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This commit is contained in:
Lafrite
parent
08f493ae79
commit
80bdd86297
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@ -3,26 +3,26 @@
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def gcd(a, b):
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def gcd(a, b):
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"""Compute gcd(a,b)
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"""Compute gcd(a,b)
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:param a: first number
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:param a: first number
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:param b: second number
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:param b: second number
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:returns: the gcd
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:returns: the gcd
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"""
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"""
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if a > b:
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if a > b:
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c = a % b
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c = a % b
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else:
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else:
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c = b % a
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c = b % a
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if c == 0:
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if c == 0:
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return min(a,b)
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return min(a,b)
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elif a == 1:
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elif a == 1:
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return b
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return b
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elif b == 1:
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elif b == 1:
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return a
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return a
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else:
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else:
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return gcd(min(a,b), c)
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return gcd(min(a,b), c)
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# -----------------------------
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# -----------------------------
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440
calculus.py
440
calculus.py
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@ -7,315 +7,315 @@ from generic import Stack
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def infixToPostfix(infixExp):
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def infixToPostfix(infixExp):
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"""Transform an infix expression into postfix expression
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"""Transform an infix expression into postfix expression
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:param infixExp: an infix expression (caracters must be separate by a space)
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:param infixExp: an infix expression (caracters must be separate by a space)
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:returns: the corresponding postfix expression
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:returns: the corresponding postfix expression
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:Example:
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:Example:
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>>> infixToPostfix("1 + 2")
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>>> infixToPostfix("1 + 2")
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'1 2 +'
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'1 2 +'
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>>> infixToPostfix("1 * 2 + 3")
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>>> infixToPostfix("1 * 2 + 3")
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'1 2 * 3 +'
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'1 2 * 3 +'
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"""
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"""
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priority = {"*" : 3, "/": 3, "+": 2, "-":2, "(": 1}
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priority = {"*" : 3, "/": 3, "+": 2, "-":2, "(": 1}
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opStack = Stack()
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opStack = Stack()
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postfixList = []
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postfixList = []
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tokenList = infixExp.split(" ")
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tokenList = infixExp.split(" ")
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for token in tokenList:
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for token in tokenList:
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if token == "(":
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if token == "(":
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opStack.push(token)
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opStack.push(token)
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elif token == ")":
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elif token == ")":
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topToken = opStack.pop()
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topToken = opStack.pop()
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while topToken != "(":
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while topToken != "(":
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postfixList.append(topToken)
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postfixList.append(topToken)
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topToken = opStack.pop()
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topToken = opStack.pop()
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elif token in "+-*/":
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elif token in "+-*/":
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while (not opStack.isEmpty()) and (priority[opStack.peek()] >= priority[token]):
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while (not opStack.isEmpty()) and (priority[opStack.peek()] >= priority[token]):
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postfixList.append(opStack.pop())
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postfixList.append(opStack.pop())
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opStack.push(token)
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opStack.push(token)
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else:
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else:
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postfixList.append(token)
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postfixList.append(token)
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while not opStack.isEmpty():
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while not opStack.isEmpty():
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postfixList.append(opStack.pop())
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postfixList.append(opStack.pop())
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return " ".join(postfixList)
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return " ".join(postfixList)
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def computePostfix(postfixExp):
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def computePostfix(postfixExp):
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"""Compute a postfix expression
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"""Compute a postfix expression
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:param postfixExp: a postfix expression
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:param postfixExp: a postfix expression
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:returns: the result of the expression
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:returns: the result of the expression
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"""
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"""
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print(postfixToInfix(postfixExp))
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print(postfixToInfix(postfixExp))
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# where to save numbers or
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# where to save numbers or
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operandeStack = Stack()
