#! /usr/bin/env python # -*- coding: utf-8 -*- # vim:fenc=utf-8 # # Copyright © 2017 lafrite # # 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 __all__ = ["MOMonomial"] class MOstrPower(MO): """ Power of a MOstr """ def __init__(self, variable, power): """ Initiate a MOstrPower :param variable: variable of the monomial (a MOstr or later a MOSqrt) :param power: non negative interger (MOnumber type) >>> MOstrPower("x", 2) >>> MOstrPower(3, 1) Traceback (most recent call last): ... mapytex.calculus.core.MO.exceptions.MOError: The variable of a monomial should be convertible into MOstr >>> MOstrPower("x", 0) Traceback (most recent call last): ... mapytex.calculus.core.MO.exceptions.MOError: The power of a MOstrPower should be greater than 1 >>> MOstrPower("x", 1) Traceback (most recent call last): ... mapytex.calculus.core.MO.exceptions.MOError: The power of a MOstrPower should be greater than 1 >>> MOstrPower("x", -2) Traceback (most recent call last): ... mapytex.calculus.core.MO.exceptions.MOError: The power of a MOstrPower should be greater than 1 >>> MOstrPower("x", 2.4) Traceback (most recent call last): ... mapytex.calculus.core.MO.exceptions.MOError: The power of a monomial should be a integer """ _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 <= 1: raise MOError("The power of a MOstrPower should be greater than 1") elif not isinstance(_power._tree, int): raise MOError("The power of a monomial should be a integer") self._power = _power _tree = Tree("^", self._variable, self._power, ) MO.__init__(self, _tree) @property def variable(self): return self._variable @property def power(self): return self._power 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: variable of the monomial (a MOstr, a MOstrPower) :param power: degree of the monomial >>> x = MOstr('x') >>> MOMonomial(4, x) >>> x = MOstrPower('x', 2) >>> MOMonomial(4, x) >>> MOMonomial(0, x) 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 isinstance(_variable, MOstrPower): _power = MO.factory(_variable.power.value * power) _variable = _variable.variable elif isinstance(_variable, MOstr): _variable = variable _power = MO.factory(power) else: raise MOError(f"variable need to be a MOstrPower or a MOstr. Got {type(variable)}.") self._variable = _variable self._power = _power if self._power == 1: if self._coefficient == 1: _tree = self._variable else: _tree = Tree("*", self._coefficient, self._variable ) else: if self._coefficient == 1: _tree = MOstrPower(self._variable, self._power) else: _tree = Tree("*", self._coefficient, MOstrPower(self._variable, self._power) ) MO.__init__(self, _tree) @property def coefficient(self): return self._coefficient @property def strpower(self): return MOstrPower(self._variable, self._power) @property def variable(self): return self._variable @property def power(self): return self._power # ----------------------------- # Reglages pour 'vim' # vim:set autoindent expandtab tabstop=4 shiftwidth=4: # cursor: 16 del