No, start-up fails with a related(?) seg fault.
Am Dienstag, 5. April 2016 11:50:01 UTC+2 schrieb Dima Pasechnik:
>
> Does Sage start for you?
>
> On Tuesday, April 5, 2016 at 10:39:24 AM UTC+1,
> alexander.s...@googlemail.com wrote:
>>
>> My home directory is in C:\cygwin64. Permission were mixed up, but after
>> restoring them the error persists.
>> Although sage is no longer complaining about DOT_SAGE permissions.
>>
>> Am Dienstag, 5. April 2016 10:32:06 UTC+2 schrieb Dima Pasechnik:
>>>
>>>
>>>
>>> On Tuesday, April 5, 2016 at 7:56:01 AM UTC+1,
>>> alexander.s...@googlemail.com wrote:
>>>>
>>>> I faced the same error, which appears to be caused by gcc-5.3.0. After
>>>> downgrading to gcc-4.9.3, brial compiled successfully.
>>>> I am now stuck with a segmentation fault related to doc-html.
>>>>
>>> It seems to crash on
>>> "Setting permissions of DOT_SAGE directory so only you can read and
>>> write it."
>>>
>>> do you have your home directory in an unusual location/with unusual
>>> permissions?
>>> (cygwin is not known to be 100% compatible in this sense, e.g. on Samba
>>> shares things
>>> can go funny, etc...)
>>>
>>>
>>>
>>>
>>>>
>>>> Am Mittwoch, 30. März 2016 19:15:14 UTC+2 schrieb Witold Żarowski:
>>>>>
>>>>> I can confirm that I was able to compile mprf using the patch you
>>>>> provided.
>>>>> Then ATLAS was compiling for ages, and after that another error
>>>>> occurred, this time compiling brial:
>>>>> ========================================
>>>>> libtool: compile: g++ -DHAVE_CONFIG_H -I.
>>>>> -I../../libpolybori/include/polybori -I../../groebner/include
>>>>> -I../../libpolybori/include -std=c++98 -ftemplate-depth-100 -g -O2 -MT
>>>>> BlockDegLexOrder.lo -MD -MP -MF .deps/BlockDegLexOrder.Tpo -c
>>>>> BlockDegLexOrder.cc -DDLL_EXPORT -DPIC -o .libs/BlockDegLexOrder.o
>>>>> In file included from
>>>>> ../../libpolybori/include/polybori/cudd/../../../../Cudd/cudd/cudd.h:90:0,
>>>>> from
>>>>> ../../libpolybori/include/polybori/cudd/cudd.h:20,
>>>>> from
>>>>> ../../libpolybori/include/polybori/pbori_defs.h:27,
>>>>> from
>>>>> ../../libpolybori/include/polybori/BlockDegLexOrder.h:19,
>>>>> from BlockDegLexOrder.cc:18:
>>>>> /usr/lib/gcc/x86_64-pc-cygwin/5.3.0/include/c++/cstdio:175:11: error:
>>>>> '::snprintf' has not been declared
>>>>> using ::snprintf;
>>>>> ^
>>>>> /usr/lib/gcc/x86_64-pc-cygwin/5.3.0/include/c++/cstdio:176:11: error:
>>>>> '::vfscanf' has not been declared
>>>>> using ::vfscanf;
>>>>> ^
>>>>> ========================================
>>>>>
>>>>
--
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***************************************************************************
IPython post-mortem report
{'commit_hash': u'7f50c6b',
'commit_source': 'installation',
'default_encoding': 'UTF-8',
'ipython_path':
'/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/IPython',
'ipython_version': '4.1.2',
'os_name': 'posix',
'platform': 'CYGWIN_NT-6.1-2.4.1-0.293-5-3-x86_64-64bit',
'sys_executable': '/home/stottmeister/downloads/sage-7.1/local/bin/python',
'sys_platform': 'cygwin',
'sys_version': '2.7.10 (default, Mar 22 2016, 15:55:48) \n[GCC 4.9.3]'}
***************************************************************************
***************************************************************************
Crash traceback:
---------------------------------------------------------------------------
---------------------------------------------------------------------------
SignalErrorPython 2.7.10: /home/stottmeister/downloads/sage-7.1/local/bin/python
Tue Apr 5 11:51:08 2016
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.
