-370 */ + { 2, 0, 0, -2, 0, 0, 0, -2, 0, 4, -3, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 6,-11, 0, 0, 0, 0, 0 }, + { 2, 0, 0, -2, 1, 0, 0, -6, 8, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -8, 1, 5, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 6, -5, 0, 0, 0, 0, 2 }, + { 1, 0, -2, -2, -2, 0, -3, 3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 2, 0, 0, -4, 8, -3, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1 }, + + /* 371-380 */ + { 0, 0, 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, -2, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 0, 1, -6, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 3, -5, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 7,-13, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 2 }, + + /* 381-390 */ + { 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, -8, 15, 0, 0, 0, 0, 0 }, + { 2, 0, 0, -2, -2, 0, -3, 3, 0, 0, 0, 0, 0, 0 }, + { 2, 0, -1, -1, -1, 0, 0, -1, 0, 2, 0, 0, 0, 0 }, + { 1, 0, 2, -2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0 }, + { 1, 0, -1, 1, -1, 0,-18, 17, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, 0, 2, 0, 0, 1, 0, -1, 0, 0, 0, 0 }, + { 0, 0, 2, 0, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0 }, + { 0, 0, 2, -2, -1, 0, -5, 6, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0 }, + + /* 391-400 */ + { 0, 0, 0, 0, 1, 0, 2, -2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 8,-16, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 }, + { 0, 0, 0, 0, 2, 0, 0, -1, 2, 0, 0, 0, 0, 0 }, + { 2, 0, -1, -1, -2, 0, 0, -1, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 6,-10, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, -2, 4, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2 }, + { 2, 0, 0, -2, -1, 0, 0, -2, 0, 4, -5, 0, 0, 0 }, + + /* 401-410 */ + { 2, 0, 0, -2, -1, 0, -3, 3, 0, 0, 0, 0, 0, 0 }, + { 2, 0, -1, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 0, -1, -1, 0, 0, -2, 2, 0, 0, 0, 0, 0 }, + { 1, 0, -1, -1, -1, 0, 20,-20, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 5, -8, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0 }, + + /* 411-420 */ + { 0, 0, 0, 0, 0, 0, 9,-11, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, -2, 0, 0, 0 }, + { 0, 0, 1, -1, 2, 0, 0, -1, 0, -2, 5, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0 }, + + /* 421-430 */ + { 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, -6, 0, 0, 0, 0, -2 }, + { 1, 0, 0, -2, 0, 0, 20,-21, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 8,-12, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 2, 0, 0, -1, 0, -1, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 8,-12, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 9,-17, 0, 0, 0, 0, 0 }, + + /* 431-440 */ + { 0, 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -8, 1, 5, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, -7, 0, 0, 0, 0, -2 }, + { 1, 0, 0, -1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0 }, + { 1, 0, -2, 0, -2, 0,-10, 3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, -9, 17, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 1, -4, 0, 0, 0, 0, 0, -2 }, + { 1, 0, -2, -2, -2, 0, 0, -2, 0, 3, 0, 0, 0, 0 }, + { 1, 0, -1, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0 }, + + /* 441-450 */ + { 0, 0, 2, -2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 2, 0, 0, -1, 0, 0, 1, 0, 0, 0 }, + { 0, 0, 1, -1, 2, 0, -5, 7, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 5,-10, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, -5, 0, 0, 0, -2 }, + + /* 451-460 */ + { 0, 0, 0, 0, 0, 0, 0, 1, 0, -5, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 5, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 1 }, + { 1, 0, 0, -2, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 3, -7, 4, 0, 0, 0, 0, 0 }, + { 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, 1, 0, -2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 6,-10, 0, 0, 0, 0, -2 }, + + /* 461-470 */ + { 1, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 0, -4, 8, -3, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 0, -3, 0, 3, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, -5, 5, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 1, -3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, -4, 6, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0 }, + { 0, 0, 1, -1, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0 }, + + /* 471-480 */ + { 0, 0, 0, 0, 1, 0, 3, -4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 7,-10, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 3, -8, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 7, -9, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 2 }, + + /* 481-490 */ + { 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -8, 3, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1 }, + { 2, 0, 0, -2, -1, 0, 0, -6, 8, 0, 0, 0, 0, 0 }, + { 2, 0, -1, -1, 1, 0, 0, 3, -7, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 0, -7, 9, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, -1 }, + + /* 491-500 */ + { 0, 0, 1, -1, 2, 0, -8, 12, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 }, + { 1, 0, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0 }, + { 2, 0, 0, -2, 1, 0, 0, -5, 6, 0, 0, 0, 0, 0 }, + { 2, 0, 0, -2, -1, 0, 0, -2, 0, 3, -1, 0, 0, 0 }, + { 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 0, -2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0 }, + { 1, 0, 0, -2, -1, 0, 0, -2, 0, 2, 0, 0, 0, 0 }, + + /* 501-510 */ + { 1, 0, 0, -1, -1, 0, 0, -3, 4, 0, 0, 0, 0, 0 }, + { 1, 0, -1, 0, -1, 0, -3, 5, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 0, -4, 4, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, -8, 11, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 0, 0, 0, -9, 13, 0, 0, 0, 0, 0 }, + { 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, 1, -4, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, 0, -1, 0, 1, -3, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, 7,-13, 0, 0, 0, 0, 0 }, + + /* 511-520 */ + { 0, 0, 0, 0, 1, 0, 0, 2, 0, -2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 7,-11, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 1 }, + + /* 521-530 */ + { 0, 0, 0, 0, 0, 0, 1, -4, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 9,-17, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0 }, + { 2, 0, 0, -2, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 }, + + /* 531-540 */ + { 2, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 }, + { 1, 0, 0, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 }, + { 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 0, -2, 0, 0, 17,-16, 0, -2, 0, 0, 0, 0 }, + { 1, 0, 0, -1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 3, 0, -4, 0, 0, 0, 0 }, + + /* 541-550 */ + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2 }, + { 2, 0, 0, -2, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0 }, + { 2, 0, 0, -2, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0 }, + { 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 }, + { 1, 0, 0, 0, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 0, -2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 0, -2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 }, + { 1, 0, 0, -2, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 }, + + /* 551-560 */ + { 1, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, -4, 5, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 2, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 }, + + /* 561-570 */ + { 0, 0, 0, 0, 0, 0, 8, -9, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0 }, + { 2, 0, -2, -2, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0 }, + { 1, 0, 0, 0, 1, 0,-10, 3, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 0, 0, -1, 0,-10, 3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, 0, 2, 0, 2, -3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0 }, + + /* 571-580 */ + { 0, 0, 2, 0, 2, 0, -2, 3, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0 }, + { 2, 0, 2, -2, 2, 0, 0, -2, 0, 3, 0, 0, 0, 0 }, + { 2, 0, 1, -3, 1, 0, -6, 7, 0, 0, 0, 0, 0, 0 }, + { 2, 0, 0, -2, 0, 0, 2, -5, 0, 0, 0, 0, 0, 0 }, + { 2, 0, 0, -2, 0, 0, 0, -2, 0, 5, -5, 0, 0, 0 }, + { 2, 0, 0, -2, 0, 0, 0, -2, 0, 1, 5, 0, 0, 0 }, + { 2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 5, 0, 0, 0 }, + + /* 581-590 */ + { 2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0 }, + { 2, 0, 0, -2, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0 }, + { 2, 0, -2, 0, -2, 0, 0, 5, -9, 0, 0, 0, 0, 0 }, + { 2, 0, -1, -1, 0, 0, 0, -1, 0, 3, 0, 0, 0, 0 }, + { 1, 0, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0 }, + { 1, 0, 2, 0, 2, 0, 0, -4, 8, -3, 0, 0, 0, 0 }, + { 1, 0, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 2, -2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0 }, + { 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 }, + + /* 591-600 */ + { 1, 0, 0, 0, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 }, + { 1, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 }, + { 1, 0, -2, -2, -2, 0, 0, 1, 0, -1, 0, 0, 0, 0 }, + { 1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 }, + { 1, 0, -1, -1, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0 }, + { 0, 0, 2, 2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 0, -2, 0, 1, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 1, 0, 0,-10, 15, 0, 0, 0, 0, 0 }, + { 0, 0, 2, -2, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0 }, + + /* 601-610 */ + { 0, 0, 1, -1, 2, 0, 0, -1, 0, 0, -1, 0, 0, 0 }, + { 0, 0, 1, -1, 2, 0, -3, 4, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, -4, 6, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 1, -1, -1, 0, -5, 7, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 }, + + /* 611-620 */ + { 0, 0, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 2, 0, -3, 5, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 9,-13, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 8,-14, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 8,-11, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, -2 }, + + /* 621-630 */ + { 0, 0, 0, 0, 0, 0, 5, -6, -4, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 3, -3, 0, 2, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 7,-12, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, -2 }, + + /* 631-640 */ + { 0, 0, 0, 0, 0, 0, 0, 6, -8, 1, 5, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 6,-10, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 5, 0, -4, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, -1 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 5,-16, 4, 5, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 5,-13, 0, 0, 0, 0, -2 }, + + /* 641-650 */ + { 0, 0, 0, 0, 0, 0, 0, 3, 0, -5, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -9, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 3, -7, 0, 0, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -3, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 2, -8, 1, 5, 0, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -5, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -3, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 5, 0, 0, 0 }, + + /* 651-NFPL */ + { 0, 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -6, 3, 0, -2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 } + }; + +/* Number of frequencies: planetary */ + static const int NFPL = (int) (sizeof mfapl / sizeof (int) / 14); + +/* Pointers into amplitudes array, one pointer per frequency */ + static const int nc[] = { + + /* 1-100 */ + 1, 21, 37, 51, 65, 79, 91, 103, 115, 127, + 139, 151, 163, 172, 184, 196, 207, 219, 231, 240, + 252, 261, 273, 285, 297, 309, 318, 327, 339, 351, + 363, 372, 384, 396, 405, 415, 423, 435, 444, 452, + 460, 467, 474, 482, 490, 498, 506, 513, 521, 528, + 536, 543, 551, 559, 566, 574, 582, 590, 597, 605, + 613, 620, 628, 636, 644, 651, 658, 666, 674, 680, + 687, 695, 702, 710, 717, 725, 732, 739, 746, 753, + 760, 767, 774, 782, 790, 798, 805, 812, 819, 826, + 833, 840, 846, 853, 860, 867, 874, 881, 888, 895, + + /* 101-200 */ + 901, 908, 914, 921, 928, 934, 941, 948, 955, 962, + 969, 976, 982, 989, 996, 1003, 1010, 1017, 1024, 1031, + 1037, 1043, 1050, 1057, 1064, 1071, 1078, 1084, 1091, 1098, + 1104, 1112, 1118, 1124, 1131, 1138, 1145, 1151, 1157, 1164, + 1171, 1178, 1185, 1192, 1199, 1205, 1212, 1218, 1226, 1232, + 1239, 1245, 1252, 1259, 1266, 1272, 1278, 1284, 1292, 1298, + 1304, 1310, 1316, 1323, 1329, 1335, 1341, 1347, 1353, 1359, + 1365, 1371, 1377, 1383, 1389, 1396, 1402, 1408, 1414, 1420, + 1426, 1434, 1440, 1446, 1452, 1459, 1465, 1471, 1477, 1482, + 1488, 1493, 1499, 1504, 1509, 1514, 1520, 1527, 1532, 1538, + + /* 201-300 */ + 1543, 1548, 1553, 1558, 1564, 1569, 1574, 1579, 1584, 1589, + 1594, 1596, 1598, 1600, 1602, 1605, 1608, 1610, 1612, 1617, + 1619, 1623, 1625, 1627, 1629, 1632, 1634, 1640, 1642, 1644, + 1646, 1648, 1650, 1652, 1654, 1658, 1660, 1662, 1664, 1668, + 1670, 1672, 1673, 1675, 1679, 1681, 1683, 1684, 1686, 1688, + 1690, 1693, 1695, 1697, 1701, 1703, 1705, 1707, 1709, 1711, + 1712, 1715, 1717, 1721, 1723, 1725, 1727, 1729, 1731, 1733, + 1735, 1737, 1739, 1741, 1743, 1745, 1747, 1749, 1751, 1753, + 1755, 1757, 1759, 1761, 1762, 1764, 1766, 1768, 1769, 1771, + 1773, 1775, 1777, 1779, 1781, 1783, 1785, 1787, 1788, 1790, + + /* 301-400 */ + 1792, 1794, 1796, 1798, 1800, 1802, 1804, 1806, 1807, 1809, + 1811, 1815, 1817, 1819, 1821, 1823, 1825, 1827, 1829, 1831, + 1833, 1835, 1837, 1839, 1840, 1842, 1844, 1848, 1850, 1852, + 1854, 1856, 1858, 1859, 1860, 1862, 1864, 1866, 1868, 1869, + 1871, 1873, 1875, 1877, 1879, 