Package: sagemath Version: 8.6-6 Severity: important Dear Maintainer,
Thank you for maintaining sage. I look forward to using it. The main reason I'm writing is to report a bug. I typed... root$ aptitude install sagemath on a computer with piecemeal updates from Debian's unstable distribution, and then kingsley$ sage and got .... "kaBOOM!". The crash traceback is attached. It reminds me of https://trac.sagemath.org/ticket/18503 So, Kingsley -- Time is the fire in which we all burn. -- System Information: Debian Release: stretch/sid APT prefers unstable-debug APT policy: (500, 'unstable-debug'), (500, 'unstable') Architecture: i386 (i686) Kernel: Linux 4.4.0-1-686-pae (SMP w/2 CPU cores) Locale: LANG=en_US.UTF-8, LC_CTYPE=en_US.UTF-8 (charmap=UTF-8) Shell: /bin/sh linked to /bin/bash Init: systemd (via /run/systemd/system) Versions of packages sagemath depends on: ii cysignals-tools 1.8.1+ds-2 ii cython 0.29.2-2 ii ecl 16.1.3+ds-2 ii eclib-tools 20180815-2 ii fflas-ffpack 2.3.2-3 ii flintqs 1:1.0-3 ii gap-atlasrep 1.5.1-2 ii gap-core 4r10p0-7 ii gap-dev 4r10p0-7 ii gap-online-help 4r10p0-7 ii gap-primgrp 3.3.2-1 ii gap-smallgrp 1.3-1 ii gap-table-of-marks 1.2.7-2 ii gap-transgrp 2.0.4-1 ii gfan 0.6.2-2 ii gmp-ecm 7.0.4+ds-5 ii ipython 5.8.0-1 ii iso-codes 3.63-1 ii jmol 14.6.4+2016.11.05+dfsg1-4 ii lcalc 1.23+dfsg-11 ii less 481-2.1 ii libatlas3-base [liblapack.so.3] 3.10.3-5 ii libblas3 [libblas.so.3] 3.7.1-4 ii libbraiding0 1.0-1 ii libbrial-groebner3 1.2.4-2 ii libbrial3 1.2.4-2 ii libc6 2.28-8 ii libcdd-tools 094j-2 ii libcliquer1 1.21-2 ii libec4 20180815-2 ii libecm1 7.0.4+ds-5 ii libflint-2.5.2 2.5.2-3 ii libflint-arb2 1:2.16.0-2 ii libgc1c2 1:7.6.4-0.4 ii libgcc1 1:8.3.0-3 ii libgd3 2.2.5-5.1 ii libgivaro9 4.0.4-2 ii libglpk40 4.65-2 ii libgmp10 2:6.1.2+dfsg-4 ii libgmpxx4ldbl 2:6.1.2+dfsg-4 ii libgomp1 8.3.0-3 ii libgsl23 2.5+dfsg-4 ii libgslcblas0 2.5+dfsg-4 ii libhomfly0 1.02r5-1 ii libiml0 1.0.4-1+b2 ii libjs-mathjax 2.7.4+dfsg-1 ii libjs-three 80+dfsg2-2 ii liblapack3 [liblapack.so.3] 3.7.1-4 ii liblfunction0 1.23+dfsg-11 ii liblinbox-1.5.2-0 1.5.2-2 ii liblinboxsage-1.5.2-0 1.5.2-2 ii liblrcalc1 1.2-2+b1 ii libm4ri-0.0.20140914 20140914-2 ii libm4rie-0.0.20150908 20150908-2 ii libmpc3 1.1.0-1 ii libmpfi0 1.5.3+ds-2 ii libmpfr6 4.0.0-7 ii libntl35 10.5.0-2 ii libpari-gmp-tls6 2.11.1-2 ii libplanarity0 3.0.0.5-3 ii libpng16-16 1.6.36-5 ii libppl14 1:1.2-7 ii libpynac18 0.7.23-2 ii libratpoints-2.1.3 1:2.1.3-1+b2 ii libreadline7 7.0-2 ii librw0 0.8+ds-1 ii libsingular4m1 1:4.1.1-p2+ds-3 ii libstdc++6 8.3.0-3 ii libsymmetrica2 2.0+ds-6 ii libzn-poly-0.9 0.9.1-1 ii maxima-sage 5.41.0+ds-4 ii maxima-sage-share 5.41.0+ds-4 ii nauty 2.6r10+ds-1 ii palp 2.1-5 ii pari-galdata 0.20080411-2 ii pari-gp 2.11.1-2 ii pari-seadata 0.20090618-1 ii python 2.7.15-3 ii python-alabaster 0.7.8-1 ii python-babel 2.4.0+dfsg.1-2 ii python-backports-abc 0.5-2 ii python-backports-shutil-get-terminal-size 1.0.0-3 ii python-backports.functools-lru-cache 1.4-2 ii python-brial 1.2.4-2 ii python-configparser 3.5.0b2-1 ii python-cvxopt 1.1.9+dfsg-3+b1 ii python-cycler 0.10.0-1 ii python-cypari2 1.3.1-2 ii python-cysignals-pari 1.8.1+ds-2 ii python-decorator 4.1.2-1 ii python-docutils 0.12+dfsg-1 ii python-enum34 1.0.4-3 ii python-fpylll 0.4.1+ds1-5 ii python-functools32 3.2.3.2-3 ii python-future 0.16.0-1 ii python-imagesize 0.7.1-1 ii python-ipython-genutils 0.2.0-1 ii python-itsdangerous 0.24+dfsg1-2 ii python-matplotlib 2.1.1-2 ii python-mistune 0.8.4-1 ii python-mpmath 1.1.0-1 ii python-networkx 2.2-1 ii python-numpy [python-numpy-abi9] 1:1.16.2-1 ii python-openid 2.2.5-7 ii python-packaging 19.0-1 ii python-path 11.5.0-3 ii python-pathlib2 2.3.0-1 ii python-pexpect 4.6.0-1 ii python-pickleshare 0.7.4-2 ii python-pil 5.0.0-1 ii python-pip 9.0.1-2 ii python-pkgconfig 1.4.0-1 ii python-prompt-toolkit 1.0.14-1 ii python-psutil 2.2.1-3+b1 ii python-ptyprocess 0.6.0-1 ii python-pygments 2.0.1+dfsg-2 ii python-rpy2 2.8.6-2+b2 ii python-sagenb 1.1.2+ds1-1 ii python-scipy 0.19.1-1 ii python-setuptools 18.4-2 ii python-setuptools-scm 3.2.0-1 ii python-simplegeneric 0.8.1-1 ii python-singledispatch 3.4.0.3-2 ii python-snowballstemmer 1.2.1-1 ii python-sphinx 1.8.4-1 ii python-stemmer 1.3.0+dfsg-1+b9 ii python-subprocess32 3.2.7-2 ii python-sympy 1.3-2 ii python-terminado 0.8.1-4 ii python-tornado 4.2.1-1+b1 ii python-traitlets 4.3.2-1 ii python-twisted 15.2.1-1 ii python-typing 3.6.2-1 ii python-tz 2012c+dfsg-0.1 ii python-vcversioner 2.16.0.0-1 ii python-wcwidth 0.1.7+dfsg1-1 ii python-werkzeug 