/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│ │vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi│ ╞══════════════════════════════════════════════════════════════════════════════╡ │ Copyright 2020 Justine Alexandra Roberts Tunney │ │ │ │ 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; version 2 of the License. │ │ │ │ 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 "libc/bits/bits.h" #include "libc/macros.h" #include "libc/math.h" #include "tool/viz/lib/graphic.h" static int perm[513]; static double lerp(double t, double a, double b) { return a + t * (b - a); } static double fade(double t) { return t * t * t * (t * (t * 6.0 - 15.0) + 10.0); } static double grad(int hash, double x, double y, double z) { int h; double u, v; h = hash & 15; u = h < 8 ? x : y; v = h < 4 ? y : (h == 12 || h == 14) ? x : z; return ((h & 1) ? -u : u) + ((h & 2) ? -v : v); } /** * Perlin's improved noise algorithm. * * @see http://mrl.nyu.edu/~perlin/noise/ * @note it's bryce3d cgi basically */ double perlin3(double x, double y, double z) /* clang-format off */ { double u, v, w; int X, Y, Z, AA, AB, BA, BB; X = floor(x); Y = floor(y); Z = floor(z); X &= 0xff; Y &= 0xff; Z &= 0xff; x -= floor(x); y -= floor(y); z -= floor(z); u = fade(x); v = fade(y); w = fade(z); AA = perm[perm[X ] + Y ] + Z; AB = perm[perm[X ] + Y + 1] + Z; BA = perm[perm[X + 1] + Y ] + Z; BB = perm[perm[X + 1] + Y + 1] + Z; return lerp(w, lerp(v, lerp(u, grad(perm[AA ], x , y , z ), grad(perm[BA ], x - 1, y , z )), lerp(u, grad(perm[AB ], x , y - 1, z ), grad(perm[BB ], x - 1, y - 1, z ))), lerp(v, lerp(u, grad(perm[AA + 1], x , y , z - 1), grad(perm[BA + 1], x - 1, y , z - 1)), lerp(u, grad(perm[AB + 1], x , y - 1, z - 1), grad(perm[BB + 1], x - 1, y - 1, z - 1)))); } /* clang-format on */ static const uint8_t kPerm[] = { 151, 160, 137, 91, 90, 15, 131, 13, 201, 95, 96, 53, 194, 233, 7, 225, 140, 36, 103, 30, 69, 142, 8, 99, 37, 240, 21, 10, 23, 190, 6, 148, 247, 120, 234, 75, 0, 26, 197, 62, 94, 252, 219, 203, 117, 35, 11, 32, 57, 177, 33, 88, 237, 149, 56, 87, 174, 20, 125, 136, 171, 168, 68, 175, 74, 165, 71, 134, 139, 48, 27, 166, 77, 146, 158, 231, 83, 111, 229, 122, 60, 211, 133, 230, 220, 105, 92, 41, 55, 46, 245, 40, 244, 102, 143, 54, 65, 25, 63, 161, 1, 216, 80, 73, 209, 76, 132, 187, 208, 89, 18, 169, 200, 196, 135, 130, 116, 188, 159, 86, 164, 100, 109, 198, 173, 186, 3, 64, 52, 217, 226, 250, 124, 123, 5, 202, 38, 147, 118, 126, 255, 82, 85, 212, 207, 206, 59, 227, 47, 16, 58, 17, 182, 189, 28, 42, 223, 183, 170, 213, 119, 248, 152, 2, 44, 154, 163, 70, 221, 153, 101, 155, 167, 43, 172, 9, 129, 22, 39, 253, 19, 98, 108, 110, 79, 113, 224, 232, 178, 185, 112, 104, 218, 246, 97, 228, 251, 34, 242, 193, 238, 210, 144, 12, 191, 179, 162, 241, 81, 51, 145, 235, 249, 14, 239, 107, 49, 192, 214, 31, 181, 199, 106, 157, 184, 84, 204, 176, 115, 121, 50, 45, 127, 4, 150, 254, 138, 236, 205, 93, 222, 114, 67, 29, 24, 72, 243, 141, 128, 195, 78, 66, 215, 61, 156, 180, }; static nooptimize textstartup void init(void) { unsigned i; for (i = 0; i < 256; ++i) { perm[i] = kPerm[i]; perm[i + 256] = kPerm[i]; } } INITIALIZER(400, _init_perlin3, init());