#!/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 = {}): """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. """ self.op_infix = op_infix self.op_postfix = op_postfix self.other = other # TODO: there may be issues with PRIORITY 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["("] + str(op2) + self.other[")"] op1 = operandeStack.pop() if self.needPar(op1, token, "before"): op1 = self.other["("] + str(op1) + self.other[")"] if token in self.op_infix: res = fstr(str(op1) + self.op_infix[token] + str(op2)) elif token in self.op_postfix: res = fstr(self.op_postfix[token](str(op1), str(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 similaires au deuxième exemple infix_tokens = operandeStack.pop() if type(infix_tokens) == list: infix_tokens = flatten_list(infix_tokens) elif self.isNumber(infix_tokens): infix_tokens = [infix_tokens] return infix_tokens # --------------------- # 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 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 def isNumber(self, 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 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 fstr(str): """Fake string - they are used to stock the main operation of an rendered expression""" pass txt_infix = {"+": " + ", "-": " - ", "*": " * ", "/" : " / "} txt_postfix = {} txt_other = {"(": "( ", ")": ") "} txt_render = Render(txt_infix, txt_postfix, txt_other) def texFrac(op1, op2): if op1[0] == "(" and op1[-1] == ")": op1 = op1[1:-1] if op2[0] == "(" and op2[-1] == ")": op2 = op2[1:-1] return "\\frac{" + str(op1) + "}{" + str(op2) + "}" tex_infix = {"+": " + ", "-": " - ", "*": " * "} tex_postfix = {"/": texFrac} tex_other = {"(": "( ", ")": " )"} tex_render = Render(tex_infix, tex_postfix, tex_other) if __name__ == '__main__': #exp = [2, 5, '+', 1, '-', 3, 4, '*', '/'] #print(txt_render(exp)) exp = [2, 5, '+', 1, '-', 3, 4, '*', '/', 3, '+'] print(tex_render(exp)) # ----------------------------- # Reglages pour 'vim' # vim:set autoindent expandtab tabstop=4 shiftwidth=4: # cursor: 16 del