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| author | Thomas Wouters <thomas@python.org> | 2007-09-19 03:06:30 (GMT) |
|---|---|---|
| committer | Thomas Wouters <thomas@python.org> | 2007-09-19 03:06:30 (GMT) |
| commit | 1b7f891f416830d0c46ca1c9e1bfe62f05cda655 (patch) | |
| tree | fc092d34bebe4223a3026d1992bf17cc0ea2b2b0 /Lib/test/decimaltestdata/multiply.decTest | |
| parent | 782d6b44a1cc003106bac3a310d3e4ac3768adbd (diff) | |
| download | cpython-1b7f891f416830d0c46ca1c9e1bfe62f05cda655.zip cpython-1b7f891f416830d0c46ca1c9e1bfe62f05cda655.tar.gz cpython-1b7f891f416830d0c46ca1c9e1bfe62f05cda655.tar.bz2 | |
Merged revisions 58095-58132,58136-58148,58151-58197 via svnmerge from
svn+ssh://pythondev@svn.python.org/python/trunk
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r58096 | brett.cannon | 2007-09-10 23:38:27 +0200 (Mon, 10 Sep 2007) | 4 lines
Fix a possible segfault from recursing too deep to get the repr of a list.
Closes issue #1096.
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r58097 | bill.janssen | 2007-09-10 23:51:02 +0200 (Mon, 10 Sep 2007) | 33 lines
More work on SSL support.
* Much expanded test suite:
All protocols tested against all other protocols.
All protocols tested with all certificate options.
Tests for bad key and bad cert.
Test of STARTTLS functionality.
Test of RAND_* functions.
* Fixes for threading/malloc bug.
* Issue 1065 fixed:
sslsocket class renamed to SSLSocket.
sslerror class renamed to SSLError.
Function "wrap_socket" now used to wrap an existing socket.
* Issue 1583946 finally fixed:
Support for subjectAltName added.
Subject name now returned as proper DN list of RDNs.
* SSLError exported from socket as "sslerror".
* RAND_* functions properly exported from ssl.py.
* Documentation improved:
Example of how to create a self-signed certificate.
Better indexing.
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r58098 | guido.van.rossum | 2007-09-11 00:02:25 +0200 (Tue, 11 Sep 2007) | 9 lines
Patch # 1140 (my code, approved by Effbot).
Make sure the type of the return value of re.sub(x, y, z) is the type
of y+x (i.e. unicode if either is unicode, str if they are both str)
even if there are no substitutions or if x==z (which triggered various
special cases in join_list()).
Could be backported to 2.5; no need to port to 3.0.
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r58099 | guido.van.rossum | 2007-09-11 00:36:02 +0200 (Tue, 11 Sep 2007) | 8 lines
Patch # 1026 by Benjamin Aranguren (with Alex Martelli):
Backport abc.py and isinstance/issubclass overloading to 2.6.
I had to backport test_typechecks.py myself, and make one small change
to abc.py to avoid duplicate work when x.__class__ and type(x) are the
same.
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r58100 | bill.janssen | 2007-09-11 01:41:24 +0200 (Tue, 11 Sep 2007) | 3 lines
A better way of finding an open port to test with.
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r58101 | bill.janssen | 2007-09-11 03:09:19 +0200 (Tue, 11 Sep 2007) | 4 lines
Make sure test_ssl doesn't reference the ssl module in a
context where it can't be imported.
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r58102 | bill.janssen | 2007-09-11 04:42:07 +0200 (Tue, 11 Sep 2007) | 3 lines
Fix some documentation bugs.
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r58103 | nick.coghlan | 2007-09-11 16:01:18 +0200 (Tue, 11 Sep 2007) | 1 line
Always use the -E flag when spawning subprocesses in test_cmd_line (Issue 1056)
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r58106 | thomas.heller | 2007-09-11 21:17:48 +0200 (Tue, 11 Sep 2007) | 3 lines
Disable some tests that fail on the 'ppc Debian unstable' buildbot to
find out if they cause the segfault on the 'alpha Debian' machine.
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r58108 | brett.cannon | 2007-09-11 23:02:28 +0200 (Tue, 11 Sep 2007) | 6 lines
Generators had their throw() method allowing string exceptions. That's a
no-no.