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operandeStack = Stack()
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tokenList = postfixExp.split(" ")
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tokenList = postfixExp.split(" ")
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for (i,token) in enumerate(tokenList):
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for (i,token) in enumerate(tokenList):
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if token in "+-*/":
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if token in "+-*/":
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op2 = operandeStack.pop()
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op2 = operandeStack.pop()
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op1 = operandeStack.pop()
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op1 = operandeStack.pop()
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res = doMath(token, op1, op2)
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res = doMath(token, op1, op2)
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operandeStack.push(res)
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operandeStack.push(res)
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#print("Operation: {op1} {op} {op2}".format(op1 = op1, op = token, op2 = op2))
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#print("Operation: {op1} {op} {op2}".format(op1 = op1, op = token, op2 = op2))
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#print(operandeStack)
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#print(operandeStack)
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#print(tokenList[i+1:])
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#print(tokenList[i+1:])
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newPostfix = " ".join(operandeStack + tokenList[i+1:])
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newPostfix = " ".join(operandeStack + tokenList[i+1:])
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print(postfixToInfix(newPostfix))
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print(postfixToInfix(newPostfix))
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else:
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else:
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operandeStack.push(token)
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operandeStack.push(token)
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return operandeStack.pop()
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return operandeStack.pop()
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def computePostfixBis(postfixExp):
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def computePostfixBis(postfixExp):
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"""Compute a postfix expression like a good student
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"""Compute a postfix expression like a good student
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:param postfixExp: a postfix expression
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:param postfixExp: a postfix expression
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:returns: the result of the expression
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:returns: the result of the expression
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"""
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"""
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print(postfixToInfix(postfixExp))
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print(postfixToInfix(postfixExp))
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# where to save numbers or
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# where to save numbers or
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operandeStack = Stack()
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operandeStack = Stack()
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tokenList = postfixExp.split(" ")
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tokenList = postfixExp.split(" ")
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# On fait le calcul jusqu'à n'avoir plus qu'un élément
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# On fait le calcul jusqu'à n'avoir plus qu'un élément
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while len(tokenList) > 1:
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while len(tokenList) > 1:
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tmpTokenList = []
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tmpTokenList = []
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# on va chercher les motifs du genre A B + pour les calculer
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# on va chercher les motifs du genre A B + pour les calculer
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while len(tokenList) > 2:
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while len(tokenList) > 2:
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if isNumber(tokenList[0]) and isNumber(tokenList[1]) and tokenList[2] in "+-*/":
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if isNumber(tokenList[0]) and isNumber(tokenList[1]) and tokenList[2] in "+-*/":
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# S'il y a une opération à faire
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# S'il y a une opération à faire
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op1 = tokenList[0]
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op1 = tokenList[0]
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op2 = tokenList[1]
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op2 = tokenList[1]
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token = tokenList[2]
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token = tokenList[2]
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res = doMath(token, op1, op2)
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res = doMath(token, op1, op2)
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tmpTokenList.append(res)
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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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# 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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del tokenList[0:3]
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else:
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else:
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tmpTokenList.append(tokenList[0])
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tmpTokenList.append(tokenList[0])
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del tokenList[0]
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del tokenList[0]
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tmpTokenList += tokenList
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tmpTokenList += tokenList
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tokenList = tmpTokenList.copy()
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tokenList = tmpTokenList.copy()
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print(postfixToInfix(" ".join(tokenList)))
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print(postfixToInfix(" ".join(tokenList)))
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return tokenList[0]
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return tokenList[0]
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def isNumber(exp):
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def isNumber(exp):
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"""Check if the expression can be a number
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"""Check if the expression can be a number
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:param exp: an expression
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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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:returns: True if the expression can be a number and false otherwise
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"""
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"""
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tokenList = exp.split(" ")
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tokenList = exp.split(" ")
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if len(tokenList) != 1:
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if len(tokenList) != 1:
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# si l'expression est trop longue pour être un chiffre
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# si l'expression est trop longue pour être un chiffre
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return 0
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return 0
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return exp.isdigit() or (exp[0] == "-" and exp[1:].isdigit())
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return exp.isdigit() or (exp[0] == "-" and exp[1:].isdigit())
