Adapt Fraction with Expression.tmp_render
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Lafrite
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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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