move formal to polynom and solve (I hope) consequences
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2e417f3bef
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@ -4,7 +4,7 @@
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from .generic import Stack, flatten_list, expand_list
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from .generic import Stack, flatten_list, expand_list
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from .fraction import Fraction
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from .fraction import Fraction
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from .renders import txt_render, post2in_fix, tex_render
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from .renders import txt_render, post2in_fix, tex_render
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from .formal import FormalExp
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from .polynom import Polynom
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class Expression(object):
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class Expression(object):
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"""A calculus expression. Today it can andle only expression with numbers later it will be able to manipulate unknown"""
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"""A calculus expression. Today it can andle only expression with numbers later it will be able to manipulate unknown"""
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@ -143,17 +143,17 @@ class Expression(object):
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# If "3x", ")x" or "yx"
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# If "3x", ")x" or "yx"
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if self.isNumber(tokens[-1]) \
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if self.isNumber(tokens[-1]) \
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or tokens[-1] == ")" \
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or tokens[-1] == ")" \
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or type(tokens[-1]) == FormalExp:
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or type(tokens[-1]) == Polynom:
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tokens.append("*")
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tokens.append("*")
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tokens.append(FormalExp(letter = character))
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tokens.append(Polynom(letter = character))
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# Special case for "-" at the begining of an expression or before "("
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# Special case for "-" at the begining of an expression or before "("
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elif tokens[-1] == "-" \
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elif tokens[-1] == "-" \
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or str(tokens[-2]) in " (":
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or str(tokens[-2]) in " (":
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tokens[-1] = - FormalExp(letter = character)
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tokens[-1] = - Polynom(letter = character)
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else:
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else:
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tokens.append(FormalExp(letter = character))
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tokens.append(Polynom(letter = character))
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elif character in "+-*/):^":
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elif character in "+-*/):^":
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tokens.append(character)
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tokens.append(character)
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@ -162,7 +162,7 @@ class Expression(object):
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# If "3(", ")(" or "x("
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# If "3(", ")(" or "x("
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if self.isNumber(tokens[-1]) \
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if self.isNumber(tokens[-1]) \
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or tokens[-1] == ")" \
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or tokens[-1] == ")" \
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or type(tokens[-1]) == FormalExp:
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or type(tokens[-1]) == Polynom:
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tokens.append("*")
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tokens.append("*")
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tokens.append(character)
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tokens.append(character)
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@ -324,7 +324,7 @@ class Expression(object):
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"""
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"""
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return type(exp) == int or \
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return type(exp) == int or \
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type(exp) == Fraction or \
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type(exp) == Fraction or \
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type(exp) == FormalExp
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type(exp) == Polynom
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@staticmethod
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@staticmethod
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def isOperator(exp):
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def isOperator(exp):
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@ -5,11 +5,11 @@ from .fraction import Fraction
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from .generic import add_in_dict, remove_in_dict, convolution_dict
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from .generic import add_in_dict, remove_in_dict, convolution_dict
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import re
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import re
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class FormalExp(object):
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class Polynom(object):
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"""A formal expression (similare to Symbol in Sympy"""
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"""A polynom (similare to Symbol in Sympy"""
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def __init__(self, coef = {}, letter = ""):
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def __init__(self, coef = {}, letter = ""):
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"""Initiat the formal expression
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"""Initiat the polynom
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:param coef: the dictionary representing the expression
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:param coef: the dictionary representing the expression
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:param letter: minimum expression, a letter
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:param letter: minimum expression, a letter
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@ -17,14 +17,14 @@ class FormalExp(object):
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"""
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"""
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if coef != {} and letter != "":
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if coef != {} and letter != "":
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raise ValueError("A FormalExp can't be initiate with dict_exp and a letter")
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raise ValueError("A Polynom can't be initiate with dict_exp and a letter")
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elif letter != "":
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elif letter != "":
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self._letter = letter
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self._letter = letter
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self._coef = {letter: 1}
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self._coef = {letter: 1}
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elif coef != {}:
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elif coef != {}:
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self._coef = coef
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self._coef = coef
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else:
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else:
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raise ValueError("FormalExp needs a letter or dictionary of coeficients")
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raise ValueError("Polynom needs a letter or dictionary of coeficients")
