1 /////////////////////////////////////////////////////////////////////////////////////////////////// 2 // OpenGL Mathematics Copyright (c) 2005 - 2014 G-Truc Creation (www.g-truc.net) 3 /////////////////////////////////////////////////////////////////////////////////////////////////// 4 // Created : 2007-01-25 5 // Updated : 2009-02-19 6 // Licence : This source is under MIT License 7 // File : glm/gtx/spline.inl 8 /////////////////////////////////////////////////////////////////////////////////////////////////// 9 10 namespace glm{ 11 12 template <typename genType> 13 GLM_FUNC_QUALIFIER genType catmullRom 14 ( 15 genType const & v1, 16 genType const & v2, 17 genType const & v3, 18 genType const & v4, 19 typename genType::value_type const & s 20 ) 21 { 22 typename genType::value_type s1 = s; 23 typename genType::value_type s2 = pow2(s); 24 typename genType::value_type s3 = pow3(s); 25 26 typename genType::value_type f1 = -s3 + typename genType::value_type(2) * s2 - s; 27 typename genType::value_type f2 = typename genType::value_type(3) * s3 - typename genType::value_type(5) * s2 + typename genType::value_type(2); 28 typename genType::value_type f3 = typename genType::value_type(-3) * s3 + typename genType::value_type(4) * s2 + s; 29 typename genType::value_type f4 = s3 - s2; 30 31 return (f1 * v1 + f2 * v2 + f3 * v3 + f4 * v4) / typename genType::value_type(2); 32 33 } 34 35 template <typename genType> 36 GLM_FUNC_QUALIFIER genType hermite 37 ( 38 genType const & v1, 39 genType const & t1, 40 genType const & v2, 41 genType const & t2, 42 typename genType::value_type const & s 43 ) 44 { 45 typename genType::value_type s1 = s; 46 typename genType::value_type s2 = pow2(s); 47 typename genType::value_type s3 = pow3(s); 48 49 typename genType::value_type f1 = typename genType::value_type(2) * s3 - typename genType::value_type(3) * s2 + typename genType::value_type(1); 50 typename genType::value_type f2 = typename genType::value_type(-2) * s3 + typename genType::value_type(3) * s2; 51 typename genType::value_type f3 = s3 - typename genType::value_type(2) * s2 + s; 52 typename genType::value_type f4 = s3 - s2; 53 54 return f1 * v1 + f2 * v2 + f3 * t1 + f4 * t2; 55 } 56 57 template <typename genType> 58 GLM_FUNC_QUALIFIER genType cubic 59 ( 60 genType const & v1, 61 genType const & v2, 62 genType const & v3, 63 genType const & v4, 64 typename genType::value_type const & s 65 ) 66 { 67 return ((v1 * s + v2) * s + v3) * s + v4; 68 } 69 70 }//namespace glm 71
