Render done need to clean expression
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@ -8,6 +8,7 @@ class Expression(object):
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"""A calculus expression. Today it can andle only expression with numbers later it will be able to manipulate unknown"""
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"""A calculus expression. Today it can andle only expression with numbers later it will be able to manipulate unknown"""
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PRIORITY = {"*" : 3, "/": 3, "+": 2, "-":2, "(": 1}
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PRIORITY = {"*" : 3, "/": 3, "+": 2, "-":2, "(": 1}
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TEXSYM = {"*" : " \\times ", "+" : " + " , "-" : " - "}
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def __init__(self, exp):
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def __init__(self, exp):
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""" Initiate the expression
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""" Initiate the expression
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@ -191,11 +192,60 @@ class Expression(object):
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def postfix_tokens(self, val):
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def postfix_tokens(self, val):
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self._postfix_tokens = val
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self._postfix_tokens = val
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# ----------------------
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# Latex render
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@classmethod
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def texRender(cls, postfix_tokens):
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"""@todo: Docstring for texRender
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:param postfix_tokens: the postfix list of tokens to transform into infix form.
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:returns: the latex render ready to insert into a maht environment
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>>> Expression.post2in_fix([2, 5, '+', 1, '-', 3, 4, '*', '/'])
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['( ', 2, '+', 5, '-', 1, ' )', '/', '( ', 3, '*', 4, ' )']
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"\frac{2 + 5 - 1}{3 \times 4)"
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>>> Expression.post2in_fix([2])
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"2"
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"""
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operandeStack = Stack()
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for token in postfix_tokens:
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if cls.isOperator(token):
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op2 = operandeStack.pop()
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op1 = operandeStack.pop()
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if token == "/":
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res = "\\frac{" + str(op1) + "}{" + str(op2) + "}"
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else:
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if cls.needPar(op2, token, "after"):
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op2 = "\\left( " + str(op2) + " \\right) "
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if cls.needPar(op1, token, "before"):
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op2 = "\\left( " + str(op1) + " \\right) "
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res = str(op1) + cls.TEXSYM[token] + str(op2)
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operandeStack.push(res)
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else:
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operandeStack.push(token)
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# Manip pour gerer les cas similaires au deuxième exemple
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infix_tokens = operandeStack.pop()
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if type(infix_tokens) == list:
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infix_tokens = flatten_list(infix_tokens)
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elif cls.isNumber(infix_tokens):
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infix_tokens = [infix_tokens]
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return infix_tokens
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# ----------------------
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# ----------------------
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# "fix" tranformations
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# "fix" tranformations
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@classmethod
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@classmethod
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def in2post_fix(self, infix_tokens):
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def in2post_fix(cls, infix_tokens):
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""" From the infix_tokens list compute the corresponding postfix_tokens list
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""" From the infix_tokens list compute the corresponding postfix_tokens list
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@param infix_tokens: the infix list of tokens to transform into postfix form.
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@param infix_tokens: the infix list of tokens to transform into postfix form.
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@ -215,9 +265,9 @@ class Expression(object):
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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 self.isOperator(token):
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elif cls.isOperator(token):
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# On doit ajouter la condition == str sinon python ne veut pas tester l'appartenance à la chaine de caractère.
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# On doit ajouter la condition == str sinon python ne veut pas tester l'appartenance à la chaine de caractère.
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while (not opStack.isEmpty()) and (self.PRIORITY[opStack.peek()] >= self.PRIORITY[token]):
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while (not opStack.isEmpty()) and (cls.PRIORITY[opStack.peek()] >= cls.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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@ -229,7 +279,7 @@ class Expression(object):
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return postfixList
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return postfixList
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@classmethod
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@classmethod
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def post2in_fix(self, postfix_tokens):
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def post2in_fix(cls, postfix_tokens):
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""" From the postfix_tokens list compute the corresponding infix_tokens list
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""" From the postfix_tokens list compute the corresponding infix_tokens list
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@param postfix_tokens: the postfix list of tokens to transform into infix form.
