no more string in expression manipulation only list of tokens. That's
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Lafrite
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0423412e6b
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b2d8991107
138
calculus.py
138
calculus.py
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@ -4,31 +4,41 @@
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from generic import Stack
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def str2tokens(exp):
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"""Convert an expression into a list of tokens
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:param exp: The expression
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:returns: the list of tokens
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def infixToPostfix(infixExp):
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"""Transform an infix expression into postfix expression
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>>> str2tokens("1 + 2")
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['1', '+', '2']
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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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"""
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return exp.split(" ")
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def infixToPostfix(infixTokens):
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"""Transform an infix list of tokens into postfix tokens
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:param infixTokens: an infix list of tokens
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:returns: the corresponding postfix list of tokens
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:Example:
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>>> infixToPostfix("1 + 2")
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'1 2 +'
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>>> infixToPostfix("1 * 2 + 3")
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'1 2 * 3 +'
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>>> infixToPostfix([1, "+", 2])
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[1, 2, '+']
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>>> infixToPostfix([1, "*", 2, "+", 3])
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[1, 2, '*', 3, '+']
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"""
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priority = {"*" : 3, "/": 3, "+": 2, "-":2, "(": 1}
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opStack = Stack()
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postfixList = []
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tokenList = infixExp.split(" ")
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#infixTokens = infixExp.split(" ")
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for token in tokenList:
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for token in infixTokens:
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if token == "(":
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opStack.push(token)
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elif token == ")":
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@ -36,7 +46,8 @@ def infixToPostfix(infixExp):
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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 token in "+-*/":
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elif type(token) == str and token in "+-*/":
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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 (priority[opStack.peek()] >= priority[token]):
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postfixList.append(opStack.pop())
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opStack.push(token)
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@ -46,22 +57,22 @@ def infixToPostfix(infixExp):
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while not opStack.isEmpty():
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postfixList.append(opStack.pop())
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return " ".join(postfixList)
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return postfixList
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def computePostfix(postfixExp):
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"""Compute a postfix expression
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def computePostfix(postfixTokens):
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"""Compute a postfix list of tokens
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:param postfixExp: a postfix expression
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:returns: the result of the expression
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:param postfixTokens: a postfix list of tokens
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:returns: the result of the calculus
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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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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(postfixTokens):
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if token in "+-*/":
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op2 = operandeStack.pop()
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op1 = operandeStack.pop()
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@ -70,8 +81,8 @@ def computePostfix(postfixExp):
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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(tokenList[i+1:])
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newPostfix = " ".join(operandeStack + tokenList[i+1:])
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#print(postfixTokens[i+1:])
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newPostfix = " ".join(operandeStack + postfixTokens[i+1:])
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print(postfixToInfix(newPostfix))
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else:
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@ -79,18 +90,19 @@ def computePostfix(postfixExp):
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return operandeStack.pop()
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def computePostfixBis(postfixExp):
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"""Compute a postfix expression like a good student
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def computePostfixBis(postfixTokens):
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"""Compute a postfix list of tokens like a good student
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:param postfixExp: a postfix expression
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:param postfixTokens: a postfix list of tokens
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:returns: the result of the expression
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"""
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print(postfixToInfix(postfixExp))
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#print(postfixToInfix(postfixTokens))
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# where to save numbers or
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operandeStack = Stack()
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tokenList = postfixExp.split(" ")
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#tokenList = postfixExp.split(" ")
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tokenList = postfixTokens.copy()
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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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@ -115,7 +127,7 @@ def computePostfixBis(postfixExp):
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tmpTokenList += tokenList
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tokenList = expand_list(tmpTokenList)
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print(postfixToInfix(" ".join(tokenList)))
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print(postfixToInfix(tokenList))
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return tokenList[0]
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@ -145,18 +157,20 @@ def doMath(op, op1, op2):
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return str(eval(op1 + op + op2))
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def postfixToInfix(postfixExp):
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"""Transforme postfix expression into infix expression
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def postfixToInfix(postfixTokens):
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"""Transforme postfix list of tokens into infix list of tokens
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:param postfixExp: a postfix expression
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:returns: the corresponding infix expression
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:param postfixTokens: a postfix list of tokens
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:returns: the corresponding infix list of tokens
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"""
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operandeStack = Stack()
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tokenList = postfixExp.split(" ")
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#print(postfixTokens)
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for (i,token) in enumerate(tokenList):
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#tokenList = postfixExp.split(" ")
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for (i,token) in enumerate(postfixTokens):
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if token in "+-*/":
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op2 = operandeStack.pop()
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if needPar(op2, token, "after"):
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@ -181,6 +195,7 @@ def needPar(operande, operator, posi = "after"):
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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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priority = {"*" : 3, "/": 3, "+": 2, "-":2}
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if isNumber(operande) and "-" in operande:
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@ -197,10 +212,10 @@ def needPar(operande, operator, posi = "after"):
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else:
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return 0
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def get_main_op(exp):
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"""Getting the main operation of the expression
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def get_main_op(tokens):
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"""Getting the main operation of the list of tokens
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:param exp: the expression
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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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@ -208,15 +223,15 @@ def get_main_op(exp):
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priority = {"*" : 3, "/": 3, "+": 2, "-":2}
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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(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 tokenList:
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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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@ -273,7 +288,8 @@ def test(exp):
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"""
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print("-------------")
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print("Expression ",exp)
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postfix = infixToPostfix(exp)
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tokens = str2tokens(exp)
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postfix = infixToPostfix(tokens)
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#print("Postfix " , postfix)
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#print(computePostfix(postfix))
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#print("Bis")
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@ -283,27 +299,27 @@ def test(exp):
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if __name__ == '__main__':
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#exp = "1 + 3 * 5"
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#test(exp)
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exp = "1 + 3 * 5"
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test(exp)
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#exp = "2 * 3 * 3 * 5"
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#test(exp)
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exp = "2 * 3 * 3 * 5"
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test(exp)
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#exp = "2 * 3 + 3 * 5"
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#test(exp)
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exp = "2 * 3 + 3 * 5"
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test(exp)
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exp = "2 * ( 3 + 4 ) + 3 * 5"
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test(exp)
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exp = "2 * ( 3 + 4 ) + ( 3 - 4 ) * 5"
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test(exp)
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exp = "2 * ( 2 - ( 3 + 4 ) ) + ( 3 - 4 ) * 5"
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test(exp)
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exp = "2 * ( 2 - ( 3 + 4 ) ) + 5 * ( 3 - 4 )"
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test(exp)
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#exp = "2 * ( 3 + 4 ) + 3 * 5"
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#test(exp)
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#
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#exp = "2 * ( 3 + 4 ) + ( 3 - 4 ) * 5"
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#test(exp)
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#
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#exp = "2 * ( 2 - ( 3 + 4 ) ) + ( 3 - 4 ) * 5"
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#test(exp)
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#
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#exp = "2 * ( 2 - ( 3 + 4 ) ) + 5 * ( 3 - 4 )"
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#test(exp)
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#
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exp = "2 + 5 * ( 3 - 4 )"
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test(exp)
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@ -321,8 +337,8 @@ if __name__ == '__main__':
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## Ce denier pose un soucis. Pour le faire marcher il faudrai implémenter le calcul avec les fractions
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#exp = "( 2 + 5 ) / 3 * 4"
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#test(exp)
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#import doctest
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#doctest.testmod()
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import doctest
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doctest.testmod()
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# -----------------------------
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