> On 5/08/2017, at 23:22, Frédéric Chapoton <fchapot...@gmail.com> wrote:
>
> /home/chapoton/sage3/local/lib/libpython2.7.so.1.0(PyInt_FromLong+0x53)[0x7f950a139ef3]
> /home/chapoton/sage3/local/lib/libpynac.so.13(+0x88196)[0x7f950a559196]
>
Pynac still being built and link to python 2.7 may be your cause of trouble.
In sage-on-gentoo I have managed to build everything python3.6 (including
pynac).
I also crash on startup but not with a segfault:
fbissey@moonloop ~ $ EPYTHON=python3.6 sage
┌────────────────────────────────────────────────────────────────────┐
│ SageMath version 8.1.beta0, Release Date: 2017-07-29 │
│ Type "notebook()" for the browser-based notebook interface. │
│ Type "help()" for help. │
└────────────────────────────────────────────────────────────────────┘
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ Warning: this is a prerelease version, and it may be unstable. ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
**********************************************************************
Oops, Sage crashed. We do our best to make it stable, but...
A crash report was automatically generated with the following information:
- A verbatim copy of the crash traceback.
- A copy of your input history during this session.
- Data on your current Sage configuration.
It was left in the file named:
'/home/fbissey/.ipython/Sage_crash_report.txt’
Crash log in attachment.
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***************************************************************************
IPython post-mortem report
{'commit_hash': '5a894b9',
'commit_source': 'installation',
'default_encoding': 'UTF-8',
'ipython_path': '/usr/lib64/python3.6/site-packages/IPython',
'ipython_version': '5.3.0',
'os_name': 'posix',
'platform':
'Linux-4.11.5-gentoo-x86_64-Intel-R-_Xeon-R-_CPU_E3-1230_v3_@_3.30GHz-with-gentoo-2.3',
'sys_executable': '/usr/bin/python3.6',
'sys_platform': 'linux',
'sys_version': '3.6.1 (default, May 20 2017, 20:15:55) \n[GCC 5.4.0]'}
***************************************************************************
***************************************************************************
Crash traceback:
---------------------------------------------------------------------------
---------------------------------------------------------------------------
TypeError Python 3.6.1: /usr/bin/python3.6
Sat Aug 5 23:29:59 2017
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/lib/python-exec/python3.6/sage-ipython in <module>()
1 #!/usr/bin/env python3.6
2 # -*- coding: utf-8 -*-
3 """
4 Sage IPython startup script.
5 """
6
7 from sage.repl.interpreter import SageTerminalApp
8
9 app = SageTerminalApp.instance()
---> 10 app.initialize()
global app.initialize = <bound method TerminalIPythonApp.initialize of
<sage.repl.interpreter.SageTerminalApp object at 0x7f3d64be9390>>
11 app.start()
<decorator-gen-109> in initialize(self=<sage.repl.interpreter.SageTerminalApp
object>, argv=None)
/usr/lib64/python3.6/site-packages/traitlets/config/application.py in
catch_config_error(method=<function TerminalIPythonApp.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 TerminalIPythonApp.initialize at 0x7f3d5b6b9ea0>
app = <sage.repl.interpreter.SageTerminalApp object at 0x7f3d64be9390>
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/lib64/python3.6/site-packages/IPython/terminal/ipapp.py in
initialize(self=<sage.repl.interpreter.SageTerminalApp object>, argv=None)
294
295 return super(TerminalIPythonApp, self).parse_command_line(argv)
296
297 @catch_config_error
298 def initialize(self, argv=None):
299 """Do actions after construct, but before starting the app."""
300 super(TerminalIPythonApp, self).initialize(argv)
301 if self.subapp is not None:
302 # don't bother initializing further, starting subapp
303 return
304 # print self.extra_args
305 if self.extra_args and not self.something_to_run:
306 self.file_to_run = self.extra_args[0]
307 self.init_path()
308 # create the shell
--> 309 self.init_shell()
self.init_shell = <bound method SageTerminalApp.init_shell of
<sage.repl.interpreter.SageTerminalApp object at 0x7f3d64be9390>>
310 # and draw the banner
311 self.init_banner()
312 # Now a variety of things that happen after the banner is
printed.
313 self.init_gui_pylab()
314 self.init_extensions()
315 self.init_code()
316
317 def init_shell(self):
318 """initialize the InteractiveShell instance"""
319 # Create an InteractiveShell instance.
320 # shell.display_banner should always be False for the terminal
321 # based app, because we call shell.show_banner() by hand below
322 # so the banner shows *before* all extension loading stuff.
