mirror of
https://github.com/VolmitSoftware/Iris.git
synced 2025-07-18 18:23:06 +00:00
624 lines
18 KiB
Java
624 lines
18 KiB
Java
package com.volmit.iris.util;
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import com.volmit.iris.object.InterpolationMethod;
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public class IrisInterpolation
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{
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public static double bezier(double t)
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{
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return t * t * (3.0d - 2.0d * t);
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}
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public static double parametric(double t, double alpha)
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{
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double sqt = Math.pow(t, alpha);
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return sqt / (alpha * (sqt - Math.pow(t, alpha - 1)) + 1.0d);
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}
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public static double lerp(double a, double b, double f)
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{
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return a + (f * (b - a));
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}
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public static float lerpf(float a, float b, float f)
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{
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return a + (f * (b - a));
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}
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public static double lerpBezier(double a, double b, double f)
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{
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return a + (bezier(f) * (b - a));
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}
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public static double sinCenter(double f)
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{
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return Math.sin(f * Math.PI);
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}
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public static double lerpCenterSinBezier(double a, double b, double f)
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{
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return lerpBezier(a, b, sinCenter(f));
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}
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public static double lerpCenterSin(double a, double b, double f)
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{
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return lerpBezier(a, b, sinCenter(f));
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}
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public static double lerpParametric(double a, double b, double f, double v)
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{
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return a + (parametric(f, v) * (b - a));
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}
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public static double blerp(double a, double b, double c, double d, double tx, double ty)
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{
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return lerp(lerp(a, b, tx), lerp(c, d, tx), ty);
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}
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public static double blerp(double a, double b, double c, double d, double tx, double ty, InterpolationType type)
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{
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if(type.equals(InterpolationType.LINEAR))
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{
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return blerp(a, b, c, d, tx, ty);
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}
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if(type.equals(InterpolationType.BEZIER))
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{
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return blerpBezier(a, b, c, d, tx, ty);
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}
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if(type.equals(InterpolationType.PARAMETRIC_2))
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{
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return blerpParametric(a, b, c, d, tx, ty, 2);
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}
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if(type.equals(InterpolationType.PARAMETRIC_4))
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{
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return blerpParametric(a, b, c, d, tx, ty, 4);
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}
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return 0;
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}
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public static double blerpBezier(double a, double b, double c, double d, double tx, double ty)
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{
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return lerpBezier(lerpBezier(a, b, tx), lerpBezier(c, d, tx), ty);
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}
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public static double blerpSinCenter(double a, double b, double c, double d, double tx, double ty)
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{
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return lerpCenterSin(lerpCenterSin(a, b, tx), lerpCenterSin(c, d, tx), ty);
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}
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public static double blerpParametric(double a, double b, double c, double d, double tx, double ty, double v)
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{
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return lerpParametric(lerpParametric(a, b, tx, v), lerpParametric(c, d, tx, v), ty, v);
