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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) | |