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"""Miscellaneous stuff that doesn't really fit anywhere else.""" 

 

from __future__ import print_function, division 

 

import sys 

import os 

import re as _re 

from textwrap import fill, dedent 

from sympy.core.compatibility import get_function_name, range 

 

 

 

def filldedent(s, w=70): 

""" 

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.""" 

return '\n' + fill(dedent(str(s)).strip('\n'), width=w) 

 

 

def rawlines(s): 

"""Return a cut-and-pastable string that, when printed, is equivalent 

to the input. 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)) # the \\ appears as \ when printed 

( 

'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' 

' ' 

) 

""" 

lines = s.split('\n') 

if len(lines) == 1: 

return repr(lines[0]) 

triple = ["'''" in s, '"""' in s] 

if any(li.endswith(' ') for li in lines) or '\\' in s or all(triple): 

rv = ["("] 

# add on the newlines 

trailing = s.endswith('\n') 

last = len(lines) - 1 

for i, li in enumerate(lines): 

if i != last or trailing: 

rv.append(repr(li)[:-1] + '\\n\'') 

else: 

rv.append(repr(li)) 

return '\n '.join(rv) + '\n)' 

else: 

rv = '\n '.join(lines) 

if triple[0]: 

return 'dedent("""\\\n %s""")' % rv 

else: 

return "dedent('''\\\n %s''')" % rv 

 

size = getattr(sys, "maxint", None) 

if size is None: # Python 3 doesn't have maxint 

size = sys.maxsize 

if size > 2**32: 

ARCH = "64-bit" 

else: 

ARCH = "32-bit" 

 

 

# XXX: PyPy doesn't support hash randomization 

HASH_RANDOMIZATION = getattr(sys.flags, 'hash_randomization', False) 

 

_debug_tmp = [] 

_debug_iter = 0 

 

def debug_decorator(func): 

"""If SYMPY_DEBUG is True, it will print a nice execution tree with 

arguments and results of all decorated functions, else do nothing. 

""" 

from sympy import SYMPY_DEBUG 

 

if not SYMPY_DEBUG: 

return func 

 

def maketree(f, *args, **kw): 

global _debug_tmp 

global _debug_iter 

oldtmp = _debug_tmp 

_debug_tmp = [] 

_debug_iter += 1 

 

def tree(subtrees): 

def indent(s, type=1): 

x = s.split("\n") 

r = "+-%s\n" % x[0] 

for a in x[1:]: 

if a == "": 

continue 

if type == 1: 

r += "| %s\n" % a 

else: 

r += " %s\n" % a 

return r 

if len(subtrees) == 0: 

return "" 

f = [] 

for a in subtrees[:-1]: 

f.append(indent(a)) 

f.append(indent(subtrees[-1], 2)) 

return ''.join(f) 

 

# If there is a bug and the algorithm enters an infinite loop, enable the 

# following lines. It will print the names and parameters of all major functions 

# that are called, *before* they are called 

#from sympy.core.compatibility import reduce 

#print("%s%s %s%s" % (_debug_iter, reduce(lambda x, y: x + y, \ 

# map(lambda x: '-', range(1, 2 + _debug_iter))), get_function_name(f), args)) 

 

r = f(*args, **kw) 

 

_debug_iter -= 1 

s = "%s%s = %s\n" % (get_function_name(f), args, r) 

if _debug_tmp != []: 

s += tree(_debug_tmp) 

_debug_tmp = oldtmp 

_debug_tmp.append(s) 

if _debug_iter == 0: 

print((_debug_tmp[0])) 

_debug_tmp = [] 

return r 

 

def decorated(*args, **kwargs): 

return maketree(func, *args, **kwargs) 

 

return decorated 

 

 

def debug(*args): 

""" 

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

""" 

from sympy import SYMPY_DEBUG 

if SYMPY_DEBUG: 

print(*args, file=sys.stderr) 

 

 

def find_executable(executable, path=None): 

"""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 

""" 

if path is None: 

path = os.environ['PATH'] 

paths = path.split(os.pathsep) 

extlist = [''] 

if os.name == 'os2': 

(base, ext) = os.path.splitext(executable) 

# executable files on OS/2 can have an arbitrary extension, but 

# .exe is automatically appended if no dot is present in the name 

if not ext: 

executable = executable + ".exe" 

elif sys.platform == 'win32': 

pathext = os.environ['PATHEXT'].lower().split(os.pathsep) 

(base, ext) = os.path.splitext(executable) 

if ext.lower() not in pathext: 

extlist = pathext 

for ext in extlist: 

execname = executable + ext 

if os.path.isfile(execname): 

return execname 

else: 

for p in paths: 

f = os.path.join(p, execname) 

if os.path.isfile(f): 

return f 

else: 

return None 

 

 

def func_name(x): 

'''Return function name of `x` (if defined) else the `type(x)`. 

See Also 

======== 

sympy.core.compatibility get_function_name 

''' 

return getattr(getattr(x, 'func', x), '__name__', type(x)) 

 

 

def _replace(reps): 

"""Return a function that can make the replacements, given in 

``reps``, on a string. The replacements should be given as mapping. 

 

Examples 

======== 

 

>>> from sympy.utilities.misc import _replace 

>>> f = _replace(dict(foo='bar', d='t')) 

>>> f('food') 

'bart' 

>>> f = _replace({}) 

>>> f('food') 

'food' 

""" 

if not reps: 

return lambda x: x 

D = lambda match: reps[match.group(0)] 

pattern = _re.compile("|".join( 

[_re.escape(k) for k, v in reps.items()]), _re.M) 

return lambda string: pattern.sub(D, string) 

 

 

def replace(string, *reps): 

"""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 

========== 

 

.. [1] http://stackoverflow.com/questions/6116978/python-replace-multiple-strings 

""" 

if len(reps) == 1: 

kv = reps[0] 

if type(kv) is 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 

>>> from sympy.core.compatibility import unichr 

>>> 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 

""" 

from sympy.core.compatibility import maketrans 

 

# when support for Python 2 is dropped, this try/except can be 

#removed 

try: 

''.translate(None, '') 

py3 = False 

except TypeError: 

py3 = True 

 

mr = {} 

if a is None: 

assert c is None 

if not b: 

return s 

c = b 

a = b = '' 

else: 

if type(a) is 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 = '' 

else: 

assert len(a) == len(b) 

if py3: 

if c: 

s = s.translate(maketrans('', '', c)) 

s = replace(s, mr) 

return s.translate(maketrans(a, b)) 

else: 

# when support for Python 2 is dropped, this if-else-block 

# can be replaced with the if-clause 

if c: 

c = list(c) 

rem = {} 

for i in range(-1, -1 - len(c), -1): 

if ord(c[i]) > 255: 

rem[c[i]] = '' 

c.pop(i) 

s = s.translate(None, ''.join(c)) 

s = replace(s, rem) 

if a: 

a = list(a) 

b = list(b) 

for i in range(-1, -1 - len(a), -1): 

if ord(a[i]) > 255 or ord(b[i]) > 255: 

mr[a.pop(i)] = b.pop(i) 

a = ''.join(a) 

b = ''.join(b) 

s = replace(s, mr) 

table = maketrans(a, b) 

# s may have become unicode which uses the py3 syntax for translate 

if type(table) is str and type(s) is str: 

s = s.translate(table) 

else: 

s = s.translate(dict( 

[(i, ord(c)) for i, c in enumerate(table)])) 

return s