///////////////////////////////////////////////////////////////////////////////////
/// 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 core
/// @file glm/detail/type_mat3x4.inl
/// @date 2006-08-05 / 2011-06-15
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////

namespace glm
{
        //////////////////////////////////////////////////////////////
        // Constructors

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4()
        {
#               ifndef GLM_FORCE_NO_CTOR_INIT 
                        this->value[0] = col_type(1, 0, 0, 0);
                        this->value[1] = col_type(0, 1, 0, 0);
                        this->value[2] = col_type(0, 0, 1, 0);
#               endif
        }

        template <typename T, precision P>
        template <precision Q>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4(tmat3x4<T, Q> const & m)
        {
                this->value[0] = m.value[0];
                this->value[1] = m.value[1];
                this->value[2] = m.value[2];
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4(ctor)
        {}

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4(T const & s)
        {
                value_type const Zero(0);
                this->value[0] = col_type(s, Zero, Zero, Zero);
                this->value[1] = col_type(Zero, s, Zero, Zero);
                this->value[2] = col_type(Zero, Zero, s, Zero);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4
        (
                T const & x0, T const & y0, T const & z0, T const & w0,
                T const & x1, T const & y1, T const & z1, T const & w1,
                T const & x2, T const & y2, T const & z2, T const & w2
        )
        {
                this->value[0] = col_type(x0, y0, z0, w0);
                this->value[1] = col_type(x1, y1, z1, w1);
                this->value[2] = col_type(x2, y2, z2, w2);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4
        (
                col_type const & v0,
                col_type const & v1,
                col_type const & v2
        )
        {
                this->value[0] = v0;
                this->value[1] = v1;
                this->value[2] = v2;
        }

        //////////////////////////////////////
        // Conversion constructors
        template <typename T, precision P>
        template <
                typename X1, typename Y1, typename Z1, typename W1,
                typename X2, typename Y2, typename Z2, typename W2,
                typename X3, typename Y3, typename Z3, typename W3>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4
        (
                X1 const & x1, Y1 const & y1, Z1 const & z1, W1 const & w1,
                X2 const & x2, Y2 const & y2, Z2 const & z2, W2 const & w2,
                X3 const & x3, Y3 const & y3, Z3 const & z3, W3 const & w3
        )
        {
                this->value[0] = col_type(static_cast<T>(x1), value_type(y1), value_type(z1), value_type(w1));
                this->value[1] = col_type(static_cast<T>(x2), value_type(y2), value_type(z2), value_type(w2));
                this->value[2] = col_type(static_cast<T>(x3), value_type(y3), value_type(z3), value_type(w3));
        }
        
        template <typename T, precision P>
        template <typename V1, typename V2, typename V3>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4
        (
                tvec4<V1, P> const & v1,
                tvec4<V2, P> const & v2,
                tvec4<V3, P> const & v3
        )
        {
                this->value[0] = col_type(v1);
                this->value[1] = col_type(v2);
                this->value[2] = col_type(v3);
        }
        
        // Conversion
        template <typename T, precision P>
        template <typename U, precision Q>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4(tmat3x4<U, Q> const & m)
        {
                this->value[0] = col_type(m[0]);
                this->value[1] = col_type(m[1]);
                this->value[2] = col_type(m[2]);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4(tmat2x2<T, P> const & m)
        {
                this->value[0] = col_type(m[0], 0, 0);
                this->value[1] = col_type(m[1], 0, 0);
                this->value[2] = col_type(0, 0, 1, 0);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4(tmat3x3<T, P> const & m)
        {
                this->value[0] = col_type(m[0], 0);
                this->value[1] = col_type(m[1], 0);
                this->value[2] = col_type(m[2], 0);
        }

        template <typename T, precision P> 
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4(tmat4x4<T, P> const & m)
        {
                this->value[0] = col_type(m[0]);
                this->value[1] = col_type(m[1]);
                this->value[2] = col_type(m[2]);
        }

        template <typename T, precision P> 
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4(tmat2x3<T, P> const & m)
        {
                this->value[0] = col_type(m[0], 0);
                this->value[1] = col_type(m[1], 0);
                this->value[2] = col_type(0, 0, 1, 0);
        }

        template <typename T, precision P> 
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4(tmat3x2<T, P> const & m)
        {
                this->value[0] = col_type(m[0], 0, 0);
                this->value[1] = col_type(m[1], 0, 0);
                this->value[2] = col_type(m[2], 0, 1);
        }

        template <typename T, precision P> 
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4(tmat2x4<T, P> const & m)
        {
                this->value[0] = col_type(m[0]);
                this->value[1] = col_type(m[1]);
                this->value[2] = col_type(0, 0, 1, 0);
        }

        template <typename T, precision P> 
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4(tmat4x2<T, P> const & m)
        {
                this->value[0] = col_type(m[0], 0, 0);
                this->value[1] = col_type(m[1], 0, 0);
                this->value[2] = col_type(m[2], 1, 0);
        }

        template <typename T, precision P> 
        GLM_FUNC_QUALIFIER tmat3x4<T, P>::tmat3x4(tmat4x3<T, P> const & m)
        {
                this->value[0] = col_type(m[0], 0);
                this->value[1] = col_type(m[1], 0);
                this->value[2] = col_type(m[2], 0);
        }

