pass doctest for abstract_polynom expression fraction generic and
polynom
This commit is contained in:
Benjamin Bertrand
parent
c2cdbea001
commit
1b2d778ff6
@ -42,15 +42,15 @@ class AbstractPolynom(Explicable):
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>>> P = AbstractPolynom([1, 2, 3])
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>>> P.mainOp
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'+'
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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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>>> AbstractPolynom([1]).mainOp
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'*'
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*
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>>> AbstractPolynom([0, 0, 3]).mainOp
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'*'
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*
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>>> AbstractPolynom([1, 2, 3])._letter
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'x'
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>>> AbstractPolynom([1, 2, 3], "y")._letter
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@ -139,17 +139,17 @@ class AbstractPolynom(Explicable):
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>>> p = AbstractPolynom()
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>>> p.coef_postfix([3],2)
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[3, 'x', 2, '^', '*']
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[3, 'x', 2, ^, *]
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>>> p.coef_postfix([0],1)
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[]
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>>> p.coef_postfix([3],0)
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[3]
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>>> p.coef_postfix([3],1)
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[3, 'x', '*']
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[3, 'x', *]
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>>> p.coef_postfix([1],1)
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['x']
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>>> p.coef_postfix([1],2)
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['x', 2, '^']
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['x', 2, ^]
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"""
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ans = []
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@ -173,13 +173,13 @@ class AbstractPolynom(Explicable):
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>>> p = AbstractPolynom([1, 2])
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>>> p.postfix_tokens
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[2, 'x', '*', 1, '+']
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[2, 'x', *, 1, +]
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>>> p = AbstractPolynom([1, -2])
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>>> p.postfix_tokens
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[2, 'x', '*', '-', 1, '+']
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[2, 'x', *, -, 1, +]
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>>> p = AbstractPolynom([1,2,3])
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>>> p.postfix_tokens
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[3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+']
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[3, 'x', 2, ^, *, 2, 'x', *, +, 1, +]
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>>> p = AbstractPolynom([1])
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>>> p.postfix_tokens
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[1]
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@ -188,19 +188,19 @@ class AbstractPolynom(Explicable):
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[0]
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>>> p = AbstractPolynom([1,[2,3]])
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>>> p.postfix_tokens
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[2, 'x', '*', 3, 'x', '*', '+', 1, '+']
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[2, 'x', *, 3, 'x', *, +, 1, +]
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>>> p = AbstractPolynom([1,[2,-3]])
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>>> p.postfix_tokens
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[2, 'x', '*', 3, 'x', '*', '-', 1, '+']
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[2, 'x', *, 3, 'x', *, -, 1, +]
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>>> p = AbstractPolynom([1,[-2,-3]])
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>>> p.postfix_tokens
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[2, 'x', '*', '-', 3, 'x', '*', '-', 1, '+']
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[2, 'x', *, -, 3, 'x', *, -, 1, +]
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>>> from pymath.calculus.expression import Expression
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>>> from pymath.calculus.operator import op
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>>> e = Expression([2,3,op.add])
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>>> p = AbstractPolynom([1,e])
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>>> p.postfix_tokens
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[2, 3, '+', 'x', '*', 1, '+']
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[2, 3, +, 'x', *, 1, +]
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"""
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if self == 0:
