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-rw-r--r--misc/noise.cpp410
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diff --git a/misc/noise.cpp b/misc/noise.cpp
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-/*
-Minetest-c55
-Copyright (C) 2010-2011 celeron55, Perttu Ahola <celeron55@gmail.com>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-*/
-
-#include <math.h>
-#include "noise.h"
-#include <iostream>
-#include "debug.h"
-
-#define NOISE_MAGIC_X 1619
-#define NOISE_MAGIC_Y 31337
-#define NOISE_MAGIC_Z 52591
-#define NOISE_MAGIC_SEED 1013
-
-double cos_lookup[16] = {
- 1.0,0.9238,0.7071,0.3826,0,-0.3826,-0.7071,-0.9238,
- 1.0,-0.9238,-0.7071,-0.3826,0,0.3826,0.7071,0.9238
-};
-
-double dotProduct(double vx, double vy, double wx, double wy){
- return vx*wx+vy*wy;
-}
-
-double easeCurve(double t){
- return 6*pow(t,5)-15*pow(t,4)+10*pow(t,3);
-}
-
-double linearInterpolation(double x0, double x1, double t){
- return x0+(x1-x0)*t;
-}
-
-double biLinearInterpolation(double x0y0, double x1y0, double x0y1, double x1y1, double x, double y){
- double tx = easeCurve(x);
- double ty = easeCurve(y);
- /*double tx = x;
- double ty = y;*/
- double u = linearInterpolation(x0y0,x1y0,tx);
- double v = linearInterpolation(x0y1,x1y1,tx);
- return linearInterpolation(u,v,ty);
-}
-
-double triLinearInterpolation(
- double v000, double v100, double v010, double v110,
- double v001, double v101, double v011, double v111,
- double x, double y, double z)
-{
- /*double tx = easeCurve(x);
- double ty = easeCurve(y);
- double tz = easeCurve(z);*/
- double tx = x;
- double ty = y;
- double tz = z;
- return(
- v000*(1-tx)*(1-ty)*(1-tz) +
- v100*tx*(1-ty)*(1-tz) +
- v010*(1-tx)*ty*(1-tz) +
- v110*tx*ty*(1-tz) +
- v001*(1-tx)*(1-ty)*tz +
- v101*tx*(1-ty)*tz +
- v011*(1-tx)*ty*tz +
- v111*tx*ty*tz
- );
-}
-
-double noise2d(int x, int y, int seed)
-{
- int n = (NOISE_MAGIC_X * x + NOISE_MAGIC_Y * y
- + NOISE_MAGIC_SEED * seed) & 0x7fffffff;
- n = (n>>13)^n;
- n = (n * (n*n*60493+19990303) + 1376312589) & 0x7fffffff;
- return 1.0 - (double)n/1073741824;
-}
-
-double noise3d(int x, int y, int z, int seed)
-{
- int n = (NOISE_MAGIC_X * x + NOISE_MAGIC_Y * y + NOISE_MAGIC_Z * z
- + NOISE_MAGIC_SEED * seed) & 0x7fffffff;
- n = (n>>13)^n;
- n = (n * (n*n*60493+19990303) + 1376312589) & 0x7fffffff;
- return 1.0 - (double)n/1073741824;
-}
-
-#if 0
-double noise2d_gradient(double x, double y, int seed)
-{
- // Calculate the integer coordinates
- int x0 = (x > 0.0 ? (int)x : (int)x - 1);
- int y0 = (y > 0.0 ? (int)y : (int)y - 1);
- // Calculate the remaining part of the coordinates
- double xl = x - (double)x0;
- double yl = y - (double)y0;
- // Calculate random cosine lookup table indices for the integer corners.
- // They are looked up as unit vector gradients from the lookup table.