0.14.1+dfsg1-4 ii python-zmq 14.4.0-4 ii python-zope.interface 4.1.3-1 pn python:any <none> ii r-base-core 3.5.1-1+b1 ii rubiks 20070912-3 ii sagemath-common 8.6-6 ii sagemath-database-conway-polynomials 0.5-4 ii sagemath-database-elliptic-curves 0.8-2 ii sagemath-database-graphs 20161026+dfsg-2 ii sagemath-database-mutually-combinatorial-designs 20140630-3 ii sagemath-database-polytopes 20170220-2 ii singular 1:4.1.1-p2+ds-3 ii sqlite3 3.26.0-3 ii sympow 2.023.5-2 ii tachyon 0.99~b6+dsx-9 ii xcas 1.4.9.69+dfsg1-2 ii zlib1g 1:1.2.11.dfsg-1 Versions of packages sagemath recommends: ii maxima-sage-doc 5.41.0+ds-4 ii pari-doc 2.11.1-2 ii python-sagenb-export 3.2-3 ii r-cran-lattice 0.20-35-1+b2 ii sagemath-doc-en 8.6-6 ii sagemath-jupyter 8.6-6 ii sagetex 3.2+ds-2 ii singular-doc 1:4.1.1-p2+ds-3 ii texlive-latex-base 2018.20190227-1 Versions of packages sagemath suggests: pn dot2tex <none> pn gap-design <none> ii gap-factint 1.6.2+ds-1 pn gap-grape <none> pn gap-guava <none> pn gap-laguna <none> pn gap-sonata <none> pn gap-toric <none> -- no debconf information
*************************************************************************** IPython post-mortem report {'commit_hash': u'033ab93c7', 'commit_source': 'installation', 'default_encoding': 'UTF-8', 'ipython_path': '/usr/lib/python2.7/dist-packages/IPython', 'ipython_version': '5.8.0', 'os_name': 'posix', 'platform': 'Linux-4.4.0-1-686-pae-i686-with-debian-stretch-sid', 'sys_executable': '/usr/bin/python2', 'sys_platform': 'linux2', 'sys_version': '2.7.15+ (default, Feb 1 2019, 07:18:31) \n[GCC 8.2.0]'} *************************************************************************** *************************************************************************** Crash traceback: --------------------------------------------------------------------------- --------------------------------------------------------------------------- TypeError Python 2.7.15+: /usr/bin/python2 Fri Mar 22 15:59:55 2019 A problem occurred executing Python code. Here is the sequence of function calls leading up to the error, with the most recent (innermost) call last. /usr/share/sagemath/bin/sage-ipython in <module>() 1 #!/usr/bin/env sage-python23 2 # -*- coding: utf-8 -*- 3 """ 4 Sage IPython startup script. 5 """ 6 7 # Display startup banner. Do this before anything else to give the user 8 # early feedback that Sage is starting. 9 from sage.misc.banner import banner 10 banner() 11 12 from sage.repl.interpreter import SageTerminalApp 13 14 app = SageTerminalApp.instance() ---> 15 app.initialize() global app.initialize = <bound method SageTerminalApp.initialize of <sage.repl.interpreter.SageTerminalApp object at 0xb72a61cc>> 16 app.start() <decorator-gen-110> in initialize(self=<sage.repl.interpreter.SageTerminalApp object>, argv=None) /usr/lib/python2.7/dist-packages/traitlets/config/application.pyc in catch_config_error(method=<function initialize>, app=<sage.repl.interpreter.SageTerminalApp object>, *args=(None,), **kwargs={}) 72 TRAITLETS_APPLICATION_RAISE_CONFIG_FILE_ERROR = False 73 else: 74 raise ValueError("Unsupported value for environment variable: 'TRAITLETS_APPLICATION_RAISE_CONFIG_FILE_ERROR' is set to '%s' which is none of {'0', '1', 'false', 'true', ''}."% _envvar ) 75 76 77 @decorator 78 def catch_config_error(method, app, *args, **kwargs): 79 """Method decorator for catching invalid config (Trait/ArgumentErrors) during init. 80 81 On a TraitError (generally caused by bad config), this will print the trait's 82 message, and exit the app. 83 84 For use on init methods, to prevent invoking excepthook on invalid input. 85 """ 86 try: ---> 87 return method(app, *args, **kwargs) method = <function initialize at 0xb6566a04> app = <sage.repl.interpreter.SageTerminalApp object at 0xb72a61cc> args = (None,) kwargs = {} 88 except (TraitError, ArgumentError) as e: 89 app.print_help() 90 app.log.fatal("Bad config encountered during initialization:") 91 app.log.fatal(str(e)) 92 app.log.debug("Config at the time: %s", app.config) 93 app.exit(1) 94 95 96 class ApplicationError(Exception): 97 pass 98 99 100 class LevelFormatter(logging.Formatter): 101 """Formatter with additional `highlevel` record 102 /usr/lib/python2.7/dist-packages/IPython/terminal/ipapp.pyc in initialize(self=<sage.repl.interpreter.SageTerminalApp object>, argv=None) 301 302 return super(TerminalIPythonApp, self).parse_command_line(argv) 303 304 @catch_config_error 305 def initialize(self, argv=None): 306 """Do actions after construct, but before starting the app.""" 307 super(TerminalIPythonApp, self).initialize(argv) 308 if self.subapp is not None: 309 # don't bother initializing further, starting subapp 310 return 311 # print self.extra_args 312 if self.extra_args and not self.something_to_run: 313 self.file_to_run = self.extra_args[0] 314 self.init_path() 315 # create the shell --> 316 self.init_shell() self.init_shell = <bound method SageTerminalApp.init_shell of <sage.repl.interpreter.SageTerminalApp object at 0xb72a61cc>> 317 # and draw the banner 318 self.init_banner() 319 # Now a variety of things that happen after the banner is printed. 