j'ai fait de la grosse merde! mais tout est rattrapé! Reste plus qu'à
nettoyer et ranger tout ranger correctement Conflicts: calculus.py
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Lafrite
parent
ec3e4d34d2
commit
90d5cbee75
121
calculus.py
121
calculus.py
@ -92,7 +92,7 @@ def computePostfix(postfixTokens):
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#print(operandeStack)
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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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#print(postfixToInfix(newPostfix))
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else:
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operandeStack.push(token)
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@ -113,6 +113,8 @@ def computePostfixBis(postfixTokens):
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#tokenList = postfixExp.split(" ")
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tokenList = postfixTokens.copy()
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steps = []
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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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tmpTokenList = []
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@ -123,6 +125,7 @@ def computePostfixBis(postfixTokens):
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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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@ -135,10 +138,14 @@ def computePostfixBis(postfixTokens):
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del tokenList[0]
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tmpTokenList += tokenList
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tokenList = expand_list(tmpTokenList)
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print(postfixToInfix(tokenList))
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return tokenList[0]
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steps += expand_list(tmpTokenList)
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tokenList = steps[-1].copy()
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#print(postfixToInfix(tokenList))
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return steps
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def isNumber(exp):
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"""Check if the expression can be a number
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@ -147,7 +154,7 @@ def isNumber(exp):
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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
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return type(exp) == int or type(exp) == Fraction
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def isOperation(exp):
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"""Check if the expression is an opération in "+-*/"
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@ -170,17 +177,19 @@ def doMath(op, op1, op2):
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"""
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operations = {"+": "__add__", "-": "__sub__", "*": "__mul__"}
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if op == "/":
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return Fraction(op1,op2)
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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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def postfixToInfix(postfixTokens):
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"""Transforme postfix list of tokens into infix list of tokens
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"""Transforms postfix list of tokens into infix string
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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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:returns: the corresponding infix string
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"""
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operandeStack = Stack()
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@ -223,6 +232,8 @@ def needPar(operande, operator, posi = "after"):
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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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#debug_var("stand_alone",stand_alone)
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#debug_var("operande", type(operande))
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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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special = (operator in "-/" and posi == "after") or (operator in "/" and posi == "before")
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@ -272,7 +283,7 @@ def expand_list(list_list):
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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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>>> expand_list([1,2,4,5,6,7,8])
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[1, 2, 4, 5, 6, 7, 8]
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[[1, 2, 4, 5, 6, 7, 8]]
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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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@ -287,10 +298,32 @@ def expand_list(list_list):
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ans[i][j] = e[min(i,len(e)-1)]
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# S'il n'y a pas eut d'étapes intermédiaires (2e exemple)
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except ValueError:
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ans = list_list
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ans = [list_list]
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return ans
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def print_steps(steps):
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"""Juste print a list
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:param steps: @todo
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:returns: @todo
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"""
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print("{first} \t = {sec}".format(first = str_from_postfix(steps[0]), sec = str_from_postfix(steps[1])))
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for i in steps[2:]:
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print("\t\t = {i}".format(i=str_from_postfix(i)))
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def str_from_postfix(postfix):
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"""Return the string representing the expression
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:param postfix: a postfix ordered list of tokens
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:returns: the corresponding string expression
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"""
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infix = postfixToInfix(postfix)
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return infix
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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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@ -312,43 +345,55 @@ def test(exp):
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#print("Postfix " , postfix)
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#print(computePostfix(postfix))
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#print("Bis")
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print(computePostfixBis(postfix))
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steps = [postfix]
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steps += computePostfixBis(postfix)
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print(steps)
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print_steps(steps)
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#print(postfixToInfix(postfix))
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#print(get_main_op(exp))
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if __name__ == '__main__':
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exp = "1 + 3 * 5"
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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 + 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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#
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#exp = "( 2 + 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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#exp = "( 2 + 5 - 1 ) / ( 3 * 4 )"
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#test(exp)
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exp = "( 2 + 5 ) / ( 3 * 4 ) + 1 / 12"
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test(exp)
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exp = "2 * 3 * 3 * 5"
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exp = "( 2 + 5 ) / ( 3 * 4 ) + 1 / 2"
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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 + 5 * ( 3 - 4 )"
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test(exp)
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exp = "( 2 + 5 ) * ( 3 - 4 )"
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test(exp)
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exp = "( 2 + 5 ) * ( 3 * 4 )"
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test(exp)
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exp = "( 2 + 5 - 1 ) / ( 3 * 4 )"
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exp = "( 2 + 5 ) / ( 3 * 4 ) + 1 / 12 + 5 * 5"
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test(exp)
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#print(expand_list([1,2,['a','b','c'], 3, ['d','e']]))
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87
fraction.py
87
fraction.py
@ -21,23 +21,25 @@ class Fraction(object):
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:returns: steps to simplify the fraction or the fraction if there is nothing to do
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"""
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steps = [str(self)]
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steps = []
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if self._denom < 0:
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self._num = - self._num
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self._denom = - self._denom
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steps += [str(self)]
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steps.append(self)
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gcd_ = gcd(abs(self._num), abs(self._denom))
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if self._num == self._denom:
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self._num = 1
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self._denom = 1
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steps += [str(self)]
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steps.append(self)
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elif gcd_ != 1:
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self._num, self._denom = self._num // gcd_ , self._denom // gcd_
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steps += ["( {reste1} * {gcd} ) / ( {reste2} * {gcd} )".format(reste1 = self._num, reste2 = self._denom, gcd = gcd_)]
