blender/intern/cycles/kernel/osl/nodes/node_musgrave_texture.osl

/*
 * Copyright 2011, Blender Foundation.
 *
 * 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 "stdosl.h"
#include "node_texture.h"

/* Musgrave fBm
 *
 * H: fractal increment parameter
 * lacunarity: gap between successive frequencies
 * octaves: number of frequencies in the fBm
 *
 * from "Texturing and Modelling: A procedural approach"
 */

float noise_musgrave_fBm(point p, string basis, float H, float lacunarity, float octaves)
{
	float rmd;
	float value = 0.0;
	float pwr = 1.0;
	float pwHL = pow(lacunarity, -H);
	int i;

	for(i = 0; i < (int)octaves; i++) {
		value += noise_basis(p, basis) * pwr;
		pwr *= pwHL;
		p *= lacunarity;
	}

	rmd = octaves - floor(octaves);
	if(rmd != 0.0)
		value += rmd * noise_basis(p, basis) * pwr;

	return value;
}

/* Musgrave Multifractal
 *
 * H: highest fractal dimension
 * lacunarity: gap between successive frequencies
 * octaves: number of frequencies in the fBm
 */

float noise_musgrave_multi_fractal(point p, string basis, float H, float lacunarity, float octaves)
{
	float rmd;
	float value = 1.0;
	float pwr = 1.0;
	float pwHL = pow(lacunarity, -H);
	int i;

	for(i = 0; i < (int)octaves; i++) {
		value *= (pwr * noise_basis(p, basis) + 1.0);
		pwr *= pwHL;
		p *= lacunarity;
	}

	rmd = octaves - floor(octaves);
	if(rmd != 0.0)
		value *= (rmd * pwr * noise_basis(p, basis) + 1.0); /* correct? */

	return value;
}

/* Musgrave Heterogeneous Terrain
 *
 * H: fractal dimension of the roughest area
 * lacunarity: gap between successive frequencies
 * octaves: number of frequencies in the fBm
 * offset: raises the terrain from `sea level'
 */

float noise_musgrave_hetero_terrain(point p, string basis, float H, float lacunarity, float octaves, float offset)
{
	float value, increment, rmd;
	float pwHL = pow(lacunarity, -H);
	float pwr = pwHL;
	int i;

	/* first unscaled octave of function; later octaves are scaled */
	value = offset + noise_basis(p, basis);
	p *= lacunarity;

	for(i = 1; i < (int)octaves; i++) {
		increment = (noise_basis(p, basis) + offset) * pwr * value;
		value += increment;
		pwr *= pwHL;
		p *= lacunarity;
	}

	rmd = octaves - floor(octaves);
	if(rmd != 0.0) {
		increment = (noise_basis(p, basis) + offset) * pwr * value;
		value += rmd * increment;
	}

	return value;
}

/* Hybrid Additive/Multiplicative Multifractal Terrain
 *
 * H: fractal dimension of the roughest area
 * lacunarity: gap between successive frequencies
 * octaves: number of frequencies in the fBm
 * offset: raises the terrain from `sea level'
 */

float noise_musgrave_hybrid_multi_fractal(point p, string basis, float H, float lacunarity, float octaves, float offset, float gain)
{
	float result, signal, weight, rmd;
	float pwHL = pow(lacunarity, -H);
	float pwr = pwHL;
	int i;

	result = noise_basis(p, basis) + offset;
	weight = gain * result;
	p *= lacunarity;

	for(i = 1; (weight > 0.001) && (i < (int)octaves); i++) {
		if(weight > 1.0)
			weight = 1.0;

		signal = (noise_basis(p, basis) + offset) * pwr;
		pwr *= pwHL;
		result += weight * signal;
		weight *= gain * signal;
		p *= lacunarity;
	}

	rmd = octaves - floor(octaves);
	if(rmd != 0.0)
		result += rmd * ((noise_basis(p, basis) + offset) * pwr);

	return result;
}

/* Ridged Multifractal Terrain
 *
 * H: fractal dimension of the roughest area
 * lacunarity: gap between successive frequencies
 * octaves: number of frequencies in the fBm
 * offset: raises the terrain from `sea level'
 */

float noise_musgrave_ridged_multi_fractal(point p, string basis, float H, float lacunarity, float octaves, float offset, float gain)
{
	float result, signal, weight;
	float pwHL = pow(lacunarity, -H);
	float pwr = pwHL;
	int i;

	signal = offset - fabs(noise_basis(p, basis));
	signal *= signal;
	result = signal;
	weight = 1.0;

	for(i = 1; i < (int)octaves; i++) {
		p *= lacunarity;
		weight = clamp(signal * gain, 0.0, 1.0);
		signal = offset - fabs(noise_basis(p, basis));
		signal *= signal;
		signal *= weight;
		result += signal * pwr;
		pwr *= pwHL;
	}

	return result;
}

/* Shader */

shader node_musgrave_texture(
	string Type = "fBM",
	string Basis = "Perlin",
	float Dimension = 2.0,
	float Lacunarity = 1.0,
	float Octaves = 2.0,
	float Offset = 0.0,
	float Intensity = 1.0,
	float Gain = 1.0,
	float Size = 0.25,
	point Vector = P,
	output float Fac = 0.0)
{
	float dimension = max(Dimension, 0.0);
	float octaves = max(Octaves, 0.0);
	float lacunarity = max(Lacunarity, 1e-5);
	float size = nonzero(Size, 1e-5);

	point p = Vector/size;

	if(Type == "Multifractal")
		Fac = Intensity*noise_musgrave_multi_fractal(p, Basis, dimension, lacunarity, octaves);
	else if(Type == "fBM")
		Fac = Intensity*noise_musgrave_fBm(p, Basis, dimension, lacunarity, octaves);
	else if(Type == "Hybrid Multifractal")
		Fac = Intensity*noise_musgrave_hybrid_multi_fractal(p, Basis, dimension, lacunarity, octaves, Offset, Gain);
	else if(Type == "Ridged Multifractal")
		Fac = Intensity*noise_musgrave_ridged_multi_fractal(p, Basis, dimension, lacunarity, octaves, Offset, Gain);
	else if(Type == "Hetero Terrain")
		Fac = Intensity*noise_musgrave_hetero_terrain(p, Basis, dimension, lacunarity, octaves, Offset);
}