566 lines
16 KiB
Python
566 lines
16 KiB
Python
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"""Miscellaneous stuff that does not really fit anywhere else."""
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from __future__ import annotations
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import operator
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import sys
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import os
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import re as _re
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import struct
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from textwrap import fill, dedent
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class Undecidable(ValueError):
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# an error to be raised when a decision cannot be made definitively
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# where a definitive answer is needed
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pass
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def filldedent(s, w=70, **kwargs):
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"""
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Strips leading and trailing empty lines from a copy of ``s``, then dedents,
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fills and returns it.
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Empty line stripping serves to deal with docstrings like this one that
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start with a newline after the initial triple quote, inserting an empty
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line at the beginning of the string.
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Additional keyword arguments will be passed to ``textwrap.fill()``.
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See Also
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========
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strlines, rawlines
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"""
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return '\n' + fill(dedent(str(s)).strip('\n'), width=w, **kwargs)
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def strlines(s, c=64, short=False):
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"""Return a cut-and-pastable string that, when printed, is
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equivalent to the input. The lines will be surrounded by
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parentheses and no line will be longer than c (default 64)
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characters. If the line contains newlines characters, the
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`rawlines` result will be returned. If ``short`` is True
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(default is False) then if there is one line it will be
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returned without bounding parentheses.
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Examples
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========
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>>> from sympy.utilities.misc import strlines
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>>> q = 'this is a long string that should be broken into shorter lines'
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>>> print(strlines(q, 40))
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(
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'this is a long string that should be b'
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'roken into shorter lines'
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)
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>>> q == (
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... 'this is a long string that should be b'
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... 'roken into shorter lines'
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... )
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True
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See Also
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========
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filldedent, rawlines
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"""
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if not isinstance(s, str):
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raise ValueError('expecting string input')
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if '\n' in s:
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return rawlines(s)
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q = '"' if repr(s).startswith('"') else "'"
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q = (q,)*2
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if '\\' in s: # use r-string
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m = '(\nr%s%%s%s\n)' % q
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j = '%s\nr%s' % q
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c -= 3
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else:
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m = '(\n%s%%s%s\n)' % q
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j = '%s\n%s' % q
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c -= 2
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out = []
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while s:
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out.append(s[:c])
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s=s[c:]
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if short and len(out) == 1:
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return (m % out[0]).splitlines()[1] # strip bounding (\n...\n)
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return m % j.join(out)
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def rawlines(s):
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"""Return a cut-and-pastable string that, when printed, is equivalent
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to the input. Use this when there is more than one line in the
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string. The string returned is formatted so it can be indented
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nicely within tests; in some cases it is wrapped in the dedent
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function which has to be imported from textwrap.
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Examples
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========
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Note: because there are characters in the examples below that need
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to be escaped because they are themselves within a triple quoted
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docstring, expressions below look more complicated than they would
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be if they were printed in an interpreter window.
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>>> from sympy.utilities.misc import rawlines
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>>> from sympy import TableForm
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>>> s = str(TableForm([[1, 10]], headings=(None, ['a', 'bee'])))
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>>> print(rawlines(s))
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(
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'a bee\\n'
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'-----\\n'
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'1 10 '
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)
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>>> print(rawlines('''this
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... that'''))
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dedent('''\\
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this
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that''')
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>>> print(rawlines('''this
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... that
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... '''))
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dedent('''\\
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this
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that
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''')
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>>> s = \"\"\"this
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... is a triple '''
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... \"\"\"
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>>> print(rawlines(s))
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dedent(\"\"\"\\
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this
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is a triple '''
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\"\"\")
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>>> print(rawlines('''this
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... that
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... '''))
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(
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'this\\n'
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'that\\n'
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' '
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)
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See Also
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========
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filldedent, strlines
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"""
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lines = s.split('\n')
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if len(lines) == 1:
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return repr(lines[0])
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triple = ["'''" in s, '"""' in s]
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if any(li.endswith(' ') for li in lines) or '\\' in s or all(triple):
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rv = []
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# add on the newlines
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trailing = s.endswith('\n')
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last = len(lines) - 1
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for i, li in enumerate(lines):
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if i != last or trailing:
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rv.append(repr(li + '\n'))
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else:
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rv.append(repr(li))
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return '(\n %s\n)' % '\n '.join(rv)
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else:
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rv = '\n '.join(lines)
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if triple[0]:
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return 'dedent("""\\\n %s""")' % rv
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else:
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return "dedent('''\\\n %s''')" % rv
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ARCH = str(struct.calcsize('P') * 8) + "-bit"
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# XXX: PyPy does not support hash randomization
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HASH_RANDOMIZATION = getattr(sys.flags, 'hash_randomization', False)
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_debug_tmp: list[str] = []
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_debug_iter = 0
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def debug_decorator(func):
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"""If SYMPY_DEBUG is True, it will print a nice execution tree with
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arguments and results of all decorated functions, else do nothing.
