Reoganise everything need to debug now
This commit is contained in:
Lafrite
parent
4e3f0a9b66
commit
572212d78f
402
expression.py
402
expression.py
@ -1,190 +1,332 @@
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#!/usr/bin/env python
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# encoding: utf-8
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from generic import Stack, flatten_list, expand_list
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from fraction import Fraction
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def trace(f):
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""" Permet de visualiser des appels récursifs à la fonction décorée """
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f.indent = 0
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def g(x):
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print('| ' * f.indent + '|--', f.__name__, x)
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f.indent += 1
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value = f(x)
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print( '| ' * f.indent + '|--', 'return', repr(value))
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f.indent -= 1
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return value
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return g
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class Expression(object):
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"""A calculus expression. Today it can andle only expression with numbers later it will be able to manipulate unknown"""
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priority = {"*" : 3, "/": 3, "+": 2, "-":2, "(": 1}
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PRIORITY = {"*" : 3, "/": 3, "+": 2, "-":2, "(": 1}
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def __init__(self, exp):
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""" Initiate the expression
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:param exp: the expression. It can be a string or a list of tokens. It can be infix or postfix expression
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"""
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self._exp = exp
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if type(exp) == str:
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self._exp = exp
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self.tokens = self.str2tokens(exp) # les tokens seront alors stockés dans self.tokens temporairement
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elif type(exp) == list:
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self.tokens = exp
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def simplify(self):
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""" Generator which return steps for computing the expression """
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if self._exp == 0:
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yield "Zero!"
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self.find_fix() # Determine le fix et range la liste dans self.[fix]_tokens
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## ---------------------
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## Mechanism functions
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def simplify(self, render = lambda x:str(x)):
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""" Generator which return steps for computing the expression
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@param render: function which render the list of token (postfix form now)
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"""
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if not self.can_go_further():
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yield render(self.postfix_tokens) # self.postfix_tokens devra être une propriété pour vérifier que quand on y accède, on a bien la forme voulu et si non, la calculer.
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else:
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self.children = Expression(self._exp - 1)
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yield "num: " + str(self._exp)
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yield self.children.simplify().next()
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self.compute_exp() # crée self.children et éventuellement les étapes intermédiaires pour y arriver. /!\ les étapes sont sous la forme de listes de tokens en postfix
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for s in self.steps:
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yield render(s)
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for s in self.children.simplify(render = render):
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yield render(s)
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def can_go_further(self):
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"""Check whether it's a last step or not. If not create self.children the next expression.
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:returns: 1 if it's not the last step, 0 otherwise
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"""
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if len(self.tokens) == 1:
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return 0
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else:
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return 1
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def compute_exp(self):
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""" Create self.children with self.steps to go up to it """
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self.steps = [self.postfix_tokens]
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tokenList = self.postfix_tokens.copy()
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tmpTokenList = []
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while len(tokenList) > 2:
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# on va chercher les motifs du genre A B + pour les calculer
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if isNumber(tokenList[0]) and isNumber(tokenList[1]) and self.isOperator(tokenList[2]):
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# S'il y a une opération à faire
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op1 = tokenList[0]
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op2 = tokenList[1]
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token = tokenList[2]
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res = doMath(token, op1, op2)
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tmpTokenList.append(res)
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# Comme on vient de faire le calcul, on peut détruire aussi les deux prochains termes
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del tokenList[0:3]
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else:
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tmpTokenList.append(tokenList[0])
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del tokenList[0]
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tmpTokenList += tokenList
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steps += expand_list(tmpTokenList)
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self.steps += [steps[:-1]]
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self.children = Expression(steps[-1])
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## ---------------------
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## String parsing
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## @classmethod ????