320 self.init_gui_pylab() 321 self.init_extensions() 322 self.init_code() 323 324 def init_shell(self): 325 """initialize the InteractiveShell instance""" 326 # Create an InteractiveShell instance. 327 # shell.display_banner should always be False for the terminal 328 # based app, because we call shell.show_banner() by hand below 329 # so the banner shows *before* all extension loading stuff. 330 self.shell = self.interactive_shell_class.instance(parent=self, 331 profile_dir=self.profile_dir, /usr/lib/python2.7/dist-packages/sage/repl/interpreter.pyc in init_shell(self=<sage.repl.interpreter.SageTerminalApp object>) 745 self.shell.has_sage_extensions = SAGE_EXTENSION in self.extensions 746 747 # Load the %lprun extension if available 748 try: 749 import line_profiler 750 except ImportError: 751 pass 752 else: 753 self.extensions.append('line_profiler') 754 755 if self.shell.has_sage_extensions: 756 self.extensions.remove(SAGE_EXTENSION) 757 758 # load sage extension here to get a crash if 759 # something is wrong with the sage library --> 760 self.shell.extension_manager.load_extension(SAGE_EXTENSION) self.shell.extension_manager.load_extension = <bound method ExtensionManager.load_extension of <IPython.core.extensions.ExtensionManager object at 0xb5a3e92c>> global SAGE_EXTENSION = 'sage' 761 762 /usr/lib/python2.7/dist-packages/IPython/core/extensions.pyc in load_extension(self=<IPython.core.extensions.ExtensionManager object>, module_str='sage') 70 71 Returns the string "already loaded" if the extension is already loaded, 72 "no load function" if the module doesn't have a load_ipython_extension 73 function, or None if it succeeded. 74 """ 75 if module_str in self.loaded: 76 return "already loaded" 77 78 from IPython.utils.syspathcontext import prepended_to_syspath 79 80 with self.shell.builtin_trap: 81 if module_str not in sys.modules: 82 with prepended_to_syspath(self.ipython_extension_dir): 83 __import__(module_str) 84 mod = sys.modules[module_str] ---> 85 if self._call_load_ipython_extension(mod): self._call_load_ipython_extension = <bound method ExtensionManager._call_load_ipython_extension of <IPython.core.extensions.ExtensionManager object at 0xb5a3e92c>> mod = <module 'sage' from '/usr/lib/python2.7/dist-packages/sage/__init__.pyc'> 86 self.loaded.add(module_str) 87 else: 88 return "no load function" 89 90 def unload_extension(self, module_str): 91 """Unload an IPython extension by its module name. 92 93 This function looks up the extension's name in ``sys.modules`` and 94 simply calls ``mod.unload_ipython_extension(self)``. 95 96 Returns the string "no unload function" if the extension doesn't define 97 a function to unload itself, "not loaded" if the extension isn't loaded, 98 otherwise None. 99 """ 100 if module_str not in self.loaded: /usr/lib/python2.7/dist-packages/IPython/core/extensions.pyc in _call_load_ipython_extension(self=<IPython.core.extensions.ExtensionManager object>, mod=<module 'sage' from '/usr/lib/python2.7/dist-packages/sage/__init__.pyc'>) 117 """ 118 from IPython.utils.syspathcontext import prepended_to_syspath 119 120 if (module_str in self.loaded) and (module_str in sys.modules): 121 self.unload_extension(module_str) 122 mod = sys.modules[module_str] 123 with prepended_to_syspath(self.ipython_extension_dir): 124 reload(mod) 125 if self._call_load_ipython_extension(mod): 126 self.loaded.add(module_str) 127 else: 128 self.load_extension(module_str) 129 130 def _call_load_ipython_extension(self, mod): 131 if hasattr(mod, 'load_ipython_extension'): --> 132 mod.load_ipython_extension(self.shell) mod.load_ipython_extension = <function load_ipython_extension at 0xb73b2ca4> self.shell = <sage.repl.interpreter.SageTerminalInteractiveShell object at 0xb6580bcc> 133 return True 134 135 def _call_unload_ipython_extension(self, mod): 136 if hasattr(mod, 'unload_ipython_extension'): 137 mod.unload_ipython_extension(self.shell) 138 return True 139 140 def install_extension(self, url, filename=None): 141 """Download and install an IPython extension. 