1881, 1883, 1885, 1887, 1889, + 1891, 1892, 1896, 1898, 1900, 1901, 1903, 1905, 1907, 1909, + 1910, 1911, 1913, 1915, 1919, 1921, 1923, 1927, 1929, 1931, + 1933, 1935, 1937, 1939, 1943, 1945, 1947, 1948, 1949, 1951, + 1953, 1955, 1957, 1958, 1960, 1962, 1964, 1966, 1968, 1970, + 1971, 1973, 1974, 1975, 1977, 1979, 1980, 1981, 1982, 1984, + + /* 401-500 */ + 1986, 1988, 1990, 1992, 1994, 1995, 1997, 1999, 2001, 2003, + 2005, 2007, 2008, 2009, 2011, 2013, 2015, 2017, 2019, 2021, + 2023, 2024, 2025, 2027, 2029, 2031, 2033, 2035, 2037, 2041, + 2043, 2045, 2046, 2047, 2049, 2051, 2053, 2055, 2056, 2057, + 2059, 2061, 2063, 2065, 2067, 2069, 2070, 2071, 2072, 2074, + 2076, 2078, 2080, 2082, 2084, 2086, 2088, 2090, 2092, 2094, + 2095, 2096, 2097, 2099, 2101, 2105, 2106, 2107, 2108, 2109, + 2110, 2111, 2113, 2115, 2119, 2121, 2123, 2125, 2127, 2129, + 2131, 2133, 2135, 2136, 2137, 2139, 2141, 2143, 2145, 2147, + 2149, 2151, 2153, 2155, 2157, 2159, 2161, 2163, 2165, 2167, + + /* 501-600 */ + 2169, 2171, 2173, 2175, 2177, 2179, 2181, 2183, 2185, 2186, + 2187, 2188, 2192, 2193, 2195, 2197, 2199, 2201, 2203, 2205, + 2207, 2209, 2211, 2213, 2217, 2219, 2221, 2223, 2225, 2227, + 2229, 2231, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, + 2241, 2244, 2246, 2248, 2250, 2252, 2254, 2256, 2258, 2260, + 2262, 2264, 2266, 2268, 2270, 2272, 2274, 2276, 2278, 2280, + 2282, 2284, 2286, 2288, 2290, 2292, 2294, 2296, 2298, 2300, + 2302, 2303, 2304, 2305, 2306, 2307, 2309, 2311, 2313, 2315, + 2317, 2319, 2321, 2323, 2325, 2327, 2329, 2331, 2333, 2335, + 2337, 2341, 2343, 2345, 2347, 2349, 2351, 2352, 2355, 2356, + + /* 601-700 */ + 2357, 2358, 2359, 2361, 2363, 2364, 2365, 2366, 2367, 2368, + 2369, 2370, 2371, 2372, 2373, 2374, 2376, 2378, 2380, 2382, + 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, + 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, + 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, + 2414, 2415, 2417, 2418, 2430, 2438, 2445, 2453, 2460, 2468, + 2474, 2480, 2488, 2496, 2504, 2512, 2520, 2527, 2535, 2543, + 2550, 2558, 2566, 2574, 2580, 2588, 2596, 2604, 2612, 2619, + 2627, 2634, 2642, 2648, 2656, 2664, 2671, 2679, 2685, 2693, + 2701, 2709, 2717, 2725, 2733, 2739, 2747, 2753, 2761, 2769, + + /* 701-800 */ + 2777, 2785, 2793, 2801, 2809, 2817, 2825, 2833, 2841, 2848, + 2856, 2864, 2872, 2878, 2884, 2892, 2898, 2906, 2914, 2922, + 2930, 2938, 2944, 2952, 2958, 2966, 2974, 2982, 2988, 2996, + 3001, 3009, 3017, 3025, 3032, 3039, 3045, 3052, 3059, 3067, + 3069, 3076, 3083, 3090, 3098, 3105, 3109, 3111, 3113, 3120, + 3124, 3128, 3132, 3136, 3140, 3144, 3146, 3150, 3158, 3161, + 3165, 3166, 3168, 3172, 3176, 3180, 3182, 3185, 3189, 3193, + 3194, 3197, 3200, 3204, 3208, 3212, 3216, 3219, 3221, 3222, + 3226, 3230, 3234, 3238, 3242, 3243, 3247, 3251, 3254, 3258, + 3262, 3266, 3270, 3274, 3275, 3279, 3283, 3287, 3289, 3293, + + /* 801-900 */ + 3296, 3300, 3303, 3307, 3311, 3315, 3319, 3321, 3324, 3327, + 3330, 3334, 3338, 3340, 3342, 3346, 3350, 3354, 3358, 3361, + 3365, 3369, 3373, 3377, 3381, 3385, 3389, 3393, 3394, 3398, + 3402, 3406, 3410, 3413, 3417, 3421, 3425, 3429, 3433, 3435, + 3439, 3443, 3446, 3450, 3453, 3457, 3458, 3461, 3464, 3468, + 3472, 3476, 3478, 3481, 3485, 3489, 3493, 3497, 3501, 3505, + 3507, 3511, 3514, 3517, 3521, 3524, 3525, 3527, 3529, 3533, + 3536, 3540, 3541, 3545, 3548, 3551, 3555, 3559, 3563, 3567, + 3569, 3570, 3574, 3576, 3578, 3582, 3586, 3590, 3593, 3596, + 3600, 3604, 3608, 3612, 3616, 3620, 3623, 3626, 3630, 3632, + + /* 901-1000 */ + 3636, 3640, 3643, 3646, 3648, 3652, 3656, 3660, 3664, 3667, + 3669, 3671, 3675, 3679, 3683, 3687, 3689, 3693, 3694, 3695, + 3699, 3703, 3705, 3707, 3710, 3713, 3717, 3721, 3725, 3729, + 3733, 3736, 3740, 3744, 3748, 3752, 3754, 3757, 3759, 3763, + 3767, 3770, 3773, 3777, 3779, 3783, 3786, 3790, 3794, 3798, + 3801, 3805, 3809, 3813, 3817, 3821, 3825, 3827, 3831, 3835, + 3836, 3837, 3840, 3844, 3848, 3852, 3856, 3859, 3863, 3867, + 3869, 3871, 3875, 3879, 3883, 3887, 3890, 3894, 3898, 3901, + 3905, 3909, 3913, 3917, 3921, 3922, 3923, 3924, 3926, 3930, + 3932, 3936, 3938, 3940, 3944, 3948, 3952, 3956, 3959, 3963, + + /* 1001-1100 */ + 3965, 3969, 3973, 3977, 3979, 3981, 3982, 3986, 3989, 3993, + 3997, 4001, 4004, 4006, 4009, 4012, 4016, 4020, 4024, 4026, + 4028, 4032, 4036, 4040, 4044, 4046, 4050, 4054, 4058, 4060, + 4062, 4063, 4064, 4068, 4071, 4075, 4077, 4081, 4083, 4087, + 4089, 4091, 4095, 4099, 4101, 4103, 4105, 4107, 4111, 4115, + 4119, 4123, 4127, 4129, 4131, 4135, 4139, 4141, 4143, 4145, + 4149, 4153, 4157, 4161, 4165, 4169, 4173, 4177, 4180, 4183, + 4187, 4191, 4195, 4198, 4201, 4205, 4209, 4212, 4213, 4216, + 4217, 4221, 4223, 4226, 4230, 4234, 4236, 4240, 4244, 4248, + 4252, 4256, 4258, 4262, 4264, 4266, 4268, 4270, 4272, 4276, + + /* 1101-1200 */ + 4279, 4283, 4285, 4287, 4289, 4293, 4295, 4299, 4300, 4301, + 4305, 4309, 4313, 4317, 4319, 4323, 4325, 4329, 4331, 4333, + 4335, 4337, 4341, 4345, 4349, 4351, 4353, 4357, 4361, 4365, + 4367, 4369, 4373, 4377, 4381, 4383, 4387, 4389, 4391, 4395, + 4399, 4403, 4407, 4411, 4413, 4414, 4415, 4418, 4419, 4421, + 4423, 4427, 4429, 4431, 4433, 4435, 4437, 4439, 4443, 4446, + 4450, 4452, 4456, 4458, 4460, 4462, 4466, 4469, 4473, 4477, + 4481, 4483, 4487, 4489, 4491, 4493, 4497, 4499, 4501, 4504, + 4506, 4510, 4513, 4514, 4515, 4518, 4521, 4522, 4525, 4526, + 4527, 4530, 4533, 4534, 4537, 4541, 4542, 4543, 4544, 4545, + + /* 1201-1300 */ + 4546, 4547, 4550, 4553, 4554, 4555, 4558, 4561, 4564, 4567, + 4568, 4571, 4574, 4575, 4578, 4581, 4582, 4585, 4586, 4588, + 4590, 4592, 4596, 4598, 4602, 4604, 4608, 4612, 4613, 4616, + 4619, 4622, 4623, 4624, 4625, 4626, 4629, 4632, 4633, 4636, + 4639, 4640, 4641, 4642, 4643, 4644, 4645, 4648, 4649, 4650, + 4651, 4652, 4653, 4656, 4657, 4660, 4661, 4664, 4667, 4670, + 4671, 4674, 4675, 4676, 4677, 4678, 4681, 4682, 4683, 4684, + 4687, 4688, 4689, 4692, 4693, 4696, 4697, 4700, 4701, 4702, + 4703, 4704, 4707, 4708, 4711, 4712, 4715, 4716, 4717, 4718, + 4719, 4720, 4721, 4722, 4723, 4726, 4729, 4730, 4733, 4736, + + /* 1301-(NFLS+NFPL) */ + 4737, 4740, 4741, 4742, 4745, 4746, 4749, 4752, 4753 + }; + +/* Amplitude coefficients (microarcsec); indexed using the nc array. */ + static const double a[] = { + + /* 1-105 */ + -6844318.44, 9205236.26,1328.67,1538.18, 205833.11, + 153041.79, -3309.73, 853.32,2037.98, -2301.27, + 81.46, 120.56, -20.39, -15.22, 1.73, -1.61, -0.10, 0.11, + -0.02, -0.02, -523908.04, 573033.42,-544.75,-458.66, + 12814.01, 11714.49, 198.97,-290.91, 155.74,-143.27, + -2.75, -1.03, -1.27, -1.16, 0.00, -0.01, -90552.22, + 97846.69, 111.23, 137.41,2187.91,2024.68, 41.44, -51.26, + 26.92, -24.46, -0.46, -0.28, -0.22, -0.20, 82168.76, + -89618.24, -27.64, -29.05, -2004.36, -1837.32, + -36.07, 48.00, -24.43, 22.41, 0.47, 0.24, 0.20, 0.18, + 58707.02,7387.02, 