solve bugs with poly_facto still one!
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Lafrite
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@ -277,9 +277,9 @@ class AbstractPolynom(Explicable):
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>>> P = AbstractPolynom([1,2,3])
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>>> P.conv2poly(1)
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< AbstractPolynom [1]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [1]>
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>>> P.conv2poly(0)
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< AbstractPolynom [0]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [0]>
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"""
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if isNumber(other) and not isPolynom(other):
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@ -297,15 +297,15 @@ class AbstractPolynom(Explicable):
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>>> P = AbstractPolynom([1,2,3])
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>>> Q = P.reduce()
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>>> Q
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< AbstractPolynom [1, 2, 3]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [1, 2, 3]>
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>>> Q.steps
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[]
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>>> P = AbstractPolynom([[1,2], [3,4,5], 6])
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>>> Q = P.reduce()
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>>> Q
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< AbstractPolynom [3, 12, 6]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [3, 12, 6]>
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>>> Q.steps
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[< AbstractPolynom [< <class 'pymath.expression.Expression'> [1, 2, '+'] >, < <class 'pymath.expression.Expression'> [3, 4, '+', 5, '+'] >, 6]>, < AbstractPolynom [< <class 'pymath.expression.Expression'> [1, 2, '+'] >, < <class 'pymath.expression.Expression'> [7, 5, '+'] >, 6]>, < AbstractPolynom [3, < <class 'pymath.expression.Expression'> [7, 5, '+'] >, 6]>]
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[< <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]>]
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"""
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# TODO: It doesn't not compute quick enough |ven. févr. 27 18:04:01 CET 2015
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@ -399,9 +399,9 @@ class AbstractPolynom(Explicable):
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>>> Q = AbstractPolynom([4,5])
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>>> R = P+Q
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>>> R
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< AbstractPolynom [5, 7, 3]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [5, 7, 3]>
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>>> R.steps
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[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 5, 'x', '*', 4, '+', '+'] >, < AbstractPolynom [< <class 'pymath.expression.Expression'> [1, 4, '+'] >, < <class 'pymath.expression.Expression'> [2, 5, '+'] >, 3]>, < AbstractPolynom [< <class 'pymath.expression.Expression'> [1, 4, '+'] >, < <class 'pymath.expression.Expression'> [2, 5, '+'] >, 3]>]
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[< <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]>]
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"""
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o_poly = self.conv2poly(other)
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@ -423,7 +423,7 @@ class AbstractPolynom(Explicable):
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>>> P = AbstractPolynom([1,2,3])
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>>> Q = -P
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>>> Q
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< AbstractPolynom [-1, -2, -3]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [-1, -2, -3]>
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>>> Q.steps
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[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', '-'] >]
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"""
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@ -439,9 +439,15 @@ class AbstractPolynom(Explicable):
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>>> Q = AbstractPolynom([4,5,6])
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>>> R = P - Q
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>>> R
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< AbstractPolynom [-3, -3, -3]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [-3, -3, -3]>
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>>> R.steps
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[< <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, '-', '+'] >, < AbstractPolynom [< <class 'pymath.expression.Expression'> [1, -4, '+'] >, < <class 'pymath.expression.Expression'> [2, -5, '+'] >, < <class 'pymath.expression.Expression'> [3, -6, '+'] >]>, < AbstractPolynom [< <class 'pymath.expression.Expression'> [1, -4, '+'] >, < <class 'pymath.expression.Expression'> [2, -5, '+'] >, < <class 'pymath.expression.Expression'> [3, -6, '+'] >]>]
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[< <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, '+'] >]>]
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>>> for i in R.explain():
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... print(i)
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3 x^{ 2 } + 2 x + 1 - ( 6 x^{ 2 } + 5 x + 4 )
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3 x^{ 2 } + 2 x + 1 - 6 x^{ 2 } - 5 x - 4
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( 3 - 6 ) x^{ 2 } + ( 2 - 5 ) x + 1 - 4
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- 3 x^{ 2 } - 3 x - 3
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"""
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o_poly = self.conv2poly(other)
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ini_step = [Expression(self.postfix_tokens + o_poly.postfix_tokens + [op.sub])]
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@ -463,29 +469,29 @@ class AbstractPolynom(Explicable):
