Adapt Fraction to steps
This commit is contained in:
Benjamin Bertrand
parent
c314b55376
commit
fba7f16762
@ -6,6 +6,7 @@ from .generic import isNumber, postfix_op
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from .operator import op
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from .expression import Expression
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from .explicable import Explicable
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from .step import Step
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from copy import copy
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@ -47,6 +48,8 @@ class Fraction(Explicable):
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>>> f = Fraction(6,9)
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>>> f.simplify()
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< Fraction 2 / 3>
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>>> f.simplify().steps
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[< Step [6, 9, /]>, < Step [2, 3, *, 3, 3, *, /]>]
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>>> for i in f.simplify().explain():
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... print(i)
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\\frac{ 6 }{ 9 }
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@ -57,7 +60,7 @@ class Fraction(Explicable):
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0
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"""
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ini_step = [Expression(self.postfix_tokens)]
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ini_step = [Step(self.postfix_tokens)]
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if self._num == 0:
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return Expression([0]).simplify()
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@ -78,9 +81,11 @@ class Fraction(Explicable):
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elif gcd_ != 1:
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n_frac = Fraction(self._num // gcd_, self._denom // gcd_)
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ini_step += [Expression([n_frac._num, gcd_, op.mul,
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ini_step += [Step([
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n_frac._num, gcd_, op.mul,
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n_frac._denom, gcd_, op.mul,
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op.div])]
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op.div
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])]
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n_frac.this_append_before(ini_step)
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return n_frac
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@ -129,29 +134,37 @@ 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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< Expression [1, 2, /, 2, 3, /, +]>
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< Expression [1, 3, *, 2, 3, *, /, 2, 2, *, 3, 2, *, /, +]>
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< Expression [3, 6, /, 4, 6, /, +]>
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< Expression [< Fraction 3 / 6>, < Fraction 4 / 6>, +]>
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< Expression [3, 6, /, 4, 6, /, +]>
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< Expression [3, 4, +, 6, /]>
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< Step [1, 2, /, 2, 3, /, +]>
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< Step [1, 3, *, 2, 3, *, /, 2, 2, *, 3, 2, *, /, +]>
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< Step [3, 6, /, 4, 6, /, +]>
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< Step [3, 6, /, 4, 6, /, +]>
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< Step [3, 6, /, 4, 6, /, +]>
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< Step [3, 6, /, 4, 6, /, +]>
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< Step [3, 6, /, 4, 6, /, +]>
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< Step [3, 4, +, 6, /]>
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< Step [7, 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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< Expression [1, 2, /, 2, +]>
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< Expression [1, 1, *, 2, 1, *, /, 2, 2, *, 1, 2, *, /, +]>
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< Expression [1, 2, /, 4, 2, /, +]>
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< Expression [< Fraction 1 / 2>, < Fraction 4 / 2>, +]>
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< Expression [1, 2, /, 4, 2, /, +]>
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< Expression [1, 4, +, 2, /]>
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< Step [1, 2, /, 2, +]>
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< Step [1, 1, *, 2, 1, *, /, 2, 2, *, 1, 2, *, /, +]>
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< Step [1, 2, /, 4, 2, /, +]>
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< Step [1, 2, /, 4, 2, /, +]>
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< Step [1, 2, /, 4, 2, /, +]>
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< Step [1, 2, /, 4, 2, /, +]>
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< Step [1, 2, /, 4, 2, /, +]>
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< Step [1, 4, +, 2, /]>
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< Step [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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2
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>>> print("\\n".join([repr(i) for i in (f+g).steps]))
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< Expression [3, 4, /, 5, 4, /, +]>
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< Expression [3, 5, +, 4, /]>
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< Expression [8, 4, /]>
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< Step [3, 4, /, 5, 4, /, +]>
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< Step [3, 5, +, 4, /]>
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< Step [8, 4, /]>
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< Step [8, 4, /]>
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< Step [8, 4, /]>
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>>> f+0
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< Fraction 3 / 4>
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>>> (f+0).steps
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@ -193,7 +206,7 @@ class Fraction(Explicable):
