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/* |
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* This file is part of Deliantra, the Roguelike Realtime MMORPG. |
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* |
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* Copyright (©) 2010 Marc Alexander Lehmann / Robin Redeker / the Deliantra team |
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* |
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* Deliantra is free software: you can redistribute it and/or modify it under |
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* the terms of the Affero GNU General Public License as published by the |
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* Free Software Foundation, either version 3 of the License, or (at your |
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* option) any later version. |
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* |
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* This program is distributed in the hope that it will be useful, |
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* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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* GNU General Public License for more details. |
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* |
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* You should have received a copy of the Affero GNU General Public License |
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* and the GNU General Public License along with this program. If not, see |
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* <http://www.gnu.org/licenses/>. |
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* |
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* The authors can be reached via e-mail to <support@deliantra.net> |
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*/ |
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|
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#include "noise.h" |
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|
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///////////////////////////////////////////////////////////////////////////// |
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|
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noise2d::noise2d (uint32_t seed) |
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{ |
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seedable_rand_gen rng (seed); |
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|
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for (int i = 0; i < 256; ++i) |
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{ |
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for (int j = 0; j < 2; ++j) |
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rvec [i][j] = rng () - 0.5f; |
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|
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// normalise |
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float mag = 1.f / sqrtf (rvec [i][0] * rvec [i][0] + rvec [i][1] * rvec [i][1]); |
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|
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rvec [i][0] *= mag; |
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rvec [i][1] *= mag; |
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} |
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|
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rvmap [0].seed (rng); |
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rvmap [1].seed (rng); |
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} |
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|
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float |
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noise2d::noise (float x, float y) |
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{ |
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int ix = floorf (x); float fx = x - ix; |
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int iy = floorf (y); float fy = y - iy; |
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|
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float v = 0; |
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|
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for (int j = -1; j <= 2; ++j) |
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for (int i = -1; i <= 2; ++i) |
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{ |
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float Ax = fx - i; |
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float Ay = fy - j; |
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|
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float d = Ax * Ax + Ay * Ay; |
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|
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if (d < 4) |
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{ |
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int h = rvmap [0](ix + i) ^ rvmap [1](iy + j); |
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float *G = rvec [h & 0xff]; |
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|
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float t1 = 1 - d / 4; |
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float t2 = t1 * t1; |
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float t4 = t2 * t2; |
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|
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float p = (4 * t1 - 3) * t4; |
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v += (Ax * G[0] + Ay * G[1]) * p; |
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} |
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} |
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|
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return clamp (v * 2, -.9999999f, .9999999f); |
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} |
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|
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#if 0||ABSTRACTION_PENALTY_IS_GONE |
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float |
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noise2d::noise (float x, float y) |
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{ |
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vec2d X = vec2d (x, y); |
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gen_vec<2,int> I = floor (X); |
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vec2d F = X - I; |
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|
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float v = 0; |
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|
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for (int j = -1; j <= 2; ++j) |
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for (int i = -1; i <= 2; ++i) |
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{ |
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vec2d A = F - vec2d (i, j); |
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|
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float d = A * A; |
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|
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if (d < 4) |
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{ |
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int h = rvmap [0](I[0] + i) ^ rvmap [1](I[1] + j); |
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float *G = rvec [h & 0xff]; |
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|
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float t1 = 1 - d / 4; |
