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  1. ckpts/universal/global_step120/zero/11.mlp.dense_h_to_4h.weight/exp_avg.pt +3 -0
  2. ckpts/universal/global_step120/zero/11.mlp.dense_h_to_4h.weight/exp_avg_sq.pt +3 -0
  3. ckpts/universal/global_step120/zero/13.input_layernorm.weight/exp_avg.pt +3 -0
  4. ckpts/universal/global_step120/zero/13.input_layernorm.weight/fp32.pt +3 -0
  5. ckpts/universal/global_step120/zero/15.post_attention_layernorm.weight/exp_avg.pt +3 -0
  6. ckpts/universal/global_step120/zero/15.post_attention_layernorm.weight/exp_avg_sq.pt +3 -0
  7. ckpts/universal/global_step120/zero/15.post_attention_layernorm.weight/fp32.pt +3 -0
  8. venv/lib/python3.10/site-packages/sympy/core/__pycache__/add.cpython-310.pyc +0 -0
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  28. venv/lib/python3.10/site-packages/sympy/interactive/__pycache__/printing.cpython-310.pyc +0 -0
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  30. venv/lib/python3.10/site-packages/sympy/interactive/__pycache__/traversal.cpython-310.pyc +0 -0
  31. venv/lib/python3.10/site-packages/sympy/interactive/printing.py +562 -0
  32. venv/lib/python3.10/site-packages/sympy/interactive/session.py +463 -0
  33. venv/lib/python3.10/site-packages/sympy/interactive/tests/__init__.py +0 -0
  34. venv/lib/python3.10/site-packages/sympy/interactive/tests/__pycache__/__init__.cpython-310.pyc +0 -0
  35. venv/lib/python3.10/site-packages/sympy/interactive/tests/__pycache__/test_interactive.cpython-310.pyc +0 -0
  36. venv/lib/python3.10/site-packages/sympy/interactive/tests/__pycache__/test_ipython.cpython-310.pyc +0 -0
  37. venv/lib/python3.10/site-packages/sympy/interactive/tests/test_interactive.py +10 -0
  38. venv/lib/python3.10/site-packages/sympy/interactive/tests/test_ipython.py +278 -0
  39. venv/lib/python3.10/site-packages/sympy/interactive/traversal.py +95 -0
  40. venv/lib/python3.10/site-packages/sympy/sandbox/__init__.py +8 -0
  41. venv/lib/python3.10/site-packages/sympy/sandbox/__pycache__/__init__.cpython-310.pyc +0 -0
  42. venv/lib/python3.10/site-packages/sympy/sandbox/__pycache__/indexed_integrals.cpython-310.pyc +0 -0
  43. venv/lib/python3.10/site-packages/sympy/sandbox/indexed_integrals.py +72 -0
  44. venv/lib/python3.10/site-packages/sympy/sandbox/tests/__init__.py +0 -0
  45. venv/lib/python3.10/site-packages/sympy/sandbox/tests/__pycache__/__init__.cpython-310.pyc +0 -0
  46. venv/lib/python3.10/site-packages/sympy/sandbox/tests/__pycache__/test_indexed_integrals.cpython-310.pyc +0 -0
  47. venv/lib/python3.10/site-packages/sympy/sandbox/tests/test_indexed_integrals.py +25 -0
  48. venv/lib/python3.10/site-packages/sympy/series/__init__.py +23 -0
  49. venv/lib/python3.10/site-packages/sympy/series/__pycache__/__init__.cpython-310.pyc +0 -0
  50. venv/lib/python3.10/site-packages/sympy/series/__pycache__/acceleration.cpython-310.pyc +0 -0
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1
+ """Helper module for setting up interactive SymPy sessions. """
2
+
3
+ from .printing import init_printing
4
+ from .session import init_session
5
+ from .traversal import interactive_traversal
6
+
7
+
8
+ __all__ = ['init_printing', 'init_session', 'interactive_traversal']
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1
+ """Tools for setting up printing in interactive sessions. """
2
+
3
+ from sympy.external.importtools import version_tuple
4
+ from io import BytesIO
5
+
6
+ from sympy.printing.latex import latex as default_latex
7
+ from sympy.printing.preview import preview
8
+ from sympy.utilities.misc import debug
9
+ from sympy.printing.defaults import Printable
10
+
11
+
12
+ def _init_python_printing(stringify_func, **settings):
13
+ """Setup printing in Python interactive session. """
14
+ import sys
15
+ import builtins
16
+
17
+ def _displayhook(arg):
18
+ """Python's pretty-printer display hook.
19
+
20
+ This function was adapted from:
21
+
22
+ https://www.python.org/dev/peps/pep-0217/
23
+
24
+ """
25
+ if arg is not None:
26
+ builtins._ = None
27
+ print(stringify_func(arg, **settings))
28
+ builtins._ = arg
29
+
30
+ sys.displayhook = _displayhook
31
+
32
+
33
+ def _init_ipython_printing(ip, stringify_func, use_latex, euler, forecolor,
34
+ backcolor, fontsize, latex_mode, print_builtin,
35
+ latex_printer, scale, **settings):
36
+ """Setup printing in IPython interactive session. """
37
+ try:
38
+ from IPython.lib.latextools import latex_to_png
39
+ except ImportError:
40
+ pass
41
+
42
+ # Guess best font color if none was given based on the ip.colors string.
43
+ # From the IPython documentation:
44
+ # It has four case-insensitive values: 'nocolor', 'neutral', 'linux',
45
+ # 'lightbg'. The default is neutral, which should be legible on either
46
+ # dark or light terminal backgrounds. linux is optimised for dark
47
+ # backgrounds and lightbg for light ones.
48
+ if forecolor is None:
49
+ color = ip.colors.lower()
50
+ if color == 'lightbg':
51
+ forecolor = 'Black'
52
+ elif color == 'linux':
53
+ forecolor = 'White'
54
+ else:
55
+ # No idea, go with gray.
56
+ forecolor = 'Gray'
57
+ debug("init_printing: Automatic foreground color:", forecolor)
58
+
59
+ if use_latex == "svg":
60
+ extra_preamble = "\n\\special{color %s}" % forecolor
61
+ else:
62
+ extra_preamble = ""
63
+
64
+ imagesize = 'tight'
65
+ offset = "0cm,0cm"
66
+ resolution = round(150*scale)
67
+ dvi = r"-T %s -D %d -bg %s -fg %s -O %s" % (
68
+ imagesize, resolution, backcolor, forecolor, offset)
69
+ dvioptions = dvi.split()
70
+
71
+ svg_scale = 150/72*scale
72
+ dvioptions_svg = ["--no-fonts", "--scale={}".format(svg_scale)]
73
+
74
+ debug("init_printing: DVIOPTIONS:", dvioptions)
75
+ debug("init_printing: DVIOPTIONS_SVG:", dvioptions_svg)
76
+
77
+ latex = latex_printer or default_latex
78
+
79
+ def _print_plain(arg, p, cycle):
80
+ """caller for pretty, for use in IPython 0.11"""
81
+ if _can_print(arg):
82
+ p.text(stringify_func(arg))
83
+ else:
84
+ p.text(IPython.lib.pretty.pretty(arg))
85
+
86
+ def _preview_wrapper(o):
87
+ exprbuffer = BytesIO()
88
+ try:
89
+ preview(o, output='png', viewer='BytesIO', euler=euler,
90
+ outputbuffer=exprbuffer, extra_preamble=extra_preamble,
91
+ dvioptions=dvioptions, fontsize=fontsize)
92
+ except Exception as e:
93
+ # IPython swallows exceptions
94
+ debug("png printing:", "_preview_wrapper exception raised:",
95
+ repr(e))
96
+ raise
97
+ return exprbuffer.getvalue()
98
+
99
+ def _svg_wrapper(o):
100
+ exprbuffer = BytesIO()
101
+ try:
102
+ preview(o, output='svg', viewer='BytesIO', euler=euler,
103
+ outputbuffer=exprbuffer, extra_preamble=extra_preamble,
104
+ dvioptions=dvioptions_svg, fontsize=fontsize)
105
+ except Exception as e:
106
+ # IPython swallows exceptions
107
+ debug("svg printing:", "_preview_wrapper exception raised:",
108
+ repr(e))
109
+ raise
110
+ return exprbuffer.getvalue().decode('utf-8')
111
+
112
+ def _matplotlib_wrapper(o):
113
+ # mathtext can't render some LaTeX commands. For example, it can't
114
+ # render any LaTeX environments such as array or matrix. So here we
115
+ # ensure that if mathtext fails to render, we return None.
116
+ try:
117
+ try:
118
+ return latex_to_png(o, color=forecolor, scale=scale)
119
+ except TypeError: # Old IPython version without color and scale
120
+ return latex_to_png(o)
121
+ except ValueError as e:
122
+ debug('matplotlib exception caught:', repr(e))
123
+ return None
124
+
125
+
126
+ # Hook methods for builtin SymPy printers
127
+ printing_hooks = ('_latex', '_sympystr', '_pretty', '_sympyrepr')
128
+
129
+
130
+ def _can_print(o):
131
+ """Return True if type o can be printed with one of the SymPy printers.