/home/stottmeister/downloads/sage-7.1/src/bin/sage-ipython in <module>()
1 #!/usr/bin/env python
2 # -*- coding: utf-8 -*-
3 """
4 Sage IPython startup script.
5 """
6
7 # Install extra readline commands before IPython initialization
8 from sage.repl.readline_extra_commands import *
9
10 from sage.repl.interpreter import SageTerminalApp
11
12 app = SageTerminalApp.instance()
---> 13 app.initialize()
global app.initialize = <bound method SageTerminalApp.initialize of
<sage.repl.interpreter.SageTerminalApp object at 0x6ffffcc7510>>
14 app.start()
<decorator-gen-111> in initialize(self=<sage.repl.interpreter.SageTerminalApp
object>, argv=None)
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/traitlets/config/application.pyc
in catch_config_error(method=<function initialize>,
app=<sage.repl.interpreter.SageTerminalApp object>, *args=(None,), **kwargs={})
59
60
#-----------------------------------------------------------------------------
61 # Application class
62
#-----------------------------------------------------------------------------
63
64 @decorator
65 def catch_config_error(method, app, *args, **kwargs):
66 """Method decorator for catching invalid config
(Trait/ArgumentErrors) during init.
67
68 On a TraitError (generally caused by bad config), this will print
the trait's
69 message, and exit the app.
70
71 For use on init methods, to prevent invoking excepthook on invalid
input.
72 """
73 try:
---> 74 return method(app, *args, **kwargs)
method = <function initialize at 0x6fffd93af50>
app = <sage.repl.interpreter.SageTerminalApp object at 0x6ffffcc7510>
args = (None,)
kwargs = {}
75 except (TraitError, ArgumentError) as e:
76 app.print_help()
77 app.log.fatal("Bad config encountered during initialization:")
78 app.log.fatal(str(e))
79 app.log.debug("Config at the time: %s", app.config)
80 app.exit(1)
81
82
83 class ApplicationError(Exception):
84 pass
85
86
87 class LevelFormatter(logging.Formatter):
88 """Formatter with additional `highlevel` record
89
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/IPython/terminal/ipapp.pyc
in initialize(self=<sage.repl.interpreter.SageTerminalApp object>, argv=None)
291
292 return super(TerminalIPythonApp, self).parse_command_line(argv)
293
294 @catch_config_error
295 def initialize(self, argv=None):
296 """Do actions after construct, but before starting the app."""
297 super(TerminalIPythonApp, self).initialize(argv)
298 if self.subapp is not None:
299 # don't bother initializing further, starting subapp
300 return
301 # print self.extra_args
302 if self.extra_args and not self.something_to_run:
303 self.file_to_run = self.extra_args[0]
304 self.init_path()
305 # create the shell
--> 306 self.init_shell()
self.init_shell = <bound method SageTerminalApp.init_shell of
<sage.repl.interpreter.SageTerminalApp object at 0x6ffffcc7510>>
307 # and draw the banner
308 self.init_banner()
309 # Now a variety of things that happen after the banner is
printed.
310 self.init_gui_pylab()
311 self.init_extensions()
312 self.init_code()
313
314 def init_shell(self):
315 """initialize the InteractiveShell instance"""
316 # Create an InteractiveShell instance.
317 # shell.display_banner should always be False for the terminal
318 # based app, because we call shell.show_banner() by hand below
319 # so the banner shows *before* all extension loading stuff.
320 self.shell = TerminalInteractiveShell.instance(parent=self,
321 display_banner=False,
profile_dir=self.profile_dir,
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/sage/repl/interpreter.pyc
in init_shell(self=<sage.repl.interpreter.SageTerminalApp object>)
793 self.shell.has_sage_extensions = SAGE_EXTENSION in
self.extensions
794
795 # Load the %lprun extension if available
796 try:
797 import line_profiler
798 except ImportError:
799 pass
800 else:
801 self.extensions.append('line_profiler')
802
803 if self.shell.has_sage_extensions:
804 self.extensions.remove(SAGE_EXTENSION)
805
806 # load sage extension here to get a crash if
807 # something is wrong with the sage library
--> 808 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 0x6fffd609f10>>
global SAGE_EXTENSION = 'sage'
809
810
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/IPython/core/extensions.pyc
in load_extension(self=<IPython.core.extensions.ExtensionManager object>,
module_str='sage')
71
72 Returns the string "already loaded" if the extension is already
loaded,
73 "no load function" if the module doesn't have a
load_ipython_extension
74 function, or None if it succeeded.
