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756 lines
14 KiB
756 lines
14 KiB
/////////////////////////////////////////////////////////////////////////////////// |
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/// OpenGL Mathematics (glm.g-truc.net) |
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/// |
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/// Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net) |
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/// Permission is hereby granted, free of charge, to any person obtaining a copy |
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/// of this software and associated documentation files (the "Software"), to deal |
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/// in the Software without restriction, including without limitation the rights |
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/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell |
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/// copies of the Software, and to permit persons to whom the Software is |
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/// furnished to do so, subject to the following conditions: |
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/// |
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/// The above copyright notice and this permission notice shall be included in |
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/// all copies or substantial portions of the Software. |
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/// |
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/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
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/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
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/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE |
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/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
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/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, |
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/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN |
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/// THE SOFTWARE. |
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/// |
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/// @ref core |
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/// @file glm/core/func_trigonometric.inl |
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/// @date 2008-08-03 / 2011-06-15 |
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/// @author Christophe Riccio |
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/////////////////////////////////////////////////////////////////////////////////// |
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namespace glm |
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{ |
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// radians |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType radians |
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( |
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genType const & degrees |
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) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'radians' only accept floating-point input"); |
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|
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const genType pi = genType(3.1415926535897932384626433832795); |
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return degrees * (pi / genType(180)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> radians |
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( |
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detail::tvec2<T> const & degrees |
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) |
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{ |
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return detail::tvec2<T>( |
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radians(degrees.x), |
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radians(degrees.y)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec3<T> radians |
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( |
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detail::tvec3<T> const & degrees |
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) |
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{ |
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return detail::tvec3<T>( |
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radians(degrees.x), |
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radians(degrees.y), |
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radians(degrees.z)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> radians |
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( |
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detail::tvec4<T> const & degrees |
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) |
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{ |
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return detail::tvec4<T>( |
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radians(degrees.x), |
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radians(degrees.y), |
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radians(degrees.z), |
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radians(degrees.w)); |
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} |
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|
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// degrees |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType degrees |
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( |
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genType const & radians |
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) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'degrees' only accept floating-point input"); |
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const genType pi = genType(3.1415926535897932384626433832795); |
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return radians * (genType(180) / pi); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> degrees |
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( |
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detail::tvec2<T> const & radians |
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) |
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{ |
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return detail::tvec2<T>( |
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degrees(radians.x), |
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degrees(radians.y)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec3<T> degrees |
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( |
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detail::tvec3<T> const & radians |
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) |
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{ |
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return detail::tvec3<T>( |
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degrees(radians.x), |
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degrees(radians.y), |
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degrees(radians.z)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> degrees |
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( |
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detail::tvec4<T> const & radians |
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) |
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{ |
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return detail::tvec4<T>( |
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degrees(radians.x), |
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degrees(radians.y), |
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degrees(radians.z), |
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degrees(radians.w)); |
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} |
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|
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// sin |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType sin |