Fixes issue #1147. Need to fix 2.5 to raise a proper warning if a string
exception is passed in.
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r58112 | georg.brandl | 2007-09-12 20:03:51 +0200 (Wed, 12 Sep 2007) | 3 lines
New documentation page for the bdb module.
(This doesn't need to be merged to Py3k.)
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r58114 | georg.brandl | 2007-09-12 20:05:57 +0200 (Wed, 12 Sep 2007) | 2 lines
Bug #1152: use non-deprecated name in example.
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r58115 | georg.brandl | 2007-09-12 20:08:33 +0200 (Wed, 12 Sep 2007) | 2 lines
Fix #1122: wrong return type documented for various _Size() functions.
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r58117 | georg.brandl | 2007-09-12 20:10:56 +0200 (Wed, 12 Sep 2007) | 2 lines
Fix #1139: PyFile_Encoding really is PyFile_SetEncoding.
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r58119 | georg.brandl | 2007-09-12 20:29:18 +0200 (Wed, 12 Sep 2007) | 2 lines
bug #1154: release memory allocated by "es" PyArg_ParseTuple format specifier.
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r58121 | bill.janssen | 2007-09-12 20:52:05 +0200 (Wed, 12 Sep 2007) | 1 line
root certificate for https://svn.python.org/, used in test_ssl
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r58122 | georg.brandl | 2007-09-12 21:00:07 +0200 (Wed, 12 Sep 2007) | 3 lines
Bug #1153: repr.repr() now doesn't require set and dictionary items
to be orderable to properly represent them.
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r58125 | georg.brandl | 2007-09-12 21:29:28 +0200 (Wed, 12 Sep 2007) | 4 lines
#1120: put explicit version in the shebang lines of pydoc, idle
and smtpd.py scripts that are installed by setup.py. That way, they
work when only "make altinstall" is used.
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r58139 | mark.summerfield | 2007-09-13 16:54:30 +0200 (Thu, 13 Sep 2007) | 9 lines
Replaced variable o with obj in operator.rst because o is easy to
confuse.
Added a note about Python 3's collections.Mapping etc., above section
that describes isMappingType() etc.
Added xrefs between os, os.path, fileinput, and open().
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r58143 | facundo.batista | 2007-09-13 20:13:15 +0200 (Thu, 13 Sep 2007) | 7 lines
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now
fully updated to the latests Decimal Specification (v1.66) and the
latests test cases (v2.56).
Thanks to Mark Dickinson for all his help during this process.
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r58145 | facundo.batista | 2007-09-13 20:42:09 +0200 (Thu, 13 Sep 2007) | 7 lines
Put the parameter watchexp back in (changed watchexp from an int
to a bool). Also second argument to watchexp is now converted
to Decimal, just as with all the other two-argument operations.
Thanks Mark Dickinson.
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r58147 | andrew.kuchling | 2007-09-14 00:49:34 +0200 (Fri, 14 Sep 2007) | 1 line
Add various items
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r58148 | andrew.kuchling | 2007-09-14 00:50:10 +0200 (Fri, 14 Sep 2007) | 1 line
Make target unique
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r58154 | facundo.batista | 2007-09-14 20:58:34 +0200 (Fri, 14 Sep 2007) | 3 lines
Included the new functions, and new descriptions.
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r58155 | thomas.heller | 2007-09-14 21:40:35 +0200 (Fri, 14 Sep 2007) | 2 lines
ctypes.util.find_library uses dump(1) instead of objdump(1) on Solaris.
Fixes issue #1777530; will backport to release25-maint.
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r58159 | facundo.batista | 2007-09-14 23:29:52 +0200 (Fri, 14 Sep 2007) | 3 lines
Some additions (examples and a bit on the tutorial).
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r58160 | georg.brandl | 2007-09-15 18:53:36 +0200 (Sat, 15 Sep 2007) | 2 lines
Remove bdb from the "undocumented modules" list.
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r58164 | bill.janssen | 2007-09-17 00:06:00 +0200 (Mon, 17 Sep 2007) | 15 lines
Add support for asyncore server-side SSL support. This requires
adding the 'makefile' method to ssl.SSLSocket, and importing the
requisite fakefile class from socket.py, and making the appropriate
changes to it to make it use the SSL connection.
