518 lines
14 KiB
Python
518 lines
14 KiB
Python
#!/usr/bin/env python
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# encoding: utf-8
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from .generic import flatten_list, isNumber
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import types
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class Operator(str):
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"""The operator class, is a string (representation of the operator) with its arity"""
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def __new__(cls, operator = "", name = "", priority = 0, actions = ("",""), txt = "", tex = "", arity = 2):
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""" Create an Operator """
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#def __new__(cls, operator, arity = 2):
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op = str.__new__(cls, operator)
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op.operator = operator
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op.name = name
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op.arity = arity
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op.priority = priority
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op.actions = actions
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op.txt = txt
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op.tex = tex
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op.isOperator = 1
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# TODO: Add self.visibility |sam. nov. 8 17:00:08 CET 2014
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return op
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def __call__(self, *args):
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""" Calling this operator performs the rigth calculus """
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return self._call(*args)
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def _call(self, *args):
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"""Trick to avoid overloading __call__ """
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if self.arity == 1:
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return getattr(args[0], self.actions)()
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elif self.arity == 2:
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if type(args[1]) == int:
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return getattr(args[0], self.actions[0])(args[1])
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else:
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return getattr(args[1], self.actions[1])(args[0])
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def _render(self, link, *args):
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"""Global step for __txt__ and __tex__
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:param link: the link between operators
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:param *args: the operands
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:returns: the string with operator and operands
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"""
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replacement = {"op"+str(i+1): ' '.join(self.add_parenthesis(op)) for (i,op) in enumerate(args)}
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ans = link.format(**replacement)
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ans = save_mainOp(ans, self)
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return ans
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def __txt__(self, *args):
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"""Txt rendering for the operator
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:*args: Operands for this operation
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:returns: String with operator and his operands
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>>> op.mul.__txt__('1','2')
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'1 * 2'
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>>> op.add.__txt__('1','2')
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'1 + 2'
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>>> f = save_mainOp('2 + 3',op.add)
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>>> op.mul.__txt__(f, '4')
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'( 2 + 3 ) * 4'
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>>> f = save_mainOp('-3',op.sub1)
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>>> op.sub1.__txt__(f)
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'- ( -3 )'
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>>> op.sub1.__txt__('-3')
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'- ( -3 )'
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>>> f = save_mainOp('2 + 3',op.add)
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>>> op.sub1.__txt__(f)
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'- ( 2 + 3 )'
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"""
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return self._render(self.txt, *args)
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def __tex__(self, *args):
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"""Tex rendering for the operator
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:*args: Operands for this operation
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:returns: String with operator and his operands
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>>> op.mul.__tex__('1','2')
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'1 \\\\times 2'
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>>> op.add.__tex__('1','2')
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'1 + 2'
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>>> f = save_mainOp('2 + 3',op.add)
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>>> op.mul.__tex__(f, '4')
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'( 2 + 3 ) \\\\times 4'
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>>> f = save_mainOp('-3',op.sub1)
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>>> op.sub1.__tex__(f)
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'- ( -3 )'
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>>> op.sub1.__tex__('-3')
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'- ( -3 )'
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>>> f = save_mainOp('2 + 3',op.add)
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>>> op.sub1.__tex__(f)
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'- ( 2 + 3 )'
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"""
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return self._render(self.tex, *args)
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def __p2i__(self, *args):
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"""Fix list transformation for the operator
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:*args: Operands for this operation
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:returns: list with the operator surrounded by operands
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# TODO: order doctest |lun. nov. 24 07:17:29 CET 2014
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>>> op.mul.__p2i__(1,2)
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[1, '*', 2]
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>>> f = save_mainOp([2, op.add, 3],op.add)
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>>> op.mul.__p2i__(f, 4)
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['(', 2, '+', 3, ')', '*', 4]
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>>> f = save_mainOp([op.sub1, 3],op.sub1)
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>>> op.sub1.__p2i__(f)
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['-', '(', '-', 3, ')']
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>>> op.sub1.__p2i__(-3)
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['-', '(', -3, ')']
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>>> f = save_mainOp([2, op.add, 3],op.add)
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>>> op.sub1.__p2i__(f)
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['-', '(', 2, '+', 3, ')']
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"""
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# TODO: Attention à gestion des fractions qui se comportent chelou avec les parenthèses |dim. nov. 9 09:21:52 CET 2014
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if self.arity == 1:
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# TODO: Marche juste avec -, il faudra voir quand il y aura d'autres operateurs unitaires |dim. nov. 9 09:24:53 CET 2014
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op1 = self.add_parenthesis(args[0])
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ans = flatten_list([self, op1])
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elif self.arity == 2:
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op1 = self.add_parenthesis(args[0])
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op2 = self.add_parenthesis(args[1])
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ans = flatten_list([op1, self, op2])
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ans = save_mainOp(ans, self)
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return ans
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def add_parenthesis(self, op):
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""" Add parenthesis if necessary """
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try:
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if op.mainOp.priority < self.priority:
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op = flatten_list(["("] + [op] + [")"])
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except AttributeError:
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# op has not the attribute priority
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try:
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if int(op) < 0:
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op = ['(', op, ')']
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except ValueError:
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pass
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return flatten_list([op])
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def save_mainOp(obj, mainOp):
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"""Create a temporary class build over built-in type to stock the main operation of a calculus
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:obj: the object to add the attribute
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:mainOp: the main operator
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:returns: the same object with the main operation attribute
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"""
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#class Fake(type(obj)):
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# """ The fake class """
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# def __new__(cls, obj):
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# op = type(obj).__new__(cls, obj)
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# op.mainOp = mainOp
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# return op
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Fake = type('fake_'+str(type(obj)), (type(obj),), {'mainOp': mainOp})
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return Fake(obj)
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def operatorize(fun):
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"""Transform the answer of the function into an operator
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The returned value of the function has to be a dictionnary with those keys
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* "operator": the name (Needed!)