470.05,-192.40, 164.33, -1312.21, + -179.73, -28.93, -17.36, -1.83, -0.50, 3.57, 0.00, 0.13, + -20557.78, 22438.42, -20.84, -17.40, 501.82, 459.68, + 59.20, -67.30, 6.08, -5.61, -1.36, -1.19, 28288.28, + -674.99, -34.69, 35.80, -15.07,-632.54, -11.19, 0.78, -8.41, + 0.17, 0.01, 0.07, -15406.85, 20069.50, 15.12, + + /* 106-219 */ + 31.80, 448.76, 344.50, -5.77, 1.41, 4.59, -5.02, 0.17, + 0.24, -11991.74, 12902.66, 32.46, 36.70, 288.49, + 268.14, 5.70, -7.06, 3.57, -3.23, -0.06, -0.04, + -8584.95, -9592.72, 4.42, -13.20,-214.50, 192.06, + 23.87, 29.83, 2.54, 2.40, 0.60, -0.48,5095.50, + -6918.22, 7.19, 3.92,-154.91,-113.94, 2.86, -1.04, + -1.52, 1.73, -0.07, -0.10, -4910.93, -5331.13, + 0.76, 0.40,-119.21, 109.81, 2.16, 3.20, 1.46, 1.33, + 0.04, -0.02, -6245.02,-123.48, -6.68, -8.20, -2.76, + 139.64, 2.71, 0.15, 1.86,2511.85, -3323.89, 1.07, + -0.90, -74.33, -56.17, 1.16, -0.01, -0.75, 0.83, -0.02, + -0.04,2307.58,3143.98, -7.52, 7.50, 70.31, -51.60, 1.46, + 0.16, -0.69, -0.79, 0.02, -0.05,2372.58,2554.51, 5.93, + -6.60, 57.12, -53.05, -0.96, -1.24, -0.71, -0.64, -0.01, + -2053.16,2636.13, 5.13, 7.80, 58.94, 45.91, -0.42, + -0.12, 0.61, -0.66, 0.02, 0.03, -1825.49, + + /* 220-339 */ + -2423.59, 1.23, -2.00, -54.19, 40.82, -1.07, -1.02, + 0.54, 0.61, -0.04, 0.04,2521.07,-122.28, -5.97, 2.90, + -2.73, -56.37, -0.82, 0.13, -0.75, -1534.09,1645.01, + 6.29, 6.80, 36.78, 34.30, 0.92, -1.25, 0.46, -0.41, + -0.02, -0.01,1898.27, 47.70, -0.72, 2.50, 1.07, -42.45, + -0.94, 0.02, -0.56, -1292.02, -1387.00, 0.00, + 0.00, -31.01, 28.89, 0.68, 0.00, 0.38, 0.35, -0.01, + -0.01, -1234.96,1323.81, 5.21, 5.90, 29.60, 27.61, + 0.74, -1.22, 0.37, -0.33, -0.02, -0.01,1137.48, + -1233.89, -0.04, -0.30, -27.59, -25.43, -0.61, 1.00, + -0.34, 0.31, 0.01, 0.01,-813.13, -1075.60, 0.40, + 0.30, -24.05, 18.18, -0.40, -0.01, 0.24, 0.27, -0.01, + 0.01,1163.22, -60.90, -2.94, 1.30, -1.36, -26.01, -0.58, + 0.07, -0.35,1029.70, -55.55, -2.63, 1.10, -1.25, -23.02, + -0.52, 0.06, -0.31,-556.26, 852.85, 3.16, -4.48, 19.06, + 12.44, -0.81, -0.27, 0.17, -0.21, 0.00, 0.02,-603.52, + + /* 340-467 */ + -800.34, 0.44, 0.10, -17.90, 13.49, -0.08, -0.01, 0.18, + 0.20, -0.01, 0.01,-628.24, 684.99, -0.64, -0.50, 15.32, + 14.05, 3.18, -4.19, 0.19, -0.17, -0.09, -0.07,-866.48, + -16.26, 0.52, -1.30, -0.36, 19.37, 0.43, -0.01, 0.26, + -512.37, 695.54, -1.47, -1.40, 15.55, 11.46, -0.16, 0.03, + 0.15, -0.17, 0.01, 0.01, 506.65, 643.75, 2.54, -2.62, + 14.40, -11.33, -0.77, -0.06, -0.15, -0.16, 0.00, 0.01, + 664.57, 16.81, -0.40, 1.00, 0.38, -14.86, -3.71, -0.09, + -0.20, 405.91, 522.11, 0.99, -1.50, 11.67, -9.08, -0.25, + -0.02, -0.12, -0.13,-305.78, 326.60, 1.75, 1.90, 7.30, + 6.84, 0.20, -0.04, 300.99,-325.03, -0.44, -0.50, -7.27, + -6.73, -1.01, 0.01, 0.00, 0.08, 0.00, 0.02, 438.51, + 10.47, -0.56, -0.20, 0.24, -9.81, -0.24, 0.01, -0.13, + -264.02, 335.24, 0.99, 1.40, 7.49, 5.90, -0.27, -0.02, + 284.09, 307.03, 0.32, -0.40, 6.87, -6.35, -0.99, -0.01, + -250.54, 327.11, 0.08, 0.40, 7.31, 5.60, -0.30, 230.72, + + /* 468-595 */ + -304.46, 0.08, -0.10, -6.81, -5.16, 0.27, 229.78, 304.17, + -0.60, 0.50, 6.80, -5.14, 0.33, 0.01, 256.30,-276.81, + -0.28, -0.40, -6.19, -5.73, -0.14, 0.01,-212.82, 269.45, + 0.84, 1.20, 6.02, 4.76, 0.14, -0.02, 196.64, 272.05, + -0.84, 0.90, 6.08, -4.40, 0.35, 0.02, 188.95, 272.22, + -0.12, 0.30, 6.09, -4.22, 0.34,-292.37, -5.10, -0.32, + -0.40, -0.11, 6.54, 0.14, 0.01, 161.79,-220.67, 0.24, + 0.10, -4.93, -3.62, -0.08, 261.54, -19.94, -0.95, 0.20, + -0.45, -5.85, -0.13, 0.02, 142.16,-190.79, 0.20, 0.10, + -4.27, -3.18, -0.07, 187.95, -4.11, -0.24, 0.30, -0.09, + -4.20, -0.09, 0.01, 0.00, 0.00, -79.08, 167.90, 0.04, + 0.00, 3.75, 1.77, 121.98, 131.04, -0.08, 0.10, 2.93, + -2.73, -0.06,-172.95, -8.11, -0.40, -0.20, -0.18, 3.87, + 0.09, 0.01,-160.15, -55.30, -14.04, 13.90, -1.23, 3.58, + 0.40, 0.31,-115.40, 123.20, 0.60, 0.70, 2.75, 2.58, + 0.08, -0.01,-168.26, -2.00, 0.20, -0.20, -0.04, 3.76, + + /* 596-723 */ + 0.08,-114.49, 123.20, 0.32, 0.40, 2.75, 2.56, 0.07, + -0.01, 112.14, 120.70, 0.28, -0.30, 2.70, -2.51, -0.07, + -0.01, 161.34, 4.03, 0.20, 0.20, 0.09, -3.61, -0.08, + 91.31, 126.64, -0.40, 0.40, 2.83, -2.04, -0.04, 0.01, + 105.29, 112.90, 0.44, -0.50, 2.52, -2.35, -0.07, -0.01, + 98.69,-106.20, -0.28, -0.30, -2.37, -2.21, -0.06, 0.01, + 86.74,-112.94, -0.08, -0.20, -2.53, -1.94, -0.05,-134.81, + 3.51, 0.20, -0.20, 0.08, 3.01, 0.07, 79.03, 107.31, + -0.24, 0.20, 2.40, -1.77, -0.04, 0.01, 132.81, -10.77, + -0.52, 0.10, -0.24, -2.97, -0.07, 0.01,-130.31, -0.90, + 0.04, 0.00, 0.00, 2.91, -78.56, 85.32, 0.00, 0.00, + 1.91, 1.76, 0.04, 0.00, 0.00, -41.53, 89.10, 0.02, + 0.00, 1.99, 0.93, 66.03, -71.00, -0.20, -0.20, -1.59, + -1.48, -0.04, 60.50, 64.70, 0.36, -0.40, 1.45, -1.35, + 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0.54, -0.42, + -0.01, -18.02, 24.40, -0.04, -0.10, 0.55, 0.40, 0.01, + 17.74, 22.50, 0.08, -0.10, 0.50, -0.40, -0.01, -19.41, + 20.70, 0.08, 0.10, 0.46, 0.43, 0.01, -18.64, 20.11, + 0.00, 0.00, 0.45, 0.42, 0.01, -16.75, 21.60, 0.04, + 0.10, 0.48, 0.37, 0.01, -18.42, -20.00, 0.00, 0.00, + -0.45, 0.41, 0.01, -26.77, 1.41, 0.08, 0.00, 0.00, + 0.60, -26.17, -0.19, 0.00, 0.00, 0.00, 0.59, -15.52, + 20.51, 0.00, 0.00, 0.46, 0.35, 0.01, -25.42, -1.91, + -0.08, 0.00, -0.04, 0.57, 0.45, -17.42, 18.10, 0.00, + 0.00, 0.40, 0.39, 0.01, 16.39, -17.60, -0.08, -0.10, + -0.39, -0.37, -0.01, -14.37, 18.91, 0.00, 0.00, 0.42, + 0.32, 0.01, 23.39, -2.40, -0.12, 0.00, 0.00, -0.52, + 14.32, -18.50, -0.04, -0.10, -0.41, -0.32, -0.01, 15.69, + 17.08, 0.00, 0.00, 0.38, -0.35, -0.01, -22.99, 0.50, + 0.04, 0.00, 0.00, 0.51, 0.00, 0.00, 14.47, -17.60, + + /* 1108-1235 */ + -0.01, 0.00, -0.39, -0.32, -13.33, 18.40, -0.04, -0.10, + 0.41, 0.30, 22.47, -0.60, -0.04, 0.00, 0.00, -0.50, + -12.78, -17.41, 0.04, 0.00, -0.39, 0.29, 0.01, -14.10, + -15.31, 0.04, 0.00, -0.34, 0.32, 0.01, 11.98, 16.21, + -0.04, 0.00, 0.36, -0.27, -0.01, 19.65, -1.90, -0.08, + 0.00, 0.00, -0.44, 19.61, -1.50, -0.08, 0.00, 0.00, + -0.44, 13.41, -14.30, -0.04, -0.10, -0.32, -0.30, -0.01, + -13.29, 14.40, 0.00, 0.00, 0.32, 0.30, 0.01, 11.14, + -14.40, -0.04, 0.00, -0.32, -0.25, -0.01, 12.24, -13.38, + 0.04, 0.00, -0.30, -0.27, -0.01, 10.07, -13.81, 0.04, + 0.00, -0.31, -0.23, -0.01, 10.46, 13.10, 0.08, -0.10, + 0.29, -0.23, -0.01, 16.55, -1.71, -0.08, 0.00, 0.00, + -0.37, 9.75, -12.80, 0.00, 0.00, -0.29, -0.22, -0.01, + 9.11, 12.80, 0.00, 0.00, 0.29, -0.20, 0.00, 0.00, + -6.44, -13.80, 0.00, 0.00, -0.31, 0.14, -9.19, -12.00, + 0.00, 0.00, -0.27, 0.21, -10.30, 10.90, 0.08, 0.10, + + /* 1236-1363 */ + 0.24, 0.23, 0.01, 14.92, -0.80, -0.04, 0.00, 0.00, + -0.33, 10.02, -10.80, 0.00, 0.00, -0.24, -0.22, -0.01, + -9.75, 10.40, 0.04, 0.00, 0.23, 0.22, 0.01, 9.67, + -10.40, -0.04, 0.00, -0.23, -0.22, -0.01, -8.28, -11.20, + 0.04, 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0.15, -0.12, + -8.47, -0.40, 