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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_mat2x2.inl
+/// @date 2005-01-16 / 2011-06-15
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+namespace glm{
+namespace detail
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> compute_inverse(tmat2x2<T, P> const & m)
+ {
+ T OneOverDeterminant = static_cast<T>(1) / (
+ + m[0][0] * m[1][1]
+ - m[1][0] * m[0][1]);
+
+ tmat2x2<T, P> Inverse(
+ + m[1][1] * OneOverDeterminant,
+ - m[0][1] * OneOverDeterminant,
+ - m[1][0] * OneOverDeterminant,
+ + m[0][0] * OneOverDeterminant);
+
+ return Inverse;
+ }
+}//namespace detail
+
+ //////////////////////////////////////////////////////////////
+ // Constructors
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2()
+ {
+# ifndef GLM_FORCE_NO_CTOR_INIT
+ this->value[0] = col_type(1, 0);
+ this->value[1] = col_type(0, 1);
+# endif
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(tmat2x2<T, P> const & m)
+ {
+ this->value[0] = m.value[0];
+ this->value[1] = m.value[1];
+ }
+
+ template <typename T, precision P>
+ template <precision Q>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(tmat2x2<T, Q> const & m)
+ {
+ this->value[0] = m.value[0];
+ this->value[1] = m.value[1];
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(ctor)
+ {}
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(T const & s)
+ {
+ this->value[0] = col_type(s, 0);
+ this->value[1] = col_type(0, s);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2
+ (
+ T const & x0, T const & y0,
+ T const & x1, T const & y1
+ )
+ {
+ this->value[0] = col_type(x0, y0);
+ this->value[1] = col_type(x1, y1);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(col_type const & v0, col_type const & v1)
+ {
+ this->value[0] = v0;
+ this->value[1] = v1;
+ }
+
+ //////////////////////////////////////
+ // Conversion constructors
+ template <typename T, precision P>
+ template <typename X1, typename Y1, typename X2, typename Y2>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2
+ (
+ X1 const & x1, Y1 const & y1,
+ X2 const & x2, Y2 const & y2
+ )
+ {
+ this->value[0] = col_type(static_cast<T>(x1), value_type(y1));
+ this->value[1] = col_type(static_cast<T>(x2), value_type(y2));
+ }
+
+ template <typename T, precision P>
+ template <typename V1, typename V2>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(tvec2<V1, P> const & v1, tvec2<V2, P> const & v2)
+ {
+ this->value[0] = col_type(v1);
+ this->value[1] = col_type(v2);
+ }
+
+ //////////////////////////////////////////////////////////////
+ // mat2x2 matrix conversions
+
+ template <typename T, precision P>
+ template <typename U, precision Q>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(tmat2x2<U, Q> const & m)
+ {
+ this->value[0] = col_type(m[0]);
+ this->value[1] = col_type(m[1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(tmat3x3<T, P> const & m)
+ {
+ this->value[0] = col_type(m[0]);
+ this->value[1] = col_type(m[1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(tmat4x4<T, P> const & m)
+ {
+ this->value[0] = col_type(m[0]);
+ this->value[1] = col_type(m[1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(tmat2x3<T, P> const & m)
+ {
+ this->value[0] = col_type(m[0]);
+ this->value[1] = col_type(m[1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(tmat3x2<T, P> const & m)
+ {
+ this->value[0] = m[0];
+ this->value[1] = m[1];
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(tmat2x4<T, P> const & m)
+ {
+ this->value[0] = col_type(m[0]);
+ this->value[1] = col_type(m[1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(tmat4x2<T, P> const & m)
+ {
+ this->value[0] = m[0];
+ this->value[1] = m[1];
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(tmat3x4<T, P> const & m)
+ {
+ this->value[0] = col_type(m[0]);
+ this->value[1] = col_type(m[1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2(tmat4x3<T, P> const & m)
+ {
