Merge branch 'fraction' into dev
This commit is contained in:
Lafrite
commit
61bc284805
@ -28,6 +28,46 @@ class Expression(object):
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def set_default_render(cls):
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cls.set_render(cls.DEFAULT_RENDER)
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@classmethod
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def tmp_render(cls, render = lambda _,x:Expression(x)):
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""" Create a container in which Expression render is temporary modify
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The default temporary render is Expression in order to perform calculus inside numbers
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>>> exp = Expression("2*3/5")
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>>> print(exp)
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\\frac{ 2 \\times 3 }{ 5 }
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>>> for i in exp.simplify():
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... print(i)
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\\frac{ 2 \\times 3 }{ 5 }
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\\frac{ 6 }{ 5 }
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>>> with Expression.tmp_render():
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... for i in exp.simplify():
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... i
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< Expression [2, 3, '*', 5, '/']>
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< Expression [6, 5, '/']>
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< Fraction 6 / 5>
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>>> with Expression.tmp_render(txt):
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... for i in exp.simplify():
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... print(i)
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2 * 3 / 5
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6 / 5
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>>> for i in exp.simplify():
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... print(i)
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\\frac{ 2 \\times 3 }{ 5 }
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\\frac{ 6 }{ 5 }
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"""
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class TmpRenderEnv(object):
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def __enter__(self):
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self.old_render = Expression.get_render()
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Expression.set_render(render)
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def __exit__(self, type, value, traceback):
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Expression.set_render(self.old_render)
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return TmpRenderEnv()
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@classmethod
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def random(self, form="", conditions=[], val_min = -10, val_max=10):
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"""Create a random expression from form and with conditions
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@ -299,10 +339,10 @@ def test(exp):
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print("\n")
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if __name__ == '__main__':
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render = lambda _,x : str(x)
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Expression.set_render(render)
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exp = Expression("1/2 - 4")
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print(list(exp.simplify()))
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#render = lambda _,x : str(x)
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#Expression.set_render(render)
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#exp = Expression("1/2 - 4")
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#print(list(exp.simplify()))
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#Expression.set_render(txt)
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#exp = "2 ^ 3 * 5"
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@ -386,8 +426,8 @@ if __name__ == '__main__':
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#for i in exp.simplify():
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# print(i)
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#import doctest
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#doctest.testmod()
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import doctest
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doctest.testmod()
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# -----------------------------
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# Reglages pour 'vim'
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@ -119,13 +119,13 @@ class Fraction(object):
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>>> f = Fraction(1, 2)
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>>> g = Fraction(2, 3)
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>>> f + g
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[< Expression [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '+']>, < Expression [3, 4, '+', 6, '/']>, < Fraction 7 / 6>]
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[< Expression [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '+']>, < Expression [3, 6, '/', 4, 6, '/', '+']>, < Expression [< Fraction 3 / 6>, < Fraction 4 / 6>, '+']>, < Expression [3, 4, '+', 6, '/']>, < Expression [7, 6, '/']>, < Fraction 7 / 6>]
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>>> f + 2
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[< Expression [1, 1, '*', 2, 1, '*', '/', 2, 2, '*', 1, 2, '*', '/', '+']>, < Expression [1, 4, '+', 2, '/']>, < Fraction 5 / 2>]
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[< Expression [1, 1, '*', 2, 1, '*', '/', 2, 2, '*', 1, 2, '*', '/', '+']>, < Expression [1, 2, '/', 4, 2, '/', '+']>, < Expression [< Fraction 1 / 2>, < Fraction 4 / 2>, '+']>, < Expression [1, 4, '+', 2, '/']>, < Expression [5, 2, '/']>, < Fraction 5 / 2>]
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>>> f = Fraction(3, 4)
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>>> g = Fraction(5, 4)
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>>> f + g
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[< Expression [3, 5, '+', 4, '/']>, < Fraction 8 / 4>, 2]
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[< Expression [3, 5, '+', 4, '/']>, < Expression [8, 4, '/']>, 2]
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"""
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@ -134,31 +134,22 @@ class Fraction(object):
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number = self.convert2fraction(other)
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steps = []
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if self._denom == number._denom:
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com_denom = self._denom
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num1 = self._num
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num2 = number._num
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exp = Expression([num1, num2, op.add, com_denom, op.div])