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"""
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from sympy import SYMPY_DEBUG
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if not SYMPY_DEBUG:
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return func
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def maketree(f, *args, **kw):
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global _debug_tmp
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global _debug_iter
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oldtmp = _debug_tmp
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_debug_tmp = []
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_debug_iter += 1
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def tree(subtrees):
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def indent(s, variant=1):
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x = s.split("\n")
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r = "+-%s\n" % x[0]
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for a in x[1:]:
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if a == "":
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continue
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if variant == 1:
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r += "| %s\n" % a
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else:
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r += " %s\n" % a
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return r
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if len(subtrees) == 0:
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return ""
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f = []
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for a in subtrees[:-1]:
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f.append(indent(a))
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f.append(indent(subtrees[-1], 2))
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return ''.join(f)
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# If there is a bug and the algorithm enters an infinite loop, enable the
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# following lines. It will print the names and parameters of all major functions
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# that are called, *before* they are called
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#from functools import reduce
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#print("%s%s %s%s" % (_debug_iter, reduce(lambda x, y: x + y, \
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# map(lambda x: '-', range(1, 2 + _debug_iter))), f.__name__, args))
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r = f(*args, **kw)
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_debug_iter -= 1
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s = "%s%s = %s\n" % (f.__name__, args, r)
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if _debug_tmp != []:
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s += tree(_debug_tmp)
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_debug_tmp = oldtmp
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_debug_tmp.append(s)
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if _debug_iter == 0:
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print(_debug_tmp[0])
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_debug_tmp = []
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return r
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def decorated(*args, **kwargs):
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return maketree(func, *args, **kwargs)
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return decorated
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def debug(*args):
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"""
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Print ``*args`` if SYMPY_DEBUG is True, else do nothing.
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"""
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from sympy import SYMPY_DEBUG
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if SYMPY_DEBUG:
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print(*args, file=sys.stderr)
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def debugf(string, args):
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"""
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Print ``string%args`` if SYMPY_DEBUG is True, else do nothing. This is
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intended for debug messages using formatted strings.
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"""
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from sympy import SYMPY_DEBUG
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if SYMPY_DEBUG:
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print(string%args, file=sys.stderr)
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def find_executable(executable, path=None):
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"""Try to find 'executable' in the directories listed in 'path' (a
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string listing directories separated by 'os.pathsep'; defaults to
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os.environ['PATH']). Returns the complete filename or None if not
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found
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"""
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from .exceptions import sympy_deprecation_warning
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sympy_deprecation_warning(
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"""
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sympy.utilities.misc.find_executable() is deprecated. Use the standard
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library shutil.which() function instead.
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""",
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deprecated_since_version="1.7",
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active_deprecations_target="deprecated-find-executable",
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)
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if path is None:
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path = os.environ['PATH']
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paths = path.split(os.pathsep)
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extlist = ['']
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if os.name == 'os2':
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(base, ext) = os.path.splitext(executable)
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# executable files on OS/2 can have an arbitrary extension, but
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# .exe is automatically appended if no dot is present in the name
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if not ext:
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executable = executable + ".exe"
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elif sys.platform == 'win32':
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pathext = os.environ['PATHEXT'].lower().split(os.pathsep)
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(base, ext) = os.path.splitext(executable)
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if ext.lower() not in pathext:
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extlist = pathext
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for ext in extlist:
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execname = executable + ext
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if os.path.isfile(execname):
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return execname
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else:
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for p in paths:
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f = os.path.join(p, execname)
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if os.path.isfile(f):
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return f
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return None
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def func_name(x, short=False):
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"""Return function name of `x` (if defined) else the `type(x)`.
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If short is True and there is a shorter alias for the result,
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return the alias.
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Examples
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========
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>>> from sympy.utilities.misc import func_name
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>>> from sympy import Matrix
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>>> from sympy.abc import x
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>>> func_name(Matrix.eye(3))
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'MutableDenseMatrix'
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>>> func_name(x < 1)
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'StrictLessThan'
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>>> func_name(x < 1, short=True)
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'Lt'
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"""
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alias = {
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'GreaterThan': 'Ge',
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'StrictGreaterThan': 'Gt',
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'LessThan': 'Le',
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'StrictLessThan': 'Lt',
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'Equality': 'Eq',
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'Unequality': 'Ne',
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}
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typ = type(x)
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if str(typ).startswith("<type '"):
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typ = str(typ).split("'")[1].split("'")[0]
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elif str(typ).startswith("<class '"):
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typ = str(typ).split("'")[1].split("'")[0]
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rv = getattr(getattr(x, 'func', x), '__name__', typ)
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if '.' in rv:
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rv = rv.split('.')[-1]
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if short:
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rv = alias.get(rv, rv)
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return rv
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def _replace(reps):
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"""Return a function that can make the replacements, given in
|
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``reps``, on a string. The replacements should be given as mapping.
