242 lines
8.0 KiB
C++
242 lines
8.0 KiB
C++
/*
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* PerlinNoise.hpp
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*
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* Created on: Jul 11, 2008
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* Author: pete
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*/
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#ifndef PERLINNOISE_HPP_
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#define PERLINNOISE_HPP_
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#include <math.h>
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class PerlinNoise
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{
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public:
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float noise_lq[256][256];
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float noise_lq_lite[32][32];
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float noise_mq[256][256];
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float noise_hq[256][256];
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float noise_perlin[512][512];
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float noise_lq_vol[32][32][32];
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float noise_hq_vol[32][32][32];
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PerlinNoise();
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virtual ~PerlinNoise();
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private:
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static inline float noise( int x)
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{
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x = (x<<13)^x;
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return (((x * (x * x * 15731 + 789221) + 1376312589) & 0x7fffffff) / 2147483648.0);
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}
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static inline float noise(int x, int y)
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{
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int n = x + y * 57;
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return noise(n);
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}
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static inline float noise(int x, int y, int z)
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{
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int n = x + y * 57 + z * 141;
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return noise(n);
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}
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static inline float cos_interp(float a, float b, float x)
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{
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float ft = x * 3.1415927;
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float f = (1 - cos(ft)) * .5;
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return a*(1-f) + b*f;
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}
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static inline float cubic_interp(float v0, float v1, float v2, float v3, float x)
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{
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float P = (v3 - v2) - (v0 - v1);
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float Q = (v0 - v1) - P;
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float R = v2 - v0;
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return P*pow(x,3) + Q * pow(x,2) + R*x + v1;
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}
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static inline float InterpolatedNoise(float x, float y)
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{
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int integer_X = int(x);
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float fractional_X = x - integer_X;
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int integer_Y = int(y);
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float fractional_Y = y - integer_Y;
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float a0 = noise(integer_X - 1, integer_Y - 1);
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float a1 = noise(integer_X, integer_Y - 1);
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float a2 = noise(integer_X + 1, integer_Y - 1);
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float a3 = noise(integer_X + 2, integer_Y - 1);
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float x0 = noise(integer_X - 1, integer_Y);
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float x1 = noise(integer_X, integer_Y);
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float x2 = noise(integer_X + 1, integer_Y);
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float x3 = noise(integer_X + 2, integer_Y);
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float y0 = noise(integer_X + 0, integer_Y + 1);
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float y1 = noise(integer_X, integer_Y + 1);
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float y2 = noise(integer_X + 1, integer_Y + 1);
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float y3 = noise(integer_X + 2, integer_Y + 1);
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float b0 = noise(integer_X - 1, integer_Y + 2);
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float b1 = noise(integer_X, integer_Y + 2);
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float b2 = noise(integer_X + 1, integer_Y + 2);
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float b3 = noise(integer_X + 2, integer_Y + 2);
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float i0 = cubic_interp(a0 , a1, a2, a3, fractional_X);
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float i1 = cubic_interp(x0 , x1, x2, x3, fractional_X);
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float i2 = cubic_interp(y0 , y1, y2, y3, fractional_X);
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float i3 = cubic_interp(b0 , b1, b2, b3, fractional_X);
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return cubic_interp(i0, i1 , i2 , i3, fractional_Y);
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}
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static inline float perlin_octave_2d(float x,float y, int width, int seed, float period)
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{
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float freq=1/(float)(period);
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int num=(int)(width*freq);
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int step_x=(int)(x*freq);
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int step_y=(int)(y*freq);
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float zone_x=x*freq-step_x;
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float zone_y=y*freq-step_y;
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int box=step_x+step_y*num;
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int noisedata=(box+seed);
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float u=cubic_interp(noise(noisedata-num-1),noise(noisedata-num),noise(noisedata-num+1),noise(noisedata-num+2),zone_x);
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float a=cubic_interp(noise(noisedata-1),noise(noisedata),noise(noisedata+1),noise(noisedata+2),zone_x);
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float b=cubic_interp(noise(noisedata+num -1),noise(noisedata+num),noise(noisedata+1+num),noise(noisedata+2+num),zone_x);
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float v=cubic_interp(noise(noisedata+2*num -1),noise(noisedata+2*num),noise(noisedata+1+2*num),noise(noisedata+2+2*num),zone_x);
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float value=cubic_interp(u,a,b,v,zone_y);
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return value;
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}
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static inline float perlin_octave_2d_cos(float x,float y, int width, int seed, float period)