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@param postfix_tokens: the postfix list of tokens to transform into infix form.
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@ -243,14 +293,14 @@ class Expression(object):
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operandeStack = Stack()
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operandeStack = Stack()
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for token in postfix_tokens:
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for token in postfix_tokens:
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if self.isOperator(token):
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if cls.isOperator(token):
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op2 = operandeStack.pop()
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op2 = operandeStack.pop()
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if self.needPar(op2, token, "after"):
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if cls.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 self.needPar(op1, token, "before"):
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if cls.needPar(op1, token, "before"):
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op1 = ["( ", op1, " )"]
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op1 = ["( ", op1, " )"]
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res = [op1, token, op2]
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res = [op1, token, op2]
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@ -263,7 +313,7 @@ class Expression(object):
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infix_tokens = operandeStack.pop()
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infix_tokens = operandeStack.pop()
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if type(infix_tokens) == list:
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if type(infix_tokens) == list:
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infix_tokens = flatten_list(infix_tokens)
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infix_tokens = flatten_list(infix_tokens)
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elif self.isNumber(infix_tokens):
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elif cls.isNumber(infix_tokens):
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infix_tokens = [infix_tokens]
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infix_tokens = [infix_tokens]
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return infix_tokens
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return infix_tokens
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@ -272,7 +322,7 @@ class Expression(object):
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# Tools for placing parenthesis in infix notation
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# Tools for placing parenthesis in infix notation
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@classmethod
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@classmethod
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def needPar(self, operande, operator, posi = "after"):
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def needPar(cls, 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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@ -280,13 +330,13 @@ class Expression(object):
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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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if self.isNumber(operande) and operande < 0:
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if cls.isNumber(operande) and operande < 0:
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return 1
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return 1
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elif not self.isNumber(operande):
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elif not cls.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 = self.get_main_op(operande)
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stand_alone = cls.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 = self.PRIORITY[self.get_main_op(operande)] < self.PRIORITY[operator]
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minor_priority = cls.PRIORITY[cls.get_main_op(operande)] < cls.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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@ -295,13 +345,16 @@ class Expression(object):
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return 0
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return 0
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@classmethod
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@classmethod
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def get_main_op(self, tokens):
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def get_main_op(cls, tokens):
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"""Getting the main operation of the list of tokens
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"""Getting the main operation of the list of tokens
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:param exp: the list of tokens
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: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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: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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print("tokens: ", tokens)
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parStack = Stack()
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parStack = Stack()
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if len(tokens) == 1:
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if len(tokens) == 1:
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@ -315,10 +368,12 @@ class Expression(object):
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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 self.isOperator(token) and parStack.isEmpty():
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elif cls.isOperator(token) 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: self.PRIORITY[s])
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print("main_op", main_op)
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return min(main_op, key = lambda s: cls.PRIORITY[s])
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## ---------------------
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## ---------------------
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## Computing the expression
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## Computing the expression
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@ -368,7 +423,7 @@ class Expression(object):
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def test(exp):
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def test(exp):
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a = Expression(exp)
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a = Expression(exp)
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#for i in a.simplify():
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#for i in a.simplify():
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for i in a.simplify(render = render):
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for i in a.simplify(render = Expression.texRender):
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print(i)
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print(i)
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print("\n")
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print("\n")
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184
render.py
Normal file
184
render.py
Normal file
@ -0,0 +1,184 @@
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#!/usr/bin/env python
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# encoding: utf-8
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from generic import Stack,flatten_list
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from fraction import Fraction
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class Render(object):
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"""A class which aims to create render functions from three dictionnaries:
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- op_infix: dict of caracters
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- op_postfix: dict of 2 arguments functions
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- other: dict of caracters
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Those three dictionnaries while define how a postfix expression will be transform into a string.
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"""
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PRIORITY = {"*" : 3, "/": 3, "+": 2, "-":2, "(": 1}
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def __init__(self, op_infix = {}, op_postfix = {}, other = {}):
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"""Initiate the render
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@param op_infix: the dictionnary of infix operator with how they have to be render
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@param op_postfix: the dictionnary of postfix operator with how they have to be render
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@param other: other caracters like parenthesis.
