///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
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/// furnished to do so, subject to the following conditions:
/// 
/// The above copyright notice and this permission notice shall be included in
/// all copies or substantial portions of the Software.
/// 
/// Restrictions:
///             By making use of the Software for military purposes, you choose to make
///             a Bunny unhappy.
/// 
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/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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/// @ref gtx_polar_coordinates
/// @file glm/gtx/polar_coordinates.inl
/// @date 2007-03-06 / 2011-06-07
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////

namespace glm
{
        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> polar
        (
                tvec3<T, P> const & euclidean
        )
        {
                T const Length(length(euclidean));
                tvec3<T, P> const tmp(euclidean / Length);
                T const xz_dist(sqrt(tmp.x * tmp.x + tmp.z * tmp.z));

                return tvec3<T, P>(
                        atan(xz_dist, tmp.y),   // latitude
                        atan(tmp.x, tmp.z),             // longitude
                        xz_dist);                               // xz distance
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> euclidean
        (
                tvec2<T, P> const & polar
        )
        {
                T const latitude(polar.x);
                T const longitude(polar.y);

                return tvec3<T, P>(
                        cos(latitude) * sin(longitude),
                        sin(latitude),
                        cos(latitude) * cos(longitude));
        }

}//namespace glm