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@ -312,7 +312,7 @@ class AbstractPolynom(Explicable):
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6 x^{ 2 } + ( 7 + 5 ) x + 3
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6 x^{ 2 } + 12 x + 3
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>>> Q.steps
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[< <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [[1, 2], [3, 4, 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]>]
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[< <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [[1, 2], [3, 4, 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]>]
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"""
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# TODO: It doesn't not compute quick enough |ven. févr. 27 18:04:01 CET
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@ -397,7 +397,7 @@ class AbstractPolynom(Explicable):
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3 x^{ 2 } + ( 2 + 5 ) x + 1 + 4
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3 x^{ 2 } + 7 x + 5
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>>> R.steps
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[< <class 'pymath.calculus.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 5, 'x', '*', 4, '+', '+'] >, < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [[1, 4], [2, 5], 3]>, < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [< <class 'pymath.calculus.expression.Expression'> [1, 4, '+'] >, < <class 'pymath.calculus.expression.Expression'> [2, 5, '+'] >, 3]>]
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[< <class 'pymath.calculus.expression.Expression'> [3, 'x', 2, ^, *, 2, 'x', *, +, 1, +, 5, 'x', *, 4, +, +] >, < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [[1, 4], [2, 5], 3]>, < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [< <class 'pymath.calculus.expression.Expression'> [1, 4, +] >, < <class 'pymath.calculus.expression.Expression'> [2, 5, +] >, 3]>]
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"""
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o_poly = self.conv2poly(other)
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@ -422,7 +422,7 @@ class AbstractPolynom(Explicable):
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>>> Q
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< <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [-1, -2, -3]>
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>>> Q.steps
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[< <class 'pymath.calculus.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', '-'] >]
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[< <class 'pymath.calculus.expression.Expression'> [3, 'x', 2, ^, *, 2, 'x', *, +, 1, +, -] >]
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"""
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ini_step = [Expression(self.postfix_tokens + [op.sub1])]
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ans = AbstractPolynom([-i for i in self._coef],
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@ -446,7 +446,7 @@ class AbstractPolynom(Explicable):
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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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>>> R.steps
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[< <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'> [[1, -4], [2, -5], [3, -6]]>, < <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, '+'] >]>]
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[< <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'> [[1, -4], [2, -5], [3, -6]]>, < <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, +] >]>]
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"""
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o_poly = self.conv2poly(other)
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ini_step = [Expression(self.postfix_tokens +
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@ -471,21 +471,21 @@ class AbstractPolynom(Explicable):
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>>> p*3
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< <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [3, 6]>
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>>> (p*3).steps
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[[< <class 'pymath.calculus.expression.Expression'> [2, 'x', '*', 1, '+', 3, '*'] >], < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [3, < <class 'pymath.calculus.expression.Expression'> [2, 3, '*'] >]>]
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[[< <class 'pymath.calculus.expression.Expression'> [2, 'x', *, 1, +, 3, *] >], < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [3, < <class 'pymath.calculus.expression.Expression'> [2, 3, *] >]>]
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>>> q = AbstractPolynom([0,0,4])
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>>> q*3
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< <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 0, 12]>
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>>> (q*3).steps
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[[< <class 'pymath.calculus.expression.Expression'> [4, 'x', 2, '^', '*', 3, '*'] >], < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 0, < <class 'pymath.calculus.expression.Expression'> [4, 3, '*'] >]>]
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[[< <class 'pymath.calculus.expression.Expression'> [4, 'x', 2, ^, *, 3, *] >], < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 0, < <class 'pymath.calculus.expression.Expression'> [4, 3, *] >]>]
