| /////////////////////////////////////////////////////////////////////////////////// |
| /// OpenGL Mathematics (glm.g-truc.net) |
| /// |
| /// Copyright (c) 2005 - 2014 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. |
| /// |
| /// 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/core/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 GLM_CONSTEXPR length_t tmat2x2<T, P>::length() const |
| { |
| return 2; |
| } |
| |
| ////////////////////////////////////// |
| // Accesses |
| |
| template <typename T, precision P> |
| GLM_FUNC_QUALIFIER typename tmat2x2<T, P>::col_type & |
| tmat2x2<T, P>::operator[] |
| ( |
| length_t 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[] |
| ( |
| length_t i |
| ) const |
| { |
| assert(i < this->length()); |
| return this->value[i]; |
| } |
| |
| ////////////////////////////////////////////////////////////// |
| // Constructors |
| |
| template <typename T, precision P> |
| GLM_FUNC_QUALIFIER tmat2x2<T, P>::tmat2x2() |
| { |
| this->value[0] = col_type(1, 0); |
| this->value[1] = col_type(0, 1); |
| } |
| |
| 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 |
| ) |
| { |
| value_type const Zero(0); |
| this->value[0] = col_type(s, Zero); |
| this->value[1] = col_type(Zero, 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]); |
| } |
| |
| ////////////////////////////////////////////////////////////// |
| // mat2x2 operators |
| |
| // This function shouldn't required but it seems that VC7.1 have an optimisation bug if this operator wasn't declared |
| 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<detail::tmat2x2, T, P>::call(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; |
| } |
| |
| template <typename T, precision P> |
| struct compute_inverse<detail::tmat2x2, T, P> |
| { |
| GLM_FUNC_QUALIFIER static detail::tmat2x2<T, P> call(detail::tmat2x2<T, P> const & m) |
| { |
| T OneOverDeterminant = static_cast<T>(1) / ( |
| + m[0][0] * m[1][1] |
| - m[1][0] * m[0][1]); |
| |
| detail::tmat2x2<T, P> Inverse( |
| + m[1][1] * OneOverDeterminant, |
| - m[0][1] * OneOverDeterminant, |
| - m[1][0] * OneOverDeterminant, |
| + m[0][0] * OneOverDeterminant); |
| |
| return Inverse; |
| } |
| }; |
| |
| ////////////////////////////////////////////////////////////// |
| // 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 detail::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 detail::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 & v |
| ) |
| { |
| return detail::compute_inverse<detail::tmat2x2, T, P>::call(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<detail::tmat2x2, T, P>::call(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 detail |
| } //namespace glm |