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>>> p = AbstractPolynom([1,2])
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>>> p*3
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< AbstractPolynom [3, 6]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [3, 6]>
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>>> (p*3).steps
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[[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 3, '*'] >], < AbstractPolynom [3, < <class 'pymath.expression.Expression'> [2, 3, '*'] >]>, < AbstractPolynom [3, < <class 'pymath.expression.Expression'> [2, 3, '*'] >]>]
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[[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 3, '*'] >], < <class 'pymath.abstract_polynom.AbstractPolynom'> [3, < <class 'pymath.expression.Expression'> [2, 3, '*'] >]>]
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>>> q = AbstractPolynom([0,0,4])
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>>> q*3
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< AbstractPolynom [0, 0, 12]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, 12]>
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>>> (q*3).steps
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[[< <class 'pymath.expression.Expression'> [4, 'x', 2, '^', '*', 3, '*'] >], < AbstractPolynom [0, 0, < <class 'pymath.expression.Expression'> [4, 3, '*'] >]>, < AbstractPolynom [0, 0, < <class 'pymath.expression.Expression'> [4, 3, '*'] >]>]
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[[< <class 'pymath.expression.Expression'> [4, 'x', 2, '^', '*', 3, '*'] >], < <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, < <class 'pymath.expression.Expression'> [4, 3, '*'] >]>]
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>>> r = AbstractPolynom([0,1])
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>>> r*3
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< AbstractPolynom [0, 3]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 3]>
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>>> (r*3).steps
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[[< <class 'pymath.expression.Expression'> ['x', 3, '*'] >]]
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>>> p*q
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< AbstractPolynom [0, 0, 4, 8]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, 4, 8]>
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>>> (p*q).steps
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[[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 4, 'x', 2, '^', '*', '*'] >], < AbstractPolynom [0, 0, 4, < <class 'pymath.expression.Expression'> [2, 4, '*'] >]>, < AbstractPolynom [0, 0, 4, < <class 'pymath.expression.Expression'> [2, 4, '*'] >]>]
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[[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 4, 'x', 2, '^', '*', '*'] >], < <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, 4, < <class 'pymath.expression.Expression'> [2, 4, '*'] >]>]
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>>> p*r
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< AbstractPolynom [0, 1, 2]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 1, 2]>
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>>> P = AbstractPolynom([1,2,3])
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>>> Q = AbstractPolynom([4,5,6])
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>>> P*Q
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< AbstractPolynom [4, 13, 28, 27, 18]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [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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@ -528,20 +534,20 @@ class AbstractPolynom(Explicable):
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>>> p = AbstractPolynom([0,0,3])
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>>> p**2
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< AbstractPolynom [0, 0, 0, 0, 9]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, 0, 0, 9]>
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>>> (p**2).steps
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[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, '^'] >, < AbstractPolynom [0, 0, 0, 0, < <class 'pymath.expression.Expression'> [3, 2, '^'] >]>, < AbstractPolynom [0, 0, 0, 0, < <class 'pymath.expression.Expression'> [3, 2, '^'] >]>]
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[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, '^'] >, < <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, 0, 0, < <class 'pymath.expression.Expression'> [3, 2, '^'] >]>]
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>>> p = AbstractPolynom([1,2])
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>>> p**2
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< AbstractPolynom [1, 4, 4]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [1, 4, 4]>
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>>> (p**2).steps
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[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 2, '^'] >, [< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 2, 'x', '*', 1, '+', '*'] >], < AbstractPolynom [1, < <class 'pymath.expression.Expression'> [2, 2, '+'] >, < <class 'pymath.expression.Expression'> [2, 2, '*'] >]>, < AbstractPolynom [1, < <class 'pymath.expression.Expression'> [2, 2, '+'] >, < <class 'pymath.expression.Expression'> [2, 2, '*'] >]>]
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[< <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, '*'] >]>]
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>>> p = AbstractPolynom([0,0,1])
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>>> p**3
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< AbstractPolynom [0, 0, 0, 0, 0, 0, 1]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [0, 0, 0, 0, 0, 0, 1]>
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>>> p = AbstractPolynom([1,2,3])
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>>> p**2
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< AbstractPolynom [1, 4, 10, 12, 9]>
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< <class 'pymath.abstract_polynom.AbstractPolynom'> [1, 4, 10, 12, 9]>
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"""
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if not type(power):
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@ -18,11 +18,15 @@ def polynom_factory(func):
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@wraps(func)
