#!/usr/bin/env python # encoding: utf-8 from .generic import flatten_list, isNumber class Operator(str): """The operator class, is a string (representation of the operator) with its arity""" PRIORITY = {"^": [0, 5], "/": [0, 4], "*" : [0,3], ":": [0,3], "+": [0,1], "-":[2,1], "(":[0,0]} OPERATIONS = { \ "+": ["", ("__add__","__radd__")],\ "-": ["__neg__", ("__sub__", "__rsub__")], \ "*": ["", ("__mul__", "__rmul__")], \ "/": ["", ("__div__","__rdiv__")], \ "^": ["", ("__pow__", "")], \ "(": ["",""],\ } TXT = { \ "+": ["", "{op1} + {op2}"] ,\ "-": ["- {op1}", "{op1} - {op2}"] ,\ "*": ["", "{op1} * {op2}"] ,\ "/": ["", "{op1} / {op2}"] ,\ "^": ["", "{op1} ^ {op2}"] ,\ "(": ["",""],\ } TEX = { \ "+": ["", "{op1} + {op2}"] ,\ "-": ["- {op1}", "{op1} - {op2}"] ,\ "*": ["", "{op1} \\times {op2}"] ,\ "/": ["", "\\frac{{ {op1} }}{{ {op2} }}"] ,\ "^": ["", "{op1}^{{ {op2} }}"] ,\ "(": ["",""],\ } def __new__(cls, operator, arity = 2): op = str.__new__(cls, operator) op.arity = arity # TODO: Add op.visibility |sam. nov. 8 17:00:08 CET 2014 op.priority = cls.PRIORITY[operator][arity - 1] op.actions = cls.OPERATIONS[operator][arity-1] op._txt = cls.TXT[operator][arity-1] op._tex = cls.TEX[operator][arity-1] op.isOperator = 1 return op def __call__(self, *args): """ Calling this operator performs the rigth calculus """ if self.arity == 1: return getattr(args[0], self.actions)() elif self.arity == 2: if type(args[1]) == int: return getattr(args[0], self.actions[0])(args[1]) else: return getattr(args[1], self.actions[1])(args[0]) def _render(self, link, *args): """Global step for __txt__ and __tex__ :param link: the link between operators :param *args: the operands :returns: the string with operator and operands """ replacement = {"op"+str(i+1): ' '.join(self.add_parenthesis(op)) for (i,op) in enumerate(args)} ans = link.format(**replacement) ans = save_mainOp(ans, self) return ans def __txt__(self, *args): """Txt rendering for the operator :*args: Operands for this operation :returns: String with operator and his operands >>> op.mul.__txt__('1','2') '1 * 2' >>> op.add.__txt__('1','2') '1 + 2' >>> f = save_mainOp('2 + 3',op.add) >>> op.mul.__txt__(f, '4') '( 2 + 3 ) * 4' >>> f = save_mainOp('-3',op.sub1) >>> op.sub1.__txt__(f) '- ( -3 )' >>> op.sub1.__txt__('-3') '- ( -3 )' >>> f = save_mainOp('2 + 3',op.add) >>> op.sub1.__txt__(f) '- ( 2 + 3 )' """ return self._render(self._txt, *args) def __tex__(self, *args): """Tex rendering for the operator :*args: Operands for this operation :returns: String with operator and his operands >>> op.mul.__tex__('1','2') '1 \\\\times 2' >>> op.add.__tex__('1','2') '1 + 2' >>> f = save_mainOp('2 + 3',op.add) >>> op.mul.__tex__(f, '4') '( 2 + 3 ) \\\\times 4' >>> f = save_mainOp('-3',op.sub1) >>> op.sub1.__tex__(f) '- ( -3 )' >>> op.sub1.__tex__('-3') '- ( -3 )' >>> f = save_mainOp('2 + 3',op.add) >>> op.sub1.__tex__(f) '- ( 2 + 3 )' """ return self._render(self._tex, *args) def __p2i__(self, *args): """Fix list transformation for the operator :*args: Operands for this operation :returns: list with the operator surrounded by operands # TODO: order doctest |lun. nov. 24 07:17:29 CET 2014 >>> op.mul.__p2i__(1,2) [1, '*', 2] >>> f = save_mainOp([2, op.add, 3],op.add) >>> op.mul.__p2i__(f, 4) ['(', 2, '+', 3, ')', '*', 4] >>> f = save_mainOp([op.sub1, 3],op.sub1) >>> op.sub1.__p2i__(f) ['-', '(', '-', 3, ')'] >>> op.sub1.__p2i__(-3) ['-', '(', -3, ')'] >>> f = save_mainOp([2, op.add, 3],op.add) >>> op.sub1.