Added sample HTTPS server to test_ssl.py, and test that uses it.
Change SSL tests to use https://svn.python.org/, instead of
www.sf.net and pop.gmail.com.
Added utility function to ssl module, get_server_certificate,
to wrap up the several things to be done to pull a certificate
from a remote server.
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r58173 | bill.janssen | 2007-09-17 01:16:46 +0200 (Mon, 17 Sep 2007) | 1 line
use binary mode when reading files for testAsyncore to make Windows happy
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r58175 | raymond.hettinger | 2007-09-17 02:55:00 +0200 (Mon, 17 Sep 2007) | 7 lines
Sync-up named tuples with the latest version of the ASPN recipe.
Allows optional commas in the field-name spec (help when named tuples are used in conjuction with sql queries).
Adds the __fields__ attribute for introspection and to support conversion to dictionary form.
Adds a __replace__() method similar to str.replace() but using a named field as a target.
Clean-up spelling and presentation in doc-strings.
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r58176 | brett.cannon | 2007-09-17 05:28:34 +0200 (Mon, 17 Sep 2007) | 5 lines
Add a bunch of GIL release/acquire points in tp_print implementations and for
PyObject_Print().
Closes issue #1164.
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r58177 | sean.reifschneider | 2007-09-17 07:45:04 +0200 (Mon, 17 Sep 2007) | 2 lines
issue1597011: Fix for bz2 module corner-case error due to error checking bug.
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r58180 | facundo.batista | 2007-09-17 18:26:50 +0200 (Mon, 17 Sep 2007) | 3 lines
Decimal is updated, :)
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r58181 | facundo.batista | 2007-09-17 19:30:13 +0200 (Mon, 17 Sep 2007) | 5 lines
The methods always return Decimal classes, even if they're
executed through a subclass (thanks Mark Dickinson).
Added a bit of testing for this.
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r58183 | sean.reifschneider | 2007-09-17 22:53:21 +0200 (Mon, 17 Sep 2007) | 2 lines
issue1082: Fixing platform and system for Vista.
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r58185 | andrew.kuchling | 2007-09-18 03:36:16 +0200 (Tue, 18 Sep 2007) | 1 line
Add item; sort properly
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r58186 | raymond.hettinger | 2007-09-18 05:33:19 +0200 (Tue, 18 Sep 2007) | 1 line
Handle corner cased on 0-tuples and 1-tuples. Add verbose option so people can see how it works.
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r58192 | georg.brandl | 2007-09-18 09:24:40 +0200 (Tue, 18 Sep 2007) | 2 lines
A bit of reordering, also show more subheadings in the lang ref index.
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r58193 | facundo.batista | 2007-09-18 18:53:18 +0200 (Tue, 18 Sep 2007) | 4 lines
Speed up of the various division operations (remainder, divide,
divideint and divmod). Thanks Mark Dickinson.
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r58197 | raymond.hettinger | 2007-09-19 00:18:02 +0200 (Wed, 19 Sep 2007) | 1 line
Cleanup docs for NamedTuple.
