start to reorganise files

This commit is contained in:
Benjamin Bertrand 2016-01-07 19:34:23 +03:00
parent a0cf4c1f67
commit 881de6dcb1
14 changed files with 96 additions and 86 deletions

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@ -1,11 +1,7 @@
#!/usr/bin/env python #!/usr/bin/env python
# encoding: utf-8 # encoding: utf-8
from .expression import Expression from .calculus import *
from .polynom import Polynom
from .fraction import Fraction
from .random_expression import random_str
from .render import txt,tex
# ----------------------------- # -----------------------------

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@ -0,0 +1,14 @@
#!/usr/bin/env python
# encoding: utf-8
from .expression import Expression
from .polynom import Polynom
from .fraction import Fraction
from .random_expression import random_str
#from .render import txt,tex
# -----------------------------
# Reglages pour 'vim'
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
# cursor: 16 del

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@ -199,8 +199,8 @@ class AbstractPolynom(Explicable):
>>> p = AbstractPolynom([1,[-2,-3]]) >>> p = AbstractPolynom([1,[-2,-3]])
>>> p.postfix_tokens >>> p.postfix_tokens
[2, 'x', '*', '-', 3, 'x', '*', '-', 1, '+'] [2, 'x', '*', '-', 3, 'x', '*', '-', 1, '+']
>>> from pymath.expression import Expression >>> from pymath.calculus.expression import Expression
>>> from pymath.operator import op >>> from pymath.calculus.operator import op
>>> e = Expression([2,3,op.add]) >>> e = Expression([2,3,op.add])
>>> p = AbstractPolynom([1,e]) >>> p = AbstractPolynom([1,e])
>>> p.postfix_tokens >>> p.postfix_tokens
@ -280,9 +280,9 @@ class AbstractPolynom(Explicable):
>>> P = AbstractPolynom([1,2,3]) >>> P = AbstractPolynom([1,2,3])
>>> P.conv2poly(1) >>> P.conv2poly(1)
< <class 'pymath.abstract_polynom.AbstractPolynom'> [1]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [1]>
>>> P.conv2poly(0) >>> P.conv2poly(0)
< <class 'pymath.abstract_polynom.AbstractPolynom'> [0]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0]>
""" """
if isNumber(other) and not isPolynom(other): if isNumber(other) and not isPolynom(other):
@ -300,20 +300,20 @@ class AbstractPolynom(Explicable):
>>> P = AbstractPolynom([1,2,3]) >>> P = AbstractPolynom([1,2,3])
>>> Q = P.reduce() >>> Q = P.reduce()
>>> Q >>> Q
< <class 'pymath.abstract_polynom.AbstractPolynom'> [1, 2, 3]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [1, 2, 3]>
>>> Q.steps >>> Q.steps
[] []
>>> P = AbstractPolynom([[1,2], [3,4,5], 6]) >>> P = AbstractPolynom([[1,2], [3,4,5], 6])
>>> Q = P.reduce() >>> Q = P.reduce()
>>> Q >>> Q
< <class 'pymath.abstract_polynom.AbstractPolynom'> [3, 12, 6]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [3, 12, 6]>
>>> for i in Q.explain(): >>> for i in Q.explain():
... print(i) ... print(i)
6 x^{ 2 } + ( 3 + 4 + 5 ) x + 1 + 2 6 x^{ 2 } + ( 3 + 4 + 5 ) x + 1 + 2
6 x^{ 2 } + ( 7 + 5 ) x + 3 6 x^{ 2 } + ( 7 + 5 ) x + 3
6 x^{ 2 } + 12 x + 3 6 x^{ 2 } + 12 x + 3
>>> Q.steps >>> Q.steps
[< <class 'pymath.abstract_polynom.AbstractPolynom'> [< <class 'pymath.expression.Expression'> [1, 2, '+'] >, < <class 'pymath.expression.Expression'> [3, 4, '+', 5, '+'] >, 6]>, < <class 'pymath.abstract_polynom.AbstractPolynom'> [3, < <class 'pymath.expression.Expression'> [7, 5, '+'] >, 6]>] [< <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [< <class 'pymath.calculus.expression.Expression'> [1, 2, '+'] >, < <class 'pymath.calculus.expression.Expression'> [3, 4, '+', 5, '+'] >, 6]>, < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [3, < <class 'pymath.calculus.expression.Expression'> [7, 5, '+'] >, 6]>]
