server/include/noise.h

/*
 * This file is part of Deliantra, the Roguelike Realtime MMORPG.
 *
 * Copyright (©) 2010,2011,2012,2013,2014,2015,2016 Marc Alexander Lehmann / Robin Redeker / the Deliantra team
 *
 * Deliantra is free software: you can redistribute it and/or modify it under
 * the terms of the Affero GNU General Public License as published by the
 * Free Software Foundation, either version 3 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 Affero GNU General Public License
 * and the GNU General Public License along with this program. If not, see
 * <http://www.gnu.org/licenses/>.
 *
 * The authors can be reached via e-mail to <support@deliantra.net>
 */

#ifndef NOISE_H_
#define NOISE_H_

#if 0 // blitz++0.09
#include <string.h> // workaround for tinyvec using memcpy without including string.h
#include <cstdlib> // workaround for tinyvec using labs without including cstdlib
#include <blitz/tinyvec.h>
#include <blitz/tinyvec-et.h>
typedef blitz::TinyVector<float,2> vec2d;
typedef blitz::TinyVector<float,3> vec3d;
#else

// blitz++ 0.10 - not working
#include <blitz/array.h>
#include <blitz/tinyvec2.h>
#include <blitz/tinyvec2.cc>

template<typename T, int length>
struct vecnd
: blitz::TinyVector<T, length>
{
  static const int numElements = length;
  using blitz::TinyVector<T, length>::TinyVector;
};

typedef vecnd<float,2> vec2d;
typedef vecnd<float,3> vec3d;

#endif

#include "global.h"

vec2d
inline floor (vec2d v)
{
  return vec2d (fastfloor (v[0]), fastfloor (v[1]));
}

vec3d
inline floor (vec3d v)
{
  return vec3d (fastfloor (v[0]), fastfloor (v[1]), fastfloor (v[2]));
}

vec2d
inline pow (vec2d v, vec2d p)
{
  return vec2d (pow (v[0], p[0]), pow (v[1], p[1]));
}

/////////////////////////////////////////////////////////////////////////////

// various s-shaped curves, smooth to, first, or second derivative
// used for smooth interpolation from 0..1

// linear
template<typename T>
inline T
sigmoid0 (T x)
{
  return x;
}

// 3x²-2x³
template<typename T>
inline T
sigmoid1 (T x)
{
  return (3 - 2 * x) * x * x;
}

// 6x⁵ - 15x⁴ + 10x³
template<typename T>
inline T
sigmoid2 (T x)
{
#ifdef MORE_PARALLELITY
  float x2 = x  * x;
  float x4 = x2 * x2;

  return (6 * x4 + 10 * x2) * x - 15 * x4;
#endif

  // simple horner
  return ((6 * x - 15) * x + 10) * x * x * x;
}

// blend between a and b
// c is the control function - if lower than ca
// then return a, if higher than cb, return b
template<typename T, typename U>
inline T
blend (T a, T b, U c, U ca, U cb, U weight (U) = sigmoid1)
{
  if (c <= ca) return a;
  if (c >= cb) return b;

  U w = weight ((c - ca) / (cb - ca));
  return (U(1) - w) * a + w * b;
}

// blend between a and b
// c is the control function - if lower than -c_w
// then return a, if higher than +c_w then b.
template<typename T, typename U>
inline T
blend0 (T a, T b, U c, U c_w, U weight (U) = sigmoid1)
{
  return blend<T,U> (a, b, c, -c_w, c_w, weight);
}

template<class vec_t, int a, int b>
struct rotate_nn
{
  typename vec_t::T_numtype s, c;

  void set (typename vec_t::T_numtype angle)
  {
    s = sin (angle);
    c = cos (angle);
  }

  void operator ()(vec_t &P) const
  {
    vec_t o = P;

    P[a] = o[a] * c - o[b] * s;
    P[b] = o[a] * s + o[b] * c;
  }
};

template<class vec_t>
struct rotate_xy : rotate_nn<vec_t, 0, 1>
{
};

template<class vec_t>
struct rotate_xz : rotate_nn<vec_t, 0, 2>
{
};

template<class vec_t>
struct rotate_yz : rotate_nn<vec_t, 1, 2>
{
};

/////////////////////////////////////////////////////////////////////////////

template< int N, typename T>
struct permutation
{
  T pmap[N];

  void seed (seedable_rand_gen &rng);

  ecb_pure T operator ()(T v)
  {
    return pmap[v & T(N - 1)];
  }
};