+ this->value[0] = col_type(m[0]);
+ this->value[1] = col_type(m[1]);
+ }
+
+ //////////////////////////////////////
+ // Accesses
+
+# ifdef GLM_FORCE_SIZE_FUNC
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR typename tmat2x2<T, P>::size_type tmat2x2<T, P>::size() const
+ {
+ return 2;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat2x2<T, P>::col_type & tmat2x2<T, P>::operator[](typename tmat2x2<T, P>::size_type i)
+ {
+ assert(i < this->size());
+ return this->value[i];
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat2x2<T, P>::col_type const & tmat2x2<T, P>::operator[](typename tmat2x2<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 tmat2x2<T, P>::length_type tmat2x2<T, P>::length() const
+ {
+ return 2;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat2x2<T, P>::col_type & tmat2x2<T, P>::operator[](typename tmat2x2<T, P>::length_type i)
+ {
+ assert(i < this->length());
+ return this->value[i];
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat2x2<T, P>::col_type const & tmat2x2<T, P>::operator[](typename tmat2x2<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 tmat2x2<T, P>& tmat2x2<T, P>::operator=(tmat2x2<T, P> const & m)
+ {
+ this->value[0] = m[0];
+ this->value[1] = m[1];
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>& tmat2x2<T, P>::operator=(tmat2x2<U, P> const & m)
+ {
+ this->value[0] = m[0];
+ this->value[1] = m[1];
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>& tmat2x2<T, P>::operator+=(U s)
+ {
+ this->value[0] += s;
+ this->value[1] += s;
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>& tmat2x2<T, P>::operator+=(tmat2x2<U, P> const & m)
+ {
+ this->value[0] += m[0];
+ this->value[1] += m[1];
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>& tmat2x2<T, P>::operator-=(U s)
+ {
+ this->value[0] -= s;
+ this->value[1] -= s;
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>& tmat2x2<T, P>::operator-=(tmat2x2<U, P> const & m)
+ {
+ this->value[0] -= m[0];
+ this->value[1] -= m[1];
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>& tmat2x2<T, P>::operator*=(U s)
+ {
+ this->value[0] *= s;
+ this->value[1] *= s;
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>& tmat2x2<T, P>::operator*=(tmat2x2<U, P> const & m)
+ {
+ return (*this = *this * m);
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>& tmat2x2<T, P>::operator/=(U s)
+ {
+ this->value[0] /= s;
+ this->value[1] /= s;
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>& tmat2x2<T, P>::operator/=(tmat2x2<U, P> const & m)
+ {
+ return (*this = *this * detail::compute_inverse<T, P>(m));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>& tmat2x2<T, P>::operator++()
+ {
+ ++this->value[0];
+ ++this->value[1];
+ return *this;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P>& tmat2x2<T, P>::operator--()
+ {
+ --this->value[0];
+ --this->value[1];
+ return *this;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> tmat2x2<T, P>::operator++(int)
+ {
+ tmat2x2<T, P> Result(*this);
+ ++*this;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> tmat2x2<T, P>::operator--(int)
+ {
+ tmat2x2<T, P> Result(*this);
+ --*this;
+ return Result;
+ }
+
+ //////////////////////////////////////////////////////////////
+ // Binary operators
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> operator+(tmat2x2<T, P> const & m, T const & s)
+ {
+ return tmat2x2<T, P>(
+ m[0] + s,
+ m[1] + s);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> operator+(T const & s, tmat2x2<T, P> const & m)
+ {
+ return tmat2x2<T, P>(
+ m[0] + s,
+ m[1] + s);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> operator+(tmat2x2<T, P> const & m1, tmat2x2<T, P> const & m2)
+ {
+ return tmat2x2<T, P>(
+ m1[0] + m2[0],
+ m1[1] + m2[1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> operator-(tmat2x2<T, P> const & m, T const & s)
+ {
+ return tmat2x2<T, P>(
+ m[0] - s,
