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Comparing deliantra/server/include/noise.h (file contents):
Revision 1.6 by root, Sat Apr 23 04:56:49 2011 UTC vs.
Revision 1.17 by root, Wed Nov 28 17:41:45 2012 UTC

1/* 1/*
2 * This file is part of Deliantra, the Roguelike Realtime MMORPG. 2 * This file is part of Deliantra, the Roguelike Realtime MMORPG.
3 * 3 *
4 * Copyright (©) 2010,2011 Marc Alexander Lehmann / Robin Redeker / the Deliantra team 4 * Copyright (©) 2010,2011,2012 Marc Alexander Lehmann / Robin Redeker / the Deliantra team
5 * 5 *
6 * Deliantra is free software: you can redistribute it and/or modify it under 6 * Deliantra is free software: you can redistribute it and/or modify it under
7 * the terms of the Affero GNU General Public License as published by the 7 * the terms of the Affero GNU General Public License as published by the
8 * Free Software Foundation, either version 3 of the License, or (at your 8 * Free Software Foundation, either version 3 of the License, or (at your
9 * option) any later version. 9 * option) any later version.
10 * 10 *
11 * This program is distributed in the hope that it will be useful, 11 * This program is distributed in the hope that it will be useful,
12 * but WITHOUT ANY WARRANTY; without even the implied warranty of 12 * but WITHOUT ANY WARRANTY; without even the implied warranty of
13 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 13 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 * GNU General Public License for more details. 14 * GNU General Public License for more details.
15 * 15 *
16 * You should have received a copy of the Affero GNU General Public License 16 * You should have received a copy of the Affero GNU General Public License
17 * and the GNU General Public License along with this program. If not, see 17 * and the GNU General Public License along with this program. If not, see
18 * <http://www.gnu.org/licenses/>. 18 * <http://www.gnu.org/licenses/>.
19 * 19 *
20 * The authors can be reached via e-mail to <support@deliantra.net> 20 * The authors can be reached via e-mail to <support@deliantra.net>
21 */ 21 */
22 22
23#ifndef NOISE_H_ 23#ifndef NOISE_H_
24#define NOISE_H_ 24#define NOISE_H_
25 25
26#include <string.h> // workaround for tinyvec using memcpy without including string.h
26#include <blitz/tinyvec.h> 27#include <blitz/tinyvec.h>
27#include <blitz/tinyvec-et.h> 28#include <blitz/tinyvec-et.h>
28 29
29#include "global.h" 30#include "global.h"
30 31
31typedef blitz::TinyVector<float,2> vec2d; 32typedef blitz::TinyVector<float,2> vec2d;
32typedef blitz::TinyVector<float,3> vec3d; 33typedef blitz::TinyVector<float,3> vec3d;
33 34
34///////////////////////////////////////////////////////////////////////////// 35vec2d
36inline floor (vec2d v)
37{
38 return vec2d (fastfloor (v[0]), fastfloor (v[1]));
39}
35 40
41vec3d
42inline floor (vec3d v)
43{
44 return vec3d (fastfloor (v[0]), fastfloor (v[1]), fastfloor (v[2]));
45}
46
47vec2d
48inline pow (vec2d v, vec2d p)
49{
50 return vec2d (pow (v[0], p[0]), pow (v[1], p[1]));
51}
52
53/////////////////////////////////////////////////////////////////////////////
54
55// various s-shaped curves, smooth to, first, or second derivative
56// used for smooth interpolation from 0..1
57
58// linear
59template<typename T>
60inline T
61sigmoid0 (T x)
62{
63 return x;
64}
65
66// 3x²-2x³
67template<typename T>
68inline T
69sigmoid1 (T x)
70{
71 return (3 - 2 * x) * x * x;
72}
73
74// 6x⁵ - 15x⁴ + 10x³
75template<typename T>
76inline T
77sigmoid2 (T x)
78{
79#ifdef MORE_PARALLELITY
80 float x2 = x * x;
81 float x4 = x2 * x2;
82
83 return (6 * x4 + 10 * x2) * x - 15 * x4;
84#endif
85
86 // simple horner
87 return ((6 * x - 15) * x + 10) * x * x * x;
88}
89
90// blend between a and b
91// c is the control function - if lower than ca
92// then return a, if higher than cb, return b
93template<typename T, typename U>
94inline T
95blend (T a, T b, U c, U ca, U cb, U weight (U) = sigmoid1)
96{
97 if (c <= ca) return a;
98 if (c >= cb) return b;
99
100 U w = weight ((c - ca) / (cb - ca));
101 return (U(1) - w) * a + w * b;
102}
103
104// blend between a and b
105// c is the control function - if lower than -c_w
106// then return a, if higher than +c_w then b.
