server/include/noise.h

/*
 * This file is part of Deliantra, the Roguelike Realtime MMORPG.
 *
 * Copyright (©) 2017,2018 Marc Alexander Lehmann / the Deliantra team
 * 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:	1.22
Committed:	Sat Nov 17 23:40:01 2018 UTC (5 years, 5 months ago) by root
Content type:	text/plain
Branch:	MAIN
CVS Tags:	HEAD
Changes since 1.21:	+1 -0 lines
Log Message:	copyright update 2018
#	Content
1	/*
2	* This file is part of Deliantra, the Roguelike Realtime MMORPG.
3	*
4	* Copyright (©) 2017,2018 Marc Alexander Lehmann / the Deliantra team
5	* Copyright (©) 2010,2011,2012,2013,2014,2015,2016 Marc Alexander Lehmann / Robin Redeker / the Deliantra team
6	*
7	* Deliantra is free software: you can redistribute it and/or modify it under
8	* the terms of the Affero GNU General Public License as published by the
9	* Free Software Foundation, either version 3 of the License, or (at your
10	* option) any later version.
11	*
12	* This program is distributed in the hope that it will be useful,
13	* but WITHOUT ANY WARRANTY; without even the implied warranty of
14	* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15	* GNU General Public License for more details.
16	*
17	* You should have received a copy of the Affero GNU General Public License
18	* and the GNU General Public License along with this program. If not, see
19	* <http://www.gnu.org/licenses/>.
20	*
21	* The authors can be reached via e-mail to <support@deliantra.net>
22	*/
23
24	#ifndef NOISE_H_
25	#define NOISE_H_
26
27	#if 0 // blitz++0.09
28	#include <string.h> // workaround for tinyvec using memcpy without including string.h
29	#include <cstdlib> // workaround for tinyvec using labs without including cstdlib
30	#include <blitz/tinyvec.h>
31	#include <blitz/tinyvec-et.h>
32	typedef blitz::TinyVector<float,2> vec2d;
33	typedef blitz::TinyVector<float,3> vec3d;
34	#else
35
36	// blitz++ 0.10 - not working
37	#include <blitz/array.h>
38	#include <blitz/tinyvec2.h>
39	#include <blitz/tinyvec2.cc>
40
41	template<typename T, int length>
42	struct vecnd
43	: blitz::TinyVector<T, length>
44	{
45	static const int numElements = length;
46	using blitz::TinyVector<T, length>::TinyVector;
47	};
48
49	typedef vecnd<float,2> vec2d;
50	typedef vecnd<float,3> vec3d;
51
52	#endif
53
54	#include "global.h"
55
56	vec2d
57	inline floor (vec2d v)
58	{
59	return vec2d (fastfloor (v[0]), fastfloor (v[1]));
60	}
61
62	vec3d
63	inline floor (vec3d v)
64	{
65	return vec3d (fastfloor (v[0]), fastfloor (v[1]), fastfloor (v[2]));
66	}
67
68	vec2d
69	inline pow (vec2d v, vec2d p)
70	{
71	return vec2d (pow (v[0], p[0]), pow (v[1], p[1]));
72	}
73
74	/////////////////////////////////////////////////////////////////////////////
75
76	// various s-shaped curves, smooth to, first, or second derivative
77	// used for smooth interpolation from 0..1
78
79	// linear
80	template<typename T>
81	inline T
82	sigmoid0 (T x)
83	{
84	return x;
85	}
86
87	// 3x²-2x³
88	template<typename T>
89	inline T
90	sigmoid1 (T x)
91	{
92	return (3 - 2 * x) * x * x;
93	}
94
95	// 6x⁵ - 15x⁴ + 10x³
96	template<typename T>
97	inline T
98	sigmoid2 (T x)
99	{
100	#ifdef MORE_PARALLELITY
101	float x2 = x * x;
102	float x4 = x2 * x2;
103
104	return (6 * x4 + 10 * x2) * x - 15 * x4;
105	#endif
106
107	// simple horner
108	return ((6 * x - 15) * x + 10) * x * x * x;
109	}
110
111	// blend between a and b
112	// c is the control function - if lower than ca
113	// then return a, if higher than cb, return b
114	template<typename T, typename U>
115	inline T
116	blend (T a, T b, U c, U ca, U cb, U weight (U) = sigmoid1)
117	{
118	if (c <= ca) return a;
119	if (c >= cb) return b;
120
121	U w = weight ((c - ca) / (cb - ca));
122	return (U(1) - w) * a + w * b;
123	}
124
125	// blend between a and b
126	// c is the control function - if lower than -c_w
127	// then return a, if higher than +c_w then b.