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steps += [str(self)]
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steps.append("( {reste1} * {gcd} ) / ( {reste2} * {gcd} )".format(reste1 = self._num, reste2 = self._denom, gcd = gcd_))
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# Certainement le truc le plus moche que j'ai jamais fait... On ne met que des strings dans steps puis au dernier moment on met une fraction. C'est moche de ma part
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steps.append(self)
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return steps
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@ -47,6 +49,9 @@ class Fraction(object):
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else:
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return str(self._num) + " / " + str(self._denom)
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def __repr__(self):
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return "< Fraction " + self.__str__() + ">"
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def __add__(self, other):
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if type(other) == Fraction:
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#cool
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@ -54,7 +59,7 @@ class Fraction(object):
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else:
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number = Fraction(other)
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steps = ["{frac1} + {frac2}".format(frac1 = self, frac2 = number)]
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steps = []
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if self._denom == number._denom:
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com_denom = self._denom
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@ -66,17 +71,18 @@ class Fraction(object):
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coef1 = number._denom // gcd_denom
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coef2 = self._denom // gcd_denom
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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)]
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steps.append("( {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))
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com_denom = self._denom * coef1
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num1 = self._num * coef1
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num2 = number._num * coef2
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steps += ["( {num1} + {num2} ) / {denom}".format(num1 = num1, num2 = num2, denom = com_denom)]
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steps.append("( {num1} + {num2} ) / {denom}".format(num1 = num1, num2 = num2, denom = com_denom))
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num = num1 + num2
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ans_frac = Fraction(num, com_denom)
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steps.append(ans_frac)
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steps += ans_frac.simplify()
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return steps
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@ -88,7 +94,7 @@ class Fraction(object):
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else:
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number = Fraction(other)
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steps = ["{frac1} - {frac2}".format(frac1 = self, frac2 = number)]
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steps = []
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if self._denom == number._denom:
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com_denom = self._denom
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@ -100,17 +106,18 @@ class Fraction(object):
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coef1 = number._denom // gcd_denom
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coef2 = self._denom // gcd_denom
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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)]
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steps.append("( {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))
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com_denom = self._denom * coef1
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num1 = self._num * coef1
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num2 = number._num * coef2
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steps += ["( {num1} - {num2} ) / {denom}".format(num1 = num1, num2 = num2, denom = com_denom)]
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steps.append("( {num1} - {num2} ) / {denom}".format(num1 = num1, num2 = num2, denom = com_denom))
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num = num1 - num2
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ans_frac = Fraction(num, com_denom)
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steps.append(ans_frac)
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steps += ans_frac.simplify()
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return steps
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@ -122,13 +129,14 @@ class Fraction(object):
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else:
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number = Fraction(other)
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steps = ["( {frac1} ) * ( {frac2} )".format(frac1 = self, frac2 = number)]
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steps += ["( {num1} * {num2} ) / ( {denom1} * {denom2} )".format(num1 = self._num, num2 = number._num, denom1 = self._denom, denom2 = number._denom)]
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steps = []
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steps.append("( {num1} * {num2} ) / ( {denom1} * {denom2} )".format(num1 = self._num, num2 = number._num, denom1 = self._denom, denom2 = number._denom))
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num = self._num * number._num
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denom = self._denom * number._denom
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ans_frac = Fraction(num, denom)
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steps.append(ans_frac)
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steps += ans_frac.simplify()
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return steps
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@ -140,18 +148,29 @@ class Fraction(object):
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else:
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number = Fraction(other)
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steps = ["( {frac1} ) / ( {frac2} )".format(frac1 = self, frac2 = number)]
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steps = []
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number = Fraction(number._denom, number._num)
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steps += self * number
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return steps
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def __lt__(self, other):
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if type(other) == Fraction:
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return (self._num / self._denom) < (other._num / other._denom)
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else:
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return (self._num / self._denom) < other
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def __le__(self, other):
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if type(other) == Fraction:
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return (self._num / self._denom) <= (other._num / other._denom)
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else:
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return (self._num / self._denom) <= other
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if __name__ == '__main__':
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f = Fraction(34, 12)
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g = Fraction(1,5)
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f = Fraction(1, 12)
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g = Fraction(1, 12)
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h = Fraction(-1,5)
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t = Fraction(-4,5)
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print("---------")
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@ -163,24 +182,24 @@ if __name__ == '__main__':
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print("---------")
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for i in (f + g):
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print(i)
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print("---------")
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for i in (f - g):
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print(i)
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print("---------")
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for i in (f * g):
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print(i)
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print("---------")
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for i in (h + t):
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print(i)
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print("---------")
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for i in (h - t):
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print(i)
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print("---------")
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for i in (h * t):
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print(i)
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print("---------")
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for i in (h / t):
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print(i)
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#print("---------")
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#for i in (f - g):
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# print(i)
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#print("---------")
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#for i in (f * g):
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# print(i)
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#print("---------")
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#for i in (h + t):
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# print(i)
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#print("---------")
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#for i in (h - t):
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# print(i)
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#print("---------")
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#for i in (h * t):
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# print(i)
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#print("---------")
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#for i in (h / t):
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# print(i)
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#print(f.simplify())
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