""" """
# TODO: It doesn't not compute quick enough |ven. févr. 27 18:04:01 CET 2015 # TODO: It doesn't not compute quick enough |ven. févr. 27 18:04:01 CET 2015
@ -407,9 +407,9 @@ class AbstractPolynom(Explicable):
>>> Q = AbstractPolynom([4,5]) >>> Q = AbstractPolynom([4,5])
>>> R = P+Q >>> R = P+Q
>>> R >>> R
< <class 'pymath.abstract_polynom.AbstractPolynom'> [5, 7, 3]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [5, 7, 3]>
>>> R.steps >>> R.steps
[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 5, 'x', '*', 4, '+', '+'] >, < <class 'pymath.abstract_polynom.AbstractPolynom'> [< <class 'pymath.expression.Expression'> [1, 4, '+'] >, < <class 'pymath.expression.Expression'> [2, 5, '+'] >, 3]>] [< <class 'pymath.calculus.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 5, 'x', '*', 4, '+', '+'] >, < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [< <class 'pymath.calculus.expression.Expression'> [1, 4, '+'] >, < <class 'pymath.calculus.expression.Expression'> [2, 5, '+'] >, 3]>]
""" """
o_poly = self.conv2poly(other) o_poly = self.conv2poly(other)
@ -431,9 +431,9 @@ class AbstractPolynom(Explicable):
>>> P = AbstractPolynom([1,2,3]) >>> P = AbstractPolynom([1,2,3])
>>> Q = -P >>> Q = -P
>>> Q >>> Q
< <class 'pymath.abstract_polynom.AbstractPolynom'> [-1, -2, -3]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [-1, -2, -3]>
>>> Q.steps >>> Q.steps
[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', '-'] >] [< <class 'pymath.calculus.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', '-'] >]
""" """
ini_step = [Expression(self.postfix_tokens + [op.sub1])] ini_step = [Expression(self.postfix_tokens + [op.sub1])]
ans = AbstractPolynom([-i for i in self._coef], letter = self._letter).simplify() ans = AbstractPolynom([-i for i in self._coef], letter = self._letter).simplify()
@ -447,9 +447,9 @@ class AbstractPolynom(Explicable):
>>> Q = AbstractPolynom([4,5,6]) >>> Q = AbstractPolynom([4,5,6])
>>> R = P - Q >>> R = P - Q
>>> R >>> R
< <class 'pymath.abstract_polynom.AbstractPolynom'> [-3, -3, -3]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [-3, -3, -3]>
>>> R.steps >>> R.steps
[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 6, 'x', 2, '^', '*', 5, 'x', '*', '+', 4, '+', '-'] >, < <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 6, 'x', 2, '^', '*', '-', 5, 'x', '*', '-', 4, '-', '+'] >, < <class 'pymath.abstract_polynom.AbstractPolynom'> [< <class 'pymath.expression.Expression'> [1, -4, '+'] >, < <class 'pymath.expression.Expression'> [2, -5, '+'] >, < <class 'pymath.expression.Expression'> [3, -6, '+'] >]>] [< <class 'pymath.calculus.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 6, 'x', 2, '^', '*', 5, 'x', '*', '+', 4, '+', '-'] >, < <class 'pymath.calculus.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 6, 'x', 2, '^', '*', '-', 5, 'x', '*', '-', 4, '-', '+'] >, < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [< <class 'pymath.calculus.expression.Expression'> [1, -4, '+'] >, < <class 'pymath.calculus.expression.Expression'> [2, -5, '+'] >, < <class 'pymath.calculus.expression.Expression'> [3, -6, '+'] >]>]
>>> for i in R.explain(): >>> for i in R.explain():
... print(i) ... print(i)
3 x^{ 2 } + 2 x + 1 - ( 6 x^{ 2 } + 5 x + 4 ) 3 x^{ 2 } + 2 x + 1 - ( 6 x^{ 2 } + 5 x + 4 )
@ -477,29 +477,29 @@ class AbstractPolynom(Explicable):
>>> p = AbstractPolynom([1,2]) >>> p = AbstractPolynom([1,2])
>>> p*3 >>> p*3
< <class 'pymath.abstract_polynom.AbstractPolynom'> [3, 6]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [3, 6]>
>>> (p*3).steps >>> (p*3).steps