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}
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public static double hermite(double p0, double p1, double p2, double p3, double mu, double tension, double bias)
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{
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double m0, m1, mu2, mu3;
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double a0, a1, a2, a3;
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mu2 = mu * mu;
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mu3 = mu2 * mu;
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m0 = (p1 - p0) * (1 + bias) * (1 - tension) / 2;
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m0 += (p2 - p1) * (1 - bias) * (1 - tension) / 2;
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m1 = (p2 - p1) * (1 + bias) * (1 - tension) / 2;
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m1 += (p3 - p2) * (1 - bias) * (1 - tension) / 2;
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a0 = 2 * mu3 - 3 * mu2 + 1;
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a1 = mu3 - 2 * mu2 + mu;
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a2 = mu3 - mu2;
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a3 = -2 * mu3 + 3 * mu2;
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return (a0 * p1 + a1 * m0 + a2 * m1 + a3 * p2);
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}
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public static double hermiteBezier(double p0, double p1, double p2, double p3, double mu, double tension, double bias)
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{
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return bezier(hermite(p0, p1, p2, p3, mu, tension, bias));
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}
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public static double hermiteParametric(double p0, double p1, double p2, double p3, double mu, double tension, double bias, double a)
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{
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return parametric(hermite(p0, p1, p2, p3, mu, tension, bias), a);
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}
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public static double bihermite(double p00, double p01, double p02, double p03, double p10, double p11, double p12, double p13, double p20, double p21, double p22, double p23, double p30, double p31, double p32, double p33, double mux, double muy, double tension, double bias)
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{
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//@builder
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return hermite(
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hermite(p00, p01, p02, p03, muy, tension, bias),
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hermite(p10, p11, p12, p13, muy, tension, bias),
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hermite(p20, p21, p22, p23, muy, tension, bias),
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hermite(p30, p31, p32, p33, muy, tension, bias),
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mux, tension, bias);
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//@done
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}
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public static double bihermiteBezier(double p00, double p01, double p02, double p03, double p10, double p11, double p12, double p13, double p20, double p21, double p22, double p23, double p30, double p31, double p32, double p33, double mux, double muy, double tension, double bias)
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{
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//@builder
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return hermiteBezier(
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hermiteBezier(p00, p01, p02, p03, muy, tension, bias),
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hermiteBezier(p10, p11, p12, p13, muy, tension, bias),
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hermiteBezier(p20, p21, p22, p23, muy, tension, bias),
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hermiteBezier(p30, p31, p32, p33, muy, tension, bias),
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mux, tension, bias);
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//@done
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}
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public static double bihermiteParametric(double p00, double p01, double p02, double p03, double p10, double p11, double p12, double p13, double p20, double p21, double p22, double p23, double p30, double p31, double p32, double p33, double mux, double muy, double tension, double bias, double a)
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{
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//@builder
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return hermiteParametric(
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hermiteParametric(p00, p01, p02, p03, muy, tension, bias, a),
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hermiteParametric(p10, p11, p12, p13, muy, tension, bias, a),
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hermiteParametric(p20, p21, p22, p23, muy, tension, bias, a),
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hermiteParametric(p30, p31, p32, p33, muy, tension, bias, a),
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mux, tension, bias, a);
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//@done
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}
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public static double cubic(double p0, double p1, double p2, double p3, double mu)
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{
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double a0, a1, a2, a3, mu2;
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mu2 = mu * mu;
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a0 = p3 - p2 - p0 + p1;
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a1 = p0 - p1 - a0;
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a2 = p2 - p0;
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a3 = p1;