142 143 If filename is given, the file will be so named (inside the extension 144 directory). Otherwise, the name from the URL will be used. The file must 145 have a .py or .zip extension; otherwise, a ValueError will be raised. 146 147 Returns the full path to the installed file. /usr/lib/python2.7/dist-packages/sage/__init__.pyc in load_ipython_extension(*args=(<sage.repl.interpreter.SageTerminalInteractiveShell object>,)) 1 __all__ = ['all'] 2 3 # Set sage.__version__ to the current version number. This is analogous 4 # to many other Python packages. 5 from sage.version import version as __version__ 6 7 # Make sure that the correct zlib library is loaded. This is needed 8 # to prevent the system zlib to be loaded instead of the Sage one. 9 # See https://trac.sagemath.org/ticket/23122 10 import zlib 11 12 # IPython calls this when starting up 13 def load_ipython_extension(*args): 14 import sage.repl.ipython_extension ---> 15 sage.repl.ipython_extension.load_ipython_extension(*args) sage.repl.ipython_extension.load_ipython_extension = <function load_ipython_extension at 0xb57c14fc> args = (<sage.repl.interpreter.SageTerminalInteractiveShell object at 0xb6580bcc>,) 16 17 18 # Monkey-patch inspect.isfunction() to support Cython functions. 19 def isfunction(obj): 20 """ 21 Check whether something is a function. 22 23 We assume that anything which has a genuine ``__code__`` 24 attribute (not using ``__getattr__`` overrides) is a function. 25 This is meant to support Cython functions. 26 27 EXAMPLES:: 28 29 sage: from inspect import isfunction 30 sage: def f(): pass 31 sage: isfunction(f) /usr/lib/python2.7/dist-packages/sage/repl/ipython_extension.pyc in wrapper(*args=(<sage.repl.interpreter.SageTerminalInteractiveShell object>,), **kwargs={}) 547 ....: if work: 548 ....: return 'foo worked' 549 ....: raise RuntimeError("foo didn't work") 550 sage: foo(False) 551 Traceback (most recent call last): 552 ... 553 RuntimeError: foo didn't work 554 sage: foo(True) 555 'foo worked' 556 sage: foo(False) 557 sage: foo(True) 558 """ 559 @wraps(func) 560 def wrapper(*args, **kwargs): 561 if not wrapper.has_run: --> 562 result = func(*args, **kwargs) result = undefined global func = undefined args = (<sage.repl.interpreter.SageTerminalInteractiveShell object at 0xb6580bcc>,) kwargs = {} 563 wrapper.has_run = True 564 return result 565 wrapper.has_run = False 566 return wrapper 567 568 569 @run_once 570 def load_ipython_extension(ip): 571 """ 572 Load the extension in IPython. 573 """ 574 # this modifies ip 575 SageCustomizations(shell=ip) /usr/lib/python2.7/dist-packages/sage/repl/ipython_extension.pyc in load_ipython_extension(ip=<sage.repl.interpreter.SageTerminalInteractiveShell object>) 560 def wrapper(*args, **kwargs): 561 if not wrapper.has_run: 562 result = func(*args, **kwargs) 563 wrapper.has_run = True 564 return result 565 wrapper.has_run = False 566 return wrapper 567 568 569 @run_once 570 def load_ipython_extension(ip): 571 """ 572 Load the extension in IPython. 573 """ 574 # this modifies ip --> 575 SageCustomizations(shell=ip) global SageCustomizations = <class 'sage.repl.ipython_extension.SageCustomizations'> global shell = undefined ip = <sage.repl.interpreter.SageTerminalInteractiveShell object at 0xb6580bcc> /usr/lib/python2.7/dist-packages/sage/repl/ipython_extension.pyc in __init__(self=<sage.repl.ipython_extension.SageCustomizations object>, shell=<sage.repl.interpreter.SageTerminalInteractiveShell object>) 418 def __init__(self, shell=None): 419 """ 420 Initialize the Sage plugin. 421 """ 422 self.shell = shell 423 424 self.auto_magics = SageMagics(shell) 425 self.shell.register_magics(self.auto_magics) 426 427 import sage.misc.edit_module as edit_module 428 self.shell.set_hook('editor', edit_module.edit_devel) 429 430 self.init_inspector() 431 self.init_line_transforms() 432 --> 433 import sage.all # until sage's import hell is fixed sage.all = undefined 434 435 self.shell.verbose_quit = True 436 self.set_quit_hook() 437 438 self.register_interface_magics() 439 440 if SAGE_IMPORTALL == 'yes': 441 self.init_environment() 442 443 def register_interface_magics(self): 444 """ 445 Register magics for each of the Sage interfaces 446 """ 447 from sage.repl.interface_magic import InterfaceMagic 448 InterfaceMagic.register_all(self.shell) /usr/lib/python2.7/dist-packages/sage/all.py in <module>() 68 import math 69 70 from sage.env import SAGE_ROOT, SAGE_SRC, SAGE_DOC_SRC, SAGE_LOCAL, DOT_SAGE, SAGE_ENV 71 72 73 ################################################################### 74 75 # This import also sets up the interrupt handler 76 from cysignals.signals import (AlarmInterrupt, SignalError, 77 sig_on_reset as sig_on_count) 78 79 from time import sleep 80 from functools import reduce # in order to keep reduce in python3 81 82 import sage.misc.lazy_import ---> 83 from sage.misc.all import * # takes a while global sage.misc.all = undefined 84 from sage.typeset.all import * 85 from sage.repl.all import * 86 87 from sage.misc.sh import sh 88 89 from sage.libs.all import * 90 from sage.data_structures.all import * 91 from sage.doctest.all import * 92 93 from sage.structure.all import * 94 from sage.rings.all import * 95 from sage.arith.all import * 96 from sage.matrix.all import * 97 98 from sage.symbolic.all import * /usr/lib/python2.7/dist-packages/sage/misc/all.py in <module>() 69 70 from .defaults import (set_default_variable_name, 71 series_precision, set_series_precision) 72 73 from .sage_eval import sage_eval, sageobj 74 75 from .sage_input import sage_input 76 77 lazy_import("sage.misc.cython", ["cython_lambda", "cython_create_local_so"]) 78 lazy_import("sage.misc.cython", "cython_compile", "cython") 79 80 from .persist import save, load, dumps, loads, db, db_save 81 82 from .func_persist import func_persist 83 ---> 84 from .functional import (additive_order, global functional = undefined global additive_order = undefined global base_ring = undefined global base_field = undefined global basis = undefined global category = undefined global charpoly = undefined global characteristic_polynomial = undefined global coerce = undefined global cyclotomic_polynomial = undefined global decomposition = undefined global denominator = undefined global det = undefined global dimension = undefined global dim = undefined global discriminant = undefined global disc = undefined global eta = undefined global fcp = undefined global gen = undefined global gens = undefined global hecke_operator = undefined global image = undefined global integral = undefined global integrate = undefined global integral_closure = undefined global interval = undefined global xinterval = undefined global is_commutative = undefined global is_even = undefined global is_integrally_closed = undefined global is_field = undefined global is_odd = undefined global kernel = undefined global krull_dimension = undefined global lift = undefined global log = undefined global log_b = undefined global minimal_polynomial = undefined global minpoly = undefined global multiplicative_order = undefined global ngens = undefined global norm = undefined global numerator = undefined global numerical_approx = undefined global n = undefined global N = undefined global objgens = undefined global objgen = undefined global order = undefined global rank = undefined global regulator = undefined global round = undefined global quotient = undefined global quo = undefined global isqrt = undefined global squarefree_part = undefined global symbolic_sum = undefined global sum = undefined global symbolic_prod = undefined global product = undefined global transpose = undefined 85 base_ring, 86 base_field, 87 basis, 88 category, 89 charpoly, 90 characteristic_polynomial, 91 coerce, 92 cyclotomic_polynomial, 93 decomposition, 94 denominator, 95 det, 96 dimension, 97 dim, 98 discriminant, 99 disc, /usr/lib/python2.7/dist-packages/sage/misc/functional.py in <module>() 12 - David Joyner (2005-12-20): More Examples 13 """ 14 #***************************************************************************** 15 # Copyright (C) 2004 William Stein <wst...@gmail.com> 16 # 17 # This program is free software: you can redistribute it and/or modify 18 # it under the terms of the GNU General Public License as published by 19 # the Free Software Foundation, either version 2 of the License, or 20 # (at your option) any later version. 21 # http://www.gnu.org/licenses/ 22 #***************************************************************************** 23 from __future__ import absolute_import 24 from six.moves import range, builtins 25 from six import integer_types 26 ---> 27 from sage.rings.complex_double import CDF global sage.rings.complex_double = undefined global CDF = undefined 28 from sage.rings.real_double import RDF, RealDoubleElement 29 from sage.rings.integer_ring import ZZ 30 from sage.rings.integer import Integer 31 from sage.misc.superseded import deprecation 32 33 ############################################################################## 34 # There are many functions on elements of a ring, which mathematicians 35 # usually write f(x), e.g., it is weird to write x.log() and natural 36 # to write log(x). The functions below allow for the more familiar syntax. 