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def doMath(op, op1, op2):
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def doMath(op, op1, op2):
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"""Compute "op1 op op2"
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"""Compute "op1 op op2"
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:param op: operator
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:param op: operator
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:param op1: first operande
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:param op1: first operande
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:param op2: second operande
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:param op2: second operande
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:returns: string representing the result
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:returns: string representing the result
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"""
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"""
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return str(eval(op1 + op + op2))
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return str(eval(op1 + op + op2))
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def postfixToInfix(postfixExp):
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def postfixToInfix(postfixExp):
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"""Transforme postfix expression into infix expression
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"""Transforme postfix expression into infix expression
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:param postfixExp: a postfix expression
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:param postfixExp: a postfix expression
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:returns: the corresponding infix expression
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:returns: the corresponding infix expression
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"""
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"""
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operandeStack = Stack()
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operandeStack = Stack()
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tokenList = postfixExp.split(" ")
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tokenList = postfixExp.split(" ")
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for (i,token) in enumerate(tokenList):
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for (i,token) in enumerate(tokenList):
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if token in "+-*/":
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if token in "+-*/":
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op2 = operandeStack.pop()
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op2 = operandeStack.pop()
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if needPar(op2, token, "after"):
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if needPar(op2, token, "after"):
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op2 = "( " + op2 + " )"
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op2 = "( " + op2 + " )"
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op1 = operandeStack.pop()
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op1 = operandeStack.pop()
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if needPar(op1, token, "before"):
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if needPar(op1, token, "before"):
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op1 = "( " + op1 + " )"
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op1 = "( " + op1 + " )"
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res = "{op1} {op} {op2}".format(op1 = op1, op = token, op2 = op2)
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res = "{op1} {op} {op2}".format(op1 = op1, op = token, op2 = op2)
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operandeStack.push(res)
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operandeStack.push(res)
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else:
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else:
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operandeStack.push(token)
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operandeStack.push(token)
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return operandeStack.pop()
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return operandeStack.pop()
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def needPar(operande, operator, posi = "after"):
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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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"""Says whether or not the operande needs parenthesis
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:param operande: the operande
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:param operande: the operande
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:param operator: the operator
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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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:param posi: "after"(default) if the operande will be after the operator, "before" othewise
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:returns: bollean
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:returns: bollean
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"""
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"""
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priority = {"*" : 3, "/": 3, "+": 2, "-":2}
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priority = {"*" : 3, "/": 3, "+": 2, "-":2}
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if isNumber(operande) and "-" in operande:
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if isNumber(operande) and "-" in operande:
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return 1
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return 1
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elif not isNumber(operande):
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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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# Si c'est une grande expression ou un chiffre négatif
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stand_alone = get_main_op(operande)
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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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# Si la priorité de l'operande est plus faible que celle de l'opérateur
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minor_priority = priority[get_main_op(operande)] < priority[operator]
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minor_priority = priority[get_main_op(operande)] < priority[operator]
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# Si l'opérateur est -/ pour after ou juste / pour before
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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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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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return stand_alone and (minor_priority or special)
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else:
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else:
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return 0
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return 0
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def get_main_op(exp):
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def get_main_op(exp):
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"""Getting the main operation of the expression
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"""Getting the main operation of the expression
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:param exp: the expression
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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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:returns: the main operation (+, -, * or /) or 0 if the expression is only one element
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"""
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"""
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priority = {"*" : 3, "/": 3, "+": 2, "-":2}
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priority = {"*" : 3, "/": 3, "+": 2, "-":2}
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parStack = Stack()
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parStack = Stack()
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tokenList = exp.split(" ")
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tokenList = exp.split(" ")
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if len(tokenList) == 1:
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if len(tokenList) == 1:
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# Si l'expression n'est qu'un élément
