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authorNikolas <nikolas@boutalas.com>2024-10-27 12:52:55 +0200
committerNikolas <nikolas@boutalas.com>2024-10-27 12:52:55 +0200
commit43394c8a8908442982e3a7e25975c31b3c952923 (patch)
tree2facd563e29f48fe3b0653ac5c113998940b4d5e /3rdparty/include/glm/detail/type_mat4x2.inl
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+///////////////////////////////////////////////////////////////////////////////////
+/// 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_mat4x2.inl
+/// @date 2006-10-01 / 2011-06-15
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+ //////////////////////////////////////////////////////////////
+ // Constructors
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2()
+ {
+# ifndef GLM_FORCE_NO_CTOR_INIT
+ this->value[0] = col_type(1, 0);
+ this->value[1] = col_type(0, 1);
+ this->value[2] = col_type(0, 0);
+ this->value[3] = col_type(0, 0);
+# endif
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2(tmat4x2<T, P> const & m)
+ {
+ this->value[0] = m.value[0];
+ this->value[1] = m.value[1];
+ this->value[2] = m.value[2];
+ this->value[3] = m.value[3];
+ }
+
+ template <typename T, precision P>
+ template <precision Q>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2(tmat4x2<T, Q> const & m)
+ {
+ this->value[0] = m.value[0];
+ this->value[1] = m.value[1];
+ this->value[2] = m.value[2];
+ this->value[3] = m.value[3];
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2(ctor)
+ {}
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2(T const & s)
+ {
+ value_type const Zero(0);
+ this->value[0] = col_type(s, Zero);
+ this->value[1] = col_type(Zero, s);
+ this->value[2] = col_type(Zero, Zero);
+ this->value[3] = col_type(Zero, Zero);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2
+ (
+ T const & x0, T const & y0,
+ T const & x1, T const & y1,
+ T const & x2, T const & y2,
+ T const & x3, T const & y3
+ )
+ {
+ this->value[0] = col_type(x0, y0);
+ this->value[1] = col_type(x1, y1);
+ this->value[2] = col_type(x2, y2);
+ this->value[3] = col_type(x3, y3);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2
+ (
+ col_type const & v0,
+ col_type const & v1,
+ col_type const & v2,
+ col_type const & v3
+ )
+ {
+ this->value[0] = v0;
+ this->value[1] = v1;
+ this->value[2] = v2;
+ this->value[3] = v3;
+ }
+
+ //////////////////////////////////////
+ // Conversion constructors
+
+ template <typename T, precision P>
+ template <
+ typename X1, typename Y1,
+ typename X2, typename Y2,
+ typename X3, typename Y3,
+ typename X4, typename Y4>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2
+ (
+ X1 const & x1, Y1 const & y1,
+ X2 const & x2, Y2 const & y2,
+ X3 const & x3, Y3 const & y3,
+ X4 const & x4, Y4 const & y4
+ )
+ {
+ this->value[0] = col_type(static_cast<T>(x1), value_type(y1));
+ this->value[1] = col_type(static_cast<T>(x2), value_type(y2));
+ this->value[2] = col_type(static_cast<T>(x3), value_type(y3));
+ this->value[3] = col_type(static_cast<T>(x4), value_type(y4));
+ }
+
+ template <typename T, precision P>
+ template <typename V1, typename V2, typename V3, typename V4>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2
+ (
+ tvec2<V1, P> const & v1,
+ tvec2<V2, P> const & v2,
+ tvec2<V3, P> const & v3,
+ tvec2<V4, P> const & v4
+ )
+ {
+ this->value[0] = col_type(v1);
+ this->value[1] = col_type(v2);
+ this->value[2] = col_type(v3);
+ this->value[3] = col_type(v4);
+ }
+