37 ############################################################################## 38 39 40 def additive_order(x): 41 """ 42 Return the additive order of ``x``. /usr/lib/python2.7/dist-packages/sage/rings/complex_double.pyx in init sage.rings.complex_double (build/cythonized/sage/rings/complex_double.c:22356)() ----> 1 r""" 2 Double Precision Complex Numbers 3 4 Sage supports arithmetic using double-precision complex numbers. A 5 double-precision complex number is a complex number ``x + I*y`` with 6 `x`, `y` 64-bit (8 byte) floating point numbers (double precision). 7 8 The field :class:`ComplexDoubleField` implements the field 9 of all double-precision complex numbers. You can refer to this 10 field by the shorthand CDF. Elements of this field are of type 11 :class:`ComplexDoubleElement`. If `x` and `y` are coercible to 12 doubles, you can create a complex double element using 13 ``ComplexDoubleElement(x,y)``. You can coerce more 14 general objects `z` to complex doubles by typing either 15 ``ComplexDoubleField(x)`` or ``CDF(x)``. 16 17 EXAMPLES:: 18 19 sage: ComplexDoubleField() 20 Complex Double Field 21 sage: CDF 22 Complex Double Field 23 sage: type(CDF.0) 24 <type 'sage.rings.complex_double.ComplexDoubleElement'> 25 sage: ComplexDoubleElement(sqrt(2),3) 26 1.4142135623730951 + 3.0*I 27 sage: parent(CDF(-2)) 28 Complex Double Field 29 30 :: 31 /usr/lib/python2.7/dist-packages/sage/rings/ring.pyx in init sage.rings.ring (build/cythonized/sage/rings/ring.c:22311)() ----> 1 """ 2 Rings 3 4 This module provides the abstract base class :class:`Ring` from which 5 all rings in Sage (used to) derive, as well as a selection of more 6 specific base classes. 7 8 .. WARNING:: 9 10 Those classes, except maybe for the lowest ones like :class:`Ring`, 11 :class:`CommutativeRing`, :class:`Algebra` and :class:`CommutativeAlgebra`, 12 are being progressively deprecated in favor of the corresponding 13 categories. which are more flexible, in particular with respect to multiple 14 inheritance. 15 16 The class inheritance hierarchy is: 17 18 - :class:`Ring` 19 20 - :class:`Algebra` 21 - :class:`CommutativeRing` 22 23 - :class:`NoetherianRing` 24 - :class:`CommutativeAlgebra` 25 - :class:`IntegralDomain` 26 27 - :class:`DedekindDomain` 28 - :class:`PrincipalIdealDomain` 29 30 Subclasses of :class:`PrincipalIdealDomain` are 31 /usr/lib/python2.7/dist-packages/sage/structure/parent_gens.pyx in init sage.structure.parent_gens (build/cythonized/sage/structure/parent_gens.c:5388)() ----> 1 r""" 2 Base class for old-style parent objects with generators 3 4 .. NOTE:: 5 6 This class is being deprecated, see 7 ``sage.structure.parent.Parent`` and 8 ``sage.structure.category_object.CategoryObject`` for the new 9 model. 10 11 Many parent objects in Sage are equipped with generators, which are 12 special elements of the object. For example, the polynomial ring 13 `\ZZ[x,y,z]` is generated by `x`, `y`, and `z`. In Sage the `i^{th}` 14 generator of an object ``X`` is obtained using the notation 15 ``X.gen(i)``. From the Sage interactive prompt, the shorthand 16 notation ``X.i`` is also allowed. 17 18 REQUIRED: A class that derives from ParentWithGens *must* define 19 the ngens() and gen(i) methods. 20 21 OPTIONAL: It is also good if they define gens() to return all gens, 22 but this is not necessary. 23 24 The ``gens`` function returns a tuple of all generators, the 25 ``ngens`` function returns the number of generators. 26 27 The ``_assign_names`` functions is for internal use only, and is 28 called when objects are created to set the generator names. It can 29 only be called once. 30 31 The following examples illustrate these functions in the context of /usr/lib/python2.7/dist-packages/sage/structure/parent_base.pyx in init sage.structure.parent_base (build/cythonized/sage/structure/parent_base.c:2543)() ----> 1 r""" 2 Base class for old-style parent objects with a base ring 3 """ 4 5 #***************************************************************************** 6 # Copyright (C) 2006 William Stein <wst...@gmail.com> 7 # 8 # This program is free software: you can redistribute it and/or modify 9 # it under the terms of the GNU General Public License as published by 10 # the Free Software Foundation, either version 2 of the License, or 11 # (at your option) any later version. 