75 """
76 if module_str in self.loaded:
77 return "already loaded"
78
79 from IPython.utils.syspathcontext import prepended_to_syspath
80
81 with self.shell.builtin_trap:
82 if module_str not in sys.modules:
83 with prepended_to_syspath(self.ipython_extension_dir):
84 __import__(module_str)
85 mod = sys.modules[module_str]
---> 86 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 0x6fffd609f10>>
mod = <module 'sage' from
'/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/sage/__init__.pyc'>
87 self.loaded.add(module_str)
88 else:
89 return "no load function"
90
91 def unload_extension(self, module_str):
92 """Unload an IPython extension by its module name.
93
94 This function looks up the extension's name in ``sys.modules``
and
95 simply calls ``mod.unload_ipython_extension(self)``.
96
97 Returns the string "no unload function" if the extension
doesn't define
98 a function to unload itself, "not loaded" if the extension
isn't loaded,
99 otherwise None.
100 """
101 if module_str not in self.loaded:
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/IPython/core/extensions.pyc
in _call_load_ipython_extension(self=<IPython.core.extensions.ExtensionManager
object>, mod=<module 'sage' from
'/home/stottmeister/download...l/lib/python2.7/site-packages/sage/__init__.pyc'>)
118 """
119 from IPython.utils.syspathcontext import prepended_to_syspath
120
121 if (module_str in self.loaded) and (module_str in sys.modules):
122 self.unload_extension(module_str)
123 mod = sys.modules[module_str]
124 with prepended_to_syspath(self.ipython_extension_dir):
125 reload(mod)
126 if self._call_load_ipython_extension(mod):
127 self.loaded.add(module_str)
128 else:
129 self.load_extension(module_str)
130
131 def _call_load_ipython_extension(self, mod):
132 if hasattr(mod, 'load_ipython_extension'):
--> 133 mod.load_ipython_extension(self.shell)
mod.load_ipython_extension = <function load_ipython_extension at
0x6ffffcc3f50>
self.shell = <sage.repl.interpreter.SageTerminalInteractiveShell object
at 0x6fffd969210>
134 return True
135
136 def _call_unload_ipython_extension(self, mod):
137 if hasattr(mod, 'unload_ipython_extension'):
138 mod.unload_ipython_extension(self.shell)
139 return True
140
141 def install_extension(self, url, filename=None):
142 """Download and install an IPython extension.
143
144 If filename is given, the file will be so named (inside the
extension
145 directory). Otherwise, the name from the URL will be used. The
file must
146 have a .py or .zip extension; otherwise, a ValueError will be
raised.
147
148 Returns the full path to the installed file.
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/sage/__init__.pyc
in
load_ipython_extension(*args=(<sage.repl.interpreter.SageTerminalInteractiveShell
object>,))
1 __all__ = ['all']
2
3 # IPython calls this when starting up
4 def load_ipython_extension(*args):
5 import sage.repl.ipython_extension
----> 6 sage.repl.ipython_extension.load_ipython_extension(*args)
sage.repl.ipython_extension.load_ipython_extension = <function
load_ipython_extension at 0x6fffd61c398>
args = (<sage.repl.interpreter.SageTerminalInteractiveShell object at
0x6fffd969210>,)
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/sage/repl/ipython_extension.pyc
in wrapper(*args=(<sage.repl.interpreter.SageTerminalInteractiveShell
object>,), **kwargs={})
429 ....: if work:
430 ....: return 'foo worked'
431 ....: raise RuntimeError("foo didn't work")
432 sage: foo(False)
433 Traceback (most recent call last):
434 ...