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>>> r = AbstractPolynom([0,1])
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>>> r*3
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< <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 3]>
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>>> (r*3).steps
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[[< <class 'pymath.calculus.expression.Expression'> ['x', 3, '*'] >]]
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[[< <class 'pymath.calculus.expression.Expression'> ['x', 3, *] >]]
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>>> p*q
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< <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 0, 4, 8]>
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>>> (p*q).steps
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[[< <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, '*'] >]>]
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[[< <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, *] >]>]
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>>> p*r
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< <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 1, 2]>
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>>> P = AbstractPolynom([1,2,3])
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@ -536,12 +536,12 @@ class AbstractPolynom(Explicable):
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>>> p**2
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< <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 0, 0, 0, 9]>
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>>> (p**2).steps
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[< <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, '^'] >]>]
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[< <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, ^] >]>]
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>>> p = AbstractPolynom([1,2])
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>>> p**2
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< <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [1, 4, 4]>
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>>> (p**2).steps
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[< <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, [2, 2], < <class 'pymath.calculus.expression.Expression'> [2, 2, '*'] >]>, < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [1, < <class 'pymath.calculus.expression.Expression'> [2, 2, '+'] >, 4]>]
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[< <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, [2, 2], < <class 'pymath.calculus.expression.Expression'> [2, 2, *] >]>, < <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [1, < <class 'pymath.calculus.expression.Expression'> [2, 2, +] >, 4]>]
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>>> p = AbstractPolynom([0,0,1])
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>>> p**3
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< <class 'pymath.calculus.abstract_polynom.AbstractPolynom'> [0, 0, 0, 0, 0, 0, 1]>
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@ -23,7 +23,7 @@ def pstf_factory(pstf_tokens):
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>>> from .operator import op
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>>> pstf_t = [2, 3, op.add]
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>>> pstf_factory(pstf_t)
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< <class 'pymath.calculus.expression.Expression'> [2, 3, '+'] >
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< <class 'pymath.calculus.expression.Expression'> [2, 3, +] >
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>>> pstf_factory([2])
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2
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>>> type(pstf_factory([2]))
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@ -99,11 +99,11 @@ class Expression(Explicable):
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>>> with Expression.tmp_render():
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... for i in exp.simplify().explain():
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... i
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< <class 'pymath.calculus.expression.Expression'> [2, 3, 5, '/', '*'] >
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< <class 'pymath.calculus.expression.Expression'> [2, < Fraction 3 / 5>, '*'] >
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< <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 5>, 2, '*'] >
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< <class 'pymath.calculus.expression.Expression'> [3, 2, '*', 5, '/'] >
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< <class 'pymath.calculus.expression.Expression'> [6, 5, '/'] >
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< <class 'pymath.calculus.expression.Expression'> [2, 3, 5, /, *] >
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< <class 'pymath.calculus.expression.Expression'> [2, < Fraction 3 / 5>, *] >
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< <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 5>, 2, *] >
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< <class 'pymath.calculus.expression.Expression'> [3, 2, *, 5, /] >
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< <class 'pymath.calculus.expression.Expression'> [6, 5, /] >
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>>> from .render import txt
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>>> with Expression.tmp_render(txt):
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... for i in exp.simplify().explain():
