AuroraRuntime/Source/RNG/AuMTwister.cpp

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/*
* Copyright (C) 2020, Evan Sultanik
* Public Domain
*
* An implementation of the MT19937 Algorithm for the Mersenne Twister
* by Evan Sultanik. Based upon the pseudocode in: M. Matsumoto and
* T. Nishimura, "Mersenne Twister: A 623-dimensionally
* equidistributed uniform pseudorandom number generator," ACM
* Transactions on Modeling and Computer Simulation Vol. 8, No. 1,
* January pp.3-30 1998.
*
* http://www.sultanik.com/Mersenne_twister
*/
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#include <Source/RuntimeInternal.hpp>
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#include "AuMTwister.hpp"
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#define UPPER_MASK 0x80000000
#define LOWER_MASK 0x7fffffff
#define TEMPERING_MASK_B 0x9d2c5680
#define TEMPERING_MASK_C 0xefc60000
inline static void MT_SeedRand(MTRand *rand, AuUInt32 seed)
{
/* set initial seeds to mt[STATE_VECTOR_LENGTH] using the generator
* from Line 25 of Table 1 in: Donald Knuth, "The Art of Computer
* Programming," Vol. 2 (2nd Ed.) pp.102.
*/
rand->mt[0] = seed & 0xffffffff;
for (rand->index = 1; rand->index < STATE_VECTOR_LENGTH; rand->index++)
{
rand->mt[rand->index] = (6069 * rand->mt[rand->index - 1]) & 0xffffffff;
}
}
/**
* Creates a new random number generator from a given seed.
*/
MTRand MT_SeedRand(AuUInt32 seed)
{
MTRand rand {};
MT_SeedRand(&rand, seed);
return rand;
}
/**
* Generates a pseudo-randomly generated long.
*/
AuUInt32 MT_NextLong(MTRand *rand)
{
AuUInt32 y;
static const AuUInt32 mag[2] = {0x0, 0x9908b0df}; /* mag[x] = x * 0x9908b0df for x = 0,1 */
AU_LOCK_GUARD(rand->lock);
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if (rand->index >= STATE_VECTOR_LENGTH || rand->index < 0)
{
int kk;
/* generate STATE_VECTOR_LENGTH words at a time */
if (rand->index >= STATE_VECTOR_LENGTH + 1 || rand->index < 0)
{
MT_SeedRand(rand, 4357);
}
for (kk = 0; kk < STATE_VECTOR_LENGTH - STATE_VECTOR_M; kk++)
{
y = (rand->mt[kk] & UPPER_MASK) | (rand->mt[kk + 1] & LOWER_MASK);
rand->mt[kk] = rand->mt[kk + STATE_VECTOR_M] ^ (y >> 1) ^ mag[y & 0x1];
}
for (; kk < STATE_VECTOR_LENGTH - 1; kk++)
{
y = (rand->mt[kk] & UPPER_MASK) | (rand->mt[kk + 1] & LOWER_MASK);
rand->mt[kk] = rand->mt[kk + (STATE_VECTOR_M - STATE_VECTOR_LENGTH)] ^ (y >> 1) ^ mag[y & 0x1];
}
y = (rand->mt[STATE_VECTOR_LENGTH - 1] & UPPER_MASK) | (rand->mt[0] & LOWER_MASK);
rand->mt[STATE_VECTOR_LENGTH - 1] = rand->mt[STATE_VECTOR_M - 1] ^ (y >> 1) ^ mag[y & 0x1];
rand->index = 0;
}
y = rand->mt[rand->index++];
y ^= (y >> 11);
y ^= (y << 7) & TEMPERING_MASK_B;
y ^= (y << 15) & TEMPERING_MASK_C;
y ^= (y >> 18);
return y;
}