# Copyright (c) 2013, GPy authors (see AUTHORS.txt).
# Licensed under the BSD 3-clause license (see LICENSE.txt)

import numpy as np
from ..core import Mapping

class Additive(Mapping):
    """
    Mapping based on adding two existing mappings together.

    .. math::

       f(\mathbf{x}*) = f_1(\mathbf{x}*) + f_2(\mathbf(x)*)

    :param mapping1: first mapping to add together.
    :type mapping1: GPy.mappings.Mapping
    :param mapping2: second mapping to add together.
    :type mapping2: GPy.mappings.Mapping

    """

    def __init__(self, mapping1, mapping2):
        assert(mapping1.input_dim==mapping2.input_dim)
        assert(mapping1.output_dim==mapping2.output_dim)
        input_dim, output_dim = mapping1.input_dim, mapping1.output_dim
        Mapping.__init__(self, input_dim=input_dim, output_dim=output_dim)
        self.mapping1 = mapping1
        self.mapping2 = mapping2

    def f(self, X):
        return self.mapping1.f(X) + self.mapping2.f(X)

    def update_gradients(self, dL_dF, X):
        self.mapping1.update_gradients(dL_dF, X)
        self.mapping2.update_gradients(dL_dF, X)

    def gradients_X(self, dL_dF, X):
        return self.mapping1.gradients_X(dL_dF, X) + self.mapping2.gradients_X(dL_dF, X)