435 RuntimeError: foo didn't work
436 sage: foo(True)
437 'foo worked'
438 sage: foo(False)
439 sage: foo(True)
440 """
441 @wraps(func)
442 def wrapper(*args, **kwargs):
443 if not wrapper.has_run:
--> 444 result = func(*args, **kwargs)
result = undefined
global func = undefined
args = (<sage.repl.interpreter.SageTerminalInteractiveShell object at
0x6fffd969210>,)
kwargs = {}
445 wrapper.has_run = True
446 return result
447 wrapper.has_run = False
448 return wrapper
449
450
451 @run_once
452 def load_ipython_extension(ip):
453 """
454 Load the extension in IPython.
455 """
456 # this modifies ip
457 SageCustomizations(shell=ip)
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/sage/repl/ipython_extension.pyc
in
load_ipython_extension(ip=<sage.repl.interpreter.SageTerminalInteractiveShell
object>)
442 def wrapper(*args, **kwargs):
443 if not wrapper.has_run:
444 result = func(*args, **kwargs)
445 wrapper.has_run = True
446 return result
447 wrapper.has_run = False
448 return wrapper
449
450
451 @run_once
452 def load_ipython_extension(ip):
453 """
454 Load the extension in IPython.
455 """
456 # this modifies ip
--> 457 SageCustomizations(shell=ip)
global SageCustomizations = <class
'sage.repl.ipython_extension.SageCustomizations'>
global shell = undefined
ip = <sage.repl.interpreter.SageTerminalInteractiveShell object at
0x6fffd969210>
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/sage/repl/ipython_extension.pyc
in __init__(self=<sage.repl.ipython_extension.SageCustomizations object>,
shell=<sage.repl.interpreter.SageTerminalInteractiveShell object>)
330 """
331 self.shell = shell
332
333 self.auto_magics = SageMagics(shell)
334 self.shell.register_magics(self.auto_magics)
335
336 import sage.misc.edit_module as edit_module
337 self.shell.set_hook('editor', edit_module.edit_devel)
338
339 self.init_inspector()
340 self.init_line_transforms()
341
342 import inputhook
343 inputhook.install()
344
--> 345 import sage.all # until sage's import hell is fixed
sage.all = undefined
346
347 self.shell.verbose_quit = True
348 self.set_quit_hook()
349
350 self.register_interface_magics()
351
352 if SAGE_IMPORTALL == 'yes':
353 self.init_environment()
354
355 def register_interface_magics(self):
356 """
357 Register magics for each of the Sage interfaces
358 """
359 from sage.repl.interface_magic import InterfaceMagic
360 InterfaceMagic.register_all(self.shell)
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/sage/all.py
in <module>()
90
91 from sage.libs.all import *
92 from sage.data_structures.all import *
93 from sage.doctest.all import *
94 try:
95 from sage.dev.all import *
96 except ImportError:
97 pass # dev scripts are disabled
98
99 from sage.structure.all import *
100 from sage.rings.all import *
101 from sage.arith.all import *
102 from sage.matrix.all import *
103
104 # This must come before Calculus -- it initializes the Pynac library.
--> 105 import sage.symbolic.pynac
global sage.symbolic.pynac = undefined
106
107 from sage.modules.all import *
108 from sage.monoids.all import *
109 from sage.algebras.all import *
110 from sage.modular.all import *
111 from sage.sat.all import *
112 from sage.schemes.all import *
113 from sage.graphs.all import *
114 from sage.groups.all import *
115 from sage.databases.all import *
116 from sage.categories.all import *
117 from sage.sets.all import *
118 from sage.probability.all import *
119 from sage.interfaces.all import *
120
sage/symbolic/pynac.pyx in init sage.symbolic.pynac
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/symbolic/pynac.cpp:28292)()
sage/symbolic/pynac.pyx in sage.symbolic.pynac.init_pynac_I
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/symbolic/pynac.cpp:24698)()
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.pyc
in QuadraticField(D=-1, name='I', check=True, embedding=1.00000000000000*I,
latex_name='i', **args={})
883 False
884 """
885 D = QQ(D)
886 if check:
887 if D.is_square():
888 raise ValueError("D must not be a perfect square.")
