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solve bug with * and ** and polynom of high degree

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Lafrite 2015-03-07 09:15:38 +01:00
parent b3a07bf6e4
commit 6e1783da43
1 changed files with 39 additions and 18 deletions
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57
pymath/polynom.py
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@ -5,7 +5,7 @@
from .expression import Expression from .expression import Expression
from .explicable import Explicable from .explicable import Explicable
from .operator import op from .operator import op
from .generic import spe_zip, expand_list, isNumber, transpose_fill, flatten_list, isPolynom from .generic import spe_zip, expand_list, isNumber, transpose_fill, flatten_list, isPolynom, isNumerand
from .render import txt from .render import txt
from .random_expression import RdExpression from .random_expression import RdExpression
from itertools import chain from itertools import chain
@ -102,13 +102,27 @@ class Polynom(Explicable):
:returns: Expression ready to be simplify :returns: Expression ready to be simplify
>>> P = Polynom([1, 2, 3])
>>> P(2)
17
>>> for i in P(2).explain():
... print(i)
3 \\times 2^{ 2 } + 2 \\times 2 + 1
3 \\times 4 + 4 + 1
12 + 4 + 1
16 + 1
17
>>> Q = P("1+h")
>>> print(Q)
3 h^{ 2 } + 8 h + 6
>>> R = P(Q)
""" """
if isNumber(value): if isNumerand(value) or Expression.isExpression(value):
postfix_exp = [value if i==self._letter else i for i in self.postfix_tokens] postfix_exp = [value if i==self._letter else i for i in self.postfix_tokens]
else: else:
postfix_exp = [Expression(value) if i==self._letter else i for i in self.postfix_tokens] postfix_exp = [Expression(value) if i==self._letter else i for i in self.postfix_tokens]
return Expression(postfix_exp) return Expression(postfix_exp).simplify()
def feed_coef(self, l_coef): def feed_coef(self, l_coef):
"""Feed coef of the polynom. Manage differently whether it's a number or an expression """Feed coef of the polynom. Manage differently whether it's a number or an expression
@ -525,12 +539,15 @@ class Polynom(Explicable):
[[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 4, 'x', 2, '^', '*', '*'] >], < Polynom [0, 0, 4, < <class 'pymath.expression.Expression'> [2, 4, '*'] >]>, < Polynom [0, 0, 4, < <class 'pymath.expression.Expression'> [2, 4, '*'] >]>] [[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 4, 'x', 2, '^', '*', '*'] >], < Polynom [0, 0, 4, < <class 'pymath.expression.Expression'> [2, 4, '*'] >]>, < Polynom [0, 0, 4, < <class 'pymath.expression.Expression'> [2, 4, '*'] >]>]
>>> p*r >>> p*r
< Polynom [0, 1, 2]> < Polynom [0, 1, 2]>
>>> P = Polynom([1,2,3])
>>> Q = Polynom([4,5,6])
>>> P*Q
< Polynom [4, 13, 28, 27, 18]>
""" """
# TODO: Je trouve qu'elle grille trop d'étapes... |ven. févr. 27 19:08:44 CET 2015 # TODO: Je trouve qu'elle grille trop d'étapes... |ven. févr. 27 19:08:44 CET 2015
o_poly = self.conv2poly(other) o_poly = self.conv2poly(other)
coefs = [] coefs = [0]*(self.degree + o_poly.degree + 1)
for (i,a) in enumerate(self._coef): for (i,a) in enumerate(self._coef):
for (j,b) in enumerate(o_poly._coef): for (j,b) in enumerate(o_poly._coef):
if a == 0 or b == 0: if a == 0 or b == 0:
@ -541,13 +558,14 @@ class Polynom(Explicable):
elem = a elem = a
else: else:
elem = Expression([a, b, op.mul]) elem = Expression([a, b, op.mul])
try:
if coefs[i+j]==0: if coefs[i+j]==0:
coefs[i+j] = elem coefs[i+j] = elem
elif elem != 0: elif elem != 0:
coefs[i+j] = [coefs[i+j], elem] if type(coefs[i+j]) == list:
except IndexError: coefs[i+j] += [elem]
coefs.append(elem) else:
coefs[i+j] = [coefs[i+j] , elem]
p = Polynom(coefs, letter = self._letter) p = Polynom(coefs, letter = self._letter)
ini_step = [Expression(self.postfix_tokens + o_poly.postfix_tokens + [op.mul])] ini_step = [Expression(self.postfix_tokens + o_poly.postfix_tokens + [op.mul])]
@ -578,6 +596,9 @@ class Polynom(Explicable):
>>> p = Polynom([0,0,1]) >>> p = Polynom([0,0,1])
>>> p**3 >>> p**3
< Polynom [0, 0, 0, 0, 0, 0, 1]> < Polynom [0, 0, 0, 0, 0, 0, 1]>
>>> p = Polynom([1,2,3])
>>> p**2
< Polynom [1, 4, 10, 12, 9]>
""" """
if not type(power): if not type(power):
@ -646,11 +667,11 @@ def test(p,q):
if __name__ == '__main__': if __name__ == '__main__':
#from .fraction import Fraction #from .fraction import Fraction
# with Expression.tmp_render(txt): #with Expression.tmp_render(txt):
# p = Polynom([1,2,3]) # p = Polynom([1, 2, 3])
# q = Polynom([0, 2]) # q = Polynom([4, 5, 6])
# for i in (p*q).explain(): # for i in (p*q).explain():
# print(i) # print(i)
# r = Polynom([0,1]) # r = Polynom([0,1])
# for i in (r*3).explain(): # for i in (r*3).explain():
# print(i) # print(i)
@ -662,7 +683,7 @@ if __name__ == '__main__':
# print(p-q) # print(p-q)
# for i in p-q: # for i in p-q:
# print(i) # print(i)
Polynom.random(degree = 2, conditions=["{b**2-4*a*c}>0"]) # Polynom deg 2 with positive Delta (ax^2 + bx + c) #Polynom.random(degree = 2, conditions=["{b**2-4*a*c}>0"]) # Polynom deg 2 with positive Delta (ax^2 + bx + c)
import doctest import doctest