        //////////////////////////////////////
        // Accesses

#       ifdef GLM_FORCE_SIZE_FUNC
                template <typename T, precision P>
                GLM_FUNC_QUALIFIER GLM_CONSTEXPR typename tmat3x4<T, P>::size_type tmat3x4<T, P>::size() const
                {
                        return 3;
                }

                template <typename T, precision P>
                GLM_FUNC_QUALIFIER typename tmat3x4<T, P>::col_type & tmat3x4<T, P>::operator[](typename tmat3x4<T, P>::size_type i)
                {
                        assert(i < this->size());
                        return this->value[i];
                }

                template <typename T, precision P>
                GLM_FUNC_QUALIFIER typename tmat3x4<T, P>::col_type const & tmat3x4<T, P>::operator[](typename tmat3x4<T, P>::size_type i) const
                {
                        assert(i < this->size());
                        return this->value[i];
                }
#       else
                template <typename T, precision P>
                GLM_FUNC_QUALIFIER GLM_CONSTEXPR typename tmat3x4<T, P>::length_type tmat3x4<T, P>::length() const
                {
                        return 3;
                }

                template <typename T, precision P>
                GLM_FUNC_QUALIFIER typename tmat3x4<T, P>::col_type & tmat3x4<T, P>::operator[](typename tmat3x4<T, P>::length_type i)
                {
                        assert(i < this->length());
                        return this->value[i];
                }

                template <typename T, precision P>
                GLM_FUNC_QUALIFIER typename tmat3x4<T, P>::col_type const & tmat3x4<T, P>::operator[](typename tmat3x4<T, P>::length_type i) const
                {
                        assert(i < this->length());
                        return this->value[i];
                }
#       endif//GLM_FORCE_SIZE_FUNC

        //////////////////////////////////////////////////////////////
        // Unary updatable operators

        template <typename T, precision P> 
        template <typename U> 
        GLM_FUNC_QUALIFIER tmat3x4<T, P>& tmat3x4<T, P>::operator=(tmat3x4<U, P> const & m)
        {
                this->value[0] = m[0];
                this->value[1] = m[1];
                this->value[2] = m[2];
                return *this;
        }

        template <typename T, precision P> 
        template <typename U> 
        GLM_FUNC_QUALIFIER tmat3x4<T, P>& tmat3x4<T, P>::operator+=(U s)
        {
                this->value[0] += s;
                this->value[1] += s;
                this->value[2] += s;
                return *this;
        }

        template <typename T, precision P> 
        template <typename U> 
        GLM_FUNC_QUALIFIER tmat3x4<T, P>& tmat3x4<T, P>::operator+=(tmat3x4<U, P> const & m)
        {
                this->value[0] += m[0];
                this->value[1] += m[1];
                this->value[2] += m[2];
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>& tmat3x4<T, P>::operator-=(U s)
        {
                this->value[0] -= s;
                this->value[1] -= s;
                this->value[2] -= s;
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>& tmat3x4<T, P>::operator-=(tmat3x4<U, P> const & m)
        {
                this->value[0] -= m[0];
                this->value[1] -= m[1];
                this->value[2] -= m[2];
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>& tmat3x4<T, P>::operator*=(U s)
        {
                this->value[0] *= s;
                this->value[1] *= s;
                this->value[2] *= s;
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tmat3x4<T, P> & tmat3x4<T, P>::operator/=(U s)
        {
                this->value[0] /= s;
                this->value[1] /= s;
                this->value[2] /= s;
                return *this;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>& tmat3x4<T, P>::operator++()
        {
                ++this->value[0];
                ++this->value[1];
                ++this->value[2];
                return *this;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P>& tmat3x4<T, P>::operator--()
        {
                --this->value[0];
                --this->value[1];
                --this->value[2];
                return *this;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P> tmat3x4<T, P>::operator++(int)
        {
                tmat3x4<T, P> Result(*this);
                ++*this;
                return Result;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P> tmat3x4<T, P>::operator--(int)
        {
                tmat3x4<T, P> Result(*this);
                --*this;
                return Result;
        }

        //////////////////////////////////////////////////////////////
        // Binary operators

