69 lines
1.9 KiB
C++
69 lines
1.9 KiB
C++
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
// OpenGL Mathematics Copyright (c) 2005 - 2010 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>
|
|
inline genType catmullRom(
|
|
const genType& v1,
|
|
const genType& v2,
|
|
const genType& v3,
|
|
const genType& v4,
|
|
const GLMvalType& s)
|
|
{
|
|
GLMvalType s1 = s;
|
|
GLMvalType s2 = optimum_pow::pow2(s);
|
|
GLMvalType s3 = optimum_pow::pow3(s);
|
|
|
|
GLMvalType f1 = -s3 + GLMvalType(2) * s2 - s;
|
|
GLMvalType f2 = GLMvalType(3) * s3 - GLMvalType(5) * s2 + GLMvalType(2);
|
|
GLMvalType f3 = GLMvalType(-3) * s3 + GLMvalType(4) * s2 + s;
|
|
GLMvalType f4 = s3 - s2;
|
|
|
|
return (f1 * v1 + f2 * v2 + f3 * v3 + f4 * v4) / GLMvalType(2);
|
|
|
|
}
|
|
|
|
template <typename genType>
|
|
inline genType hermite(
|
|
const genType& v1,
|
|
const genType& t1,
|
|
const genType& v2,
|
|
const genType& t2,
|
|
const GLMvalType& s)
|
|
{
|
|
GLMvalType s1 = s;
|
|
GLMvalType s2 = optimum_pow::pow2(s);
|
|
GLMvalType s3 = optimum_pow::pow3(s);
|
|
|
|
GLMvalType f1 = GLMvalType(2) * s3 - GLMvalType(3) * s2 + GLMvalType(1);
|
|
GLMvalType f2 = GLMvalType(-2) * s3 + GLMvalType(3) * s2;
|
|
GLMvalType f3 = s3 - GLMvalType(2) * s2 + s;
|
|
GLMvalType f4 = s3 - s2;
|
|
|
|
return f1 * v1 + f2 * v2 + f3 * t1 + f4 * t2;
|
|
}
|
|
|
|
template <typename genType>
|
|
inline genType cubic(
|
|
const genType& v1,
|
|
const genType& v2,
|
|
const genType& v3,
|
|
const genType& v4,
|
|
const GLMvalType& s)
|
|
{
|
|
return ((v1 * s + v2) * s + v3) * s + v4;
|
|
}
|
|
|
|
}//namespace spline
|
|
}//namespace gtx
|
|
}//namespace glm
|