#!/usr/bin/env python # encoding: utf-8 from generic import Stack,flatten_list from fraction import Fraction class Render(object): """A class which aims to create render functions from three dictionnaries: - op_infix: dict of caracters - op_postfix: dict of 2 arguments functions - other: dict of caracters Those three dictionnaries while define how a postfix expression will be transform into a string. """ PRIORITY = {"*" : 3, "/": 3, "+": 2, "-":2, "(": 1} def __init__(self, op_infix = {}, op_postfix = {}, other = {}, join = " ", type_render = {int: str, Fraction: str, str: str}): """Initiate the render @param op_infix: the dictionnary of infix operator with how they have to be render @param op_postfix: the dictionnary of postfix operator with how they have to be render @param other: other caracters like parenthesis. @param raw: the caracter for joining the list of tokens (if False then it returns the list of tokens) @param type_render: how to render number (str or tex for fractions for example) """ self.op_infix = op_infix self.op_postfix = op_postfix self.other = other # TODO: there may be issues with PRIORITY if a sign does not appear in PRIORITY self.join = join self.type_render = type_render self.operators = list(self.op_infix.keys()) + list(self.op_postfix.keys()) + list(self.other.keys()) def __call__(self, postfix_tokens): """Make the object acting like a function :param postfix_tokens: the list of postfix tokens to be render :returns: the render string """ operandeStack = Stack() for token in postfix_tokens: if self.isOperator(token): op2 = operandeStack.pop() if self.needPar(op2, token, "after"): op2 = [self.other["("] , op2 , self.other[")"]] op1 = operandeStack.pop() if self.needPar(op1, token, "before"): op1 = [self.other["("] , op1 , self.other[")"]] if token in self.op_infix: res = flist([op1 , self.op_infix[token] , op2]) elif token in self.op_postfix: res = flist([self.op_postfix[token](op1, op2)]) # Trick to remember the main op when the render will be done! res.mainOp = token operandeStack.push(res) else: operandeStack.push(token) # Manip pour gerer les cas de listes imbriquées dans d'autres listes infix_tokens = operandeStack.pop() if type(infix_tokens) == list or type(infix_tokens) == flist: infix_tokens = flatten_list(infix_tokens) elif self.isNumber(infix_tokens): infix_tokens = [infix_tokens] if self.join: return self.join.join(flatten_list([self.render_from_type(t) for t in infix_tokens])) else: return infix_tokens def render_from_type(self, op): """ If the op is a number, it transforms it with type_render conditions :param op: the operator :returns: the op transformed if it's necessary """ if self.isNumber(op): return self.type_render[type(op)](op) else: return op # --------------------- # Tools for placing parenthesis in infix notation def needPar(self, operande, operator, posi = "after"): """Says whether or not the operande needs parenthesis :param operande: the operande :param operator: the operator :param posi: "after"(default) if the operande will be after the operator, "before" othewise :returns: bollean """ if self.isNumber(operande) \ and type(operande) != str \ and operande < 0: return 1 elif not self.isNumber(operande): # Si c'est une grande expression ou un chiffre négatif stand_alone = self.get_main_op(operande) # Si la priorité de l'operande est plus faible que celle de l'opérateur minor_priority = self.PRIORITY[self.get_main_op(operande)] < self.PRIORITY[operator] # Si l'opérateur est -/ pour after ou juste / pour before special = (operator in "-/" and posi == "after") or (operator in "/" and posi == "before") return stand_alone and (minor_priority or special) else: return 0 def get_main_op(self, tokens): """Getting the main operation of the list of tokens :param exp: the list of tokens :returns: the main operation (+, -, * or /) or 0 if the expression is only one element """ if hasattr(tokens, "mainOp"): return tokens.mainOp if len(tokens) == 1: # Si l'expression n'est qu'un élément return 0 parStack = Stack() main_op = [] for token in tokens: if token == "(": parStack.push(token) elif token == ")": parStack.pop() elif self.isOperator(token) and parStack.isEmpty(): main_op.append(token) return min(main_op, key = lambda s: self.PRIORITY[s]) ## --------------------- ## Recognize numbers and operators @staticmethod def isNumber( exp): """Check if the expression can be a number which means that it is not a operator :param exp: an expression :returns: True if the expression can be a number and false otherwise """ return type(exp) == int or \ type(exp) == Fraction or \ (type(exp) == str and exp.isalpha()) #return type(exp) == int or type(exp) == Fraction def isOperator(self, exp): """Check if the expression is in self.operators :param exp: an expression :returns: boolean """ return (type(exp) == str and exp in self.operators) class flist(list): """Fake list- they are used to stock the main operation of an rendered expression""" pass # ------------------------ # A console render txt_infix = {"+": "+", "-": "-", "*": "*", "/" : "/"} txt_postfix = {} txt_other = {"(": "(", ")": ")"} txt_render = Render(txt_infix, txt_postfix, txt_other) # ------------------------ # A infix to postfix list convertor p2i_infix = {"+": "+", "-": "-", "*": "*", "/" : "/"} p2i_postfix = {} p2i_other = {"(": "(", ")": ")"} post2in_fix = Render(p2i_infix, p2i_postfix, p2i_other, join = False) # ------------------------ # A latex render def texSlash(op1, op2): if not Render.isNumber(op1) and op1[0] == "(" and op1[-1] == ")": op1 = op1[1:-1] if not Render.isNumber(op2) and op2[0] == "(" and op2[-1] == ")": op2 = op2[1:-1] return ["\\frac{" , op1 , "}{" , op2 , "}"] def texFrac(frac): return ["\\frac{" , str(frac._num) , "}{" , str(frac._denom) , "}"] tex_infix = {"+": " + ", "-": " - ", "*": " \\times "} tex_postfix = {"/": texSlash} tex_other = {"(": "(", ")": ")"} tex_type_render = {int: str, Fraction: texFrac, str: str} tex_render = Render(tex_infix, tex_postfix, tex_other, type_render = tex_type_render) if __name__ == '__main__': exp = [2, 5, '+', 1, '-', 3, 4, '*', '/'] print(txt(exp)) exp = [2, 5, '+', 1, '-', 3, 4, '*', '/', 3, '+'] print(tex(exp)) exp = [2, 5, '+', 1, '-', 3, 4, '*', '/', 3, '+'] print(post2in_fix(exp)) # ----------------------------- # Reglages pour 'vim' # vim:set autoindent expandtab tabstop=4 shiftwidth=4: # cursor: 16 del