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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