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-//=============================================================================
-//
-// Glagen : a planet sized landscape generator
-// Copyright (C) 2002 Julien Guertault, Hugues Hiegel, Meng-Tih Lam
-//
-// 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., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
-//
-//=============================================================================
-//
-// Glagen : GPL LAndscape GENerator
-//
-// perlin.cc for Glagen : made by Zavie (Julien Guertault)
-//
-// www.glagen.org
-//
-//=============================================================================
-
-// Original implementation fo Perlin noice.
-// It can be found on :
-// http://mrl.nyu.edu/~perlin/doc/oscar.html#noise
-//
-// The 4th dimension noise has been added for our needs
-
-// coherent noise function over 1, 2 or 3 dimensions
-// (copyright Ken Perlin)
-
-#include <stdlib.h>
-#include <math.h>
-#include "data_glagen.hh"
-
-#define B 0x100
-#define BM 0xff
-
-#define N 0x1000
-#define NP 12 /* 2^N */
-#define NM 0xfff
-
-static int p[B + B + 2];
-static float g4[B + B + 2][4];
-static float g3[B + B + 2][3];
-static float g2[B + B + 2][2];
-static float g1[B + B + 2];
-
-#define s_curve(t) ( t * t * (3. - 2. * t) )
-
-#define lerp(t, a, b) ( a + t * (b - a) )
-
-#define setup(i,b0,b1,r0,r1)\
- t = vec[i] + N;\
- b0 = ((int)t) & BM;\
- b1 = (b0+1) & BM;\
- r0 = t - (int)t;\
- r1 = r0 - 1.;
-
-float GLG_Perlin_noise_1D (float arg)
-{
- int bx0, bx1;
- float rx0, rx1;
- float sx;
- float t, u, v;
- float vec[1];
-
- vec[0] = arg;
-
- setup(0, bx0,bx1, rx0,rx1);
-
- sx = s_curve(rx0);
-
- u = rx0 * g1[ p[ bx0 ] ];
- v = rx1 * g1[ p[ bx1 ] ];
-
- return lerp(sx, u, v);
-}
-
-float GLG_Perlin_noise_2D (float vec[2])
-{
- int bx0, bx1;
- int by0, by1;
- int b00, b10, b01, b11;
- float rx0, rx1;
- float ry0, ry1;
- float *q, sx, sy;
- float a, b;
- float t, u, v;
- register int i, j;
-
- setup(0, bx0,bx1, rx0,rx1);
- setup(1, by0,by1, ry0,ry1);
-
- i = p[ bx0 ];
- j = p[ bx1 ];
-
- b00 = p[ i + by0 ];
- b10 = p[ j + by0 ];
- b01 = p[ i + by1 ];
- b11 = p[ j + by1 ];
-
- sx = s_curve(rx0);
- sy = s_curve(ry0);
-
-#define at2(rx,ry) ( rx * q[0] + ry * q[1] )
-
- q = g2[ b00 ] ; u = at2(rx0,ry0);
- q = g2[ b10 ] ; v = at2(rx1,ry0);
- a = lerp(sx, u, v);
-
- q = g2[ b01 ] ; u = at2(rx0,ry1);
- q = g2[ b11 ] ; v = at2(rx1,ry1);
- b = lerp(sx, u, v);
-
- return lerp(sy, a, b);
-}
-
-float GLG_Perlin_noise_3D (float vec[3])
-{
- int bx0, bx1;
- int by0, by1;
- int bz0, bz1;
- int b00, b10, b01, b11;
- float rx0, rx1;
- float ry0, ry1;
- float rz0, rz1;
- float *q, sy, sz;
- float a, b, c, d;
- float t, u, v;
- register int i, j;
-
- setup(0, bx0,bx1, rx0,rx1);
- setup(1, by0,by1, ry0,ry1);
- setup(2, bz0,bz1, rz0,rz1);
-
- i = p[ bx0 ];
- j = p[ bx1 ];
-
- b00 = p[ i + by0 ];
- b10 = p[ j + by0 ];
- b01 = p[ i + by1 ];
- b11 = p[ j + by1 ];
-
- t = s_curve(rx0);
- sy = s_curve(ry0);
- sz = s_curve(rz0);
-
-#define at3(rx,ry,rz) ( rx * q[0] + ry * q[1] + rz * q[2] )
-
- q = g3[ b00 + bz0 ] ; u = at3(rx0,ry0,rz0);
- q = g3[ b10 + bz0 ] ; v = at3(rx1,ry0,rz0);
- a = lerp(t, u, v);
-
- q = g3[ b01 + bz0 ] ; u = at3(rx0,ry1,rz0);
- q = g3[ b11 + bz0 ] ; v = at3(rx1,ry1,rz0);
- b = lerp(t, u, v);
-
- c = lerp(sy, a, b);
-
- q = g3[ b00 + bz1 ] ; u = at3(rx0,ry0,rz1);
- q = g3[ b10 + bz1 ] ; v = at3(rx1,ry0,rz1);
- a = lerp(t, u, v);
-
- q = g3[ b01 + bz1 ] ; u = at3(rx0,ry1,rz1);