[[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 3, '*'] >], < <class 'pymath.abstract_polynom.AbstractPolynom'> [3, < <class 'pymath.expression.Expression'> [2, 3, '*'] >]>] [[< <class 'pymath.calculus.expression.Expression'> [2, 'x', '*', 1, '+', 3, '*'] >], < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [3, < <class 'pymath.calculus.expression.Expression'> [2, 3, '*'] >]>]
>>> q = AbstractPolynom([0,0,4]) >>> q = AbstractPolynom([0,0,4])
>>> q*3 >>> q*3
< <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, 12]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 0, 12]>
>>> (q*3).steps >>> (q*3).steps
[[< <class 'pymath.expression.Expression'> [4, 'x', 2, '^', '*', 3, '*'] >], < <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, < <class 'pymath.expression.Expression'> [4, 3, '*'] >]>] [[< <class 'pymath.calculus.expression.Expression'> [4, 'x', 2, '^', '*', 3, '*'] >], < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 0, < <class 'pymath.calculus.expression.Expression'> [4, 3, '*'] >]>]
>>> r = AbstractPolynom([0,1]) >>> r = AbstractPolynom([0,1])
>>> r*3 >>> r*3
< <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 3]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 3]>
>>> (r*3).steps >>> (r*3).steps
[[< <class 'pymath.expression.Expression'> ['x', 3, '*'] >]] [[< <class 'pymath.calculus.expression.Expression'> ['x', 3, '*'] >]]
>>> p*q >>> p*q
< <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, 4, 8]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 0, 4, 8]>
>>> (p*q).steps >>> (p*q).steps
[[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 4, 'x', 2, '^', '*', '*'] >], < <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, 4, < <class 'pymath.expression.Expression'> [2, 4, '*'] >]>] [[< <class 'pymath.calculus.expression.Expression'> [2, 'x', '*', 1, '+', 4, 'x', 2, '^', '*', '*'] >], < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 0, 4, < <class 'pymath.calculus.expression.Expression'> [2, 4, '*'] >]>]
>>> p*r >>> p*r
< <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 1, 2]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 1, 2]>
>>> P = AbstractPolynom([1,2,3]) >>> P = AbstractPolynom([1,2,3])
>>> Q = AbstractPolynom([4,5,6]) >>> Q = AbstractPolynom([4,5,6])
>>> P*Q >>> P*Q
< <class 'pymath.abstract_polynom.AbstractPolynom'> [4, 13, 28, 27, 18]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [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)
@ -542,20 +542,20 @@ class AbstractPolynom(Explicable):
>>> p = AbstractPolynom([0,0,3]) >>> p = AbstractPolynom([0,0,3])
>>> p**2 >>> p**2
< <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, 0, 0, 9]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 0, 0, 0, 9]>
>>> (p**2).steps >>> (p**2).steps
[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, '^'] >, < <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, 0, 0, < <class 'pymath.expression.Expression'> [3, 2, '^'] >]>] [< <class 'pymath.calculus.expression.Expression'> [3, 'x', 2, '^', '*', 2, '^'] >, < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 0, 0, 0, < <class 'pymath.calculus.expression.Expression'> [3, 2, '^'] >]>]
>>> p = AbstractPolynom([1,2]) >>> p = AbstractPolynom([1,2])
>>> p**2 >>> p**2
< <class 'pymath.abstract_polynom.AbstractPolynom'> [1, 4, 4]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [1, 4, 4]>
>>> (p**2).steps >>> (p**2).steps
