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* This file is part of Deliantra, the Roguelike Realtime MMORPG. |
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* |
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* Copyright (©) 2010 Marc Alexander Lehmann / Robin Redeker / the Deliantra team |
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* |
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* Deliantra is free software: you can redistribute it and/or modify it under |
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* the terms of the Affero GNU General Public License as published by the |
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* Free Software Foundation, either version 3 of the License, or (at your |
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* option) any later version. |
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* |
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* This program is distributed in the hope that it will be useful, |
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* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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* GNU General Public License for more details. |
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* |
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* You should have received a copy of the Affero GNU General Public License |
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* and the GNU General Public License along with this program. If not, see |
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* <http://www.gnu.org/licenses/>. |
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* |
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* The authors can be reached via e-mail to <support@deliantra.net> |
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*/ |
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#ifndef RNG_H__ |
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#define RNG_H__ |
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#include <compiler.h> |
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// P. L'Ecuyer, “Maximally Equidistributed Combined Tausworthe Generators”, Mathematics of Computation, 65, 213 (1996), 203–213. |
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// http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme.ps |
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// http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme2.ps |
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struct tausworthe_rng |
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{ |
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uint32_t state [4]; |
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void seed (uint32_t seed); |
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uint32_t next (); |
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}; |
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// Xorshift RNGs, George Marsaglia |
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// http://www.jstatsoft.org/v08/i14/paper |
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// this one is about 40% faster than the tausworthe one above (i.e. not much), |
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// despite the inlining, and has the issue of only creating 2**32-1 numbers. |
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// see also http://www.iro.umontreal.ca/~lecuyer/myftp/papers/xorshift.pdf |
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struct xorshift_rng |
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{ |
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uint32_t x, y; |
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void seed (uint32_t seed) |
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{ |
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x = seed | 1; |
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y = x * 69069U; |
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} |
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uint32_t next () |
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{ |
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uint32_t t = x ^ (x << 10); |
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x = y; |
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y = y ^ (y >> 13) ^ t ^ (t >> 10); |
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return y; |
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} |
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}; |
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template<uint32_t A, uint32_t B> |
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struct lc_rng |
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{ |
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uint32_t x; |
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void seed (uint32_t seed) |
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{ |
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x = seed; |
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} |
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uint32_t next () |
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{ |
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x = x * A + B; |
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return x; |
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} |
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}; |
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typedef lc_rng<3039177861U, 0> borosh_niederreiter_rng; |
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typedef lc_rng<2147001325U, 715136305U> bcpl_rng; |
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template<typename T, int N, int k> |
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struct gfsr_rng |
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{ |
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int i; |
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T x[N]; |
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// rng must have same bitwidth as T |
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template<typename RNG> |
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void seed_rng (RNG rng) |
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{ |
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i = N; |
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do |
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x [--i] = rng.next (); |
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while (i > sizeof (T) * 8); |
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T m = 1; |
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do |
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{ |
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x [--i] = (rng.next () | m) & ~(m - 1); |
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m <<= 1; |
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} |
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while (i); |
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} |
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// actually should subclass to gfsr32... :) |
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void seed (uint32_t seed) |
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{ |
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xorshift_rng rng; |
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rng.seed (seed); |
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this->seed_rng (rng); |
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} |
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T next () |
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{ |
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int j = i + (k - N); |
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if (j < 0) |
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j += N; |
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T v = (x [i] ^= x [j]); |
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i = (i ? i : N) - 1; |
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return v; |
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} |
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}; |
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// these are about 2-3 times faster than tausworthe, non-inlined, |
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// and likely of higher quality. |
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typedef gfsr_rng<uint32_t, 250, 103> r250_rng; |
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typedef gfsr_rng<uint32_t, 521, 168> r521_rng; |
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// freeciv uses this one, so it's good enough for us :) |
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typedef gfsr_rng<uint32_t, 55, 24> freeciv_rng; |
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// this one should be high quality, but is slightly slower than tausworthe |
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struct r250521_rng |
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{ |
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r250_rng r250; |
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r521_rng r521; |
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void seed (uint32_t seed); |
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uint32_t next (); |
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}; |
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// this is actually an adaptor that provides different types |
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// of random numbers. |
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template<class generator> |
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struct random_number_generator : generator |
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{ |
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random_number_generator () |
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{ |
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} |
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random_number_generator (uint32_t seed) |
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{ |
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this->seed (seed); |
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} |
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// uniform distribution, [0 .. num - 1] |
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uint32_t operator ()(uint32_t num) |
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{ |
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return !is_constant (num) ? get_range (num) // non-constant |
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: num & (num - 1) ? (this->next () * (uint64_t)num) >> 32U // constant, non-power-of-two |
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: this->next () & (num - 1); // constant, power-of-two |
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} |
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// return a number within the closed interval [min .. max], max can be >, < or == min. |
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int operator () (int r_min, int r_max) |
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{ |
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return is_constant (r_min <= r_max) && r_min <= r_max |
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? r_min + operator ()(r_max - r_min + 1) |
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: get_range (r_min, r_max); |
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} |
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uint32_t get_u32 (); |
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uint64_t get_u64 (); |
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float get_float (); |
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double get_double (); |
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// return a number within the half-open interval [0..1[ |
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double operator () () |
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{ |
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return get_double (); |
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} |
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uint32_t poisson (double mean); |
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protected: |
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uint32_t get_range (uint32_t r_max); |
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int get_range (int r_min, int r_max); |
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}; |
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// the default rng used in the game |
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typedef random_number_generator<freeciv_rng> rand_gen; |
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// used when we often seed |
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typedef random_number_generator<tausworthe_rng> seedable_rand_gen; |
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extern rand_gen rndm, rmg_rndm; |
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#endif |
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