+ //////////////////////////////////////
+ // Conversion
+ template <typename T, precision P>
+ template <typename U, precision Q>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2(tmat4x2<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]);
+ this->value[3] = col_type(m[3]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2(tmat2x2<T, P> const & m)
+ {
+ this->value[0] = col_type(m[0]);
+ this->value[1] = col_type(m[1]);
+ this->value[2] = col_type(0);
+ this->value[3] = col_type(0);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2(tmat3x3<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]);
+ this->value[3] = col_type(0);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2(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]);
+ this->value[3] = col_type(m[3]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2(tmat2x3<T, P> const & m)
+ {
+ this->value[0] = col_type(m[0]);
+ this->value[1] = col_type(m[1]);
+ this->value[2] = col_type(0);
+ this->value[3] = col_type(0);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2(tmat3x2<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]);
+ this->value[3] = col_type(0);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2(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);
+ this->value[3] = col_type(0);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2(tmat4x3<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]);
+ this->value[3] = col_type(m[3]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>::tmat4x2(tmat3x4<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]);
+ this->value[3] = col_type(0);
+ }
+
+ //////////////////////////////////////
+ // Accesses
+
+# ifdef GLM_FORCE_SIZE_FUNC
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR typename tmat4x2<T, P>::size_type tmat4x2<T, P>::size() const
+ {
+ return 4;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat4x2<T, P>::col_type & tmat4x2<T, P>::operator[](typename tmat4x2<T, P>::size_type i)
+ {
+ assert(i < this->size());
+ return this->value[i];
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat4x2<T, P>::col_type const & tmat4x2<T, P>::operator[](typename tmat4x2<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 tmat4x2<T, P>::length_type tmat4x2<T, P>::length() const
+ {
+ return 4;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat4x2<T, P>::col_type & tmat4x2<T, P>::operator[](typename tmat4x2<T, P>::length_type i)
+ {
+ assert(i < this->length());
+ return this->value[i];
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat4x2<T, P>::col_type const & tmat4x2<T, P>::operator[](typename tmat4x2<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>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>& tmat4x2<T, P>::operator=(tmat4x2<T, P> const & m)
+ {
+ this->value[0] = m[0];
+ this->value[1] = m[1];
+ this->value[2] = m[2];
+ this->value[3] = m[3];
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P>& tmat4x2<T, P>::operator=(tmat4x2<U, P> const & m)
+ {
+ this->value[0] = m[0];
+ this->value[1] = m[1];
+ this->value[2] = m[2];
+ this->value[3] = m[3];
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> & tmat4x2<T, P>::operator+=(U s)
+ {
+ this->value[0] += s;
+ this->value[1] += s;
+ this->value[2] += s;
+ this->value[3] += s;
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> & tmat4x2<T, P>::operator+=(tmat4x2<U, P> const & m)
+ {
+ this->value[0] += m[0];
+ this->value[1] += m[1];
+ this->value[2] += m[2];
+ this->value[3] += m[3];