[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 2, '^'] >, [< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 2, 'x', '*', 1, '+', '*'] >], < <class 'pymath.abstract_polynom.AbstractPolynom'> [1, < <class 'pymath.expression.Expression'> [2, 2, '+'] >, < <class 'pymath.expression.Expression'> [2, 2, '*'] >]>] [< <class 'pymath.calculus.expression.Expression'> [2, 'x', '*', 1, '+', 2, '^'] >, [< <class 'pymath.calculus.expression.Expression'> [2, 'x', '*', 1, '+', 2, 'x', '*', 1, '+', '*'] >], < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [1, < <class 'pymath.calculus.expression.Expression'> [2, 2, '+'] >, < <class 'pymath.calculus.expression.Expression'> [2, 2, '*'] >]>]
>>> p = AbstractPolynom([0,0,1]) >>> p = AbstractPolynom([0,0,1])
>>> p**3 >>> p**3
< <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, 0, 0, 0, 0, 1]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 0, 0, 0, 0, 0, 1]>
>>> p = AbstractPolynom([1,2,3]) >>> p = AbstractPolynom([1,2,3])
>>> p**2 >>> p**2
< <class 'pymath.abstract_polynom.AbstractPolynom'> [1, 4, 10, 12, 9]> < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [1, 4, 10, 12, 9]>
""" """
if not type(power): if not type(power):

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@ -56,11 +56,11 @@ class Expression(Explicable):
>>> with Expression.tmp_render(): >>> with Expression.tmp_render():
... for i in exp.simplify().explain(): ... for i in exp.simplify().explain():
... i ... i
< <class 'pymath.expression.Expression'> [2, 3, 5, '/', '*'] > < <class 'pymath.calculus.expression.Expression'> [2, 3, 5, '/', '*'] >
< <class 'pymath.expression.Expression'> [2, < Fraction 3 / 5>, '*'] > < <class 'pymath.calculus.expression.Expression'> [2, < Fraction 3 / 5>, '*'] >
< <class 'pymath.expression.Expression'> [3, 5, '/', 2, '*'] > < <class 'pymath.calculus.expression.Expression'> [3, 5, '/', 2, '*'] >
< <class 'pymath.expression.Expression'> [3, 2, '*', 5, '/'] > < <class 'pymath.calculus.expression.Expression'> [3, 2, '*', 5, '/'] >
< <class 'pymath.expression.Expression'> [6, 5, '/'] > < <class 'pymath.calculus.expression.Expression'> [6, 5, '/'] >
>>> from .render import txt >>> from .render import txt
>>> with Expression.tmp_render(txt): >>> with Expression.tmp_render(txt):
... for i in exp.simplify().explain(): ... for i in exp.simplify().explain():

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@ -142,28 +142,28 @@ class Fraction(Explicable):
>>> f + g >>> f + g
< Fraction 7 / 6> < Fraction 7 / 6>
>>> print("\\n".join([repr(i) for i in (f+g).steps])) >>> print("\\n".join([repr(i) for i in (f+g).steps]))
< <class 'pymath.expression.Expression'> [1, 2, '/', 2, 3, '/', '+'] > < <class 'pymath.calculus.expression.Expression'> [1, 2, '/', 2, 3, '/', '+'] >
< <class 'pymath.expression.Expression'> [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '+'] > < <class 'pymath.calculus.expression.Expression'> [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '+'] >
< <class 'pymath.expression.Expression'> [3, 6, '/', 4, 6, '/', '+'] > < <class 'pymath.calculus.expression.Expression'> [3, 6, '/', 4, 6, '/', '+'] >
< <class 'pymath.expression.Expression'> [< Fraction 3 / 6>, < Fraction 4 / 6>, '+'] > < <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 6>, < Fraction 4 / 6>, '+'] >
< <class 'pymath.expression.Expression'> [3, 6, '/', 4, 6, '/', '+'] > < <class 'pymath.calculus.expression.Expression'> [3, 6, '/', 4, 6, '/', '+'] >
< <class 'pymath.expression.Expression'> [3, 4, '+', 6, '/'] > < <class 'pymath.calculus.expression.Expression'> [3, 4, '+', 6, '/'] >
>>> f + 2 >>> f + 2
< Fraction 5 / 2> < Fraction 5 / 2>
>>> print("\\n".join([repr(i) for i in (f+2).steps])) >>> print("\\n".join([repr(i) for i in (f+2).steps]))
< <class 'pymath.expression.Expression'> [1, 2, '/', 2, '+'] > < <class 'pymath.calculus.expression.Expression'> [1, 2, '/', 2, '+'] >
