start adapting polynom
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lafrite
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@ -2,6 +2,8 @@
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# encoding: utf-8
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from itertools import zip_longest
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class Stack(object):
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"""Docstring for Stack """
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@ -243,6 +245,27 @@ def convolution_dict(D1, D2, op = lambda x,y:x*y,\
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return new_dict
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def spe_zip(l1,l2):
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"""Zip two lists, if a list is longer, only it's element are taken
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>>> spe_zip([1,2], [3,4])
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[[1, 3], [2, 4]]
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>>> spe_zip([1,2], [3,4,5])
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[[1, 3], [2, 4], 5]
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"""
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tmp = list(zip_longest(l1,l2))
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ans = []
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for i in tmp:
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if None in i:
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j = [a for a in i if i != None][-1]
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else:
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j = list(i)
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ans.append(j)
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return ans
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def isOperator(exp):
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"""Check if the expression is an opération in "+-*/:^"
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@ -2,9 +2,9 @@
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# encoding: utf-8
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from pymath.fraction import Fraction
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from pymath.expression import Expression
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from pymath.generic import mix_list, sum_postfix, expand_list
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from .expression import Expression
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from .generic import spe_zip, sum_postfix, expand_list, isNumber
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from .render import txt
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__all__ = ["Polynom"]
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@ -16,11 +16,11 @@ class Polynom(object):
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def __init__(self, coef = [1], letter = "x" ):
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"""Initiate the polynom
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:param coef: coefficients of the polynom (ascending degree sorted) - can be a list of list of coefficients.
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3 possibles type of list:
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- [a,b,..] simple list of coefficients. [1,2] designate 1 + 2x
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- [a, [c,b],...] list of coefficients with x^i repeated. [1,[2,3],4) designate 1 + 2x + 3x + 4x^2
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- [a, [b,c,"+"],...] list of coefficients with arithmetic expression (postfix form) in. [1, [2,3,"+"], 4] designate 1 + (2+3)x + 4x^2
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:param coef: coefficients of the polynom (ascending degree sorted)
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3 possibles type of coefficent:
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- a : simple "number". [1,2] designate 1 + 2x
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- [a,b,c]: list of coeficient for same degree. [1,[2,3],4] designate 1 + 2x + 3x + 4x^2
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- a: a Expression. [1, Expression("2+3"), 4] designate 1 + (2+3)x + 4x^2
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:param letter: the string describing the unknown
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"""
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@ -33,6 +33,8 @@ class Polynom(object):
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else:
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self.mainOp = "+"
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self._isPolynom
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def feed_coef(self, l_coef):
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"""Feed coef of the polynom. Manage differently whether it's a number or an expression
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@ -64,7 +66,6 @@ class Polynom(object):
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def __str__(self):
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# TODO: Voir si on peut utiliser un render |sam. juin 14 08:56:16 CEST 2014
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from .renders import txt
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return txt(self.get_postfix())
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def __repr__(self):
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@ -78,6 +79,7 @@ class Polynom(object):
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:returns: postfix tokens of coef
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"""
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# TODO: Couille certaine avec txt à qui il fait donner des opérateurs tout beau! |mar. nov. 11 13:08:35 CET 2014
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ans =[]
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if a == 0:
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return ans
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@ -125,15 +127,22 @@ class Polynom(object):
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return self._postfix
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def convert_into_poly(self, other):
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"""Convert anything (int and fract) into a polynom """
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if type(other) in [int, Fraction]:
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def conv2poly(self, other):
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"""Convert anything number into a polynom"""
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if isNumber(other) and not self.isPolynom(other):
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return Polynom([other])
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elif type(other) == Polynom:
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elif self.isPolynom(other):
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return other
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else:
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raise ValueError(type(other) + " can't be converted into a polynom")
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def isPolynom(self, other):
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try:
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exp._isPolynom
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except AttributeError:
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return 0
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return 1
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def reduce(self):
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"""Compute coefficients which have same degree
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@ -142,13 +151,12 @@ class Polynom(object):
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steps = []
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for a in self._coef:
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coef_steps = []
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if type(a) == list and str(a[-1]) in "+-*^":
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if type(a) == Expression:
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# case coef is an arithmetic expression
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exp = Expression(a)
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coef_steps = list(exp.simplify(render = lambda x:x))
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coef_steps = list(a.simplify(render = lambda x:x))
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steps.append(coef_steps)
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elif type(a) == list and str(a[-1]) not in "+-*^":
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elif type(a) == list:
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# case need to repeat the x^i
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if [i for i in a if type(i) == list] != []:
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# first we simplify arithmetic exp
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@ -189,19 +197,15 @@ class Polynom(object):
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def __eq__(self, other):
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if type(other) in [int, Fraction, Polynom] or other.isnumeric():
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o_poly = self.convert_into_poly(other)
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o_poly = self.conv2poly(other)
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return self._coef == o_poly._coef
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else:
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return 0
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def __add__(self, other):
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steps = []
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o_poly = self.convert_into_poly(other)
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o_poly = self.conv2poly(other)
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n_coef = mix_list(self._coef, o_poly._coef)
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n_coef = spe_zip(self._coef, o_poly._coef)
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p = Polynom(n_coef)
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steps.append(p)
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@ -215,19 +219,19 @@ class Polynom(object):
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return Polynom([-i for i in self._coef], letter = self._letter)
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def __sub__(self, other):
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o_poly = self.convert_into_poly(other)
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o_poly = self.conv2poly(other)
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o_poly = -o_poly
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return self.__add__(o_poly)
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def __rsub__(self, other):
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o_poly = self.convert_into_poly(other)
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o_poly = self.conv2poly(other)
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return o_poly.__sub__(-self)
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def __mul__(self, other):
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steps = []
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o_poly = self.convert_into_poly(other)
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o_poly = self.conv2poly(other)
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coefs = []
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for (i,a) in enumerate(self._coef):
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@ -251,7 +255,7 @@ class Polynom(object):
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return steps
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def __rmul__(self, other):
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o_poly = self.convert_into_poly(other)
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o_poly = self.conv2poly(other)
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return o_poly.__mul__(self)
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