- int n00 = (int)((noise2d(x0, y0, seed)+1)*8);
- int n10 = (int)((noise2d(x0+1, y0, seed)+1)*8);
- int n01 = (int)((noise2d(x0, y0+1, seed)+1)*8);
- int n11 = (int)((noise2d(x0+1, y0+1, seed)+1)*8);
- // Make a dot product for the gradients and the positions, to get the values
- double s = dotProduct(cos_lookup[n00], cos_lookup[(n00+12)%16], xl, yl);
- double u = dotProduct(-cos_lookup[n10], cos_lookup[(n10+12)%16], 1.-xl, yl);
- double v = dotProduct(cos_lookup[n01], -cos_lookup[(n01+12)%16], xl, 1.-yl);
- double w = dotProduct(-cos_lookup[n11], -cos_lookup[(n11+12)%16], 1.-xl, 1.-yl);
- // Interpolate between the values
- return biLinearInterpolation(s,u,v,w,xl,yl);
-}
-#endif
-
-#if 1
-double noise2d_gradient(double x, double y, int seed)
-{
- // Calculate the integer coordinates
- int x0 = (x > 0.0 ? (int)x : (int)x - 1);
- int y0 = (y > 0.0 ? (int)y : (int)y - 1);
- // Calculate the remaining part of the coordinates
- double xl = x - (double)x0;
- double yl = y - (double)y0;
- // Get values for corners of cube
- double v00 = noise2d(x0, y0, seed);
- double v10 = noise2d(x0+1, y0, seed);
- double v01 = noise2d(x0, y0+1, seed);
- double v11 = noise2d(x0+1, y0+1, seed);
- // Interpolate
- return biLinearInterpolation(v00,v10,v01,v11,xl,yl);
-}
-#endif
-
-double noise3d_gradient(double x, double y, double z, int seed)
-{
- // Calculate the integer coordinates
- int x0 = (x > 0.0 ? (int)x : (int)x - 1);
- int y0 = (y > 0.0 ? (int)y : (int)y - 1);
- int z0 = (z > 0.0 ? (int)z : (int)z - 1);
- // Calculate the remaining part of the coordinates
- double xl = x - (double)x0;
- double yl = y - (double)y0;
- double zl = z - (double)z0;
- // Get values for corners of cube
- double v000 = noise3d(x0, y0, z0, seed);
- double v100 = noise3d(x0+1, y0, z0, seed);
- double v010 = noise3d(x0, y0+1, z0, seed);
- double v110 = noise3d(x0+1, y0+1, z0, seed);
- double v001 = noise3d(x0, y0, z0+1, seed);
- double v101 = noise3d(x0+1, y0, z0+1, seed);
- double v011 = noise3d(x0, y0+1, z0+1, seed);
- double v111 = noise3d(x0+1, y0+1, z0+1, seed);
- // Interpolate
- return triLinearInterpolation(v000,v100,v010,v110,v001,v101,v011,v111,xl,yl,zl);
-}
-
-double noise2d_perlin(double x, double y, int seed,
- int octaves, double persistence)
-{
- double a = 0;
- double f = 1.0;
- double g = 1.0;
- for(int i=0; i<octaves; i++)
- {
- a += g * noise2d_gradient(x*f, y*f, seed+i);
- f *= 2.0;
- g *= persistence;
- }
- return a;
-}
-
-double noise2d_perlin_abs(double x, double y, int seed,
- int octaves, double persistence)
-{
- double a = 0;
- double f = 1.0;
- double g = 1.0;
- for(int i=0; i<octaves; i++)
- {
- a += g * fabs(noise2d_gradient(x*f, y*f, seed+i));
- f *= 2.0;
- g *= persistence;
- }
- return a;
-}
-
-double noise3d_perlin(double x, double y, double z, int seed,
- int octaves, double persistence)
-{
- double a = 0;
- double f = 1.0;
- double g = 1.0;
- for(int i=0; i<octaves; i++)
- {
- a += g * noise3d_gradient(x*f, y*f, z*f, seed+i);
- f *= 2.0;
- g *= persistence;
- }
- return a;
-}
-
-double noise3d_perlin_abs(double x, double y, double z, int seed,
- int octaves, double persistence)
-{
- double a = 0;
- double f = 1.0;
- double g = 1.0;
- for(int i=0; i<octaves; i++)
- {
- a += g * fabs(noise3d_gradient(x*f, y*f, z*f, seed+i));
- f *= 2.0;
- g *= persistence;
- }
- return a;
-}
-
-// -1->0, 0->1, 1->0
-double contour(double v)
-{
- v = fabs(v);
- if(v >= 1.0)
- return 0.0;
- return (1.0-v);
-}
-
-double noise3d_param(const NoiseParams &param, double x, double y, double z)
-{
- double s = param.pos_scale;
- x /= s;
- y /= s;
- z /= s;
-
- if(param.type == NOISE_PERLIN)
- {
- return param.noise_scale*noise3d_perlin(x,y,z, param.seed,
- param.octaves,
- param.persistence);
- }
- else if(param.type == NOISE_PERLIN_ABS)
- {
- return param.noise_scale*noise3d_perlin_abs(x,y,z, param.seed,
- param.octaves,
- param.persistence);
- }
- else if(param.type == NOISE_PERLIN_CONTOUR)
- {
- return contour(param.noise_scale*noise3d_perlin(x,y,z,
- param.seed, param.octaves,
- param.persistence));
- }
