server/include/noise.h

/*
 * This file is part of Deliantra, the Roguelike Realtime MMORPG.
 * 
 * Copyright (©) 2010,2011,2012 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_

#include <blitz/tinyvec.h>
#include <blitz/tinyvec-et.h>

#include "global.h"

typedef blitz::TinyVector<float,2> vec2d;
typedef blitz::TinyVector<float,3> vec3d;

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);

  T operator ()(T v) func_pure
  {
    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);

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

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
  vec2d::T_numtype operator() (vec3d P, vec3d N, uint32_t seed = 0) func_pure;
};

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);

  value_t noise (vec_t P, uint32_t seed = 0) func_pure
  {
    return operator() (P, seed);
  }

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

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:	1.14
Committed:	Tue Jan 3 11:25:32 2012 UTC (12 years, 4 months ago) by root
Content type:	text/plain
Branch:	MAIN
Changes since 1.13:	+1 -1 lines
Log Message:	update copyrights to 2012
#	User	Rev	Content
1	root	1.1	/*
2			* This file is part of Deliantra, the Roguelike Realtime MMORPG.
3			*
4	root	1.14	* Copyright (©) 2010,2011,2012 Marc Alexander Lehmann / Robin Redeker / the Deliantra team
5	root	1.1	*
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
8			* Free Software Foundation, either version 3 of the License, or (at your
9			* option) any later version.
10			*
11			* 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			*
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
18			* <http://www.gnu.org/licenses/>.
19			*
20			* 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	1.5	#include <blitz/tinyvec.h>
27			#include <blitz/tinyvec-et.h>
28
29	root	1.1	#include "global.h"
30
31	root	1.5	typedef blitz::TinyVector<float,2> vec2d;
32			typedef blitz::TinyVector<float,3> vec3d;
33	root	1.3
34	root	1.10	vec2d
35			inline floor (vec2d v)
36			{
37			return vec2d (fastfloor (v[0]), fastfloor (v[1]));
38			}
39
40			vec3d
41			inline floor (vec3d v)
42			{
43			return vec3d (fastfloor (v[0]), fastfloor (v[1]), fastfloor (v[2]));
44			}
45
46			vec2d
47			inline pow (vec2d v, vec2d p)
48			{
49			return vec2d (pow (v[0], p[0]), pow (v[1], p[1]));
50			}
51
52			/////////////////////////////////////////////////////////////////////////////
53
54			// various s-shaped curves, smooth to, first, or second derivative
55			// used for smooth interpolation from 0..1
56
57			// linear
58			template<typename T>
59			inline T
60			sigmoid0 (T x)
61			{
62			return x;
63			}
64
65			// 3x²-2x³
66			template<typename T>
67			inline T
68			sigmoid1 (T x)
69			{
70			return (3 - 2 * x) * x * x;
71			}
72
73			// 6x⁵ - 15x⁴ + 10x³
74			template<typename T>
75			inline T
76			sigmoid2 (T x)
77			{
78			#ifdef MORE_PARALLELITY
79			float x2 = x * x;
80			float x4 = x2 * x2;
81
82			return (6 * x4 + 10 * x2) * x - 15 * x4;
83			#endif
84
85			// simple horner
86			return ((6 * x - 15) * x + 10) * x * x * x;
87			}
88
89			// blend between a and b
90			// c is the control function - if lower than ca
91			// then return a, if higher than cb, return b
92			template<typename T, typename U>
93			inline T
94			blend (T a, T b, U c, U ca, U cb, U weight (U) = sigmoid1)
95			{
96			if (c <= ca) return a;
97			if (c >= cb) return b;
98
99			U w = weight ((c - ca) / (cb - ca));
100			return (U(1) - w) * a + w * b;
101			}
102
103			// blend between a and b
104			// c is the control function - if lower than -c_w
105			// then return a, if higher than +c_w then b.
106			template<typename T, typename U>
107			inline T
108			blend0 (T a, T b, U c, U c_w, U weight (U) = sigmoid1)
109			{
110			return blend<T,U> (a, b, c, -c_w, c_w, weight);
111			}
112
113	root	1.9	template<class vec_t, int a, int b>
114			struct rotate_nn
115			{
116			typename vec_t::T_numtype s, c;
117
118			void set (typename vec_t::T_numtype angle)
119			{
120			s = sin (angle);
121			c = cos (angle);
122			}
123
124			void operator ()(vec_t &P) const