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# Si l'expression n'est qu'un élément
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return 0
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return 0
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main_op = []
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main_op = []
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for token in tokenList:
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for token in tokenList:
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if token == "(":
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if token == "(":
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parStack.push(token)
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parStack.push(token)
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elif token == ")":
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elif token == ")":
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parStack.pop()
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parStack.pop()
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elif token in "+-*/" and parStack.isEmpty():
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elif token in "+-*/" and parStack.isEmpty():
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main_op.append(token)
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main_op.append(token)
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return min(main_op, key = lambda s: priority[s])
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return min(main_op, key = lambda s: priority[s])
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def expand_list(list_list):
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def expand_list(list_list):
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"""Expand list of list
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"""Expand list of list
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:param list: the list to expande
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:param list: the list to expande
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:returns: list of expanded lists
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:returns: list of expanded lists
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:Example:
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:Example:
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>>> expand_list([1,2,[3,4],5,[6,7,8]])
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>>> expand_list([1,2,[3,4],5,[6,7,8]])
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[[1, 2, 3, 5, 6], [1, 2, 4, 5, 7], [1, 2, 4, 5, 8]]
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[[1, 2, 3, 5, 6], [1, 2, 4, 5, 7], [1, 2, 4, 5, 8]]
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"""
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"""
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list_in_list = [i for i in list_list if type(i) == list].copy()
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list_in_list = [i for i in list_list if type(i) == list].copy()
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nbr_ans_list = max([len(i) for i in list_in_list])
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nbr_ans_list = max([len(i) for i in list_in_list])
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ans = [list_list.copy() for i in range(nbr_ans_list)]
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ans = [list_list.copy() for i in range(nbr_ans_list)]
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for (i,l) in enumerate(ans):
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for (i,l) in enumerate(ans):
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for (j,e) in enumerate(l):
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for (j,e) in enumerate(l):
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if type(e) == list:
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if type(e) == list:
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ans[i][j] = e[min(i,len(e)-1)]
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ans[i][j] = e[min(i,len(e)-1)]
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return ans
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return ans
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def debug_var(name, var):
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def debug_var(name, var):
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"""print the name of the variable and the value
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"""print the name of the variable and the value
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:param name: the name of the variable
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:param name: the name of the variable
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:param var: the variable we want information
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:param var: the variable we want information
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"""
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"""
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print(name, ": ", var)
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print(name, ": ", var)
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def test(exp):
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def test(exp):
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"""Make various test on an expression
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"""Make various test on an expression
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"""
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"""
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print("-------------")
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print("-------------")
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print("Expression ",exp)
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print("Expression ",exp)
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postfix = infixToPostfix(exp)
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postfix = infixToPostfix(exp)
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#print("Postfix " , postfix)
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#print("Postfix " , postfix)
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#print(computePostfix(postfix))
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#print(computePostfix(postfix))
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#print("Bis")
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#print("Bis")
|
||||||
print(computePostfixBis(postfix))
|
print(computePostfixBis(postfix))
|
||||||
#print(postfixToInfix(postfix))
|
#print(postfixToInfix(postfix))
|
||||||
#print(get_main_op(exp))
|
#print(get_main_op(exp))
|
||||||
|
|
||||||
|
|
||||||
if __name__ == '__main__':
|
if __name__ == '__main__':
|
||||||
#exp = "1 + 3 * 5"
|
#exp = "1 + 3 * 5"
|
||||||
#test(exp)
|
#test(exp)
|
||||||
|
|
||||||
#exp = "2 * 3 * 3 * 5"
|
#exp = "2 * 3 * 3 * 5"
|
||||||
#test(exp)
|
#test(exp)
|
||||||
|
|
||||||
#exp = "2 * 3 + 3 * 5"
|
#exp = "2 * 3 + 3 * 5"
|
||||||
#test(exp)
|
#test(exp)
|
||||||
|
|
||||||
#exp = "2 * ( 3 + 4 ) + 3 * 5"
|
#exp = "2 * ( 3 + 4 ) + 3 * 5"
|
||||||
#test(exp)
|
#test(exp)
|
||||||
#
|
#
|
||||||
#exp = "2 * ( 3 + 4 ) + ( 3 - 4 ) * 5"
|
#exp = "2 * ( 3 + 4 ) + ( 3 - 4 ) * 5"
|
||||||
#test(exp)
|
#test(exp)
|
||||||
#
|
#
|
||||||
#exp = "2 * ( 2 - ( 3 + 4 ) ) + ( 3 - 4 ) * 5"
|
#exp = "2 * ( 2 - ( 3 + 4 ) ) + ( 3 - 4 ) * 5"
|
||||||
#test(exp)
|
#test(exp)
|
||||||
#
|
#
|
||||||
#exp = "2 * ( 2 - ( 3 + 4 ) ) + 5 * ( 3 - 4 )"
|
#exp = "2 * ( 2 - ( 3 + 4 ) ) + 5 * ( 3 - 4 )"
|
||||||
#test(exp)
|
#test(exp)
|
||||||
#
|
#
|
||||||
#exp = "2 + 5 * ( 3 - 4 )"
|
#exp = "2 + 5 * ( 3 - 4 )"
|
||||||
#test(exp)
|
#test(exp)
|
||||||
#
|
#
|
||||||
#exp = "( 2 + 5 ) * ( 3 - 4 )"
|
#exp = "( 2 + 5 ) * ( 3 - 4 )"
|
||||||
#test(exp)
|
#test(exp)
|
||||||
#
|
#
|
||||||
#exp = "( 2 + 5 ) * ( 3 * 4 )"
|
#exp = "( 2 + 5 ) * ( 3 * 4 )"
|
||||||
#test(exp)
|
#test(exp)
|
||||||
#
|
#
|
||||||
#exp = "( 2 + 5 ) / ( 3 * 4 )"
|
#exp = "( 2 + 5 ) / ( 3 * 4 )"
|
||||||
#test(exp)
|
#test(exp)
|
||||||
|
|
||||||
#print(expand_list([1,2,['a','b','c'], 3, ['d','e']]))
|
#print(expand_list([1,2,['a','b','c'], 3, ['d','e']]))
|
||||||
|
|
||||||
## Ce denier pose un soucis. Pour le faire marcher il faudrai implémenter le calcul avec les fractions
|
## Ce denier pose un soucis. Pour le faire marcher il faudrai implémenter le calcul avec les fractions
|
||||||
#exp = "( 2 + 5 ) / 3 * 4"
|
#exp = "( 2 + 5 ) / 3 * 4"
|
||||||
#test(exp)
|
#test(exp)
|
||||||
import doctest
|
import doctest
|
||||||
doctest.testmod()
|
doctest.testmod()
|
||||||
|
|
||||||
|
|
||||||
# -----------------------------
|
# -----------------------------
|
||||||
|
|
|
||||||
271
fraction.py
271
fraction.py
|
|
@ -5,184 +5,185 @@ from calculus import isNumber
|
||||||
from arithmetic import gcd
|
from arithmetic import gcd
|
||||||
|
|
||||||
class Fraction(object):
|
class Fraction(object):
|
||||||
"""Fractions!"""