323 self.shell = TerminalInteractiveShell.instance(parent=self,
324 profile_dir=self.profile_dir,
/usr/lib64/python3.6/site-packages/sage/repl/interpreter.py in
init_shell(self=<sage.repl.interpreter.SageTerminalApp object>)
747 self.shell.has_sage_extensions = SAGE_EXTENSION in
self.extensions
748
749 # Load the %lprun extension if available
750 try:
751 import line_profiler
752 except ImportError:
753 pass
754 else:
755 self.extensions.append('line_profiler')
756
757 if self.shell.has_sage_extensions:
758 self.extensions.remove(SAGE_EXTENSION)
759
760 # load sage extension here to get a crash if
761 # something is wrong with the sage library
--> 762 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 0x7f3d60547e10>>
global SAGE_EXTENSION = 'sage'
763
764
/usr/lib64/python3.6/site-packages/IPython/core/extensions.py 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 0x7f3d60547e10>>
mod = <module 'sage' from
'/usr/lib64/python3.6/site-packages/sage/__init__.py'>
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/lib64/python3.6/site-packages/IPython/core/extensions.py in
_call_load_ipython_extension(self=<IPython.core.extensions.ExtensionManager
object>, mod=<module 'sage' from
'/usr/lib64/python3.6/site-packages/sage/__init__.py'>)
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
0x7f3d6350b620>
self.shell = <sage.repl.interpreter.SageTerminalInteractiveShell object
at 0x7f3d62d73780>
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/lib64/python3.6/site-packages/sage/__init__.py in
load_ipython_extension(*args=(<sage.repl.interpreter.SageTerminalInteractiveShell
object>,))
1 __all__ = ['all']
2
3 # Make sure that the correct zlib library is loaded. This is needed
4 # to prevent the system zlib to be loaded instead of the Sage one.
5 # See https://trac.sagemath.org/ticket/23122
6 import zlib
7
8 # IPython calls this when starting up
9 def load_ipython_extension(*args):
10 import sage.repl.ipython_extension
---> 11 sage.repl.ipython_extension.load_ipython_extension(*args)
sage.repl.ipython_extension.load_ipython_extension = <function
load_ipython_extension at 0x7f3d5a3bd158>
args = (<sage.repl.interpreter.SageTerminalInteractiveShell object at
0x7f3d62d73780>,)
12
13
14 # Monkey-patch inspect.isfunction() to support Cython functions.
15 def isfunction(obj):
16 """
17 Check whether something is a function.
18
19 We assume that anything which has a genuine ``__code__``
20 attribute (not using ``__getattr__`` overrides) is a function.
21 This is meant to support Cython functions.
22
23 EXAMPLES::
24
25 sage: from inspect import isfunction
26 sage: def f(): pass
27 sage: isfunction(f)
28 True
29 sage: isfunction(lambda x:x)
30 True
31 sage: from sage.categories.coercion_methods import _mul_parent
/usr/lib64/python3.6/site-packages/sage/repl/ipython_extension.py in
wrapper(*args=(<sage.repl.interpreter.SageTerminalInteractiveShell object>,),
**kwargs={})
546 ....: if work:
547 ....: return 'foo worked'
548 ....: raise RuntimeError("foo didn't work")
549 sage: foo(False)
550 Traceback (most recent call last):
551 ...
552 RuntimeError: foo didn't work
553 sage: foo(True)
554 'foo worked'
555 sage: foo(False)
556 sage: foo(True)
557 """
558 @wraps(func)
559 def wrapper(*args, **kwargs):
560 if not wrapper.has_run:
--> 561 result = func(*args, **kwargs)
result = undefined
global func = undefined
args = (<sage.repl.interpreter.SageTerminalInteractiveShell object at
0x7f3d62d73780>,)
kwargs = {}
562 wrapper.has_run = True
563 return result
564 wrapper.has_run = False
565 return wrapper
566
567
568 @run_once
569 def load_ipython_extension(ip):
570 """
571 Load the extension in IPython.
572 """
573 # this modifies ip
574 SageCustomizations(shell=ip)
/usr/lib64/python3.6/site-packages/sage/repl/ipython_extension.py in
load_ipython_extension(ip=<sage.repl.interpreter.SageTerminalInteractiveShell
object>)
559 def wrapper(*args, **kwargs):
560 if not wrapper.has_run:
561 result = func(*args, **kwargs)
562 wrapper.has_run = True
563 return result
564 wrapper.has_run = False
565 return wrapper
566
567
568 @run_once
569 def load_ipython_extension(ip):
570 """
