2018-03-11 15:34:41 +00:00
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#! /usr/bin/env python
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# -*- coding: utf-8 -*-
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# vim:fenc=utf-8
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#
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# Copyright © 2017 lafrite <lafrite@Poivre>
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#
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# Distributed under terms of the MIT license.
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"""
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Adding MO
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"""
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from ..tree import Tree
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from ..operator import OPERATORS
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from ..MO.mo import MO, MOnumber, MOstr
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from ..MO.fraction import MOFraction
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from .exceptions import AddError
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2018-03-12 04:34:26 +00:00
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from .arithmetic import lcm
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2018-03-11 15:34:41 +00:00
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def add(left, right):
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""" Perform the addition of left and right
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:param left: left MO
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:param right: right MO
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:returns: Tree or MO
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>>> a = MOnumber(4)
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>>> b = MOnumber(6)
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>>> add(a, b)
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<MOnumber 10>
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>>> b = MOnumber(0)
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>>> add(a, b)
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<MOnumber 4>
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"""
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if left.value == 0:
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return right
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elif right.value == 0:
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return left
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return ADDFUNCTIONS[(type(left), type(right))](left, right)
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def monumber_monumber(left, right):
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""" Adding 2 monumbers
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:param left: left MOnumber
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:param right: right MOnumber
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:returns: MONumber
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>>> a = MOnumber(4)
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>>> b = MOnumber(6)
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>>> monumber_monumber(a, b)
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<MOnumber 10>
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"""
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return MO.factory(left.value + right.value)
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def monumber_mofraction(left, right):
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""" Adding a monumber and a mofraction
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:param left: a monumber
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:param right: a mofraction
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:returns: Tree with the number converted into a mofraction
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>>> a = MOnumber(4)
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>>> b = MOFraction(6, 5)
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>>> print(monumber_mofraction(a, b))
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+
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> /
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| > 4
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| > 1
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> /
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| > 6
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| > 5
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"""
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if not isinstance(left, MOnumber) or not isinstance(right, MOFraction):
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raise AddError(f"Wrong type for left (got {left.__class__.__name__}) \
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or right (got {right.__class__.__name__})")
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left_fraction = MOFraction(left, MOnumber(1))
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return Tree("+", left_fraction, right)
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def mofraction_monumber(left, right):
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""" Adding a monumber and a mofraction
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:param left: a mofraction
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:param right: a monumber
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:returns: Tree with the number converted into a mofraction
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>>> a = MOFraction(6, 5)
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>>> b = MOnumber(4)
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>>> print(mofraction_monumber(a, b))
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+
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> /
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| > 6
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| > 5
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> /
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| > 4
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| > 1
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"""
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if not isinstance(left, MOFraction) or not isinstance(right, MOnumber):
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raise AddError(f"Wrong type for left (got {left.__class__.__name__})"
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f"or right (got {right.__class__.__name__})")
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right_fraction = MOFraction(right, MOnumber(1))
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return Tree("+", left, right_fraction)
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2018-03-12 04:34:26 +00:00
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def mofraction_mofraction(left, right):
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""" Adding two mofractions
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:param left: a mofraction
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:param right: a mofraction
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:returns: Tree
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>>> a = MOFraction(1, 5)
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>>> b = MOFraction(4, 5)
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>>> print(mofraction_mofraction(a, b))
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/
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> +
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| > 1
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| > 4
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> 5
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>>> a = MOFraction(1, 5, True)
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>>> b = MOFraction(4, 5)
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>>> print(mofraction_mofraction(a, b))
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/
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> +
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| > -
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| | > None
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| | > 1
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| > 4
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> 5
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>>> a = MOFraction(1, 5)
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>>> b = MOFraction(4, 5, True)
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>>> print(mofraction_mofraction(a, b))
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/
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> +
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| > 1
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| > -
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| | > None
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| | > 4
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> 5
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>>> a = MOFraction(1, 2)
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>>> b = MOFraction(1, 4)
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>>> print(mofraction_mofraction(a, b))
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+
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> /
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| > *
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| | > 1
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| | > 2
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| > *
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| | > 2
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| | > 2
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> /
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| > 1
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| > 4
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>>> a = MOFraction(1, 2)
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>>> b = MOFraction(1, 5)
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>>> print(mofraction_mofraction(a, b))
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+
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> /
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| > *
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| | > 1
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| | > 5
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| > *
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| | > 2
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| | > 5
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> /
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| > *
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| | > 1
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| | > 2
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| > *
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| | > 5
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| | > 2
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"""
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if not isinstance(left, MOFraction) or not isinstance(right, MOFraction):
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raise AddError(f"Wrong type for left (got {left.__class__.__name__})"
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f"or right (got {right.__class__.__name__})")
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if left.denominator == right.denominator:
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num = Tree("+", left.numerator, right.numerator)
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return Tree("/", num, left.denominator)
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denom_lcm = lcm(left.denominator, right.denominator)
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if left.denominator == denom_lcm:
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left_frac = left
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else:
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multiply_by = denom_lcm // left.denominator
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left_num = Tree("*", left.numerator, MO.factory(multiply_by))
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left_denom = Tree("*", left.denominator, MO.factory(multiply_by))
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left_frac = Tree("/", left_num, left_denom)
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if right.denominator == denom_lcm:
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right_frac = right
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else:
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multiply_by = denom_lcm // right.denominator
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right_num = Tree("*", right.numerator, MO.factory(multiply_by))
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right_denom = Tree("*", right.denominator, MO.factory(multiply_by))
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right_frac = Tree("/", right_num, right_denom)
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return Tree("+", left_frac, right_frac)
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2018-03-11 15:34:41 +00:00
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# TODO: Faire un décorateur pour un enregistrement automatique |dim. mars 11 18:24:32 EAT 2018
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ADDFUNCTIONS = {
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(MOnumber, MOnumber): monumber_monumber,
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(MOnumber, MOFraction): monumber_mofraction,
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(MOFraction, MOnumber): mofraction_monumber,
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2018-03-12 04:34:26 +00:00
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(MOFraction, MOFraction): mofraction_mofraction,
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2018-03-11 15:34:41 +00:00
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}
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# -----------------------------
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# Reglages pour 'vim'
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# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
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# cursor: 16 del
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