Merge branch 'dev' into 2nd_deg
This commit is contained in:
Lafrite
commit
285b71d2da
2
TODO
2
TODO
@ -9,5 +9,3 @@
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* Expression parents class and his children: Numerical_exp, toGenerate_exp and formal expression
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* Create tbl sgn and variation render
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@ -139,10 +139,15 @@ class Operator(str):
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return ans
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def add_parenthesis(self, op):
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""" Add parenthesis if necessary """
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""" Add parenthesis if necessary
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>>> from pymath.polynom import Polynom
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>>> P = Polynom([1,2,3])
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"""
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try:
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if op.mainOp.priority < self.priority:
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op = flatten_list(["("] + [op] + [")"])
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op = flatten_list(["(", op, ")"])
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except AttributeError:
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# op has not the attribute priority
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try:
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@ -293,7 +298,7 @@ class op(object):
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caract = {
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"operator" : "-", \
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"name" : "sub",\
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"priority" : 1, \
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"priority" : 2, \
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"arity" : 2, \
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"actions" : ("__sub__","__rsub__"), \
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"txt" : "{op1} - {op2}",\
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@ -336,7 +341,7 @@ class op(object):
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caract = {
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"operator" : "-", \
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"name" : "sub1",\
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"priority" : 2, \
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"priority" : 3, \
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"arity" : 1, \
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"actions" : "__neg__",\
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"txt" : "- {op1}",\
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@ -461,7 +466,7 @@ class op(object):
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caract = {
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"operator" : "^", \
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"name" : "pw",\
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"priority" : 5, \
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"priority" : 6, \
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"arity" : 2, \
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"actions" : ("__pow__",""), \
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"txt" : "{op1} ^ {op2}",\
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@ -5,8 +5,8 @@
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from .expression import Expression
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from .explicable import Explicable
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from .operator import op
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from .generic import spe_zip, expand_list, isNumber, transpose_fill, flatten_list, isPolynom
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from .render import txt
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from .generic import spe_zip, expand_list, isNumber, transpose_fill, flatten_list, isPolynom, isNumerand
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from .render import txt,tex
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from .random_expression import RdExpression
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from itertools import chain
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from functools import wraps
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@ -33,7 +33,7 @@ class Polynom(Explicable):
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"""Docstring for Polynom. """
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@classmethod
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def random(self, coefs_form=[], conditions=[], letter = "x", degree = 0):
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def random(self, coefs_form=[], conditions=[], letter = "x", degree = 0, name = "P"):
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""" Create a random polynom from coefs_form and conditions
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:param coefs_form: list of forms (one by coef) (ascending degree sorted)
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@ -64,9 +64,9 @@ class Polynom(Explicable):
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# On "parse" ce string pour créer les coefs
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coefs = [eval(i) if type(i)==str else i for i in eval(coefs)]
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# Création du polynom
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return Polynom(coefs = coefs, letter = letter)
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return Polynom(coefs = coefs, letter = letter, name = name)
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def __init__(self, coefs = [1], letter = "x" ):
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def __init__(self, coefs = [1], letter = "x", name = "P"):
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"""Initiate the polynom
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:param coef: coefficients of the polynom (ascending degree sorted)
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@ -75,25 +75,36 @@ class Polynom(Explicable):
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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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:param name: Name of the polynom
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>>> Polynom([1,2,3]).mainOp
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>>> P = Polynom([1, 2, 3])
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>>> P.mainOp
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'+'
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>>> P.name
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'P'
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>>> P._letter
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'x'
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>>> Polynom([1]).mainOp
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'*'
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>>> Polynom([0, 0, 3]).mainOp
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'*'
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>>> Polynom([1, 2, 3])._letter
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'x'
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>>> Polynom([1, 2, 3], "y")._letter
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'y'
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>>> Polynom([1, 2, 3], name = "Q").name
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'Q'
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"""
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super(Polynom, self).__init__()
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self.feed_coef(coefs)
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self._letter = letter
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self.name = name
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if self.is_monom():
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self.mainOp = "*"
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self.mainOp = op.mul
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else:
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self.mainOp = "+"
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self.mainOp = op.add
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self._isPolynom = 1
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@ -102,13 +113,27 @@ class Polynom(Explicable):
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:returns: Expression ready to be simplify
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>>> P = Polynom([1, 2, 3])
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>>> P(2)
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17
