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clearing up interpolation functions

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minjaesong
2023-06-30 00:14:28 +09:00
parent 07cbcbe79b
commit 6db3baf691
2 changed files with 24 additions and 19 deletions
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29
src/com/jme3/math/FastMath.java
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@@ -231,6 +231,10 @@ final public class FastMath {
return (float) (((c4 * u + c3) * u + c2) * u + c1);
}
public static float interpolateCatmullRom(float u, float p0, float p1, float p2, float p3) {
return interpolateCatmullRom(u, 0.5f, p0, p1, p2, p3);
}
/**Interpolate a spline between at least 4 control points following the Catmull-Rom equation.
* here is the interpolation matrix
* m = [ 0.0 1.0 0.0 0.0 ]
@@ -316,24 +320,25 @@ final public class FastMath {
public static float interpolateHermite(float scale, float p0, float p1, float p2, float p3) {
return interpolateHermite(scale, p0, p1, p2, p3, 0f, 0f);
}
public static float interpolateHermite(float scale, float p0, float p1, float p2, float p3, float tension, float bias) {
// return interpolateHermite(scale, p0, p1, p2, p3, 0f, 0f);
float mu2 = scale * scale;
float mu3 = mu2 * scale;
float biasTensionTerms = 0.5f;//(1f + bias) * (1f - tension) / 2f;
float m0 = (p1 - p0) * (1f + bias) * (1f - tension) / 2f;
m0 += (p2 - p1) * (1f + bias) * (1f - tension) / 2f;
float m1 = (p2 - p1) * (1f + bias) * (1f - tension) / 2f;
m1 += (p3 - p2) * (1f + bias) * (1f - tension) / 2f;
float m0 = (p1 - p0) * biasTensionTerms;
float mTemp = (p2 - p1) * biasTensionTerms;
m0 += mTemp;
float m1 = mTemp;
m1 += (p3 - p2) * biasTensionTerms;
float a0 = 2 * mu3 - 3 * mu2 + 1;
float a1 = mu3 - 2 * mu2 + scale;
float a2 = mu3 - mu2;
float a3 = -2 * mu3 + 3 * mu2;
float a0 = 2*mu3 - 3*mu2 + 1;
float a1 = 1*mu3 - 2*mu2 + scale;
float a2 = 1*mu3 - 1*mu2 + 0;
float a3 = -2*mu3 + 3*mu2 + 0;
return a0 * p1 + a1 * m0 + a2 * m1 + a3 * p2;
return a0*p1 + a1*m0 + a2*m1 + a3*p2;
}
//public static float interpolateHermite(float scale, float p0, float p1, float p2, float p3, float tension, float bias) {}
/**