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return a0 * mu * mu2 + a1 * mu2 + a2 * mu + a3;
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}
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public static double cubicBezier(double p0, double p1, double p2, double p3, double mu)
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{
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return bezier(cubic(p0, p1, p2, p3, mu));
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}
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public static double cubicParametric(double p0, double p1, double p2, double p3, double mu, double a)
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{
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return parametric(cubic(p0, p1, p2, p3, mu), a);
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}
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public static double bicubic(double p00, double p01, double p02, double p03, double p10, double p11, double p12, double p13, double p20, double p21, double p22, double p23, double p30, double p31, double p32, double p33, double mux, double muy)
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{
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//@builder
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return cubic(
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cubic(p00, p01, p02, p03, muy),
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cubic(p10, p11, p12, p13, muy),
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cubic(p20, p21, p22, p23, muy),
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cubic(p30, p31, p32, p33, muy),
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mux);
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//@done
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}
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public static double bicubicBezier(double p00, double p01, double p02, double p03, double p10, double p11, double p12, double p13, double p20, double p21, double p22, double p23, double p30, double p31, double p32, double p33, double mux, double muy)
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{
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//@builder
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return cubicBezier(
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cubicBezier(p00, p01, p02, p03, muy),
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cubicBezier(p10, p11, p12, p13, muy),
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cubicBezier(p20, p21, p22, p23, muy),
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cubicBezier(p30, p31, p32, p33, muy),
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mux);
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//@done
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}
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public static double bicubicParametric(double p00, double p01, double p02, double p03, double p10, double p11, double p12, double p13, double p20, double p21, double p22, double p23, double p30, double p31, double p32, double p33, double mux, double muy, double a)
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{
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//@builder
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return cubicParametric(
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cubicParametric(p00, p01, p02, p03, muy,a),
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cubicParametric(p10, p11, p12, p13, muy,a),
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cubicParametric(p20, p21, p22, p23, muy,a),
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cubicParametric(p30, p31, p32, p33, muy,a),
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mux, a);
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//@done
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}
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public static double trilerp(double v1, double v2, double v3, double v4, double v5, double v6, double v7, double v8, double x, double y, double z)
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{
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double s = blerp(v1, v2, v3, v4, x, y);
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double t = blerp(v5, v6, v7, v8, x, y);
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return lerp(s, t, z);
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}
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public static double getBilinearNoise(int x, int z, double rad, NoiseProvider n)
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{
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int fx = (int) Math.floor(x / rad);
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int fz = (int) Math.floor(z / rad);
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int x1 = (int) Math.round(fx * rad);
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int z1 = (int) Math.round(fz * rad);
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int x2 = (int) Math.round((fx + 1) * rad);
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int z2 = (int) Math.round((fz + 1) * rad);
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double px = rangeScale(0, 1, x1, x2, x);
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double pz = rangeScale(0, 1, z1, z2, z);
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//@builder
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return blerp(
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n.noise(x1, z1),
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n.noise(x2, z1),
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n.noise(x1, z2),
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n.noise(x2, z2),
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px, pz);
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//@done
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}
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public static double getBilinearBezierNoise(int x, int z, double rad, NoiseProvider n)
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{
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int fx = (int) Math.floor(x / rad);