571 Load the extension in IPython.
572 """
573 # this modifies ip
--> 574 SageCustomizations(shell=ip)
global SageCustomizations = <class
'sage.repl.ipython_extension.SageCustomizations'>
global shell = undefined
ip = <sage.repl.interpreter.SageTerminalInteractiveShell object at
0x7f3d62d73780>
/usr/lib64/python3.6/site-packages/sage/repl/ipython_extension.py in
__init__(self=<sage.repl.ipython_extension.SageCustomizations object>,
shell=<sage.repl.interpreter.SageTerminalInteractiveShell object>)
417 def __init__(self, shell=None):
418 """
419 Initialize the Sage plugin.
420 """
421 self.shell = shell
422
423 self.auto_magics = SageMagics(shell)
424 self.shell.register_magics(self.auto_magics)
425
426 import sage.misc.edit_module as edit_module
427 self.shell.set_hook('editor', edit_module.edit_devel)
428
429 self.init_inspector()
430 self.init_line_transforms()
431
--> 432 import sage.all # until sage's import hell is fixed
sage.all = undefined
433
434 self.shell.verbose_quit = True
435 self.set_quit_hook()
436
437 self.register_interface_magics()
438
439 if SAGE_IMPORTALL == 'yes':
440 self.init_environment()
441
442 def register_interface_magics(self):
443 """
444 Register magics for each of the Sage interfaces
445 """
446 from sage.repl.interface_magic import InterfaceMagic
447 InterfaceMagic.register_all(self.shell)
/usr/lib64/python3.6/site-packages/sage/all.py in <module>()
72
73 # Add SAGE_SRC at the end of sys.path to enable Cython tracebacks
74 # (which use paths relative to SAGE_SRC)
75 sys.path.append(SAGE_SRC)
76
77
78 ###################################################################
79
80 # This import also setups the interrupt handler
81 from cysignals.signals import (AlarmInterrupt, SignalError,
82 sig_on_reset as sig_on_count)
83
84 from time import sleep
85
86 import sage.misc.lazy_import
---> 87 from sage.misc.all import * # takes a while
global sage.misc.all = undefined
88 from sage.typeset.all import *
89 from sage.repl.all import *
90
91 from sage.misc.sh import sh
92
93 from sage.libs.all import *
94 from sage.data_structures.all import *
95 from sage.doctest.all import *
96
97 from sage.structure.all import *
98 from sage.rings.all import *
99 from sage.arith.all import *
100 from sage.matrix.all import *
101
102 from sage.symbolic.all import *
/usr/lib64/python3.6/site-packages/sage/misc/all.py in <module>()
63
64 from .defaults import (set_default_variable_name,
65 series_precision, set_series_precision)
66
67 from .sage_eval import sage_eval, sageobj
68
69 from .sage_input import sage_input
70
71 lazy_import("sage.misc.cython", ["cython_lambda",
"cython_create_local_so"])
72 lazy_import("sage.misc.cython_c", "cython_compile", "cython")
73
74 from .persist import save, load, dumps, loads, db, db_save
75
76 from .func_persist import func_persist
77
---> 78 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
79 base_ring,
80 base_field,
81 basis,
82 category,
83 charpoly,
84 characteristic_polynomial,
85 coerce,
86 cyclotomic_polynomial,
87 decomposition,
88 denominator,
89 det,
90 dimension,
91 dim,
92 discriminant,
93 disc,
/usr/lib64/python3.6/site-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
32
##############################################################################
33 # There are many functions on elements of a ring, which mathematicians
34 # usually write f(x), e.g., it is weird to write x.log() and natural
35 # to write log(x). The functions below allow for the more familiar
syntax.
36
##############################################################################
37
38
39 def additive_order(x):
40 """
