# Miscellaneous#

Miscellaneous stuff that does not really fit anywhere else.

sympy.utilities.misc.as_int(n, strict=True)[source]#

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__ 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

sympy.utilities.misc.debug(*args)[source]#

Print *args if SYMPY_DEBUG is True, else do nothing.

sympy.utilities.misc.debug_decorator(func)[source]#

If SYMPY_DEBUG is True, it will print a nice execution tree with arguments and results of all decorated functions, else do nothing.

sympy.utilities.misc.filldedent(s, w=70, **kwargs)[source]#

Strips leading and trailing empty lines from a copy of s, then dedents, fills and returns it.

Empty line stripping serves to deal with docstrings like this one that start with a newline after the initial triple quote, inserting an empty line at the beginning of the string.

Additional keyword arguments will be passed to textwrap.fill().

sympy.utilities.misc.find_executable(executable, path=None)[source]#

Try to find ‘executable’ in the directories listed in ‘path’ (a string listing directories separated by ‘os.pathsep’; defaults to os.environ[‘PATH’]). Returns the complete filename or None if not found

sympy.utilities.misc.func_name(x, short=False)[source]#

Return function name of $$x$$ (if defined) else the $$type(x)$$. If short is True and there is a shorter alias for the result, return the alias.

Examples

>>> from sympy.utilities.misc import func_name
>>> from sympy import Matrix
>>> from sympy.abc import x
>>> func_name(Matrix.eye(3))
'MutableDenseMatrix'
>>> func_name(x < 1)
'StrictLessThan'
>>> func_name(x < 1, short=True)
'Lt'

sympy.utilities.misc.ordinal(num)[source]#

Return ordinal number string of num, e.g. 1 becomes 1st.

sympy.utilities.misc.rawlines(s)[source]#

Return a cut-and-pastable string that, when printed, is equivalent to the input. Use this when there is more than one line in the string. The string returned is formatted so it can be indented nicely within tests; in some cases it is wrapped in the dedent function which has to be imported from textwrap.

Examples

Note: because there are characters in the examples below that need to be escaped because they are themselves within a triple quoted docstring, expressions below look more complicated than they would be if they were printed in an interpreter window.

>>> from sympy.utilities.misc import rawlines
>>> from sympy import TableForm
>>> s = str(TableForm([[1, 10]], headings=(None, ['a', 'bee'])))
>>> print(rawlines(s))
(
'a bee\n'
'-----\n'
'1 10 '
)
>>> print(rawlines('''this
... that'''))
dedent('''\
this
that''')

>>> print(rawlines('''this
... that
... '''))
dedent('''\
this
that
''')

>>> s = """this
... is a triple '''
... """
>>> print(rawlines(s))
dedent("""\
this
is a triple '''
""")

>>> print(rawlines('''this
... that
...     '''))
(
'this\n'
'that\n'
'    '
)


sympy.utilities.misc.replace(string, *reps)[source]#

Return string with all keys in reps replaced with their corresponding values, longer strings first, irrespective of the order they are given. reps may be passed as tuples or a single mapping.

Examples

>>> from sympy.utilities.misc import replace
>>> replace('foo', {'oo': 'ar', 'f': 'b'})
'bar'
>>> replace("spamham sha", ("spam", "eggs"), ("sha","md5"))
'eggsham md5'


There is no guarantee that a unique answer will be obtained if keys in a mapping overlap (i.e. are the same length and have some identical sequence at the beginning/end):

>>> reps = [
...     ('ab', 'x'),
...     ('bc', 'y')]
>>> replace('abc', *reps) in ('xc', 'ay')
True


References

sympy.utilities.misc.strlines(s, c=64, short=False)[source]#

Return a cut-and-pastable string that, when printed, is equivalent to the input. The lines will be surrounded by parentheses and no line will be longer than c (default 64) characters. If the line contains newlines characters, the $$rawlines$$ result will be returned. If short is True (default is False) then if there is one line it will be returned without bounding parentheses.

Examples

>>> from sympy.utilities.misc import strlines
>>> q = 'this is a long string that should be broken into shorter lines'
>>> print(strlines(q, 40))
(
'this is a long string that should be b'
'roken into shorter lines'
)
>>> q == (
... 'this is a long string that should be b'
... 'roken into shorter lines'
... )
True


sympy.utilities.misc.translate(s, a, b=None, c=None)[source]#

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