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"""
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self.op_infix = op_infix
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self.op_postfix = op_postfix
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self.other = other
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# TODO: there may be issues with PRIORITY
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self.operators = list(self.op_infix.keys()) + list(self.op_postfix.keys()) + list(self.other.keys())
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def __call__(self, postfix_tokens):
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"""Make the object acting like a function
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:param postfix_tokens: the list of postfix tokens to be render
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:returns: the render string
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"""
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operandeStack = Stack()
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for token in postfix_tokens:
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if self.isOperator(token):
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op2 = operandeStack.pop()
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if self.needPar(op2, token, "after"):
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op2 = self.other["("] + str(op2) + self.other[")"]
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op1 = operandeStack.pop()
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if self.needPar(op1, token, "before"):
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op1 = self.other["("] + str(op1) + self.other[")"]
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if token in self.op_infix:
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res = fstr(str(op1) + self.op_infix[token] + str(op2))
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elif token in self.op_postfix:
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res = fstr(self.op_postfix[token](str(op1), str(op2)))
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# Trick to remember the main op when the render will be done!
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res.mainOp = token
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operandeStack.push(res)
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else:
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operandeStack.push(token)
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# Manip pour gerer les cas similaires au deuxième exemple
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infix_tokens = operandeStack.pop()
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if type(infix_tokens) == list:
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infix_tokens = flatten_list(infix_tokens)
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elif self.isNumber(infix_tokens):
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infix_tokens = [infix_tokens]
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return infix_tokens
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# ---------------------
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# Tools for placing parenthesis in infix notation
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def needPar(self, operande, operator, posi = "after"):
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"""Says whether or not the operande needs parenthesis
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:param operande: the operande
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:param operator: the operator
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:param posi: "after"(default) if the operande will be after the operator, "before" othewise
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:returns: bollean
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"""
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if self.isNumber(operande) and operande < 0:
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return 1
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elif not self.isNumber(operande):
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# Si c'est une grande expression ou un chiffre négatif
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stand_alone = self.get_main_op(operande)
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# Si la priorité de l'operande est plus faible que celle de l'opérateur
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minor_priority = self.PRIORITY[self.get_main_op(operande)] < self.PRIORITY[operator]
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# Si l'opérateur est -/ pour after ou juste / pour before
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special = (operator in "-/" and posi == "after") or (operator in "/" and posi == "before")
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return stand_alone and (minor_priority or special)
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else:
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return 0
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def get_main_op(self, tokens):
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"""Getting the main operation of the list of tokens
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:param exp: the list of tokens
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:returns: the main operation (+, -, * or /) or 0 if the expression is only one element
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"""
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if hasattr(tokens, "mainOp"):
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return tokens.mainOp