12 # http://www.gnu.org/licenses/ 13 #***************************************************************************** 14 15 from __future__ import absolute_import 16 17 cimport sage.structure.parent as parent 18 19 from .coerce_exceptions import CoercionException 20 21 cdef inline check_old_coerce(parent.Parent p): 22 if p._element_constructor is not None: 23 raise RuntimeError("%s still using old coercion framework" % p) 24 25 26 def is_ParentWithBase(x): 27 """ 28 Return True if x is a parent object with base. 29 """ 30 return isinstance(x, ParentWithBase) 31 /usr/lib/python2.7/dist-packages/sage/structure/parent_old.pyx in init sage.structure.parent_old (build/cythonized/sage/structure/parent_old.c:8649)() ----> 1 r""" 2 Base class for old-style parent objects 3 4 CLASS HIERARCHY: 5 6 SageObject 7 Parent 8 ParentWithBase 9 ParentWithGens 10 11 12 TESTS: 13 14 This came up in some subtle bug once. 15 :: 16 17 sage: gp(2) + gap(3) 18 5 19 """ 20 21 #***************************************************************************** 22 # Copyright (C) 2006 William Stein <wst...@gmail.com> 23 # 24 # This program is free software: you can redistribute it and/or modify 25 # it under the terms of the GNU General Public License as published by 26 # the Free Software Foundation, either version 2 of the License, or 27 # (at your option) any later version. 28 # http://www.gnu.org/licenses/ 29 #***************************************************************************** 30 from __future__ import absolute_import, print_function 31 /usr/lib/python2.7/dist-packages/sage/structure/parent.pyx in init sage.structure.parent (build/cythonized/sage/structure/parent.c:27339)() ----> 1 r""" 2 Base class for parent objects 3 4 CLASS HIERARCHY:: 5 6 SageObject 7 CategoryObject 8 Parent 9 10 A simple example of registering coercions:: 11 12 sage: class A_class(Parent): 13 ....: def __init__(self, name): 14 ....: Parent.__init__(self) 15 ....: self._populate_coercion_lists_() 16 ....: self.rename(name) 17 ....: 18 ....: def category(self): 19 ....: return Sets() 20 ....: 21 ....: def _element_constructor_(self, i): 22 ....: assert(isinstance(i, (int, Integer))) 23 ....: return ElementWrapper(self, i) 24 sage: A = A_class("A") 25 sage: B = A_class("B") 26 sage: C = A_class("C") 27 28 sage: def f(a): 29 ....: return B(a.value+1) 30 sage: class MyMorphism(Morphism): 31 ....: def __init__(self, domain, codomain): /usr/lib/python2.7/dist-packages/sage/structure/category_object.pyx in init sage.structure.category_object (build/cythonized/sage/structure/category_object.c:9657)() 47 ((1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 1, 0), (0, 0, 0, 1)) 48 """ 49 50 #***************************************************************************** 51 # This program is free software: you can redistribute it and/or modify 52 # it under the terms of the GNU General Public License as published by 53 # the Free Software Foundation, either version 2 of the License, or 54 # (at your option) any later version. 55 # http://www.gnu.org/licenses/ 56 #***************************************************************************** 57 58 from __future__ import absolute_import, division, print_function 59 60 from sage.cpython.getattr import dir_with_other_class 61 from sage.cpython.getattr cimport getattr_from_other_class ---> 62 from sage.categories.category import Category global sage.categories.category = undefined global Category = undefined 63 from sage.structure.debug_options cimport debug 64 from sage.misc.cachefunc import cached_method 65 from sage.structure.dynamic_class import DynamicMetaclass 66 67 68 cpdef inline check_default_category(default_category, category): 69 ## The resulting category is guaranteed to be 70 ## a sub-category of the default. 71 if category is None: 72 return default_category 73 return default_category.join([default_category,category]) 74 75 76 cdef class CategoryObject(SageObject): 77 """ /usr/lib/python2.7/dist-packages/sage/categories/category.py in <module>() 95 #***************************************************************************** 96 # Copyright (C) 2005 David Kohel <ko...@maths.usyd.edu> and 97 # William Stein <wst...