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int fz = (int) Math.floor(z / rad);
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int x1 = (int) Math.round(fx * rad);
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int z1 = (int) Math.round(fz * rad);
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int x2 = (int) Math.round((fx + 1) * rad);
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int z2 = (int) Math.round((fz + 1) * rad);
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double px = rangeScale(0, 1, x1, x2, x);
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double pz = rangeScale(0, 1, z1, z2, z);
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//@builder
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return blerpBezier(
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n.noise(x1, z1),
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n.noise(x2, z1),
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n.noise(x1, z2),
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n.noise(x2, z2),
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px, pz);
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//@done
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}
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public static double getBilinearParametricNoise(int x, int z, double rad, NoiseProvider n, double a)
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{
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int fx = (int) Math.floor(x / rad);
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int fz = (int) Math.floor(z / rad);
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int x1 = (int) Math.round(fx * rad);
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int z1 = (int) Math.round(fz * rad);
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int x2 = (int) Math.round((fx + 1) * rad);
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int z2 = (int) Math.round((fz + 1) * rad);
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double px = rangeScale(0, 1, x1, x2, x);
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double pz = rangeScale(0, 1, z1, z2, z);
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//@builder
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return blerpParametric(
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n.noise(x1, z1),
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n.noise(x2, z1),
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n.noise(x1, z2),
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n.noise(x2, z2),
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px, pz, a);
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//@done
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}
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public static double getBilinearCenterSineNoise(int x, int z, double rad, NoiseProvider n)
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{
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int fx = (int) Math.floor(x / rad);
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int fz = (int) Math.floor(z / rad);
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int x1 = (int) Math.round(fx * rad);
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int z1 = (int) Math.round(fz * rad);
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int x2 = (int) Math.round((fx + 1) * rad);
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int z2 = (int) Math.round((fz + 1) * rad);
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double px = rangeScale(0, 1, x1, x2, x);
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double pz = rangeScale(0, 1, z1, z2, z);
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//@builder
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return blerpSinCenter(
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n.noise(x1, z1),
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n.noise(x2, z1),
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n.noise(x1, z2),
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n.noise(x2, z2),
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px, pz);
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//@done
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}
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public static double getBicubicNoise(int x, int z, double rad, NoiseProvider n)
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{
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int fx = (int) Math.floor(x / rad);
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int fz = (int) Math.floor(z / rad);
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int x0 = (int) Math.round((fx - 1) * rad);
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int z0 = (int) Math.round((fz - 1) * rad);
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int x1 = (int) Math.round(fx * rad);
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int z1 = (int) Math.round(fz * rad);
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int x2 = (int) Math.round((fx + 1) * rad);
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int z2 = (int) Math.round((fz + 1) * rad);
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int x3 = (int) Math.round((fx + 2) * rad);
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int z3 = (int) Math.round((fz + 2) * rad);
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double px = rangeScale(0, 1, x1, x2, x);
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double pz = rangeScale(0, 1, z1, z2, z);
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//@builder
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return bicubic(
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n.noise(x0, z0),
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n.noise(x0, z1),
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n.noise(x0, z2),
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n.noise(x0, z3),
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n.noise(x1, z0),
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n.noise(x1, z1),
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n.noise(x1, z2),
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n.noise(x1, z3),