132
+
133
+ If o is a container type, this is True if and only if every element of
134
+ o can be printed in this way.
135
+ """
136
+
137
+ try:
138
+ # If you're adding another type, make sure you add it to printable_types
139
+ # later in this file as well
140
+
141
+ builtin_types = (list, tuple, set, frozenset)
142
+ if isinstance(o, builtin_types):
143
+ # If the object is a custom subclass with a custom str or
144
+ # repr, use that instead.
145
+ if (type(o).__str__ not in (i.__str__ for i in builtin_types) or
146
+ type(o).__repr__ not in (i.__repr__ for i in builtin_types)):
147
+ return False
148
+ return all(_can_print(i) for i in o)
149
+ elif isinstance(o, dict):
150
+ return all(_can_print(i) and _can_print(o[i]) for i in o)
151
+ elif isinstance(o, bool):
152
+ return False
153
+ elif isinstance(o, Printable):
154
+ # types known to SymPy
155
+ return True
156
+ elif any(hasattr(o, hook) for hook in printing_hooks):
157
+ # types which add support themselves
158
+ return True
159
+ elif isinstance(o, (float, int)) and print_builtin:
160
+ return True
161
+ return False
162
+ except RuntimeError:
163
+ return False
164
+ # This is in case maximum recursion depth is reached.
165
+ # Since RecursionError is for versions of Python 3.5+
166
+ # so this is to guard against RecursionError for older versions.
167
+
168
+ def _print_latex_png(o):
169
+ """
170
+ A function that returns a png rendered by an external latex
171
+ distribution, falling back to matplotlib rendering
172
+ """
173
+ if _can_print(o):
174
+ s = latex(o, mode=latex_mode, **settings)
175
+ if latex_mode == 'plain':
176
+ s = '$\\displaystyle %s$' % s
177
+ try:
178
+ return _preview_wrapper(s)
179
+ except RuntimeError as e:
180
+ debug('preview failed with:', repr(e),
181
+ ' Falling back to matplotlib backend')
182
+ if latex_mode != 'inline':
183
+ s = latex(o, mode='inline', **settings)
184
+ return _matplotlib_wrapper(s)
185
+
186
+ def _print_latex_svg(o):
187
+ """
188
+ A function that returns a svg rendered by an external latex
189
+ distribution, no fallback available.
190
+ """
191
+ if _can_print(o):
192
+ s = latex(o, mode=latex_mode, **settings)
193
+ if latex_mode == 'plain':
194
+ s = '$\\displaystyle %s$' % s
195
+ try:
196
+ return _svg_wrapper(s)
197
+ except RuntimeError as e:
198
+ debug('preview failed with:', repr(e),
199
+ ' No fallback available.')
200
+
201
+ def _print_latex_matplotlib(o):
202
+ """
203
+ A function that returns a png rendered by mathtext
204
+ """
205
+ if _can_print(o):
206
+ s = latex(o, mode='inline', **settings)
207
+ return _matplotlib_wrapper(s)
208
+
209
+ def _print_latex_text(o):
210
+ """
211
+ A function to generate the latex representation of SymPy expressions.
212
+ """
213
+ if _can_print(o):
214
+ s = latex(o, mode=latex_mode, **settings)
215
+ if latex_mode == 'plain':
216
+ return '$\\displaystyle %s$' % s
217
+ return s
218
+
219
+ def _result_display(self, arg):
220
+ """IPython's pretty-printer display hook, for use in IPython 0.10
221
+
222
+ This function was adapted from:
223
+
224
+ ipython/IPython/hooks.py:155
225
+
226
+ """
227
+ if self.rc.pprint:
228
+ out = stringify_func(arg)
229
+
230
+ if '\n' in out:
231
+ print()
232
+
233
+ print(out)
234
+ else:
235
+ print(repr(arg))
236
+
237
+ import IPython
238
+ if version_tuple(IPython.__version__) >= version_tuple('0.11'):
239
+
240
+ # Printable is our own type, so we handle it with methods instead of
241
+ # the approach required by builtin types. This allows downstream
242
+ # packages to override the methods in their own subclasses of Printable,
243
+ # which avoids the effects of gh-16002.
244
+ printable_types = [float, tuple, list, set, frozenset, dict, int]
245
+
246
+ plaintext_formatter = ip.display_formatter.formatters['text/plain']
247
+
248
+ # Exception to the rule above: IPython has better dispatching rules
249
+ # for plaintext printing (xref ipython/ipython#8938), and we can't
250
+ # use `_repr_pretty_` without hitting a recursion error in _print_plain.
251
+ for cls in printable_types + [Printable]:
252
+ plaintext_formatter.for_type(cls, _print_plain)
253
+
254
+ svg_formatter = ip.display_formatter.formatters['image/svg+xml']
255
+ if use_latex in ('svg', ):
256
+ debug("init_printing: using svg formatter")
257
+ for cls in printable_types:
258
+ svg_formatter.for_type(cls, _print_latex_svg)
259
+ Printable._repr_svg_ = _print_latex_svg
260
+ else:
261
+ debug("init_printing: not using any svg formatter")
262
+ for cls in printable_types:
263
+ # Better way to set this, but currently does not work in IPython
264
+ #png_formatter.for_type(cls, None)
265
+ if cls in svg_formatter.type_printers:
266
+ svg_formatter.type_printers.pop(cls)
267
+ Printable._repr_svg_ = Printable._repr_disabled
268
+
269
+ png_formatter = ip.display_formatter.formatters['image/png']
270
+ if use_latex in (True, 'png'):
271
+ debug("init_printing: using png formatter")
272
+ for cls in printable_types:
273
+ png_formatter.for_type(cls, _print_latex_png)
274
+ Printable._repr_png_ = _print_latex_png
275
+ elif use_latex == 'matplotlib':
276
+ debug("init_printing: using matplotlib formatter")
277
+ for cls in printable_types:
278
+ png_formatter.for_type(cls, _print_latex_matplotlib)
279
+ Printable._repr_png_ = _print_latex_matplotlib
280
+ else:
281
+ debug("init_printing: not using any png formatter")
282
+ for cls in printable_types:
283
+ # Better way to set this, but currently does not work in IPython
284
+ #png_formatter.for_type(cls, None)
285
+ if cls in png_formatter.type_printers:
286
+ png_formatter.type_printers.pop(cls)
287
+ Printable._repr_png_ = Printable._repr_disabled
288
+
289
+ latex_formatter = ip.display_formatter.formatters['text/latex']
290
+ if use_latex in (True, 'mathjax'):
291
+ debug("init_printing: using mathjax formatter")
292
+ for cls in printable_types:
293
+ latex_formatter.for_type(cls, _print_latex_text)
294
+ Printable._repr_latex_ = _print_latex_text
295
+ else:
296
+ debug("init_printing: not using text/latex formatter")
297
+ for cls in printable_types:
298
+ # Better way to set this, but currently does not work in IPython
299
+ #latex_formatter.for_type(cls, None)
300
+ if cls in latex_formatter.type_printers:
301
+ latex_formatter.type_printers.pop(cls)
302
+ Printable._repr_latex_ = Printable._repr_disabled
303
+
304
+ else:
305
+ ip.set_hook('result_display', _result_display)
306
+
307
+ def _is_ipython(shell):
308
+ """Is a shell instance an IPython shell?"""
309
+ # shortcut, so we don't import IPython if we don't have to
310
+ from sys import modules
311
+ if 'IPython' not in modules:
312
+ return False
313
+ try:
314
+ from IPython.core.interactiveshell import InteractiveShell
315
+ except ImportError:
316
+ # IPython < 0.11
317
+ try:
318
+ from IPython.iplib import InteractiveShell
319
+ except ImportError:
320
+ # Reaching this points means IPython has changed in a backward-incompatible way
321
+ # that we don't know about. Warn?
322
+ return False
323
+ return isinstance(shell, InteractiveShell)
324
+
325
+ # Used by the doctester to override the default for no_global
326
+ NO_GLOBAL = False
327
+
328
+ def init_printing(pretty_print=True, order=None, use_unicode=None,
329
+ use_latex=None, wrap_line=None, num_columns=None,
330
+ no_global=False, ip=None, euler=False, forecolor=None,
331
+ backcolor='Transparent', fontsize='10pt',
332
+ latex_mode='plain', print_builtin=True,
333
+ str_printer=None, pretty_printer=None,
334
+ latex_printer=None, scale=1.0, **settings):
335
+ r"""
336
+ Initializes pretty-printer depending on the environment.
337
+
338
+ Parameters
339
+ ==========
340
+
341
+ pretty_print : bool, default=True
342
+ If ``True``, use :func:`~.pretty_print` to stringify or the provided pretty
343
+ printer; if ``False``, use :func:`~.sstrrepr` to stringify or the provided string
344
+ printer.
345
+ order : string or None, default='lex'
346
+ There are a few different settings for this parameter:
347
+ ``'lex'`` (default), which is lexographic order;
348
+ ``'grlex'``, which is graded lexographic order;
349
+ ``'grevlex'``, which is reversed graded lexographic order;
350
+ ``'old'``, which is used for compatibility reasons and for long expressions;
351
+ ``None``, which sets it to lex.