/////////////////////////////////////////////////////////////////////////////

template<class vec_t>
struct noise_gen_base
{
  permutation<256, uint8_t> rvmap[vec_t::numElements + 1];

  typedef typename vec_t::T_numtype value_t;

  void seed (seedable_rand_gen &rng);
  void seed (seed_t seed);

  ecb_pure value_t operator ()(vec_t P, uint32_t seed = 0);
};

template<class vec_t>
struct noise_gen;

// modelled after 2d/3d kensler noise without projection
template<>
struct noise_gen<vec2d>
: noise_gen_base<vec2d>
{
  static value_t abs_avg() { return 0.2231; } // avg(abs(noise))
};

template<>
struct noise_gen<vec3d>
: noise_gen_base<vec3d>
{
  static vec3d::T_numtype abs_avg() { return 0.415; } // avg(abs(noise))

  using noise_gen_base<vec3d>::operator ();

  // noise projected on a surface with normal n
  ecb_pure vec2d::T_numtype operator() (vec3d P, vec3d N, uint32_t seed = 0);
};

typedef noise_gen<vec2d> noise2d;
typedef noise_gen<vec3d> noise3d;

/////////////////////////////////////////////////////////////////////////////

template<class vec_t>
struct frac_gen
: noise_gen<vec_t>
{
  enum { MAX_OCTAVES = 32 };

  typedef typename vec_t::T_numtype value_t;

  int octaves;
  value_t h, lac, ex[MAX_OCTAVES];
  value_t fbm_mul[MAX_OCTAVES];
  rotate_xy<vec_t> rot[MAX_OCTAVES];

  frac_gen (int octaves = 3, value_t lacunarity = 2, value_t hurst_expo = .5, uint32_t seed = 0);

  ecb_pure value_t noise (vec_t P, uint32_t seed = 0)
  {
    return this->operator() (P, seed);
  }

  ecb_pure value_t fBm (vec_t P);
  ecb_pure value_t turbulence (vec_t P);
  ecb_pure value_t multifractal (vec_t P, value_t offset = 1);
  ecb_pure value_t heterofractal (vec_t P, value_t offset = 1);
  ecb_pure value_t hybridfractal (vec_t P, value_t offset = 1, value_t gain = 1);
  ecb_pure value_t ridgedmultifractal (vec_t P, value_t offset = 1, value_t gain = 8);
  ecb_pure value_t billowfractal (vec_t P, value_t offset = 1, value_t gain = 2);
  ecb_pure value_t terrain (vec_t P);
  ecb_pure value_t terrain2 (vec_t P);
};

typedef frac_gen<vec2d> frac2d;
typedef frac_gen<vec3d> frac3d;

/////////////////////////////////////////////////////////////////////////////

template<typename T, typename U>
inline T
border_blend (T a, T b, vec2d P, U N, U W)
{
  U border = W; // within n places of the border

  min_it (border,     P [0]);
  min_it (border, N - P [0]);
  min_it (border,     P [1]);
  min_it (border, N - P [1]);