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else:
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gcd_denom = gcd(self._denom, number._denom)
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coef1 = number._denom // gcd_denom
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coef2 = self._denom // gcd_denom
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steps.append(Expression([self._num, coef1, op.mul, self._denom, coef1, op.mul, op.div, number._num, coef2, op.mul, number._denom, coef2, op.mul, op.div,op.add]) )
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exp = Expression([self._num, coef1, op.mul, self._denom, coef1, op.mul, op.div, number._num, coef2, op.mul, number._denom, coef2, op.mul, op.div,op.add])
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com_denom = self._denom * coef1
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num1 = self._num * coef1
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num2 = number._num * coef2
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steps.append(Expression([num1, num2, op.add, com_denom, op.div]))
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num = num1 + num2
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ans_frac = Fraction(num, com_denom)
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steps.append(ans_frac)
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steps += ans_frac.simplify()
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with Expression.tmp_render():
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steps = list(exp.simplify())
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return steps
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@ -176,7 +167,7 @@ class Fraction(object):
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>>> f = Fraction(1, 2)
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>>> g = Fraction(2, 3)
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>>> f - g
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[< Expression [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '-']>, < Expression [3, 4, '-', 6, '/']>, < Fraction -1 / 6>]
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[< Expression [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '-']>, < Expression [3, 6, '/', 4, 6, '/', '-']>, < Expression [< Fraction 3 / 6>, < Fraction 4 / 6>, '-']>, < Expression [3, 4, '-', 6, '/']>, < Expression [-1, 6, '/']>, < Fraction -1 / 6>]
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"""
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if other == 0:
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@ -184,31 +175,22 @@ class Fraction(object):
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number = self.convert2fraction(other)
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steps = []
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if self._denom == number._denom:
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com_denom = self._denom
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num1 = self._num
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num2 = number._num
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exp = Expression([num1, num2, op.sub, com_denom, op.div])
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else:
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gcd_denom = gcd(self._denom, number._denom)
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coef1 = number._denom // gcd_denom
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coef2 = self._denom // gcd_denom
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steps.append(Expression([self._num, coef1, op.mul, self._denom, coef1, op.mul, op.div, number._num, coef2, op.mul, number._denom, coef2, op.mul, op.div,op.sub]))
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exp = Expression([self._num, coef1, op.mul, self._denom, coef1, op.mul, op.div, number._num, coef2, op.mul, number._denom, coef2, op.mul, op.div,op.sub])
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com_denom = self._denom * coef1
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num1 = self._num * coef1
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num2 = number._num * coef2
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steps.append(Expression([num1, num2, op.sub, com_denom, op.div]))
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num = num1 - num2
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ans_frac = Fraction(num, com_denom)
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steps.append(ans_frac)
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steps += ans_frac.simplify()
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with Expression.tmp_render():
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steps = list(exp.simplify())
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return steps
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@ -234,7 +216,11 @@ class Fraction(object):
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"""
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f = Fraction(-self._num, self._denom)
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return [f] + f.simplify()
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with Expression.tmp_render():
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steps = [f] + f.simplify()
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return steps
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def __mul__(self, other):
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""" overload *
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@ -242,13 +228,13 @@ class Fraction(object):
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>>> f = Fraction(1, 2)
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>>> g = Fraction(2, 3)
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>>> f*g
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[< Expression [1, 1, 2, '*', '*', 1, 2, '*', 3, '*', '/']>, < Fraction 1 / 3>]
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[< Expression [1, 1, 2, '*', '*', 1, 2, '*', 3, '*', '/']>, < Expression [1, 2, '*', 2, 3, '*', '/']>, < Expression [2, 6, '/']>, < Expression [1, 2, '*', 3, 2, '*', '/']>, < Fraction 1 / 3>]
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>>> f * 0
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[0]
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>>> f*1
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[< Fraction 1 / 2>]
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>>> f*4
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[< Expression [1, 2, '*', 2, '*', 1, 2, '*', '/']>, < Fraction 2 / 1>, 2]
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[< Expression [1, 2, '*', 2, '*', 1, 2, '*', '/']>, < Expression [2, 2, '*', 2, '/']>, < Expression [4, 2, '/']>, 2]
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"""
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steps = []
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@ -258,6 +244,8 @@ class Fraction(object):
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elif other == 1:
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return [self]
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# TODO: Changer dans le cas où il y a trop de 1 |dim. déc. 28 10:44:10 CET 2014
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elif type(other) == int:
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gcd1 = gcd(other, self._denom)