352
+ use_unicode : bool or None, default=None
353
+ If ``True``, use unicode characters;
354
+ if ``False``, do not use unicode characters;
355
+ if ``None``, make a guess based on the environment.
356
+ use_latex : string, bool, or None, default=None
357
+ If ``True``, use default LaTeX rendering in GUI interfaces (png and
358
+ mathjax);
359
+ if ``False``, do not use LaTeX rendering;
360
+ if ``None``, make a guess based on the environment;
361
+ if ``'png'``, enable LaTeX rendering with an external LaTeX compiler,
362
+ falling back to matplotlib if external compilation fails;
363
+ if ``'matplotlib'``, enable LaTeX rendering with matplotlib;
364
+ if ``'mathjax'``, enable LaTeX text generation, for example MathJax
365
+ rendering in IPython notebook or text rendering in LaTeX documents;
366
+ if ``'svg'``, enable LaTeX rendering with an external latex compiler,
367
+ no fallback
368
+ wrap_line : bool
369
+ If True, lines will wrap at the end; if False, they will not wrap
370
+ but continue as one line. This is only relevant if ``pretty_print`` is
371
+ True.
372
+ num_columns : int or None, default=None
373
+ If ``int``, number of columns before wrapping is set to num_columns; if
374
+ ``None``, number of columns before wrapping is set to terminal width.
375
+ This is only relevant if ``pretty_print`` is ``True``.
376
+ no_global : bool, default=False
377
+ If ``True``, the settings become system wide;
378
+ if ``False``, use just for this console/session.
379
+ ip : An interactive console
380
+ This can either be an instance of IPython,
381
+ or a class that derives from code.InteractiveConsole.
382
+ euler : bool, optional, default=False
383
+ Loads the euler package in the LaTeX preamble for handwritten style
384
+ fonts (https://www.ctan.org/pkg/euler).
385
+ forecolor : string or None, optional, default=None
386
+ DVI setting for foreground color. ``None`` means that either ``'Black'``,
387
+ ``'White'``, or ``'Gray'`` will be selected based on a guess of the IPython
388
+ terminal color setting. See notes.
389
+ backcolor : string, optional, default='Transparent'
390
+ DVI setting for background color. See notes.
391
+ fontsize : string or int, optional, default='10pt'
392
+ A font size to pass to the LaTeX documentclass function in the
393
+ preamble. Note that the options are limited by the documentclass.
394
+ Consider using scale instead.
395
+ latex_mode : string, optional, default='plain'
396
+ The mode used in the LaTeX printer. Can be one of:
397
+ ``{'inline'|'plain'|'equation'|'equation*'}``.
398
+ print_builtin : boolean, optional, default=True
399
+ If ``True`` then floats and integers will be printed. If ``False`` the
400
+ printer will only print SymPy types.
401
+ str_printer : function, optional, default=None
402
+ A custom string printer function. This should mimic
403
+ :func:`~.sstrrepr()`.
404
+ pretty_printer : function, optional, default=None
405
+ A custom pretty printer. This should mimic :func:`~.pretty()`.
406
+ latex_printer : function, optional, default=None
407
+ A custom LaTeX printer. This should mimic :func:`~.latex()`.
408
+ scale : float, optional, default=1.0
409
+ Scale the LaTeX output when using the ``'png'`` or ``'svg'`` backends.
410
+ Useful for high dpi screens.
411
+ settings :
412
+ Any additional settings for the ``latex`` and ``pretty`` commands can
413
+ be used to fine-tune the output.
414
+
415
+ Examples
416
+ ========
417
+
418
+ >>> from sympy.interactive import init_printing
419
+ >>> from sympy import Symbol, sqrt
420
+ >>> from sympy.abc import x, y
421
+ >>> sqrt(5)
422
+ sqrt(5)
423
+ >>> init_printing(pretty_print=True) # doctest: +SKIP
424
+ >>> sqrt(5) # doctest: +SKIP
425
+ ___
426
+ \/ 5
427
+ >>> theta = Symbol('theta') # doctest: +SKIP
428
+ >>> init_printing(use_unicode=True) # doctest: +SKIP
429
+ >>> theta # doctest: +SKIP
430
+ \u03b8
431
+ >>> init_printing(use_unicode=False) # doctest: +SKIP
432
+ >>> theta # doctest: +SKIP
433
+ theta
434
+ >>> init_printing(order='lex') # doctest: +SKIP
435
+ >>> str(y + x + y**2 + x**2) # doctest: +SKIP
436
+ x**2 + x + y**2 + y
437
+ >>> init_printing(order='grlex') # doctest: +SKIP
438
+ >>> str(y + x + y**2 + x**2) # doctest: +SKIP
439
+ x**2 + x + y**2 + y
440
+ >>> init_printing(order='grevlex') # doctest: +SKIP
441
+ >>> str(y * x**2 + x * y**2) # doctest: +SKIP
442
+ x**2*y + x*y**2
443
+ >>> init_printing(order='old') # doctest: +SKIP
444
+ >>> str(x**2 + y**2 + x + y) # doctest: +SKIP
445
+ x**2 + x + y**2 + y
446
+ >>> init_printing(num_columns=10) # doctest: +SKIP
447
+ >>> x**2 + x + y**2 + y # doctest: +SKIP
448
+ x + y +
449
+ x**2 + y**2
450
+
451
+ Notes
452
+ =====
453
+
454
+ The foreground and background colors can be selected when using ``'png'`` or
455
+ ``'svg'`` LaTeX rendering. Note that before the ``init_printing`` command is
456
+ executed, the LaTeX rendering is handled by the IPython console and not SymPy.
457
+
458
+ The colors can be selected among the 68 standard colors known to ``dvips``,
459
+ for a list see [1]_. In addition, the background color can be
460
+ set to ``'Transparent'`` (which is the default value).
461
+
462
+ When using the ``'Auto'`` foreground color, the guess is based on the
463
+ ``colors`` variable in the IPython console, see [2]_. Hence, if
464
+ that variable is set correctly in your IPython console, there is a high
465
+ chance that the output will be readable, although manual settings may be
466
+ needed.
467
+
468
+
469
+ References
470
+ ==========
471
+
472
+ .. [1] https://en.wikibooks.org/wiki/LaTeX/Colors#The_68_standard_colors_known_to_dvips
473
+
474
+ .. [2] https://ipython.readthedocs.io/en/stable/config/details.html#terminal-colors
475
+
476
+ See Also
477
+ ========
478
+
479
+ sympy.printing.latex
480
+ sympy.printing.pretty
481
+
482
+ """
483
+ import sys
484
+ from sympy.printing.printer import Printer
485
+
486
+ if pretty_print:
487
+ if pretty_printer is not None:
488
+ stringify_func = pretty_printer
489
+ else:
490
+ from sympy.printing import pretty as stringify_func
491
+ else:
492
+ if str_printer is not None:
493
+ stringify_func = str_printer
494
+ else:
495
+ from sympy.printing import sstrrepr as stringify_func
496
+
497
+ # Even if ip is not passed, double check that not in IPython shell
498
+ in_ipython = False
499
+ if ip is None:
500
+ try:
501
+ ip = get_ipython()
502
+ except NameError:
503
+ pass
504
+ else:
505
+ in_ipython = (ip is not None)
506
+
507
+ if ip and not in_ipython:
508
+ in_ipython = _is_ipython(ip)
509
+
510
+ if in_ipython and pretty_print:
511
+ try:
512
+ import IPython
513
+ # IPython 1.0 deprecates the frontend module, so we import directly
514
+ # from the terminal module to prevent a deprecation message from being
515
+ # shown.
516
+ if version_tuple(IPython.__version__) >= version_tuple('1.0'):
517
+ from IPython.terminal.interactiveshell import TerminalInteractiveShell
518
+ else:
519
+ from IPython.frontend.terminal.interactiveshell import TerminalInteractiveShell
520
+ from code import InteractiveConsole
521
+ except ImportError:
522
+ pass
523
+ else:
524
+ # This will be True if we are in the qtconsole or notebook
525
+ if not isinstance(ip, (InteractiveConsole, TerminalInteractiveShell)) \
526
+ and 'ipython-console' not in ''.join(sys.argv):
527
+ if use_unicode is None:
528
+ debug("init_printing: Setting use_unicode to True")
529
+ use_unicode = True
530
+ if use_latex is None:
531
+ debug("init_printing: Setting use_latex to True")
532
+ use_latex = True
533
+
534
+ if not NO_GLOBAL and not no_global:
535
+ Printer.set_global_settings(order=order, use_unicode=use_unicode,
536
+ wrap_line=wrap_line, num_columns=num_columns)
537
+ else:
538
+ _stringify_func = stringify_func
539
+
540
+ if pretty_print:
541
+ stringify_func = lambda expr, **settings: \
542
+ _stringify_func(expr, order=order,
543
+ use_unicode=use_unicode,
544
+ wrap_line=wrap_line,
545
+ num_columns=num_columns,
546
+ **settings)
547
+ else:
548
+ stringify_func = \
549
+ lambda expr, **settings: _stringify_func(
550
+ expr, order=order, **settings)
551
+
552
+ if in_ipython:
553
+ mode_in_settings = settings.pop("mode", None)
554
+ if mode_in_settings:
555
+ debug("init_printing: Mode is not able to be set due to internals"
556
+ "of IPython printing")
557
+ _init_ipython_printing(ip, stringify_func, use_latex, euler,
558
+ forecolor, backcolor, fontsize, latex_mode,
559
+ print_builtin, latex_printer, scale,
560
+ **settings)
561
+ else:
562
+ _init_python_printing(stringify_func, **settings)
venv/lib/python3.10/site-packages/sympy/interactive/session.py ADDED
@@ -0,0 +1,463 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Tools for setting up interactive sessions. """
2
+
3
+ from sympy.external.gmpy import GROUND_TYPES
4
+ from sympy.external.importtools import version_tuple
5
+
6
+ from sympy.interactive.printing import init_printing
7
+
8
+ from sympy.utilities.misc import ARCH
9
+
10
+ preexec_source = """\
11
+ from sympy import *
12
+ x, y, z, t = symbols('x y z t')
13
+ k, m, n = symbols('k m n', integer=True)
14
+ f, g, h = symbols('f g h', cls=Function)
15
+ init_printing()
16
+ """
17
+
18
+ verbose_message = """\
19
+ These commands were executed:
20
+ %(source)s
21
+ Documentation can be found at https://docs.sympy.org/%(version)s
22
+ """
23
+
24
+ no_ipython = """\
25
+ Could not locate IPython. Having IPython installed is greatly recommended.