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if len(self) != 1:
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if len(self) != 1:
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self.mainOp = "+"
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self.mainOp = "+"
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@ -52,7 +52,7 @@ class FormalExp(object):
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return power[m_power]
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return power[m_power]
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def check_calculous(self, other):
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def check_calculous(self, other):
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"""Check if other is a constant and then transform it into a dictionary compatible with FormalExp
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"""Check if other is a constant and then transform it into a dictionary compatible with Polynom
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:param other: The thing to compute with the expression
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:param other: The thing to compute with the expression
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:returns: dictionary of this thing
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:returns: dictionary of this thing
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@ -60,22 +60,22 @@ class FormalExp(object):
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"""
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"""
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if type(other) in [int, Fraction]:
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if type(other) in [int, Fraction]:
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return {"":other}
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return {"":other}
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elif type(other) == FormalExp:
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elif type(other) == Polynom:
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return other._coef.copy()
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return other._coef.copy()
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else:
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else:
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raise ValueError("Can't add {type} with FormalExp".format(type=type(other)))
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raise ValueError("Can't add {type} with Polynom".format(type=type(other)))
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def const_or_formal(self, d):
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def const_or_poly(self, d):
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"""Return a constant if there is nothing else, FormalExp otherwise
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"""Return a constant if there is nothing else, Polynom otherwise
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:param d: dictionary descripting the expression
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:param d: dictionary descripting the expression
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:returns: a constant or a FormalExp
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:returns: a constant or a Polynom
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"""
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"""
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if list(d.keys()) == ['']:
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if list(d.keys()) == ['']:
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return d['']
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return d['']
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else:
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else:
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return FormalExp(d)
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return Polynom(d)
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def __add__(self, other):
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def __add__(self, other):
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d = self.check_calculous(other)
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d = self.check_calculous(other)
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@ -83,7 +83,7 @@ class FormalExp(object):
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d = add_in_dict(self._coef, d)
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d = add_in_dict(self._coef, d)
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d = remove_in_dict(d)
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d = remove_in_dict(d)
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return [self.const_or_formal(d)]
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return [self.const_or_poly(d)]
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def __radd__(self, other):
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def __radd__(self, other):
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return self + other
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return self + other
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@ -96,7 +96,7 @@ class FormalExp(object):
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d = {}
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d = {}
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for k,v in self._coef.items():
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for k,v in self._coef.items():
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d[k] = -v
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d[k] = -v
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return FormalExp(d)
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return Polynom(d)
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def __mul__(self, other):
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def __mul__(self, other):
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d = self.check_calculous(other)
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d = self.check_calculous(other)
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@ -104,7 +104,15 @@ class FormalExp(object):
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d = convolution_dict(self._coef, d, op_key = self.op_key)
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d = convolution_dict(self._coef, d, op_key = self.op_key)
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d = remove_in_dict(d)
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d = remove_in_dict(d)
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return [self.const_or_formal(d)]
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return [self.const_or_poly(d)]
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def __rmul__(self, other):
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d = self.check_calculous(other)
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d = convolution_dict(d, self._coef, op_key = self.op_key)
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d = remove_in_dict(d)
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return [self.const_or_poly(d)]
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def op_key(self, x,y):
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def op_key(self, x,y):
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"""Operation on keys for convolution_dict"""
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"""Operation on keys for convolution_dict"""
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@ -112,16 +120,7 @@ class FormalExp(object):
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return x+y
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return x+y
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else:
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else:
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return x + "*" + y
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return x + "*" + y
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def __rmul__(self, other):
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d = self.check_calculous(other)
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d = convolution_dict(d, self._coef, op_key = self.op_key)
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d = remove_in_dict(d)
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return [self.const_or_formal(d)]
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def __div__(self, other):
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def __div__(self, other):
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# Will never be done :D
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# Will never be done :D
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pass
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pass
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@ -151,9 +150,9 @@ class FormalExp(object):
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return ans
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return ans
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if __name__ == '__main__':