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float t2 = t1 * t1; |
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float t4 = t2 * t2; |
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|
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float p = (4 * t1 - 3) * t4; |
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v += A * vec2d (G[0], G[1]) * p; |
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} |
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} |
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|
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return clamp (v * 2, -.9999999f, .9999999f); |
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} |
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#endif |
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|
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///////////////////////////////////////////////////////////////////////////// |
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|
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noise3d::noise3d (uint32_t seed) |
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{ |
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seedable_rand_gen rng (seed); |
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|
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for (int i = 0; i < 256; ++i) |
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{ |
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for (int j = 0; j < 3; ++j) |
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rvec [i][j] = rng () - 0.5f; |
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|
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// normalise |
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float mag = 1.f / sqrtf (rvec [i][0] * rvec [i][0] |
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+ rvec [i][1] * rvec [i][1] |
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+ rvec [i][2] * rvec [i][2]); |
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|
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rvec [i][0] *= mag; |
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rvec [i][1] *= mag; |
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rvec [i][2] *= mag; |
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} |
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|
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rvmap [0].seed (rng); |
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rvmap [1].seed (rng); |
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rvmap [2].seed (rng); |
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} |
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|
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float |
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noise3d::noise (float x, float y, float z) |
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{ |
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int ix = floorf (x); float fx = x - ix; |
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int iy = floorf (y); float fy = y - iy; |
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int iz = floorf (z); float fz = z - iz; |
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|
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float v = 0; |
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|
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for (int j = -1; j <= 2; ++j) |
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for (int i = -1; i <= 2; ++i) |
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for (int k = -1; k <= 2; ++k) |
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{ |
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float Ax = fx - i; |
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float Ay = fy - j; |
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float Az = fz - k; |
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|
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float d = Ax * Ax + Ay * Ay + Az * Az; |
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|
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if (d < 4) |
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{ |
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int h = rvmap [0](ix + i) ^ rvmap [1](iy + j) ^ rvmap [2](iz + k); |
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float *G = rvec [h & 0xff]; |
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|
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float t1 = 1 - d / 4; |
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float t2 = t1 * t1; |
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float t4 = t2 * t2; |
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|
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// (4t⁵ - 3t⁴) |
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float p = (4 * t1 - 3) * t4; |
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v += (Ax * G[0] + Ay * G[1] + Az * G[2]) * p; |
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} |
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} |
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|
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return clamp (v * 2, -.9999999f, .9999999f); |
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} |
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|
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float |
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noise3d::noise (float x, float y, float z, float nx, float ny, float nz) |
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{ |
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int ix = floorf (x); float fx = x - ix; |
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int iy = floorf (y); float fy = y - iy; |
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int iz = floorf (z); float fz = z - iz; |
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|
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float v = 0; |
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|
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for (int j = -1; j <= 2; ++j) |
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for (int i = -1; i <= 2; ++i) |
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for (int k = -1; k <= 2; ++k) |
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{ |
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float Dx = fx - i; |
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float Dy = fy - j; |
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float Dz = fz - k; |
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|
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float e = Dx * nx + Dy * ny + Dz * nz; |
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|
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float o = 1 - abs (e); |
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|
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if (o > 0) |
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{ |
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float Ax = Dx - e * nx; |
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float Ay = Dy - e * ny; |
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float Az = Dz - e * nz; |
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|
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float d = Ax * Ax + Ay * Ay + Az * Az; |
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|
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if (d < 4) |