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op.add])
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ans = exp.simplify()
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ini_step = Expression(self.postfix_tokens +
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ini_step = Step(self.postfix_tokens +
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number.postfix_tokens + [op.add])
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ans.this_append_before([ini_step])
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return ans
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@ -214,12 +227,15 @@ class Fraction(Explicable):
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>>> f - g
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< Fraction -1 / 6>
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>>> print("\\n".join([repr(i) for i in (f-g).steps]))
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< Expression [1, 2, /, 2, 3, /, -]>
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< Expression [1, 3, *, 2, 3, *, /, 2, 2, *, 3, 2, *, /, -]>
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< Expression [3, 6, /, 4, 6, /, -]>
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< Expression [< Fraction 3 / 6>, < Fraction 4 / 6>, -]>
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< Expression [3, 6, /, 4, 6, /, -]>
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< Expression [3, 4, -, 6, /]>
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< Step [1, 2, /, 2, 3, /, -]>
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< Step [1, 3, *, 2, 3, *, /, 2, 2, *, 3, 2, *, /, -]>
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< Step [3, 6, /, 4, 6, /, -]>
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< Step [3, 6, /, 4, 6, /, -]>
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< Step [3, 6, /, 4, 6, /, -]>
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< Step [3, 6, /, 4, 6, /, -]>
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< Step [3, 6, /, 4, 6, /, -]>
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< Step [3, 4, -, 6, /]>
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< Step [-1, 6, /]>
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>>> f - 0
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< Fraction 1 / 2>
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>>> (f-0).steps
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@ -259,7 +275,7 @@ class Fraction(Explicable):
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op.div,
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op.sub])
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ini_step = Expression(self.postfix_tokens +
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ini_step = Step(self.postfix_tokens +
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number.postfix_tokens + [op.sub])
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ans = exp.simplify()
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ans.this_append_before([ini_step])
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@ -287,7 +303,7 @@ class Fraction(Explicable):
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>>> -f
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< Fraction 1 / 2>
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>>> (-f).steps
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[< Expression [-1, -2, /]>]
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[< Step [-1, -2, /]>]
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"""
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f = Fraction(-self._num, self._denom)
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@ -303,27 +319,30 @@ class Fraction(Explicable):
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>>> f*g
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< Fraction 1 / 3>
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>>> print("\\n".join([repr(i) for i in (f*g).steps]))
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< Expression [< Fraction 1 / 2>, < Fraction 2 / 3>, *]>
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< Expression [1, 2, *, 2, 3, *, /]>
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< Expression [1, 3, /]>
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< Step [1, 2, /, 2, 3, /, *]>
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< Step [1, 2, *, 2, 3, *, /]>
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< Step [1, 3, /]>
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< Step [1, 3, /]>
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>>> f * 0
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0
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>>> (f*0).steps
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[< Expression [< Fraction 1 / 2>, 0, *]>]
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[< Step [1, 2, /, 0, *]>]
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>>> f*1
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< Fraction 1 / 2>
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>>> (f*1).steps
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[< Expression [< Fraction 1 / 2>, 1, *]>]
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[< Step [1, 2, /, 1, *]>]
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>>> f*4
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2
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>>> print("\\n".join([repr(i) for i in (f*4).steps]))
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< Expression [< Fraction 1 / 2>, 4, *]>
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< Expression [1, 2, *, 2, *, 1, 2, *, /]>
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< Expression [1, 2, *, 1, /]>
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< Expression [2, 1, /]>
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< Step [1, 2, /, 4, *]>
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< Step [1, 2, *, 2, *, 1, 2, *, /]>
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< Step [1, 2, *, 1, /]>
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< Step [2, 1, /]>
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< Step [2, 1, /]>
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< Step [2]>
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"""
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steps = [Expression([self, other, op.mul])]
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steps = [Step([self, other, op.mul])]
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if other == 0:
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exp = Expression([0])