125			{
126			vec_t o = P;
127
128			P[a] = o[a] * c - o[b] * s;
129			P[b] = o[a] * s + o[b] * c;
130			}
131			};
132
133			template<class vec_t>
134			struct rotate_xy : rotate_nn<vec_t, 0, 1>
135			{
136			};
137
138			template<class vec_t>
139			struct rotate_xz : rotate_nn<vec_t, 0, 2>
140			{
141			};
142
143			template<class vec_t>
144			struct rotate_yz : rotate_nn<vec_t, 1, 2>
145			{
146			};
147
148	root	1.3	/////////////////////////////////////////////////////////////////////////////
149
150	root	1.11	template< int N, typename T>
151	root	1.1	struct permutation
152			{
153	root	1.5	T pmap[N];
154	root	1.1
155	root	1.9	void seed (seedable_rand_gen &rng);
156	root	1.1
157	root	1.9	T operator ()(T v) func_pure
158	root	1.1	{
159	root	1.11	return pmap[v & T(N - 1)];
160	root	1.1	}
161			};
162
163	root	1.9	/////////////////////////////////////////////////////////////////////////////
164
165			template<class vec_t>
166			struct noise_gen_base
167			{
168	root	1.11	permutation<256, uint8_t> rvmap[vec_t::numElements + 1];
169	root	1.9
170	root	1.10	typedef typename vec_t::T_numtype value_t;
171
172	root	1.9	void seed (seedable_rand_gen &rng);
173			void seed (seed_t seed);
174
175	root	1.10	value_t operator ()(vec_t P, uint32_t seed = 0) func_pure;
176	root	1.9	};
177
178	root	1.5	template<class vec_t>
179			struct noise_gen;
180
181	root	1.3	// modelled after 2d/3d kensler noise without projection
182	root	1.5	template<>
183			struct noise_gen<vec2d>
184	root	1.9	: noise_gen_base<vec2d>
185	root	1.1	{
186	root	1.10	static value_t abs_avg() { return 0.2231; } // avg(abs(noise))
187	root	1.1	};
188
189	root	1.5	template<>
190			struct noise_gen<vec3d>
191	root	1.9	: noise_gen_base<vec3d>
192	root	1.3	{
193	root	1.8	static vec3d::T_numtype abs_avg() { return 0.415; } // avg(abs(noise))
194
195	root	1.9	using noise_gen_base<vec3d>::operator ();
196	root	1.3
197			// noise projected on a surface with normal n
198	root	1.10	vec2d::T_numtype operator() (vec3d P, vec3d N, uint32_t seed = 0) func_pure;
199	root	1.5	};
200
201	root	1.10	typedef noise_gen<vec2d> noise2d;
202			typedef noise_gen<vec3d> noise3d;
203
204			/////////////////////////////////////////////////////////////////////////////
205	root	1.5
206			template<class vec_t>
207	root	1.1	struct frac_gen
208	root	1.5	: noise_gen<vec_t>
209	root	1.1	{
210	root	1.8	enum { MAX_OCTAVES = 32 };
211	root	1.1
212	root	1.5	typedef typename vec_t::T_numtype value_t;
213
214	root	1.10	int octaves;
215	root	1.5	value_t h, lac, ex[MAX_OCTAVES];
216			value_t fbm_mul[MAX_OCTAVES];
217			rotate_xy<vec_t> rot[MAX_OCTAVES];
218
219	root	1.10	frac_gen (int octaves = 3, value_t lacunarity = 2, value_t hurst_expo = .5, uint32_t seed = 0);
220	root	1.9
221	root	1.10	value_t noise (vec_t P, uint32_t seed = 0) func_pure
222	root	1.5	{
223	root	1.10	return operator() (P, seed);
224	root	1.5	}
225
226	root	1.10	value_t fBm (vec_t P) func_pure;
227			value_t turbulence (vec_t P) func_pure;
228			value_t multifractal (vec_t P, value_t offset = 1) func_pure;
229			value_t heterofractal (vec_t P, value_t offset = 1) func_pure;
230			value_t hybridfractal (vec_t P, value_t offset = 1, value_t gain = 1) func_pure;
231			value_t ridgedmultifractal (vec_t P, value_t offset = 1, value_t gain = 8) func_pure;
232			value_t billowfractal (vec_t P, value_t offset = 1, value_t gain = 2) func_pure;
233			value_t terrain (vec_t P) func_pure;
234			value_t terrain2 (vec_t P) func_pure;
235	root	1.1	};
236
237	root	1.10	typedef frac_gen<vec2d> frac2d;
238			typedef frac_gen<vec3d> frac3d;
239
240	root	1.12	/////////////////////////////////////////////////////////////////////////////
241
242			template<typename T, typename U>
243	root	1.13	inline T
244			border_blend (T a, T b, vec2d P, U N, U W)
245	root	1.12	{
246			U border = W; // within n places of the border
247
248			min_it (border, P [0]);
249			min_it (border, N - P [0]);
250			min_it (border, P [1]);
251			min_it (border, N - P [1]);
252
253	root	1.13	return blend (a, b, border, U(0), W);
254	root	1.12	}
255
256	root	1.1	#endif
257	root	1.5