41 Return the additive order of ``x``.
42
/usr/lib64/python3.6/site-packages/sage/rings/complex_double.pyx in init
sage.rings.complex_double()
----> 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/lib64/python3.6/site-packages/sage/rings/ring.pyx in init sage.rings.ring()
----> 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/lib64/python3.6/site-packages/sage/structure/parent_gens.pyx in init
sage.structure.parent_gens()
----> 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/lib64/python3.6/site-packages/sage/structure/parent_base.pyx in init
sage.structure.parent_base()
----> 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/lib64/python3.6/site-packages/sage/structure/parent_old.pyx in init
sage.structure.parent_old()
----> 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/lib64/python3.6/site-packages/sage/structure/parent.pyx in init
sage.structure.parent()
----> 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, name=name)
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 ....:
25 sage: A = A_class("A")
26 sage: B = A_class("B")
27 sage: C = A_class("C")
28
29 sage: def f(a):
30 ....: return B(a.value+1)
31 ....:
/usr/lib64/python3.6/site-packages/sage/structure/category_object.pyx in init
sage.structure.category_object()
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
66
67 def guess_category(obj):
68 # this should be obsolete if things declare their categories
69 try:
70 if obj.is_field():
71 from sage.categories.all import Fields
72 return Fields()
73 except (AttributeError, NotImplementedError):
74 pass
75 try:
76 if obj.is_ring():
77 from sage.categories.all import CommutativeAlgebras,
Algebras, CommutativeRings, Rings
/usr/lib64/python3.6/site-packages/sage/categories/category.py in <module>()
90
#*****************************************************************************
91 # Copyright (C) 2005 David Kohel <ko...@maths.usyd.edu> and
92 # William Stein <wst...@math.ucsd.edu>
93 # 2008-2014 Nicolas M. Thiery <nthiery at users.sf.net>
94 #
95 # Distributed under the terms of the GNU General Public License (GPL)
96 # http://www.gnu.org/licenses/
97
#*****************************************************************************
98
99 import inspect
100 from warnings import warn
101 from sage.misc.abstract_method import abstract_method,
abstract_methods_of_class
102 from sage.misc.cachefunc import cached_method, cached_function
103 from sage.misc.c3_controlled import _cmp_key, _cmp_key_named,
C3_sorted_merge
104 from sage.misc.lazy_attribute import lazy_attribute
--> 105 from sage.misc.unknown import Unknown
global sage.misc.unknown = undefined
global Unknown = undefined
106 from sage.misc.weak_dict import WeakValueDictionary
107
108 from sage.structure.sage_object import SageObject
109 from sage.structure.unique_representation import UniqueRepresentation
110 from sage.structure.dynamic_class import DynamicMetaclass, dynamic_class
111
112 from sage.categories.category_cy_helper import category_sort_key,
_sort_uniq, _flatten_categories, join_as_tuple
113
114 _join_cache = WeakValueDictionary()
115
116 class Category(UniqueRepresentation, SageObject):
117 r"""
118 The base class for modeling mathematical categories, like for
example:
119
120 - ``Groups()``: the category of groups
/usr/lib64/python3.6/site-packages/sage/misc/unknown.py in <module>()
157 sage: for a in l: print([a <= b for b in l])
158 [True, True, True]
159 [False, True, True]
160 [False, False, True]
161 """
162 if other is self:
163 return 0
164 if isinstance(other, bool):
165 if other:
166 return -1
167 else:
168 return +1
169 else:
170 raise ValueError("Unable to compare {} with
{}".format(self, other))
171
--> 172 Unknown = UnknownClass()
global Unknown = undefined
global UnknownClass = <class 'sage.misc.unknown.UnknownClass'>
/usr/lib64/python3.6/site-packages/sage/misc/classcall_metaclass.pyx in
sage.misc.classcall_metaclass.ClasscallMetaclass.__call__
(/dev/shm/portage/sci-mathematics/sage-9999/work/sage-9999/src-python3_6/build/cythonized/sage/misc/classcall_metaclass.c:1469)()
/usr/lib64/python3.6/site-packages/sage/misc/cachefunc.pyx in
sage.misc.cachefunc.CachedFunction.__call__
(/dev/shm/portage/sci-mathematics/sage-9999/work/sage-9999/src-python3_6/build/cythonized/sage/misc/cachefunc.c:5983)()
/usr/lib64/python3.6/site-packages/sage/misc/cachefunc.pyx in
sage.misc.cachefunc.CachedFunction.get_key_args_kwds
(/dev/shm/portage/sci-mathematics/sage-9999/work/sage-9999/src-python3_6/build/cythonized/sage/misc/cachefunc.c:4306)()
/usr/lib64/python3.6/site-packages/sage/misc/cachefunc.pyx in
sage.misc.cachefunc.CachedFunction.fix_args_kwds
(/dev/shm/portage/sci-mathematics/sage-9999/work/sage-9999/src-python3_6/build/cythonized/sage/misc/cachefunc.c:4451)()
/usr/lib64/python3.6/site-packages/sage/misc/cachefunc.pyx in
sage.misc.cachefunc.CachedFunction.argfix_init
(/dev/shm/portage/sci-mathematics/sage-9999/work/sage-9999/src-python3_6/build/cythonized/sage/misc/cachefunc.c:4381)()
/usr/lib64/python3.6/site-packages/sage/misc/function_mangling.pyx in
sage.misc.function_mangling.ArgumentFixer.__init__
(/dev/shm/portage/sci-mathematics/sage-9999/work/sage-9999/src-python3_6/build/cythonized/sage/misc/function_mangling.c:1298)()
/usr/lib64/python3.6/site-packages/sage/misc/sageinspect.py in
sage_getargspec(obj=<function CachedRepresentation.__classcall__>)
1425 if isinstance(obj, (lazy_attribute, AbstractMethod)):
1426 source = sage_getsource(obj)
1427 return inspect.ArgSpec(*_sage_getargspec_cython(source))
1428 if not callable(obj):
1429 raise TypeError("obj is not a code object")
1430 try:
1431 return inspect.ArgSpec(*obj._sage_argspec_())
1432 except (AttributeError, TypeError):
1433 pass
1434 # If we are lucky, the function signature is embedded in the
docstring.
