Mapytex/mapytex/calculus/API/tokens/polynomial.py

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

"""
Tokens representing polynomials functions 

"""
from .token import Token
from ...core.MO import MO

__all__ = ["Polynomial", "Quadratic", "Linear"]


class Polynomial(Token):

    """ Token representing a polynomial 

    :examples:
    >>> from ...core.MO.polynomial import MOpolynomial
    >>> P = Polynomial(MOpolynomial('x', [1, 2, 3]))
    >>> P
    """

    def __init__(self, a, name="", ancestor=None):
        if not isinstance(a, MO):
            if isinstance(a, str):
                raise TypeError
            else:
                raise TypeError
        else:
            mo = a

        Token.__init__(self, mo, name, ancestor)
        self._mathtype = "polynome"

    @classmethod
    def from_mo(cls, mo, name="", ancestor=None):

        return cls(mo, name, ancestor)

    @classmethod
    def random(cls):
        raise NotImplemented

    def __setitem__(self, key, item):
        """ Use Polynomial like if they were a dictionnary to set coefficients """
        pass

    def __getitem__(self, key):
        """ Use Polynomial like if they were a dictionnary to get coefficients """
        pass

    def __call__(self, value):
        """ Call a Polynomial to evaluate itself on value 

        :examples:
        >>> from ...core.MO.polynomial import MOpolynomial
        >>> P = Polynomial(MOpolynomial('x', [1, 2, 3]))
        >>> P(2)
        """
        pass


class Linear(Polynomial):

    """ Token representing a linear """

    def __init__(self, mo, name="", ancestor=None):

        Polynomial.__init__(self, mo, name, ancestor)
        self._mathtype = "affine"

    @classmethod
    def random(cls):
        raise NotImplemented


class Quadratic(Polynomial):

    """ Token representing a quadratic """

    def __init__(self, mo, name="", ancestor=None):

        Polynomial.__init__(self, mo, name, ancestor)
        self._mathtype = "polynome du 2nd degré"

    @classmethod
    def random(cls):
        raise NotImplemented


def extract_variable(leaf):
    try:
        return leaf.variable
    except AttributeError:
        return None

def replace(leaf, origin, dest):
    # map_on_leaf sur leaf?
    if leaf == origin:
        return dest
    return leaf
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