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def wrapper(*args, **kwrds):
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P = func(*args, **kwrds)
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if isinstance(P,Polynom) and P.degree == 2:
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if issubclass(type(P),AbstractPolynom) and P.degree == 2:
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from .polynomDeg2 import Polynom_deg2
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new_P = Polynom_deg2(poly=P)
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new_P.steps = P.steps
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return new_P
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elif issubclass(type(P),AbstractPolynom):
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new_P = Polynom(poly=P)
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new_P.steps = P.steps
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return new_P
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else:
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return P
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return wrapper
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@ -54,13 +58,15 @@ class Polynom(AbstractPolynom):
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/!\ variables need to be in brackets {}
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>>> Polynom.random(["{b}", "{a}"]) # doctest:+ELLIPSIS
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< Polynom ...
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< <class 'pymath.polynom.Polynom'> ...
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>>> Polynom.random(degree = 2) # doctest:+ELLIPSIS
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< Polynom ...
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< <class 'pymath.polynomDeg2.Polynom_deg2'> ...
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>>> Polynom.random(degree = 3) # doctest:+ELLIPSIS
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< <class 'pymath.polynom.Polynom'> ...
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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 ...
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< <class 'pymath.polynomDeg2.Polynom_deg2'> ...
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>>> Polynom.random(["{c}", "{b}", "{a}"], conditions=["{b**2-4*a*c}>0"]) # Same as above
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< Polynom ...
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< <class 'pymath.polynomDeg2.Polynom_deg2'> ...
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"""
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if (degree > 0 and degree < 26):
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@ -76,7 +82,7 @@ class Polynom(AbstractPolynom):
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# Création du polynom
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return Polynom(coefs = coefs, letter = letter, name = name)
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def __init__(self, coefs = [1], letter = "x", name = "P"):
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def __init__(self, coefs = [1], letter = "x", name = "P", poly = 0):
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"""Initiate the polynom
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:param coef: coefficients of the polynom (ascending degree sorted)
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@ -105,6 +111,11 @@ class Polynom(AbstractPolynom):
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>>> Polynom([1, 2, 3], name = "Q").name
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'Q'
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"""
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if poly:
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coefs = poly._coef
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letter = poly._letter
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name = poly.name
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super(Polynom, self).__init__(coefs, letter, name)
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def __call__(self, value):
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@ -140,7 +151,7 @@ class Polynom(AbstractPolynom):
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>>> P = Polynom([1, 2, 3])
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>>> Q = P.derivate()
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>>> Q
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< Polynom [2, 6]>
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< <class 'pymath.polynom.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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@ -5,6 +5,7 @@ from .polynom import Polynom
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from .expression import Expression
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from .operator import op
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from .random_expression import RdExpression
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from math import sqrt
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__all__ = ["Polynom_deg2"]
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@ -219,10 +220,6 @@ class Polynom_deg2(Polynom):
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return "\\tkzTabVar{-/{}, +/{$" + str(beta) + "$}, -/{}}"
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if __name__ == '__main__':
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# from .render import txt
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# with Expression.tmp_render(txt):
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@ -12,7 +12,7 @@ def str2tokens(exp):
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>>> str2tokens('2*3+4')
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[2, 3, '*', 4, '+']
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>>> str2tokens('2x+4')
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[2, < Polynom [0, 1]>, '*', 4, '+']
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[2, < <class 'pymath.polynom.Polynom'> [0, 1]>, '*', 4, '+']
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"""
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in_tokens = str2in_tokens(exp)
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post_tokens = in2post_fix(in_tokens)
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