__p2i__(f) ['-', '(', 2, '+', 3, ')'] """ # TODO: Attention à gestion des fractions qui se comportent chelou avec les parenthèses |dim. nov. 9 09:21:52 CET 2014 if self.arity == 1: # TODO: Marche juste avec -, il faudra voir quand il y aura d'autres operateurs unitaires |dim. nov. 9 09:24:53 CET 2014 op1 = self.add_parenthesis(args[0]) ans = flatten_list([self, op1]) elif self.arity == 2: op1 = self.add_parenthesis(args[0]) op2 = self.add_parenthesis(args[1]) ans = flatten_list([op1, self, op2]) ans = save_mainOp(ans, self) return ans def add_parenthesis(self, op): """ Add parenthesis if necessary """ try: if op.mainOp.priority < self.priority: op = flatten_list(["("] + [op] + [")"]) except AttributeError: # op has not the attribute priority try: if int(op) < 0: op = ['(', op, ')'] except ValueError: pass return flatten_list([op]) class Mul(Operator): def __new__(cls, visibility = 1): op = Operator.__new__(cls, "*") op.visibility = visibility return op def _render(self, link, *args): replacement = {"op"+str(i+1): ' '.join(self.add_parenthesis(op)) for (i,op) in enumerate(args)} if not self.visibility or args[1][0] == "(" or \ (type(args[1][0]) == str and args[1][0].isalpha()): ans = "{op1} {op2}".format(**replacement) ans = save_mainOp(ans, self) return ans else: ans = link.format(**replacement) ans = save_mainOp(ans, self) return ans class Div(Operator): def __new__(cls, visibility = 1): op = Operator.__new__(cls, "/") return op def __call__(self, op1, op2): if op2 == 1: return op1 else: return Fraction(op1,op2) def __tex__(self, *args): # Pas besoin de parenthèses en plus pour \frac replacement = {"op"+str(i+1): op for (i,op) in enumerate(args)} ans = self._tex.format(**replacement) ans = save_mainOp(ans, self) return ans class Sub1(Operator): def __new__(cls,): op = Operator.__new__(cls, "-", 1) return op def add_parenthesis(self, op): """ Add parenthesis if necessary """ try: if op.mainOp.priority <= self.priority: op = flatten_list(["("] + [op] + [")"]) except AttributeError: # op has not the attribute priority try: if int(op) < 0: op = ['(', op, ')'] except ValueError: pass return flatten_list([op]) class op(object): """ List of admited operations """ # TODO: On pourrait peut être le faire plus proprement avec des décorateurs? |mar. nov. 11 20:24:54 CET 2014 add = Operator("+") sub = Operator("-") #mul = Mul("*") #div = Div("/") mul = Mul() div = Div() pw = Operator("^") #sub1 = Operator("-", 1) sub1 = Sub1() par = Operator("(") def save_mainOp(obj, mainOp): """Create a temporary class build over built-in type to stock the main operation of a calculus :obj: the object to add the attribute :mainOp: the main operator :returns: the same object with the main operation attribute """ class Fake(type(obj)): """ The fake class """ def __new__(cls, obj): op = type(obj).__new__(cls, obj) op.mainOp = mainOp return op return Fake(obj) if __name__ == '__main__': print(op.mul.__txt__('1','2')) print(op.sub.__txt__('1','2')) print(op.add.__txt__('1','2')) f = save_mainOp('2 + 3',op.add) print(op.mul.__txt__(f, '4')) f = save_mainOp('-3',op.sub1) print(op.sub1.__txt__(f)) print(op.sub1.__txt__('-3')) f = save_mainOp('2 + 3',op.add) print(op.sub1.__txt__(f)) from .fraction import Fraction f = Fraction(1, 2) print(op.add.__txt__(f.__txt__(),'2')) print(op.add.__tex__(f.__tex__(),'2')) import doctest doctest.testmod() # 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