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@ -330,13 +330,13 @@ class Expression(Explicable):
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>>> a = Expression("1+2")
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>>> print(a.postfix_tokens)
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[1, 2, '+']
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[1, 2, +]
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>>> b = Expression("3+4")
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>>> print(b.postfix_tokens)
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[3, 4, '+']
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[3, 4, +]
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>>> c = a + b
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>>> print(c.postfix_tokens)
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[1, 2, '+', 3, 4, '+', '+']
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[1, 2, +, 3, 4, +, +]
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"""
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return self.operate(other, op.add)
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@ -348,13 +348,13 @@ class Expression(Explicable):
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>>> a = Expression("1+2")
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>>> print(a.postfix_tokens)
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[1, 2, '+']
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[1, 2, +]
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>>> b = Expression("3+4")
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>>> print(b.postfix_tokens)
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[3, 4, '+']
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[3, 4, +]
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>>> c = a - b
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>>> print(c.postfix_tokens)
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[1, 2, '+', 3, 4, '+', '-']
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[1, 2, +, 3, 4, +, -]
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"""
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return self.operate(other, op.sub)
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@ -366,13 +366,13 @@ class Expression(Explicable):
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>>> a = Expression("1+2")
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>>> print(a.postfix_tokens)
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[1, 2, '+']
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[1, 2, +]
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>>> b = Expression("3+4")
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>>> print(b.postfix_tokens)
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[3, 4, '+']
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[3, 4, +]
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>>> c = a * b
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>>> print(c.postfix_tokens)
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[1, 2, '+', 3, 4, '+', '*']
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[1, 2, +, 3, 4, +, *]
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"""
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return self.operate(other, op.mul)
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@ -384,13 +384,13 @@ class Expression(Explicable):
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>>> a = Expression("1+2")
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>>> print(a.postfix_tokens)
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[1, 2, '+']
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[1, 2, +]
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>>> b = Expression("3+4")
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>>> print(b.postfix_tokens)
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[3, 4, '+']
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[3, 4, +]
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>>> c = a / b
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>>> print(c.postfix_tokens)
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[1, 2, '+', 3, 4, '+', '/']
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[1, 2, +, 3, 4, +, /]
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>>>
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"""
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return self.operate(other, op.div)
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@ -98,7 +98,7 @@ class Fraction(Explicable):
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>>> f = Fraction(3, 5)
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>>> f.postfix_tokens
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[3, 5, '/']
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[3, 5, /]
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"""
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if self._denom == 1:
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@ -134,29 +134,29 @@ class Fraction(Explicable):
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>>> f + g
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< Fraction 7 / 6>
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>>> print("\\n".join([repr(i) for i in (f+g).steps]))
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< <class 'pymath.calculus.expression.Expression'> [1, 2, '/', 2, 3, '/', '+'] >
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< <class 'pymath.calculus.expression.Expression'> [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '+'] >
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< <class 'pymath.calculus.expression.Expression'> [3, 6, '/', 4, 6, '/', '+'] >