107template<typename T, typename U>
108inline T
109blend0 (T a, T b, U c, U c_w, U weight (U) = sigmoid1)
110{
111 return blend<T,U> (a, b, c, -c_w, c_w, weight);
112}
113
114template<class vec_t, int a, int b>
115struct rotate_nn
116{
117 typename vec_t::T_numtype s, c;
118
119 void set (typename vec_t::T_numtype angle)
120 {
121 s = sin (angle);
122 c = cos (angle);
123 }
124
125 void operator ()(vec_t &P) const
126 {
127 vec_t o = P;
128
129 P[a] = o[a] * c - o[b] * s;
130 P[b] = o[a] * s + o[b] * c;
131 }
132};
133
134template<class vec_t>
135struct rotate_xy : rotate_nn<vec_t, 0, 1>
136{
137};
138
139template<class vec_t>
140struct rotate_xz : rotate_nn<vec_t, 0, 2>
141{
142};
143
144template<class vec_t>
145struct rotate_yz : rotate_nn<vec_t, 1, 2>
146{
147};
148
149/////////////////////////////////////////////////////////////////////////////
150
36template<int N, typename T = uint8_t> 151template< int N, typename T>
37struct permutation 152struct permutation
38{ 153{
39 T pmap[N]; 154 T pmap[N];
40 155
41 template<class generator> 156 void seed (seedable_rand_gen &rng);
42 void seed (generator &rng)
43 {
44 for (int i = 0; i < N; ++i)
45 pmap[i] = i;
46 157
47 // fisher-yates to randomly perturb
48 for (int i = N; --i; )
49 ::swap (pmap[i], pmap[rng (i + 1)]);
50 }
51
52 T operator ()(T v) 158 T operator ()(T v) func_pure
53 { 159 {
54 return pmap[v & (N - 1)]; 160 return pmap[v & T(N - 1)];
55 } 161 }
162};
163
164/////////////////////////////////////////////////////////////////////////////
165
166template<class vec_t>
167struct noise_gen_base
168{
169 permutation<256, uint8_t> rvmap[vec_t::numElements + 1];
170
171 typedef typename vec_t::T_numtype value_t;
172
173 void seed (seedable_rand_gen &rng);
174 void seed (seed_t seed);
175
176 value_t operator ()(vec_t P, uint32_t seed = 0) func_pure;
56}; 177};
57 178
58template<class vec_t> 179template<class vec_t>
59struct noise_gen; 180struct noise_gen;
60 181
61// modelled after 2d/3d kensler noise without projection 182// modelled after 2d/3d kensler noise without projection
62template<> 183template<>
63struct noise_gen<vec2d> 184struct noise_gen<vec2d>
185: noise_gen_base<vec2d>
64{ 186{
65 permutation<256, uint8_t> rvmap[2]; 187 static value_t abs_avg() { return 0.2231; } // avg(abs(noise))
66 vec2d rvec[256]; // random unit vectors
67
68 noise_gen<vec2d> (uint32_t seed);
69 vec2d::T_numtype operator() (vec2d P);
70}; 188};
71 189
72template<> 190template<>
73struct noise_gen<vec3d> 191struct noise_gen<vec3d>
192: noise_gen_base<vec3d>
74{ 193{
75 permutation<256, uint8_t> rvmap[3]; 194 static vec3d::T_numtype abs_avg() { return 0.415; } // avg(abs(noise))
76 195
77 noise_gen<vec3d> (uint32_t seed); 196 using noise_gen_base<vec3d>::operator ();
78 vec2d::T_numtype operator() (vec3d P);
79 197
80 // noise projected on a surface with normal n 198 // noise projected on a surface with normal n
81 vec2d::T_numtype operator() (vec3d P, vec3d N); 199 vec2d::T_numtype operator() (vec3d P, vec3d N, uint32_t seed = 0) func_pure;
82}; 200};
83 201
84template<class vec_t, int a, int b> 202typedef noise_gen<vec2d> noise2d;
85struct rotate_nn 203typedef noise_gen<vec3d> noise3d;