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{ |
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int h = rvmap [0](ix + i) ^ rvmap [1](iy + j) ^ rvmap [2](iz + k); |
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float *G = rvec [h & 0xff]; |
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|
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float t1 = 1 - d / 4; |
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float t2 = t1 * t1; |
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float t4 = t2 * t2; |
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|
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float o2 = o * o; |
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|
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// (4t⁵ - 3t⁴) * (3o³ - 2o²) |
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float p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
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v += (Ax * G[0] + Ay * G[1] + Az * G[2]) * p; |
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} |
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} |
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} |
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|
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return clamp (v * 2, -.9999999f, .9999999f); |
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} |
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|
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frac_gen::frac_gen (float hurst_expo, float lacunarity) |
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: h (hurst_expo), lac (lacunarity), noise2d (0) |
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{ |
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float exsum = 0; |
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|
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for (int i = 0; i < MAX_OCTAVES; ++i) |
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{ |
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ex [i] = powf (lac, -h * i); |
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exsum += ex [i]; |
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fbm_mul [i] = 0.5f / (exsum * 0.75f); // .75f is a heuristic |
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rot [i].set (0.4488f * i); |
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} |
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} |
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|
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float |
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frac_gen::fBm (float x, float y, int octaves) |
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{ |
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float v = 0.f; |
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|
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for (int i = 0; i < octaves; ++i) |
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{ |
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rot [i](x, y); |
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|
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v += noise (x + i, y) * ex [i]; |
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|
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x *= lac; |
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y *= lac; |
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} |
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|
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return clamp (v * fbm_mul [octaves - 1] + 0.5f, 0.f, .9999999f); |
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} |
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|
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float |
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frac_gen::turbulence (float x, float y, int octaves) |
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{ |
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float v = 0.f; |
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|
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for (int i = 0; i < octaves; ++i) |
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{ |
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rot [i](x, y); |
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|
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v += fabsf (noise (x + i, y)) * ex [i]; |
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|
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x *= lac; |
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y *= lac; |
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} |
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|
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return clamp (v * fbm_mul [octaves - 1] * 2.f, 0.f, .9999999f); |
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} |
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|
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float |
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frac_gen::multifractal (float x, float y, int octaves, float offset) |
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{ |
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float v = 1.f; |
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|
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for (int i = 0; i < octaves; ++i) |
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{ |
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rot [i](x, y); |
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|
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v *= noise (x, y) * ex [i] + offset; |
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|
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x *= lac; |
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y *= lac; |
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} |
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|
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return clamp (v * 0.5f, 0.f, .9999999f); |
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} |
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|
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float |
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frac_gen::heterofractal (float x, float y, int octaves, float offset) |
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{ |
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float v = noise (x, y) + offset; |
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int i; |
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|
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for (i = 1; i < octaves; ++i) |
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{ |
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rot [i](x, y); |
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|
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x *= lac; |
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y *= lac; |
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|
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v += v * (noise (x, y) * ex [i] + offset); |
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} |
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|
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return v / powf (2., octaves); |
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} |
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|
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float |
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frac_gen::hybridfractal (float x, float y, int octaves, float offset, float gain) |
