Added Lerp functions.

2024-07-29 22:54:09 +08:00
parent 9c4624cccd
commit aab3a32e7a
3 changed files with 214 additions and 0 deletions
--- a/inc/hgl/math/Lerp3D.h
+++ b/inc/hgl/math/Lerp3D.h
@@ -0,0 +1,77 @@
+#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