0.00, 0.00, 0.00, 0.19, 6.32, -5.39, + -1.11, 1.10, -0.12, -0.14, 0.02, 0.02, 5.73, -6.10, + -0.04, 0.00, -0.14, -0.13, 4.70, 6.60, -0.04, 0.00, + 0.15, -0.11, -4.90, -6.40, 0.00, 0.00, -0.14, 0.11, + -5.33, 5.60, 0.04, 0.10, 0.13, 0.12, 0.01, -4.81, + 6.00, 0.04, 0.00, 0.13, 0.11, 5.13, 5.50, 0.04, + 0.00, 0.12, -0.11, 4.50, 5.90, 0.00, 0.00, 0.13, + -0.10, -4.22, 6.10, 0.00, 0.00, 0.14, -4.53, 5.70, + 0.00, 0.00, 0.13, 0.10, 4.18, 5.70, 0.00, 0.00, + + /* 1492-1619 */ + 0.13, -4.75, -5.19, 0.00, 0.00, -0.12, 0.11, -4.06, + 5.60, 0.00, 0.00, 0.13, -3.98, 5.60, -0.04, 0.00, + 0.13, 4.02, -5.40, 0.00, 0.00, -0.12, 4.49, -4.90, + -0.04, 0.00, -0.11, -0.10, -3.62, -5.40, -0.16, 0.20, + -0.12, 0.00, 0.01, 4.38, 4.80, 0.00, 0.00, 0.11, + -6.40, -0.10, 0.00, 0.00, 0.00, 0.14, -3.98, 5.00, + 0.04, 0.00, 0.11, -3.82, -5.00, 0.00, 0.00, -0.11, + -3.71, 5.07, 0.00, 0.00, 0.11, 4.14, 4.40, 0.00, + 0.00, 0.10, -6.01, -0.50, -0.04, 0.00, 0.00, 0.13, + -4.04, 4.39, 0.00, 0.00, 0.10, 3.45, -4.72, 0.00, + 0.00, -0.11, 3.31, 4.71, 0.00, 0.00, 0.11, 3.26, + -4.50, 0.00, 0.00, -0.10, -3.26, -4.50, 0.00, 0.00, + -0.10, -3.34, -4.40, 0.00, 0.00, -0.10, -3.74, -4.00, + 3.70, 4.00, 3.34, -4.30, 3.30, -4.30, -3.66, 3.90, + 0.04, 3.66, 3.90, 0.04, -3.62, -3.90, -3.61, 3.90, + -0.20, 5.30, 0.00, 0.00, 0.12, 3.06, 4.30, 3.30, + + /* 1620-1747 */ + 4.00, 0.40, 0.20, 3.10, 4.10, -3.06, 3.90, -3.30, + -3.60, -3.30, 3.36, 0.01, 3.14, 3.40, -4.57, -0.20, + 0.00, 0.00, 0.00, 0.10, -2.70, -3.60, 2.94, -3.20, + -2.90, 3.20, 2.47, -3.40, 2.55, -3.30, 2.80, -3.08, + 2.51, 3.30, -4.10, 0.30, -0.12, -0.10, 4.10, 0.20, + -2.74, 3.00, 2.46, 3.23, -3.66, 1.20, -0.20, 0.20, + 3.74, -0.40, -2.51, -2.80, -3.74, 2.27, -2.90, 0.00, + 0.00, -2.50, 2.70, -2.51, 2.60, -3.50, 0.20, 3.38, + -2.22, -2.50, 3.26, -0.40, 1.95, -2.60, 3.22, -0.40, + -0.04, -1.79, -2.60, 1.91, 2.50, 0.74, 3.05, -0.04, + 0.08, 2.11, -2.30, -2.11, 2.20, -1.87, -2.40, 2.03, + -2.20, -2.03, 2.20, 2.98, 0.00, 0.00, 2.98, -1.71, + 2.40, 2.94, -0.10, -0.12, 0.10, 1.67, 2.40, -1.79, + 2.30, -1.79, 2.20, -1.67, 2.20, 1.79, -2.00, 1.87, + -1.90, 1.63, -2.10, -1.59, 2.10, 1.55, -2.10, -1.55, + 2.10, -2.59, -0.20, -1.75, -1.90, -1.75, 1.90, -1.83, + + /* 1748-1875 */ + -1.80, 1.51, 2.00, -1.51, -2.00, 1.71, 1.80, 1.31, + 2.10, -1.43, 2.00, 1.43, 2.00, -2.43, -1.51, 1.90, + -1.47, 1.90, 2.39, 0.20, -2.39, 1.39, 1.90, 1.39, + -1.80, 1.47, -1.60, 1.47, -1.60, 1.43, -1.50, -1.31, + 1.60, 1.27, -1.60, -1.27, 1.60, 1.27, -1.60, 2.03, + 1.35, 1.50, -1.39, -1.40, 1.95, -0.20, -1.27, 1.49, + 1.19, 1.50, 1.27, 1.40, 1.15, 1.50, 1.87, -0.10, + -1.12, -1.50, 1.87, -1.11, -1.50, -1.11, -1.50, 0.00, + 0.00, 1.19, 1.40, 1.27, -1.30, -1.27, -1.30, -1.15, + 1.40, -1.23, 1.30, -1.23, -1.30, 1.22, -1.29, 1.07, + -1.40, 1.75, -0.20, -1.03, -1.40, -1.07, 1.20, -1.03, + 1.15, 1.07, 1.10, 1.51, -1.03, 1.10, 1.03, -1.10, + 0.00, 0.00, -1.03, -1.10, 0.91, -1.20, -0.88, -1.20, + -0.88, 1.20, -0.95, 1.10, -0.95, -1.10, 1.43, 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2004-2131 */ + -0.60, 0.40, -0.60, 0.72, -0.72, -0.51, -0.50, -0.48, + 0.50, 0.48, -0.50, -0.48, 0.50, -0.48, 0.50, 0.48, + -0.50, -0.48, -0.50, -0.68, -0.68, 0.44, 0.50, -0.64, + -0.10, -0.64, -0.10, -0.40, 0.50, 0.40, 0.50, 0.40, + 0.50, 0.00, 0.00, -0.40, -0.50, -0.36, -0.50, 0.36, + -0.50, 0.60, -0.60, 0.40, -0.40, 0.40, 0.40, -0.40, + 0.40, -0.40, 0.40, -0.56, -0.56, 0.36, -0.40, -0.36, + 0.40, 0.36, -0.40, -0.36, -0.40, 0.36, 0.40, 0.36, + 0.40, -0.52, 0.52, 0.52, 0.32, 0.40, -0.32, 0.40, + -0.32, 0.40, -0.32, 0.40, 0.32, -0.40, -0.32, -0.40, + 0.32, -0.40, 0.28, -0.40, -0.28, 0.40, 0.28, -0.40, + 0.28, 0.40, 0.48, -0.48, 0.48, 0.36, -0.30, -0.36, + -0.30, 0.00, 0.00, 0.20, 0.40, -0.44, 0.44, -0.44, + -0.44, -0.44, -0.44, 0.32, -0.30, 0.32, 0.30, 0.24, + 0.30, -0.12, -0.10, -0.28, 0.30, 0.28, 0.30, 0.28, + 0.30, 0.28, -0.30, 0.28, -0.30, 0.28, -0.30, 0.28, + + /* 2132-2259 */ + 0.30, -0.28, 0.30, 0.40, 0.40, -0.24, 0.30, 0.24, + -0.30, 0.24, -0.30, -0.24, -0.30, 0.24, 0.30, 0.24, 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-1.40, 0.00, + 0.00, 1.15, 1.50, -0.12, 0.20, 1.11, 1.50, 0.36, + -0.50, -1.07, -1.40, -1.11, 1.50, 1.67, 0.00, 0.80, + -1.11, 0.00, 1.43, 1.23, -1.30, -0.24, -1.19, -1.30, + -0.24, 0.20, -0.44, -0.90, -0.95, 1.10, 1.07, -1.40, + 1.15, -1.30, 1.03, -1.10, -0.56, -0.60, -0.68, 0.90, + -0.76, -1.00, -0.24, -0.30, 0.95, -1.30, 0.56, 0.70, + 0.84, -1.10, -0.56, 0.00, -1.55, 0.91, -1.30, 0.28, + 0.30, 0.16, -0.20, 0.95, 1.30, 0.40, -0.50, -0.88, + -1.20, 0.95, -1.10, -0.48, -0.50, 0.00, 0.00, -1.07, + 1.20, 0.44, -0.50, 0.95, 1.10, 0.00, 0.00, 0.92, + -1.30, 0.95, 1.00, -0.52, 0.60, 1.59, 0.24, -0.40, + 0.91, 1.20, 0.84, -1.10, -0.44, -0.60, 0.84, 1.10, + -0.44, 0.60, -0.44, 0.60, -0.84, -1.10, -0.80, 0.00, + + /* 3412-3539 */ + 1.35, 0.76, 0.20, -0.91, -1.00, 0.20, -0.30, -0.91, + -1.20, -0.95, 1.00, -0.48, -0.50, 0.88, 1.00, 0.48, + -0.50, -0.95, -1.10, 0.20, -0.20, -0.99, 1.10, -0.84, + 1.10, -0.24, -0.30, 0.20, -0.30, 0.84, 1.10, -1.39, + 0.00, -0.28, -0.16, 0.20, 0.84, 1.10, 0.00, 0.00, + 1.39, 0.00, 0.00, -0.95, 1.00, 1.35, -0.99, 0.00, + 0.88, -0.52, 0.00, -1.19, 0.20, 0.20, 0.76, -1.00, + 0.00, 0.00, 0.76, 1.00, 0.00, 0.00, 0.76, 1.00, + -0.76, 1.00, 0.00, 0.00, 1.23, 0.76, 0.80, -0.32, + 0.40, -0.72, 0.80, -0.40, -0.40, 0.00, 0.00, -0.80, + -0.90, -0.68, 0.90, -0.16, -0.20, -0.16, -0.20, 0.68, + -0.90, -0.36, 0.50, -0.56, -0.80, 0.72, -0.90, 0.44, + -0.60, -0.48, -0.70, -0.16, 0.00, -1.11, 0.32, 0.00, + -1.07, 0.60, -0.80, -0.28, -0.40, -0.64, 0.00, 0.91, + 1.11, 0.64, -0.90, 0.76, -0.80, 0.00, 0.00, -0.76, + -0.80, 1.03, 0.00, -0.36, -0.64, -0.70, 0.36, -0.40, + + /* 3540-3667 */ + 1.07, 0.36, -0.50, -0.52, -0.70, 0.60, 0.00, 0.88, + 0.95, 0.00, 0.48, 0.16, -0.20, 0.60, 0.80, 0.16, + -0.20, -0.60, -0.80, 0.00, -1.00, 0.12, 0.20, 0.16, + -0.20, 0.68, 0.70, 0.59, -0.80, -0.99, -0.56, -0.60, + 0.36, -0.40, -0.68, -0.70, -0.68, -0.70, -0.36, -0.50, + -0.44, 0.60, 0.64, 0.70, -0.12, 0.10, -0.52, 0.60, + 0.36, 0.40, 0.00, 0.00, 0.95, -0.84, 0.00, 0.44, + 0.56, 0.60, 0.32, -0.30, 0.00, 0.00, 0.60, 0.70, + 0.00, 0.00, 0.60, 0.70, -0.12, -0.20, 0.52, -0.70, + 0.00, 0.00, 0.56, 0.70, -0.12, 0.10, -0.52, -0.70, + 0.00, 0.00, 0.88, -0.76, 0.00, -0.44, 0.00, 0.00, + -0.52, -0.70, 0.52, -0.70, 0.36, -0.40, -0.44, -0.50, + 0.00, 0.00, 0.60, 0.60, 0.84, 0.00, 0.12, -0.24, + 0.00, 0.80, -0.56, 0.60, -0.32, -0.30, 0.48, -0.50, + 0.28, -0.30, -0.48, -0.50, 0.12, 0.20, 0.48, -0.60, + 0.48, 0.60, -0.12, 0.20, 0.24, 0.00, 0.76, -0.52, + + /* 3668-3795 */ + -0.60, -0.52, 0.60, 0.48, -0.50, -0.24, -0.30, 0.12, + -0.10, 0.48, 0.60, 0.52, -0.20, 0.36, 0.40, -0.44, + 0.50, -0.24, -0.30, -0.48, -0.60, -0.44, -0.60, -0.12, + 0.10, 0.76, 0.76, 0.20, -0.20, 0.48, 0.50, 0.40, + -0.50, -0.24, -0.30, 0.44, -0.60, 0.44, -0.60, 0.36, + 