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Diffstat (limited to 'Lib/test/decimaltestdata/multiply.decTest')
| -rw-r--r-- | Lib/test/decimaltestdata/multiply.decTest | 180 |
1 files changed, 130 insertions, 50 deletions
diff --git a/Lib/test/decimaltestdata/multiply.decTest b/Lib/test/decimaltestdata/multiply.decTest index f650150..71f591a 100644 --- a/Lib/test/decimaltestdata/multiply.decTest +++ b/Lib/test/decimaltestdata/multiply.decTest @@ -1,6 +1,6 @@ ------------------------------------------------------------------------ -- multiply.decTest -- decimal multiplication -- --- Copyright (c) IBM Corporation, 1981, 2004. All rights reserved. -- +-- Copyright (c) IBM Corporation, 1981, 2007. All rights reserved. -- ------------------------------------------------------------------------ -- Please see the document "General Decimal Arithmetic Testcases" -- -- at http://www2.hursley.ibm.com/decimal for the description of -- @@ -17,7 +17,7 @@ -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- -- mfc@uk.ibm.com -- ------------------------------------------------------------------------ -version: 2.39 +version: 2.56 extended: 1 precision: 9 @@ -44,21 +44,28 @@ mulx014 multiply 9.999999999 9.999999999 -> 100.000000 Inexact Rounded mulx015 multiply 2.50 4 -> 10.00 precision: 6 mulx016 multiply 2.50 4 -> 10.00 -mulx017 multiply 9.999999999 9.999999999 -> 100.000 Inexact Rounded +mulx017 multiply 9.999999999 9.999999999 -> 100.000 Inexact Rounded +mulx018 multiply 9.999999999 -9.999999999 -> -100.000 Inexact Rounded +mulx019 multiply -9.999999999 9.999999999 -> -100.000 Inexact Rounded +mulx020 multiply -9.999999999 -9.999999999 -> 100.000 Inexact Rounded -- 1999.12.21: next one is a edge case if intermediate longs are used precision: 15 -mulx019 multiply 999999999999 9765625 -> 9.76562499999023E+18 Inexact Rounded +mulx059 multiply 999999999999 9765625 -> 9.76562499999023E+18 Inexact Rounded precision: 30 mulx160 multiply 999999999999 9765625 -> 9765624999990234375 precision: 9 ----- -- zeros, etc. -mulx020 multiply 0 0 -> 0 -mulx021 multiply 0 -0 -> -0 -mulx022 multiply -0 0 -> -0 -mulx023 multiply -0 -0 -> 0 +mulx021 multiply 0 0 -> 0 +mulx022 multiply 0 -0 -> -0 +mulx023 multiply -0 0 -> -0 +mulx024 multiply -0 -0 -> 0 +mulx025 multiply -0.0 -0.0 -> 0.00 +mulx026 multiply -0.0 -0.0 -> 0.00 +mulx027 multiply -0.0 -0.0 -> 0.00 +mulx028 multiply -0.0 -0.0 -> 0.00 mulx030 multiply 5.00 1E-3 -> 0.00500 mulx031 multiply 00.00 0.000 -> 0.00000 mulx032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0 @@ -94,17 +101,17 @@ mulx066 multiply 123.45 1e13 -> 1.2345E+15 -- test some intermediate lengths precision: 9 -mulx080 multiply 0.1 123456789 -> 12345678.9 -mulx081 multiply 0.1 1234567891 -> 123456789 Inexact Rounded -mulx082 multiply 0.1 12345678912 -> 1.23456789E+9 Inexact Rounded -mulx083 multiply 0.1 12345678912345 -> 1.23456789E+12 Inexact Rounded -mulx084 multiply 0.1 123456789 -> 12345678.9 +mulx080 multiply 0.1 123456789 -> 12345678.9 +mulx081 multiply 0.1 1234567891 -> 123456789 Inexact Rounded +mulx082 multiply 0.1 12345678912 -> 1.23456789E+9 Inexact Rounded +mulx083 multiply 0.1 12345678912345 -> 1.23456789E+12 Inexact Rounded +mulx084 multiply 0.1 123456789 -> 12345678.9 precision: 8 -mulx085 multiply 0.1 12345678912 -> 1.2345679E+9 Inexact Rounded -mulx086 multiply 0.1 12345678912345 -> 1.2345679E+12 Inexact Rounded +mulx085 multiply 0.1 12345678912 -> 1.2345679E+9 Inexact Rounded +mulx086 multiply 0.1 12345678912345 -> 1.2345679E+12 Inexact Rounded precision: 7 -mulx087 multiply 0.1 12345678912 -> 1.234568E+9 Inexact