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< <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 6>, < Fraction 4 / 6>, '+'] >
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< <class 'pymath.calculus.expression.Expression'> [3, 6, '/', 4, 6, '/', '+'] >
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< <class 'pymath.calculus.expression.Expression'> [3, 4, '+', 6, '/'] >
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< <class 'pymath.calculus.expression.Expression'> [1, 2, /, 2, 3, /, +] >
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< <class 'pymath.calculus.expression.Expression'> [1, 3, *, 2, 3, *, /, 2, 2, *, 3, 2, *, /, +] >
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< <class 'pymath.calculus.expression.Expression'> [3, 6, /, 4, 6, /, +] >
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< <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 6>, < Fraction 4 / 6>, +] >
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< <class 'pymath.calculus.expression.Expression'> [3, 6, /, 4, 6, /, +] >
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< <class 'pymath.calculus.expression.Expression'> [3, 4, +, 6, /] >
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>>> f + 2
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< Fraction 5 / 2>
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>>> print("\\n".join([repr(i) for i in (f+2).steps]))
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< <class 'pymath.calculus.expression.Expression'> [1, 2, '/', 2, '+'] >
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< <class 'pymath.calculus.expression.Expression'> [1, 1, '*', 2, 1, '*', '/', 2, 2, '*', 1, 2, '*', '/', '+'] >
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< <class 'pymath.calculus.expression.Expression'> [1, 2, '/', 4, 2, '/', '+'] >
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< <class 'pymath.calculus.expression.Expression'> [< Fraction 1 / 2>, < Fraction 4 / 2>, '+'] >
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< <class 'pymath.calculus.expression.Expression'> [1, 2, '/', 4, 2, '/', '+'] >
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< <class 'pymath.calculus.expression.Expression'> [1, 4, '+', 2, '/'] >
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< <class 'pymath.calculus.expression.Expression'> [1, 2, /, 2, +] >
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< <class 'pymath.calculus.expression.Expression'> [1, 1, *, 2, 1, *, /, 2, 2, *, 1, 2, *, /, +] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 2, /, 4, 2, /, +] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [< Fraction 1 / 2>, < Fraction 4 / 2>, +] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 2, /, 4, 2, /, +] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 4, +, 2, /] >
|
||||
>>> f = Fraction(3, 4)
|
||||
>>> g = Fraction(5, 4)
|
||||
>>> f + g
|
||||
2
|
||||
>>> print("\\n".join([repr(i) for i in (f+g).steps]))
|
||||
< <class 'pymath.calculus.expression.Expression'> [3, 4, '/', 5, 4, '/', '+'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [3, 5, '+', 4, '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [8, 4, '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [3, 4, /, 5, 4, /, +] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [3, 5, +, 4, /] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [8, 4, /] >
|
||||
>>> f+0
|
||||
< Fraction 3 / 4>
|
||||
>>> (f+0).steps
|
||||
@ -219,12 +219,12 @@ class Fraction(Explicable):
|
||||
>>> f - g
|
||||
< Fraction -1 / 6>
|
||||
>>> print("\\n".join([repr(i) for i in (f-g).steps]))
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 2, '/', 2, 3, '/', '-'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '-'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [3, 6, '/', 4, 6, '/', '-'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 6>, < Fraction 4 / 6>, '-'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [3, 6, '/', 4, 6, '/', '-'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [3, 4, '-', 6, '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 2, /, 2, 3, /, -] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 3, *, 2, 3, *, /, 2, 2, *, 3, 2, *, /, -] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [3, 6, /, 4, 6, /, -] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 6>, < Fraction 4 / 6>, -] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [3, 6, /, 4, 6, /, -] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [3, 4, -, 6, /] >
|
||||
>>> f - 0
|
||||
< Fraction 1 / 2>
|
||||
>>> (f-0).steps
|
||||
@ -292,7 +292,7 @@ class Fraction(Explicable):
|
||||
>>> -f
|
||||
< Fraction 1 / 2>
|
||||
>>> (-f).steps
|
||||
[< <class 'pymath.calculus.expression.Expression'> [-1, -2, '/'] >]
|
||||
[< <class 'pymath.calculus.expression.Expression'> [-1, -2, /] >]
|
||||
|
||||
"""
|
||||
f = Fraction(-self._num, self._denom)
|
||||
@ -308,24 +308,24 @@ class Fraction(Explicable):
|
||||
>>> f*g
|
||||
< Fraction 1 / 3>
|
||||
>>> print("\\n".join([repr(i) for i in (f*g).steps]))
|
||||
< <class 'pymath.calculus.expression.Expression'> [< Fraction 1 / 2>, < Fraction 2 / 3>, '*'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 2, '*', 2, 3, '*', '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 3, '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [< Fraction 1 / 2>, < Fraction 2 / 3>, *] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 2, *, 2, 3, *, /] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 3, /] >
|
||||
>>> f * 0
|
||||
0
|
||||
>>> (f*0).steps
|
||||
[< <class 'pymath.calculus.expression.Expression'> [< Fraction 1 / 2>, 0, '*'] >]
|
||||
[< <class 'pymath.calculus.expression.Expression'> [< Fraction 1 / 2>, 0, *] >]
|
||||
>>> f*1