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> & tmat4x2<T, P>::operator-=(U s)
+ {
+ this->value[0] -= s;
+ this->value[1] -= s;
+ this->value[2] -= s;
+ this->value[3] -= s;
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> & tmat4x2<T, P>::operator-=(tmat4x2<U, P> const & m)
+ {
+ this->value[0] -= m[0];
+ this->value[1] -= m[1];
+ this->value[2] -= m[2];
+ this->value[3] -= m[3];
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> & tmat4x2<T, P>::operator*=(U s)
+ {
+ this->value[0] *= s;
+ this->value[1] *= s;
+ this->value[2] *= s;
+ this->value[3] *= s;
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> & tmat4x2<T, P>::operator/=(U s)
+ {
+ this->value[0] /= s;
+ this->value[1] /= s;
+ this->value[2] /= s;
+ this->value[3] /= s;
+ return *this;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> & tmat4x2<T, P>::operator++()
+ {
+ ++this->value[0];
+ ++this->value[1];
+ ++this->value[2];
+ ++this->value[3];
+ return *this;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> & tmat4x2<T, P>::operator--()
+ {
+ --this->value[0];
+ --this->value[1];
+ --this->value[2];
+ --this->value[3];
+ return *this;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> tmat4x2<T, P>::operator++(int)
+ {
+ tmat4x2<T, P> Result(*this);
+ ++*this;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> tmat4x2<T, P>::operator--(int)
+ {
+ tmat4x2<T, P> Result(*this);
+ --*this;
+ return Result;
+ }
+
+ //////////////////////////////////////////////////////////////
+ // Binary operators
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> operator+(tmat4x2<T, P> const & m, T const & s)
+ {
+ return tmat4x2<T, P>(
+ m[0] + s,
+ m[1] + s,
+ m[2] + s,
+ m[3] + s);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> operator+(tmat4x2<T, P> const & m1, tmat4x2<T, P> const & m2)
+ {
+ return tmat4x2<T, P>(
+ m1[0] + m2[0],
+ m1[1] + m2[1],
+ m1[2] + m2[2],
+ m1[3] + m2[3]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> operator-(tmat4x2<T, P> const & m, T const & s)
+ {
+ return tmat4x2<T, P>(
+ m[0] - s,
+ m[1] - s,
+ m[2] - s,
+ m[3] - s);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> operator-(tmat4x2<T, P> const & m1, tmat4x2<T, P> const & m2)
+ {
+ return tmat4x2<T, P>(
+ m1[0] - m2[0],
+ m1[1] - m2[1],
+ m1[2] - m2[2],
+ m1[3] - m2[3]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> operator*(tmat4x2<T, P> const & m, T const & s)
+ {
+ return tmat4x2<T, P>(
+ m[0] * s,
+ m[1] * s,
+ m[2] * s,
+ m[3] * s);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> operator*(T const & s, tmat4x2<T, P> const & m)
+ {
+ return tmat4x2<T, P>(
+ m[0] * s,
+ m[1] * s,
+ m[2] * s,
+ m[3] * s);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat4x2<T, P>::col_type operator*(tmat4x2<T, P> const & m, typename tmat4x2<T, P>::row_type const & v)
+ {
+ return typename tmat4x2<T, P>::col_type(
+ m[0][0] * v.x + m[1][0] * v.y + m[2][0] * v.z + m[3][0] * v.w,
+ m[0][1] * v.x + m[1][1] * v.y + m[2][1] * v.z + m[3][1] * v.w);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat4x2<T, P>::row_type operator*(typename tmat4x2<T, P>::col_type const & v, tmat4x2<T, P> const & m)
+ {
+ return typename tmat4x2<T, P>::row_type(
+ v.x * m[0][0] + v.y * m[0][1],
+ v.x * m[1][0] + v.y * m[1][1],
+ v.x * m[2][0] + v.y * m[2][1],
+ v.x * m[3][0] + v.y * m[3][1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> operator*(tmat4x2<T, P> const & m1, tmat2x4<T, P> const & m2)
+ {