0.00, -0.64, 0.72, 0.00, -0.12, 0.00, -0.10, -0.40, + -0.60, -0.20, -0.20, -0.44, 0.50, -0.44, 0.50, 0.20, + 0.20, -0.44, -0.50, 0.20, -0.20, -0.20, 0.20, -0.44, + -0.50, 0.64, 0.00, 0.32, -0.36, 0.50, -0.20, -0.30, + 0.12, -0.10, 0.48, 0.50, -0.12, 0.30, -0.36, -0.50, + 0.00, 0.00, 0.48, 0.50, -0.48, 0.50, 0.68, 0.00, + -0.12, 0.56, -0.40, 0.44, -0.50, -0.12, -0.10, 0.24, + 0.30, -0.40, 0.40, 0.64, 0.00, -0.24, 0.64, 0.00, + -0.20, 0.00, 0.00, 0.44, -0.50, 0.44, 0.50, -0.12, + 0.20, -0.36, -0.50, 0.12, 0.00, 0.64, -0.40, 0.50, + 0.00, 0.10, 0.00, 0.00, -0.40, 0.50, 0.00, 0.00, + + /* 3796-3923 */ + -0.40, -0.50, 0.56, 0.00, 0.28, 0.00, 0.10, 0.36, + 0.50, 0.00, -0.10, 0.36, -0.50, 0.36, 0.50, 0.00, + -0.10, 0.24, -0.20, -0.36, -0.40, 0.16, 0.20, 0.40, + -0.40, 0.00, 0.00, -0.36, -0.50, -0.36, -0.50, -0.32, + -0.50, -0.12, 0.10, 0.20, 0.20, -0.36, 0.40, -0.60, + 0.60, 0.28, 0.00, 0.52, 0.12, -0.10, 0.40, 0.40, + 0.00, -0.50, 0.20, -0.20, -0.32, 0.40, 0.16, 0.20, + -0.16, 0.20, 0.32, 0.40, 0.56, 0.00, -0.12, 0.32, + -0.40, -0.16, -0.20, 0.00, 0.00, 0.40, 0.40, -0.40, + -0.40, -0.40, 0.40, -0.36, 0.40, 0.12, 0.10, 0.00, + 0.10, 0.36, 0.40, 0.00, -0.10, 0.36, 0.40, -0.36, + 0.40, 0.00, 0.10, 0.32, 0.00, 0.44, 0.12, 0.20, + 0.28, -0.40, 0.00, 0.00, 0.36, 0.40, 0.32, -0.40, + -0.16, 0.12, 0.10, 0.32, -0.40, 0.20, 0.30, -0.24, + 0.30, 0.00, 0.10, 0.32, 0.40, 0.00, -0.10, -0.32, + -0.40, -0.32, 0.40, 0.00, 0.10, -0.52, -0.52, 0.52, + + /* 3924-4051 */ + 0.32, -0.40, 0.00, 0.00, 0.32, 0.40, 0.32, -0.40, + 0.00, 0.00, -0.32, -0.40, -0.32, 0.40, 0.32, 0.40, + 0.00, 0.00, 0.32, 0.40, 0.00, 0.00, -0.32, -0.40, + 0.00, 0.00, 0.32, 0.40, 0.16, 0.20, 0.32, -0.30, + -0.16, 0.00, -0.48, -0.20, 0.20, -0.28, -0.30, 0.28, + -0.40, 0.00, 0.00, 0.28, -0.40, 0.00, 0.00, 0.28, + -0.40, 0.00, 0.00, -0.28, -0.40, 0.28, 0.40, -0.28, + -0.40, -0.48, -0.20, 0.20, 0.24, 0.30, 0.44, 0.00, + 0.16, 0.24, 0.30, 0.16, -0.20, 0.24, 0.30, -0.12, + 0.20, 0.20, 0.30, -0.16, 0.20, 0.00, 0.00, 0.44, + -0.32, 0.30, 0.24, 0.00, -0.36, 0.36, 0.00, 0.24, + 0.12, -0.20, 0.20, 0.30, -0.12, 0.00, -0.28, 0.30, + -0.24, 0.30, 0.12, 0.10, -0.28, -0.30, -0.28, 0.30, + 0.00, 0.00, -0.28, -0.30, 0.00, 0.00, -0.28, -0.30, + 0.00, 0.00, 0.28, 0.30, 0.00, 0.00, -0.28, -0.30, + -0.28, 0.30, 0.00, 0.00, -0.28, -0.30, 0.00, 0.00, + + /* 4052-4179 */ + 0.28, 0.30, 0.00, 0.00, -0.28, 0.30, 0.28, -0.30, + -0.28, 0.30, 0.40, 0.40, -0.24, 0.30, 0.00, -0.10, + 0.16, 0.00, 0.36, -0.20, 0.30, -0.12, -0.10, -0.24, + -0.30, 0.00, 0.00, -0.24, 0.30, -0.24, 0.30, 0.00, + 0.00, -0.24, 0.30, -0.24, 0.30, 0.24, -0.30, 0.00, + 0.00, 0.24, -0.30, 0.00, 0.00, 0.24, 0.30, 0.24, + -0.30, 0.24, 0.30, -0.24, 0.30, -0.24, 0.30, -0.20, + 0.20, -0.16, -0.20, 0.00, 0.00, -0.32, 0.20, 0.00, + 0.10, 0.20, -0.30, 0.20, -0.20, 0.12, 0.20, -0.16, + 0.20, 0.16, 0.20, 0.20, 0.30, 0.20, 0.30, 0.00, + 0.00, -0.20, 0.30, 0.00, 0.00, 0.20, 0.30, -0.20, + -0.30, -0.20, -0.30, 0.20, -0.30, 0.00, 0.00, 0.20, + 0.30, 0.00, 0.00, 0.20, 0.30, 0.00, 0.00, 0.20, + 0.30, 0.00, 0.00, 0.20, 0.30, 0.00, 0.00, 0.20, + -0.30, 0.00, 0.00, -0.20, -0.30, 0.00, 0.00, -0.20, + 0.30, 0.00, 0.00, -0.20, 0.30, 0.00, 0.00, 0.36, + + /* 4180-4307 */ + 0.00, 0.00, 0.36, 0.12, 0.10, -0.24, 0.20, 0.12, + -0.20, -0.16, -0.20, -0.13, 0.10, 0.22, 0.21, 0.20, + 0.00, -0.28, 0.32, 0.00, -0.12, -0.20, -0.20, 0.12, + -0.10, 0.12, 0.10, -0.20, 0.20, 0.00, 0.00, -0.32, + 0.32, 0.00, 0.00, 0.32, 0.32, 0.00, 0.00, -0.24, + -0.20, 0.24, 0.20, 0.20, 0.00, -0.24, 0.00, 0.00, + -0.24, -0.20, 0.00, 0.00, 0.24, 0.20, -0.24, -0.20, + 0.00, 0.00, -0.24, 0.20, 0.16, -0.20, 0.12, 0.10, + 0.20, 0.20, 0.00, -0.10, -0.12, 0.10, -0.16, -0.20, + -0.12, -0.10, -0.16, 0.20, 0.20, 0.20, 0.00, 0.00, + -0.20, 0.20, -0.20, 0.20, -0.20, 0.20, -0.20, 0.20, + 0.20, -0.20, -0.20, -0.20, 0.00, 0.00, -0.20, 0.20, + 0.20, 0.00, -0.20, 0.00, 0.00, -0.20, 0.20, -0.20, + 0.20, -0.20, -0.20, -0.20, -0.20, 0.00, 0.00, 0.20, + 0.20, 0.20, 0.20, 0.12, -0.20, -0.12, -0.10, 0.28, + -0.28, 0.16, -0.20, 0.00, -0.10, 0.00, 0.10, -0.16, + + /* 4308-4435 */ + 0.20, 0.00, -0.10, -0.16, -0.20, 0.00, -0.10, 0.16, + -0.20, 0.16, -0.20, 0.00, 0.00, 0.16, 0.20, -0.16, + 0.20, 0.00, 0.00, 0.16, 0.20, 0.16, -0.20, 0.16, + -0.20, -0.16, 0.20, 0.16, -0.20, 0.00, 0.00, 0.16, + 0.20, 0.00, 0.00, 0.16, 0.20, 0.00, 0.00, -0.16, + -0.20, 0.16, -0.20, -0.16, -0.20, 0.00, 0.00, -0.16, + -0.20, 0.00, 0.00, -0.16, 0.20, 0.00, 0.00, 0.16, + -0.20, 0.16, 0.20, 0.16, 0.20, 0.00, 0.00, -0.16, + -0.20, 0.00, 0.00, -0.16, -0.20, 0.00, 0.00, 0.16, + 0.20, 0.16, 0.20, 0.00, 0.00, 0.16, 0.20, 0.16, + -0.20, 0.16, 0.20, 0.00, 0.00, -0.16, 0.20, 0.00, + 0.10, 0.12, -0.20, 0.12, -0.20, 0.00, -0.10, 0.00, + -0.10, 0.12, 0.20, 0.00, -0.10, -0.12, 0.20, -0.15, + 0.20, -0.24, 0.24, 0.00, 0.00, 0.24, 0.24, 0.12, + -0.20, -0.12, -0.20, 0.00, 0.00, 0.12, 0.20, 0.12, + -0.20, 0.12, 0.20, 0.12, 0.20, 0.12, 0.20, 0.12, + + /* 4436-4563 */ + -0.20, -0.12, 0.20, 0.00, 0.00, 0.12, 0.20, 0.12, + 0.00, -0.20, 0.00, 0.00, -0.12, -0.20, 0.12, -0.20, + 0.00, 0.00, 0.12, 0.20, -0.12, 0.20, -0.12, 0.20, + 0.12, -0.20, 0.00, 0.00, 0.12, 0.20, 0.20, 0.00, + 0.12, 0.00, 0.00, -0.12, 0.20, 0.00, 0.00, -0.12, + -0.20, 0.00, 0.00, -0.12, -0.20, -0.12, -0.20, 0.00, + 0.00, 0.12, -0.20, 0.12, -0.20, 0.12, 0.20, -0.12, + -0.20, 0.00, 0.00, 0.12, -0.20, 0.12, -0.20, 0.12, + 0.20, 0.12, 0.00, 0.20, -0.12, -0.20, 0.00, 0.00, + 0.12, 0.20, -0.16, 0.00, 0.16, -0.20, 0.20, 0.00, + 0.00, -0.20, 0.00, 0.00, -0.20, 0.20, 0.00, 0.00, + 0.20, 0.20, -0.20, 0.00, 0.00, -0.20, 0.12, 0.00, + -0.16, 0.20, 0.00, 0.00, 0.20, 0.12, -0.10, 0.00, + 0.10, 0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 0.00, + 0.00, -0.16, 0.00, 0.00, -0.16, -0.16, -0.16, 0.00, + 0.00, -0.16, 0.00, 0.00, 0.16, 0.00, 0.00, 0.16, + + /* 4564-4691 */ + 0.00, 0.00, 0.16, 0.16, 0.00, 0.00, -0.16, 0.00, + 0.00, -0.16, -0.16, 0.00, 0.00, 0.16, 0.00, 0.00, + -0.16, -0.16, 0.00, 0.00, -0.16, -0.16, 0.12, 0.10, + 0.12, -0.10, 0.12, 0.10, 0.00, 0.00, 0.12, 0.10, + -0.12, 0.10, 0.00, 0.00, 0.12, 0.10, 0.12, -0.10, + 0.00, 0.00, -0.12, -0.10, 0.00, 0.00, 0.12, 0.10, + 0.12, 0.00, 0.00, 0.12, 0.00, 0.00, -0.12, 0.00, + 0.00, 0.12, 0.12, 0.12, 0.12, 0.12, 0.00, 0.00, + 0.12, 0.00, 0.00, 0.12, 0.12, 0.00, 0.00, 0.12, + 0.00, 0.00, 0.12, -0.12, -0.12, 0.12, 0.12, -0.12, + -0.12, 0.00, 0.00, 0.12, -0.12, 0.12, 0.12, -0.12, + -0.12, 0.00, 0.00, -0.12, -0.12, 0.00, 0.00, -0.12, + 0.12, 0.00, 0.00, 0.12, 0.00, 0.00, 0.12, 0.00, + 0.00, 0.12, -0.12, 0.00, 0.00, -0.12, 0.12, -0.12, + -0.12, 0.12, 0.00, 0.00, 0.12, 0.12, 0.12, -0.12, + 0.00, 0.00, -0.12, -0.12, -0.12, 0.00, 0.00, -0.12, + + /* 4692-NA */ + -0.12, 0.00, 0.00, 0.12, 0.12, 0.00, 0.00, -0.12, + -0.12, -0.12, -0.12, 0.12, 0.00, 0.00, 0.12, -0.12, + 0.00, 0.00, -0.12, -0.12, 0.00, 0.00, 0.12, -0.12, + -0.12, -0.12, -0.12, 0.12, 0.12, -0.12, -0.12, 