cpython/Doc/library/numbers.rst

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Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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:mod:`numbers` --- Numeric abstract base classes
================================================
.. module:: numbers
:synopsis: Numeric abstract base classes (Complex, Real, Integral, etc.).
**Source code:** :source:`Lib/numbers.py`
--------------
Merged revisions 59703-59773 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59704 | christian.heimes | 2008-01-04 04:15:05 +0100 (Fri, 04 Jan 2008) | 1 line Moved include "Python.h" in front of other imports to silence a warning. ........ r59706 | raymond.hettinger | 2008-01-04 04:22:53 +0100 (Fri, 04 Jan 2008) | 10 lines Minor fix-ups to named tuples: * Make the _replace() method respect subclassing. * Using property() to make _fields read-only wasn't a good idea. It caused len(Point._fields) to fail. * Add note to _cast() about length checking and alternative with the star-operator. ........ r59707 | jeffrey.yasskin | 2008-01-04 09:01:23 +0100 (Fri, 04 Jan 2008) | 3 lines Make math.{floor,ceil}({int,long}) return float again for backwards compatibility after r59671 made them return integral types. ........ r59709 | christian.heimes | 2008-01-04 14:21:07 +0100 (Fri, 04 Jan 2008) | 1 line Bug #1713: posixpath.ismount() claims symlink to a mountpoint is a mountpoint. ........ r59712 | lars.gustaebel | 2008-01-04 15:00:33 +0100 (Fri, 04 Jan 2008) | 5 lines Issue #1735: TarFile.extractall() now correctly sets directory permissions and times. (will backport to 2.5) ........ r59714 | andrew.kuchling | 2008-01-04 15:47:17 +0100 (Fri, 04 Jan 2008) | 1 line Update links to bug/patch tracker ........ r59716 | christian.heimes | 2008-01-04 16:23:30 +0100 (Fri, 04 Jan 2008) | 1 line Added interface to Windows' WSAIoctl and a simple example for a network sniffer. ........ r59717 | christian.heimes | 2008-01-04 16:29:00 +0100 (Fri, 04 Jan 2008) | 1 line And here is the rest of Hirokazu Yamamoto's patch for VS6.0 support. Thanks Hiro! ........ r59719 | christian.heimes | 2008-01-04 16:34:06 +0100 (Fri, 04 Jan 2008) | 1 line Reverted last transaction. It's the wrong branch. ........ r59721 | christian.heimes | 2008-01-04 16:48:06 +0100 (Fri, 04 Jan 2008) | 1 line socket.ioctl is only available on Windows ........ r59722 | andrew.kuchling | 2008-01-04 19:24:41 +0100 (Fri, 04 Jan 2008) | 1 line Fix markup ........ r59723 | andrew.kuchling | 2008-01-04 19:25:05 +0100 (Fri, 04 Jan 2008) | 1 line Fix markup ........ r59725 | guido.van.rossum | 2008-01-05 01:59:59 +0100 (Sat, 05 Jan 2008) | 3 lines Patch #1725 by Mark Dickinson, fixes incorrect conversion of -1e1000 and adds errors for -0x. ........ r59726 | guido.van.rossum | 2008-01-05 02:21:57 +0100 (Sat, 05 Jan 2008) | 2 lines Patch #1698 by Senthil: allow '@' in username when parsed by urlparse.py. ........ r59727 | raymond.hettinger | 2008-01-05 02:35:43 +0100 (Sat, 05 Jan 2008) | 1 line Improve namedtuple's _cast() method with a docstring, new name, and error-checking. ........ r59728 | raymond.hettinger | 2008-01-05 03:17:24 +0100 (Sat, 05 Jan 2008) | 1 line Add error-checking to namedtuple's _replace() method. ........ r59730 | fred.drake | 2008-01-05 05:38:38 +0100 (Sat, 05 Jan 2008) | 2 lines clean up a comment ........ r59731 | jeffrey.yasskin | 2008-01-05 09:47:13 +0100 (Sat, 05 Jan 2008) | 11 lines Continue rolling back pep-3141 changes that changed behavior from 2.5. This round included: * Revert round to its 2.6 behavior (half away from 0). * Because round, floor, and ceil always return float again, it's no longer necessary to have them delegate to __xxx___, so I've ripped that out of their implementations and the Real ABC. This also helps in implementing types that work in both 2.6 and 3.0: you return int from the __xxx__ methods, and let it get enabled by the version upgrade. * Make pow(-1, .5) raise a ValueError again. ........ r59736 | andrew.kuchling | 2008-01-05 16:13:49 +0100 (Sat, 05 Jan 2008) | 1 line Fix comment typo ........ r59738 | thomas.heller | 2008-01-05 18:15:44 +0100 (Sat, 05 Jan 2008) | 1 line Add myself. ........ r59739 | georg.brandl | 2008-01-05 18:49:17 +0100 (Sat, 05 Jan 2008) | 2 lines Fix C++-style comment. ........ r59742 | georg.brandl | 2008-01-05 20:28:16 +0100 (Sat, 05 Jan 2008) | 2 lines Remove with_statement future imports from 2.6 docs. ........ r59743 | georg.brandl | 2008-01-05 20:29:45 +0100 (Sat, 05 Jan 2008) | 2 lines Simplify index entries; fix #1712. ........ r59744 | georg.brandl | 2008-01-05 20:44:22 +0100 (Sat, 05 Jan 2008) | 2 lines Doc patch #1730 from Robin Stocker; minor corrections mostly to os.rst. ........ r59749 | georg.brandl | 2008-01-05 21:29:13 +0100 (Sat, 05 Jan 2008) | 2 lines Revert socket.rst to unix-eol. ........ r59750 | georg.brandl | 2008-01-05 21:33:46 +0100 (Sat, 05 Jan 2008) | 2 lines Set native svn:eol-style property for text files. ........ r59752 | georg.brandl | 2008-01-05 21:46:29 +0100 (Sat, 05 Jan 2008) | 2 lines #1719: capitalization error in "UuidCreate". ........ r59753 | georg.brandl | 2008-01-05 22:02:25 +0100 (Sat, 05 Jan 2008) | 2 lines Repair markup. ........ r59754 | georg.brandl | 2008-01-05 22:10:50 +0100 (Sat, 05 Jan 2008) | 2 lines Use markup. ........ r59757 | christian.heimes | 2008-01-05 22:35:52 +0100 (Sat, 05 Jan 2008) | 1 line Final adjustments for #1601 ........ r59758 | guido.van.rossum | 2008-01-05 23:19:06 +0100 (Sat, 05 Jan 2008) | 3 lines Patch #1637: fix urlparse for URLs like 'http://x.com?arg=/foo'. Fix by John Nagle. ........ r59759 | guido.van.rossum | 2008-01-05 23:20:01 +0100 (Sat, 05 Jan 2008) | 2 lines Add John Nagle (of issue #1637). ........ r59765 | raymond.hettinger | 2008-01-06 10:02:24 +0100 (Sun, 06 Jan 2008) | 1 line Small code simplification. Forgot that classmethods can be called from intances. ........ r59766 | martin.v.loewis | 2008-01-06 11:09:48 +0100 (Sun, 06 Jan 2008) | 2 lines Use vcbuild for VS 2009. ........ r59767 | martin.v.loewis | 2008-01-06 12:03:43 +0100 (Sun, 06 Jan 2008) | 2 lines Package using VS 2008. ........ r59768 | martin.v.loewis | 2008-01-06 12:13:16 +0100 (Sun, 06 Jan 2008) | 2 lines Don't try to package msvcr90 for the moment. ........ r59769 | georg.brandl | 2008-01-06 15:17:36 +0100 (Sun, 06 Jan 2008) | 4 lines #1696393: don't check for '.' and '..' in ntpath.walk since they aren't returned from os.listdir anymore. Reported by Michael Haggerty. ........ r59770 | georg.brandl | 2008-01-06 15:27:15 +0100 (Sun, 06 Jan 2008) | 3 lines #1742: don't raise exception on os.path.relpath("a", "a"), but return os.curdir. Reported by Jesse Towner. ........ r59771 | georg.brandl | 2008-01-06 15:33:52 +0100 (Sun, 06 Jan 2008) | 2 lines #1591: Clarify docstring of Popen3. ........ r59772 | georg.brandl | 2008-01-06 16:30:34 +0100 (Sun, 06 Jan 2008) | 2 lines #1680: fix context manager example function name. ........ r59773 | georg.brandl | 2008-01-06 16:34:57 +0100 (Sun, 06 Jan 2008) | 2 lines #1755097: document default values for [].sort() and sorted(). ........
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The :mod:`numbers` module (:pep:`3141`) defines a hierarchy of numeric
:term:`abstract base classes <abstract base class>` which progressively define
more operations. None of the types defined in this module can be instantiated.
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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.. class:: Number
The root of the numeric hierarchy. If you just want to check if an argument
*x* is a number, without caring what kind, use ``isinstance(x, Number)``.