26
+ See http://ipython.scipy.org for more details. If you use Debian/Ubuntu,
27
+ just install the 'ipython' package and start isympy again.
28
+ """
29
+
30
+
31
+ def _make_message(ipython=True, quiet=False, source=None):
32
+ """Create a banner for an interactive session. """
33
+ from sympy import __version__ as sympy_version
34
+ from sympy import SYMPY_DEBUG
35
+
36
+ import sys
37
+ import os
38
+
39
+ if quiet:
40
+ return ""
41
+
42
+ python_version = "%d.%d.%d" % sys.version_info[:3]
43
+
44
+ if ipython:
45
+ shell_name = "IPython"
46
+ else:
47
+ shell_name = "Python"
48
+
49
+ info = ['ground types: %s' % GROUND_TYPES]
50
+
51
+ cache = os.getenv('SYMPY_USE_CACHE')
52
+
53
+ if cache is not None and cache.lower() == 'no':
54
+ info.append('cache: off')
55
+
56
+ if SYMPY_DEBUG:
57
+ info.append('debugging: on')
58
+
59
+ args = shell_name, sympy_version, python_version, ARCH, ', '.join(info)
60
+ message = "%s console for SymPy %s (Python %s-%s) (%s)\n" % args
61
+
62
+ if source is None:
63
+ source = preexec_source
64
+
65
+ _source = ""
66
+
67
+ for line in source.split('\n')[:-1]:
68
+ if not line:
69
+ _source += '\n'
70
+ else:
71
+ _source += '>>> ' + line + '\n'
72
+
73
+ doc_version = sympy_version
74
+ if 'dev' in doc_version:
75
+ doc_version = "dev"
76
+ else:
77
+ doc_version = "%s/" % doc_version
78
+
79
+ message += '\n' + verbose_message % {'source': _source,
80
+ 'version': doc_version}
81
+
82
+ return message
83
+
84
+
85
+ def int_to_Integer(s):
86
+ """
87
+ Wrap integer literals with Integer.
88
+
89
+ This is based on the decistmt example from
90
+ https://docs.python.org/3/library/tokenize.html.
91
+
92
+ Only integer literals are converted. Float literals are left alone.
93
+
94
+ Examples
95
+ ========
96
+
97
+ >>> from sympy import Integer # noqa: F401
98
+ >>> from sympy.interactive.session import int_to_Integer
99
+ >>> s = '1.2 + 1/2 - 0x12 + a1'
100
+ >>> int_to_Integer(s)
101
+ '1.2 +Integer (1 )/Integer (2 )-Integer (0x12 )+a1 '
102
+ >>> s = 'print (1/2)'
103
+ >>> int_to_Integer(s)
104
+ 'print (Integer (1 )/Integer (2 ))'
105
+ >>> exec(s)
106
+ 0.5
107
+ >>> exec(int_to_Integer(s))
108
+ 1/2
109
+ """
110
+ from tokenize import generate_tokens, untokenize, NUMBER, NAME, OP
111
+ from io import StringIO
112
+
113
+ def _is_int(num):
114
+ """
115
+ Returns true if string value num (with token NUMBER) represents an integer.
116
+ """
117
+ # XXX: Is there something in the standard library that will do this?
118
+ if '.' in num or 'j' in num.lower() or 'e' in num.lower():
119
+ return False
120
+ return True
121
+
122
+ result = []
123
+ g = generate_tokens(StringIO(s).readline) # tokenize the string
124
+ for toknum, tokval, _, _, _ in g:
125
+ if toknum == NUMBER and _is_int(tokval): # replace NUMBER tokens
126
+ result.extend([
127
+ (NAME, 'Integer'),
128
+ (OP, '('),
129
+ (NUMBER, tokval),
130
+ (OP, ')')
131
+ ])
132
+ else:
133
+ result.append((toknum, tokval))
134
+ return untokenize(result)
135
+
136
+
137
+ def enable_automatic_int_sympification(shell):
138
+ """
139
+ Allow IPython to automatically convert integer literals to Integer.
140
+ """
141
+ import ast
142
+ old_run_cell = shell.run_cell
143
+
144
+ def my_run_cell(cell, *args, **kwargs):
145
+ try:
146
+ # Check the cell for syntax errors. This way, the syntax error
147
+ # will show the original input, not the transformed input. The
148
+ # downside here is that IPython magic like %timeit will not work
149
+ # with transformed input (but on the other hand, IPython magic
150
+ # that doesn't expect transformed input will continue to work).
151
+ ast.parse(cell)
152
+ except SyntaxError:
153
+ pass
154
+ else:
155
+ cell = int_to_Integer(cell)
156
+ return old_run_cell(cell, *args, **kwargs)
157
+
158
+ shell.run_cell = my_run_cell
159
+
160
+
161
+ def enable_automatic_symbols(shell):
162
+ """Allow IPython to automatically create symbols (``isympy -a``). """
163
+ # XXX: This should perhaps use tokenize, like int_to_Integer() above.
164
+ # This would avoid re-executing the code, which can lead to subtle
165
+ # issues. For example:
166
+ #
167
+ # In [1]: a = 1
168
+ #
169
+ # In [2]: for i in range(10):
170
+ # ...: a += 1
171
+ # ...:
172
+ #
173
+ # In [3]: a
174
+ # Out[3]: 11
175
+ #
176
+ # In [4]: a = 1
177
+ #
178
+ # In [5]: for i in range(10):
179
+ # ...: a += 1
180
+ # ...: print b
181
+ # ...:
182
+ # b
183
+ # b
184
+ # b
185
+ # b
186
+ # b
187
+ # b
188
+ # b
189
+ # b
190
+ # b
191
+ # b
192
+ #
193
+ # In [6]: a
194
+ # Out[6]: 12
195
+ #
196
+ # Note how the for loop is executed again because `b` was not defined, but `a`
197
+ # was already incremented once, so the result is that it is incremented
198
+ # multiple times.
199
+
200
+ import re
201
+ re_nameerror = re.compile(
202
+ "name '(?P<symbol>[A-Za-z_][A-Za-z0-9_]*)' is not defined")
203
+
204
+ def _handler(self, etype, value, tb, tb_offset=None):
205
+ """Handle :exc:`NameError` exception and allow injection of missing symbols. """
206
+ if etype is NameError and tb.tb_next and not tb.tb_next.tb_next:
207
+ match = re_nameerror.match(str(value))
208
+
209
+ if match is not None:
210
+ # XXX: Make sure Symbol is in scope. Otherwise you'll get infinite recursion.
211
+ self.run_cell("%(symbol)s = Symbol('%(symbol)s')" %
212
+ {'symbol': match.group("symbol")}, store_history=False)
213
+
214
+ try:
215
+ code = self.user_ns['In'][-1]
216
+ except (KeyError, IndexError):
217
+ pass
218
+ else:
219
+ self.run_cell(code, store_history=False)
220
+ return None
221
+ finally:
222
+ self.run_cell("del %s" % match.group("symbol"),
223
+ store_history=False)
224
+
225
+ stb = self.InteractiveTB.structured_traceback(
226
+ etype, value, tb, tb_offset=tb_offset)
227
+ self._showtraceback(etype, value, stb)
228
+
229
+ shell.set_custom_exc((NameError,), _handler)
230
+
231
+
232
+ def init_ipython_session(shell=None, argv=[], auto_symbols=False, auto_int_to_Integer=False):
233
+ """Construct new IPython session. """
234
+ import IPython
235
+
236
+ if version_tuple(IPython.__version__) >= version_tuple('0.11'):
237
+ if not shell:
238
+ # use an app to parse the command line, and init config
239
+ # IPython 1.0 deprecates the frontend module, so we import directly
240
+ # from the terminal module to prevent a deprecation message from being
241
+ # shown.