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( |
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genType const & angle |
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) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sin' only accept floating-point input"); |
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return ::std::sin(angle); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> sin |
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( |
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detail::tvec2<T> const & angle |
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) |
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{ |
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return detail::tvec2<T>( |
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sin(angle.x), |
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sin(angle.y)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec3<T> sin |
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( |
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detail::tvec3<T> const & angle |
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) |
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{ |
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return detail::tvec3<T>( |
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sin(angle.x), |
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sin(angle.y), |
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sin(angle.z)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> sin |
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( |
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detail::tvec4<T> const & angle |
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) |
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{ |
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return detail::tvec4<T>( |
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sin(angle.x), |
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sin(angle.y), |
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sin(angle.z), |
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sin(angle.w)); |
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} |
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// cos |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType cos(genType const & angle) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'cos' only accept floating-point input"); |
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return ::std::cos(angle); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> cos |
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( |
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detail::tvec2<T> const & angle |
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) |
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{ |
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return detail::tvec2<T>( |
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cos(angle.x), |
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cos(angle.y)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec3<T> cos |
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( |
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detail::tvec3<T> const & angle |
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) |
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{ |
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return detail::tvec3<T>( |
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cos(angle.x), |
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cos(angle.y), |
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cos(angle.z)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> cos |
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( |
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detail::tvec4<T> const & angle |
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) |
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{ |
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return detail::tvec4<T>( |
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cos(angle.x), |
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cos(angle.y), |
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cos(angle.z), |
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cos(angle.w)); |
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} |
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|
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// tan |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType tan |
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( |
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genType const & angle |
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) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'tan' only accept floating-point input"); |
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return ::std::tan(angle); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> tan |
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( |
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detail::tvec2<T> const & angle |
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) |
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{ |
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return detail::tvec2<T>( |
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tan(angle.x), |
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tan(angle.y)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec3<T> tan |
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( |
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detail::tvec3<T> const & angle |
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) |
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{ |
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return detail::tvec3<T>( |
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tan(angle.x), |
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tan(angle.y), |
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tan(angle.z)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> tan |
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( |
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detail::tvec4<T> const & angle |
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) |
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{ |
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return detail::tvec4<T>( |
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tan(angle.x), |
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tan(angle.y), |
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tan(angle.z), |
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tan(angle.w)); |
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} |
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// asin |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType asin |
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( |
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genType const & x |
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) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asin' only accept floating-point input"); |
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return ::std::asin(x); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> asin |
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( |
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detail::tvec2<T> const & x |
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) |
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{ |
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return detail::tvec2<T>( |
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asin(x.x), |
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asin(x.y)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec3<T> asin |
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( |
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detail::tvec3<T> const & x |
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) |
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{ |
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return detail::tvec3<T>( |
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asin(x.x), |
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asin(x.y), |