The numeric tower
-----------------
.. class:: Complex
Subclasses of this type describe complex numbers and include the operations
Merged revisions 73941-73943,74076,74094,74186,74211-74214,74247,74254,74262,74311,74334,74368 via svnmerge from svn+ssh://svn.python.org/python/branches/py3k ................ r73941 | georg.brandl | 2009-07-11 12:39:00 +0200 (Sa, 11 Jul 2009) | 9 lines Merged revisions 73940 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r73940 | georg.brandl | 2009-07-11 12:37:38 +0200 (Sa, 11 Jul 2009) | 1 line #6430: add note about size of "u" type. ........ ................ r73942 | georg.brandl | 2009-07-11 12:39:23 +0200 (Sa, 11 Jul 2009) | 1 line #6430: remove mention of "w" array typecode. ................ r73943 | georg.brandl | 2009-07-11 12:43:08 +0200 (Sa, 11 Jul 2009) | 1 line #6421: The self argument of module-level PyCFunctions is now a reference to the module object. ................ r74076 | georg.brandl | 2009-07-18 11:07:48 +0200 (Sa, 18 Jul 2009) | 1 line #6502: add missing comma in docstring. ................ r74094 | georg.brandl | 2009-07-19 09:25:56 +0200 (So, 19 Jul 2009) | 10 lines Recorded merge of revisions 74089 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r74089 | senthil.kumaran | 2009-07-19 04:43:43 +0200 (So, 19 Jul 2009) | 3 lines Fix for issue5102, timeout value propages between redirects, proxy, digest and auth handlers. Fixed tests to reflect the same. ........ ................ r74186 | georg.brandl | 2009-07-23 11:19:09 +0200 (Do, 23 Jul 2009) | 9 lines Recorded merge of revisions 74185 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r74185 | georg.brandl | 2009-07-23 11:17:09 +0200 (Do, 23 Jul 2009) | 1 line Fix the "pylocals" gdb command. ........ ................ r74211 | georg.brandl | 2009-07-26 16:48:09 +0200 (So, 26 Jul 2009) | 9 lines Recorded merge of revisions 74210 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r74210 | georg.brandl | 2009-07-26 16:44:23 +0200 (So, 26 Jul 2009) | 1 line Move member descriptions inside the classes. ........ ................ r74212 | georg.brandl | 2009-07-26 16:54:51 +0200 (So, 26 Jul 2009) | 9 lines Merged revisions 74209 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r74209 | georg.brandl | 2009-07-26 16:37:28 +0200 (So, 26 Jul 2009) | 1 line builtin -> built-in. ........ ................ r74213 | georg.brandl | 2009-07-26 17:02:41 +0200 (So, 26 Jul 2009) | 9 lines Merged revisions 74207 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r74207 | georg.brandl | 2009-07-26 16:19:57 +0200 (So, 26 Jul 2009) | 1 line #6577: fix (hopefully) all links to builtin instead of module/class-specific objects. ........ ................ r74214 | georg.brandl | 2009-07-26 17:03:49 +0200 (So, 26 Jul 2009) | 9 lines Merged revisions 74205 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r74205 | georg.brandl | 2009-07-26 15:36:39 +0200 (So, 26 Jul 2009) | 1 line #6576: fix cross-refs in re docs. ........ ................ r74247 | georg.brandl | 2009-07-29 09:27:08 +0200 (Mi, 29 Jul 2009) | 9 lines Merged revisions 74239 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r74239 | georg.brandl | 2009-07-28 18:55:32 +0000 (Di, 28 Jul 2009) | 1 line Clarify quote_plus() usage. ........ ................ r74254 | georg.brandl | 2009-07-29 18:14:16 +0200 (Mi, 29 Jul 2009) | 1 line #6586: fix return/argument type doc for os.read() and os.write(). ................ r74262 | alexandre.vassalotti | 2009-07-29 21:54:39 +0200 (Mi, 29 Jul 2009) | 57 lines Merged revisions 74074,74077,74111,74188,74192-74193,74200,74252-74253,74258-74261 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r74074 | georg.brandl | 2009-07-18 05:03:10 -0400 (Sat, 18 Jul 2009) | 1 line #6513: fix example code: warning categories are classes, not instances. ........ r74077 | georg.brandl | 2009-07-18 05:43:40 -0400 (Sat, 18 Jul 2009) | 1 line #6489: fix an ambiguity in getiterator() documentation. ........ r74111 | benjamin.peterson | 2009-07-20 09:30:10 -0400 (Mon, 20 Jul 2009) | 1 line remove docs for deprecated -p option ........ r74188 | benjamin.peterson | 2009-07-23 10:25:31 -0400 (Thu, 23 Jul 2009) | 1 line use bools ........ r74192 | georg.brandl | 2009-07-24 12:28:38 -0400 (Fri, 24 Jul 2009) | 1 line Fix arg types of et#. ........ r74193 | georg.brandl | 2009-07-24 12:46:38 -0400 (Fri, 24 Jul 2009) | 1 line Dont put "void" in signature for nullary functions. ........ r74200 | georg.brandl | 2009-07-25 09:02:15 -0400 (Sat, 25 Jul 2009) | 1 line #6571: add index entries for more operators. ........ r74252 | georg.brandl | 2009-07-29 12:06:31 -0400 (Wed, 29 Jul 2009) | 1 line #6593: fix link targets. ........ r74253 | georg.brandl | 2009-07-29 12:09:17 -0400 (Wed, 29 Jul 2009) | 1 line #6591: add reference to ioctl in fcntl module for platforms other than Windows. ........ r74258 | georg.brandl | 2009-07-29 12:57:05 -0400 (Wed, 29 Jul 2009) | 1 line Add a link to readline, and mention IPython and bpython. ........ r74259 | georg.brandl | 2009-07-29 13:07:21 -0400 (Wed, 29 Jul 2009) | 1 line Fix some markup and small factual glitches found by M. Markert. ........ r74260 | georg.brandl | 2009-07-29 13:15:20 -0400 (Wed, 29 Jul 2009) | 1 line Fix a few markup glitches. ........ r74261 | georg.brandl | 2009-07-29 13:50:25 -0400 (Wed, 29 Jul 2009) | 1 line Rewrite the section about classes a bit; mostly tidbits, and a larger update to the section about "private" variables to reflect the Pythonic consensus better. ........ ................ r74311 | georg.brandl | 2009-08-04 22:29:27 +0200 (Di, 04 Aug 2009) | 1 line Slightly improve buffer-related error message. ................ r74334 | georg.brandl | 2009-08-06 19:51:03 +0200 (Do, 06 Aug 2009) | 1 line #6648: mention surrogateescape handler where all standard handlers are listed. ................ r74368 | georg.brandl | 2009-08-13 09:56:35 +0200 (Do, 13 Aug 2009) | 21 lines Merged revisions 74328,74332-74333,74365 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r74328 | georg.brandl | 2009-08-06 17:06:25 +0200 (Do, 06 Aug 2009) | 1 line Fix base keyword arg name for int() and long(). ........ r74332 | georg.brandl | 2009-08-06 19:23:21 +0200 (Do, 06 Aug 2009) | 1 line Fix punctuation and one copy-paste error. ........ r74333 | georg.brandl | 2009-08-06 19:43:55 +0200 (Do, 06 Aug 2009) | 1 line #6658: fix two typos. ........ r74365 | georg.brandl | 2009-08-13 09:48:05 +0200 (Do, 13 Aug 2009) | 1 line #6679: Remove mention that sub supports no flags. ........ ................
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that work on the built-in :class:`complex` type. These are: conversions to
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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:class:`complex` and :class:`bool`, :attr:`.real`, :attr:`.imag`, ``+``,
``-``, ``*``, ``/``, :func:`abs`, :meth:`conjugate`, ``==``, and ``!=``. All
except ``-`` and ``!=`` are abstract.
.. attribute:: real
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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Abstract. Retrieves the real component of this number.
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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.. attribute:: imag
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
2008-01-03 19:01:04 -04:00
Abstract. Retrieves the imaginary component of this number.
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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.. abstractmethod:: conjugate()
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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Abstract. Returns the complex conjugate. For example, ``(1+3j).conjugate()
== (1-3j)``.
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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.. class:: Real
To :class:`Complex`, :class:`Real` adds the operations that work on real
numbers.
2011-03-12 13:58:15 -04:00
In short, those are: a conversion to :class:`float`, :func:`math.trunc`,
:func:`round`, :func:`math.floor`, :func:`math.ceil`, :func:`divmod`, ``//``,
``%``, ``<``, ``<=``, ``>``, and ``>=``.
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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Real also provides defaults for :func:`complex`, :attr:`~Complex.real`,
:attr:`~Complex.imag`, and :meth:`~Complex.conjugate`.
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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.. class:: Rational
Subtypes :class:`Real` and adds
:attr:`~Rational.numerator` and :attr:`~Rational.denominator` properties, which
should be in lowest terms. With these, it provides a default for
:func:`float`.
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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.. attribute:: numerator
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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Abstract.
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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.. attribute:: denominator
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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Abstract.
Merged revisions 59666-59679 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r59666 | christian.heimes | 2008-01-02 19:28:32 +0100 (Wed, 02 Jan 2008) | 1 line Made vs9to8 Unix compatible ........ r59669 | guido.van.rossum | 2008-01-02 20:00:46 +0100 (Wed, 02 Jan 2008) | 2 lines Patch #1696. Don't attempt to close None in dry-run mode. ........ r59671 | jeffrey.yasskin | 2008-01-03 03:21:52 +0100 (Thu, 03 Jan 2008) | 6 lines Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just the complex_pow part), r56649, r56652, r56715, r57296, r57302, r57359, r57361, r57372, r57738, r57739, r58017, r58039, r58040, and r59390, and new documentation. The only significant difference is that round(x) returns a float to preserve backward-compatibility. See http://bugs.python.org/issue1689. ........ r59672 | christian.heimes | 2008-01-03 16:41:30 +0100 (Thu, 03 Jan 2008) | 1 line Issue #1726: Remove Python/atof.c from PCBuild/pythoncore.vcproj ........ r59675 | guido.van.rossum | 2008-01-03 20:12:44 +0100 (Thu, 03 Jan 2008) | 4 lines Issue #1700, reported by Nguyen Quan Son, fix by Fredruk Lundh: Regular Expression inline flags not handled correctly for some unicode characters. (Forward port from 2.5.2.) ........ r59676 | christian.heimes | 2008-01-03 21:23:15 +0100 (Thu, 03 Jan 2008) | 1 line Added math.isinf() and math.isnan() ........ r59677 | christian.heimes | 2008-01-03 22:14:48 +0100 (Thu, 03 Jan 2008) | 1 line Some build bots don't compile mathmodule. There is an issue with the long definition of pi and euler ........ r59678 | christian.heimes | 2008-01-03 23:16:32 +0100 (Thu, 03 Jan 2008) | 2 lines Modified PyImport_Import and PyImport_ImportModule to always use absolute imports by calling __import__ with an explicit level of 0 Added a new API function PyImport_ImportModuleNoBlock. It solves the problem with dead locks when mixing threads and imports ........ r59679 | christian.heimes | 2008-01-03 23:32:26 +0100 (Thu, 03 Jan 2008) | 1 line Added copysign(x, y) function to the math module ........