128	template<typename T, typename U>
129	inline T
130	blend0 (T a, T b, U c, U c_w, U weight (U) = sigmoid1)
131	{
132	return blend<T,U> (a, b, c, -c_w, c_w, weight);
133	}
134
135	template<class vec_t, int a, int b>
136	struct rotate_nn
137	{
138	typename vec_t::T_numtype s, c;
139
140	void set (typename vec_t::T_numtype angle)
141	{
142	s = sin (angle);
143	c = cos (angle);
144	}
145
146	void operator ()(vec_t &P) const
147	{
148	vec_t o = P;
149
150	P[a] = o[a] * c - o[b] * s;
151	P[b] = o[a] * s + o[b] * c;
152	}
153	};
154
155	template<class vec_t>
156	struct rotate_xy : rotate_nn<vec_t, 0, 1>
157	{
158	};
159
160	template<class vec_t>
161	struct rotate_xz : rotate_nn<vec_t, 0, 2>
162	{
163	};
164
165	template<class vec_t>
166	struct rotate_yz : rotate_nn<vec_t, 1, 2>
167	{
168	};
169
170	/////////////////////////////////////////////////////////////////////////////
171
172	template< int N, typename T>
173	struct permutation
174	{
175	T pmap[N];
176
177	void seed (seedable_rand_gen &rng);
178
179	ecb_pure T operator ()(T v)
180	{
181	return pmap[v & T(N - 1)];
182	}
183	};
184
185	/////////////////////////////////////////////////////////////////////////////
186
187	template<class vec_t>
188	struct noise_gen_base
189	{
190	permutation<256, uint8_t> rvmap[vec_t::numElements + 1];
191
192	typedef typename vec_t::T_numtype value_t;
193
194	void seed (seedable_rand_gen &rng);
195	void seed (seed_t seed);
196
197	ecb_pure value_t operator ()(vec_t P, uint32_t seed = 0);
198	};
199
200	template<class vec_t>
201	struct noise_gen;
202
203	// modelled after 2d/3d kensler noise without projection
204	template<>
205	struct noise_gen<vec2d>
206	: noise_gen_base<vec2d>
207	{
208	static value_t abs_avg() { return 0.2231; } // avg(abs(noise))
209	};
210
211	template<>
212	struct noise_gen<vec3d>
213	: noise_gen_base<vec3d>
214	{
215	static vec3d::T_numtype abs_avg() { return 0.415; } // avg(abs(noise))
216
217	using noise_gen_base<vec3d>::operator ();
218
219	// noise projected on a surface with normal n
220	ecb_pure vec2d::T_numtype operator() (vec3d P, vec3d N, uint32_t seed = 0);
221	};
222
223	typedef noise_gen<vec2d> noise2d;
224	typedef noise_gen<vec3d> noise3d;
225
226	/////////////////////////////////////////////////////////////////////////////
227
228	template<class vec_t>
229	struct frac_gen
230	: noise_gen<vec_t>
231	{
232	enum { MAX_OCTAVES = 32 };
233
234	typedef typename vec_t::T_numtype value_t;
235
236	int octaves;
237	value_t h, lac, ex[MAX_OCTAVES];
238	value_t fbm_mul[MAX_OCTAVES];
239	rotate_xy<vec_t> rot[MAX_OCTAVES];
240
241	frac_gen (int octaves = 3, value_t lacunarity = 2, value_t hurst_expo = .5, uint32_t seed = 0);
242
243	ecb_pure value_t noise (vec_t P, uint32_t seed = 0)
244	{
245	return this->operator() (P, seed);
246	}
247
248	ecb_pure value_t fBm (vec_t P);
249	ecb_pure value_t turbulence (vec_t P);
250	ecb_pure value_t multifractal (vec_t P, value_t offset = 1);
251	ecb_pure value_t heterofractal (vec_t P, value_t offset = 1);
252	ecb_pure value_t hybridfractal (vec_t P, value_t offset = 1, value_t gain = 1);
253	ecb_pure value_t ridgedmultifractal (vec_t P, value_t offset = 1, value_t gain = 8);
254	ecb_pure value_t billowfractal (vec_t P, value_t offset = 1, value_t gain = 2);
255	ecb_pure value_t terrain (vec_t P);
256	ecb_pure value_t terrain2 (vec_t P);
257	};
258
259	typedef frac_gen<vec2d> frac2d;
260	typedef frac_gen<vec3d> frac3d;
261
262	/////////////////////////////////////////////////////////////////////////////
263
264	template<typename T, typename U>
265	inline T
266	border_blend (T a, T b, vec2d P, U N, U W)
267	{
268	U border = W; // within n places of the border
269
270	min_it (border, P [0]);
271	min_it (border, N - P [0]);
272	min_it (border, P [1]);
273	min_it (border, N - P [1]);
274
275	return blend (a, b, border, U(0), W);
276	}
277
278	#endif
279