Mapytex/mapytex/calculus/core/compute/add.py

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