< <class 'pymath.expression.Expression'> [1, 1, '*', 2, 1, '*', '/', 2, 2, '*', 1, 2, '*', '/', '+'] > < <class 'pymath.calculus.expression.Expression'> [1, 1, '*', 2, 1, '*', '/', 2, 2, '*', 1, 2, '*', '/', '+'] >
< <class 'pymath.expression.Expression'> [1, 2, '/', 4, 2, '/', '+'] > < <class 'pymath.calculus.expression.Expression'> [1, 2, '/', 4, 2, '/', '+'] >
< <class 'pymath.expression.Expression'> [< Fraction 1 / 2>, < Fraction 4 / 2>, '+'] > < <class 'pymath.calculus.expression.Expression'> [< Fraction 1 / 2>, < Fraction 4 / 2>, '+'] >
< <class 'pymath.expression.Expression'> [1, 2, '/', 4, 2, '/', '+'] > < <class 'pymath.calculus.expression.Expression'> [1, 2, '/', 4, 2, '/', '+'] >
< <class 'pymath.expression.Expression'> [1, 4, '+', 2, '/'] > < <class 'pymath.calculus.expression.Expression'> [1, 4, '+', 2, '/'] >
>>> f = Fraction(3, 4) >>> f = Fraction(3, 4)
>>> g = Fraction(5, 4) >>> g = Fraction(5, 4)
>>> f + g >>> f + g
2 2
>>> print("\\n".join([repr(i) for i in (f+g).steps])) >>> print("\\n".join([repr(i) for i in (f+g).steps]))
< <class 'pymath.expression.Expression'> [3, 4, '/', 5, 4, '/', '+'] > < <class 'pymath.calculus.expression.Expression'> [3, 4, '/', 5, 4, '/', '+'] >
< <class 'pymath.expression.Expression'> [3, 5, '+', 4, '/'] > < <class 'pymath.calculus.expression.Expression'> [3, 5, '+', 4, '/'] >
>>> f+0 >>> f+0
< Fraction 3 / 4> < Fraction 3 / 4>
>>> (f+0).steps >>> (f+0).steps
@ -211,12 +211,12 @@ class Fraction(Explicable):
>>> f - g >>> f - g
< Fraction -1 / 6> < Fraction -1 / 6>
>>> print("\\n".join([repr(i) for i in (f-g).steps])) >>> print("\\n".join([repr(i) for i in (f-g).steps]))
< <class 'pymath.expression.Expression'> [1, 2, '/', 2, 3, '/', '-'] > < <class 'pymath.calculus.expression.Expression'> [1, 2, '/', 2, 3, '/', '-'] >
< <class 'pymath.expression.Expression'> [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '-'] > < <class 'pymath.calculus.expression.Expression'> [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '-'] >
< <class 'pymath.expression.Expression'> [3, 6, '/', 4, 6, '/', '-'] > < <class 'pymath.calculus.expression.Expression'> [3, 6, '/', 4, 6, '/', '-'] >
< <class 'pymath.expression.Expression'> [< Fraction 3 / 6>, < Fraction 4 / 6>, '-'] > < <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 6>, < Fraction 4 / 6>, '-'] >
< <class 'pymath.expression.Expression'> [3, 6, '/', 4, 6, '/', '-'] > < <class 'pymath.calculus.expression.Expression'> [3, 6, '/', 4, 6, '/', '-'] >
< <class 'pymath.expression.Expression'> [3, 4, '-', 6, '/'] > < <class 'pymath.calculus.expression.Expression'> [3, 4, '-', 6, '/'] >
>>> f - 0 >>> f - 0
< Fraction 1 / 2> < Fraction 1 / 2>
>>> (f-0).steps >>> (f-0).steps
@ -269,7 +269,7 @@ class Fraction(Explicable):
>>> -f >>> -f
< Fraction 1 / 2> < Fraction 1 / 2>
>>> (-f).steps >>> (-f).steps
[< <class 'pymath.expression.Expression'> [-1, -2, '/'] >] [< <class 'pymath.calculus.expression.Expression'> [-1, -2, '/'] >]
""" """
f = Fraction(-self._num, self._denom) f = Fraction(-self._num, self._denom)
@ -285,11 +285,11 @@ class Fraction(Explicable):
>>> f*g >>> f*g
< Fraction 1 / 3> < Fraction 1 / 3>
>>> print("\\n".join([repr(i) for i in (f*g).steps])) >>> print("\\n".join([repr(i) for i in (f*g).steps]))
< <class 'pymath.expression.Expression'> [1, 2, '/', 2, 3, '/', '*'] > < <class 'pymath.calculus.expression.Expression'> [1, 2, '/', 2, 3, '/', '*'] >
< <class 'pymath.expression.Expression'> [1, 1, 2, '*', '*', 1, 2, '*', 3, '*', '/'] > < <class 'pymath.calculus.expression.Expression'> [1, 1, 2, '*', '*', 1, 2, '*', 3, '*', '/'] >
< <class 'pymath.expression.Expression'> [1, 2, '*', 2, 3, '*', '/'] > < <class 'pymath.calculus.expression.Expression'> [1, 2, '*', 2, 3, '*', '/'] >