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@ -337,7 +356,7 @@ class Fraction(Explicable):
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[int(other / gcd1), op.mul] * (int(other / gcd1) != 1) + \
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[gcd1, op.mul]
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denom_s = [int(self._denom / gcd1), gcd1, op.mul]
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steps.append(Expression(num_s + denom_s + [op.div]))
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steps.append(Step(num_s + denom_s + [op.div]))
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num = [self._num] + [int(other / gcd1), op.mul] * (int(other / gcd1) != 1)
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denom = [int(self._denom / gcd1)]
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@ -378,7 +397,7 @@ class Fraction(Explicable):
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num2 = [number._num]
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denom1 = [self._denom]
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steps.append(Expression(num1_s + num2_s + [op.mul] +
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steps.append(Step(num1_s + num2_s + [op.mul] +
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denom1_s + denom2_s + [op.mul, op.div]))
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exp = Expression(postfix_op(num1 + num2, op.mul, 1) +
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@ -416,7 +435,7 @@ class Fraction(Explicable):
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number = self.convert2fraction(other)
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ini_step = Expression(self.postfix_tokens +
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ini_step = Step(self.postfix_tokens +
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number.postfix_tokens + [op.div])
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number = Fraction(number._denom, number._num)
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@ -437,26 +456,30 @@ class Fraction(Explicable):
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>>> f**0
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1
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>>> (f**0).steps
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[< Expression [< Fraction 3 / 4>, 0, ^]>]
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[< Step [3, 4, /, 0, ^]>]
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>>> f**1
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< Fraction 3 / 4>
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>>> (f**1).steps
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[< Expression [< Fraction 3 / 4>, 1, ^]>]
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[< Step [3, 4, /, 1, ^]>]
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>>> f**3
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< Fraction 27 / 64>
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>>> print("\\n".join([repr(i) for i in (f**3).steps]))
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< Expression [< Fraction 3 / 4>, 3, ^]>
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< Expression [3, 3, ^, 4, 3, ^, /]>
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< Expression [27, 64, /]>
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< Step [3, 4, /, 3, ^]>
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< Step [3, 3, ^, 4, 3, ^, /]>
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< Step [27, 64, /]>
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< Step [27, 64, /]>
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< Step [27, 64, /]>
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>>> f = Fraction(6, 4)
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>>> f**3
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< Fraction 27 / 8>
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>>> print("\\n".join([repr(i) for i in (f**3).steps]))
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< Expression [< Fraction 6 / 4>, 3, ^]>
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< Expression [6, 3, ^, 4, 3, ^, /]>
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< Expression [216, 64, /]>
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< Expression [216, 64, /]>
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< Expression [27, 8, *, 8, 8, *, /]>
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< Step [6, 4, /, 3, ^]>
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< Step [6, 3, ^, 4, 3, ^, /]>
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< Step [216, 64, /]>
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< Step [216, 64, /]>
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< Step [216, 64, /]>
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< Step [216, 64, /]>
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< Step [27, 8, *, 8, 8, *, /]>
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"""
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if not isinstance(power, int):
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@ -464,14 +487,17 @@ class Fraction(Explicable):
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"Can't raise fraction to power {}".format(
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str(power)))
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ini_step = Expression([self, power, op.pw])
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ini_step = Step([self, power, op.pw])
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if power == 0:
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exp = Expression([1])
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elif power == 1:
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exp = copy(self)
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else:
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exp = Expression(
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[self._num, power, op.pw, self._denom, power, op.pw, op.div])
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exp = Expression([
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self._num, power, op.pw,
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self._denom, power, op.pw,
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op.div
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])
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ans = exp.simplify()
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ans.this_append_before([ini_step])
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