|
"""Fractions!"""
|
||||||
|
|
||||||
def __init__(self, num, denom = 1):
|
def __init__(self, num, denom = 1):
|
||||||
"""To initiate a fraction we need a numerator and a denominator
|
"""To initiate a fraction we need a numerator and a denominator
|
||||||
|
|
||||||
:param num: the numerator
|
:param num: the numerator
|
||||||
:param denom: the denominator
|
:param denom: the denominator
|
||||||
|
|
||||||
"""
|
"""
|
||||||
self._num = num
|
self._num = num
|
||||||
self._denom = denom
|
self._denom = denom
|
||||||
|
|
||||||
def simplify(self):
|
def simplify(self):
|
||||||
"""Simplify the fraction
|
"""Simplify the fraction
|
||||||
|
|
||||||
:returns: steps to simplify the fraction or the fraction if there is nothing to do
|
:returns: steps to simplify the fraction or the fraction if there is nothing to do
|
||||||
"""
|
"""
|
||||||
steps = [str(self)]
|
steps = [str(self)]
|
||||||
|
|
||||||
if self._denom < 0:
|
if self._denom < 0:
|
||||||
self._num = - self._num
|
self._num = - self._num
|
||||||
self._denom = - self._denom
|
self._denom = - self._denom
|
||||||
steps += [str(self)]
|
steps += [str(self)]
|
||||||
|
|
||||||
gcd_ = gcd(abs(self._num), abs(self._denom))
|
gcd_ = gcd(abs(self._num), abs(self._denom))
|
||||||
if self._num == self._denom:
|
if self._num == self._denom:
|
||||||
self._num = 1
|
self._num = 1
|
||||||
self._denom = 1
|
self._denom = 1
|
||||||
steps += [str(self)]
|
steps += [str(self)]
|
||||||
elif gcd_ != 1:
|
|
||||||
|
|
||||||
self._num, self._denom = self._num // gcd_ , self._denom // gcd_
|
elif gcd_ != 1:
|
||||||
steps += ["( {reste1} * {gcd} ) / ( {reste2} * {gcd} )".format(reste1 = self._num, reste2 = self._denom, gcd = gcd_)]
|
self._num, self._denom = self._num // gcd_ , self._denom // gcd_
|
||||||
steps += [str(self)]
|
steps += ["( {reste1} * {gcd} ) / ( {reste2} * {gcd} )".format(reste1 = self._num, reste2 = self._denom, gcd = gcd_)]
|
||||||
return steps
|
steps += [str(self)]
|
||||||
|
|
||||||
def __str__(self):
|
return steps
|
||||||
if self._denom == 1:
|
|
||||||
return str(self._num)
|
|
||||||
else:
|
|
||||||
return str(self._num) + " / " + str(self._denom)
|
|
||||||
|
|
||||||
def __add__(self, other):
|
def __str__(self):
|
||||||
if type(other) == Fraction:
|
if self._denom == 1:
|
||||||
#cool
|
return str(self._num)
|
||||||
number = other
|
else:
|
||||||
else:
|
return str(self._num) + " / " + str(self._denom)
|
||||||
number = Fraction(other)
|
|
||||||
|
|
||||||
steps = ["{frac1} + {frac2}".format(frac1 = self, frac2 = number)]
|
def __add__(self, other):
|
||||||
|
if type(other) == Fraction:
|
||||||
|
#cool
|
||||||
|
number = other
|
||||||
|
else:
|
||||||
|
number = Fraction(other)
|
||||||
|
|
||||||
if self._denom == number._denom:
|
steps = ["{frac1} + {frac2}".format(frac1 = self, frac2 = number)]
|
||||||
com_denom = self._denom
|
|
||||||
num1 = self._num
|
|
||||||
num2 = number._num
|
|
||||||
|
|
||||||
else:
|
if self._denom == number._denom:
|
||||||
gcd_denom = gcd(self._denom, number._denom)
|
com_denom = self._denom
|
||||||
coef1 = number._denom // gcd_denom
|
num1 = self._num
|
||||||
coef2 = self._denom // gcd_denom
|
num2 = number._num
|
||||||
|
|
||||||
