diff --git a/inc/hgl/math/Lerp2D.h b/inc/hgl/math/Lerp2D.h new file mode 100644 index 0000000..e429feb --- /dev/null +++ b/inc/hgl/math/Lerp2D.h @@ -0,0 +1,111 @@ +#pragma once + +#include + +namespace hgl +{ + namespace graph + { + //******************************************************************************************* + //以下代码由Github Coplot自动生成,尚未测试 + //******************************************************************************************* + + inline float LerpLinear(const float from,const float to,const float t) + { + return from+(to-from)*t; + } + + inline float LerpCos(const float from,const float to,const float t) + { + float t2=(1.0f-cos(t*HGL_PI))/2.0f; + + return from*(1.0f-t2)+to*t2; + } + + inline float LerpCubic(const float from,const float 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 float LerpHermite(const float from,const float 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 Vector2f LerpLinear(const Vector2f &from,const Vector2f &to,const float t) + { + return from+(to-from)*t; + } + + inline Vector2f LerpCos(const Vector2f &from,const Vector2f &to,const float t) + { + float t2=(1.0f-cos(t*HGL_PI))/2.0f; + + return from*(1.0f-t2)+to*t2; + } + + inline Vector2f LerpCubic(const Vector2f &from,const Vector2f &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 Vector2f LerpHermite(const Vector2f &from,const Vector2f &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 Vector2f LerpBezier(const Vector2f &p0,const Vector2f &p1,const Vector2f &p2,const Vector2f &p3,const float t) + { + float t2=t*t; + float t3=t2*t; + + float t_1=1.0f-t; + float t2_1=t_1*t_1; + float t3_1=t2_1*t_1; + + return p0*t3_1+3.0f*p1*t*t2_1+3.0f*p2*t2*t_1+p3*t3; + } + + inline Vector2f LerpCatmullRom(const Vector2f &p0,const Vector2f &p1,const Vector2f &p2,const Vector2f &p3,const float t) + { + float t2=t*t; + float t3=t2*t; + + float t_1=1.0f-t; + float t2_1=t_1*t_1; + float t3_1=t2_1*t_1; + + return p0*((-t3+2.0f*t2-t)*0.5f) + +p1*((3.0f*t3-5.0f*t2+2.0f)*0.5f) + +p2*((-3.0f*t3+4.0f*t2+t)*0.5f) + +p3*((t3-t2)*0.5f); + } + + inline Vector2f LerpBSpline(const Vector2f &p0,const Vector2f &p1,const Vector2f &p2,const Vector2f &p3,const float t) + { + float t2=t*t; + float t3=t2*t; + + float t_1=1.0f-t; + float t2_1=t_1*t_1; + float t3_1=t2_1*t_1; + + return p0*((-t3+3.0f*t2-3.0f*t+1.0f)/6.0f) + +p1*((3.0f*t3-6.0f*t2+4.0f)/6.0f) + +p2*((-3.0f*t3+3.0f*t2+3.0f*t+1.0f)/6.0f) + +p3*(t3)/6.0f; + } + }//namespace graph +}//namespace hgl diff --git a/inc/hgl/math/Lerp3D.h b/inc/hgl/math/Lerp3D.h new file mode 100644 index 0000000..37f4b2d --- /dev/null +++ b/inc/hgl/math/Lerp3D.h @@ -0,0 +1,77 @@ +#pragma once + +#include + +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 diff --git a/inc/hgl/math/LerpType.h b/inc/hgl/math/LerpType.h new file mode 100644 index 0000000..c293d4d --- /dev/null +++ b/inc/hgl/math/LerpType.h @@ -0,0 +1,26 @@ +#pragma once + +#include + +namespace hgl +{ + namespace graph + { + /** + * 插值算法 + */ + enum class LerpType + { + None, ///<无插值 + Linear, ///<线性插值 + Cos, ///