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if gcd1 != 1:
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@ -266,10 +254,8 @@ class Fraction(object):
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else:
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num = [self._num, other, op.mul]
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denom = [self._denom]
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steps.append(Expression(num + denom + [op.div]))
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num = int(self._num * other / gcd1)
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denom = int(self._denom / gcd1)
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exp = Expression(num + denom + [op.div])
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else:
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number = self.convert2fraction(other)
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@ -291,14 +277,10 @@ class Fraction(object):
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denom1 = [self._denom]
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steps.append(Expression(num1 + num2 + [ op.mul] + denom1 + denom2 + [op.mul, op.div]))
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exp = Expression(num1 + num2 + [ op.mul] + denom1 + denom2 + [op.mul, op.div])
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num = int(self._num * number._num / (gcd1 * gcd2))
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denom = int(self._denom * number._denom / (gcd1 * gcd2))
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ans_frac = Fraction(num, denom)
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steps.append(ans_frac)
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steps += ans_frac.simplify()
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with Expression.tmp_render():
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steps = list(exp.simplify())
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return steps
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@ -334,10 +316,10 @@ class Fraction(object):
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>>> f**1
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[< Fraction 3 / 4>]
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>>> f**3
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[< Expression [3, 3, '^', 4, 3, '^', '/']>, < Fraction 27 / 64>]
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[< Expression [3, 3, '^', 4, 3, '^', '/']>, < Expression [27, 64, '/']>, < Fraction 27 / 64>]
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>>> f = Fraction(6, 4)
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>>> f**3
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[< Expression [6, 3, '^', 4, 3, '^', '/']>, < Fraction 216 / 64>, < Expression [27, 8, '*', 8, 8, '*', '/']>, < Fraction 27 / 8>]
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[< Expression [6, 3, '^', 4, 3, '^', '/']>, < Expression [216, 64, '/']>, < Expression [27, 8, '*', 8, 8, '*', '/']>, < Fraction 27 / 8>]
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"""
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if not type(power) == int:
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@ -348,10 +330,9 @@ class Fraction(object):
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elif power == 1:
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return [self]
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else:
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steps = [Expression([self._num, power, op.pw, self._denom, power, op.pw, op.div])]
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ans_frac = Fraction(self._num ** power, self._denom ** power)
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steps.append(ans_frac)
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steps += ans_frac.simplify()
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exp = Expression([self._num, power, op.pw, self._denom, power, op.pw, op.div])
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with Expression.tmp_render():
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steps = list(exp.simplify())
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return steps
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def __xor__(self, power):
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@ -364,10 +345,10 @@ class Fraction(object):
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>>> f^1
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[< Fraction 3 / 4>]
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>>> f^3
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[< Expression [3, 3, '^', 4, 3, '^', '/']>, < Fraction 27 / 64>]
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[< Expression [3, 3, '^', 4, 3, '^', '/']>, < Expression [27, 64, '/']>, < Fraction 27 / 64>]
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>>> f = Fraction(6, 4)
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>>> f^3
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[< Expression [6, 3, '^', 4, 3, '^', '/']>, < Fraction 216 / 64>, < Expression [27, 8, '*', 8, 8, '*', '/']>, < Fraction 27 / 8>]
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[< Expression [6, 3, '^', 4, 3, '^', '/']>, < Expression [216, 64, '/']>, < Expression [27, 8, '*', 8, 8, '*', '/']>, < Fraction 27 / 8>]
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"""
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@ -291,19 +291,15 @@ class Polynom(object):
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# On converti en Expression
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coef_exp = Expression(postfix_add)
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old_render = Expression.get_render()
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Expression.set_render(lambda _,x:Expression(x))
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with Expression.tmp_render():
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coef_steps = list(coef_exp.simplify())
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Expression.set_render(old_render)
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#print('\t 1.coef_steps -> ', coef_steps)
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elif type(coef) == Expression:
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old_render = Expression.get_render()
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Expression.set_render(lambda _,x:Expression(x))
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with Expression.tmp_render():
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coef_steps = list(coef.simplify())
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Expression.set_render(old_render)
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#print('\t 2.coef_steps -> ', coef_steps)
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@ -524,7 +520,7 @@ def test(p,q):
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if __name__ == '__main__':
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#from .fraction import Fraction
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Expression.set_render(txt)
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with Expression.tmp_render(txt):
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p = Polynom([10, -5])
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q = Polynom([3, -9])
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print(p-q)
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