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"""
This module implements the functionality to take any Python expression as a
string and fix all numbers and other things before evaluating it,
thus
1/2
returns
Integer(1)/Integer(2)
We use the ast module for this. It is well documented at docs.python.org.
Some tips to understand how this works: use dump() to get a nice
representation of any node. Then write a string of what you want to get,
e.g. "Integer(1)", parse it, dump it and you'll see that you need to do
"Call(Name('Integer', Load()), [node], [], None, None)". You do not need
to bother with lineno and col_offset, just call fix_missing_locations()
before returning the node.
"""
from sympy.core.basic import Basic
from sympy.core.sympify import SympifyError
from ast import parse, NodeTransformer, Call, Name, Load, \
fix_missing_locations, Constant, Tuple
class Transform(NodeTransformer):
def __init__(self, local_dict, global_dict):
NodeTransformer.__init__(self)
self.local_dict = local_dict
self.global_dict = global_dict
def visit_Constant(self, node):
if isinstance(node.value, int):
return fix_missing_locations(Call(func=Name('Integer', Load()),
args=[node], keywords=[]))
elif isinstance(node.value, float):
return fix_missing_locations(Call(func=Name('Float', Load()),
args=[node], keywords=[]))
return node
def visit_Name(self, node):
if node.id in self.local_dict:
return node
elif node.id in self.global_dict:
name_obj = self.global_dict[node.id]
if isinstance(name_obj, (Basic, type)) or callable(name_obj):
return node
elif node.id in ['True', 'False']:
return node
return fix_missing_locations(Call(func=Name('Symbol', Load()),
args=[Constant(node.id)], keywords=[]))
def visit_Lambda(self, node):
args = [self.visit(arg) for arg in node.args.args]
body = self.visit(node.body)
n = Call(func=Name('Lambda', Load()),
args=[Tuple(args, Load()), body], keywords=[])
return fix_missing_locations(n)
def parse_expr(s, local_dict):
"""
Converts the string "s" to a SymPy expression, in local_dict.
It converts all numbers to Integers before feeding it to Python and
automatically creates Symbols.
"""
global_dict = {}
exec('from sympy import *', global_dict)
try:
a = parse(s.strip(), mode="eval")
except SyntaxError:
raise SympifyError("Cannot parse %s." % repr(s))
a = Transform(local_dict, global_dict).visit(a)
e = compile(a, "<string>", "eval")
return eval(e, global_dict, local_dict)