242
+ if version_tuple(IPython.__version__) >= version_tuple('1.0'):
243
+ from IPython.terminal import ipapp
244
+ else:
245
+ from IPython.frontend.terminal import ipapp
246
+ app = ipapp.TerminalIPythonApp()
247
+
248
+ # don't draw IPython banner during initialization:
249
+ app.display_banner = False
250
+ app.initialize(argv)
251
+
252
+ shell = app.shell
253
+
254
+ if auto_symbols:
255
+ enable_automatic_symbols(shell)
256
+ if auto_int_to_Integer:
257
+ enable_automatic_int_sympification(shell)
258
+
259
+ return shell
260
+ else:
261
+ from IPython.Shell import make_IPython
262
+ return make_IPython(argv)
263
+
264
+
265
+ def init_python_session():
266
+ """Construct new Python session. """
267
+ from code import InteractiveConsole
268
+
269
+ class SymPyConsole(InteractiveConsole):
270
+ """An interactive console with readline support. """
271
+
272
+ def __init__(self):
273
+ ns_locals = {}
274
+ InteractiveConsole.__init__(self, locals=ns_locals)
275
+ try:
276
+ import rlcompleter
277
+ import readline
278
+ except ImportError:
279
+ pass
280
+ else:
281
+ import os
282
+ import atexit
283
+
284
+ readline.set_completer(rlcompleter.Completer(ns_locals).complete)
285
+ readline.parse_and_bind('tab: complete')
286
+
287
+ if hasattr(readline, 'read_history_file'):
288
+ history = os.path.expanduser('~/.sympy-history')
289
+
290
+ try:
291
+ readline.read_history_file(history)
292
+ except OSError:
293
+ pass
294
+
295
+ atexit.register(readline.write_history_file, history)
296
+
297
+ return SymPyConsole()
298
+
299
+
300
+ def init_session(ipython=None, pretty_print=True, order=None,
301
+ use_unicode=None, use_latex=None, quiet=False, auto_symbols=False,
302
+ auto_int_to_Integer=False, str_printer=None, pretty_printer=None,
303
+ latex_printer=None, argv=[]):
304
+ """
305
+ Initialize an embedded IPython or Python session. The IPython session is
306
+ initiated with the --pylab option, without the numpy imports, so that
307
+ matplotlib plotting can be interactive.
308
+
309
+ Parameters
310
+ ==========
311
+
312
+ pretty_print: boolean
313
+ If True, use pretty_print to stringify;
314
+ if False, use sstrrepr to stringify.
315
+ order: string or None
316
+ There are a few different settings for this parameter:
317
+ lex (default), which is lexographic order;
318
+ grlex, which is graded lexographic order;
319
+ grevlex, which is reversed graded lexographic order;
320
+ old, which is used for compatibility reasons and for long expressions;
321
+ None, which sets it to lex.
322
+ use_unicode: boolean or None
323
+ If True, use unicode characters;
324
+ if False, do not use unicode characters.
325
+ use_latex: boolean or None
326
+ If True, use latex rendering if IPython GUI's;
327
+ if False, do not use latex rendering.
328
+ quiet: boolean
329
+ If True, init_session will not print messages regarding its status;
330
+ if False, init_session will print messages regarding its status.
331
+ auto_symbols: boolean
332
+ If True, IPython will automatically create symbols for you.
333
+ If False, it will not.
334
+ The default is False.
335
+ auto_int_to_Integer: boolean
336
+ If True, IPython will automatically wrap int literals with Integer, so
337
+ that things like 1/2 give Rational(1, 2).
338
+ If False, it will not.
339
+ The default is False.
340
+ ipython: boolean or None
341
+ If True, printing will initialize for an IPython console;
342
+ if False, printing will initialize for a normal console;
343
+ The default is None, which automatically determines whether we are in
344
+ an ipython instance or not.
345
+ str_printer: function, optional, default=None
346
+ A custom string printer function. This should mimic
347
+ sympy.printing.sstrrepr().
348
+ pretty_printer: function, optional, default=None
349
+ A custom pretty printer. This should mimic sympy.printing.pretty().
350
+ latex_printer: function, optional, default=None
351
+ A custom LaTeX printer. This should mimic sympy.printing.latex()
352
+ This should mimic sympy.printing.latex().
353
+ argv: list of arguments for IPython
354
+ See sympy.bin.isympy for options that can be used to initialize IPython.
355
+
356
+ See Also
357
+ ========
358
+
359
+ sympy.interactive.printing.init_printing: for examples and the rest of the parameters.
360
+
361
+
362
+ Examples
363
+ ========
364
+
365
+ >>> from sympy import init_session, Symbol, sin, sqrt
366
+ >>> sin(x) #doctest: +SKIP
367
+ NameError: name 'x' is not defined
368
+ >>> init_session() #doctest: +SKIP
369
+ >>> sin(x) #doctest: +SKIP
370
+ sin(x)
371
+ >>> sqrt(5) #doctest: +SKIP
372
+ ___
373
+ \\/ 5
374
+ >>> init_session(pretty_print=False) #doctest: +SKIP
375
+ >>> sqrt(5) #doctest: +SKIP
376
+ sqrt(5)
377
+ >>> y + x + y**2 + x**2 #doctest: +SKIP
378
+ x**2 + x + y**2 + y
379
+ >>> init_session(order='grlex') #doctest: +SKIP
380
+ >>> y + x + y**2 + x**2 #doctest: +SKIP
381
+ x**2 + y**2 + x + y
382
+ >>> init_session(order='grevlex') #doctest: +SKIP
383
+ >>> y * x**2 + x * y**2 #doctest: +SKIP
384
+ x**2*y + x*y**2
385
+ >>> init_session(order='old') #doctest: +SKIP
386
+ >>> x**2 + y**2 + x + y #doctest: +SKIP
387
+ x + y + x**2 + y**2
388
+ >>> theta = Symbol('theta') #doctest: +SKIP
389
+ >>> theta #doctest: +SKIP
390
+ theta
391
+ >>> init_session(use_unicode=True) #doctest: +SKIP
392
+ >>> theta # doctest: +SKIP
393
+ \u03b8
394
+ """
395
+ import sys
396
+
397
+ in_ipython = False
398
+
399
+ if ipython is not False:
400
+ try:
401
+ import IPython
402
+ except ImportError:
403
+ if ipython is True:
404
+ raise RuntimeError("IPython is not available on this system")
405
+ ip = None
406
+ else:
407
+ try:
408
+ from IPython import get_ipython
409
+ ip = get_ipython()
410
+ except ImportError:
411
+ ip = None
412
+ in_ipython = bool(ip)
413
+ if ipython is None:
414
+ ipython = in_ipython
415
+
416
+ if ipython is False:
417
+ ip = init_python_session()
418
+ mainloop = ip.interact
419
+ else:
420
+ ip = init_ipython_session(ip, argv=argv, auto_symbols=auto_symbols,
421
+ auto_int_to_Integer=auto_int_to_Integer)
422
+
423
+ if version_tuple(IPython.__version__) >= version_tuple('0.11'):
424
+ # runsource is gone, use run_cell instead, which doesn't
425
+ # take a symbol arg. The second arg is `store_history`,
426
+ # and False means don't add the line to IPython's history.
427
+ ip.runsource = lambda src, symbol='exec': ip.run_cell(src, False)
428
+
429
+ # Enable interactive plotting using pylab.
430
+ try:
431
+ ip.enable_pylab(import_all=False)
432
+ except Exception:
433
+ # Causes an import error if matplotlib is not installed.
434
+ # Causes other errors (depending on the backend) if there
435
+ # is no display, or if there is some problem in the
436
+ # backend, so we have a bare "except Exception" here
437
+ pass
438
+ if not in_ipython:
439
+ mainloop = ip.mainloop
440
+
441
+ if auto_symbols and (not ipython or version_tuple(IPython.__version__) < version_tuple('0.11')):
442
+ raise RuntimeError("automatic construction of symbols is possible only in IPython 0.11 or above")
443
+ if auto_int_to_Integer and (not ipython or version_tuple(IPython.__version__) < version_tuple('0.11')):
444
+ raise RuntimeError("automatic int to Integer transformation is possible only in IPython 0.11 or above")
445
+
446
+ _preexec_source = preexec_source
447
+
448
+ ip.runsource(_preexec_source, symbol='exec')
449
+ init_printing(pretty_print=pretty_print, order=order,
450
+ use_unicode=use_unicode, use_latex=use_latex, ip=ip,
451
+ str_printer=str_printer, pretty_printer=pretty_printer,
452
+ latex_printer=latex_printer)
453
+
454
+ message = _make_message(ipython, quiet, _preexec_source)
455
+
456
+ if not in_ipython:
457
+ print(message)
458
+ mainloop()
459
+ sys.exit('Exiting ...')