889 R = QQ['x']
890 f = R([-D, 0, 1])
891 if embedding is True:
892 if D > 0:
893 embedding = RLF(D).sqrt()
894 else:
895 embedding = CLF(D).sqrt()
896 if latex_name == 'sqrt':
897 latex_name = r'\sqrt{%s}' % D
--> 898 return NumberField(f, name, check=False, embedding=embedding,
latex_name=latex_name, **args)
global NumberField = <function NumberField at 0x6fdf0496cf8>
f = x^2 + 1
name = 'I'
check = True
global False = undefined
embedding = 1.00000000000000*I
latex_name = 'i'
args = {}
899
900 def is_AbsoluteNumberField(x):
901 """
902 Return True if x is an absolute number field.
903
904 EXAMPLES::
905
906 sage: from sage.rings.number_field.number_field import
is_AbsoluteNumberField
907 sage: is_AbsoluteNumberField(NumberField(x^2+1,'a'))
908 True
909 sage: is_AbsoluteNumberField(NumberField([x^3 + 17, x^2+1],'a'))
910 False
911
912 The rationals are a number field, but they're not of the absolute
913 number field class.
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.pyc
in NumberField(polynomial=x^2 + 1, name='I', check=False, names=None,
embedding=1.00000000000000*I, latex_name='i', assume_disc_small=False,
maximize_at_primes=None, structure=None)
496 (2,)
497
498 It is an error not to specify the generator::
499
500 sage: K = NumberField(x^2-2)
501 Traceback (most recent call last):
502 ...
503 TypeError: You must specify the name of the generator.
504
505 """
506 if names is not None:
507 name = names
508 if isinstance(polynomial, (list,tuple)):
509 return NumberFieldTower(polynomial, names=name, check=check,
embeddings=embedding, latex_names=latex_name,
assume_disc_small=assume_disc_small, maximize_at_primes=maximize_at_primes,
structures=structure)
510
--> 511 return NumberField_version2(polynomial=polynomial, name=name,
check=check, embedding=embedding, latex_name=latex_name,
assume_disc_small=assume_disc_small, maximize_at_primes=maximize_at_primes,
structure=structure)
global NumberField_version2 = <class
'sage.rings.number_field.number_field.NumberFieldFactory'>
polynomial = x^2 + 1
name = 'I'
check = False
embedding = 1.00000000000000*I
latex_name = 'i'
assume_disc_small = False
maximize_at_primes = None
structure = None
512
513 class NumberFieldFactory(UniqueFactory):
514 r"""
515 Factory for number fields.
516
517 This should usually not be called directly, use :meth:`NumberField`
518 instead.
519
520 INPUT:
521
522 - ``polynomial`` - a polynomial over `\QQ` or a number field.
523 - ``name`` - a string (default: ``'a'``), the name of the
generator
524 - ``check`` - a boolean (default: ``True``); do type checking
and
525 irreducibility checking.
526 - ``embedding`` - ``None`` or an element, the images of the
generator
sage/structure/factory.pyx in sage.structure.factory.UniqueFactory.__call__
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/structure/factory.c:1550)()
sage/structure/factory.pyx in sage.structure.factory.UniqueFactory.get_object
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/structure/factory.c:1905)()
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.pyc
in create_object(self=<class
'sage.rings.number_field.number_field.NumberFieldFactory'>, version=(7, 1),
key=(Rational Field, x^2 + 1, ('I',), 1.00000000000000*I, 'i', None, False,
None), check=False)
618
619 TESTS::
620
621 sage: from sage.rings.number_field.number_field import
NumberFieldFactory
622 sage: nff = NumberFieldFactory("number_field_factory")
623 sage: R.<x> = QQ[]
624 sage: nff.create_object(None, (QQ, x^2 + 1, ('a',), None,
None, None, False, None), check=False)
625 Number Field in a with defining polynomial x^2 + 1
626
627 """
628 base, polynomial, name, embedding, latex_name,
maximize_at_primes, assume_disc_small, structure = key
629
630 if isinstance(base, NumberField_generic):
631 return base.extension(polynomial, name, check=check,
embedding=None, structure=structure) # relative number fields do not support
embeddings
632 if polynomial.degree() == 2:
--> 633 return NumberField_quadratic(polynomial, name, latex_name,
check, embedding, assume_disc_small=assume_disc_small,
maximize_at_primes=maximize_at_primes, structure=structure)
global NumberField_quadratic = <class
'sage.rings.number_field.number_field.NumberField_quadratic'>
polynomial = x^2 + 1
name = ('I',)
latex_name = 'i'
check = False
embedding = 1.00000000000000*I
assume_disc_small = False
maximize_at_primes = None
structure = None
634 else:
635 return NumberField_absolute(polynomial, name, latex_name,
check, embedding, assume_disc_small=assume_disc_small,
maximize_at_primes=maximize_at_primes, structure=structure)
636
637 NumberField_version2 =
NumberFieldFactory("sage.rings.number_field.number_field.NumberField_version2")
638
639 def NumberFieldTower(polynomials, names, check=True, embeddings=None,
latex_names=None, assume_disc_small=False, maximize_at_primes=None,
structures=None):
640 """
641 Create the tower of number fields defined by the polynomials in the
list
642 ``polynomials``.