1435 docstring = _sage_getdoc_unformatted(obj)
1436 try:
1437 name = obj.__name__
1438 except AttributeError:
1439 name = type(obj).__name__
-> 1440 argspec = _extract_embedded_signature(docstring, name)[1]
argspec = undefined
global _extract_embedded_signature = <function
_extract_embedded_signature at 0x7f3d5abaa0d0>
docstring = b'\n Construct a new object of this class or reuse
an existing one.\n\n See also :class:`CachedRepresentation` and\n
:class:`UniqueRepresentation` for a discussion.\n\n EXAMPLES::\n\n
sage: x = UniqueRepresentation()\n sage: y =
UniqueRepresentation()\n sage: x is y # indirect doctest\n
True\n '
name = '__classcall__'
1441 if argspec is not None:
1442 return argspec
1443 if hasattr(obj, '__code__'):
1444 # Note that this may give a wrong result for the constants!
1445 try:
1446 args, varargs, varkw = inspect.getargs(obj.__code__)
1447 return inspect.ArgSpec(args, varargs, varkw,
obj.__defaults__)
1448 except (TypeError, AttributeError):
1449 pass
1450 if isclassinstance(obj):
1451 if hasattr(obj,'_sage_src_'): #it may be a decorator!
1452 source = sage_getsource(obj)
1453 # we try to find the definition and parse it by
_sage_getargspec_ast
1454 proxy = 'def dummy' +
_grep_first_pair_of_parentheses(source) + ':\n return'
1455 try:
/usr/lib64/python3.6/site-packages/sage/misc/sageinspect.py in
_extract_embedded_signature(docstring=b'\n Construct a new object of
this class... # indirect doctest\n True\n ',
name='__classcall__')
245
246 EXAMPLES::
247
248 sage: from sage.misc.sageinspect import
_extract_embedded_signature
249 sage: from sage.misc.nested_class import MainClass
250 sage:
print(_extract_embedded_signature(MainClass.NestedClass.NestedSubClass.dummy.__doc__,
'dummy')[0])
251 File: sage/misc/nested_class.pyx (starting at line 314)
252 ...
253 sage:
_extract_embedded_signature(MainClass.NestedClass.NestedSubClass.dummy.__doc__,
'dummy')[1]
254 ArgSpec(args=['self', 'x', 'r'], varargs='args',
keywords='kwds', defaults=((1, 2, 3.4),))
255 sage: _extract_embedded_signature(range.__call__.__doc__,
'__call__')
256 ('x.__call__(...) <==> x(...)', None)
257
258 """
259 # If there is an embedded signature, it is in the first line
--> 260 L = docstring.split(os.linesep, 1)
L = undefined
docstring.split = <built-in method split of bytes object at
0x7f3d589de990>
global os.linesep = '\n'
261 firstline = L[0]
262 # It is possible that the signature is of the form
ClassName.method_name,
263 # and thus we need to do the following:
264 if name not in firstline:
265 return docstring, None
266 signature = firstline.split(name, 1)[-1]
267 if signature.startswith("(") and signature.endswith(")"):
268 docstring = L[1] if len(L)>1 else '' # Remove first line, keep
the rest
269 def_string = "def "+name+signature+": pass"
270 try:
271 return docstring,
inspect.ArgSpec(*_sage_getargspec_cython(def_string))
272 except SyntaxError:
273 docstring = os.linesep.join(L)
274 return docstring, None
275
TypeError: a bytes-like object is required, not 'str'
***************************************************************************
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