#! /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 Molecule, MO from .atoms import MOnumber from decimal import Decimal __all__ = ["MOFraction"] class MOFraction(Molecule): """ Fraction math object""" MAINOP = "/" def __init__(self, numerator, denominator, negative=False): """ Initiate the MOFraction It can't be indempotent. :param numerator: Numerator of the Fraction :param denominator: Denominator of the Fraction :param negative: Is the fraction negative (not concidering sign of numerator or denominator. >>> f = MOFraction(2, 3) >>> f >>> print(f.tree) / > 2 > 3 >>> print(f) 2 / 3 >>> f = MOFraction(2, 3, negative = True) >>> f """ _numerator = MO.factory(numerator) _denominator = MO.factory(denominator) base_tree = Tree("/", _numerator, _denominator) if negative: tree = Tree("-", None, base_tree) else: tree = base_tree Molecule.__init__(self, tree) self._numerator = _numerator self._denominator = _denominator self.negative = negative @property def numerator(self): """ Get the numerator. If self is negative, getting the opposite of the _numerator """ if self.negative: return Tree("-", None, self._numerator) return self._numerator @property def denominator(self): return self._denominator @property def _value(self): return Decimal(self._numerator._value) / Decimal(self._denominator._value) def inverse(self): """ return the inverse fraction """ return MOFraction(self._denominator, self._numerator, self.negative) def differentiate(self): """ differentiate a fraction and get something! :example: >>> a = MOFraction(2, 3) >>> a.differentiate() """ d_num = self.numerator.differentiate() d_denom = self.denominator.differentiate() if d_num == 0 and d_denom == 0: return MOnumber(0) else: raise NotImplementedError # ----------------------------- # Reglages pour 'vim' # vim:set autoindent expandtab tabstop=4 shiftwidth=4: # cursor: 16 del