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- /// @ref gtx_spline
- namespace glm
- {
- 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 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<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 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<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 glm
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