0.00, + 0.00, -0.12, 0.00, 0.00, -0.12, 0.12, 0.00, 0.00, + 0.12, 0.00, 0.00, -0.12, -0.12, 0.00, 0.00, -0.12, + -0.12, 0.12, 0.00, 0.00, 0.12, 0.12, 0.00, 0.00, + 0.12, 0.00, 0.00, 0.12, 0.12, 0.08, 0.00, 0.04 + }; + +/* Number of amplitude coefficients */ + static const int NA = (int) (sizeof a / sizeof (double)); + +/* Amplitude usage: X or Y, sin or cos, power of T. */ + static const int jaxy[] = {0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1}; + static const int jasc[] = {0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0}; + static const int japt[] = {0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4}; + +/* Miscellaneous */ + double t, w, pt[MAXPT+1], fa[14], xypr[2], xypl[2], xyls[2], arg, + sc[2]; + int jpt, i, j, jxy, ialast, ifreq, m, ia, jsc; + +/*--------------------------------------------------------------------*/ + +/* Interval between fundamental date J2000.0 and given date (JC). */ + t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; + +/* Powers of T. */ + w = 1.0; + for (jpt = 0; jpt <= MAXPT; jpt++) { + pt[jpt] = w; + w *= t; + } + +/* Initialize totals in X and Y: polynomial, luni-solar, planetary. */ + for (jxy = 0; jxy < 2; jxy++) { + xypr[jxy] = 0.0; + xyls[jxy] = 0.0; + xypl[jxy] = 0.0; + } + +/* --------------------------------- */ +/* Fundamental arguments (IERS 2003) */ +/* --------------------------------- */ + +/* Mean anomaly of the Moon. */ + fa[0] = eraFal03(t); + +/* Mean anomaly of the Sun. */ + fa[1] = eraFalp03(t); + +/* Mean argument of the latitude of the Moon. */ + fa[2] = eraFaf03(t); + +/* Mean elongation of the Moon from the Sun. */ + fa[3] = eraFad03(t); + +/* Mean longitude of the ascending node of the Moon. */ + fa[4] = eraFaom03(t); + +/* Planetary longitudes, Mercury through Neptune. */ + fa[5] = eraFame03(t); + fa[6] = eraFave03(t); + fa[7] = eraFae03(t); + fa[8] = eraFama03(t); + fa[9] = eraFaju03(t); + fa[10] = eraFasa03(t); + fa[11] = eraFaur03(t); + fa[12] = eraFane03(t); + +/* General accumulated precession in longitude. */ + fa[13] = eraFapa03(t); + +/* -------------------------------------- */ +/* Polynomial part of precession-nutation */ +/* -------------------------------------- */ + + for (jxy = 0; jxy < 2; jxy++) { + for (j = MAXPT; j >= 0; j--) { + xypr[jxy] += xyp[jxy][j] * pt[j]; + } + } + +/* ---------------------------------- */ +/* Nutation periodic terms, planetary */ +/* ---------------------------------- */ + +/* Work backwards through the coefficients per frequency list. */ + ialast = NA; + for (ifreq = NFPL-1; ifreq >= 0; ifreq--) { + + /* Obtain the argument functions. */ + arg = 0.0; + for (i = 0; i < 14; i++) { + m = mfapl[ifreq][i]; + if (m != 0) arg += (double)m * fa[i]; + } + sc[0] = sin(arg); + sc[1] = cos(arg); + + /* Work backwards through the amplitudes at this frequency. */ + ia = nc[ifreq+NFLS]; + for (i = ialast; i >= ia; i--) { + + /* Coefficient number (0 = 1st). */ + j = i-ia; + + /* X or Y. */ + jxy = jaxy[j]; + + /* Sin or cos. */ + jsc = jasc[j]; + + /* Power of T. */ + jpt = japt[j]; + + /* Accumulate the component. */ + xypl[jxy] += a[i-1] * sc[jsc] * pt[jpt]; + } + ialast = ia-1; + } + +/* ----------------------------------- */ +/* Nutation periodic terms, luni-solar */ +/* ----------------------------------- */ + +/* Continue working backwards through the number of coefficients list. */ + for (ifreq = NFLS-1; ifreq >= 0; ifreq--) { + + /* Obtain the argument functions. */ + arg = 0.0; + for (i = 0; i < 5; i++) { + m = mfals[ifreq][i]; + if (m != 0) arg += (double)m * fa[i]; + } + sc[0] = sin(arg); + sc[1] = cos(arg); + + /* Work backwards through the amplitudes at this frequency. */ + ia = nc[ifreq]; + for (i = ialast; i >= ia; i--) { + + /* Coefficient number (0 = 1st). */ + j = i-ia; + + /* X or Y. */ + jxy = jaxy[j]; + + /* Sin or cos. */ + jsc = jasc[j]; + + /* Power of T. */ + jpt = japt[j]; + + /* Accumulate the component. */ + xyls[jxy] += a[i-1] * sc[jsc] * pt[jpt]; + } + ialast = ia-1; + } + +/* ------------------------------------ */ +/* Results: CIP unit vector components */ +/* ------------------------------------ */ + + *x = ERFA_DAS2R * (xypr[0] + (xyls[0] + xypl[0]) / 1e6); + *y = ERFA_DAS2R * (xypr[1] + (xyls[1] + xypl[1]) / 1e6); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/xys00a.c b/ast/erfa/xys00a.c new file mode 100644 index 0000000..411627e --- /dev/null +++ b/ast/erfa/xys00a.c @@ -0,0 +1,142 @@ +#include "erfa.h" + +void eraXys00a(double date1, double date2, + double *x, double *y, double *s) +/* +** - - - - - - - - - - +** e r a X y s 0 0 a +** - - - - - - - - - - +** +** For a given TT date, compute the X,Y coordinates of the Celestial +** Intermediate Pole and the CIO locator s, using the IAU 2000A +** precession-nutation model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** x,y double Celestial Intermediate Pole (Note 2) +** s double the CIO locator s (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The Celestial Intermediate Pole coordinates are the x,y +** components of the unit vector in the Geocentric Celestial +** Reference System. +** +** 3) The CIO locator s (in radians) positions the Celestial +** Intermediate Origin on the equator of the CIP. +** +** 4) A faster, but slightly less accurate result (about 1 mas for +** X,Y), can be obtained by using instead the eraXys00b function. +** +** Called: +** eraPnm00a classical NPB matrix, IAU 2000A +** eraBpn2xy extract CIP X,Y coordinates from NPB matrix +** eraS00 the CIO locator s, given X,Y, IAU 2000A +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rbpn[3][3]; + + +/* Form the bias-precession-nutation matrix, IAU 2000A. */ + eraPnm00a(date1, date2, rbpn); + +/* Extract X,Y. */ + eraBpn2xy(rbpn, x, y); + +/* Obtain s. */ + *s = eraS00(date1, date2, *x, *y); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/xys00b.c b/ast/erfa/xys00b.c new file mode 100644 index 0000000..12bf0dc --- /dev/null +++ b/ast/erfa/xys00b.c @@ -0,0 +1,142 @@ +#include "erfa.h" + +void eraXys00b(double date1, double date2, + double *x, double *y, double *s) +/* +** - - - - - - - - - - +** e r a X y s 0 0 b +** - - - - - - - - - - +** +** For a given TT date, compute the X,Y coordinates of the Celestial +** Intermediate Pole and the CIO locator s, using the IAU 2000B +** precession-nutation model. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** x,y double Celestial Intermediate Pole (Note 2) +** s double the CIO locator s (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The Celestial Intermediate Pole coordinates are the x,y +** components of the unit vector in the Geocentric Celestial +** Reference System. +** +** 3) The CIO locator s (in radians) positions the Celestial +** Intermediate Origin on the equator of the CIP. +** +** 4) The present function is faster, but slightly less accurate (about +** 1 mas in X,Y), than the eraXys00a function. +** +** Called: +** eraPnm00b classical NPB matrix, IAU 2000B +** eraBpn2xy extract CIP X,Y coordinates from NPB matrix +** eraS00 the CIO locator s, given X,Y, IAU 2000A +** +** Reference: +** +** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), +** IERS Technical Note No. 32, BKG (2004) +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rbpn[3][3]; + + +/* Form the bias-precession-nutation matrix, IAU 2000A. */ + eraPnm00b(date1, date2, rbpn); + +/* Extract X,Y. */ + eraBpn2xy(rbpn, x, y); + +/* Obtain s. */ + *s = eraS00(date1, date2, *x, *y); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/xys06a.c b/ast/erfa/xys06a.c new file mode 100644 index 0000000..8c3b3d8 --- /dev/null +++ b/ast/erfa/xys06a.c @@ -0,0 +1,142 @@ +#include "erfa.h" + +void eraXys06a(double date1, double date2, + double *x, double *y, double *s) +/* +** - - - - - - - - - - +** e r a X y s 0 6 a +** - - - - - - - - - - +** +** For a given TT date, compute the X,Y coordinates of the Celestial +** Intermediate Pole and the CIO locator s, using the IAU 2006 +** precession and IAU 2000A nutation models. +** +** Given: +** date1,date2 double TT as a 2-part Julian Date (Note 1) +** +** Returned: +** x,y double Celestial Intermediate Pole (Note 2) +** s double the CIO locator s (Note 2) +** +** Notes: +** +** 1) The TT date date1+date2 is a Julian Date, apportioned in any +** convenient way between the two arguments. For example, +** JD(TT)=2450123.7 could be expressed in any of these ways, +** among others: +** +** date1 date2 +** +** 2450123.7 0.0 (JD method) +** 2451545.0 -1421.3 (J2000 method) +** 2400000.5 50123.2 (MJD method) +** 2450123.5 0.2 (date & time method) +** +** The JD method is the most natural and convenient to use in +** cases where the loss of several decimal digits of resolution +** is acceptable. The J2000 method is best matched to the way +** the argument is handled internally and will deliver the +** optimum resolution. The MJD method and the date & time methods +** are both good compromises between resolution and convenience. +** +** 2) The Celestial Intermediate Pole coordinates are the x,y components +** of the unit vector in the Geocentric Celestial Reference System. +** +** 3) The CIO locator s (in radians) positions the Celestial +** Intermediate Origin on the equator of the CIP. +** +** 4) Series-based solutions for generating X and Y are also available: +** see Capitaine & Wallace (2006) and eraXy06. +** +** Called: +** eraPnm06a classical NPB matrix, IAU 2006/2000A +** eraBpn2xy extract CIP X,Y coordinates from NPB matrix +** eraS06 the CIO locator s, given X,Y, IAU 2006 +** +** References: +** +** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 +** +** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + double rbpn[3][3]; + + +/* Form the bias-precession-nutation matrix, IAU 2006/2000A. */ + eraPnm06a(date1, date2, rbpn); + +/* Extract X,Y. */ + eraBpn2xy(rbpn, x, y); + +/* Obtain s. */ + *s = eraS06(date1, date2, *x, *y); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/zp.c b/ast/erfa/zp.c new file mode 100644 index 0000000..37e8cc6 --- /dev/null +++ b/ast/erfa/zp.c @@ -0,0 +1,86 @@ +#include "erfa.h" + +void eraZp(double p[3]) +/* +** - - - - - - +** e r a Z p +** - - - - - - +** +** Zero a p-vector. +** +** Returned: +** p double[3] p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + p[0] = 0.0; + p[1] = 0.0; + p[2] = 0.0; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/zpv.c b/ast/erfa/zpv.c new file mode 100644 index 0000000..2592f60 --- /dev/null +++ b/ast/erfa/zpv.c @@ -0,0 +1,88 @@ +#include "erfa.h" + +void eraZpv(double pv[2][3]) +/* +** - - - - - - - +** e r a Z p v +** - - - - - - - +** +** Zero a pv-vector. +** +** Returned: +** pv double[2][3] pv-vector +** +** Called: +** eraZp zero p-vector +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + eraZp(pv[0]); + eraZp(pv[1]); + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ diff --git a/ast/erfa/zr.c b/ast/erfa/zr.c new file mode 100644 index 0000000..6fc8b24 --- /dev/null +++ b/ast/erfa/zr.c @@ -0,0 +1,92 @@ +#include "erfa.h" + +void eraZr(double r[3][3]) +/* +** - - - - - - +** e r a Z r +** - - - - - - +** +** Initialize an r-matrix to the null matrix. +** +** Returned: +** r double[3][3] r-matrix +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** Derived, with permission, from the SOFA library. See notes at end of file. +*/ +{ + r[0][0] = 0.0; + r[0][1] = 0.0; + r[0][2] = 0.0; + r[1][0] = 0.0; + r[1][1] = 0.0; + r[1][2] = 0.0; + r[2][0] = 0.0; + r[2][1] = 0.0; + r[2][2] = 0.0; + + return; + +} +/*---------------------------------------------------------------------- +** +** +** Copyright (C) 2013-2014, NumFOCUS Foundation. +** All rights reserved. +** +** This library is derived, with permission, from the International +** Astronomical Union's "Standards of Fundamental Astronomy" library, +** available from http://www.iausofa.org. +** +** The ERFA version is intended to retain identical functionality to +** the SOFA library, but made distinct through different function and +** file names, as set out in the SOFA license conditions. The SOFA +** original has a role as a reference standard for the IAU and IERS, +** and consequently redistribution is permitted only in its unaltered +** state. The ERFA version is not subject to this restriction and +** therefore can be included in distributions which do not support the +** concept of "read only" software. +** +** Although the intent is to replicate the SOFA API (other than +** replacement of prefix names) and results (with the exception of +** bugs; any that are discovered will be fixed), SOFA is not +** responsible for any errors found in this version of the library. +** +** If you wish to acknowledge the SOFA heritage, please acknowledge +** that you are using a library derived from SOFA, rather than SOFA +** itself. +** +** +** TERMS AND CONDITIONS +** +** Redistribution and use in source and binary forms, with or without +** modification, are permitted provided that the following conditions +** are met: +** +** 1 Redistributions of source code must retain the above copyright +** notice, this list of conditions and the following disclaimer. +** +** 2 Redistributions in binary form must reproduce the above copyright +** notice, this list of conditions and the following disclaimer in +** the documentation and/or other materials provided with the +** distribution. +** +** 3 Neither the name of the Standards Of Fundamental Astronomy Board, +** the International Astronomical Union nor the names of its +** contributors may be used to endorse or promote products derived +** from this software without specific prior written permission. +** +** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +** POSSIBILITY OF SUCH DAMAGE. +** +*/ |