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* "priority": the priority level
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* "actions": mathematics actions of the operator (list of 1 element if the arity is 1, 2 elements if arity is 2)
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* "txt": string ready to be formated in txt for with {op1} and/or {op2}
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* "tex": string ready to be formated in tex for with {op1} and/or {op2}
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* "arity": arity ie number of operands needed
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* "_call": action to perform when call the operator
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* "_render": action use in __txt__ and __tex__
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* "__txt__": txt rendering
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* "__tex__": tex rendering
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* "add_parenthesis": mechanism to add parenthesis
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"""
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def mod_fun(self, *args):
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ans = fun(self, *args)
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new_op = Operator(ans["operator"])
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for (attr, value) in ans.items():
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if hasattr(value, '__call__'):
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setattr(new_op, attr, types.MethodType(value, new_op))
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else:
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setattr(new_op, attr, value)
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return new_op
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return mod_fun
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class ClassProperty(object):
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def __init__(self, fget):
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self.fget = fget
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def __get__(self, owner_self, owner_cls):
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return self.fget(owner_cls)
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class op(object):
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""" List of admited operations """
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_operators = {("+",2): "add",\
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("-", 2): "sub",\
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("-", 1): "sub1",\
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("*", 2): "mul",\
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("/", 2): "div",\
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("^", 2): "pw",\
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("(", 2): "par",\
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}
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@classmethod
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def get_op(cls, op, arity = 2):
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"""Return the corresponding operator
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:op: symbole of the op
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:arity: the arity
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>>> op.get_op('+')
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'+'
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>>> mul = op.get_op('*')
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>>> mul.tex
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'{op1} \\\\times {op2}'
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>>> mul.txt
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'{op1} * {op2}'
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"""
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try:
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return getattr(cls, cls._operators[(op, arity)])
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except KeyError:
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raise KeyError("{theOp} (arity: {arity}) is not available".format(theOp = op, arity = arity))
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@classmethod
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def can_be_operator(cls, symbole):
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""" Tell if the symbole can be an operator """
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return symbole in [i[0] for i in cls._operators]
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@ClassProperty
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@operatorize
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def add(cls):
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""" The operator +
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>>> add = op.add
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>>> add
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'+'
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>>> add(1, 2)
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3
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>>> add.__tex__('1','2')
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'1 + 2'
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>>> add.__txt__('1','2')
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'1 + 2'
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>>> add.__tex__('1','-2')
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'1 + (-2)'
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"""
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caract = {
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"operator" : "+", \
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"name" : "add",\
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"priority" : 1, \
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"arity" : 2, \
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"actions" : ("__add__","__radd__"), \
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"txt" : "{op1} + {op2}",\
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"tex" : "{op1} + {op2}",\
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}
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return caract
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@ClassProperty
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@operatorize
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def sub(self):
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""" The operator -
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>>> sub = op.sub
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>>> sub
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'-'
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>>> sub(1, 2)
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-1
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>>> sub.__tex__('1','2')
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'1 - 2'
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>>> sub.__txt__('1','2')
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'1 - 2'
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>>> sub.__tex__('1','-2')
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'1 - (-2)'
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"""
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caract = {
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"operator" : "-", \
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"name" : "sub",\
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"priority" : 1, \
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"arity" : 2, \
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"actions" : ("__sub__","__rsub__"), \
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"txt" : "{op1} - {op2}",\
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"tex" : "{op1} - {op2}",\
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}
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return caract
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@ClassProperty
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@operatorize
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def sub1(self):
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""" The operator -
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>>> sub1 = op.sub1
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>>> sub1
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'-'
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>>> sub1(1)
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-1
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>>> sub1.__tex__('1')
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'- 1'
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>>> sub1.__txt__('1')
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'- 1'
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>>> sub1.__tex__('-1')
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'- (-1)'
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"""
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def add_parenthesis(self, op):
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""" Add parenthesis if necessary """
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try:
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if op.mainOp.priority <= self.priority:
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op = flatten_list(["("] + [op] + [")"])
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except AttributeError:
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# op has not the attribute priority
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try:
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if int(op) < 0:
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op = ['(', op, ')']
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except ValueError:
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pass
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return flatten_list([op])
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caract = {
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"operator" : "-", \
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"name" : "sub1",\
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"priority" : 2, \
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"arity" : 1, \
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"actions" : "__neg__",\
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"txt" : "- {op1}",\
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"tex" : "- {op1}",\
