///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
/// Permission is hereby granted, free of charge, to any person obtaining a copy
/// of this software and associated documentation files (the "Software"), to deal
/// in the Software without restriction, including without limitation the rights
/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
/// copies of the Software, and to permit persons to whom the Software is
/// 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.
/// 
/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
/// THE SOFTWARE.
///
/// @ref gtx_transform2
/// @file glm/gtx/transform2.inl
/// @date 2005-12-21 / 2011-06-07
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////

namespace glm
{
        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x3<T, P> shearX2D(
                const tmat3x3<T, P>& m, 
                T s)
        {
                tmat3x3<T, P> r(1);
                r[0][1] = s;
                return m * r;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x3<T, P> shearY2D(
                const tmat3x3<T, P>& m, 
                T s)
        {
                tmat3x3<T, P> r(1);
                r[1][0] = s;
                return m * r;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat4x4<T, P> shearX3D(
                const tmat4x4<T, P>& m, 
                T s, 
                T t)
        {
                tmat4x4<T, P> r(1);
                r[1][0] = s;
                r[2][0] = t;
                return m * r;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat4x4<T, P> shearY3D(
                const tmat4x4<T, P>& m, 
                T s, 
                T t)
        {
                tmat4x4<T, P> r(1);
                r[0][1] = s;
                r[2][1] = t;
                return m * r;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat4x4<T, P> shearZ3D(
                const tmat4x4<T, P>& m, 
                T s, 
                T t)
        {
                tmat4x4<T, P> r(1);
                r[0][2] = s;
                r[1][2] = t;
                return m * r;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x3<T, P> reflect2D(
                const tmat3x3<T, P>& m, 
                const tvec3<T, P>& normal)
        {
                tmat3x3<T, P> r(1);
                r[0][0] = 1 - 2 * normal.x * normal.x;
                r[0][1] = -2 * normal.x * normal.y;
                r[1][0] = -2 * normal.x * normal.y;
                r[1][1] = 1 - 2 * normal.y * normal.y;
                return m * r;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat4x4<T, P> reflect3D(
                const tmat4x4<T, P>& m, 
                const tvec3<T, P>& normal)
        {
                tmat4x4<T, P> r(1);
                r[0][0] = 1 - 2 * normal.x * normal.x;
                r[0][1] = -2 * normal.x * normal.y;
                r[0][2] = -2 * normal.x * normal.z;

                r[1][0] = -2 * normal.x * normal.y;
                r[1][1] = 1 - 2 * normal.y * normal.y;
                r[1][2] = -2 * normal.y * normal.z;

                r[2][0] = -2 * normal.x * normal.z;
                r[2][1] = -2 * normal.y * normal.z;
                r[2][2] = 1 - 2 * normal.z * normal.z;
                return m * r;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x3<T, P> proj2D(
                const tmat3x3<T, P>& m, 
                const tvec3<T, P>& normal)
        {
                tmat3x3<T, P> r(1);
                r[0][0] = 1 - normal.x * normal.x;
                r[0][1] = - normal.x * normal.y;
                r[1][0] = - normal.x * normal.y;
                r[1][1] = 1 - normal.y * normal.y;
                return m * r;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat4x4<T, P> proj3D(
                const tmat4x4<T, P>& m, 
                const tvec3<T, P>& normal)
        {
                tmat4x4<T, P> r(1);
                r[0][0] = 1 - normal.x * normal.x;
                r[0][1] = - normal.x * normal.y;
                r[0][2] = - normal.x * normal.z;
                r[1][0] = - normal.x * normal.y;
                r[1][1] = 1 - normal.y * normal.y;
                r[1][2] = - normal.y * normal.z;
                r[2][0] = - normal.x * normal.z;
                r[2][1] = - normal.y * normal.z;
                r[2][2] = 1 - normal.z * normal.z;
                return m * r;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat4x4<T, P> scaleBias(
                T scale, 
                T bias)
        {
                tmat4x4<T, P> result;
                result[3] = tvec4<T, P>(tvec3<T, P>(bias), T(1));
                result[0][0] = scale;
                result[1][1] = scale;
                result[2][2] = scale;
                return result;
        }

        template <typename T, precision P> 
        GLM_FUNC_QUALIFIER tmat4x4<T, P> scaleBias(
                const tmat4x4<T, P>& m, 
                T scale, 
                T bias)
        {
                return m * scaleBias(scale, bias);
        }
}//namespace glm