460
+ else:
461
+ print(message)
462
+ import atexit
463
+ atexit.register(lambda: print("Exiting ...\n"))
venv/lib/python3.10/site-packages/sympy/interactive/tests/__init__.py ADDED
File without changes
venv/lib/python3.10/site-packages/sympy/interactive/tests/__pycache__/__init__.cpython-310.pyc ADDED
Binary file (191 Bytes). View file
 
venv/lib/python3.10/site-packages/sympy/interactive/tests/__pycache__/test_interactive.cpython-310.pyc ADDED
Binary file (700 Bytes). View file
 
venv/lib/python3.10/site-packages/sympy/interactive/tests/__pycache__/test_ipython.cpython-310.pyc ADDED
Binary file (6.66 kB). View file
 
venv/lib/python3.10/site-packages/sympy/interactive/tests/test_interactive.py ADDED
@@ -0,0 +1,10 @@
 
 
 
 
 
 
 
 
 
 
 
1
+ from sympy.interactive.session import int_to_Integer
2
+
3
+
4
+ def test_int_to_Integer():
5
+ assert int_to_Integer("1 + 2.2 + 0x3 + 40") == \
6
+ 'Integer (1 )+2.2 +Integer (0x3 )+Integer (40 )'
7
+ assert int_to_Integer("0b101") == 'Integer (0b101 )'
8
+ assert int_to_Integer("ab1 + 1 + '1 + 2'") == "ab1 +Integer (1 )+'1 + 2'"
9
+ assert int_to_Integer("(2 + \n3)") == '(Integer (2 )+\nInteger (3 ))'
10
+ assert int_to_Integer("2 + 2.0 + 2j + 2e-10") == 'Integer (2 )+2.0 +2j +2e-10 '
venv/lib/python3.10/site-packages/sympy/interactive/tests/test_ipython.py ADDED
@@ -0,0 +1,278 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Tests of tools for setting up interactive IPython sessions. """
2
+
3
+ from sympy.interactive.session import (init_ipython_session,
4
+ enable_automatic_symbols, enable_automatic_int_sympification)
5
+
6
+ from sympy.core import Symbol, Rational, Integer
7
+ from sympy.external import import_module
8
+ from sympy.testing.pytest import raises
9
+
10
+ # TODO: The code below could be made more granular with something like:
11
+ #
12
+ # @requires('IPython', version=">=0.11")
13
+ # def test_automatic_symbols(ipython):
14
+
15
+ ipython = import_module("IPython", min_module_version="0.11")
16
+
17
+ if not ipython:
18
+ #bin/test will not execute any tests now
19
+ disabled = True
20
+
21
+ # WARNING: These tests will modify the existing IPython environment. IPython
22
+ # uses a single instance for its interpreter, so there is no way to isolate
23
+ # the test from another IPython session. It also means that if this test is
24
+ # run twice in the same Python session it will fail. This isn't usually a
25
+ # problem because the test suite is run in a subprocess by default, but if the
26
+ # tests are run with subprocess=False it can pollute the current IPython
27
+ # session. See the discussion in issue #15149.
28
+
29
+ def test_automatic_symbols():
30
+ # NOTE: Because of the way the hook works, you have to use run_cell(code,
31
+ # True). This means that the code must have no Out, or it will be printed
32
+ # during the tests.
33
+ app = init_ipython_session()
34
+ app.run_cell("from sympy import *")
35
+
36
+ enable_automatic_symbols(app)
37
+
38
+ symbol = "verylongsymbolname"
39
+ assert symbol not in app.user_ns
40
+ app.run_cell("a = %s" % symbol, True)
41
+ assert symbol not in app.user_ns
42
+ app.run_cell("a = type(%s)" % symbol, True)
43
+ assert app.user_ns['a'] == Symbol
44
+ app.run_cell("%s = Symbol('%s')" % (symbol, symbol), True)
45
+ assert symbol in app.user_ns
46
+
47
+ # Check that built-in names aren't overridden
48
+ app.run_cell("a = all == __builtin__.all", True)
49
+ assert "all" not in app.user_ns
50
+ assert app.user_ns['a'] is True
51
+
52
+ # Check that SymPy names aren't overridden
53
+ app.run_cell("import sympy")
54
+ app.run_cell("a = factorial == sympy.factorial", True)
55
+ assert app.user_ns['a'] is True
56
+
57
+
58
+ def test_int_to_Integer():
59
+ # XXX: Warning, don't test with == here. 0.5 == Rational(1, 2) is True!
60
+ app = init_ipython_session()
61
+ app.run_cell("from sympy import Integer")
62
+ app.run_cell("a = 1")
63
+ assert isinstance(app.user_ns['a'], int)
64
+
65
+ enable_automatic_int_sympification(app)
66
+ app.run_cell("a = 1/2")
67
+ assert isinstance(app.user_ns['a'], Rational)
68
+ app.run_cell("a = 1")
69
+ assert isinstance(app.user_ns['a'], Integer)
70
+ app.run_cell("a = int(1)")
71
+ assert isinstance(app.user_ns['a'], int)
72
+ app.run_cell("a = (1/\n2)")
73
+ assert app.user_ns['a'] == Rational(1, 2)
74
+ # TODO: How can we test that the output of a SyntaxError is the original
75
+ # input, not the transformed input?
76
+
77
+
78
+ def test_ipythonprinting():
79
+ # Initialize and setup IPython session
80
+ app = init_ipython_session()
81
+ app.run_cell("ip = get_ipython()")
82
+ app.run_cell("inst = ip.instance()")
83
+ app.run_cell("format = inst.display_formatter.format")
84
+ app.run_cell("from sympy import Symbol")
85
+
86
+ # Printing without printing extension
87
+ app.run_cell("a = format(Symbol('pi'))")
88
+ app.run_cell("a2 = format(Symbol('pi')**2)")
89
+ # Deal with API change starting at IPython 1.0
90
+ if int(ipython.__version__.split(".")[0]) < 1:
91
+ assert app.user_ns['a']['text/plain'] == "pi"
92
+ assert app.user_ns['a2']['text/plain'] == "pi**2"
93
+ else:
94
+ assert app.user_ns['a'][0]['text/plain'] == "pi"
95
+ assert app.user_ns['a2'][0]['text/plain'] == "pi**2"
96
+
97
+ # Load printing extension
98
+ app.run_cell("from sympy import init_printing")
99
+ app.run_cell("init_printing()")
100
+ # Printing with printing extension
101
+ app.run_cell("a = format(Symbol('pi'))")
102
+ app.run_cell("a2 = format(Symbol('pi')**2)")
103
+ # Deal with API change starting at IPython 1.0
104
+ if int(ipython.__version__.split(".")[0]) < 1:
105
+ assert app.user_ns['a']['text/plain'] in ('\N{GREEK SMALL LETTER PI}', 'pi')
106
+ assert app.user_ns['a2']['text/plain'] in (' 2\n\N{GREEK SMALL LETTER PI} ', ' 2\npi ')
107
+ else:
108
+ assert app.user_ns['a'][0]['text/plain'] in ('\N{GREEK SMALL LETTER PI}', 'pi')
109
+ assert app.user_ns['a2'][0]['text/plain'] in (' 2\n\N{GREEK SMALL LETTER PI} ', ' 2\npi ')
110
+
111
+
112
+ def test_print_builtin_option():
113
+ # Initialize and setup IPython session
114
+ app = init_ipython_session()
115
+ app.run_cell("ip = get_ipython()")
116
+ app.run_cell("inst = ip.instance()")
117
+ app.run_cell("format = inst.display_formatter.format")
118
+ app.run_cell("from sympy import Symbol")
119
+ app.run_cell("from sympy import init_printing")
120
+
121
+ app.run_cell("a = format({Symbol('pi'): 3.14, Symbol('n_i'): 3})")
122
+ # Deal with API change starting at IPython 1.0
123
+ if int(ipython.__version__.split(".")[0]) < 1:
124
+ text = app.user_ns['a']['text/plain']
125
+ raises(KeyError, lambda: app.user_ns['a']['text/latex'])
126
+ else:
127
+ text = app.user_ns['a'][0]['text/plain']
128
+ raises(KeyError, lambda: app.user_ns['a'][0]['text/latex'])
129
+ # XXX: How can we make this ignore the terminal width? This test fails if
130
+ # the terminal is too narrow.
131
+ assert text in ("{pi: 3.14, n_i: 3}",
132
+ '{n\N{LATIN SUBSCRIPT SMALL LETTER I}: 3, \N{GREEK SMALL LETTER PI}: 3.14}',
133
+ "{n_i: 3, pi: 3.14}",
134
+ '{\N{GREEK SMALL LETTER PI}: 3.14, n\N{LATIN SUBSCRIPT SMALL LETTER I}: 3}')
135
+
136
+ # If we enable the default printing, then the dictionary's should render
137
+ # as a LaTeX version of the whole dict: ${\pi: 3.14, n_i: 3}$
138
+ app.run_cell("inst.display_formatter.formatters['text/latex'].enabled = True")
139
+ app.run_cell("init_printing(use_latex=True)")
140
+ app.run_cell("a = format({Symbol('pi'): 3.14, Symbol('n_i'): 3})")
141
+ # Deal with API change starting at IPython 1.0
142
+ if int(ipython.__version__.split(".")[0]) < 1:
143
+ text = app.user_ns['a']['text/plain']
144
+ latex = app.user_ns['a']['text/latex']
145
+ else:
146
+ text = app.user_ns['a'][0]['text/plain']
147
+ latex = app.user_ns['a'][0]['text/latex']
148
+ assert text in ("{pi: 3.14, n_i: 3}",
149
+ '{n\N{LATIN SUBSCRIPT SMALL LETTER I}: 3, \N{GREEK SMALL LETTER PI}: 3.14}',
150
+ "{n_i: 3, pi: 3.14}",
151
+ '{\N{GREEK SMALL LETTER PI}: 3.14, n\N{LATIN SUBSCRIPT SMALL LETTER I}: 3}')
152
+ assert latex == r'$\displaystyle \left\{ n_{i} : 3, \ \pi : 3.14\right\}$'
153
+
154
+ # Objects with an _latex overload should also be handled by our tuple
155
+ # printer.