< <class 'pymath.expression.Expression'> [2, 6, '/'] > < <class 'pymath.calculus.expression.Expression'> [2, 6, '/'] >
< <class 'pymath.expression.Expression'> [1, 2, '*', 3, 2, '*', '/'] > < <class 'pymath.calculus.expression.Expression'> [1, 2, '*', 3, 2, '*', '/'] >
>>> f * 0 >>> f * 0
0 0
>>> (f*0).steps >>> (f*0).steps
@ -301,9 +301,9 @@ class Fraction(Explicable):
>>> f*4 >>> f*4
2 2
>>> print("\\n".join([repr(i) for i in (f*4).steps])) >>> print("\\n".join([repr(i) for i in (f*4).steps]))
< <class 'pymath.expression.Expression'> [1, 2, '/', 4, '*'] > < <class 'pymath.calculus.expression.Expression'> [1, 2, '/', 4, '*'] >
< <class 'pymath.expression.Expression'> [1, 2, '*', 2, '*', 1, 2, '*', '/'] > < <class 'pymath.calculus.expression.Expression'> [1, 2, '*', 2, '*', 1, 2, '*', '/'] >
< <class 'pymath.expression.Expression'> [2, 2, '*', 2, '/'] > < <class 'pymath.calculus.expression.Expression'> [2, 2, '*', 2, '/'] >
""" """
steps = [] steps = []
@ -409,16 +409,16 @@ class Fraction(Explicable):
>>> f**3 >>> f**3
< Fraction 27 / 64> < Fraction 27 / 64>
>>> print("\\n".join([repr(i) for i in (f**3).steps])) >>> print("\\n".join([repr(i) for i in (f**3).steps]))
< <class 'pymath.expression.Expression'> [3, 4, '/', 3, '^'] > < <class 'pymath.calculus.expression.Expression'> [3, 4, '/', 3, '^'] >
< <class 'pymath.expression.Expression'> [3, 3, '^', 4, 3, '^', '/'] > < <class 'pymath.calculus.expression.Expression'> [3, 3, '^', 4, 3, '^', '/'] >
>>> f = Fraction(6, 4) >>> f = Fraction(6, 4)
>>> f**3 >>> f**3
< Fraction 27 / 8> < Fraction 27 / 8>
>>> print("\\n".join([repr(i) for i in (f**3).steps])) >>> print("\\n".join([repr(i) for i in (f**3).steps]))
< <class 'pymath.expression.Expression'> [6, 4, '/', 3, '^'] > < <class 'pymath.calculus.expression.Expression'> [6, 4, '/', 3, '^'] >
< <class 'pymath.expression.Expression'> [6, 3, '^', 4, 3, '^', '/'] > < <class 'pymath.calculus.expression.Expression'> [6, 3, '^', 4, 3, '^', '/'] >
< <class 'pymath.expression.Expression'> [216, 64, '/'] > < <class 'pymath.calculus.expression.Expression'> [216, 64, '/'] >
< <class 'pymath.expression.Expression'> [27, 8, '*', 8, 8, '*', '/'] > < <class 'pymath.calculus.expression.Expression'> [27, 8, '*', 8, 8, '*', '/'] >
""" """
if not type(power) == int: if not type(power) == int:

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@ -314,7 +314,7 @@ def isPolynom(exp):
:param exp: an expression :param exp: an expression
:returns: True if the expression can be a polynom and false otherwise :returns: True if the expression can be a polynom and false otherwise
>>> from pymath.polynom import Polynom >>> from pymath.calculus.polynom import Polynom
>>> p = Polynom([1,2]) >>> p = Polynom([1,2])
>>> isPolynom(p) >>> isPolynom(p)
1 1
@ -335,11 +335,11 @@ def isNumerand(exp):
>>> isNumerand(1) >>> isNumerand(1)
1 1
>>> from pymath.polynom import Polynom >>> from pymath.calculus.polynom import Polynom
>>> p = Polynom([1,2]) >>> p = Polynom([1,2])
>>> isNumerand(p) >>> isNumerand(p)
1 1
>>> from pymath.fraction import Fraction >>> from pymath.calculus.fraction import Fraction
>>> f = Fraction(12) >>> f = Fraction(12)
>>> isNumerand(f) >>> isNumerand(f)
1 1

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@ -58,15 +58,15 @@ class Polynom(AbstractPolynom):
/!\ variables need to be in brackets {} /!\ variables need to be in brackets {}
>>> Polynom.random(["{b}", "{a}"]) # doctest:+ELLIPSIS >>> Polynom.random(["{b}", "{a}"]) # doctest:+ELLIPSIS
< <class 'pymath.polynom.Polynom'> ... < <class 'pymath.calculus.polynom.Polynom'> ...