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if __name__ == '__main__':
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fe1 = FormalExp({"x": -1, "":-2})
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fe1 = Polynom({"x": -1, "":-2})
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print(fe1)
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print(fe1)
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fe2 = FormalExp({"x^12": 5, "":2})
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fe2 = Polynom({"x^12": 5, "":2})
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print(fe2)
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print(fe2)
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fe3 = fe1 * fe2
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fe3 = fe1 * fe2
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for s in fe3:
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for s in fe3:
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@ -162,11 +161,11 @@ if __name__ == '__main__':
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for s in fe4:
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for s in fe4:
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print(s)
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print(s)
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fe = FormalExp(letter = "a")
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fe = Polynom(letter = "a")
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fe_ = -2 * fe
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fe_ = -2 * fe
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print(fe_[0])
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print(fe_[0])
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fe = FormalExp(letter = "a")
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fe = Polynom(letter = "a")
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fe_ = fe * (-2)
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fe_ = fe * (-2)
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print(fe_[0])
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print(fe_[0])
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@ -3,7 +3,7 @@
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from .generic import Stack,flatten_list
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from .generic import Stack,flatten_list
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from .fraction import Fraction
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from .fraction import Fraction
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from .formal import FormalExp
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from .polynom import Polynom
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class Render(object):
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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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"""A class which aims to create render functions from three dictionnaries:
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@ -15,7 +15,7 @@ class Render(object):
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PRIORITY = {"^": 4,"*" : 3, "/": 3, ":": 3, "+": 2, "-":2, "(": 1}
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PRIORITY = {"^": 4,"*" : 3, "/": 3, ":": 3, "+": 2, "-":2, "(": 1}
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def __init__(self, op_infix = {}, op_postfix = {}, other = {}, join = " ", type_render = {int: str, Fraction: str, FormalExp: str}):
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def __init__(self, op_infix = {}, op_postfix = {}, other = {}, join = " ", type_render = {int: str, Fraction: str, Polynom: str}):
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"""Initiate the render
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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_infix: the dictionnary of infix operator with how they have to be render
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@ -118,7 +118,7 @@ class Render(object):
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return 1
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return 1
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# Si c'est un expression formelle
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# Si c'est un expression formelle
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elif type(operande) == FormalExp:
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elif type(operande) == Polynom:
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if operator in ["*", "/", "^"]:
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if operator in ["*", "/", "^"]:
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if len(operande) > 1 \
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if len(operande) > 1 \
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or operande.master_coef() < 0:
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or operande.master_coef() < 0:
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@ -190,7 +190,7 @@ class Render(object):
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"""
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"""
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return type(exp) == int \
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return type(exp) == int \
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or type(exp) == Fraction \
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or type(exp) == Fraction \
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or type(exp) == FormalExp
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or type(exp) == Polynom
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def isOperator(self, exp):
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def isOperator(self, exp):
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"""Check if the expression is in self.operators
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"""Check if the expression is in self.operators
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@ -3,7 +3,7 @@
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from .render import Render
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from .render import Render
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from .fraction import Fraction
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from .fraction import Fraction
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from .formal import FormalExp
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from .polynom import Polynom
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from .generic import first_elem
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from .generic import first_elem
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# ------------------------
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# ------------------------
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@ -39,7 +39,7 @@ def texFrac(frac):
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def texMult(op1,op2):
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def texMult(op1,op2):
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fe = first_elem(op2)
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fe = first_elem(op2)
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if type(fe) == FormalExp or fe.isalpha():
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if type(fe) == Polynom or fe.isalpha():
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if type(op1) == list and op1[0] == "(":
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if type(op1) == list and op1[0] == "(":
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return ["(", op1[1:-1], op2, ")"]
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return ["(", op1[1:-1], op2, ")"]
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else:
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else:
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@ -50,7 +50,7 @@ def texMult(op1,op2):
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tex_infix = {"+": " + ", "-": " - ", "*": texMult , ":": ":", "^":"^"}
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tex_infix = {"+": " + ", "-": " - ", "*": texMult , ":": ":", "^":"^"}
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tex_postfix = {"/": texSlash}
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tex_postfix = {"/": texSlash}
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tex_other = {"(": "(", ")": ")"}
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tex_other = {"(": "(", ")": ")"}
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tex_type_render = {int: str, Fraction: texFrac, FormalExp: str}
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tex_type_render = {int: str, Fraction: texFrac, Polynom: str}
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tex_render = Render(tex_infix, tex_postfix, tex_other, type_render = tex_type_render)
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tex_render = Render(tex_infix, tex_postfix, tex_other, type_render = tex_type_render)
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