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asin(x.z)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> asin |
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( |
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detail::tvec4<T> const & x |
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) |
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{ |
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return detail::tvec4<T>( |
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asin(x.x), |
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asin(x.y), |
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asin(x.z), |
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asin(x.w)); |
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} |
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// acos |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType acos |
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( |
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genType const & x |
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) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acos' only accept floating-point input"); |
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return ::std::acos(x); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> acos |
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( |
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detail::tvec2<T> const & x |
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) |
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{ |
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return detail::tvec2<T>( |
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acos(x.x), |
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acos(x.y)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec3<T> acos |
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( |
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detail::tvec3<T> const & x |
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) |
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{ |
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return detail::tvec3<T>( |
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acos(x.x), |
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acos(x.y), |
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acos(x.z)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> acos |
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( |
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detail::tvec4<T> const & x |
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) |
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{ |
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return detail::tvec4<T>( |
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acos(x.x), |
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acos(x.y), |
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acos(x.z), |
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acos(x.w)); |
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} |
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// atan |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType atan |
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( |
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genType const & y, |
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genType const & x |
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) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'atan' only accept floating-point input"); |
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return ::std::atan2(y, x); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> atan |
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( |
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detail::tvec2<T> const & y, |
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detail::tvec2<T> const & x |
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) |
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{ |
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return detail::tvec2<T>( |
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atan(y.x, x.x), |
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atan(y.y, x.y)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec3<T> atan |
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( |
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detail::tvec3<T> const & y, |
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detail::tvec3<T> const & x |
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) |
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{ |
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return detail::tvec3<T>( |
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atan(y.x, x.x), |
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atan(y.y, x.y), |
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atan(y.z, x.z)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> atan |
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( |
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detail::tvec4<T> const & y, |
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detail::tvec4<T> const & x |
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) |
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{ |
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return detail::tvec4<T>( |
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atan(y.x, x.x), |
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atan(y.y, x.y), |
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atan(y.z, x.z), |
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atan(y.w, x.w)); |
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} |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType atan |
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( |
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genType const & x |
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) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'atan' only accept floating-point input"); |
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return ::std::atan(x); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> atan |
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( |
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detail::tvec2<T> const & x |
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) |
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{ |
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return detail::tvec2<T>( |
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atan(x.x), |
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atan(x.y)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec3<T> atan |
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( |
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detail::tvec3<T> const & x |
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) |
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{ |
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return detail::tvec3<T>( |
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atan(x.x), |
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atan(x.y), |
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atan(x.z)); |
|
} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> atan |
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( |
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detail::tvec4<T> const & x |
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) |
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{ |
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return detail::tvec4<T>( |
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atan(x.x), |
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atan(x.y), |
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atan(x.z), |
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atan(x.w)); |
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} |
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|
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// sinh |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType sinh |
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( |
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genType const & angle |
