/* * Copyright 2014 MovingBlocks * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ package org.terasology.utilities.procedural; import com.google.common.math.IntMath; import org.terasology.math.geom.Rect2i; import org.terasology.math.Region3i; import org.terasology.math.TeraMath; import org.terasology.math.geom.Vector2f; import org.terasology.math.geom.Vector2i; import org.terasology.math.geom.Vector3f; import org.terasology.math.geom.Vector3i; /** */ public class SubSampledNoise extends AbstractNoise { private Noise source; private Vector3f zoom = new Vector3f(1, 1, 1); private int sampleRate = 1; /** * @param source the source noise generator * @param zoom the zoom factor for x, y (z will be 1) * @param sampleRate the sampling rate of the noise */ public SubSampledNoise(Noise source, Vector2f zoom, int sampleRate) { this(source, new Vector3f(zoom.x, zoom.y, 1), sampleRate); } public SubSampledNoise(Noise source, Vector3f zoom, int sampleRate) { this.source = source; this.zoom.set(zoom); this.sampleRate = sampleRate; } @Override public float noise(float x, float y) { float xMod = TeraMath.modulus(x, sampleRate); float yMod = TeraMath.modulus(y, sampleRate); float x0 = x - xMod; float x1 = x0 + sampleRate; float y0 = y - yMod; float y1 = y0 + sampleRate; float q00 = source.noise(x0 * zoom.x, y0 * zoom.y); float q10 = source.noise(x1 * zoom.x, y0 * zoom.y); float q01 = source.noise(x0 * zoom.x, y1 * zoom.y); float q11 = source.noise(x1 * zoom.x, y1 * zoom.y); return TeraMath.biLerp(q00, q10, q01, q11, xMod / sampleRate, yMod / sampleRate); } public float[] noise(Rect2i region) { Rect2i fullRegion = determineRequiredRegion(region); float[] keyData = getKeyValues(fullRegion); float[] fullData = mapExpand(keyData, fullRegion); return getSubset(fullData, fullRegion, region); } private float[] getSubset(float[] fullData, Rect2i fullRegion, Rect2i subRegion) { if (subRegion.sizeX() != fullRegion.sizeX() || subRegion.sizeY() != fullRegion.sizeY()) { float[] result = new float[subRegion.sizeX() * subRegion.sizeY()]; Vector2i offset = new Vector2i(subRegion.minX() - fullRegion.minX(), subRegion.minY() - fullRegion.minY()); for (int y = 0; y < subRegion.sizeY(); ++y) { System.arraycopy(fullData, offset.getX() + fullRegion.sizeX() * (y + offset.getY()), result, subRegion.sizeX() * y, subRegion.sizeX()); } return result; } else { return fullData; } } private float[] mapExpand(float[] keyData, Rect2i fullRegion) { float[] fullData = new float[fullRegion.sizeX() * fullRegion.sizeY()]; int samplesX = fullRegion.sizeX() / sampleRate + 1; int samplesY = fullRegion.sizeY() / sampleRate + 1; for (int y = 0; y < samplesY - 1; y++) { for (int x = 0; x < samplesX - 1; x++) { float q11 = keyData[x + y * samplesX]; float q21 = keyData[x + 1 + y * samplesX]; float q12 = keyData[x + (y + 1) * samplesX]; float q22 = keyData[(x + 1) + (y + 1) * samplesX]; for (int innerY = 0; innerY < sampleRate; ++innerY) { for (int innerX = 0; innerX < sampleRate; ++innerX) { fullData[x * sampleRate + innerX + fullRegion.sizeX() * (y * sampleRate + innerY)] = TeraMath.biLerp(q11, q21, q12, q22, (float) innerX / sampleRate, (float) innerY / sampleRate); } } } } return fullData; } private float[] getKeyValues(Rect2i fullRegion) { int xDim = fullRegion.sizeX() / sampleRate + 1; int yDim = fullRegion.sizeY() / sampleRate + 1; float[] fullData = new float[xDim * yDim]; for (int y = 0; y < yDim; y++) { for (int x = 0; x < xDim; x++) { int actualX = x * sampleRate + fullRegion.minX(); int actualY = y * sampleRate + fullRegion.minY(); fullData[x + y * xDim] = source.noise(zoom.x * actualX, zoom.y * actualY); } } return fullData; } private Rect2i determineRequiredRegion(Rect2i region) { int newMinX = region.minX() - IntMath.mod(region.minX(), sampleRate); int newMinY = region.minY() - IntMath.mod(region.minY(), sampleRate); int newMaxX = region.maxX() + 4 - IntMath.mod(region.maxX(), sampleRate) - 1; int newMaxY = region.maxY() + 4 - IntMath.mod(region.maxY(), sampleRate) - 1; return Rect2i.createFromMinAndMax(newMinX, newMinY, newMaxX, newMaxY); } @Override public float noise(float x, float y, float z) { float xMod = TeraMath.modulus(x, sampleRate); float yMod = TeraMath.modulus(y, sampleRate); float zMod = TeraMath.modulus(z, sampleRate); float x0 = x - xMod; float x1 = x0 + sampleRate; float y0 = y - yMod; float y1 = y0 + sampleRate; float z0 = z - zMod; float