101 lines
2.1 KiB
Python
101 lines
2.1 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.
|
|
|
|
"""
|
|
Power with MO
|
|
"""
|
|
|
|
from multipledispatch import Dispatcher
|
|
from ..tree import Tree
|
|
from ..MO.mo import MO, MOnumber, MOstr
|
|
from ..MO.fraction import MOFraction
|
|
from ..MO.monomial import MOstrPower, MOMonomial
|
|
from .filters import special_case
|
|
|
|
power_doc = """ Power of MOs
|
|
|
|
:param left: left MO
|
|
:param right: right MO
|
|
:returns: Tree or MO
|
|
|
|
"""
|
|
|
|
power = Dispatcher("power", doc=power_doc)
|
|
|
|
def power_filter(left, right):
|
|
""" Automatic power on MO
|
|
|
|
:param left: MO
|
|
:param right: MO
|
|
:returns: MO if it is a special case, nothing other wise
|
|
|
|
>>> a = MOnumber(5)
|
|
>>> b = MOnumber(1)
|
|
>>> power(a, b)
|
|
<MOnumber 5>
|
|
>>> a = MOnumber(5)
|
|
>>> b = MOnumber(0)
|
|
>>> power(a, b)
|
|
<MOnumber 1>
|
|
>>> a = MOFraction(1, 2)
|
|
>>> b = MOnumber(1)
|
|
>>> power(a, b)
|
|
<MOFraction 1 / 2>
|
|
>>> a = MOFraction(1, 2)
|
|
>>> b = MOnumber(0)
|
|
>>> power(a, b)
|
|
<MOnumber 1>
|
|
"""
|
|
try:
|
|
if right == 0:
|
|
return MOnumber(1)
|
|
elif right == 1:
|
|
return left
|
|
except TypeError:
|
|
pass
|
|
|
|
@power.register(MOnumber, MOnumber)
|
|
@special_case(power_filter)
|
|
def monumber_monumber(left, right):
|
|
""" Simply power values
|
|
|
|
>>> a = MOnumber(4)
|
|
>>> b = MOnumber(6)
|
|
>>> power(a, b)
|
|
<MOnumber 4096>
|
|
|
|
"""
|
|
return MO.factory(left.value ** right.value)
|
|
|
|
@power.register(MOFraction, MOnumber)
|
|
@special_case(power_filter)
|
|
def mofraction_monumber(left, right):
|
|
""" Return division Tree with on the numertor MOnumber times numerator of MOFraction
|
|
|
|
>>> a = MOFraction(3, 2)
|
|
>>> b = MOnumber(2)
|
|
>>> print(power(a, b))
|
|
/
|
|
> ^
|
|
| > 3
|
|
| > 2
|
|
> ^
|
|
| > 2
|
|
| > 2
|
|
"""
|
|
num = Tree("^", left.numerator, right)
|
|
denom = Tree("^", left.denominator, right)
|
|
return Tree("/", num, denom)
|
|
|
|
|
|
|
|
# -----------------------------
|
|
# Reglages pour 'vim'
|
|
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
|
|
# cursor: 16 del
|