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+#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.
+**
+*/
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