steps += ["( {num1} * {coef1} ) / ( {den1} * {coef1} ) + ( {num2} * {coef2} ) / ( {den2} * {coef2} )".format(num1 = self._num, den1 = self._denom, coef1 = coef1, num2 = number._num, den2 = number._denom, coef2 = coef2)]
|
else:
|
||||||
|
gcd_denom = gcd(self._denom, number._denom)
|
||||||
|
coef1 = number._denom // gcd_denom
|
||||||
|
coef2 = self._denom // gcd_denom
|
||||||
|
|
||||||
com_denom = self._denom * coef1
|
steps += ["( {num1} * {coef1} ) / ( {den1} * {coef1} ) + ( {num2} * {coef2} ) / ( {den2} * {coef2} )".format(num1 = self._num, den1 = self._denom, coef1 = coef1, num2 = number._num, den2 = number._denom, coef2 = coef2)]
|
||||||
num1 = self._num * coef1
|
|
||||||
num2 = number._num * coef2
|
|
||||||
|
|
||||||
steps += ["( {num1} + {num2} ) / {denom}".format(num1 = num1, num2 = num2, denom = com_denom)]
|
com_denom = self._denom * coef1
|
||||||
|
num1 = self._num * coef1
|
||||||
|
num2 = number._num * coef2
|
||||||
|
|
||||||
num = num1 + num2
|
steps += ["( {num1} + {num2} ) / {denom}".format(num1 = num1, num2 = num2, denom = com_denom)]
|
||||||
|
|
||||||
ans_frac = Fraction(num, com_denom)
|
num = num1 + num2
|
||||||
steps += ans_frac.simplify()
|
|
||||||
|
|
||||||
return steps
|
ans_frac = Fraction(num, com_denom)
|
||||||
|
steps += ans_frac.simplify()
|
||||||
|
|
||||||
def __sub__(self, other):
|
return steps
|
||||||
if type(other) == Fraction:
|
|
||||||
#cool
|
|
||||||
number = other
|
|
||||||
else:
|
|
||||||
number = Fraction(other)
|
|
||||||
|
|
||||||
steps = ["{frac1} - {frac2}".format(frac1 = self, frac2 = number)]
|
def __sub__(self, other):
|
||||||
|
if type(other) == Fraction:
|
||||||
|
#cool
|
||||||
|
number = other
|
||||||
|
else:
|
||||||
|
number = Fraction(other)
|
||||||
|
|
||||||
if self._denom == number._denom:
|
steps = ["{frac1} - {frac2}".format(frac1 = self, frac2 = number)]
|
||||||
com_denom = self._denom
|
|
||||||
num1 = self._num
|
|
||||||
num2 = number._num
|
|
||||||
|
|
||||||
else:
|
if self._denom == number._denom:
|
||||||
gcd_denom = gcd(self._denom, number._denom)
|
com_denom = self._denom
|
||||||
coef1 = number._denom // gcd_denom
|
num1 = self._num
|
||||||
coef2 = self._denom // gcd_denom
|
num2 = number._num
|
||||||
|
|
||||||
steps += ["( {num1} * {coef1} ) / ( {den1} * {coef1} ) - ( {num2} * {coef2} ) / ( {den2} * {coef2} )".format(num1 = self._num, den1 = self._denom, coef1 = coef1, num2 = number._num, den2 = number._denom, coef2 = coef2)]
|
else:
|
||||||
|
gcd_denom = gcd(self._denom, number._denom)
|
||||||
|
coef1 = number._denom // gcd_denom
|
||||||
|
coef2 = self._denom // gcd_denom
|
||||||
|
|
||||||
com_denom = self._denom * coef1
|
steps += ["( {num1} * {coef1} ) / ( {den1} * {coef1} ) - ( {num2} * {coef2} ) / ( {den2} * {coef2} )".format(num1 = self._num, den1 = self._denom, coef1 = coef1, num2 = number._num, den2 = number._denom, coef2 = coef2)]
|
||||||
num1 = self._num * coef1
|
|
||||||
num2 = number._num * coef2
|
|
||||||
|
|
||||||
steps += ["( {num1} - {num2} ) / {denom}".format(num1 = num1, num2 = num2, denom = com_denom)]
|
com_denom = self._denom * coef1
|
||||||
|
num1 = self._num * coef1
|
||||||
|
num2 = number._num * coef2
|
||||||
|
|
||||||
num = num1 - num2
|