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{
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float freq=1/(float)(period);
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int num=(int)(width*freq);
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int step_x=(int)(x*freq);
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int step_y=(int)(y*freq);
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float zone_x=x*freq-step_x;
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float zone_y=y*freq-step_y;
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int box=step_x+step_y*num;
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int noisedata=(box+seed);
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float a=cos_interp(noise(noisedata),noise(noisedata+1),zone_x);
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float b=cos_interp(noise(noisedata+num),noise(noisedata+1+num),zone_x);
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float value=cos_interp(a,b,zone_y);
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return value;
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}
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static inline float perlin_octave_3d(float x,float y, float z,int width, int seed, float period)
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{
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float freq=1/(float)(period);
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int num=(int)(width*freq);
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int step_x=(int)(x*freq);
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int step_y=(int)(y*freq);
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int step_z=(int)(z*freq);
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float zone_x=x*freq-step_x;
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float zone_y=y*freq-step_y;
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float zone_z=z*freq-step_z;
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int boxB=step_x+step_y+step_z*num;
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int boxC=step_x+step_y+step_z*(num+1);
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int boxD=step_x+step_y+step_z*(num+2);
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int boxA=step_x+step_y+step_z*(num-1);
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float u,a,b,v,noisedata,box;
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box = boxA;
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noisedata=(box+seed);
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u=cubic_interp(noise(noisedata-num-1),noise(noisedata-num),noise(noisedata-num+1),noise(noisedata-num+2),zone_x);
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a=cubic_interp(noise(noisedata-1),noise(noisedata),noise(noisedata+1),noise(noisedata+2),zone_x);
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b=cubic_interp(noise(noisedata+num -1),noise(noisedata+num),noise(noisedata+1+num),noise(noisedata+2+num),zone_x);
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v=cubic_interp(noise(noisedata+2*num -1),noise(noisedata+2*num),noise(noisedata+1+2*num),noise(noisedata+2+2*num),zone_x);
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float A=cubic_interp(u,a,b,v,zone_y);
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box = boxB;
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noisedata=(box+seed);
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u=cubic_interp(noise(noisedata-num-1),noise(noisedata-num),noise(noisedata-num+1),noise(noisedata-num+2),zone_x);
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a=cubic_interp(noise(noisedata-1),noise(noisedata),noise(noisedata+1),noise(noisedata+2),zone_x);
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b=cubic_interp(noise(noisedata+num -1),noise(noisedata+num),noise(noisedata+1+num),noise(noisedata+2+num),zone_x);
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v=cubic_interp(noise(noisedata+2*num -1),noise(noisedata+2*num),noise(noisedata+1+2*num),noise(noisedata+2+2*num),zone_x);
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float B=cubic_interp(u,a,b,v,zone_y);
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box = boxC;
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noisedata=(box+seed);
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u=cubic_interp(noise(noisedata-num-1),noise(noisedata-num),noise(noisedata-num+1),noise(noisedata-num+2),zone_x);
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a=cubic_interp(noise(noisedata-1),noise(noisedata),noise(noisedata+1),noise(noisedata+2),zone_x);
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b=cubic_interp(noise(noisedata+num -1),noise(noisedata+num),noise(noisedata+1+num),noise(noisedata+2+num),zone_x);
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v=cubic_interp(noise(noisedata+2*num -1),noise(noisedata+2*num),noise(noisedata+1+2*num),noise(noisedata+2+2*num),zone_x);
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float C=cubic_interp(u,a,b,v,zone_y);
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box = boxD;
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noisedata=(box+seed);
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u=cubic_interp(noise(noisedata-num-1),noise(noisedata-num),noise(noisedata-num+1),noise(noisedata-num+2),zone_x);
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a=cubic_interp(noise(noisedata-1),noise(noisedata),noise(noisedata+1),noise(noisedata+2),zone_x);
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b=cubic_interp(noise(noisedata+num -1),noise(noisedata+num),noise(noisedata+1+num),noise(noisedata+2+num),zone_x);
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v=cubic_interp(noise(noisedata+2*num -1),noise(noisedata+2*num),noise(noisedata+1+2*num),noise(noisedata+2+2*num),zone_x);
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float D=cubic_interp(u,a,b,v,zone_y);
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float value =cubic_interp(A,B,C,D,zone_z);
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return value;
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}
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static inline float perlin_noise_2d(int x, int y, int width, int octaves, int seed, float persistance, float basePeriod)
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{
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float p = persistance;
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float val = 0.0;
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for (int i = 0; i<octaves;i++)
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{
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val += perlin_octave_2d_cos(x,y,width,seed,basePeriod) * p;
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basePeriod *= 0.5;
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p *= persistance;
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}
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return val;
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}
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static inline float perlin_noise_3d(int x, int y, int z, int width, int octaves, int seed, float persistance, float basePeriod)
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{
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float p = persistance;
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float val = 0.0;
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for (int i = 0; i<octaves;i++)
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{
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val += perlin_octave_3d(x,y,z,width,seed,basePeriod) * p;
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basePeriod *= 0.5;
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p *= persistance;
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}
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return val;
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}
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};
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#endif /* PERLINNOISE_HPP_ */
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