/////////////////////////////////////////////////////////////////////////////////// /// 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 gtx_spline /// @file glm/gtx/spline.inl /// @date 2007-01-25 / 2011-06-07 /// @author Christophe Riccio /////////////////////////////////////////////////////////////////////////////////// namespace glm { template GLM_FUNC_QUALIFIER genType catmullRom ( genType const & v1, genType const & v2, genType const & v3, genType const & v4, typename genType::value_type const & s ) { typename genType::value_type s1 = s; typename genType::value_type s2 = pow2(s); typename genType::value_type s3 = pow3(s); typename genType::value_type f1 = -s3 + typename genType::value_type(2) * s2 - s; typename genType::value_type f2 = typename genType::value_type(3) * s3 - typename genType::value_type(5) * s2 + typename genType::value_type(2); typename genType::value_type f3 = typename genType::value_type(-3) * s3 + typename genType::value_type(4) * s2 + s; typename genType::value_type f4 = s3 - s2; return (f1 * v1 + f2 * v2 + f3 * v3 + f4 * v4) / typename genType::value_type(2); } template GLM_FUNC_QUALIFIER genType hermite ( genType const & v1, genType const & t1, genType const & v2, genType const & t2, typename genType::value_type const & s ) { typename genType::value_type s1 = s; typename genType::value_type s2 = pow2(s); typename genType::value_type s3 = pow3(s); typename genType::value_type f1 = typename genType::value_type(2) * s3 - typename genType::value_type(3) * s2 + typename genType::value_type(1); typename genType::value_type f2 = typename genType::value_type(-2) * s3 + typename genType::value_type(3) * s2; typename genType::value_type f3 = s3 - typename genType::value_type(2) * s2 + s; typename genType::value_type f4 = s3 - s2; return f1 * v1 + f2 * v2 + f3 * t1 + f4 * t2; } template GLM_FUNC_QUALIFIER genType cubic ( genType const & v1, genType const & v2, genType const & v3, genType const & v4, typename genType::value_type const & s ) { return ((v1 * s + v2) * s + v3) * s + v4; } }//namespace glm