  return blend (a, b, border, U(0), W);
}

#endif

Revision:	1.21
Committed:	Sat Nov 17 23:33:18 2018 UTC (5 years, 6 months ago) by root
Content type:	text/plain
Branch:	MAIN
Changes since 1.20:	+13 -13 lines
Log Message:	* empty log message *
#	User	Rev	Content
1	root	1.1	/*
2			* This file is part of Deliantra, the Roguelike Realtime MMORPG.
3	root	1.15	*
4	root	1.20	* Copyright (©) 2010,2011,2012,2013,2014,2015,2016 Marc Alexander Lehmann / Robin Redeker / the Deliantra team
5	root	1.15	*
6	root	1.1	* 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
8			* Free Software Foundation, either version 3 of the License, or (at your
9			* option) any later version.
10	root	1.15	*
11	root	1.1	* This program is distributed in the hope that it will be useful,
12			* but WITHOUT ANY WARRANTY; without even the implied warranty of
13			* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14			* GNU General Public License for more details.
15	root	1.15	*
16	root	1.1	* 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
18			* <http://www.gnu.org/licenses/>.
19	root	1.15	*
20	root	1.1	* The authors can be reached via e-mail to <support@deliantra.net>
21			*/
22
23			#ifndef NOISE_H_
24			#define NOISE_H_
25
26	root	1.19	#if 0 // blitz++0.09
27	root	1.17	#include <string.h> // workaround for tinyvec using memcpy without including string.h
28	root	1.18	#include <cstdlib> // workaround for tinyvec using labs without including cstdlib
29	root	1.5	#include <blitz/tinyvec.h>
30			#include <blitz/tinyvec-et.h>
31	root	1.19	typedef blitz::TinyVector<float,2> vec2d;
32			typedef blitz::TinyVector<float,3> vec3d;
33	root	1.18	#else
34	root	1.19
35	root	1.18	// blitz++ 0.10 - not working
36			#include <blitz/array.h>
37			#include <blitz/tinyvec2.h>
38	root	1.19	#include <blitz/tinyvec2.cc>
39
40			template<typename T, int length>
41			struct vecnd
42			: blitz::TinyVector<T, length>
43			{
44			static const int numElements = length;
45			using blitz::TinyVector<T, length>::TinyVector;
46			};
47
48			typedef vecnd<float,2> vec2d;
49			typedef vecnd<float,3> vec3d;
50
51	root	1.18	#endif
52	root	1.5
53	root	1.1	#include "global.h"
54
55	root	1.10	vec2d
56			inline floor (vec2d v)
57			{
58			return vec2d (fastfloor (v[0]), fastfloor (v[1]));
59			}
60
61			vec3d
62			inline floor (vec3d v)
63			{
64			return vec3d (fastfloor (v[0]), fastfloor (v[1]), fastfloor (v[2]));
65			}
66
67			vec2d
68			inline pow (vec2d v, vec2d p)
69			{
70			return vec2d (pow (v[0], p[0]), pow (v[1], p[1]));
71			}
72
73			/////////////////////////////////////////////////////////////////////////////
74
75			// various s-shaped curves, smooth to, first, or second derivative
76			// used for smooth interpolation from 0..1
77
78			// linear
79			template<typename T>
80			inline T
81			sigmoid0 (T x)
82			{
83			return x;
84			}
85
86			// 3x²-2x³
87			template<typename T>
88			inline T
89			sigmoid1 (T x)
90			{
91			return (3 - 2 * x) * x * x;
92			}
93
94			// 6x⁵ - 15x⁴ + 10x³
95			template<typename T>
96			inline T
97			sigmoid2 (T x)
98			{
99			#ifdef MORE_PARALLELITY
100			float x2 = x * x;
101			float x4 = x2 * x2;
102
103			return (6 * x4 + 10 * x2) * x - 15 * x4;
104			#endif
105
106			// simple horner
107			return ((6 * x - 15) * x + 10) * x * x * x;
108			}
109
110			// blend between a and b
111			// c is the control function - if lower than ca
112			// then return a, if higher than cb, return b
113			template<typename T, typename U>
114			inline T
115			blend (T a, T b, U c, U ca, U cb, U weight (U) = sigmoid1)
116			{
117			if (c <= ca) return a;
118			if (c >= cb) return b;
119
120			U w = weight ((c - ca) / (cb - ca));
121			return (U(1) - w) * a + w * b;
122			}
123
124			// blend between a and b
125			// c is the control function - if lower than -c_w
126			// then return a, if higher than +c_w then b.
127			template<typename T, typename U>
128			inline T
129			blend0 (T a, T b, U c, U c_w, U weight (U) = sigmoid1)
130			{
131			return blend<T,U> (a, b, c, -c_w, c_w, weight);
132			}
133
134	root	1.9	template<class vec_t, int a, int b>
135			struct rotate_nn
136			{
137			typename vec_t::T_numtype s, c;
138
139			void set (typename vec_t::T_numtype angle)