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.. class:: Integral
Subtypes :class:`Rational` and adds a conversion to :class:`int`. Provides
defaults for :func:`float`, :attr:`~Rational.numerator`, and
:attr:`~Rational.denominator`. Adds abstract methods for ``**`` and
bit-string operations: ``<<``, ``>>``, ``&``, ``^``, ``|``, ``~``.
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Notes for type implementors
---------------------------
Implementors should be careful to make equal numbers equal and hash
them to the same values. This may be subtle if there are two different
Merged revisions 60481,60485,60489-60492,60494-60496,60498-60499,60501-60503,60505-60506,60508-60509,60523-60524,60532,60543,60545,60547-60548,60552,60554,60556-60559,60561-60562,60569,60571-60572,60574,60576-60583,60585-60586,60589,60591,60594-60595,60597-60598,60600-60601,60606-60612,60615,60617,60619-60621,60623-60625,60627-60629,60631,60633,60635,60647,60650,60652,60654,60656,60658-60659,60664-60666,60668-60670,60672,60676,60678,60680-60683,60685-60686,60688,60690,60692-60694,60697-60706,60708-60712,60714-60724 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r60701 | georg.brandl | 2008-02-09 22:36:15 +0100 (Sat, 09 Feb 2008) | 2 lines Needs only 2.4 now. ........ r60702 | georg.brandl | 2008-02-09 22:38:54 +0100 (Sat, 09 Feb 2008) | 2 lines Docs are rst now. ........ r60703 | georg.brandl | 2008-02-09 23:00:00 +0100 (Sat, 09 Feb 2008) | 2 lines Fix link. ........ r60704 | georg.brandl | 2008-02-10 00:09:25 +0100 (Sun, 10 Feb 2008) | 2 lines Fix for newest doctools. ........ r60709 | raymond.hettinger | 2008-02-10 08:21:09 +0100 (Sun, 10 Feb 2008) | 1 line Clarify that decimal also supports fixed-point arithmetic. ........ r60710 | nick.coghlan | 2008-02-10 08:32:52 +0100 (Sun, 10 Feb 2008) | 1 line Add missing NEWS entry for r60695 ........ r60712 | mark.dickinson | 2008-02-10 15:58:38 +0100 (Sun, 10 Feb 2008) | 3 lines Turn classmethods into staticmethods, and avoid calling the constructor of subclasses of Rational. (See discussion in issue #1682.) ........ r60715 | mark.dickinson | 2008-02-10 16:19:58 +0100 (Sun, 10 Feb 2008) | 2 lines Typos in decimal comment and documentation ........ r60716 | skip.montanaro | 2008-02-10 16:31:54 +0100 (Sun, 10 Feb 2008) | 2 lines Get the saying right. ;-) ........ r60717 | skip.montanaro | 2008-02-10 16:32:16 +0100 (Sun, 10 Feb 2008) | 2 lines whoops - revert ........ r60718 | mark.dickinson | 2008-02-10 20:23:36 +0100 (Sun, 10 Feb 2008) | 2 lines Remove reference to Rational ........ r60719 | raymond.hettinger | 2008-02-10 21:35:16 +0100 (Sun, 10 Feb 2008) | 1 line Complete an open todo on pickletools -- add a pickle optimizer. ........ r60721 | mark.dickinson | 2008-02-10 22:29:51 +0100 (Sun, 10 Feb 2008) | 3 lines Rename rational.Rational to fractions.Fraction, to avoid name clash with numbers.Rational. See issue #1682 for related discussion. ........ r60722 | christian.heimes | 2008-02-11 03:26:22 +0100 (Mon, 11 Feb 2008) | 1 line The test requires the network resource ........ r60723 | mark.dickinson | 2008-02-11 04:11:55 +0100 (Mon, 11 Feb 2008) | 3 lines Put an extra space into the repr of a Fraction: Fraction(1, 2) instead of Fraction(1,2). ........