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n.noise(x2, z0),
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n.noise(x2, z1),
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n.noise(x2, z2),
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n.noise(x2, z3),
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n.noise(x3, z0),
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n.noise(x3, z1),
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n.noise(x3, z2),
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n.noise(x3, z3),
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px, pz);
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//@done
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}
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public static double getBicubicBezierNoise(int x, int z, double rad, NoiseProvider n)
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{
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int fx = (int) Math.floor(x / rad);
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int fz = (int) Math.floor(z / rad);
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int x0 = (int) Math.round((fx - 1) * rad);
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int z0 = (int) Math.round((fz - 1) * rad);
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int x1 = (int) Math.round(fx * rad);
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int z1 = (int) Math.round(fz * rad);
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int x2 = (int) Math.round((fx + 1) * rad);
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int z2 = (int) Math.round((fz + 1) * rad);
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int x3 = (int) Math.round((fx + 2) * rad);
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int z3 = (int) Math.round((fz + 2) * rad);
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double px = rangeScale(0, 1, x1, x2, x);
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double pz = rangeScale(0, 1, z1, z2, z);
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//@builder
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return bicubicBezier(
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n.noise(x0, z0),
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n.noise(x0, z1),
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n.noise(x0, z2),
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n.noise(x0, z3),
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n.noise(x1, z0),
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n.noise(x1, z1),
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n.noise(x1, z2),
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n.noise(x1, z3),
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n.noise(x2, z0),
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n.noise(x2, z1),
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n.noise(x2, z2),
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n.noise(x2, z3),
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n.noise(x3, z0),
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n.noise(x3, z1),
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n.noise(x3, z2),
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n.noise(x3, z3),
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px, pz);
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//@done
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}
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public static double getBicubicParametricNoise(int x, int z, double rad, NoiseProvider n, double a)
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{
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int fx = (int) Math.floor(x / rad);
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int fz = (int) Math.floor(z / rad);
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int x0 = (int) Math.round((fx - 1) * rad);
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int z0 = (int) Math.round((fz - 1) * rad);
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int x1 = (int) Math.round(fx * rad);
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int z1 = (int) Math.round(fz * rad);
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int x2 = (int) Math.round((fx + 1) * rad);
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int z2 = (int) Math.round((fz + 1) * rad);
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int x3 = (int) Math.round((fx + 2) * rad);
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int z3 = (int) Math.round((fz + 2) * rad);
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double px = rangeScale(0, 1, x1, x2, x);
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double pz = rangeScale(0, 1, z1, z2, z);
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//@builder
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return bicubicParametric(
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n.noise(x0, z0),
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n.noise(x0, z1),
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n.noise(x0, z2),
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n.noise(x0, z3),
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n.noise(x1, z0),
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n.noise(x1, z1),
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n.noise(x1, z2),
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n.noise(x1, z3),
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n.noise(x2, z0),
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n.noise(x2, z1),
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n.noise(x2, z2),
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n.noise(x2, z3),
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n.noise(x3, z0),
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n.noise(x3, z1),
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n.noise(x3, z2),
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n.noise(x3, z3),
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px, pz, a);
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//@done
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}