140			{
141			s = sin (angle);
142			c = cos (angle);
143			}
144
145			void operator ()(vec_t &P) const
146			{
147			vec_t o = P;
148
149			P[a] = o[a] * c - o[b] * s;
150			P[b] = o[a] * s + o[b] * c;
151			}
152			};
153
154			template<class vec_t>
155			struct rotate_xy : rotate_nn<vec_t, 0, 1>
156			{
157			};
158
159			template<class vec_t>
160			struct rotate_xz : rotate_nn<vec_t, 0, 2>
161			{
162			};
163
164			template<class vec_t>
165			struct rotate_yz : rotate_nn<vec_t, 1, 2>
166			{
167			};
168
169	root	1.3	/////////////////////////////////////////////////////////////////////////////
170
171	root	1.11	template< int N, typename T>
172	root	1.1	struct permutation
173			{
174	root	1.5	T pmap[N];
175	root	1.1
176	root	1.9	void seed (seedable_rand_gen &rng);
177	root	1.1
178	root	1.21	ecb_pure T operator ()(T v)
179	root	1.1	{
180	root	1.11	return pmap[v & T(N - 1)];
181	root	1.1	}
182			};
183
184	root	1.9	/////////////////////////////////////////////////////////////////////////////
185
186			template<class vec_t>
187			struct noise_gen_base
188			{
189	root	1.11	permutation<256, uint8_t> rvmap[vec_t::numElements + 1];
190	root	1.9
191	root	1.10	typedef typename vec_t::T_numtype value_t;
192
193	root	1.9	void seed (seedable_rand_gen &rng);
194			void seed (seed_t seed);
195
196	root	1.21	ecb_pure value_t operator ()(vec_t P, uint32_t seed = 0);
197	root	1.9	};
198
199	root	1.5	template<class vec_t>
200			struct noise_gen;
201
202	root	1.3	// modelled after 2d/3d kensler noise without projection
203	root	1.5	template<>
204			struct noise_gen<vec2d>
205	root	1.9	: noise_gen_base<vec2d>
206	root	1.1	{
207	root	1.10	static value_t abs_avg() { return 0.2231; } // avg(abs(noise))
208	root	1.1	};
209
210	root	1.5	template<>
211			struct noise_gen<vec3d>
212	root	1.9	: noise_gen_base<vec3d>
213	root	1.3	{
214	root	1.8	static vec3d::T_numtype abs_avg() { return 0.415; } // avg(abs(noise))
215
216	root	1.9	using noise_gen_base<vec3d>::operator ();
217	root	1.3
218			// noise projected on a surface with normal n
219	root	1.21	ecb_pure vec2d::T_numtype operator() (vec3d P, vec3d N, uint32_t seed = 0);
220	root	1.5	};
221
222	root	1.10	typedef noise_gen<vec2d> noise2d;
223			typedef noise_gen<vec3d> noise3d;
224
225			/////////////////////////////////////////////////////////////////////////////
226	root	1.5
227			template<class vec_t>
228	root	1.1	struct frac_gen
229	root	1.5	: noise_gen<vec_t>
230	root	1.1	{
231	root	1.8	enum { MAX_OCTAVES = 32 };
232	root	1.1
233	root	1.5	typedef typename vec_t::T_numtype value_t;
234
235	root	1.10	int octaves;
236	root	1.5	value_t h, lac, ex[MAX_OCTAVES];
237			value_t fbm_mul[MAX_OCTAVES];
238			rotate_xy<vec_t> rot[MAX_OCTAVES];
239
240	root	1.10	frac_gen (int octaves = 3, value_t lacunarity = 2, value_t hurst_expo = .5, uint32_t seed = 0);
241	root	1.9
242	root	1.21	ecb_pure value_t noise (vec_t P, uint32_t seed = 0)
243	root	1.5	{
244	root	1.17	return this->operator() (P, seed);
245	root	1.5	}
246
247	root	1.21	ecb_pure value_t fBm (vec_t P);
248			ecb_pure value_t turbulence (vec_t P);
249			ecb_pure value_t multifractal (vec_t P, value_t offset = 1);
250			ecb_pure value_t heterofractal (vec_t P, value_t offset = 1);
251			ecb_pure value_t hybridfractal (vec_t P, value_t offset = 1, value_t gain = 1);
252			ecb_pure value_t ridgedmultifractal (vec_t P, value_t offset = 1, value_t gain = 8);
253			ecb_pure value_t billowfractal (vec_t P, value_t offset = 1, value_t gain = 2);
254			ecb_pure value_t terrain (vec_t P);
255			ecb_pure value_t terrain2 (vec_t P);
256	root	1.1	};
257
258	root	1.10	typedef frac_gen<vec2d> frac2d;
259			typedef frac_gen<vec3d> frac3d;
260
261	root	1.12	/////////////////////////////////////////////////////////////////////////////
262
263			template<typename T, typename U>
264	root	1.13	inline T
265			border_blend (T a, T b, vec2d P, U N, U W)
266	root	1.12	{
267			U border = W; // within n places of the border
268
269			min_it (border, P [0]);
270			min_it (border, N - P [0]);
271			min_it (border, P [1]);
272			min_it (border, N - P [1]);
273
274	root	1.13	return blend (a, b, border, U(0), W);
275	root	1.12	}
276
277	root	1.1	#endif
278	root	1.5