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extensions of the real numbers. For example, :class:`fractions.Fraction`
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implements :func:`hash` as follows::
def __hash__(self):
if self.denominator == 1:
# Get integers right.
return hash(self.numerator)
# Expensive check, but definitely correct.
if self == float(self):
return hash(float(self))
else:
# Use tuple's hash to avoid a high collision rate on
# simple fractions.
return hash((self.numerator, self.denominator))
Adding More Numeric ABCs
~~~~~~~~~~~~~~~~~~~~~~~~
There are, of course, more possible ABCs for numbers, and this would
be a poor hierarchy if it precluded the possibility of adding
those. You can add ``MyFoo`` between :class:`Complex` and
:class:`Real` with::
class MyFoo(Complex): ...
MyFoo.register(Real)
.. _implementing-the-arithmetic-operations:
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Implementing the arithmetic operations
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
We want to implement the arithmetic operations so that mixed-mode
operations either call an implementation whose author knew about the
types of both arguments, or convert both to the nearest built in type
and do the operation there. For subtypes of :class:`Integral`, this
means that :meth:`__add__` and :meth:`__radd__` should be defined as::
class MyIntegral(Integral):
def __add__(self, other):
if isinstance(other, MyIntegral):
return do_my_adding_stuff(self, other)
elif isinstance(other, OtherTypeIKnowAbout):
return do_my_other_adding_stuff(self, other)
else:
return NotImplemented
def __radd__(self, other):
if isinstance(other, MyIntegral):
return do_my_adding_stuff(other, self)
elif isinstance(other, OtherTypeIKnowAbout):
return do_my_other_adding_stuff(other, self)
elif isinstance(other, Integral):
return int(other) + int(self)
elif isinstance(other, Real):
return float(other) + float(self)
elif isinstance(other, Complex):
return complex(other) + complex(self)
else:
return NotImplemented
There are 5 different cases for a mixed-type operation on subclasses
of :class:`Complex`. I'll refer to all of the above code that doesn't
refer to ``MyIntegral`` and ``OtherTypeIKnowAbout`` as
"boilerplate". ``a`` will be an instance of ``A``, which is a subtype
of :class:`Complex` (``a : A <: Complex``), and ``b : B <:
Complex``. I'll consider ``a + b``:
1. If ``A`` defines an :meth:`__add__` which accepts ``b``, all is
well.
2. If ``A`` falls back to the boilerplate code, and it were to
return a value from :meth:`__add__`, we'd miss the possibility
that ``B`` defines a more intelligent :meth:`__radd__`, so the
boilerplate should return :const:`NotImplemented` from
:meth:`__add__`. (Or ``A`` may not implement :meth:`__add__` at
all.)
3. Then ``B``'s :meth:`__radd__` gets a chance. If it accepts
``a``, all is well.
4. If it falls back to the boilerplate, there are no more possible
methods to try, so this is where the default implementation
should live.
5. If ``B <: A``, Python tries ``B.__radd__`` before
``A.__add__``. This is ok, because it was implemented with
knowledge of ``A``, so it can handle those instances before
delegating to :class:`Complex`.
If ``A <: Complex`` and ``B <: Real`` without sharing any other knowledge,
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then the appropriate shared operation is the one involving the built
in :class:`complex`, and both :meth:`__radd__` s land there, so ``a+b
== b+a``.
Because most of the operations on any given type will be very similar,
it can be useful to define a helper function which generates the
forward and reverse instances of any given operator. For example,
Merged revisions 60481,60485,60489-60492,60494-60496,60498-60499,60501-60503,60505-60506,60508-60509,60523-60524,60532,60543,60545,60547-60548,60552,60554,60556-60559,60561-60562,60569,60571-60572,60574,60576-60583,60585-60586,60589,60591,60594-60595,60597-60598,60600-60601,60606-60612,60615,60617,60619-60621,60623-60625,60627-60629,60631,60633,60635,60647,60650,60652,60654,60656,60658-60659,60664-60666,60668-60670,60672,60676,60678,60680-60683,60685-60686,60688,60690,60692-60694,60697-60706,60708-60712,60714-60724 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r60701 | georg.brandl | 2008-02-09 22:36:15 +0100 (Sat, 09 Feb 2008) | 2 lines Needs only 2.4 now. ........ r60702 | georg.brandl | 2008-02-09 22:38:54 +0100 (Sat, 09 Feb 2008) | 2 lines Docs are rst now. ........ r60703 | georg.brandl | 2008-02-09 23:00:00 +0100 (Sat, 09 Feb 2008) | 2 lines Fix link. ........ r60704 | georg.brandl | 2008-02-10 00:09:25 +0100 (Sun, 10 Feb 2008) | 2 lines Fix for newest doctools. ........ r60709 | raymond.hettinger | 2008-02-10 08:21:09 +0100 (Sun, 10 Feb 2008) | 1 line Clarify that decimal also supports fixed-point arithmetic. ........ r60710 | nick.coghlan | 2008-02-10 08:32:52 +0100 (Sun, 10 Feb 2008) | 1 line Add missing NEWS entry for r60695 ........ r60712 | mark.dickinson | 2008-02-10 15:58:38 +0100 (Sun, 10 Feb 2008) | 3 lines Turn classmethods into staticmethods, and avoid calling the constructor of subclasses of Rational. (See discussion in issue #1682.) ........ r60715 | mark.dickinson | 2008-02-10 16:19:58 +0100 (Sun, 10 Feb 2008) | 2 lines Typos in decimal comment and documentation ........ r60716 | skip.montanaro | 2008-02-10 16:31:54 +0100 (Sun, 10 Feb 2008) | 2 lines Get the saying right. ;-) ........ r60717 | skip.montanaro | 2008-02-10 16:32:16 +0100 (Sun, 10 Feb 2008) | 2 lines whoops - revert ........ r60718 | mark.dickinson | 2008-02-10 20:23:36 +0100 (Sun, 10 Feb 2008) | 2 lines Remove reference to Rational ........ r60719 | raymond.hettinger | 2008-02-10 21:35:16 +0100 (Sun, 10 Feb 2008) | 1 line Complete an open todo on pickletools -- add a pickle optimizer. ........ r60721 | mark.dickinson | 2008-02-10 22:29:51 +0100 (Sun, 10 Feb 2008) | 3 lines Rename rational.Rational to fractions.Fraction, to avoid name clash with numbers.Rational. See issue #1682 for related discussion. ........ r60722 | christian.heimes | 2008-02-11 03:26:22 +0100 (Mon, 11 Feb 2008) | 1 line The test requires the network resource ........ r60723 | mark.dickinson | 2008-02-11 04:11:55 +0100 (Mon, 11 Feb 2008) | 3 lines Put an extra space into the repr of a Fraction: Fraction(1, 2) instead of Fraction(1,2). ........
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:class:`fractions.Fraction` uses::
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def _operator_fallbacks(monomorphic_operator, fallback_operator):
def forward(a, b):
if isinstance(b, (int, Fraction)):
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return monomorphic_operator(a, b)
elif isinstance(b, float):
return fallback_operator(float(a), b)
elif isinstance(b, complex):
return fallback_operator(complex(a), b)
else:
return NotImplemented
forward.__name__ = '__' + fallback_operator.__name__ + '__'
forward.__doc__ = monomorphic_operator.__doc__
def reverse(b, a):
Merged revisions 60481,60485,60489-60492,60494-60496,60498-60499,60501-60503,60505-60506,60508-60509,60523-60524,60532,60543,60545,60547-60548,60552,60554,60556-60559,60561-60562,60569,60571-60572,60574,60576-60583,60585-60586,60589,60591,60594-60595,60597-60598,60600-60601,60606-60612,60615,60617,60619-60621,60623-60625,60627-60629,60631,60633,60635,60647,60650,60652,60654,60656,60658-60659,60664-60666,60668-60670,60672,60676,60678,60680-60683,60685-60686,60688,60690,60692-60694,60697-60706,60708-60712,60714-60724 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r60701 | georg.brandl | 2008-02-09 22:36:15 +0100 (Sat, 09 Feb 2008) | 2 lines Needs only 2.4 now. ........ r60702 | georg.brandl | 2008-02-09 22:38:54 +0100 (Sat, 09 Feb 2008) | 2 lines Docs are rst now. ........ r60703 | georg.brandl | 2008-02-09 23:00:00 +0100 (Sat, 09 Feb 2008) | 2 lines Fix link. ........ r60704 | georg.brandl | 2008-02-10 00:09:25 +0100 (Sun, 10 Feb 2008) | 2 lines Fix for newest doctools. ........ r60709 | raymond.hettinger | 2008-02-10 08:21:09 +0100 (Sun, 10 Feb 2008) | 1 line Clarify that decimal also supports fixed-point arithmetic. ........ r60710 | nick.coghlan | 2008-02-10 08:32:52 +0100 (Sun, 10 Feb 2008) | 1 line Add missing NEWS entry for r60695 ........ r60712 | mark.dickinson | 2008-02-10 15:58:38 +0100 (Sun, 10 Feb 2008) | 3 lines Turn classmethods into staticmethods, and avoid calling the constructor of subclasses of Rational. (See discussion in issue #1682.) ........ r60715 | mark.dickinson | 2008-02-10 16:19:58 +0100 (Sun, 10 Feb 2008) | 2 lines Typos in decimal comment and documentation ........ r60716 | skip.montanaro | 2008-02-10 16:31:54 +0100 (Sun, 10 Feb 2008) | 2 lines Get the saying right. ;-) ........ r60717 | skip.montanaro | 2008-02-10 16:32:16 +0100 (Sun, 10 Feb 2008) | 2 lines whoops - revert ........ r60718 | mark.dickinson | 2008-02-10 20:23:36 +0100 (Sun, 10 Feb 2008) | 2 lines Remove reference to Rational ........ r60719 | raymond.hettinger | 2008-02-10 21:35:16 +0100 (Sun, 10 Feb 2008) | 1 line Complete an open todo on pickletools -- add a pickle optimizer. ........ r60721 | mark.dickinson | 2008-02-10 22:29:51 +0100 (Sun, 10 Feb 2008) | 3 lines Rename rational.Rational to fractions.Fraction, to avoid name clash with numbers.Rational. See issue #1682 for related discussion. ........ r60722 | christian.heimes | 2008-02-11 03:26:22 +0100 (Mon, 11 Feb 2008) | 1 line The test requires the network resource ........ r60723 | mark.dickinson | 2008-02-11 04:11:55 +0100 (Mon, 11 Feb 2008) | 3 lines Put an extra space into the repr of a Fraction: Fraction(1, 2) instead of Fraction(1,2). ........
