Mapytex/mapytex/calculus/core/MO/monomial.py

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2018-03-14 08:42:43 +00:00
#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#
# Copyright © 2017 lafrite <lafrite@Poivre>
#
# Distributed under terms of the MIT license.
from mapytex.calculus.core.tree import Tree
from .mo import MO, MOnumber, MOstr
from .exceptions import MOError
from ..renders import tree2txt, tree2tex
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__all__ = ["MOMonomial"]
class MOMonomial(MO):
""" Monomial math object"""
def __init__(self, coefficient, variable, power = 1):
""" Initiate the MOMonomial
:param coefficient: coefficient of the monomial (a non zero constant)
:param variable: varaible of the monomial (a MOstr or later a MOSqrt)
:param power: non negative interger (MOnumber type)
>>> MOMonomial(4, "x", 2)
<MOMonomial 4x^2>
>>> MOMonomial(4, "x", 1)
<MOMonomial 4x>
>>> MOMonomial(1, "x", 2)
<MOMonomial x^2>
>>> MOMonomial(1, "x", 1)
<MOMonomial x>
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>>> MOMonomial(4, 3, 1)
Traceback (most recent call last):
...
mapytex.calculus.core.MO.exceptions.MOError: The variable of a monomial should be convertible into MOstr
>>> MOMonomial(4, "x", 0)
Traceback (most recent call last):
...
mapytex.calculus.core.MO.exceptions.MOError: The power of a monomial should be greater than 0
>>> MOMonomial(4, "x", -2)
Traceback (most recent call last):
...
mapytex.calculus.core.MO.exceptions.MOError: The power of a monomial should be greater than 0
>>> MOMonomial(4, "x", 2.4)
Traceback (most recent call last):
...
mapytex.calculus.core.MO.exceptions.MOError: The power of a monomial should be a integer
>>> MOMonomial(0, "x", 1)
Traceback (most recent call last):
...
mapytex.calculus.core.MO.exceptions.MOError: The coefficient of a monomial should not be 0
"""
_coefficient = MO.factory(coefficient)
if coefficient == 0:
raise MOError("The coefficient of a monomial should not be 0")
self._coefficient = _coefficient
_variable = MO.factory(variable)
if not isinstance(_variable, MOstr):
raise MOError("The variable of a monomial should be convertible into MOstr")
self._variable = _variable
_power = MO.factory(power)
if power <= 0:
raise MOError("The power of a monomial should be greater than 0")
elif not isinstance(_power.value, int):
raise MOError("The power of a monomial should be a integer")
self._power = _power
if self._power > 1:
self.value = Tree("*",
self._coefficient,
Tree("^",
self._variable,
self._power
)
)
else:
self.value = Tree("*",
self._coefficient,
self._variable,
)
@property
def __txt__(self):
try:
if self._coefficient == 1:
try:
return tree2txt(self.value.right_value)
except AttributeError:
return str(self.value.right_value)
except TypeError:
pass
try:
return tree2txt(self.value)
except AttributeError:
return str(self.value)
@property
def __tex__(self):
try:
if self._coefficient == 1:
try:
return tree2tex(self.value.right_value)
except AttributeError:
return str(self.value.right_value)
except TypeError:
pass
try:
return tree2tex(self.value)
except AttributeError:
return str(self.value)
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