643
644 INPUT:
645
646 - ``polynomials`` - a list of polynomials. Each entry must be
polynomial
647 which is irreducible over the number field generated by the roots
of the
648 following entries.
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.pyc
in __init__(self=Number Field in I with defining polynomial x^2 + 1,
polynomial=x^2 + 1, name=('I',), latex_name='i', check=False,
embedding=1.00000000000000*I, assume_disc_small=False, maximize_at_primes=None,
structure=None)
10114 D = (Dpoly.numer() * Dpoly.denom()).squarefree_part(bound=10000)
10115 self._D = D
10116 parts = -b/(2*a), (Dpoly/D).sqrt()/(2*a)
10117 self._NumberField_generic__gen = self._element_class(self,
parts)
10118
10119 # we must set the flag _standard_embedding *before* any element
creation
10120 # Note that in the following code, no element is built.
10121 emb = self.coerce_embedding()
10122 if emb is not None:
10123 rootD =
number_field_element_quadratic.NumberFieldElement_quadratic(self, (QQ(0),QQ(1)))
10124 if D > 0:
10125 from sage.rings.real_double import RDF
10126 self._standard_embedding =
RDF.has_coerce_map_from(self) and RDF(rootD) > 0
10127 else:
10128 from sage.rings.complex_double import CDF
> 10129 self._standard_embedding =
> CDF.has_coerce_map_from(self) and CDF(rootD).imag() > 0
self._standard_embedding = True
CDF.has_coerce_map_from = <built-in method has_coerce_map_from of
sage.rings.complex_double.ComplexDoubleField_class object at 0x6fdf0ad26b8>
self = Number Field in I with defining polynomial x^2 + 1
CDF = Complex Double Field
rootD.imag = <built-in method imag of
sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic
object at 0x6fdef9b2610>
10130
10131 # we reset _NumberField_generic__gen has the flag
standard_embedding
10132 # might be modified
10133 self._NumberField_generic__gen = self._element_class(self,
parts)
10134
10135 # NumberField_absolute.__init__(...) set _zero_element and
10136 # _one_element to NumberFieldElement_absolute values, which is
10137 # wrong (and dangerous; such elements can actually be used to
10138 # crash Sage: see #5316). Overwrite them with correct values.
