#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#
# Copyright © 2017 lafrite <lafrite@Poivre>
#
# Distributed under terms of the MIT license.

"""
Divide MO
"""

from ..tree import Tree
from ..MO.mo import MO, MOnumber
from ..MO.fraction import MOFraction
from .exceptions import DivideError
from .type_filter import args_are


def divide(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)
    >>> divide(a, b)
    <MOFraction 4 / 6>
    >>> b = MOnumber(0)
    >>> divide(a, b)
    Traceback (most recent call last):
        ...
    mapytex.calculus.core.compute.exceptions.DivideError: Division by zero

    """
    try:
        right.value
    except AttributeError:
        pass
    else:
        if right.value == 0:
            raise DivideError("Division by zero")

    if right.value == 1:
        return left

    return MULFUNCTIONS[(type(left), type(right))](left, right)

@args_are(MOnumber, MOnumber)
def monumber_monumber(left, right):
    """ Divide 2 monumbers

    :param left: left MOnumber
    :param right: right MOnumber
    :returns: MONumber

    >>> a = MOnumber(4)
    >>> b = MOnumber(6)
    >>> monumber_monumber(a, b)
    <MOFraction 4 / 6>
    """
    return MOFraction(left, right)

@args_are(MOnumber, MOFraction)
def monumber_mofraction(left, right):
    """ Divide a monumber and a mofraction

    :param left: a monumber
    :param right: a mofraction
    :returns: Tree with the multiplication on the numerator

    >>> a = MOnumber(4)
    >>> b = MOFraction(6, 5)
    >>> print(monumber_mofraction(a, b))
    *
     > 4
     > /
     | > 5
     | > 6
    >>> b = MOFraction(6, 5, True)
    >>> print(monumber_mofraction(a, b))
    *
     > 4
     > -
     | > None
     | > /
     | | > 5
     | | > 6
    """
    if not isinstance(left, MOnumber) or not isinstance(right, MOFraction):
        raise DivideError(f"Wrong type for left (got {left.__class__.__name__}) \
                or right (got {right.__class__.__name__})")

    return Tree("*", left, right.inverse())

@args_are(MOFraction, MOnumber)
def mofraction_monumber(left, right):
    """ Divide a monumber and a mofraction

    :param left: a mofraction
    :param right: a monumber
    :returns: Tree with a new calculus

    >>> a = MOFraction(6, 5)
    >>> b = MOnumber(4)
    >>> print(mofraction_monumber(a, b))
    *
     > /
     | > 6
     | > 5
     > /
     | > 1
     | > 4
    """

    if not isinstance(left, MOFraction) or not isinstance(right, MOnumber):
        raise DivideError(f"Wrong type for left (got {left.__class__.__name__})"
                          f"or right (got {right.__class__.__name__})")

    right_fraction = MOFraction(1, right)
    return Tree("*", left, right_fraction)

@args_are(MOFraction, MOFraction)
def mofraction_mofraction(left, right):
    """ Divide two mofractions

    :param left: a mofraction
    :param right: a mofraction
    :returns: Tree with a new calculus

    >>> a = MOFraction(1, 5)
    >>> b = MOFraction(4, 5)
    >>> print(mofraction_mofraction(a, b))
    *
     > /
     | > 1
     | > 5
     > /
     | > 5
     | > 4

    """

    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__})")

    return Tree("*", left, right.inverse())

# TODO: Faire un décorateur pour un enregistrement automatique |dim. mars 11 18:24:32 EAT 2018
MULFUNCTIONS = {
    (MOnumber, MOnumber): monumber_monumber,
    (MOnumber, MOFraction): monumber_mofraction,
    (MOFraction, MOnumber): mofraction_monumber,
    (MOFraction, MOFraction): mofraction_mofraction,
    }

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