spline.inl

 
 
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