10139 self._zero_element = self._element_class(self, (QQ(0), QQ(0)))
10140 self._one_element = self._element_class(self, (QQ(1), QQ(0)))
10141
10142 def _coerce_map_from_(self, K):
10143 """
10144 EXAMPLES::
sage/rings/complex_double.pyx in
sage.rings.complex_double.ComplexDoubleField_class.__call__
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/complex_double.c:5300)()
sage/structure/parent.pyx in sage.structure.parent.Parent.__call__
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/structure/parent.c:9828)()
sage/categories/map.pyx in sage.categories.map.FormalCompositeMap._call_
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/categories/map.c:11323)()
sage/rings/number_field/number_field_morphisms.pyx in
sage.rings.number_field.number_field_morphisms.NumberFieldEmbedding._call_
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/number_field/number_field_morphisms.c:3111)()
sage/rings/number_field/number_field_morphisms.pyx in
sage.rings.number_field.number_field_morphisms.NumberFieldEmbedding._call_
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/number_field/number_field_morphisms.c:3046)()
sage/rings/polynomial/polynomial_rational_flint.pyx in
sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint.__call__
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/polynomial/polynomial_rational_flint.cpp:6926)()
sage/rings/polynomial/polynomial_element.pyx in
sage.rings.polynomial.polynomial_element.Polynomial.__call__
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/polynomial/polynomial_element.c:8438)()
sage/structure/element.pyx in sage.structure.element.Element.is_zero
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/structure/element.c:8934)()
sage/structure/element.pyx in sage.structure.element.Element.__nonzero__
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/structure/element.c:8867)()
sage/structure/element.pyx in sage.structure.element.Element.__richcmp__
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/structure/element.c:9689)()
sage/structure/element.pyx in sage.structure.element.Element._richcmp_
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/structure/element.c:9870)()
sage/rings/real_lazy.pyx in sage.rings.real_lazy.LazyFieldElement._cmp_
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/real_lazy.c:8629)()
sage/rings/real_lazy.pyx in sage.rings.real_lazy.LazyFieldElement.approx
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/real_lazy.c:9310)()
sage/rings/real_lazy.pyx in sage.rings.real_lazy.LazyAlgebraic.eval
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/real_lazy.c:17724)()
sage/rings/polynomial/polynomial_element.pyx in
sage.rings.polynomial.polynomial_element.Polynomial.roots
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/polynomial/polynomial_element.c:54070)()
/home/stottmeister/downloads/sage-7.1/local/lib/python2.7/site-packages/sage/rings/polynomial/complex_roots.pyc
in complex_roots(p=x^2 + 1, skip_squarefree=False, retval='algebraic',
min_prec=0)
243 if skip_squarefree:
244 factors = [(p, 1)]
245 else:
246 factors = p.squarefree_decomposition()
247
248 prec = 53
249 while True:
250 CC = ComplexField(prec)
251 CCX = CC['x']
252
253 all_rts = []
254 ok = True
255
256 for (factor, exp) in factors:
257 cfac = CCX(factor)
--> 258 rts = cfac.roots(multiplicities=False)
rts = undefined
cfac.roots = <built-in method roots of
PolynomialRing_field_with_category.element_class object at 0x6fdef5d3ae0>
global multiplicities = undefined
global False = undefined
259 # Make sure the number of roots we found is the degree. If
260 # we don't find that many roots, it's because the
261 # precision isn't big enough and though the (possibly
262 # exact) polynomial "factor" is squarefree, it is not
263 # squarefree as an element of CCX.
264 if len(rts) < factor.degree():
265 ok = False
266 break
267 irts = interval_roots(factor, rts, max(prec, min_prec))
268 if irts is None:
269 ok = False
270 break
271 if retval != 'interval':
272 factor = QQbar.common_polynomial(factor)
273 for irt in irts:
sage/rings/polynomial/polynomial_element.pyx in
sage.rings.polynomial.polynomial_element.Polynomial.roots
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/polynomial/polynomial_element.c:51904)()
sage/rings/polynomial/polynomial_element.pyx in
sage.rings.polynomial.polynomial_element.Polynomial._pari_
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/polynomial/polynomial_element.c:46962)()
sage/rings/polynomial/polynomial_element.pyx in
sage.rings.polynomial.polynomial_element.Polynomial._pari_with_name
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/polynomial/polynomial_element.c:47464)()
sage/rings/complex_number.pyx in sage.rings.complex_number.ComplexNumber._pari_
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/complex_number.c:6870)()
sage/rings/real_mpfr.pyx in sage.rings.real_mpfr.RealNumber._pari_
(/home/stottmeister/downloads/sage-7.1/src/build/cythonized/sage/rings/real_mpfr.c:22176)()
src/cysignals/signals.pyx in cysignals.signals.sig_raise_exception
(build/src/cysignals/signals.c:1342)()
SignalError: Segmentation fault
***************************************************************************
History of session input:
*** Last line of input (may not be in above history):