|
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|
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Examples
|
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|
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========
|
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|
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|
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>>> from sympy.utilities.misc import _replace
|
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>>> f = _replace(dict(foo='bar', d='t'))
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>>> f('food')
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'bart'
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>>> f = _replace({})
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>>> f('food')
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'food'
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"""
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if not reps:
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return lambda x: x
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D = lambda match: reps[match.group(0)]
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pattern = _re.compile("|".join(
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[_re.escape(k) for k, v in reps.items()]), _re.M)
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return lambda string: pattern.sub(D, string)
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def replace(string, *reps):
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"""Return ``string`` with all keys in ``reps`` replaced with
|
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their corresponding values, longer strings first, irrespective
|
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of the order they are given. ``reps`` may be passed as tuples
|
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|
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or a single mapping.
|
||
|
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|
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Examples
|
||
|
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========
|
||
|
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|
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>>> from sympy.utilities.misc import replace
|
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>>> replace('foo', {'oo': 'ar', 'f': 'b'})
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'bar'
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>>> replace("spamham sha", ("spam", "eggs"), ("sha","md5"))
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'eggsham md5'
|
||
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|
||
|
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There is no guarantee that a unique answer will be
|
||
|
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obtained if keys in a mapping overlap (i.e. are the same
|
||
|
|
length and have some identical sequence at the
|
||
|
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beginning/end):
|
||
|
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|
||
|
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>>> reps = [
|
||
|
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... ('ab', 'x'),
|
||
|
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... ('bc', 'y')]
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||
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>>> replace('abc', *reps) in ('xc', 'ay')
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||
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True
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||
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|
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References
|
||
|
|
==========
|
||
|
|
|
||
|
|
.. [1] https://stackoverflow.com/questions/6116978/how-to-replace-multiple-substrings-of-a-string
|
||
|
|
"""
|
||
|
|
if len(reps) == 1:
|
||
|
|
kv = reps[0]
|
||
|
|
if isinstance(kv, dict):
|
||
|
|
reps = kv
|
||
|
|
else:
|
||
|
|
return string.replace(*kv)
|
||
|
|
else:
|
||
|
|
reps = dict(reps)
|
||
|
|
return _replace(reps)(string)
|
||
|
|
|
||
|
|
|
||
|
|
def translate(s, a, b=None, c=None):
|
||
|
|
"""Return ``s`` where characters have been replaced or deleted.
|
||
|
|
|
||
|
|
SYNTAX
|
||
|
|
======
|
||
|
|
|
||
|
|
translate(s, None, deletechars):
|
||
|
|
all characters in ``deletechars`` are deleted
|
||
|
|
translate(s, map [,deletechars]):
|
||
|
|
all characters in ``deletechars`` (if provided) are deleted
|
||
|
|
then the replacements defined by map are made; if the keys
|
||
|
|
of map are strings then the longer ones are handled first.
|
||
|
|
Multicharacter deletions should have a value of ''.
|
||
|
|
translate(s, oldchars, newchars, deletechars)
|
||
|
|
all characters in ``deletechars`` are deleted
|
||
|
|
then each character in ``oldchars`` is replaced with the
|
||
|
|
corresponding character in ``newchars``
|
||
|
|
|
||
|
|
Examples
|
||
|
|
========
|
||
|
|
|
||
|
|
>>> from sympy.utilities.misc import translate
|
||
|
|
>>> abc = 'abc'
|
||
|
|
>>> translate(abc, None, 'a')
|
||
|
|
'bc'
|
||
|
|
>>> translate(abc, {'a': 'x'}, 'c')
|
||
|
|
'xb'
|
||
|
|
>>> translate(abc, {'abc': 'x', 'a': 'y'})
|
||
|
|
'x'
|
||
|
|
|
||
|
|
>>> translate('abcd', 'ac', 'AC', 'd')
|
||
|
|
'AbC'
|
||
|
|
|
||
|
|
There is no guarantee that a unique answer will be
|
||
|
|
obtained if keys in a mapping overlap are the same
|
||
|
|
length and have some identical sequences at the
|
||
|
|
beginning/end:
|
||
|
|
|
||
|
|
>>> translate(abc, {'ab': 'x', 'bc': 'y'}) in ('xc', 'ay')
|
||
|
|
True
|
||
|
|
"""
|
||
|
|
|
||
|
|
mr = {}
|
||
|
|
if a is None:
|
||
|
|
if c is not None:
|
||
|
|
raise ValueError('c should be None when a=None is passed, instead got %s' % c)
|
||
|
|
if b is None:
|
||
|
|
return s
|
||
|
|
c = b
|
||
|
|
a = b = ''
|
||
|
|
else:
|
||
|
|
if isinstance(a, dict):
|
||
|
|
short = {}
|
||
|
|
for k in list(a.keys()):
|
||
|
|
if len(k) == 1 and len(a[k]) == 1:
|
||
|
|
short[k] = a.pop(k)
|
||
|
|
mr = a
|
||
|
|
c = b
|
||
|
|
if short:
|
||
|
|
a, b = [''.join(i) for i in list(zip(*short.items()))]
|
||
|
|
else:
|
||
|
|
a = b = ''
|
||
|
|
elif len(a) != len(b):
|
||
|
|
raise ValueError('oldchars and newchars have different lengths')
|
||
|
|
|
||
|
|
if c:
|
||
|
|
val = str.maketrans('', '', c)
|
||
|
|
s = s.translate(val)
|
||
|
|
s = replace(s, mr)
|
||
|
|
n = str.maketrans(a, b)
|
||
|
|
return s.translate(n)
|
||
|
|
|
||
|
|
|
||
|
|
def ordinal(num):
|
||
|
|
"""Return ordinal number string of num, e.g. 1 becomes 1st.