z1 = z0 + sampleRate; float q000 = source.noise(x0 * zoom.x, y0 * zoom.y, z0 * zoom.z); float q100 = source.noise(x1 * zoom.x, y0 * zoom.y, z0 * zoom.z); float q010 = source.noise(x0 * zoom.x, y1 * zoom.y, z0 * zoom.z); float q110 = source.noise(x1 * zoom.x, y1 * zoom.y, z0 * zoom.z); float q001 = source.noise(x0 * zoom.x, y0 * zoom.y, z1 * zoom.z); float q101 = source.noise(x1 * zoom.x, y0 * zoom.y, z1 * zoom.z); float q011 = source.noise(x0 * zoom.x, y1 * zoom.y, z1 * zoom.z); float q111 = source.noise(x1 * zoom.x, y1 * zoom.y, z1 * zoom.z); return TeraMath.triLerp(q000, q100, q010, q110, q001, q101, q011, q111, xMod / sampleRate, yMod / sampleRate, zMod / sampleRate); } public float[] noise(Region3i region) { Region3i fullRegion = determineRequiredRegion(region); float[] keyData = getKeyValues(fullRegion); float[] fullData = mapExpand(keyData, fullRegion); return getSubset(fullData, fullRegion, region); } private float[] getSubset(float[] fullData, Region3i fullRegion, Region3i subRegion) { if (subRegion.sizeX() != fullRegion.sizeX() || subRegion.sizeY() != fullRegion.sizeY() || subRegion.sizeZ() != fullRegion.sizeZ()) { float[] result = new float[subRegion.sizeX() * subRegion.sizeY() * subRegion.sizeZ()]; Vector3i offset = new Vector3i(subRegion.minX() - fullRegion.minX(), subRegion.minY() - fullRegion.minY(), subRegion.minZ() - fullRegion.minZ()); for (int z = 0; z < subRegion.sizeZ(); ++z) { for (int y = 0; y < subRegion.sizeY(); ++y) { System.arraycopy(fullData, offset.x + fullRegion.sizeX() * (y + offset.y + fullRegion.sizeY() * (z + offset.z)), result, subRegion.sizeX() * (y + subRegion.sizeY() * z), subRegion.sizeX()); } } return result; } else { return fullData; } } private float[] mapExpand(float[] keyData, Region3i fullRegion) { float[] fullData = new float[fullRegion.sizeX() * fullRegion.sizeY() * fullRegion.sizeZ()]; int samplesX = fullRegion.sizeX() / sampleRate + 1; int samplesY = fullRegion.sizeY() / sampleRate + 1; int samplesZ = fullRegion.sizeZ() / sampleRate + 1; for (int z = 0; z < samplesZ - 1; z++) { for (int y = 0; y < samplesY - 1; y++) { for (int x = 0; x < samplesX - 1; x++) { float q000 = keyData[x + samplesX * (y + samplesY * z)]; float q100 = keyData[x + 1 + samplesX * (y + samplesY * z)]; float q010 = keyData[x + samplesX * (y + 1 + samplesY * z)]; float q110 = keyData[(x + 1) + samplesX * (y + 1 + samplesY * z)]; float q001 = keyData[x + samplesX * (y + samplesY * (z + 1))]; float q101 = keyData[x + 1 + samplesX * (y + samplesY * (z + 1))]; float q011 = keyData[x + samplesX * (y + 1 + samplesY * (z + 1))]; float q111 = keyData[(x + 1) + samplesX * (y + 1 + samplesY * (z + 1))]; for (int innerZ = 0; innerZ < sampleRate; ++innerZ) { for (int innerY = 0; innerY < sampleRate; ++innerY) { for (int innerX = 0; innerX < sampleRate; ++innerX) { fullData[x * sampleRate + innerX + fullRegion.sizeX() * (y * sampleRate + innerY + fullRegion.sizeY() * (z * sampleRate + innerZ))] = TeraMath.triLerp(q000, q100, q010, q110, q001, q101, q011, q111, (float) innerX / sampleRate, (float) innerY / sampleRate, (float) innerZ / sampleRate); } } } } } } return fullData; } private float[] getKeyValues(Region3i fullRegion) { int xDim = fullRegion.sizeX() / sampleRate + 1; int yDim = fullRegion.sizeY() / sampleRate + 1; int zDim = fullRegion.sizeZ() / sampleRate + 1; float[] fullData = new float[xDim * yDim * zDim]; for (int z = 0; z < zDim; z++) { for (int y = 0; y < yDim; y++) { for (int x = 0; x < xDim; x++) { int actualX = x * sampleRate + fullRegion.minX(); int actualY = y * sampleRate + fullRegion.minY(); int actualZ = z * sampleRate + fullRegion.minZ(); fullData[x + xDim * (y + yDim * z)] = source.noise(zoom.x * actualX, zoom.y * actualY, zoom.z * actualZ); } } } return fullData; } private Region3i determineRequiredRegion(Region3i region) { int newMinX = region.minX() - IntMath.mod(region.minX(), sampleRate); int newMinY = region.minY() - IntMath.mod(region.minY(), sampleRate); int newMinZ = region.minZ() - IntMath.mod(region.minZ(), sampleRate); int newMaxX = region.maxX() + 4 - IntMath.mod(region.maxX(), sampleRate) - 1; int newMaxY = region.maxY() + 4 - IntMath.mod(region.maxY(), sampleRate) - 1; int newMaxZ = region.maxZ() + 4 - IntMath.mod(region.maxZ(), sampleRate) - 1; return Region3i.createFromMinMax(new Vector3i(newMinX, newMinY, newMinZ), new Vector3i(newMaxX, newMaxY, newMaxZ)); } }