86{
87 typename vec_t::T_numtype s, c;
88 204
89 void set (typename vec_t::T_numtype angle) 205/////////////////////////////////////////////////////////////////////////////
90 {
91 s = sin (angle);
92 c = cos (angle);
93 }
94
95 void operator ()(vec_t &P) const
96 {
97 vec_t o = P;
98
99 P[a] = o[a] * c - o[b] * s;
100 P[b] = o[a] * s + o[b] * c;
101 }
102};
103
104template<class vec_t>
105struct rotate_xy : rotate_nn<vec_t, 0, 1>
106{
107};
108
109template<class vec_t>
110struct rotate_xz : rotate_nn<vec_t, 0, 2>
111{
112};
113
114template<class vec_t>
115struct rotate_yz : rotate_nn<vec_t, 1, 2>
116{
117};
118 206
119template<class vec_t> 207template<class vec_t>
120struct frac_gen 208struct frac_gen
121: noise_gen<vec_t> 209: noise_gen<vec_t>
122{ 210{
123 enum { MAX_OCTAVES = 64 }; 211 enum { MAX_OCTAVES = 32 };
124 212
125 typedef typename vec_t::T_numtype value_t; 213 typedef typename vec_t::T_numtype value_t;
126 214
215 int octaves;
127 value_t h, lac, ex[MAX_OCTAVES]; 216 value_t h, lac, ex[MAX_OCTAVES];
128 value_t fbm_mul[MAX_OCTAVES]; 217 value_t fbm_mul[MAX_OCTAVES];
129 rotate_xy<vec_t> rot[MAX_OCTAVES]; 218 rotate_xy<vec_t> rot[MAX_OCTAVES];
130 219
131 value_t noise (vec_t P) 220 frac_gen (int octaves = 3, value_t lacunarity = 2, value_t hurst_expo = .5, uint32_t seed = 0);
221
222 value_t noise (vec_t P, uint32_t seed = 0) func_pure
132 { 223 {
133 return operator() (P); 224 return this->operator() (P, seed);
134 } 225 }
135 226
136 frac_gen (value_t hurst_expo = .5f, value_t lacunarity = 2.f); 227 value_t fBm (vec_t P) func_pure;
137
138 value_t fBm (vec_t P, int octaves);
139 value_t turbulence (vec_t P, int octaves); 228 value_t turbulence (vec_t P) func_pure;
140 value_t multifractal (vec_t P, int octaves, value_t offset = 1); 229 value_t multifractal (vec_t P, value_t offset = 1) func_pure;
141 value_t heterofractal (vec_t P, int octaves, value_t offset = 1); 230 value_t heterofractal (vec_t P, value_t offset = 1) func_pure;
142 value_t hybridfractal (vec_t P, int octaves, value_t offset = 1, value_t gain = 1); 231 value_t hybridfractal (vec_t P, value_t offset = 1, value_t gain = 1) func_pure;
143 value_t terrain (vec_t P, int octaves);
144 value_t terrain2 (vec_t P, int octaves);
145 value_t ridgedmultifractal (vec_t P, int octaves, value_t offset = 1, value_t gain = 8); 232 value_t ridgedmultifractal (vec_t P, value_t offset = 1, value_t gain = 8) func_pure;
233 value_t billowfractal (vec_t P, value_t offset = 1, value_t gain = 2) func_pure;
234 value_t terrain (vec_t P) func_pure;
235 value_t terrain2 (vec_t P) func_pure;
146}; 236};
237
238typedef frac_gen<vec2d> frac2d;
239typedef frac_gen<vec3d> frac3d;
240
241/////////////////////////////////////////////////////////////////////////////
242
243template<typename T, typename U>
244inline T
245border_blend (T a, T b, vec2d P, U N, U W)
246{
247 U border = W; // within n places of the border
248
249 min_it (border, P [0]);
250 min_it (border, N - P [0]);
251 min_it (border, P [1]);
252 min_it (border, N - P [1]);
253
254 return blend (a, b, border, U(0), W);
255}
147 256
148#endif 257#endif
149 258

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