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#def parseExp(self, exp):
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# """ Parse the expression, ie tranform a string into a list of tokens
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def str2tokens(self, exp):
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""" Parse the expression, ie tranform a string into a list of tokens
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# :param exp: The expression (a string)
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# :returns: list of token
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:param exp: The expression (a string)
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:returns: list of token
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# """
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# return exp.split(" ")
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"""
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return exp.split(" ")
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## ---------------------
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## "fix" recognition
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# ---------------------
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# "fix" recognition
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#def get_fix(self, tokens):
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# """ Give the "fix" of an expression
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# infix -> A + B
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# prefix -> + A B
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# postfix -> A B +
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@classmethod
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def get_fix(self, tokens):
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""" Give the "fix" of an expression
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[A, +, B] -> infix
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[+, A, B] -> prefix
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[A, B, +] -> postfix
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/!\ does not verify if the expression is correct/computable!
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# :param exp: the expression (list of token)
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# :returns: the "fix" (infix, postfix, prefix)
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:param exp: the expression (list of token)
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:returns: the "fix" (infix, postfix, prefix)
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# """
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# if tokens[0] in "+-*/":
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# return "prefix"
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# elif token[0] not in "+-*/" ans token[1] not in "+-*/":
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# return "postfix"
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# else:
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# return "infix"
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"""
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if self.isOperator(tokens[0]):
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return "prefix"
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elif not self.isOperator(tokens[0]) and not self.isOperator(tokens[1]):
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return "postfix"
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else:
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return "infix"
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## ----------------------
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## Expressions - tokens getters
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def find_fix(self):
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""" Recognize the fix of self.tokens and stock tokens in self.[fix]_tokens """
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fix = self.get_fix(self.tokens)
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#def tokens(self, fix = "infix"):
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# """Get the list of tokens with the wanted fix
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setattr(self, fix+"_tokens", self.tokens)
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# :param fix: the fix wanted (infix default)
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# :returns: list of tokens
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# ----------------------
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# Expressions - tokens manipulation
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# """
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# # Si ce fix n'a pas encore été enregistré
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# if fix not in self._tokens:
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# # Il peut venir de la version string
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# if fix in self._string:
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# self._tokens[fix] = self.parseExp(self._string[fix])
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# # Sinon il faut le calculer à partir d'une autre forme
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# else:
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# fix_transfo = "to" + fix.capitalize()
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# getattr(self,fix_transfo)()
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@property
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def infix_tokens(self):
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""" Return infix list of tokens. Verify if it has already been computed and compute it if not
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# return self._tokens[fix]
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:returns: infix list of tokens
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"""
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if hasattr(self, "_infix_tokens"):
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return self._infix_tokens
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###### On en est là,il faudra faire attention à bien vérifier ce que les "to..." enregistre (string ou tokens)
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elif hasattr(self, "_postfix_tokens"):
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self.infix_tokens = self.post2in_fix()
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return self._infix_tokens
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#def string(self, fix = "infix"):
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# """Get the string with the wanted fix
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else:
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raise ValueError("Unkown fix")
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# :param fix: the fix wanted (infix default)
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# :returns: the string representing the expression
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@infix_tokens.setter
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def infix_tokens(self, val):
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self._infix_tokens = val
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# """
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# # Si ce fix n'a pas encore été enregistré
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# if fix not in self._string:
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# # Il peut venir de la version string
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# if fix in self._tokens:
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# self._string[fix] = self.parseExp(self._string[fix])
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# # Sinon il faut le calculer à partir d'une autre forme
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# else:
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# fix_transfo = "to" + fix.capitalize()
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# getattr(self,fix_transfo)()
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@property
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def postfix_tokens(self):
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""" Return postfix list of tokens. Verify if it has already been computed and compute it if not
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# return self._string[fix]
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#
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## ----------------------
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## "fix" tranformations
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:returns: postfix list of tokens
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"""
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if hasattr(self, "_postfix_tokens"):
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return self._postfix_tokens