steps += ["( {num1} - {num2} ) / {denom}".format(num1 = num1, num2 = num2, denom = com_denom)]
|
||||||
|
|
||||||
ans_frac = Fraction(num, com_denom)
|
num = num1 - num2
|
||||||
steps += ans_frac.simplify()
|
|
||||||
|
|
||||||
return steps
|
ans_frac = Fraction(num, com_denom)
|
||||||
|
steps += ans_frac.simplify()
|
||||||
|
|
||||||
def __mul__(self, other):
|
return steps
|
||||||
if type(other) == Fraction:
|
|
||||||
#cool
|
|
||||||
number = other
|
|
||||||
else:
|
|
||||||
number = Fraction(other)
|
|
||||||
|
|
||||||
steps = ["( {frac1} ) * ( {frac2} )".format(frac1 = self, frac2 = number)]
|
def __mul__(self, other):
|
||||||
steps += ["( {num1} * {num2} ) / ( {denom1} * {denom2} )".format(num1 = self._num, num2 = number._num, denom1 = self._denom, denom2 = number._denom)]
|
if type(other) == Fraction:
|
||||||
|
#cool
|
||||||
|
number = other
|
||||||
|
else:
|
||||||
|
number = Fraction(other)
|
||||||
|
|
||||||
num = self._num * number._num
|
steps = ["( {frac1} ) * ( {frac2} )".format(frac1 = self, frac2 = number)]
|
||||||
denom = self._denom * number._denom
|
steps += ["( {num1} * {num2} ) / ( {denom1} * {denom2} )".format(num1 = self._num, num2 = number._num, denom1 = self._denom, denom2 = number._denom)]
|
||||||
|
|
||||||
ans_frac = Fraction(num, denom)
|
num = self._num * number._num
|
||||||
steps += ans_frac.simplify()
|
denom = self._denom * number._denom
|
||||||
|
|
||||||
return steps
|
ans_frac = Fraction(num, denom)
|
||||||
|
steps += ans_frac.simplify()
|
||||||
|
|
||||||
def __truediv__(self, other):
|
return steps
|
||||||
if type(other) == Fraction:
|
|
||||||
#cool
|
|
||||||
number = other
|
|
||||||
else:
|
|
||||||
number = Fraction(other)
|
|
||||||
|
|
||||||
steps = ["( {frac1} ) / ( {frac2} )".format(frac1 = self, frac2 = number)]
|
def __truediv__(self, other):
|
||||||
number = Fraction(number._denom, number._num)
|
if type(other) == Fraction:
|
||||||
steps += self * number
|
#cool
|
||||||
|
number = other
|
||||||
|
else:
|
||||||
|
number = Fraction(other)
|
||||||
|
|
||||||
return steps
|
steps = ["( {frac1} ) / ( {frac2} )".format(frac1 = self, frac2 = number)]
|
||||||
|
number = Fraction(number._denom, number._num)
|
||||||
|
steps += self * number
|
||||||
|
|
||||||
|
return steps
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
if __name__ == '__main__':
|
if __name__ == '__main__':
|
||||||
f = Fraction(34, 12)
|
f = Fraction(34, 12)
|
||||||
g = Fraction(1,5)
|
g = Fraction(1,5)
|
||||||
h = Fraction(-1,5)
|
h = Fraction(-1,5)
|
||||||
t = Fraction(-4,5)
|
t = Fraction(-4,5)
|
||||||
print("---------")
|
print("---------")
|
||||||
for i in (f - 1):
|
for i in (f - 1):
|
||||||
print(i)
|
print(i)
|
||||||
print("---------")
|
print("---------")
|
||||||
for i in (f + 1):
|
for i in (f + 1):
|
||||||
print(i)
|
print(i)
|
||||||
print("---------")
|
print("---------")
|
||||||
for i in (f + g):
|
for i in (f + g):
|
||||||
print(i)
|
print(i)
|
||||||
print("---------")
|
print("---------")
|
||||||
for i in (f - g):
|
for i in (f - g):
|
||||||
print(i)
|
print(i)
|
||||||
print("---------")
|
print("---------")
|
||||||
for i in (f * g):
|
for i in (f * g):
|
||||||
print(i)
|
print(i)
|
||||||
print("---------")
|
print("---------")
|
||||||