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>>> for i in P(2).explain():
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... print(i)
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3 \\times 2^{ 2 } + 2 \\times 2 + 1
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3 \\times 4 + 4 + 1
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12 + 4 + 1
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16 + 1
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17
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>>> Q = P("1+h")
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>>> print(Q)
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3 h^{ 2 } + 8 h + 6
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>>> R = P(Q)
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"""
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if isNumber(value):
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if isNumerand(value) or Expression.isExpression(value):
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postfix_exp = [value if i==self._letter else i for i in self.postfix_tokens]
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else:
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postfix_exp = [Expression(value) if i==self._letter else i for i in self.postfix_tokens]
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return Expression(postfix_exp)
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return Expression(postfix_exp).simplify()
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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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@ -157,10 +182,10 @@ class Polynom(Explicable):
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return "< Polynom " + str(self._coef) + ">"
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def __txt__(self):
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return self.postfix_tokens
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return txt(self.postfix_tokens)
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def __tex__(self):
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return self.postfix_tokens
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return tex(self.postfix_tokens)
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def coef_postfix(self, a, i):
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"""Return the postfix display of a coeficient
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@ -392,6 +417,8 @@ class Polynom(Explicable):
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>>> Q = P.derivate()
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>>> Q
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< Polynom [2, 6]>
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>>> print(Q.name)
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P'
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>>> for i in Q.explain():
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... print(i)
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2 \\times 3 x + 1 \\times 2
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@ -400,7 +427,10 @@ class Polynom(Explicable):
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derv_coefs = []
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for (i,c) in enumerate(self._coef):
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derv_coefs += [Expression([i, c, op.mul])]
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return Polynom(derv_coefs[1:]).simplify()
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ans = Polynom(derv_coefs[1:]).simplify()
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ans.name = self.name + "'"
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return ans
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@staticmethod
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def postfix_add(numbers):
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@ -525,12 +555,15 @@ class Polynom(Explicable):
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[[< <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, '*'] >]>]
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>>> p*r
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< Polynom [0, 1, 2]>
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>>> P = Polynom([1,2,3])
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>>> Q = Polynom([4,5,6])
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>>> P*Q
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< Polynom [4, 13, 28, 27, 18]>
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"""
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# TODO: Je trouve qu'elle grille trop d'étapes... |ven. févr. 27 19:08:44 CET 2015
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o_poly = self.conv2poly(other)
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coefs = []
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coefs = [0]*(self.degree + o_poly.degree + 1)
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for (i,a) in enumerate(self._coef):
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for (j,b) in enumerate(o_poly._coef):
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if a == 0 or b == 0:
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@ -541,13 +574,14 @@ class Polynom(Explicable):
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elem = a
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else:
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elem = Expression([a, b, op.mul])
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try:
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if coefs[i+j]==0:
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coefs[i+j] = elem
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elif elem != 0:
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if type(coefs[i+j]) == list:
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coefs[i+j] += [elem]
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else:
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coefs[i+j] = [coefs[i+j] , elem]
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except IndexError:
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coefs.append(elem)
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p = Polynom(coefs, letter = self._letter)
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ini_step = [Expression(self.postfix_tokens + o_poly.postfix_tokens + [op.mul])]
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@ -578,6 +612,9 @@ class Polynom(Explicable):
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>>> p = Polynom([0,0,1])
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>>> p**3
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< Polynom [0, 0, 0, 0, 0, 0, 1]>
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>>> p = Polynom([1,2,3])
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>>> p**2
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< Polynom [1, 4, 10, 12, 9]>
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"""
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if not type(power):
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@ -648,7 +685,7 @@ if __name__ == '__main__':
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#from .fraction import Fraction
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#with Expression.tmp_render(txt):
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# p = Polynom([1, 2, 3])
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# q = Polynom([0, 2])
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# q = Polynom([4, 5, 6])
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# for i in (p*q).explain():
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# print(i)
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# r = Polynom([0,1])
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@ -662,7 +699,7 @@ if __name__ == '__main__':
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# print(p-q)
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# for i in p-q:
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# print(i)
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Polynom.random(degree = 2, conditions=["{b**2-4*a*c}>0"]) # Polynom deg 2 with positive Delta (ax^2 + bx + c)
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#Polynom.random(degree = 2, conditions=["{b**2-4*a*c}>0"]) # Polynom deg 2 with positive Delta (ax^2 + bx + c)
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import doctest
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@ -35,12 +35,12 @@ class Polynom_deg2(Polynom):
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# Création du polynom
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return Polynom_deg2(coefs = coefs, letter = letter)
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def __init__(self, coefs = [0, 0, 1], letter = "x"):
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def __init__(self, coefs = [0, 0, 1], letter = "x", name = "P"):