- q = g3[ b11 + bz1 ] ; v = at3(rx1,ry1,rz1);
- b = lerp(t, u, v);
-
- d = lerp(sy, a, b);
-
- return lerp(sz, c, d);
-}
-
-float GLG_Perlin_noise_4D (float vec[4])
-{
- int bx0, bx1;
- int by0, by1;
- int bz0, bz1;
- int bt0, bt1;
- register int a0, a1;
- int b00, b10, b01, b11;
- int c000, c001, c010, c011, c100, c101, c110, c111;
- float rx0, rx1;
- float ry0, ry1;
- float rz0, rz1;
- float rt0, rt1;
- float *q, sx, sy, sz, st;
- float a, b, c, d, e, f;
- float t, u, v;
-
- setup(0, bx0,bx1, rx0,rx1);
- setup(1, by0,by1, ry0,ry1);
- setup(2, bz0,bz1, rz0,rz1);
- setup(3, bt0,bt1, rt0,rt1);
-
- a0 = p[ bx0 ];
- a1 = p[ bx1 ];
-
- b00 = p[ a0 + by0 ];
- b10 = p[ a1 + by0 ];
- b01 = p[ a0 + by1 ];
- b11 = p[ a1 + by1 ];
-
- c000 = p[ b00 + bz0 ];
- c100 = p[ b10 + bz0 ];
- c010 = p[ b01 + bz0 ];
- c110 = p[ b11 + bz0 ];
- c001 = p[ b00 + bz1 ];
- c101 = p[ b10 + bz1 ];
- c011 = p[ b01 + bz1 ];
- c111 = p[ b11 + bz1 ];
-
- sx = s_curve(rx0);
- sy = s_curve(ry0);
- sz = s_curve(rz0);
- st = s_curve(rt0);
-
-#define at4(rx, ry, rz, rt) ( rx * q[0] + ry * q[1] + rz * q[2] + rt * q[3])
-
- q = g4[c000 + bt0]; u = at4(rx0, ry0, rz0, rt0);
- q = g4[c100 + bt0]; v = at4(rx1, ry0, rz0, rt0);
- a = lerp(sx, u, v);
-
- q = g4[c010 + bt0]; u = at4(rx0, ry1, rz0, rt0);
- q = g4[c110 + bt0]; v = at4(rx1, ry1, rz0, rt0);
- b = lerp(sx, u, v);
-
- c = lerp (sy, a, b);
-
- q = g4[c001 + bt0]; u = at4(rx0, ry0, rz1, rt0);
- q = g4[c101 + bt0]; v = at4(rx1, ry0, rz1, rt0);
- a = lerp(sx, u, v);
-
- q = g4[c011 + bt0]; u = at4(rx0, ry1, rz1, rt0);
- q = g4[c111 + bt0]; v = at4(rx1, ry1, rz1, rt0);
- b = lerp(sx, u, v);
-
- d = lerp (sy, a, b);
-
-
- e = lerp (sz, c, d);
-
-
- q = g4[c000 + bt1]; u = at4(rx0, ry0, rz0, rt1);
- q = g4[c100 + bt1]; v = at4(rx1, ry0, rz0, rt1);
- a = lerp(sx, u, v);
-
- q = g4[c010 + bt1]; u = at4(rx0, ry1, rz0, rt1);
- q = g4[c110 + bt1]; v = at4(rx1, ry1, rz0, rt1);
- b = lerp(sx, u, v);
-
- c = lerp (sy, a, b);
-
- q = g4[c001 + bt1]; u = at4(rx0, ry0, rz1, rt1);
- q = g4[c101 + bt1]; v = at4(rx1, ry0, rz1, rt1);
- a = lerp(sx, u, v);
-
- q = g4[c011 + bt1]; u = at4(rx0, ry1, rz1, rt1);
- q = g4[c111 + bt1]; v = at4(rx1, ry1, rz1, rt1);
- b = lerp(sx, u, v);
-
- d = lerp (sy, a, b);
-
-
- f = lerp (sz, c, d);
-
-
- return lerp (st, e, f);
-}
-
-static void normalize2 (float v[2])
-{
- float s;
-
- s = sqrtf(v[0] * v[0] + v[1] * v[1]);
- v[0] = v[0] / s;
- v[1] = v[1] / s;
-}
-
-static void normalize3 (float v[3])
-{
- float s;
-
- s = sqrtf(v[0] * v[0] + v[1] * v[1] + v[2] * v[2]);
- v[0] = v[0] / s;
- v[1] = v[1] / s;
- v[2] = v[2] / s;
-}
-
-static void normalize4 (float v[4])
-{
- float s;
-
- s = sqrtf(v[0] * v[0] + v[1] * v[1] + v[2] * v[2] + v[3] * v[3]);
- v[0] = v[0] / s;
- v[1] = v[1] / s;
- v[2] = v[2] / s;
- v[3] = v[3] / s;
-}
-
-void Perlin_init ()
-{
- int i, j, k;
-
- for (i = 0 ; i < B ; i++)
- {
- p[i] = i;
-
- g1[i] = (float)((rand() % (B + B)) - B) / B;
-
- for (j = 0 ; j < 2 ; j++)
- g2[i][j] = (float)((rand() % (B + B)) - B) / B;
- normalize2(g2[i]);
-
- for (j = 0 ; j < 3 ; j++)
- g3[i][j] = (float)((rand() % (B + B)) - B) / B;
- normalize3(g3[i]);
-
- for (j = 0 ; j < 4 ; j++)
- g4[i][j] = (float)((rand() % (B + B)) - B) / B;
- normalize4(g4[i]);
- }
-
- while (--i)
- {
- k = p[i];
- p[i] = p[j = rand() % B];
- p[j] = k;
- }
-
- for (i = 0 ; i < B + 2 ; i++)
- {
- p[B + i] = p[i];
- g1[B + i] = g1[i];
- for (j = 0 ; j < 2 ; j++)
- g2[B + i][j] = g2[i][j];
- for (j = 0 ; j < 3 ; j++)
- g3[B + i][j] = g3[i][j];
- }
-}