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

219 lines
5.2 KiB
Python

#! /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
from ..operator import OPERATORS
from ..MO.mo import MO, MOnumber, MOstr
from ..MO.fraction import MOFraction
from .exceptions import AddError
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)
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 = {
(MOnumber, MOnumber): monumber_monumber,
(MOnumber, MOFraction): monumber_mofraction,
(MOFraction, MOnumber): mofraction_monumber,
(MOFraction, MOFraction): mofraction_mofraction,
}
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