>>> Polynom.random(degree = 2) # doctest:+ELLIPSIS >>> Polynom.random(degree = 2) # doctest:+ELLIPSIS
< <class 'pymath.polynomDeg2.Polynom_deg2'> ... < <class 'pymath.calculus.polynomDeg2.Polynom_deg2'> ...
>>> Polynom.random(degree = 3) # doctest:+ELLIPSIS >>> Polynom.random(degree = 3) # doctest:+ELLIPSIS
< <class 'pymath.polynom.Polynom'> ... < <class 'pymath.calculus.polynom.Polynom'> ...
>>> 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)
< <class 'pymath.polynomDeg2.Polynom_deg2'> ... < <class 'pymath.calculus.polynomDeg2.Polynom_deg2'> ...
>>> Polynom.random(["{c}", "{b}", "{a}"], conditions=["{b**2-4*a*c}>0"]) # Same as above >>> Polynom.random(["{c}", "{b}", "{a}"], conditions=["{b**2-4*a*c}>0"]) # Same as above
< <class 'pymath.polynomDeg2.Polynom_deg2'> ... < <class 'pymath.calculus.polynomDeg2.Polynom_deg2'> ...
""" """
if (degree > 0 and degree < 26): if (degree > 0 and degree < 26):
@ -151,7 +151,7 @@ class Polynom(AbstractPolynom):
>>> P = Polynom([1, 2, 3]) >>> P = Polynom([1, 2, 3])
>>> Q = P.derivate() >>> Q = P.derivate()
>>> Q >>> Q
< <class 'pymath.polynom.Polynom'> [2, 6]> < <class 'pymath.calculus.polynom.Polynom'> [2, 6]>
>>> print(Q.name) >>> print(Q.name)
P' P'
>>> for i in Q.explain(): >>> for i in Q.explain():

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@ -2,7 +2,7 @@
# encoding: utf-8 # encoding: utf-8
from .generic import Stack, isOperator, isNumber, isPolynom from .generic import Stack, isOperator, isNumber, isPolynom
from pymath.operator import op from .operator import op
def str2tokens(exp): def str2tokens(exp):
""" Parse the string into tokens then turn it into postfix form """ Parse the string into tokens then turn it into postfix form
@ -12,7 +12,7 @@ def str2tokens(exp):
>>> str2tokens('2*3+4') >>> str2tokens('2*3+4')
[2, 3, '*', 4, '+'] [2, 3, '*', 4, '+']
>>> str2tokens('2x+4') >>> str2tokens('2x+4')
[2, < <class 'pymath.polynom.Polynom'> [0, 1]>, '*', 4, '+'] [2, < <class 'pymath.calculus.polynom.Polynom'> [0, 1]>, '*', 4, '+']
""" """
in_tokens = str2in_tokens(exp) in_tokens = str2in_tokens(exp)
post_tokens = in2post_fix(in_tokens) post_tokens = in2post_fix(in_tokens)
@ -71,7 +71,7 @@ def str2in_tokens(exp):
or tokens[-1] == ")" \ or tokens[-1] == ")" \
or isPolynom(tokens[-1]): or isPolynom(tokens[-1]):
tokens.append("*") tokens.append("*")
from pymath.polynom import Polynom from pymath.calculus.polynom import Polynom
tokens.append(Polynom([0,1], letter = character)) tokens.append(Polynom([0,1], letter = character))
elif character == ".": elif character == ".":