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+///////////////////////////////////////////////////////////////////////////////////////////////////
+// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
+///////////////////////////////////////////////////////////////////////////////////////////////////
+// Created : 2007-01-25
+// Updated : 2009-02-19
+// Licence : This source is under MIT License
+// File : glm/gtx/spline.inl
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm{
+namespace gtx{
+namespace spline
+{
+ template <typename genType>
+ 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 = optimum_pow::pow2(s);
+ typename genType::value_type s3 = optimum_pow::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 <typename genType>
+ 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 = optimum_pow::pow2(s);
+ typename genType::value_type s3 = optimum_pow::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 <typename genType>
+ 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 spline
+}//namespace gtx
+}//namespace glm