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{ |
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float v = (noise (x, y) + offset) * ex [0]; |
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float weight = v; |
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int i; |
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|
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for (i = 1; i < octaves; ++i) |
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{ |
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rot [i](x, y); |
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|
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x *= lac; |
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y *= lac; |
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|
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min_it (weight, 1.f); |
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|
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float sig = (noise (x, y) + offset) * ex [i]; |
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v += weight * sig; |
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weight *= gain * sig; |
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} |
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|
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return clamp (v * 0.5f + 0.5f, 0.f, .9999999f); |
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} |
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|
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// http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
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float |
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frac_gen::terrain (float x, float y, int octaves) |
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{ |
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float v = 0.f; |
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|
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for (int i = 0; i < octaves; ++i) |
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{ |
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rot[i] (x, y); |
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|
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v += noise (x + i, y) * ex [i]; |
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|
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x *= lac; |
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y *= lac; |
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} |
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|
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v *= fbm_mul [octaves - 1]; |
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|
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return v <= 0.f ? - powf (-v, 0.7f) : powf (v, 1. + noise (x, y) * v); |
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} |
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|
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float |
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frac_gen::terrain2 (float x, float y, int octaves) |
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{ |
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float a = fBm (x, y, octaves); |
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float b = ridgedmultifractal (x, y, octaves, 1, 8); |
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float fade = fBm (x + 10.3, y + 10.3, octaves); |
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|
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const float width = 0.05f; |
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|
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if (fade > 0.5f + width) |
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return a; |
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else if (fade < 0.5f - width) |
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return b; |
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|
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fade = (fade - 0.5f + width) / (width * 2); |
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|
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// sigmoidal curve |
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fade = fade * fade * 2 * (1.5f - fade); |
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|
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return a * fade + b * (1 - fade); |
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} |
| 381 |
|
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float |
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frac_gen::ridgedmultifractal (float x, float y, int octaves, float offset, float gain) |
| 384 |
{ |
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float sig = offset - fabsf (noise (x, y)); |
| 386 |
sig *= sig; |
| 387 |
float v = sig; |
| 388 |
|
| 389 |
for (int i = 1; i < octaves; ++i) |
| 390 |
{ |
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rot [i](x, y); |
| 392 |
|
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x *= lac; |
| 394 |
y *= lac; |
| 395 |
|
| 396 |
float w = clamp (sig * gain, 0.f, 1.f); |
| 397 |
|
| 398 |
sig = offset - fabsf (noise (x, y)); |
| 399 |
sig *= sig; |
| 400 |
sig *= w; |
| 401 |
|
| 402 |
v += sig * ex [i]; |
| 403 |
} |
| 404 |
|
| 405 |
return clamp (v * 0.25f, 0.f, .9999999f); |
| 406 |
} |
| 407 |
|
| 408 |
#if 0 |
| 409 |
void hack() |
| 410 |
{ |
| 411 |
frac_gen gen (0.5, 2); |
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noise3d n(0); |
| 413 |
|
| 414 |
#if 0 |
| 415 |
int N = 1024; |
| 416 |
|
| 417 |
printf ("P6 %d %d 255\n", N, N); |
| 418 |
// pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
| 419 |
for (int y = 0; y < N; ++y) |
| 420 |
{ |
| 421 |
if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
| 422 |
for (int x = 0; x < N; ++x) |
| 423 |
{ |
| 424 |
putc (128 + 128 * n.noise (x * 0.04 + 0.2, y * 0.04 + 0.2), stdout); |
| 425 |
putc (128 + 128 * n.noise (x * 0.04 + 0.2, y * 0.08 + 0.2), stdout); |
| 426 |
putc (128 + 128 * n.noise (x * 0.08 + 0.2, y * 0.04 + 0.2), stdout); |
| 427 |
//putc (256 * gen.terrain2 (x * 0.004, y * 0.004, 8), stdout); |
| 428 |
//putc (256 * gen.fBm (x * 0.001, y * 0.001, 3), stdout); |
| 429 |
//putc (256 * gen.turbulence (x * 0.004 - 1, y * 0.004 - 1, 8), stdout); |
| 430 |
//putc (256 * gen.heterofractal (x * 0.008, y * 0.008, 8, -1.1, 2.0), stdout); |
| 431 |
//putc (256 * gen.ridgedmultifractal (x * 0.001, y * 0.001, 32, 1.001, 32), stdout); |
| 432 |
} |
| 433 |
} |
| 434 |
#else |
| 435 |
int N = 128; |
| 436 |
|
| 437 |
//printf ("P6 %d %d 255\n", N, N); |
| 438 |
// pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
| 439 |
for (int z = 0; z < N; ++z) |
| 440 |
{ |
| 441 |
if (!(z&4))fprintf (stderr, "z %d\n", z);//D |
| 442 |
for (int y = 0; y < N; ++y) |
| 443 |
for (int x = 0; x < N; ++x) |
| 444 |
{ |
| 445 |
float v = n.noise (x * 0.06 + 0.2, y * 0.06 + 0.2, z * 0.06 + 0.2) * 0.5 + 0.5; |
| 446 |
|
| 447 |
if (z < 64) |
| 448 |
v = v * (z * z) / (64 * 64); |
| 449 |
|
| 450 |
if (v <= 0.1) |
| 451 |
continue; |
| 452 |
|
| 453 |
float r[4]; |
| 454 |
int i[4]; |
| 455 |
|
| 456 |
r[0] = x; |
| 457 |
r[1] = y; |
| 458 |
r[2] = z; |
| 459 |
r[3] = v; |
| 460 |
|
| 461 |
memcpy (i, r, 16); |
| 462 |
|
| 463 |
i[0] = htonl (i[0]); |
| 464 |
i[1] = htonl (i[1]); |
| 465 |
i[2] = htonl (i[2]); |
| 466 |
i[3] = htonl (i[3]); |
| 467 |
|
| 468 |
fwrite (i, 4*4, 1, stdout); |
| 469 |
} |
| 470 |
} |
| 471 |
#endif |
| 472 |
|
| 473 |
exit (0); |
| 474 |
} |
| 475 |
#endif |