for i in (h + t):
|
for i in (h + t):
|
||||||
print(i)
|
print(i)
|
||||||
print("---------")
|
print("---------")
|
||||||
for i in (h - t):
|
for i in (h - t):
|
||||||
print(i)
|
print(i)
|
||||||
print("---------")
|
print("---------")
|
||||||
for i in (h * t):
|
for i in (h * t):
|
||||||
print(i)
|
print(i)
|
||||||
print("---------")
|
print("---------")
|
||||||
for i in (h / t):
|
for i in (h / t):
|
||||||
print(i)
|
print(i)
|
||||||
|
|
||||||
#print(f.simplify())
|
#print(f.simplify())
|
||||||
|
|
||||||
# -----------------------------
|
# -----------------------------
|
||||||
# Reglages pour 'vim'
|
# Reglages pour 'vim'
|
||||||
|
|
|
||||||
74
generic.py
74
generic.py
|
|
@ -3,59 +3,59 @@
|
||||||
|
|
||||||
|
|
||||||
class Stack(object):
|
class Stack(object):
|
||||||
"""Docstring for Stack """
|
"""Docstring for Stack """
|
||||||
|
|
||||||
def __init__(self):
|
def __init__(self):
|
||||||
"""@todo: to be defined1 """
|
"""@todo: to be defined1 """
|
||||||
self.items = []
|
self.items = []
|
||||||
|
|
||||||
def pushFromList(self, list):
|
def pushFromList(self, list):
|
||||||
"""Push the list in the stack
|
"""Push the list in the stack
|
||||||
|
|
||||||
:param list: a list
|
:param list: a list
|
||||||
"""
|
"""
|
||||||
for i in list[::-1]:
|
for i in list[::-1]:
|
||||||
self.push(i)
|
self.push(i)
|
||||||
|
|
||||||
def isEmpty(self):
|
def isEmpty(self):
|
||||||
""" Says if the stack is empty
|
""" Says if the stack is empty
|
||||||
:returns: @todo
|
:returns: @todo
|
||||||
|
|
||||||
"""
|
"""
|
||||||
return self.items == []
|
return self.items == []
|
||||||
|
|
||||||
def push(self, item):
|
def push(self, item):
|
||||||
"""Push an item in the stack
|
"""Push an item in the stack
|
||||||
|
|
||||||
:param item: @todo
|
:param item: @todo
|
||||||
:returns: @todo
|
:returns: @todo
|
||||||
|
|
||||||
"""
|
"""
|
||||||
self.items.append(item)
|
self.items.append(item)
|
||||||
|
|
||||||
def pop(self):
|
def pop(self):
|
||||||
"""Getting the last item and remove it
|
"""Getting the last item and remove it
|
||||||
:returns: last item
|
:returns: last item
|
||||||
|
|
||||||
"""
|
"""
|
||||||
return self.items.pop()
|
return self.items.pop()
|
||||||
|
|
||||||
def peek(self, posi = 0):
|
def peek(self, posi = 0):
|
||||||
"""Getting the last item
|
"""Getting the last item
|
||||||
:param posi: which item to peek 0 (last) 1 (the onebefore the last)...
|
:param posi: which item to peek 0 (last) 1 (the onebefore the last)...
|
||||||
:returns: the item
|
:returns: the item
|
||||||
|
|
||||||
"""
|
"""
|
||||||
return self.items[-1 - posi]
|
return self.items[-1 - posi]
|
||||||
|
|
||||||
def __len__(self):
|
def __len__(self):
|
||||||
return len(self.items)
|
return len(self.items)
|
||||||
|
|
||||||
def __str__(self):
|
def __str__(self):
|
||||||
return str(self.items) + " -> "
|
return str(self.items) + " -> "
|
||||||
|
|
||||||
def __add__(self, addList):
|
def __add__(self, addList):
|
||||||
return self.items + addList
|
return self.items + addList
|
||||||
|
|
||||||
# -----------------------------
|
# -----------------------------
|
||||||
# Reglages pour 'vim'
|
# Reglages pour 'vim'
|
||||||
|
|
|
||||||
Loading…
Reference in New Issue