@math.ucsd.edu> 98 # 2008-2014 Nicolas M. Thiery <nthiery at users.sf.net> 99 # 100 # Distributed under the terms of the GNU General Public License (GPL) 101 # http://www.gnu.org/licenses/ 102 #***************************************************************************** 103 104 import inspect 105 from warnings import warn 106 from sage.misc.abstract_method import abstract_method, abstract_methods_of_class 107 from sage.misc.cachefunc import cached_method, cached_function 108 from sage.misc.c3_controlled import _cmp_key, _cmp_key_named, C3_sorted_merge 109 from sage.misc.lazy_attribute import lazy_attribute --> 110 from sage.misc.unknown import Unknown global sage.misc.unknown = undefined global Unknown = undefined 111 from sage.misc.weak_dict import WeakValueDictionary 112 113 from sage.structure.sage_object import SageObject 114 from sage.structure.unique_representation import UniqueRepresentation 115 from sage.structure.dynamic_class import DynamicMetaclass, dynamic_class 116 117 from sage.categories.category_cy_helper import category_sort_key, _sort_uniq, _flatten_categories, join_as_tuple 118 119 _join_cache = WeakValueDictionary() 120 121 class Category(UniqueRepresentation, SageObject): 122 r""" 123 The base class for modeling mathematical categories, like for example: 124 125 - ``Groups()``: the category of groups /usr/lib/python2.7/dist-packages/sage/misc/unknown.py in <module>() 1 """ 2 The Unknown truth value 3 4 AUTHORS: 5 6 - Florent Hivert (2010): initial version. 7 """ 8 from __future__ import print_function 9 10 from sage.structure.sage_object import SageObject ---> 11 from sage.structure.unique_representation import UniqueRepresentation global sage.structure.unique_representation = undefined global UniqueRepresentation = undefined 12 from sage.structure.richcmp import richcmp_method, rich_to_bool 13 14 15 @richcmp_method 16 class UnknownClass(UniqueRepresentation, SageObject): 17 """ 18 TESTS:: 19 20 sage: TestSuite(Unknown).run() 21 """ 22 def __init__(self): 23 """ 24 The ``Unknown`` truth value 25 26 EXAMPLES:: 27 28 sage: l = [False, Unknown, True] 29 sage: for a in l: print([a and b for b in l]) 30 [False, False, False] 31 [Unknown, Unknown, Unknown] /usr/lib/python2.7/dist-packages/sage/structure/unique_representation.py in <module>() 555 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 556 # General Public License for more details. 557 # 558 # The full text of the GPL is available at: 559 # 560 # https://www.gnu.org/licenses/ 561 #****************************************************************************** 562 from __future__ import print_function 563 564 from sage.misc import six 565 from sage.misc.cachefunc import weak_cached_function 566 from sage.misc.classcall_metaclass import ClasscallMetaclass, typecall 567 from sage.misc.fast_methods import WithEqualityById 568 569 --> 570 class CachedRepresentation(six.with_metaclass(ClasscallMetaclass)): global CachedRepresentation = undefined global six.with_metaclass = undefined global ClasscallMetaclass = None 571 """ 572 Classes derived from CachedRepresentation inherit a weak cache for their 573 instances. 574 575 .. NOTE:: 576 577 If this class is used as a base class, then instances are (weakly) 578 cached, according to the arguments used to create the instance. 579 Pickling is provided, of course by using the cache. 580 581 .. NOTE:: 582 583 Using this class, one can have arbitrary hash and comparison. 584 Hence, *unique* representation behaviour is *not* provided. 585 /usr/lib/python2.7/dist-packages/six.pyc in with_metaclass(meta=<type 'sage.misc.classcall_metaclass.ClasscallMetaclass'>, *bases=()) 794 return f 795 return wrapper 796 else: 797 wraps = functools.wraps 798 799 800 def with_metaclass(meta, *bases): 801 """Create a base class with a metaclass.""" 802 # This requires a bit of explanation: the basic idea is to make a dummy 803 # metaclass for one level of class instantiation that replaces itself with 804 # the actual metaclass. 805 class metaclass(meta): 806 807 def __new__(cls, name, this_bases, d): 808 return meta(name, bases, d) --> 809 return type.__new__(metaclass, 'temporary_class', (), {}) global type.__new__ = undefined metaclass = <class 'six.metaclass'> 810 811 812 def add_metaclass(metaclass): 813 """Class decorator for creating a class with a metaclass.""" 814 def wrapper(cls): 815 orig_vars = cls.__dict__.copy() 816 slots = orig_vars.get('__slots__') 817 if slots is not None: 818 if isinstance(slots, str): 819 slots = [slots] 820 for slots_var in slots: 821 orig_vars.pop(slots_var) 822 orig_vars.pop('__dict__', None) 823 orig_vars.pop('__weakref__', None) 824 return metaclass(cls.__name__, cls.__bases__, orig_vars) TypeError: type.__new__(metaclass) is not safe, use sage.misc.classcall_metaclass.ClasscallMetaclass.__new__() *************************************************************************** History of session input: *** Last line of input (may not be in above history):