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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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parStack = Stack()
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main_op = []
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for token in tokens:
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if token == "(":
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parStack.push(token)
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elif token == ")":
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parStack.pop()
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elif self.isOperator(token) and parStack.isEmpty():
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main_op.append(token)
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return min(main_op, key = lambda s: self.PRIORITY[s])
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## ---------------------
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## Recognize numbers and operators
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def isNumber(self, exp):
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"""Check if the expression can be a number which means that it is not a operator
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:param exp: an expression
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:returns: True if the expression can be a number and false otherwise
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"""
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return type(exp) == int or type(exp) == Fraction
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def isOperator(self, exp):
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"""Check if the expression is in self.operators
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:param exp: an expression
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:returns: boolean
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"""
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return (type(exp) == str and exp in self.operators)
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class fstr(str):
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"""Fake string - they are used to stock the main operation of an rendered expression"""
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pass
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txt_infix = {"+": " + ", "-": " - ", "*": " * ", "/" : " / "}
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txt_postfix = {}
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txt_other = {"(": "( ", ")": ") "}
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txt_render = Render(txt_infix, txt_postfix, txt_other)
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def texFrac(op1, op2):
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if op1[0] == "(" and op1[-1] == ")":
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op1 = op1[1:-1]
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if op2[0] == "(" and op2[-1] == ")":
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op2 = op2[1:-1]
|
||||||
|
return "\\frac{" + str(op1) + "}{" + str(op2) + "}"
|
||||||
|
|
||||||
|
tex_infix = {"+": " + ", "-": " - ", "*": " * "}
|
||||||
|
tex_postfix = {"/": texFrac}
|
||||||
|
tex_other = {"(": "( ", ")": " )"}
|
||||||
|
tex_render = Render(tex_infix, tex_postfix, tex_other)
|
||||||
|
|
||||||
|
if __name__ == '__main__':
|
||||||
|
#exp = [2, 5, '+', 1, '-', 3, 4, '*', '/']
|
||||||
|
#print(txt_render(exp))
|
||||||
|
exp = [2, 5, '+', 1, '-', 3, 4, '*', '/', 3, '+']
|
||||||
|
print(tex_render(exp))
|
||||||
|
|
||||||
|
|
||||||
|
# -----------------------------
|
||||||
|
# Reglages pour 'vim'
|
||||||
|
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
|
||||||
|
# cursor: 16 del
|
55
texRender.py
55
texRender.py
@ -1,55 +0,0 @@
|
|||||||
#!/usr/bin/env python
|
|
||||||
# encoding: utf-8
|
|
||||||
|
|
||||||
from generic import Stack
|
|
||||||
|
|
||||||
|
|
||||||
def post2in_fix(postfix_tokens):
|
|
||||||
""" From the postfix_tokens list compute the corresponding infix_tokens list
|
|
||||||
|
|
||||||
@param postfix_tokens: the postfix list of tokens to transform into infix form. If nothing is set, it takes the value self.postfix_tokens
|
|
||||||
@return: the corresponding infix list of tokens if postfix_tokens is set. nothing otherwise but stock it in self.infix_tokens
|
|
||||||
|
|
||||||
>>> post2in_fix([2, 5, '+', 1, '-', 3, 4, '*', '/'])
|
|
||||||
['( ', 2, '+', 5, '-', 1, ' )', '/', '( ', 3, '*', 4, ' )']
|
|
||||||
"""
|
|
||||||
operandeStack = Stack()
|
|
||||||
|
|
||||||
for token in postfix_tokens:
|
|
||||||
if self.isOperator(token):
|
|
||||||
op2 = operandeStack.pop()
|
|
||||||
if self.needPar(op2, token, "after"):
|
|
||||||
op2 = ["( ", op2, " )"]
|
|
||||||
op1 = operandeStack.pop()
|
|
||||||
if self.needPar(op1, token, "before"):
|
|
||||||
op1 = ["( ", op1, " )"]
|
|
||||||
res = [op1, token, op2]
|
|
||||||
|
|
||||||
operandeStack.push(res)
|
|
||||||
|
|
||||||
else:
|
|
||||||
operandeStack.push(token)
|
|
||||||
|
|
||||||
infix_tokens = flatten_list(operandeStack.pop())
|
|
||||||
|
|
||||||
return infix_tokens
|
|
||||||
|
|
||||||
def textRender(postfix_tokens):
|
|
||||||
""" A text baser render
|
|
||||||
|
|
||||||
:param postfix_tokens: The postfix list of tokens
|
|
||||||
:returns: the text expression
|
|
||||||
|
|
||||||
"""
|
|
||||||
infix_tokens = post2in_fix(postfix_tokens)
|
|
||||||
return ' '.join(infix_tokens)
|
|
||||||
|
|
||||||
if __name__ == '__main__':
|
|
||||||
|
|
||||||
import doctest
|
|
||||||
doctest.testmod()
|
|
||||||
|
|
||||||
# -----------------------------
|
|
||||||
# Reglages pour 'vim'
|
|
||||||
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
|
|
||||||
# cursor: 16 del
|
|
Loading…
Reference in New Issue
Block a user