- else if(param.type == NOISE_PERLIN_CONTOUR_FLIP_YZ)
- {
- return contour(param.noise_scale*noise3d_perlin(x,z,y,
- param.seed, param.octaves,
- param.persistence));
- }
- else assert(0);
-}
-
-/*
- NoiseBuffer
-*/
-
-NoiseBuffer::NoiseBuffer():
- m_data(NULL)
-{
-}
-
-NoiseBuffer::~NoiseBuffer()
-{
- clear();
-}
-
-void NoiseBuffer::clear()
-{
- if(m_data)
- delete[] m_data;
- m_data = NULL;
- m_size_x = 0;
- m_size_y = 0;
- m_size_z = 0;
-}
-
-void NoiseBuffer::create(const NoiseParams &param,
- double first_x, double first_y, double first_z,
- double last_x, double last_y, double last_z,
- double samplelength_x, double samplelength_y, double samplelength_z)
-{
- clear();
-
- m_start_x = first_x - samplelength_x;
- m_start_y = first_y - samplelength_y;
- m_start_z = first_z - samplelength_z;
- m_samplelength_x = samplelength_x;
- m_samplelength_y = samplelength_y;
- m_samplelength_z = samplelength_z;
-
- m_size_x = (last_x - m_start_x)/samplelength_x + 2;
- m_size_y = (last_y - m_start_y)/samplelength_y + 2;
- m_size_z = (last_z - m_start_z)/samplelength_z + 2;
-
- m_data = new double[m_size_x*m_size_y*m_size_z];
-
- for(int x=0; x<m_size_x; x++)
- for(int y=0; y<m_size_y; y++)
- for(int z=0; z<m_size_z; z++)
- {
- double xd = (m_start_x + (double)x*m_samplelength_x);
- double yd = (m_start_y + (double)y*m_samplelength_y);
- double zd = (m_start_z + (double)z*m_samplelength_z);
- double a = noise3d_param(param, xd,yd,zd);
- intSet(x,y,z, a);
- }
-}
-
-void NoiseBuffer::multiply(const NoiseParams &param)
-{
- assert(m_data != NULL);
-
- for(int x=0; x<m_size_x; x++)
- for(int y=0; y<m_size_y; y++)
- for(int z=0; z<m_size_z; z++)
- {
- double xd = (m_start_x + (double)x*m_samplelength_x);
- double yd = (m_start_y + (double)y*m_samplelength_y);
- double zd = (m_start_z + (double)z*m_samplelength_z);
- double a = noise3d_param(param, xd,yd,zd);
- intMultiply(x,y,z, a);
- }
-}
-
-// Deprecated
-void NoiseBuffer::create(int seed, int octaves, double persistence,
- bool abs,
- double first_x, double first_y, double first_z,
- double last_x, double last_y, double last_z,
- double samplelength_x, double samplelength_y, double samplelength_z)
-{
- NoiseParams param;
- param.type = abs ? NOISE_PERLIN_ABS : NOISE_PERLIN;
- param.seed = seed;
- param.octaves = octaves;
- param.persistence = persistence;
-
- create(param, first_x, first_y, first_z,
- last_x, last_y, last_z,
- samplelength_x, samplelength_y, samplelength_z);
-}
-
-void NoiseBuffer::intSet(int x, int y, int z, double d)
-{
- int i = m_size_x*m_size_y*z + m_size_x*y + x;
- assert(i >= 0);
- assert(i < m_size_x*m_size_y*m_size_z);
- m_data[i] = d;
-}
-
-void NoiseBuffer::intMultiply(int x, int y, int z, double d)
-{
- int i = m_size_x*m_size_y*z + m_size_x*y + x;
- assert(i >= 0);
- assert(i < m_size_x*m_size_y*m_size_z);
- m_data[i] = m_data[i] * d;
-}
-
-double NoiseBuffer::intGet(int x, int y, int z)
-{
- int i = m_size_x*m_size_y*z + m_size_x*y + x;
- assert(i >= 0);
- assert(i < m_size_x*m_size_y*m_size_z);
- return m_data[i];
-}
-
-double NoiseBuffer::get(double x, double y, double z)
-{
- x -= m_start_x;
- y -= m_start_y;
- z -= m_start_z;
- x /= m_samplelength_x;
- y /= m_samplelength_y;
- z /= m_samplelength_z;
- // Calculate the integer coordinates
- int x0 = (x > 0.0 ? (int)x : (int)x - 1);
- int y0 = (y > 0.0 ? (int)y : (int)y - 1);
- int z0 = (z > 0.0 ? (int)z : (int)z - 1);
- // Calculate the remaining part of the coordinates
- double xl = x - (double)x0;
- double yl = y - (double)y0;
- double zl = z - (double)z0;
- // Get values for corners of cube
- double v000 = intGet(x0, y0, z0);
- double v100 = intGet(x0+1, y0, z0);
- double v010 = intGet(x0, y0+1, z0);
- double v110 = intGet(x0+1, y0+1, z0);
- double v001 = intGet(x0, y0, z0+1);
- double v101 = intGet(x0+1, y0, z0+1);
- double v011 = intGet(x0, y0+1, z0+1);
- double v111 = intGet(x0+1, y0+1, z0+1);
- // Interpolate
- return triLinearInterpolation(v000,v100,v010,v110,v001,v101,v011,v111,xl,yl,zl);
-}
-
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