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P> operator+(tmat3x4<T, P> const & m, T const & s)
        {
                return tmat3x4<T, P>(
                        m[0] + s,
                        m[1] + s,
                        m[2] + s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P> operator+(tmat3x4<T, P> const & m1, tmat3x4<T, P> const & m2)
        {
                return tmat3x4<T, P>(
                        m1[0] + m2[0],
                        m1[1] + m2[1],
                        m1[2] + m2[2]);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P> operator-(tmat3x4<T, P> const & m,     T const & s)
        {
                return tmat3x4<T, P>(
                        m[0] - s,
                        m[1] - s,
                        m[2] - s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P> operator-(tmat3x4<T, P> const & m1, tmat3x4<T, P> const & m2)
        {
                return tmat3x4<T, P>(
                        m1[0] - m2[0],
                        m1[1] - m2[1],
                        m1[2] - m2[2]);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P> operator*(tmat3x4<T, P> const & m, T const & s)
        {
                return tmat3x4<T, P>(
                        m[0] * s,
                        m[1] * s,
                        m[2] * s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P> operator*(T const & s, tmat3x4<T, P> const & m)
        {
                return tmat3x4<T, P>(
                        m[0] * s,
                        m[1] * s,
                        m[2] * s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER typename tmat3x4<T, P>::col_type operator*
        (
                tmat3x4<T, P> const & m,
                typename tmat3x4<T, P>::row_type const & v
        )
        {
                return typename tmat3x4<T, P>::col_type(
                        m[0][0] * v.x + m[1][0] * v.y + m[2][0] * v.z,
                        m[0][1] * v.x + m[1][1] * v.y + m[2][1] * v.z,
                        m[0][2] * v.x + m[1][2] * v.y + m[2][2] * v.z,
                        m[0][3] * v.x + m[1][3] * v.y + m[2][3] * v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER typename tmat3x4<T, P>::row_type operator*
        (
                typename tmat3x4<T, P>::col_type const & v,
                tmat3x4<T, P> const & m
        )
        {
                return typename tmat3x4<T, P>::row_type(
                        v.x * m[0][0] + v.y * m[0][1] + v.z * m[0][2] + v.w * m[0][3],
                        v.x * m[1][0] + v.y * m[1][1] + v.z * m[1][2] + v.w * m[1][3],
                        v.x * m[2][0] + v.y * m[2][1] + v.z * m[2][2] + v.w * m[2][3]);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat4x4<T, P> operator*(tmat3x4<T, P> const & m1, tmat4x3<T, P> const & m2)
        {
                const T SrcA00 = m1[0][0];
                const T SrcA01 = m1[0][1];
                const T SrcA02 = m1[0][2];
                const T SrcA03 = m1[0][3];
                const T SrcA10 = m1[1][0];
                const T SrcA11 = m1[1][1];
                const T SrcA12 = m1[1][2];
                const T SrcA13 = m1[1][3];
                const T SrcA20 = m1[2][0];
                const T SrcA21 = m1[2][1];
                const T SrcA22 = m1[2][2];
                const T SrcA23 = m1[2][3];

                const T SrcB00 = m2[0][0];
                const T SrcB01 = m2[0][1];
                const T SrcB02 = m2[0][2];
                const T SrcB10 = m2[1][0];
                const T SrcB11 = m2[1][1];
                const T SrcB12 = m2[1][2];
                const T SrcB20 = m2[2][0];
                const T SrcB21 = m2[2][1];
                const T SrcB22 = m2[2][2];
                const T SrcB30 = m2[3][0];
                const T SrcB31 = m2[3][1];
                const T SrcB32 = m2[3][2];

