CMCore/inc/hgl/math/Lerp3D.h

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2024-07-29 22:54:09 +08:00
#pragma once
#include<hgl/math/Vector.h>
namespace hgl
{
namespace graph
{
//*******************************************************************************************
//以下代码由Github Coplot自动生成尚未测试
//*******************************************************************************************
inline Vector3f LerpLinear(const Vector3f &from,const Vector3f &to,const float t)
{
return from+(to-from)*t;
}
inline Vector3f LerpCos(const Vector3f &from,const Vector3f &to,const float t)
{
float t2=(1.0f-cos(t*HGL_PI))/2.0f;
return from*(1.0f-t2)+to*t2;
}
inline Vector3f LerpCubic(const Vector3f &from,const Vector3f &to,const float t)
{
float t2=t*t;
float t3=t2*t;
return from*(2.0f*t3-3.0f*t2+1.0f)+to*(3.0f*t2-2.0f*t3);
}
inline Vector3f LerpHermite(const Vector3f &from,const Vector3f &to,const float t)
{
float t2=t*t;
float t3=t2*t;
return from*(2.0f*t3-3.0f*t2+1.0f)+to*(3.0f*t2-2.0f*t3);
}
inline Vector3f LerpBezier(const Vector3f &from,const Vector3f &cp1,const Vector3f &cp2,const Vector3f &to,const float t)
{
float t2=t*t;
float t3=t2*t;
float it=1.0f-t;
float it2=it*it;
float it3=it2*it;
return from*it3+cp1*3.0f*it2*t+cp2*3.0f*it*t2+to*t3;
}
inline Vector3f LerpCatmullRom(const Vector3f &p0,const Vector3f &p1,const Vector3f &p2,const Vector3f &p3,const float t)
{
float t2=t*t;
float t3=t2*t;
float it=1.0f-t;
float it2=it*it;
float it3=it2*it;
return p0*it3+p1*(3.0f*it2*t)+p2*(3.0f*it*t2)+p3*t3;
}
inline Vector3f LerpBSpline(const Vector3f &p0,const Vector3f &p1,const Vector3f &p2,const Vector3f &p3,const float t)
{
float t2=t*t;
float t3=t2*t;
float it=1.0f-t;
float it2=it*it;
float it3=it2*it;
return p0*(-it3/6.0f)+p1*(3.0f*t3/6.0f+3.0f*t2/6.0f+1.0f/6.0f)+p2*(-3.0f*t3/6.0f+3.0f*t2/6.0f)+p3*(t3/6.0f);
}
}//namespace graph
}//namespace hgl