+ m[1] - s);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> operator-(T const & s, tmat2x2<T, P> const & m)
+ {
+ return tmat2x2<T, P>(
+ s - m[0],
+ s - m[1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> operator-(tmat2x2<T, P> const & m1, tmat2x2<T, P> const & m2)
+ {
+ return tmat2x2<T, P>(
+ m1[0] - m2[0],
+ m1[1] - m2[1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> operator*(tmat2x2<T, P> const & m, T const & s)
+ {
+ return tmat2x2<T, P>(
+ m[0] * s,
+ m[1] * s);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> operator*(T const & s, tmat2x2<T, P> const & m)
+ {
+ return tmat2x2<T, P>(
+ m[0] * s,
+ m[1] * s);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat2x2<T, P>::col_type operator*
+ (
+ tmat2x2<T, P> const & m,
+ typename tmat2x2<T, P>::row_type const & v
+ )
+ {
+ return tvec2<T, P>(
+ m[0][0] * v.x + m[1][0] * v.y,
+ m[0][1] * v.x + m[1][1] * v.y);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat2x2<T, P>::row_type operator*
+ (
+ typename tmat2x2<T, P>::col_type const & v,
+ tmat2x2<T, P> const & m
+ )
+ {
+ return tvec2<T, P>(
+ v.x * m[0][0] + v.y * m[0][1],
+ v.x * m[1][0] + v.y * m[1][1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> operator*(tmat2x2<T, P> const & m1, tmat2x2<T, P> const & m2)
+ {
+ return tmat2x2<T, P>(
+ m1[0][0] * m2[0][0] + m1[1][0] * m2[0][1],
+ m1[0][1] * m2[0][0] + m1[1][1] * m2[0][1],
+ m1[0][0] * m2[1][0] + m1[1][0] * m2[1][1],
+ m1[0][1] * m2[1][0] + m1[1][1] * m2[1][1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x2<T, P> operator*(tmat2x2<T, P> const & m1, tmat3x2<T, P> const & m2)
+ {
+ return tmat3x2<T, P>(
+ m1[0][0] * m2[0][0] + m1[1][0] * m2[0][1],
+ m1[0][1] * m2[0][0] + m1[1][1] * m2[0][1],
+ m1[0][0] * m2[1][0] + m1[1][0] * m2[1][1],
+ m1[0][1] * m2[1][0] + m1[1][1] * m2[1][1],
+ m1[0][0] * m2[2][0] + m1[1][0] * m2[2][1],
+ m1[0][1] * m2[2][0] + m1[1][1] * m2[2][1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> operator*(tmat2x2<T, P> const & m1, tmat4x2<T, P> const & m2)
+ {
+ return tmat4x2<T, P>(
+ m1[0][0] * m2[0][0] + m1[1][0] * m2[0][1],
+ m1[0][1] * m2[0][0] + m1[1][1] * m2[0][1],
+ m1[0][0] * m2[1][0] + m1[1][0] * m2[1][1],
+ m1[0][1] * m2[1][0] + m1[1][1] * m2[1][1],
+ m1[0][0] * m2[2][0] + m1[1][0] * m2[2][1],
+ m1[0][1] * m2[2][0] + m1[1][1] * m2[2][1],
+ m1[0][0] * m2[3][0] + m1[1][0] * m2[3][1],
+ m1[0][1] * m2[3][0] + m1[1][1] * m2[3][1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> operator/(tmat2x2<T, P> const & m, T const & s)
+ {
+ return tmat2x2<T, P>(
+ m[0] / s,
+ m[1] / s);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> operator/(T const & s, tmat2x2<T, P> const & m)
+ {
+ return tmat2x2<T, P>(
+ s / m[0],
+ s / m[1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat2x2<T, P>::col_type operator/(tmat2x2<T, P> const & m, typename tmat2x2<T, P>::row_type const & v)
+ {
+ return detail::compute_inverse<T, P>(m) * v;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tmat2x2<T, P>::row_type operator/(typename tmat2x2<T, P>::col_type const & v, tmat2x2<T, P> const & m)
+ {
+ return v * detail::compute_inverse<T, P>(m);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> operator/(tmat2x2<T, P> const & m1, tmat2x2<T, P> const & m2)
+ {
+ tmat2x2<T, P> m1_copy(m1);
+ return m1_copy /= m2;
+ }
+
+ // Unary constant operators
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> const operator-(tmat2x2<T, P> const & m)
+ {
+ return tmat2x2<T, P>(
+ -m[0],
+ -m[1]);
+ }
+
+ //////////////////////////////////////
+ // Boolean operators
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER bool operator==(tmat2x2<T, P> const & m1, tmat2x2<T, P> const & m2)
+ {
+ return (m1[0] == m2[0]) && (m1[1] == m2[1]);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER bool operator!=(tmat2x2<T, P> const & m1, tmat2x2<T, P> const & m2)
+ {
+ return (m1[0] != m2[0]) || (m1[1] != m2[1]);
+ }
+} //namespace glm
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