package com.thealgorithms.others;
import java.util.Random;
import java.util.Scanner;
/**
* For detailed info and implementation see: <a
* href="http://devmag.org.za/2009/04/25/perlin-noise/">Perlin-Noise</a>
*/
public class PerlinNoise {
/**
* @param width width of noise array
* @param height height of noise array
* @param octaveCount numbers of layers used for blending noise
* @param persistence value of impact each layer get while blending
* @param seed used for randomizer
* @return float array containing calculated "Perlin-Noise" values
*/
static float[][] generatePerlinNoise(
int width,
int height,
int octaveCount,
float persistence,
long seed
) {
final float[][] base = new float[width][height];
final float[][] perlinNoise = new float[width][height];
final float[][][] noiseLayers = new float[octaveCount][][];
Random random = new Random(seed);
// fill base array with random values as base for noise
for (int x = 0; x < width; x++) {
for (int y = 0; y < height; y++) {
base[x][y] = random.nextFloat();
}
}
// calculate octaves with different roughness
for (int octave = 0; octave < octaveCount; octave++) {
noiseLayers[octave] =
generatePerlinNoiseLayer(base, width, height, octave);
}
float amplitude = 1f;
float totalAmplitude = 0f;
// calculate perlin noise by blending each layer together with specific persistence
for (int octave = octaveCount - 1; octave >= 0; octave--) {
amplitude *= persistence;
totalAmplitude += amplitude;
for (int x = 0; x < width; x++) {
for (int y = 0; y < height; y++) {
// adding each value of the noise layer to the noise
// by increasing amplitude the rougher noises will have more impact
perlinNoise[x][y] += noiseLayers[octave][x][y] * amplitude;
}
}
}
// normalize values so that they stay between 0..1
for (int x = 0; x < width; x++) {
for (int y = 0; y < height; y++) {
perlinNoise[x][y] /= totalAmplitude;
}
}
return perlinNoise;
}
/**
* @param base base random float array
* @param width width of noise array
* @param height height of noise array
* @param octave current layer
* @return float array containing calculated "Perlin-Noise-Layer" values
*/
static float[][] generatePerlinNoiseLayer(
float[][] base,
int width,
int height,
int octave
) {
float[][] perlinNoiseLayer = new float[width][height];
// calculate period (wavelength) for different shapes
int period = 1 << octave; // 2^k
float frequency = 1f / period; // 1/2^k
for (int x = 0; x < width; x++) {
// calculates the horizontal sampling indices
int x0 = (x / period) * period;
int x1 = (x0 + period) % width;
float horizintalBlend = (x - x0) * frequency;
for (int y = 0; y < height; y++) {
// calculates the vertical sampling indices
int y0 = (y / period) * period;
int y1 = (y0 + period) % height;
float verticalBlend = (y - y0) * frequency;
// blend top corners
float top = interpolate(
base[x0][y0],
base[x1][y0],
horizintalBlend
);
// blend bottom corners
float bottom = interpolate(
base[x0][y1],
base[x1][y1],
horizintalBlend
);
// blend top and bottom interpolation to get the final blend value for this cell
perlinNoiseLayer[x][y] =
interpolate(top, bottom, verticalBlend);
}
}
return perlinNoiseLayer;
}
/**
* @param a value of point a
* @param b value of point b
* @param alpha determine which value has more impact (closer to 0 -> a,
* closer to 1 -> b)
* @return interpolated value
*/
static float interpolate(float a, float b, float alpha) {
return a * (1 - alpha) + alpha * b;
}
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
final int width;
final int height;
final int octaveCount;
final float persistence;
final long seed;
final String charset;
final float[][] perlinNoise;
System.out.println("Width (int): ");
width = in.nextInt();
System.out.println("Height (int): ");
height = in.nextInt();
System.out.println("Octave count (int): ");
octaveCount = in.nextInt();
System.out.println("Persistence (float): ");
persistence = in.nextFloat();
System.out.println("Seed (long): ");
seed = in.nextLong();
System.out.println("Charset (String): ");
charset = in.next();
perlinNoise =
generatePerlinNoise(width, height, octaveCount, persistence, seed);
final char[] chars = charset.toCharArray();
final int length = chars.length;
final float step = 1f / length;
// output based on charset
for (int x = 0; x < width; x++) {
for (int y = 0; y < height; y++) {
float value = step;
float noiseValue = perlinNoise[x][y];
for (char c : chars) {
if (noiseValue <= value) {
System.out.print(c);
break;
}
value += step;
}
}
System.out.println();
}
in.close();
}
}