|
||
|
|
"""
|
||
|
|
# modified from https://codereview.stackexchange.com/questions/41298/producing-ordinal-numbers
|
||
|
|
n = as_int(num)
|
||
|
|
k = abs(n) % 100
|
||
|
|
if 11 <= k <= 13:
|
||
|
|
suffix = 'th'
|
||
|
|
elif k % 10 == 1:
|
||
|
|
suffix = 'st'
|
||
|
|
elif k % 10 == 2:
|
||
|
|
suffix = 'nd'
|
||
|
|
elif k % 10 == 3:
|
||
|
|
suffix = 'rd'
|
||
|
|
else:
|
||
|
|
suffix = 'th'
|
||
|
|
return str(n) + suffix
|
||
|
|
|
||
|
|
|
||
|
|
def as_int(n, strict=True):
|
||
|
|
"""
|
||
|
|
Convert the argument to a builtin integer.
|
||
|
|
|
||
|
|
The return value is guaranteed to be equal to the input. ValueError is
|
||
|
|
raised if the input has a non-integral value. When ``strict`` is True, this
|
||
|
|
uses `__index__ <https://docs.python.org/3/reference/datamodel.html#object.__index__>`_
|
||
|
|
and when it is False it uses ``int``.
|
||
|
|
|
||
|
|
|
||
|
|
Examples
|
||
|
|
========
|
||
|
|
|
||
|
|
>>> from sympy.utilities.misc import as_int
|
||
|
|
>>> from sympy import sqrt, S
|
||
|
|
|
||
|
|
The function is primarily concerned with sanitizing input for
|
||
|
|
functions that need to work with builtin integers, so anything that
|
||
|
|
is unambiguously an integer should be returned as an int:
|
||
|
|
|
||
|
|
>>> as_int(S(3))
|
||
|
|
3
|
||
|
|
|
||
|
|
Floats, being of limited precision, are not assumed to be exact and
|
||
|
|
will raise an error unless the ``strict`` flag is False. This
|
||
|
|
precision issue becomes apparent for large floating point numbers:
|
||
|
|
|
||
|
|
>>> big = 1e23
|
||
|
|
>>> type(big) is float
|
||
|
|
True
|
||
|
|
>>> big == int(big)
|
||
|
|
True
|
||
|
|
>>> as_int(big)
|
||
|
|
Traceback (most recent call last):
|
||
|
|
...
|
||
|
|
ValueError: ... is not an integer
|
||
|
|
>>> as_int(big, strict=False)
|
||
|
|
99999999999999991611392
|
||
|
|
|
||
|
|
Input that might be a complex representation of an integer value is
|
||
|
|
also rejected by default:
|
||
|
|
|
||
|
|
>>> one = sqrt(3 + 2*sqrt(2)) - sqrt(2)
|
||
|
|
>>> int(one) == 1
|
||
|
|
True
|
||
|
|
>>> as_int(one)
|
||
|
|
Traceback (most recent call last):
|
||
|
|
...
|
||
|
|
ValueError: ... is not an integer
|
||
|
|
"""
|
||
|
|
if strict:
|
||
|
|
try:
|
||
|
|
if isinstance(n, bool):
|
||
|
|
raise TypeError
|
||
|
|
return operator.index(n)
|
||
|
|
except TypeError:
|
||
|
|
raise ValueError('%s is not an integer' % (n,))
|
||
|
|
else:
|
||
|
|
try:
|
||
|
|
result = int(n)
|
||
|
|
except TypeError:
|
||
|
|
raise ValueError('%s is not an integer' % (n,))
|
||
|
|
if n != result:
|
||
|
|
raise ValueError('%s is not an integer' % (n,))
|
||
|
|
return result
|