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#def toPostfix(self):
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# """ Transorm the expression into postfix form using the infix form"""
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# pass
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elif hasattr(self,"_infix_tokens"):
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self.postfix_tokens = self.in2post_fix()
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return self._postfix_tokens
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#def toInfix(self):
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# """ Tranform the expression into infix form using postfix form"""
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# pass
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else:
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raise ValueError("Unkown fix")
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## ---------------------
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## Tools for placing parenthesis in infix notation
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@postfix_tokens.setter
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def postfix_tokens(self, val):
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self._postfix_tokens = val
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#def needPar(operande, operator, posi = "after"):
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# """ Says whether or not the operande needs parenthesis
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# ----------------------
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# "fix" tranformations
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# :param operande: the operande
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# :param operator: the operator
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# :param posi: "after"(default) if the operande will be after the operator, "before" othewise
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# :returns: bollean
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# """
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# if isNumber(operande) and "-" in operande:
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# return 1
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# elif not isNumber(operande):
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# # Si c'est une grande expression ou un chiffre négatif
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# stand_alone = get_main_op(operande)
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# # Si la priorité de l'operande est plus faible que celle de l'opérateur
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# minor_priority = self.priority[get_main_op(operande)] < self.priority[operator]
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# # Si l'opérateur est -/ pour after ou juste / pour before
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# special = (operator in "-/" and posi == "after") or (operator in "/" and posi == "before")
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def in2post_fix(self):
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""" From the self.infix_tokens list compute the corresponding self.postfix_tokens list """
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opStack = Stack()
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postfixList = []
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# return stand_alone and (minor_priority or special)
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# else:
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# return 0
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#
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# J'#aime pas bien cette endroit faudrait que ce soit une méthode qui s'applique uniquement à l'expression en question (self) pas à n'importe quel string, ça serait plus propre.
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#def get_main_op(exp):
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# """ Gives the main operation of the expression
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for token in self.infix_tokens:
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if token == "(":
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opStack.push(token)
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elif token == ")":
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topToken = opStack.pop()
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while topToken != "(":
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postfixList.append(topToken)
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topToken = opStack.pop()
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elif self.isOperator(token):
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# On doit ajouter la condition == str sinon python ne veut pas tester l'appartenance à la chaine de caractère.
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while (not opStack.isEmpty()) and (self.PRIORITY[opStack.peek()] >= self.PRIORITY[token]):
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postfixList.append(opStack.pop())
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opStack.push(token)
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else:
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postfixList.append(token)
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# :param exp: the expression
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# :returns: the main operation (+, -, * or /) or 0 if the expression is only one element
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while not opStack.isEmpty():
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postfixList.append(opStack.pop())
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# """
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# parStack = Stack()
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# tokenList = exp.split(" ")
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self.postfix_tokens = postfixList
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# if len(tokenList) == 1:
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# # Si l'expression n'est qu'un élément
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# return 0
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def post2in_fix(self):
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""" From the self.postfix_tokens list compute the corresponding self.infix_tokens list """
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operandeStack = Stack()
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# main_op = []
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for token in postfixTokens:
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if self.isOperator(token):
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op2 = operandeStack.pop()
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if self.needPar(op2, token, "after"):
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op2 = ["( ", op2, " )"]
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op1 = operandeStack.pop()
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if self.needPar(op1, token, "before"):
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op1 = ["( ", op1, " )"]
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res = [op1, token, op2]
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# for token in tokenList:
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# if token == "(":
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# parStack.push(token)
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# elif token == ")":
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# parStack.pop()
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# elif token in "+-*/" and parStack.isEmpty():
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# main_op.append(token)
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operandeStack.push(res)
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# return min(main_op, key = lambda s: priority[s])
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else:
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operandeStack.push(token)
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self.infix_tokens = flatten_list(operandeStack.pop())
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# ---------------------
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# Tools for placing parenthesis in infix notation
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@classmethod
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def needPar(self, operande, operator, posi = "after"):
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"""Says whether or not the operande needs parenthesis
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:param operande: the operande
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:param operator: the operator
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:param posi: "after"(default) if the operande will be after the operator, "before" othewise