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if len(coefs) < 3 or len(coefs) > 4:
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raise ValueError("Polynom_deg2 have to be degree 2 polynoms, they need 3 coefficients, {} are given".format(len(coefs)))
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if coefs[2] == 0:
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raise ValueError("Polynom_deg2 have to be degree 2 polynoms, coefficient of x^2 can't be 0")
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Polynom.__init__(self, coefs, letter)
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Polynom.__init__(self, coefs, letter, name = name)
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@property
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def a(self):
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@ -33,20 +33,19 @@ class TestPolynom(unittest.TestCase):
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def test_eval_base(self):
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p = Polynom([1, 2])
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self.assertEqual(p(3).simplify(), 7)
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self.assertEqual(p(3), 7)
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def test_eval_const(self):
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p = Polynom([1])
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self.assertEqual(p(3).simplify(), 1)
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self.assertEqual(p(3), 1)
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def test_eval_const_neg(self):
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p = Polynom([-1])
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self.assertEqual(p(3).simplify(), -1)
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self.assertEqual(p(3), -1)
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def test_eval_poly(self):
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p = Polynom([1, 2])
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hp1 = Expression("h+1")
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self.assertEqual(p(hp1).simplify(), Polynom([3,2], "h"))
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self.assertEqual(p("h+1"), Polynom([3,2], "h"))
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#def test_print(self):
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# p = Polynom([1,2,3])
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@ -6,6 +6,7 @@ import unittest
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from pymath.render import tex, txt,p2i
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from pymath.fraction import Fraction
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from pymath.polynom import Polynom
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from pymath.operator import op
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@ -22,6 +23,10 @@ class TestTexRender(unittest.TestCase):
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def test_type_render_fraction(self):
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self.assertEqual(tex([Fraction(1,2)]), "\\frac{ 1 }{ 2 }")
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def test_type_render_poly(self):
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P = Polynom([1,2,3])
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self.assertEqual(tex([P]), "3 x^{ 2 } + 2 x + 1")
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def test_mult_interger(self):
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exps = [ [2, 3, op.get_op("*", 2)], [2, -3, op.get_op("*", 2)], [-2, 3, op.get_op("*", 2)]]
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wanted_render = [ "2 \\times 3", "2 \\times ( -3 )", "-2 \\times 3"]
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@ -37,26 +42,60 @@ class TestTexRender(unittest.TestCase):
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self.assertEqual(rend, wanted_render[i])
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def test_mult_fraction(self):
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exps = [ [2, Fraction(1,2), op.get_op("*", 2)], [Fraction(1,2), 3, op.get_op("*", 2)]]
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exps = [ [2, Fraction(1,2), op.mul], [Fraction(1,2), 3, op.mul]]
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wanted_render = [ "2 \\times \\frac{ 1 }{ 2 }", "\\frac{ 1 }{ 2 } \\times 3"]
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for (i,e) in enumerate(exps):
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rend = tex(e)
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self.assertEqual(rend, wanted_render[i])
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def test_parentheses(self):
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mul = op.get_op("*", 2)
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add = op.get_op("+", 2)
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def test_mult_poly(self):
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exps = [[2, Polynom([1,2,3]), op.mul],
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[Polynom([1,2,3]), 2, op.mul],
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[Polynom([1,2,3]), Polynom([4,5,6]), op.mul],
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]
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wanted_render = [ "2 ( 3 x^{ 2 } + 2 x + 1 )",
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"( 3 x^{ 2 } + 2 x + 1 ) \\times 2",
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"( 3 x^{ 2 } + 2 x + 1 ) ( 3 x^{ 2 } + 2 x + 1 )",
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]
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for (i,e) in enumerate(exps):
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rend = tex(e)
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self.assertEqual(rend, wanted_render[i])
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def test_parentheses_int(self):
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exps = [\
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[ 2, 3, add, 4, mul],\
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[ 2, 3, mul, 4, add],\
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[ 2, 3, 4, mul, add],\
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[ 2, 3, 4, add, add],\
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[ 2, 3, op.add, 4, op.mul],\
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[ 2, 3, op.mul, 4, op.add],\
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[ 2, 3, 4, op.mul, op.add],\
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[ 2, 3, 4, op.add, op.add],\
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[ 2, 3, 4, op.add, op.sub],\
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]
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wanted_render = [\
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'( 2 + 3 ) \\times 4',\
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'2 \\times 3 + 4',\
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'2 + 3 \\times 4',\
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'2 + 3 + 4',\
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'2 - ( 3 + 4 )',\
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]
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for (i,e) in enumerate(exps):
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rend = tex(e)
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self.assertEqual(rend, wanted_render[i])
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def test_parentheses_poly(self):
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P = Polynom([1,2,3])
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Q = Polynom([4,5,6])
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exps = [\
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[ 2, P, op.add],\
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[ 2, P, op.sub],\
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[ 2, P, P, op.mul, op.sub],\
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[ Q, P, op.add],\
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[ Q, P, op.sub],\
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]
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wanted_render = [\
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'2 + 3 x^{ 2 } + 2 x + 1' ,\
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'2 - ( 3 x^{ 2 } + 2 x + 1 )' ,\
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'2 - ( 3 x^{ 2 } + 2 x + 1 ) ( 3 x^{ 2 } + 2 x + 1 )' ,\
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'6 x^{ 2 } + 5 x + 4 + 3 x^{ 2 } + 2 x + 1' ,\
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'6 x^{ 2 } + 5 x + 4 - ( 3 x^{ 2 } + 2 x + 1 )' ,\
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]
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for (i,e) in enumerate(exps):
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rend = tex(e)
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