+ T const SrcA00 = m1[0][0];
+ T const SrcA01 = m1[0][1];
+ T const SrcA10 = m1[1][0];
+ T const SrcA11 = m1[1][1];
+ T const SrcA20 = m1[2][0];
+ T const SrcA21 = m1[2][1];
+ T const SrcA30 = m1[3][0];
+ T const SrcA31 = m1[3][1];
+
+ T const SrcB00 = m2[0][0];
+ T const SrcB01 = m2[0][1];
+ T const SrcB02 = m2[0][2];
+ T const SrcB03 = m2[0][3];
+ T const SrcB10 = m2[1][0];
+ T const SrcB11 = m2[1][1];
+ T const SrcB12 = m2[1][2];
+ T const SrcB13 = m2[1][3];
+
+ tmat2x2<T, P> Result(uninitialize);
+ Result[0][0] = SrcA00 * SrcB00 + SrcA10 * SrcB01 + SrcA20 * SrcB02 + SrcA30 * SrcB03;
+ Result[0][1] = SrcA01 * SrcB00 + SrcA11 * SrcB01 + SrcA21 * SrcB02 + SrcA31 * SrcB03;
+ Result[1][0] = SrcA00 * SrcB10 + SrcA10 * SrcB11 + SrcA20 * SrcB12 + SrcA30 * SrcB13;
+ Result[1][1] = SrcA01 * SrcB10 + SrcA11 * SrcB11 + SrcA21 * SrcB12 + SrcA31 * SrcB13;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x2<T, P> operator*(tmat4x2<T, P> const & m1, tmat3x4<T, P> const & m2)
+ {
+ return tmat3x2<T, P>(
+ m1[0][0] * m2[0][0] + m1[1][0] * m2[0][1] + m1[2][0] * m2[0][2] + m1[3][0] * m2[0][3],
+ m1[0][1] * m2[0][0] + m1[1][1] * m2[0][1] + m1[2][1] * m2[0][2] + m1[3][1] * m2[0][3],
+ m1[0][0] * m2[1][0] + m1[1][0] * m2[1][1] + m1[2][0] * m2[1][2] + m1[3][0] * m2[1][3],
+ m1[0][1] * m2[1][0] + m1[1][1] * m2[1][1] + m1[2][1] * m2[1][2] + m1[3][1] * m2[1][3],
+ m1[0][0] * m2[2][0] + m1[1][0] * m2[2][1] + m1[2][0] * m2[2][2] + m1[3][0] * m2[2][3],
+ m1[0][1] * m2[2][0] + m1[1][1] * m2[2][1] + m1[2][1] * m2[2][2] + m1[3][1] * m2[2][3]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> operator*(tmat4x2<T, P> const & m1, tmat4x4<T, P> const & m2)
+ {
+ return tmat4x2<T, P>(
+ m1[0][0] * m2[0][0] + m1[1][0] * m2[0][1] + m1[2][0] * m2[0][2] + m1[3][0] * m2[0][3],
+ m1[0][1] * m2[0][0] + m1[1][1] * m2[0][1] + m1[2][1] * m2[0][2] + m1[3][1] * m2[0][3],
+ m1[0][0] * m2[1][0] + m1[1][0] * m2[1][1] + m1[2][0] * m2[1][2] + m1[3][0] * m2[1][3],
+ m1[0][1] * m2[1][0] + m1[1][1] * m2[1][1] + m1[2][1] * m2[1][2] + m1[3][1] * m2[1][3],
+ m1[0][0] * m2[2][0] + m1[1][0] * m2[2][1] + m1[2][0] * m2[2][2] + m1[3][0] * m2[2][3],
+ m1[0][1] * m2[2][0] + m1[1][1] * m2[2][1] + m1[2][1] * m2[2][2] + m1[3][1] * m2[2][3],
+ m1[0][0] * m2[3][0] + m1[1][0] * m2[3][1] + m1[2][0] * m2[3][2] + m1[3][0] * m2[3][3],
+ m1[0][1] * m2[3][0] + m1[1][1] * m2[3][1] + m1[2][1] * m2[3][2] + m1[3][1] * m2[3][3]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> operator/(tmat4x2<T, P> const & m, T const & s)
+ {
+ return tmat4x2<T, P>(
+ m[0] / s,
+ m[1] / s,
+ m[2] / s,
+ m[3] / s);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> operator/(T const & s, tmat4x2<T, P> const & m)
+ {
+ return tmat4x2<T, P>(
+ s / m[0],
+ s / m[1],
+ s / m[2],
+ s / m[3]);
+ }
+
+ // Unary constant operators
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> const operator-(tmat4x2<T, P> const & m)
+ {
+ return tmat4x2<T, P>(
+ -m[0],
+ -m[1],
+ -m[2],
+ -m[3]);
+ }
+
+ //////////////////////////////////////
+ // Boolean operators
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER bool operator==(tmat4x2<T, P> const & m1, tmat4x2<T, P> const & m2)
+ {
+ return (m1[0] == m2[0]) && (m1[1] == m2[1]) && (m1[2] == m2[2]) && (m1[3] == m2[3]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER bool operator!=(tmat4x2<T, P> const & m1, tmat4x2<T, P> const & m2)
+ {
+ return (m1[0] != m2[0]) || (m1[1] != m2[1]) || (m1[2] != m2[2]) || (m1[3] != m2[3]);
+ }
+} //namespace glm