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:returns: bollean
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"""
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if isNumber(operande) and operande < 0:
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return 1
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elif not isNumber(operande):
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# Si c'est une grande expression ou un chiffre négatif
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stand_alone = self.get_main_op(operande)
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# Si la priorité de l'operande est plus faible que celle de l'opérateur
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minor_priority = self.PRIORITY[self.get_main_op(operande)] < self.PRIORITY[operator]
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# Si l'opérateur est -/ pour after ou juste / pour before
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special = (operator in "-/" and posi == "after") or (operator in "/" and posi == "before")
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return stand_alone and (minor_priority or special)
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else:
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return 0
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@classmethod
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def get_main_op(self, tokens):
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"""Getting the main operation of the list of tokens
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:param exp: the list of tokens
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:returns: the main operation (+, -, * or /) or 0 if the expression is only one element
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"""
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parStack = Stack()
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if len(tokens) == 1:
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# Si l'expression n'est qu'un élément
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return 0
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main_op = []
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for token in tokens:
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if token == "(":
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parStack.push(token)
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elif token == ")":
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parStack.pop()
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elif self.isOperator(token) and parStack.isEmpty():
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main_op.append(token)
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return min(main_op, key = lambda s: self.PRIORITY[s])
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## ---------------------
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## Computing the expression
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#def compute(self):
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# """ Recursive method for computing as a student the expression
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# :returns: list of steps needed to reach the result
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@classmethod
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def doMath(self, op, op1, op2):
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"""Compute "op1 op op2" or create a fraction
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# """
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# pass
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#
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#def doMath(op, op1, op2):
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# """Compute "op1 op op2"
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:param op: operator
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:param op1: first operande
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:param op2: second operande
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:returns: string representing the result
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# :param op: operator
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# :param op1: first operande
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# :param op2: second operande
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# :returns: string representing the result
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"""
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operations = {"+": "__add__", "-": "__sub__", "*": "__mul__"}
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if op == "/":
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ans = [Fraction(op1, op2)]
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ans += ans[0].simplify()
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return ans
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else:
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return getattr(op1,operations[op])(op2)
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# """
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# return str(eval(op1 + op + op2))
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## ---------------------
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## Recognize numbers and operators
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@classmethod
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def isNumber(self, exp):
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"""Check if the expression can be a number
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:param exp: an expression
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:returns: True if the expression can be a number and false otherwise
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"""
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return type(exp) == int or type(exp) == Fraction
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@classmethod
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def isOperator(self, exp):
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"""Check if the expression is an opération in "+-*/"
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:param exp: an expression
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:returns: boolean
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"""
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return (type(exp) == str and exp in "+-*/")
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if __name__ == '__main__':
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a = Expression(10)
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a = Expression("10 + 1 * 3")
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for i in a.simplify():
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print(i)
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42
generic.py
42
generic.py
@ -57,6 +57,48 @@ class Stack(object):
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def __add__(self, addList):
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return self.items + addList
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def flatten_list(a, result=None):
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"""Flattens a nested list.
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>>> flatten_list([ [1, 2, [3, 4] ], [5, 6], 7])
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[1, 2, 3, 4, 5, 6, 7]
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"""
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if result is None:
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result = []
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for x in a:
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if isinstance(x, list):
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flatten_list(x, result)
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else:
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result.append(x)
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return result
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def expand_list(list_list):
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"""Expand list of list
|
||||
|
||||
>>> expand_list([1,2,[3,4],5,[6,7,8]])
|
||||
[[1, 2, 3, 5, 6], [1, 2, 4, 5, 7], [1, 2, 4, 5, 8]]
|
||||
>>> expand_list([1,2,4,5,6,7,8])
|
||||
[[1, 2, 4, 5, 6, 7, 8]]
|
||||
|
||||
"""
|
||||
list_in_list = [i for i in list_list if type(i) == list].copy()
|
||||
|
||||
try:
|
||||
nbr_ans_list = max([len(i) for i in list_in_list])
|
||||
|
||||
ans = [list_list.copy() for i in range(nbr_ans_list)]
|
||||
for (i,l) in enumerate(ans):
|
||||
for (j,e) in enumerate(l):
|
||||
if type(e) == list:
|
||||
ans[i][j] = e[min(i,len(e)-1)]
|
||||
# S'il n'y a pas eut d'étapes intermédiaires (2e exemple)
|
||||
except ValueError:
|
||||
ans = [list_list]
|
||||
|
||||
return ans
|
||||
# -----------------------------
|
||||
# Reglages pour 'vim'
|
||||
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
|
||||
|
||||
Loading…
Reference in New Issue
Block a user