Rounded -mulx088 multiply 0.1 12345678912345 -> 1.234568E+12 Inexact Rounded +mulx087 multiply 0.1 12345678912 -> 1.234568E+9 Inexact Rounded +mulx088 multiply 0.1 12345678912345 -> 1.234568E+12 Inexact Rounded precision: 9 mulx090 multiply 123456789 0.1 -> 12345678.9 @@ -280,6 +287,41 @@ mulx277 multiply 30269.587755640502150977251770554 4.804600973599087339593630964 precision: 1 mulx278 multiply 30269.587755640502150977251770554 4.8046009735990873395936309640543 -> 1E+5 Inexact Rounded +-- test some edge cases with exact rounding +maxexponent: 9999 +minexponent: -9999 +precision: 9 +mulx301 multiply 9 9 -> 81 +mulx302 multiply 9 90 -> 810 +mulx303 multiply 9 900 -> 8100 +mulx304 multiply 9 9000 -> 81000 +mulx305 multiply 9 90000 -> 810000 +mulx306 multiply 9 900000 -> 8100000 +mulx307 multiply 9 9000000 -> 81000000 +mulx308 multiply 9 90000000 -> 810000000 +mulx309 multiply 9 900000000 -> 8.10000000E+9 Rounded +mulx310 multiply 9 9000000000 -> 8.10000000E+10 Rounded +mulx311 multiply 9 90000000000 -> 8.10000000E+11 Rounded +mulx312 multiply 9 900000000000 -> 8.10000000E+12 Rounded +mulx313 multiply 9 9000000000000 -> 8.10000000E+13 Rounded +mulx314 multiply 9 90000000000000 -> 8.10000000E+14 Rounded +mulx315 multiply 9 900000000000000 -> 8.10000000E+15 Rounded +mulx316 multiply 9 9000000000000000 -> 8.10000000E+16 Rounded +mulx317 multiply 9 90000000000000000 -> 8.10000000E+17 Rounded +mulx318 multiply 9 900000000000000000 -> 8.10000000E+18 Rounded +mulx319 multiply 9 9000000000000000000 -> 8.10000000E+19 Rounded +mulx320 multiply 9 90000000000000000000 -> 8.10000000E+20 Rounded +mulx321 multiply 9 900000000000000000000 -> 8.10000000E+21 Rounded +mulx322 multiply 9 9000000000000000000000 -> 8.10000000E+22 Rounded +mulx323 multiply 9 90000000000000000000000 -> 8.10000000E+23 Rounded + +-- fastpath breakers +precision: 29 +mulx330 multiply 1.491824697641270317824852952837224 1.105170918075647624811707826490246514675628614562883537345747603 -> 1.6487212707001281468486507878 Inexact Rounded +precision: 55 +mulx331 multiply 0.8958341352965282506768545828765117803873717284891040428 0.8958341352965282506768545828765117803873717284891040428 -> 0.8025187979624784829842553829934069955890983696752228299 Inexact Rounded + + -- tryzeros cases precision: 7 rounding: half_up @@ -486,10 +528,10 @@ mulx751 multiply 1e+777777777 1e+411111111 -> Infinity Overflow Inexact Round mulx752 multiply 1e+777777777 -1e+411111111 -> -Infinity Overflow Inexact Rounded mulx753 multiply -1e+777777777 1e+411111111 -> -Infinity Overflow Inexact Rounded mulx754 multiply -1e+777777777 -1e+411111111 -> Infinity Overflow Inexact Rounded -mulx755 multiply 1e-777777777 1e-411111111 -> 0E-1000000007 Underflow Subnormal Inexact Rounded -mulx756 multiply 1e-777777777 -1e-411111111 -> -0E-1000000007 Underflow Subnormal Inexact Rounded -mulx757 multiply -1e-777777777 1e-411111111 -> -0E-1000000007 Underflow Subnormal Inexact Rounded -mulx758 multiply -1e-777777777 -1e-411111111 -> 0E-1000000007 Underflow Subnormal Inexact Rounded +mulx755 multiply 1e-777777777 1e-411111111 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped +mulx756 multiply 1e-777777777 -1e-411111111 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped +mulx757 multiply -1e-777777777 1e-411111111 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped +mulx758 multiply -1e-777777777 -1e-411111111 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped -- 'subnormal' boundary (all hard underflow or overflow in base arithemtic) precision: 9 @@ -500,9 +542,9 @@ mulx763 multiply 1e-600000000 1e-400000004 -> 1E-1000000004 Subnormal mulx764 multiply 1e-600000000 1e-400000005 -> 1E-1000000005 Subnormal mulx765 multiply 1e-600000000 1e-400000006 -> 1E-1000000006 Subnormal mulx766 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal -mulx767 multiply 1e-600000000 1e-400000008 -> 0E-1000000007 Underflow Subnormal Inexact Rounded -mulx768 multiply 1e-600000000 1e-400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded -mulx769 multiply 1e-600000000 1e-400000010 -> 0E-1000000007 Underflow Subnormal Inexact Rounded +mulx767 multiply 1e-600000000 1e-400000008 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped +mulx768 multiply 1e-600000000 1e-400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped +mulx769 multiply 1e-600000000 1e-400000010 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped -- [no equivalent of 'subnormal' for overflow] mulx770 multiply 1e+600000000 1e+400000001 -> Infinity Overflow Inexact Rounded mulx771 multiply 1e+600000000 1e+400000002 -> Infinity Overflow Inexact Rounded @@ -520,31 +562,31 @@ precision: 99 mulx780 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal mulx781 multiply 1e-600000000 1e-400000008 -> 1E-1000000008 Subnormal mulx782 multiply 1e-600000000 1e-400000097 -> 1E-1000000097 Subnormal -mulx783 multiply 1e-600000000 1e-400000098 -> 0E-1000000097 Underflow Subnormal Inexact Rounded +mulx783 multiply 1e-600000000 1e-400000098 -> 0E-1000000097 Underflow Subnormal Inexact Rounded Clamped precision: 999 mulx784 multiply 1e-600000000 1e-400000997 -> 1E-1000000997 Subnormal -mulx785 multiply 1e-600000000 1e-400000998 -> 0E-1000000997 Underflow Subnormal Inexact Rounded +mulx785 multiply 1e-600000000 1e-400000998 -> 0E-1000000997 Underflow Subnormal Inexact Rounded Clamped -- following testcases [through mulx800] not yet run against code precision: 9999 mulx786 multiply 1e-600000000 1e-400009997 -> 1E-1000009997 Subnormal -mulx787 multiply 1e-600000000 1e-400009998 -> 0E-1000009997 Underflow Subnormal Inexact Rounded +mulx787 multiply 1e-600000000 1e-400009998 -> 0E-1000009997 Underflow Subnormal Inexact Rounded Clamped precision: 99999 mulx788 multiply 1e-600000000 1e-400099997 -> 1E-1000099997 Subnormal -mulx789 multiply 1e-600000000 1e-400099998 -> 0E-1000099997 Underflow Subnormal Inexact Rounded +mulx789 multiply 1e-600000000 1e-400099998 -> 0E-1000099997 Underflow Subnormal Inexact Rounded Clamped precision: 999999 mulx790 multiply 1e-600000000 1e-400999997 -> 1E-1000999997 Subnormal -mulx791 multiply 1e-600000000 1e-400999998 -> 0E-1000999997 Underflow Subnormal Inexact Rounded +mulx791 multiply 1e-600000000 1e-400999998 -> 0E-1000999997 Underflow Subnormal Inexact Rounded Clamped precision: 9999999 mulx792 multiply 1e-600000000 1e-409999997 -> 1E-1009999997 Subnormal -mulx793 multiply 1e-600000000 1e-409999998 -> 0E-1009999997 Underflow Subnormal Inexact Rounded +mulx793 multiply 1e-600000000 1e-409999998 -> 0E-1009999997 Underflow Subnormal Inexact Rounded Clamped precision: 99999999 mulx794 multiply 1e-600000000 1e-499999997 -> 1E-1099999997 Subnormal -mulx795 multiply 1e-600000000 1e-499999998 -> 0E-1099999997 Underflow Subnormal Inexact Rounded +mulx795 multiply 1e-600000000 1e-499999998 -> 0E-1099999997 Underflow Subnormal Inexact Rounded Clamped precision: 999999999 mulx796 multiply 1e-999999999 1e-999999997 -> 1E-1999999996 Subnormal mulx797 multiply 1e-999999999 1e-999999998 -> 1E-1999999997 Subnormal -mulx798 multiply 1e-999999999 1e-999999999 -> 0E-1999999997 Underflow Subnormal Inexact Rounded +mulx798 multiply 1e-999999999 1e-999999999 -> 0E-1999999997 Underflow