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"add_parenthesis": add_parenthesis,\
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}
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return caract
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@ClassProperty
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@operatorize
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def mul(self):
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""" The operator *
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>>> mul = op.mul
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>>> mul
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'*'
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>>> mul(1, 2)
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2
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>>> mul.__tex__('1','2')
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'1 \\times 2'
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>>> mul.__txt__('1','2')
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'1 * 2'
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>>> mul.__tex__('1','-2')
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'1 \\times (-2)'
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"""
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# * can not be display in some cases
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def _render(self, link, *args):
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replacement = {"op"+str(i+1): ' '.join(self.add_parenthesis(op)) for (i,op) in enumerate(args)}
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if not self.visibility or args[1][0] == "(" or \
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(type(args[1][0]) == str and args[1][0].isalpha()):
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ans = "{op1} {op2}".format(**replacement)
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ans = save_mainOp(ans, self)
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return ans
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else:
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ans = link.format(**replacement)
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ans = save_mainOp(ans, self)
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return ans
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caract = {
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"operator" : "*", \
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"name" : "mul",\
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"priority" : 4, \
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"arity" : 2, \
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"actions" : ("__mul__","__rmul__"), \
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"txt" : "{op1} * {op2}",\
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"tex" : "{op1} \\times {op2}",\
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"visibility": 1,\
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"_render": _render
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}
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return caract
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@ClassProperty
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@operatorize
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def div(self):
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""" The operator /
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>>> div = op.div
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>>> div
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'/'
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>>> div(1, 2)
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< Fraction 1 / 2>
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>>> div.__tex__('1','2')
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'\\frac{ 1 }{ 2 }'
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>>> div.__tex__('1','2')
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'\\frac{ -1 }{ 2 }'
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>>> div.__txt__('1','2')
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'1 / 2'
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"""
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from .fraction import Fraction
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def _call(self, op1, op2):
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if op2 == 1:
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return op1
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else:
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return Fraction(op1,op2)
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def __tex__(self, *args):
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# Pas besoin de parenthèses en plus pour \frac
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replacement = {"op"+str(i+1): op for (i,op) in enumerate(args)}
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ans = self.tex.format(**replacement)
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ans = save_mainOp(ans, self)
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return ans
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caract = {
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"operator" : "/", \
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"name" : "div",\
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"priority" : 5, \
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"arity" : 2, \
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"txt" : "{op1} / {op2}",\
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"tex" : "\\frac{{ {op1} }}{{ {op2} }}",\
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"_call": _call,\
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"__tex__":__tex__,\
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}
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return caract
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@ClassProperty
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@operatorize
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def pw(self):
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""" The operator ^
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>>> pw = op.pw
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>>> pw
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'^'
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>>> pw(2, 3)
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8
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>>> pw.__tex__('2','3')
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'2^{ 3 }'
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>>> pw.__txt__('2','3')
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'2 ^ 3'
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>>> pw.__txt__('-2','3')
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'( -2 ) ^ 3'
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"""
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def _call(self, op1, op2):
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""" Calling this operator performs the rigth calculus """
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return getattr(op1, "__pow__")(op2)
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caract = {
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"operator" : "^", \
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"name" : "pw",\
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"priority" : 5, \
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"arity" : 2, \
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"actions" : ("__pow__",""), \
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"txt" : "{op1} ^ {op2}",\
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"tex" : "{op1}^{{ {op2} }}",\
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"_call":_call,\
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}
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return caract
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@ClassProperty
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@operatorize
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def par(self):
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""" The operator ( """
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caract = {
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"operator" : "(", \
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"name" : "par",\
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"priority" : 0, \
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"arity" : 0, \
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}
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return caract
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if __name__ == '__main__':
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print(op.add.__tex__('1','2'))
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print(op.mul.__tex__('1','2'))
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print(op.sub.__tex__('1','2'))
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f = save_mainOp('2 + 3',op.add)
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print(op.mul.__txt__(f, '4'))
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f = save_mainOp('-3',op.sub1)
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print(op.sub1.__txt__(f))
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print(op.sub1.__txt__('-3'))
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f = save_mainOp('2 + 3',op.add)
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print(op.sub1.__txt__(f))
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from .fraction import Fraction
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f = Fraction(1, 2)
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print(op.add.__txt__(f.__txt__(),'2'))
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print(op.add.__tex__(f.__tex__(),'2'))
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print("\t op.can_be_operator('+') :" + str(op.can_be_operator('+')))
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print("\t op.can_be_operator('t') :" + str(op.can_be_operator('t')))
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import doctest
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doctest.testmod()
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# -----------------------------
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# Reglages pour 'vim'
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# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
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# cursor: 16 del
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