|
||||
< Fraction 1 / 2>
|
||||
>>> (f*1).steps
|
||||
[< <class 'pymath.calculus.expression.Expression'> [< Fraction 1 / 2>, 1, '*'] >]
|
||||
[< <class 'pymath.calculus.expression.Expression'> [< Fraction 1 / 2>, 1, *] >]
|
||||
>>> f*4
|
||||
2
|
||||
>>> print("\\n".join([repr(i) for i in (f*4).steps]))
|
||||
< <class 'pymath.calculus.expression.Expression'> [< Fraction 1 / 2>, 4, '*'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 2, '*', 2, '*', 1, 2, '*', '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 2, '*', 1, '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [2, 1, '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [< Fraction 1 / 2>, 4, *] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 2, *, 2, *, 1, 2, *, /] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [1, 2, *, 1, /] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [2, 1, /] >
|
||||
|
||||
"""
|
||||
steps = [Expression([self, other, op.mul])]
|
||||
@ -442,26 +442,26 @@ class Fraction(Explicable):
|
||||
>>> f**0
|
||||
1
|
||||
>>> (f**0).steps
|
||||
[< <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 4>, 0, '^'] >]
|
||||
[< <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 4>, 0, ^] >]
|
||||
>>> f**1
|
||||
< Fraction 3 / 4>
|
||||
>>> (f**1).steps
|
||||
[< <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 4>, 1, '^'] >]
|
||||
[< <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 4>, 1, ^] >]
|
||||
>>> f**3
|
||||
< Fraction 27 / 64>
|
||||
>>> print("\\n".join([repr(i) for i in (f**3).steps]))
|
||||
< <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 4>, 3, '^'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [3, 3, '^', 4, 3, '^', '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [27, 64, '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [< Fraction 3 / 4>, 3, ^] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [3, 3, ^, 4, 3, ^, /] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [27, 64, /] >
|
||||
>>> f = Fraction(6, 4)
|
||||
>>> f**3
|
||||
< Fraction 27 / 8>
|
||||
>>> print("\\n".join([repr(i) for i in (f**3).steps]))
|
||||
< <class 'pymath.calculus.expression.Expression'> [< Fraction 6 / 4>, 3, '^'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [6, 3, '^', 4, 3, '^', '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [216, 64, '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [216, 64, '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [27, 8, '*', 8, 8, '*', '/'] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [< Fraction 6 / 4>, 3, ^] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [6, 3, ^, 4, 3, ^, /] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [216, 64, /] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [216, 64, /] >
|
||||
< <class 'pymath.calculus.expression.Expression'> [27, 8, *, 8, 8, *, /] >
|
||||
|
||||
"""
|
||||
if not isinstance(power, int):
|
||||
|
||||
@ -299,11 +299,11 @@ def postfix_op(numbers, operator, neutral = 0):
|
||||
>>> postfix_op([1], op.add)
|
||||
[1]
|
||||
>>> postfix_op([1, 2], op.add)
|
||||
[1, 2, '+']
|
||||
[1, 2, +]
|
||||
>>> postfix_op([1, 2, 3], op.add)
|
||||
[1, 2, '+', 3, '+']
|
||||
[1, 2, +, 3, +]
|
||||
>>> postfix_op([1, 2, 3], op.mul)
|
||||
[1, 2, '*', 3, '*']
|
||||
[1, 2, *, 3, *]
|
||||
>>> postfix_op(1, op.add)
|
||||
[1]
|
||||
>>> postfix_op([], op.add)
|
||||
|
||||
@ -103,15 +103,15 @@ class Polynom(AbstractPolynom):
|
||||
|
||||
>>> P = Polynom([1, 2, 3])
|
||||
>>> P.mainOp
|
||||
'+'
|
||||
+
|
||||
>>> P.name
|
||||
'P'
|
||||
>>> P._letter
|
||||
'x'
|
||||
>>> Polynom([1]).mainOp
|
||||
'*'
|
||||
*
|
||||
>>> Polynom([0, 0, 3]).mainOp
|
||||
'*'
|
||||
*
|
||||
>>> Polynom([1, 2, 3])._letter
|
||||
'x'
|
||||
>>> Polynom([1, 2, 3], "y")._letter
|
||||
@ -182,67 +182,6 @@ for name, func in inspect.getmembers(Polynom):
|
||||
setattr(Polynom, name, polynom_factory(func))
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
#from .fraction import Fraction
|
||||
# with Expression.tmp_render(txt):
|
||||
# p = Polynom([1, 2, 3])
|
||||
# q = Polynom([4, 5, 6])
|
||||
# for i in (p*q).explain():
|
||||
# print(i)
|
||||
# r = Polynom([0,1])
|
||||
# for i in (r*3).explain():
|
||||
# print(i)
|
||||
# print("q = ", q)
|
||||
# r = q.reduce()
|
||||
# print("r = ", r)
|
||||
# for i in r.explain():
|
||||
# print("q = ", i)
|
||||
# print(p-q)
|
||||
# for i in p-q:
|
||||
# print(i)
|
||||
# Polynom.random(degree = 2, conditions=["{b**2-4*a*c}>0"]) # Polynom deg
|
||||
# 2 with positive Delta (ax^2 + bx + c)
|
||||
|
||||
#import doctest
|
||||
# doctest.testmod(optionflags=doctest.ELLIPSIS)
|
||||
|
||||
# while True:
|
||||
# P = Polynom.random(degree = 2)
|
||||
# e = Expression.random("{a}/{b}")
|
||||
# try:
|
||||
# P(e)
|
||||
# except RuntimeError:
|
||||
# print(" P -> " + str(P))
|
||||
# print(" e -> " + str(e))
|
||||
#
|
||||
# import sys
|
||||
# sys.setrecursionlimit(100)
|
||||
|
||||
from .fraction import Fraction
|
||||
from itertools import permutations
|
||||
P = Polynom([-5, 6, -4])
|
||||
f = Fraction(2, 5)
|
||||
P(f)
|
||||
try:
|
||||
P(f)
|
||||
except Exception as e:
|
||||
print(e)
|
||||
|
||||
print("-----------------\n")
|
||||
f = Fraction(2, 15)
|
||||
print(str(P).replace('x', '(' + str(f) + ')'), "= ", P(f))
|
||||
|
||||
print("-----------------\n")
|
||||
f = Fraction(2, 3)
|
||||
print(P(f))
|
||||
#coefs_p = [[(i-2),(j-2)] for i,j in permutations(range(20),2)]
|
||||
#fractions = [Fraction(i,j) for i,j in coefs_p if j!=0]
|
||||
# for f in fractions:
|
||||
# try:
|
||||
# P(f)
|
||||
# #print("ok f -> " + str(f))
|
||||
# except RuntimeError:
|
||||
# print(" f -> " + str(f))
|
||||
|
||||
|
||||
# -----------------------------
|
||||
|
||||
Loading…
Reference in New Issue
Block a user