156
+ app.run_cell("""\
157
+ class WithOverload:
158
+ def _latex(self, printer):
159
+ return r"\\LaTeX"
160
+ """)
161
+ app.run_cell("a = format((WithOverload(),))")
162
+ # Deal with API change starting at IPython 1.0
163
+ if int(ipython.__version__.split(".")[0]) < 1:
164
+ latex = app.user_ns['a']['text/latex']
165
+ else:
166
+ latex = app.user_ns['a'][0]['text/latex']
167
+ assert latex == r'$\displaystyle \left( \LaTeX,\right)$'
168
+
169
+ app.run_cell("inst.display_formatter.formatters['text/latex'].enabled = True")
170
+ app.run_cell("init_printing(use_latex=True, print_builtin=False)")
171
+ app.run_cell("a = format({Symbol('pi'): 3.14, Symbol('n_i'): 3})")
172
+ # Deal with API change starting at IPython 1.0
173
+ if int(ipython.__version__.split(".")[0]) < 1:
174
+ text = app.user_ns['a']['text/plain']
175
+ raises(KeyError, lambda: app.user_ns['a']['text/latex'])
176
+ else:
177
+ text = app.user_ns['a'][0]['text/plain']
178
+ raises(KeyError, lambda: app.user_ns['a'][0]['text/latex'])
179
+ # Note : In Python 3 we have one text type: str which holds Unicode data
180
+ # and two byte types bytes and bytearray.
181
+ # Python 3.3.3 + IPython 0.13.2 gives: '{n_i: 3, pi: 3.14}'
182
+ # Python 3.3.3 + IPython 1.1.0 gives: '{n_i: 3, pi: 3.14}'
183
+ assert text in ("{pi: 3.14, n_i: 3}", "{n_i: 3, pi: 3.14}")
184
+
185
+
186
+ def test_builtin_containers():
187
+ # Initialize and setup IPython session
188
+ app = init_ipython_session()
189
+ app.run_cell("ip = get_ipython()")
190
+ app.run_cell("inst = ip.instance()")
191
+ app.run_cell("format = inst.display_formatter.format")
192
+ app.run_cell("inst.display_formatter.formatters['text/latex'].enabled = True")
193
+ app.run_cell("from sympy import init_printing, Matrix")
194
+ app.run_cell('init_printing(use_latex=True, use_unicode=False)')
195
+
196
+ # Make sure containers that shouldn't pretty print don't.
197
+ app.run_cell('a = format((True, False))')
198
+ app.run_cell('import sys')
199
+ app.run_cell('b = format(sys.flags)')
200
+ app.run_cell('c = format((Matrix([1, 2]),))')
201
+ # Deal with API change starting at IPython 1.0
202
+ if int(ipython.__version__.split(".")[0]) < 1:
203
+ assert app.user_ns['a']['text/plain'] == '(True, False)'
204
+ assert 'text/latex' not in app.user_ns['a']
205
+ assert app.user_ns['b']['text/plain'][:10] == 'sys.flags('
206
+ assert 'text/latex' not in app.user_ns['b']
207
+ assert app.user_ns['c']['text/plain'] == \
208
+ """\
209
+ [1] \n\
210
+ ([ ],)
211
+ [2] \
212
+ """
213
+ assert app.user_ns['c']['text/latex'] == '$\\displaystyle \\left( \\left[\\begin{matrix}1\\\\2\\end{matrix}\\right],\\right)$'
214
+ else:
215
+ assert app.user_ns['a'][0]['text/plain'] == '(True, False)'
216
+ assert 'text/latex' not in app.user_ns['a'][0]
217
+ assert app.user_ns['b'][0]['text/plain'][:10] == 'sys.flags('
218
+ assert 'text/latex' not in app.user_ns['b'][0]
219
+ assert app.user_ns['c'][0]['text/plain'] == \
220
+ """\
221
+ [1] \n\
222
+ ([ ],)
223
+ [2] \
224
+ """
225
+ assert app.user_ns['c'][0]['text/latex'] == '$\\displaystyle \\left( \\left[\\begin{matrix}1\\\\2\\end{matrix}\\right],\\right)$'
226
+
227
+ def test_matplotlib_bad_latex():
228
+ # Initialize and setup IPython session
229
+ app = init_ipython_session()
230
+ app.run_cell("import IPython")
231
+ app.run_cell("ip = get_ipython()")
232
+ app.run_cell("inst = ip.instance()")
233
+ app.run_cell("format = inst.display_formatter.format")
234
+ app.run_cell("from sympy import init_printing, Matrix")
235
+ app.run_cell("init_printing(use_latex='matplotlib')")
236
+
237
+ # The png formatter is not enabled by default in this context
238
+ app.run_cell("inst.display_formatter.formatters['image/png'].enabled = True")
239
+
240
+ # Make sure no warnings are raised by IPython
241
+ app.run_cell("import warnings")
242
+ # IPython.core.formatters.FormatterWarning was introduced in IPython 2.0
243
+ if int(ipython.__version__.split(".")[0]) < 2:
244
+ app.run_cell("warnings.simplefilter('error')")
245
+ else:
246
+ app.run_cell("warnings.simplefilter('error', IPython.core.formatters.FormatterWarning)")
247
+
248
+ # This should not raise an exception
249
+ app.run_cell("a = format(Matrix([1, 2, 3]))")
250
+
251
+ # issue 9799
252
+ app.run_cell("from sympy import Piecewise, Symbol, Eq")
253
+ app.run_cell("x = Symbol('x'); pw = format(Piecewise((1, Eq(x, 0)), (0, True)))")
254
+
255
+
256
+ def test_override_repr_latex():
257
+ # Initialize and setup IPython session
258
+ app = init_ipython_session()
259
+ app.run_cell("import IPython")
260
+ app.run_cell("ip = get_ipython()")
261
+ app.run_cell("inst = ip.instance()")
262
+ app.run_cell("format = inst.display_formatter.format")
263
+ app.run_cell("inst.display_formatter.formatters['text/latex'].enabled = True")
264
+ app.run_cell("from sympy import init_printing")
265
+ app.run_cell("from sympy import Symbol")
266
+ app.run_cell("init_printing(use_latex=True)")
267
+ app.run_cell("""\
268
+ class SymbolWithOverload(Symbol):
269
+ def _repr_latex_(self):
270
+ return r"Hello " + super()._repr_latex_() + " world"
271
+ """)
272
+ app.run_cell("a = format(SymbolWithOverload('s'))")
273
+
274
+ if int(ipython.__version__.split(".")[0]) < 1:
275
+ latex = app.user_ns['a']['text/latex']
276
+ else:
277
+ latex = app.user_ns['a'][0]['text/latex']
278
+ assert latex == r'Hello $\displaystyle s$ world'
venv/lib/python3.10/site-packages/sympy/interactive/traversal.py ADDED
@@ -0,0 +1,95 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ from sympy.core.basic import Basic
2
+ from sympy.printing import pprint
3
+
4
+ import random
5
+
6
+ def interactive_traversal(expr):
7
+ """Traverse a tree asking a user which branch to choose. """
8
+
9
+ RED, BRED = '\033[0;31m', '\033[1;31m'
10
+ GREEN, BGREEN = '\033[0;32m', '\033[1;32m'
11
+ YELLOW, BYELLOW = '\033[0;33m', '\033[1;33m' # noqa
12
+ BLUE, BBLUE = '\033[0;34m', '\033[1;34m' # noqa
13
+ MAGENTA, BMAGENTA = '\033[0;35m', '\033[1;35m'# noqa
14
+ CYAN, BCYAN = '\033[0;36m', '\033[1;36m' # noqa
15
+ END = '\033[0m'
16
+
17
+ def cprint(*args):
18
+ print("".join(map(str, args)) + END)
19
+
20
+ def _interactive_traversal(expr, stage):
21
+ if stage > 0:
22
+ print()
23
+
24
+ cprint("Current expression (stage ", BYELLOW, stage, END, "):")
25
+ print(BCYAN)
26
+ pprint(expr)
27
+ print(END)
28
+
29
+ if isinstance(expr, Basic):
30
+ if expr.is_Add:
31
+ args = expr.as_ordered_terms()
32
+ elif expr.is_Mul:
33
+ args = expr.as_ordered_factors()
34
+ else:
35
+ args = expr.args
36
+ elif hasattr(expr, "__iter__"):
37
+ args = list(expr)
38
+ else:
39
+ return expr
40
+
41
+ n_args = len(args)
42
+
43
+ if not n_args:
44
+ return expr
45
+
46
+ for i, arg in enumerate(args):
47
+ cprint(GREEN, "[", BGREEN, i, GREEN, "] ", BLUE, type(arg), END)
48
+ pprint(arg)
49
+ print()
50
+
51
+ if n_args == 1:
52
+ choices = '0'
53
+ else:
54
+ choices = '0-%d' % (n_args - 1)
55
+
56
+ try:
57
+ choice = input("Your choice [%s,f,l,r,d,?]: " % choices)
58
+ except EOFError:
59
+ result = expr
60
+ print()
61
+ else:
62
+ if choice == '?':
63
+ cprint(RED, "%s - select subexpression with the given index" %
64
+ choices)
65
+ cprint(RED, "f - select the first subexpression")
66
+ cprint(RED, "l - select the last subexpression")
67
+ cprint(RED, "r - select a random subexpression")
68
+ cprint(RED, "d - done\n")
69
+
70
+ result = _interactive_traversal(expr, stage)
71
+ elif choice in ('d', ''):
72
+ result = expr
73
+ elif choice == 'f':
74
+ result = _interactive_traversal(args[0], stage + 1)
75
+ elif choice == 'l':
76
+ result = _interactive_traversal(args[-1], stage + 1)
77
+ elif choice == 'r':
78
+ result = _interactive_traversal(random.choice(args), stage + 1)
79
+ else:
80
+ try:
81
+ choice = int(choice)
82
+ except ValueError:
83
+ cprint(BRED,
84
+ "Choice must be a number in %s range\n" % choices)
85
+ result = _interactive_traversal(expr, stage)
86
+ else:
87
+ if choice < 0 or choice >= n_args:
88
+ cprint(BRED, "Choice must be in %s range\n" % choices)
89
+ result = _interactive_traversal(expr, stage)
90
+ else:
91
+ result = _interactive_traversal(args[choice], stage + 1)
92
+
93
+ return result
94
+
95
+ return _interactive_traversal(expr, 0)
venv/lib/python3.10/site-packages/sympy/sandbox/__init__.py ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ """
2
+ Sandbox module of SymPy.