                tmat4x4<T, P> Result(uninitialize);
                Result[0][0] = SrcA00 * SrcB00 + SrcA10 * SrcB01 + SrcA20 * SrcB02;
                Result[0][1] = SrcA01 * SrcB00 + SrcA11 * SrcB01 + SrcA21 * SrcB02;
                Result[0][2] = SrcA02 * SrcB00 + SrcA12 * SrcB01 + SrcA22 * SrcB02;
                Result[0][3] = SrcA03 * SrcB00 + SrcA13 * SrcB01 + SrcA23 * SrcB02;
                Result[1][0] = SrcA00 * SrcB10 + SrcA10 * SrcB11 + SrcA20 * SrcB12;
                Result[1][1] = SrcA01 * SrcB10 + SrcA11 * SrcB11 + SrcA21 * SrcB12;
                Result[1][2] = SrcA02 * SrcB10 + SrcA12 * SrcB11 + SrcA22 * SrcB12;
                Result[1][3] = SrcA03 * SrcB10 + SrcA13 * SrcB11 + SrcA23 * SrcB12;
                Result[2][0] = SrcA00 * SrcB20 + SrcA10 * SrcB21 + SrcA20 * SrcB22;
                Result[2][1] = SrcA01 * SrcB20 + SrcA11 * SrcB21 + SrcA21 * SrcB22;
                Result[2][2] = SrcA02 * SrcB20 + SrcA12 * SrcB21 + SrcA22 * SrcB22;
                Result[2][3] = SrcA03 * SrcB20 + SrcA13 * SrcB21 + SrcA23 * SrcB22;
                Result[3][0] = SrcA00 * SrcB30 + SrcA10 * SrcB31 + SrcA20 * SrcB32;
                Result[3][1] = SrcA01 * SrcB30 + SrcA11 * SrcB31 + SrcA21 * SrcB32;
                Result[3][2] = SrcA02 * SrcB30 + SrcA12 * SrcB31 + SrcA22 * SrcB32;
                Result[3][3] = SrcA03 * SrcB30 + SrcA13 * SrcB31 + SrcA23 * SrcB32;
                return Result;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat2x4<T, P> operator*(tmat3x4<T, P> const & m1, tmat2x3<T, P> const & m2)
        {
                return tmat2x4<T, P>(
                        m1[0][0] * m2[0][0] + m1[1][0] * m2[0][1] + m1[2][0] * m2[0][2],
                        m1[0][1] * m2[0][0] + m1[1][1] * m2[0][1] + m1[2][1] * m2[0][2],
                        m1[0][2] * m2[0][0] + m1[1][2] * m2[0][1] + m1[2][2] * m2[0][2],
                        m1[0][3] * m2[0][0] + m1[1][3] * m2[0][1] + m1[2][3] * m2[0][2],
                        m1[0][0] * m2[1][0] + m1[1][0] * m2[1][1] + m1[2][0] * m2[1][2],
                        m1[0][1] * m2[1][0] + m1[1][1] * m2[1][1] + m1[2][1] * m2[1][2],
                        m1[0][2] * m2[1][0] + m1[1][2] * m2[1][1] + m1[2][2] * m2[1][2],
                        m1[0][3] * m2[1][0] + m1[1][3] * m2[1][1] + m1[2][3] * m2[1][2]);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P> operator*(tmat3x4<T, P> const & m1, tmat3x3<T, P> const & m2)
        {
                return tmat3x4<T, P>(
                        m1[0][0] * m2[0][0] + m1[1][0] * m2[0][1] + m1[2][0] * m2[0][2],
                        m1[0][1] * m2[0][0] + m1[1][1] * m2[0][1] + m1[2][1] * m2[0][2],
                        m1[0][2] * m2[0][0] + m1[1][2] * m2[0][1] + m1[2][2] * m2[0][2],
                        m1[0][3] * m2[0][0] + m1[1][3] * m2[0][1] + m1[2][3] * m2[0][2],
                        m1[0][0] * m2[1][0] + m1[1][0] * m2[1][1] + m1[2][0] * m2[1][2],
                        m1[0][1] * m2[1][0] + m1[1][1] * m2[1][1] + m1[2][1] * m2[1][2],
                        m1[0][2] * m2[1][0] + m1[1][2] * m2[1][1] + m1[2][2] * m2[1][2],
                        m1[0][3] * m2[1][0] + m1[1][3] * m2[1][1] + m1[2][3] * m2[1][2],
                        m1[0][0] * m2[2][0] + m1[1][0] * m2[2][1] + m1[2][0] * m2[2][2],
                        m1[0][1] * m2[2][0] + m1[1][1] * m2[2][1] + m1[2][1] * m2[2][2],
                        m1[0][2] * m2[2][0] + m1[1][2] * m2[2][1] + m1[2][2] * m2[2][2],
                        m1[0][3] * m2[2][0] + m1[1][3] * m2[2][1] + m1[2][3] * m2[2][2]);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P> operator/(tmat3x4<T, P> const & m,     T const & s)
        {
                return tmat3x4<T, P>(
                        m[0] / s,
                        m[1] / s,
                        m[2] / s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P> operator/(T const & s, tmat3x4<T, P> const & m)
        {
                return tmat3x4<T, P>(
                        s / m[0],
                        s / m[1],
                        s / m[2]);
        }

        // Unary constant operators
        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tmat3x4<T, P> const operator-(tmat3x4<T, P> const & m)
        {
                return tmat3x4<T, P>(
                        -m[0],
                        -m[1],
                        -m[2]);
        }

        //////////////////////////////////////
        // Boolean operators

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER bool operator==(tmat3x4<T, P> const & m1, tmat3x4<T, P> const & m2)
        {
                return (m1[0] == m2[0]) && (m1[1] == m2[1]) && (m1[2] == m2[2]);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER bool operator!=(tmat3x4<T, P> const & m1, tmat3x4<T, P> const & m2)
        {
                return (m1[0] != m2[0]) || (m1[1] != m2[1]) || (m1[2] != m2[2]);
        }
} //namespace glm