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if isinstance(a, Rational):
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# Includes ints.
return monomorphic_operator(a, b)
elif isinstance(a, numbers.Real):
return fallback_operator(float(a), float(b))
elif isinstance(a, numbers.Complex):
return fallback_operator(complex(a), complex(b))
else:
return NotImplemented
reverse.__name__ = '__r' + fallback_operator.__name__ + '__'
reverse.__doc__ = monomorphic_operator.__doc__
return forward, reverse
def _add(a, b):
"""a + b"""
Merged revisions 60481,60485,60489-60492,60494-60496,60498-60499,60501-60503,60505-60506,60508-60509,60523-60524,60532,60543,60545,60547-60548,60552,60554,60556-60559,60561-60562,60569,60571-60572,60574,60576-60583,60585-60586,60589,60591,60594-60595,60597-60598,60600-60601,60606-60612,60615,60617,60619-60621,60623-60625,60627-60629,60631,60633,60635,60647,60650,60652,60654,60656,60658-60659,60664-60666,60668-60670,60672,60676,60678,60680-60683,60685-60686,60688,60690,60692-60694,60697-60706,60708-60712,60714-60724 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r60701 | georg.brandl | 2008-02-09 22:36:15 +0100 (Sat, 09 Feb 2008) | 2 lines Needs only 2.4 now. ........ r60702 | georg.brandl | 2008-02-09 22:38:54 +0100 (Sat, 09 Feb 2008) | 2 lines Docs are rst now. ........ r60703 | georg.brandl | 2008-02-09 23:00:00 +0100 (Sat, 09 Feb 2008) | 2 lines Fix link. ........ r60704 | georg.brandl | 2008-02-10 00:09:25 +0100 (Sun, 10 Feb 2008) | 2 lines Fix for newest doctools. ........ r60709 | raymond.hettinger | 2008-02-10 08:21:09 +0100 (Sun, 10 Feb 2008) | 1 line Clarify that decimal also supports fixed-point arithmetic. ........ r60710 | nick.coghlan | 2008-02-10 08:32:52 +0100 (Sun, 10 Feb 2008) | 1 line Add missing NEWS entry for r60695 ........ r60712 | mark.dickinson | 2008-02-10 15:58:38 +0100 (Sun, 10 Feb 2008) | 3 lines Turn classmethods into staticmethods, and avoid calling the constructor of subclasses of Rational. (See discussion in issue #1682.) ........ r60715 | mark.dickinson | 2008-02-10 16:19:58 +0100 (Sun, 10 Feb 2008) | 2 lines Typos in decimal comment and documentation ........ r60716 | skip.montanaro | 2008-02-10 16:31:54 +0100 (Sun, 10 Feb 2008) | 2 lines Get the saying right. ;-) ........ r60717 | skip.montanaro | 2008-02-10 16:32:16 +0100 (Sun, 10 Feb 2008) | 2 lines whoops - revert ........ r60718 | mark.dickinson | 2008-02-10 20:23:36 +0100 (Sun, 10 Feb 2008) | 2 lines Remove reference to Rational ........ r60719 | raymond.hettinger | 2008-02-10 21:35:16 +0100 (Sun, 10 Feb 2008) | 1 line Complete an open todo on pickletools -- add a pickle optimizer. ........ r60721 | mark.dickinson | 2008-02-10 22:29:51 +0100 (Sun, 10 Feb 2008) | 3 lines Rename rational.Rational to fractions.Fraction, to avoid name clash with numbers.Rational. See issue #1682 for related discussion. ........ r60722 | christian.heimes | 2008-02-11 03:26:22 +0100 (Mon, 11 Feb 2008) | 1 line The test requires the network resource ........ r60723 | mark.dickinson | 2008-02-11 04:11:55 +0100 (Mon, 11 Feb 2008) | 3 lines Put an extra space into the repr of a Fraction: Fraction(1, 2) instead of Fraction(1,2). ........
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return Fraction(a.numerator * b.denominator +
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b.numerator * a.denominator,
a.denominator * b.denominator)
__add__, __radd__ = _operator_fallbacks(_add, operator.add)
# ...