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BobSong
2025-11-10 00:08:26 +08:00
parent 4059c207c0
commit 76f80db694
2814 changed files with 436400 additions and 178 deletions
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49
Assets/Obi/Scripts/RopeAndRod/DataStructures/Path/Interpolators/ObiCatmullRomInterpolator.cs Normal file
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using UnityEngine;
using System.Collections;
namespace Obi
{
public class ObiCatmullRomInterpolator : ObiInterpolator<float>
{
/**
* 1D bezier spline interpolation
*/
public float Evaluate(float y0, float y1, float y2, float y3, float mu)
{
float imu = 1 - mu;
return imu * imu * imu * y0 +
3f * imu * imu * mu * y1 +
3f * imu * mu * mu * y2 +
mu * mu * mu * y3;
}
/**
* 1D catmull rom spline second derivative
*/
public float EvaluateFirstDerivative(float y0, float y1, float y2, float y3, float mu)
{
float imu = 1 - mu;
return 3f * imu * imu * (y1 - y0) +
6f * imu * mu * (y2 - y1) +
3f * mu * mu * (y3 - y2);
}
/**
* 1D catmull rom spline second derivative
*/
public float EvaluateSecondDerivative(float y0, float y1, float y2, float y3, float mu)
{
float imu = 1 - mu;
return 3f * imu * imu * (y1 - y0) +
6f * imu * mu * (y2 - y1) +
3f * mu * mu * (y3 - y2);
}
}
}

11
Assets/Obi/Scripts/RopeAndRod/DataStructures/Path/Interpolators/ObiCatmullRomInterpolator.cs.meta Normal file
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46
Assets/Obi/Scripts/RopeAndRod/DataStructures/Path/Interpolators/ObiCatmullRomInterpolator3D.cs Normal file
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using UnityEngine;
using System.Collections;
namespace Obi
{
public class ObiCatmullRomInterpolator3D : ObiInterpolator<Vector3>
{
private ObiCatmullRomInterpolator interpolator = new ObiCatmullRomInterpolator();
/**
* 3D spline interpolation
*/
public Vector3 Evaluate(Vector3 y0, Vector3 y1, Vector3 y2, Vector3 y3, float mu)
{
return new Vector3(interpolator.Evaluate(y0.x, y1.x, y2.x, y3.x, mu),
interpolator.Evaluate(y0.y, y1.y, y2.y, y3.y, mu),
interpolator.Evaluate(y0.z, y1.z, y2.z, y3.z, mu));
}
/**
* 3D spline first derivative
*/
public Vector3 EvaluateFirstDerivative(Vector3 y0, Vector3 y1, Vector3 y2, Vector3 y3, float mu)
{
return new Vector3(interpolator.EvaluateFirstDerivative(y0.x, y1.x, y2.x, y3.x, mu),
interpolator.EvaluateFirstDerivative(y0.y, y1.y, y2.y, y3.y, mu),
interpolator.EvaluateFirstDerivative(y0.z, y1.z, y2.z, y3.z, mu));
}
/**
* 3D spline second derivative
*/
public Vector3 EvaluateSecondDerivative(Vector3 y0, Vector3 y1, Vector3 y2, Vector3 y3, float mu)
{
return new Vector3(interpolator.EvaluateSecondDerivative(y0.x, y1.x, y2.x, y3.x, mu),
interpolator.EvaluateSecondDerivative(y0.y, y1.y, y2.y, y3.y, mu),
interpolator.EvaluateSecondDerivative(y0.z, y1.z, y2.z, y3.z, mu));
}
}
}

11
Assets/Obi/Scripts/RopeAndRod/DataStructures/Path/Interpolators/ObiCatmullRomInterpolator3D.cs.meta Normal file
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49
Assets/Obi/Scripts/RopeAndRod/DataStructures/Path/Interpolators/ObiColorInterpolator3D.cs Normal file
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using UnityEngine;
using System.Collections;
namespace Obi
{
public class ObiColorInterpolator3D : ObiInterpolator<Color>
{
private ObiCatmullRomInterpolator interpolator = new ObiCatmullRomInterpolator();
/**
* 3D spline interpolation
*/
public Color Evaluate(Color y0, Color y1, Color y2, Color y3, float mu)
{
return new Color(interpolator.Evaluate(y0.r, y1.r, y2.r, y3.r, mu),
interpolator.Evaluate(y0.g, y1.g, y2.g, y3.g, mu),
interpolator.Evaluate(y0.b, y1.b, y2.b, y3.b, mu),
interpolator.Evaluate(y0.a, y1.a, y2.a, y3.a, mu));
}
/**
* 3D spline first derivative
*/
public Color EvaluateFirstDerivative(Color y0, Color y1, Color y2, Color y3, float mu)
{
return new Color(interpolator.EvaluateFirstDerivative(y0.r, y1.r, y2.r, y3.r, mu),
interpolator.EvaluateFirstDerivative(y0.g, y1.g, y2.g, y3.g, mu),
interpolator.EvaluateFirstDerivative(y0.b, y1.b, y2.b, y3.b, mu),
interpolator.EvaluateFirstDerivative(y0.a, y1.a, y2.a, y3.a, mu));
}
/**
* 3D spline second derivative
*/
public Color EvaluateSecondDerivative(Color y0, Color y1, Color y2, Color y3, float mu)
{
return new Color(interpolator.EvaluateSecondDerivative(y0.r, y1.r, y2.r, y3.r, mu),
interpolator.EvaluateSecondDerivative(y0.g, y1.g, y2.g, y3.g, mu),
interpolator.EvaluateSecondDerivative(y0.b, y1.b, y2.b, y3.b, mu),
interpolator.EvaluateSecondDerivative(y0.a, y1.a, y2.a, y3.a, mu));
}
}
}

11
Assets/Obi/Scripts/RopeAndRod/DataStructures/Path/Interpolators/ObiColorInterpolator3D.cs.meta Normal file
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33
Assets/Obi/Scripts/RopeAndRod/DataStructures/Path/Interpolators/ObiConstantInterpolator.cs Normal file
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using UnityEngine;
using System.Collections;
namespace Obi
{
public class ObiConstantInterpolator : ObiInterpolator<int>
{
/**
* constant interpolator
*/
public int Evaluate(int y0, int y1, int y2, int y3, float mu)
{
return mu < 0.5f ? y1 : y2;
}
/**
* derivative of constant value:
*/
public int EvaluateFirstDerivative(int y0, int y1, int y2, int y3, float mu)
{
return 0;
}
/**
* second derivative of constant value:
*/
public int EvaluateSecondDerivative(int y0, int y1, int y2, int y3, float mu)
{
return 0;
}
}
}

11
Assets/Obi/Scripts/RopeAndRod/DataStructures/Path/Interpolators/ObiConstantInterpolator.cs.meta Normal file
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13
Assets/Obi/Scripts/RopeAndRod/DataStructures/Path/Interpolators/ObiInterpolator.cs Normal file
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using UnityEngine;
using System.Collections;
namespace Obi
{
public interface ObiInterpolator<T>
{
T Evaluate(T v0, T v1, T v2, T v3, float mu);
T EvaluateFirstDerivative(T v0, T v1, T v2, T v3, float mu);
T EvaluateSecondDerivative(T v0, T v1, T v2, T v3, float mu);
}
}

11
Assets/Obi/Scripts/RopeAndRod/DataStructures/Path/Interpolators/ObiInterpolator.cs.meta Normal file
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