Subnormal Inexact Rounded Clamped mulx799 multiply 1e-600000000 1e-400000007 -> 1E-1000000007 Subnormal mulx800 multiply 1e-600000000 1e-400000008 -> 1E-1000000008 Subnormal @@ -573,19 +615,19 @@ mulx816 multiply 2.50E-999 1e-4 -> 2E-1003 Underflow Subnormal Inexact mulx817 multiply 2.51E-999 1e-4 -> 3E-1003 Underflow Subnormal Inexact Rounded mulx818 multiply 1E-999 1e-4 -> 1E-1003 Subnormal -mulx819 multiply 3E-999 1e-5 -> 0E-1003 Underflow Subnormal Inexact Rounded -mulx820 multiply 5E-999 1e-5 -> 0E-1003 Underflow Subnormal Inexact Rounded +mulx819 multiply 3E-999 1e-5 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped +mulx820 multiply 5E-999 1e-5 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped mulx821 multiply 7E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded mulx822 multiply 9E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded mulx823 multiply 9.9E-999 1e-5 -> 1E-1003 Underflow Subnormal Inexact Rounded mulx824 multiply 1E-999 -1e-4 -> -1E-1003 Subnormal -mulx825 multiply 3E-999 -1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded -mulx826 multiply -5E-999 1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded +mulx825 multiply 3E-999 -1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped +mulx826 multiply -5E-999 1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped mulx827 multiply 7E-999 -1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded mulx828 multiply -9E-999 1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded mulx829 multiply 9.9E-999 -1e-5 -> -1E-1003 Underflow Subnormal Inexact Rounded -mulx830 multiply 3.0E-999 -1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded +mulx830 multiply 3.0E-999 -1e-5 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped mulx831 multiply 1.0E-501 1e-501 -> 1.0E-1002 Subnormal mulx832 multiply 2.0E-501 2e-501 -> 4.0E-1002 Subnormal @@ -595,7 +637,7 @@ mulx835 multiply 30.0E-501 30e-501 -> 9.000E-1000 Subnormal mulx836 multiply 40.0E-501 40e-501 -> 1.6000E-999 -- squares -mulx840 multiply 1E-502 1e-502 -> 0E-1003 Underflow Subnormal Inexact Rounded +mulx840 multiply 1E-502 1e-502 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped mulx841 multiply 1E-501 1e-501 -> 1E-1002 Subnormal mulx842 multiply 2E-501 2e-501 -> 4E-1002 Subnormal mulx843 multiply 4E-501 4e-501 -> 1.6E-1001 Subnormal @@ -604,7 +646,7 @@ mulx845 multiply 30E-501 30e-501 -> 9.00E-1000 Subnormal mulx846 multiply 40E-501 40e-501 -> 1.600E-999 -- cubes -mulx850 multiply 1E-670 1e-335 -> 0E-1003 Underflow Subnormal Inexact Rounded +mulx850 multiply 1E-670 1e-335 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped mulx851 multiply 1E-668 1e-334 -> 1E-1002 Subnormal mulx852 multiply 4E-668 2e-334 -> 8E-1002 Subnormal mulx853 multiply 9E-668 3e-334 -> 2.7E-1001 Subnormal @@ -612,7 +654,7 @@ mulx854 multiply 16E-668 4e-334 -> 6.4E-1001 Subnormal mulx855 multiply 25E-668 5e-334 -> 1.25E-1000 Subnormal mulx856 multiply 10E-668 100e-334 -> 1.000E-999 --- test from 0.099 ** 999 at 15 digits +-- test derived from result of 0.099 ** 999 at 15 digits with unlimited exponent precision: 19 mulx860 multiply 6636851557994578716E-520 6636851557994578716E-520 -> 4.40477986028551E-1003 Underflow Subnormal Inexact Rounded @@ -629,14 +671,16 @@ mulx873 multiply -9.999E+999999999 1 -> -Infinity Inexact Overflow Rounded precision: 5 maxexponent: 79 minexponent: -79 -mulx881 multiply 1.2347E-40 1.2347E-40 -> 1.524E-80 Inexact Rounded Subnormal Underflow -mulx882 multiply 1.234E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow -mulx883 multiply 1.23E-40 1.23E-40 -> 1.513E-80 