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93 lines
3.4 KiB
C++
93 lines
3.4 KiB
C++
///////////////////////////////////////////////////////////////////////////////////
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/// OpenGL Mathematics (glm.g-truc.net)
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///
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/// Copyright (c) 2005 - 2015 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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/// Restrictions:
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/// By making use of the Software for military purposes, you choose to make
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/// a Bunny unhappy.
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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 gtx_spline
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/// @file glm/gtx/spline.inl
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/// @date 2007-01-25 / 2011-06-07
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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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template <typename genType>
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GLM_FUNC_QUALIFIER genType catmullRom
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(
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genType const & v1,
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genType const & v2,
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genType const & v3,
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genType const & v4,
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typename genType::value_type const & s
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)
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{
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typename genType::value_type s1 = s;
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typename genType::value_type s2 = pow2(s);
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typename genType::value_type s3 = pow3(s);
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typename genType::value_type f1 = -s3 + typename genType::value_type(2) * s2 - s;
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typename genType::value_type f2 = typename genType::value_type(3) * s3 - typename genType::value_type(5) * s2 + typename genType::value_type(2);
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typename genType::value_type f3 = typename genType::value_type(-3) * s3 + typename genType::value_type(4) * s2 + s;
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typename genType::value_type f4 = s3 - s2;
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return (f1 * v1 + f2 * v2 + f3 * v3 + f4 * v4) / typename genType::value_type(2);
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType hermite
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(
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genType const & v1,
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genType const & t1,
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genType const & v2,
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genType const & t2,
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typename genType::value_type const & s
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)
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{
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typename genType::value_type s1 = s;
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typename genType::value_type s2 = pow2(s);
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typename genType::value_type s3 = pow3(s);
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typename genType::value_type f1 = typename genType::value_type(2) * s3 - typename genType::value_type(3) * s2 + typename genType::value_type(1);
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typename genType::value_type f2 = typename genType::value_type(-2) * s3 + typename genType::value_type(3) * s2;
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typename genType::value_type f3 = s3 - typename genType::value_type(2) * s2 + s;
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typename genType::value_type f4 = s3 - s2;
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return f1 * v1 + f2 * v2 + f3 * t1 + f4 * t2;
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType cubic
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(
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genType const & v1,
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genType const & v2,
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genType const & v3,
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genType const & v4,
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typename genType::value_type const & s
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)
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{
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return ((v1 * s + v2) * s + v3) * s + v4;
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}
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}//namespace glm
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