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public static double getHermiteNoise(int x, int z, double rad, NoiseProvider n)
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{
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return getHermiteNoise(x, z, rad, n, 0.5, 0);
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}
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public static double getHermiteBezierNoise(int x, int z, double rad, NoiseProvider n)
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{
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return getHermiteBezierNoise(x, z, rad, n, 0.5, 0);
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|
}
|
|
|
|
public static double getHermiteParametricNoise(int x, int z, double rad, NoiseProvider n, double a)
|
|
{
|
|
return getHermiteParametricNoise(x, z, rad, n, 0.5, 0, a);
|
|
}
|
|
|
|
public static double getHermiteNoise(int x, int z, double rad, NoiseProvider n, double t, double b)
|
|
{
|
|
int fx = (int) Math.floor(x / rad);
|
|
int fz = (int) Math.floor(z / rad);
|
|
int x0 = (int) Math.round((fx - 1) * rad);
|
|
int z0 = (int) Math.round((fz - 1) * rad);
|
|
int x1 = (int) Math.round(fx * rad);
|
|
int z1 = (int) Math.round(fz * rad);
|
|
int x2 = (int) Math.round((fx + 1) * rad);
|
|
int z2 = (int) Math.round((fz + 1) * rad);
|
|
int x3 = (int) Math.round((fx + 2) * rad);
|
|
int z3 = (int) Math.round((fz + 2) * rad);
|
|
double px = rangeScale(0, 1, x1, x2, x);
|
|
double pz = rangeScale(0, 1, z1, z2, z);
|
|
//@builder
|
|
return bihermite(
|
|
n.noise(x0, z0),
|
|
n.noise(x0, z1),
|
|
n.noise(x0, z2),
|
|
n.noise(x0, z3),
|
|
n.noise(x1, z0),
|
|
n.noise(x1, z1),
|
|
n.noise(x1, z2),
|
|
n.noise(x1, z3),
|
|
n.noise(x2, z0),
|
|
n.noise(x2, z1),
|
|
n.noise(x2, z2),
|
|
n.noise(x2, z3),
|
|
n.noise(x3, z0),
|
|
n.noise(x3, z1),
|
|
n.noise(x3, z2),
|
|
n.noise(x3, z3),
|
|
px, pz, t, b);
|
|
//@done
|
|
}
|
|
|
|
public static double getHermiteBezierNoise(int x, int z, double rad, NoiseProvider n, double t, double b)
|
|
{
|
|
int fx = (int) Math.floor(x / rad);
|
|
int fz = (int) Math.floor(z / rad);
|
|
int x0 = (int) Math.round((fx - 1) * rad);
|
|
int z0 = (int) Math.round((fz - 1) * rad);
|
|
int x1 = (int) Math.round(fx * rad);
|
|
int z1 = (int) Math.round(fz * rad);
|
|
int x2 = (int) Math.round((fx + 1) * rad);
|
|
int z2 = (int) Math.round((fz + 1) * rad);
|
|
int x3 = (int) Math.round((fx + 2) * rad);
|
|
int z3 = (int) Math.round((fz + 2) * rad);
|
|
double px = rangeScale(0, 1, x1, x2, x);
|
|
double pz = rangeScale(0, 1, z1, z2, z);
|
|
//@builder
|
|
return bihermiteBezier(
|
|
n.noise(x0, z0),
|
|
n.noise(x0, z1),
|
|
n.noise(x0, z2),
|
|
n.noise(x0, z3),
|
|
n.noise(x1, z0),
|
|
n.noise(x1, z1),
|
|
n.noise(x1, z2),
|
|
n.noise(x1, z3),
|
|
n.noise(x2, z0),
|
|
n.noise(x2, z1),
|
|
n.noise(x2, z2),
|
|
n.noise(x2, z3),
|
|
n.noise(x3, z0),
|
|
n.noise(x3, z1),
|
|
n.noise(x3, z2),
|
|
n.noise(x3, z3),
|
|
px, pz, t, b);
|
|
//@done
|
|
}
|
|
|
|
public static double getHermiteParametricNoise(int x, int z, double rad, NoiseProvider n, double t, double b, double a)
|
|
{
|
|
int fx = (int) Math.floor(x / rad);
|
|
int fz = (int) Math.floor(z / rad);
|
|
int x0 = (int) Math.round((fx - 1) * rad);
|
|
int z0 = (int) Math.round((fz - 1) * rad);
|
|
int x1 = (int) Math.round(fx * rad);
|
|
int z1 = (int) Math.round(fz * rad);
|
|
int x2 = (int) Math.round((fx + 1) * rad);
|
|
int z2 = (int) Math.round((fz + 1) * rad);
|
|
int x3 = (int) Math.round((fx + 2) * rad);
|
|
int z3 = (int) Math.round((fz + 2) * rad);
|
|
double px = rangeScale(0, 1, x1, x2, x);
|
|
double pz = rangeScale(0, 1, z1, z2, z);
|
|
//@builder
|
|
return bihermiteParametric(
|
|
n.noise(x0, z0),
|
|
n.noise(x0, z1),
|
|
n.noise(x0, z2),
|
|
n.noise(x0, z3),
|
|
n.noise(x1, z0),
|
|
n.noise(x1, z1),
|
|
n.noise(x1, z2),
|
|
n.noise(x1, z3),
|
|
n.noise(x2, z0),
|
|
n.noise(x2, z1),
|
|
n.noise(x2, z2),
|
|
n.noise(x2, z3),
|
|
n.noise(x3, z0),
|
|
n.noise(x3, z1),
|
|
n.noise(x3, z2),
|
|
n.noise(x3, z3),
|
|
px, pz, t, b, a);
|
|
//@done
|
|
}
|
|
|
|
public static double getNoise(InterpolationMethod method, int x, int z, double rad, NoiseProvider n)
|
|
{
|
|
if(method.equals(InterpolationMethod.BILINEAR))
|
|
{
|
|
return getBilinearNoise(x, z, rad, n);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.BICUBIC))
|
|
{
|
|
return getBicubicNoise(x, z, rad, n);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.BILINEAR_BEZIER))
|
|
{
|
|
return getBilinearBezierNoise(x, z, rad, n);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.BILINEAR_PARAMETRIC_2))
|
|
{
|
|
return getBilinearParametricNoise(x, z, rad, n, 2);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.BILINEAR_PARAMETRIC_4))
|
|
{
|
|
return getBilinearParametricNoise(x, z, rad, n, 4);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.BILINEAR_PARAMETRIC_1_5))
|
|
{
|
|
return getBilinearParametricNoise(x, z, rad, n, 1.5);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.BICUBIC))
|
|
{
|
|
return getBilinearNoise(x, z, rad, n);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.HERMITE))
|
|
{
|
|
return getHermiteNoise(x, z, rad, n);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.HERMITE_TENSE))
|
|
{
|
|
return getHermiteNoise(x, z, rad, n, 0.8D, 0D);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.CATMULL_ROM_SPLINE))
|
|
{
|
|
return getHermiteNoise(x, z, rad, n, 1D, 0D);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.HERMITE_LOOSE))
|
|
{
|
|
return getHermiteNoise(x, z, rad, n, 0D, 0D);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.HERMITE_LOOSE_HALF_NEGATIVE_BIAS))
|
|
{
|
|
return getHermiteNoise(x, z, rad, n, 0D, -0.5D);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.HERMITE_LOOSE_HALF_POSITIVE_BIAS))
|
|
{
|
|
return getHermiteNoise(x, z, rad, n, 0D, 0.5D);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.HERMITE_LOOSE_FULL_NEGATIVE_BIAS))
|
|
{
|
|
return getHermiteNoise(x, z, rad, n, 0D, -1D);
|
|
}
|
|
|
|
else if(method.equals(InterpolationMethod.HERMITE_LOOSE_FULL_POSITIVE_BIAS))
|
|
{
|
|
return getHermiteNoise(x, z, rad, n, 0D, 1D);
|
|
}
|
|
|
|
return n.noise(x, z);
|
|
}
|
|
|
|
public static double rangeScale(double amin, double amax, double bmin, double bmax, double b)
|
|
{
|
|
return amin + ((amax - amin) * ((b - bmin) / (bmax - bmin)));
|
|
}
|
|
} |