3
+
4
+ This module contains experimental code, use at your own risk!
5
+
6
+ There is no warranty that this code will still be located here in future
7
+ versions of SymPy.
8
+ """
venv/lib/python3.10/site-packages/sympy/sandbox/__pycache__/__init__.cpython-310.pyc ADDED
Binary file (375 Bytes). View file
 
venv/lib/python3.10/site-packages/sympy/sandbox/__pycache__/indexed_integrals.cpython-310.pyc ADDED
Binary file (2.57 kB). View file
 
venv/lib/python3.10/site-packages/sympy/sandbox/indexed_integrals.py ADDED
@@ -0,0 +1,72 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ from sympy.tensor import Indexed
2
+ from sympy.core.containers import Tuple
3
+ from sympy.core.symbol import Dummy
4
+ from sympy.core.sympify import sympify
5
+ from sympy.integrals.integrals import Integral
6
+
7
+
8
+ class IndexedIntegral(Integral):
9
+ """
10
+ Experimental class to test integration by indexed variables.
11
+
12
+ Usage is analogue to ``Integral``, it simply adds awareness of
13
+ integration over indices.
14
+
15
+ Contraction of non-identical index symbols referring to the same
16
+ ``IndexedBase`` is not yet supported.
17
+
18
+ Examples
19
+ ========
20
+
21
+ >>> from sympy.sandbox.indexed_integrals import IndexedIntegral
22
+ >>> from sympy import IndexedBase, symbols
23
+ >>> A = IndexedBase('A')
24
+ >>> i, j = symbols('i j', integer=True)
25
+ >>> ii = IndexedIntegral(A[i], A[i])
26
+ >>> ii
27
+ Integral(_A[i], _A[i])
28
+ >>> ii.doit()
29
+ A[i]**2/2
30
+
31
+ If the indices are different, indexed objects are considered to be
32
+ different variables:
33
+
34
+ >>> i2 = IndexedIntegral(A[j], A[i])
35
+ >>> i2
36
+ Integral(A[j], _A[i])
37
+ >>> i2.doit()
38
+ A[i]*A[j]
39
+ """
40
+
41
+ def __new__(cls, function, *limits, **assumptions):
42
+ repl, limits = IndexedIntegral._indexed_process_limits(limits)
43
+ function = sympify(function)
44
+ function = function.xreplace(repl)
45
+ obj = Integral.__new__(cls, function, *limits, **assumptions)
46
+ obj._indexed_repl = repl
47
+ obj._indexed_reverse_repl = {val: key for key, val in repl.items()}
48
+ return obj
49
+
50
+ def doit(self):
51
+ res = super().doit()
52
+ return res.xreplace(self._indexed_reverse_repl)
53
+
54
+ @staticmethod
55
+ def _indexed_process_limits(limits):
56
+ repl = {}
57
+ newlimits = []
58
+ for i in limits:
59
+ if isinstance(i, (tuple, list, Tuple)):
60
+ v = i[0]
61
+ vrest = i[1:]
62
+ else:
63
+ v = i
64
+ vrest = ()
65
+ if isinstance(v, Indexed):
66
+ if v not in repl:
67
+ r = Dummy(str(v))
68
+ repl[v] = r
69
+ newlimits.append((r,)+vrest)
70
+ else:
71
+ newlimits.append(i)
72
+ return repl, newlimits
venv/lib/python3.10/site-packages/sympy/sandbox/tests/__init__.py ADDED
File without changes
venv/lib/python3.10/site-packages/sympy/sandbox/tests/__pycache__/__init__.cpython-310.pyc ADDED
Binary file (187 Bytes). View file
 
venv/lib/python3.10/site-packages/sympy/sandbox/tests/__pycache__/test_indexed_integrals.cpython-310.pyc ADDED
Binary file (1.31 kB). View file
 
venv/lib/python3.10/site-packages/sympy/sandbox/tests/test_indexed_integrals.py ADDED
@@ -0,0 +1,25 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ from sympy.sandbox.indexed_integrals import IndexedIntegral
2
+ from sympy.core.symbol import symbols
3
+ from sympy.functions.elementary.trigonometric import (cos, sin)
4
+ from sympy.tensor.indexed import (Idx, IndexedBase)
5
+
6
+
7
+ def test_indexed_integrals():
8
+ A = IndexedBase('A')
9
+ i, j = symbols('i j', integer=True)
10
+ a1, a2 = symbols('a1:3', cls=Idx)
11
+ assert isinstance(a1, Idx)
12
+
13
+ assert IndexedIntegral(1, A[i]).doit() == A[i]
14
+ assert IndexedIntegral(A[i], A[i]).doit() == A[i] ** 2 / 2
15
+ assert IndexedIntegral(A[j], A[i]).doit() == A[i] * A[j]
16
+ assert IndexedIntegral(A[i] * A[j], A[i]).doit() == A[i] ** 2 * A[j] / 2
17
+ assert IndexedIntegral(sin(A[i]), A[i]).doit() == -cos(A[i])
18
+ assert IndexedIntegral(sin(A[j]), A[i]).doit() == sin(A[j]) * A[i]
19
+
20
+ assert IndexedIntegral(1, A[a1]).doit() == A[a1]
21
+ assert IndexedIntegral(A[a1], A[a1]).doit() == A[a1] ** 2 / 2
22
+ assert IndexedIntegral(A[a2], A[a1]).doit() == A[a1] * A[a2]
23
+ assert IndexedIntegral(A[a1] * A[a2], A[a1]).doit() == A[a1] ** 2 * A[a2] / 2
24
+ assert IndexedIntegral(sin(A[a1]), A[a1]).doit() == -cos(A[a1])
25
+ assert IndexedIntegral(sin(A[a2]), A[a1]).doit() == sin(A[a2]) * A[a1]
venv/lib/python3.10/site-packages/sympy/series/__init__.py ADDED
@@ -0,0 +1,23 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """A module that handles series: find a limit, order the series etc.
2
+ """
3
+ from .order import Order
4
+ from .limits import limit, Limit
5
+ from .gruntz import gruntz
6
+ from .series import series
7
+ from .approximants import approximants
8
+ from .residues import residue
9
+ from .sequences import SeqPer, SeqFormula, sequence, SeqAdd, SeqMul
10
+ from .fourier import fourier_series
11
+ from .formal import fps
12
+ from .limitseq import difference_delta, limit_seq
13
+
14
+ from sympy.core.singleton import S
15
+ EmptySequence = S.EmptySequence
16
+
17
+ O = Order
18
+
19
+ __all__ = ['Order', 'O', 'limit', 'Limit', 'gruntz', 'series', 'approximants',
20
+ 'residue', 'EmptySequence', 'SeqPer', 'SeqFormula', 'sequence',
21
+ 'SeqAdd', 'SeqMul', 'fourier_series', 'fps', 'difference_delta',
22
+ 'limit_seq'
23
+ ]
venv/lib/python3.10/site-packages/sympy/series/__pycache__/__init__.cpython-310.pyc ADDED
Binary file (940 Bytes). View file
 
venv/lib/python3.10/site-packages/sympy/series/__pycache__/acceleration.cpython-310.pyc ADDED
Binary file (3.83 kB). View file