Inexact Rounded Subnormal Underflow -mulx884 multiply 1.2E-40 1.2E-40 -> 1.44E-80 Subnormal -mulx885 multiply 1.2E-40 1.2E-41 -> 1.44E-81 Subnormal -mulx886 multiply 1.2E-40 1.2E-42 -> 1.4E-82 Subnormal Inexact Rounded Underflow -mulx887 multiply 1.2E-40 1.3E-42 -> 1.6E-82 Subnormal Inexact Rounded Underflow -mulx888 multiply 1.3E-40 1.3E-42 -> 1.7E-82 Subnormal Inexact Rounded Underflow +mulx881 multiply 1.2347E-40 1.2347E-40 -> 1.524E-80 Inexact Rounded Subnormal Underflow +mulx882 multiply 1.234E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnormal Underflow +mulx883 multiply 1.23E-40 1.23E-40 -> 1.513E-80 Inexact Rounded Subnormal Underflow +mulx884 multiply 1.2E-40 1.2E-40 -> 1.44E-80 Subnormal +mulx885 multiply 1.2E-40 1.2E-41 -> 1.44E-81 Subnormal +mulx886 multiply 1.2E-40 1.2E-42 -> 1.4E-82 Subnormal Inexact Rounded Underflow +mulx887 multiply 1.2E-40 1.3E-42 -> 1.6E-82 Subnormal Inexact Rounded Underflow +mulx888 multiply 1.3E-40 1.3E-42 -> 1.7E-82 Subnormal Inexact Rounded Underflow +mulx889 multiply 1.3E-40 1.3E-43 -> 2E-83 Subnormal Inexact Rounded Underflow +mulx890 multiply 1.3E-41 1.3E-43 -> 0E-83 Clamped Subnormal Inexact Rounded Underflow mulx891 multiply 1.2345E-39 1.234E-40 -> 1.5234E-79 Inexact Rounded mulx892 multiply 1.23456E-39 1.234E-40 -> 1.5234E-79 Inexact Rounded @@ -645,7 +689,43 @@ mulx894 multiply 1.23456E-40 1.234E-40 -> 1.523E-80 Inexact Rounded Subnorm mulx895 multiply 1.2345E-41 1.234E-40 -> 1.52E-81 Inexact Rounded Subnormal Underflow mulx896 multiply 1.23456E-41 1.234E-40 -> 1.52E-81 Inexact Rounded Subnormal Underflow +-- Now explore the case where we get a normal result with Underflow +precision: 16 +rounding: half_up +maxExponent: 384 +minExponent: -383 + +mulx900 multiply 0.3000000000E-191 0.3000000000E-191 -> 9.00000000000000E-384 Subnormal Rounded +mulx901 multiply 0.3000000001E-191 0.3000000001E-191 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded +mulx902 multiply 9.999999999999999E-383 0.0999999999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded +mulx903 multiply 9.999999999999999E-383 0.09999999999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded +mulx904 multiply 9.999999999999999E-383 0.099999999999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded +mulx905 multiply 9.999999999999999E-383 0.0999999999999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded +-- prove operands are exact +mulx906 multiply 9.999999999999999E-383 1 -> 9.999999999999999E-383 +mulx907 multiply 1 0.09999999999999999 -> 0.09999999999999999 +-- the next rounds to Nmin +mulx908 multiply 9.999999999999999E-383 0.09999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded +mulx909 multiply 9.999999999999999E-383 0.099999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded +mulx910 multiply 9.999999999999999E-383 0.0999999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded +mulx911 multiply 9.999999999999999E-383 0.09999999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded + + +-- Examples from SQL proposal (Krishna Kulkarni) +precision: 34 +rounding: half_up +maxExponent: 6144 +minExponent: -6143 +mulx1001 multiply 130E-2 120E-2 -> 1.5600 +mulx1002 multiply 130E-2 12E-1 -> 1.560 +mulx1003 multiply 130E-2 1E0 -> 1.30 +mulx1004 multiply 1E2 1E4 -> 1E+6 + +-- payload decapitate +precision: 5 +mulx1010 multiply 11 -sNaN1234567890 -> -NaN67890 Invalid_operation + -- Null tests -mulx900 multiply 10 # -> NaN Invalid_operation -mulx901 multiply # 10 -> NaN Invalid_operation +mulx990 multiply 10 # -> NaN Invalid_operation +mulx991 multiply # 10 -> NaN Invalid_operation |