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) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sinh' only accept floating-point input"); |
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return std::sinh(angle); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> sinh |
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( |
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detail::tvec2<T> const & angle |
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) |
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{ |
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return detail::tvec2<T>( |
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sinh(angle.x), |
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sinh(angle.y)); |
|
} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec3<T> sinh |
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( |
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detail::tvec3<T> const & angle |
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) |
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{ |
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return detail::tvec3<T>( |
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sinh(angle.x), |
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sinh(angle.y), |
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sinh(angle.z)); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> sinh |
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( |
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detail::tvec4<T> const & angle |
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) |
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{ |
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return detail::tvec4<T>( |
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sinh(angle.x), |
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sinh(angle.y), |
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sinh(angle.z), |
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sinh(angle.w)); |
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} |
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// cosh |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType cosh |
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( |
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genType const & angle |
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) |
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{ |
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'cosh' only accept floating-point input"); |
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|
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return std::cosh(angle); |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> cosh |
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( |
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detail::tvec2<T> const & angle |
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) |
|
{ |
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return detail::tvec2<T>( |
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cosh(angle.x), |
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cosh(angle.y)); |
|
} |
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|
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec3<T> cosh |
|
( |
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detail::tvec3<T> const & angle |
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) |
|
{ |
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return detail::tvec3<T>( |
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cosh(angle.x), |
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cosh(angle.y), |
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cosh(angle.z)); |
|
} |
|
|
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> cosh |
|
( |
|
detail::tvec4<T> const & angle |
|
) |
|
{ |
|
return detail::tvec4<T>( |
|
cosh(angle.x), |
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cosh(angle.y), |
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cosh(angle.z), |
|
cosh(angle.w)); |
|
} |
|
|
|
// tanh |
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template <typename genType> |
|
GLM_FUNC_QUALIFIER genType tanh |
|
( |
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genType const & angle |
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) |
|
{ |
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'tanh' only accept floating-point input"); |
|
|
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return std::tanh(angle); |
|
} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec2<T> tanh |
|
( |
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detail::tvec2<T> const & angle |
|
) |
|
{ |
|
return detail::tvec2<T>( |
|
tanh(angle.x), |
|
tanh(angle.y)); |
|
} |
|
|
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template <typename T> |
|
GLM_FUNC_QUALIFIER detail::tvec3<T> tanh |
|
( |
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detail::tvec3<T> const & angle |
|
) |
|
{ |
|
return detail::tvec3<T>( |
|
tanh(angle.x), |
|
tanh(angle.y), |
|
tanh(angle.z)); |
|
} |
|
|
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template <typename T> |
|
GLM_FUNC_QUALIFIER detail::tvec4<T> tanh |
|
( |
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detail::tvec4<T> const & angle |
|
) |
|
{ |
|
return detail::tvec4<T>( |
|
tanh(angle.x), |
|
tanh(angle.y), |
|
tanh(angle.z), |
|
tanh(angle.w)); |
|
} |
|
|
|
// asinh |
|
template <typename genType> |
|
GLM_FUNC_QUALIFIER genType asinh |
|
( |
|
genType const & x |
|
) |
|
{ |
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asinh' only accept floating-point input"); |
|
|
|
return (x < genType(0) ? genType(-1) : (x > genType(0) ? genType(1) : genType(0))) * log(abs(x) + sqrt(genType(1) + x * x)); |
|
} |
|
|
|
template <typename T> |
|
GLM_FUNC_QUALIFIER detail::tvec2<T> asinh |
|
( |
|
detail::tvec2<T> const & x |
|
) |
|
{ |
|
return detail::tvec2<T>( |
|
asinh(x.x), |
|
asinh(x.y)); |
|
} |
|
|
|
template <typename T> |
|
GLM_FUNC_QUALIFIER detail::tvec3<T> asinh |
|
( |
|
detail::tvec3<T> const & x |
|
) |
|
{ |
|
return detail::tvec3<T>( |
|
asinh(x.x), |
|
asinh(x.y), |
|
asinh(x.z)); |
|
} |
|
|
|
template <typename T> |
|
GLM_FUNC_QUALIFIER detail::tvec4<T> asinh |
|
( |
|
detail::tvec4<T> const & x |
|
) |
|
{ |
|
return detail::tvec4<T>( |
|
asinh(x.x), |
|
asinh(x.y), |
|
asinh(x.z), |
|
asinh(x.w)); |
|
} |
|
|
|
// acosh |
|
template <typename genType> |
|
GLM_FUNC_QUALIFIER genType acosh |
|
( |
|
genType const & x |
|
) |
|
{ |
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acosh' only accept floating-point input"); |
|
|
|
if(x < genType(1)) |
|
return genType(0); |
|
return log(x + sqrt(x * x - genType(1))); |
|
} |
|
|
|
template <typename T> |
|
GLM_FUNC_QUALIFIER detail::tvec2<T> acosh |
|
( |
|
detail::tvec2<T> const & x |
|
) |
|
{ |
|
return detail::tvec2<T>( |
|
acosh(x.x), |
|
acosh(x.y)); |
|
} |
|
|
|
template <typename T> |
|
GLM_FUNC_QUALIFIER detail::tvec3<T> acosh |
|
( |
|
detail::tvec3<T> const & x |
|
) |
|
{ |
|
return detail::tvec3<T>( |
|
acosh(x.x), |
|
acosh(x.y), |
|
acosh(x.z)); |
|
} |
|
|
|
template <typename T> |
|
GLM_FUNC_QUALIFIER detail::tvec4<T> acosh |
|
( |
|
detail::tvec4<T> const & x |
|
) |
|
{ |
|
return detail::tvec4<T>( |
|
acosh(x.x), |
|
acosh(x.y), |
|
acosh(x.z), |
|
acosh(x.w)); |
|
} |
|
|
|
// atanh |
|
template <typename genType> |
|
GLM_FUNC_QUALIFIER genType atanh |
|
( |
|
genType const & x |
|
) |
|
{ |
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'atanh' only accept floating-point input"); |
|
|
|
if(abs(x) >= genType(1)) |
|
return 0; |
|
return genType(0.5) * log((genType(1) + x) / (genType(1) - x)); |
|
} |
|
|
|
template <typename T> |
|
GLM_FUNC_QUALIFIER detail::tvec2<T> atanh |
|
( |
|
detail::tvec2<T> const & x |
|
) |
|
{ |
|
return detail::tvec2<T>( |
|
atanh(x.x), |
|
atanh(x.y)); |
|
} |
|
|
|
template <typename T> |
|
GLM_FUNC_QUALIFIER detail::tvec3<T> atanh |
|
( |
|
detail::tvec3<T> const & x |
|
) |
|
{ |
|
return detail::tvec3<T>( |
|
atanh(x.x), |
|
atanh(x.y), |
|
atanh(x.z)); |
|
} |
|
|
|
template <typename T> |
|
GLM_FUNC_QUALIFIER detail::tvec4<T> atanh |
|
( |
|
detail::tvec4<T> const & x |
|
) |
|
{ |
|
return detail::tvec4<T>( |
|
atanh(x.x), |
|
atanh(x.y), |
|
atanh(x.z), |
|
atanh(x.w)); |
|
} |
|
}//namespace glm
|
|
|