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152 lines
4.1 KiB
C
152 lines
4.1 KiB
C
/**
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* @file tinymt32.c
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*
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* @brief Tiny Mersenne Twister only 127 bit internal state
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*
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* @author Mutsuo Saito (Hiroshima University)
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* @author Makoto Matsumoto (The University of Tokyo)
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*
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* Copyright (C) 2011 Mutsuo Saito, Makoto Matsumoto,
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* Hiroshima University and The University of Tokyo.
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* All rights reserved.
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*
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* The 3-clause BSD License is applied to this software, see
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* LICENSE.txt
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*/
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#include "tinymt32.h"
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#define MIN_LOOP 8
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#define PRE_LOOP 8
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/**
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* This function represents a function used in the initialization
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* by init_by_array
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* @param x 32-bit integer
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* @return 32-bit integer
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*/
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static uint32_t ini_func1(uint32_t x)
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{
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return (x ^ (x >> 27)) * UINT32_C(1664525);
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}
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/**
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* This function represents a function used in the initialization
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* by init_by_array
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* @param x 32-bit integer
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* @return 32-bit integer
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*/
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static uint32_t ini_func2(uint32_t x)
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{
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return (x ^ (x >> 27)) * UINT32_C(1566083941);
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}
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/**
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* This function certificate the period of 2^127-1.
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* @param random tinymt state vector.
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*/
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static void period_certification(tinymt32_t *random)
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{
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if ((random->status[0] & TINYMT32_MASK) == 0 &&
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random->status[1] == 0 &&
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random->status[2] == 0 &&
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random->status[3] == 0) {
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random->status[0] = 'T';
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random->status[1] = 'I';
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random->status[2] = 'N';
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random->status[3] = 'Y';
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}
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}
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/**
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* This function initializes the internal state array with a 32-bit
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* unsigned integer seed.
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* @param random tinymt state vector.
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* @param seed a 32-bit unsigned integer used as a seed.
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*/
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void tinymt32_init(tinymt32_t *random, uint32_t seed)
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{
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random->status[0] = seed;
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random->status[1] = random->mat1;
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random->status[2] = random->mat2;
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random->status[3] = random->tmat;
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for (int i = 1; i < MIN_LOOP; i++) {
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random->status[i & 3] ^= i + UINT32_C(1812433253)
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* (random->status[(i - 1) & 3]
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^ (random->status[(i - 1) & 3] >> 30));
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}
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period_certification(random);
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for (int i = 0; i < PRE_LOOP; i++) {
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tinymt32_next_state(random);
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}
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}
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/**
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* This function initializes the internal state array,
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* with an array of 32-bit unsigned integers used as seeds
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* @param random tinymt state vector.
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* @param init_key the array of 32-bit integers, used as a seed.
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* @param key_length the length of init_key.
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*/
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void tinymt32_init_by_array(tinymt32_t *random, uint32_t init_key[],
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int key_length)
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{
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const int lag = 1;
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const int mid = 1;
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const int size = 4;
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int i, j;
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int count;
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uint32_t r;
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uint32_t *st = &random->status[0];
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st[0] = 0;
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st[1] = random->mat1;
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st[2] = random->mat2;
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st[3] = random->tmat;
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if (key_length + 1 > MIN_LOOP) {
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count = key_length + 1;
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}
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else {
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count = MIN_LOOP;
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}
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r = ini_func1(st[0] ^ st[mid % size]
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^ st[(size - 1) % size]);
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st[mid % size] += r;
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r += key_length;
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st[(mid + lag) % size] += r;
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st[0] = r;
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count--;
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for (i = 1, j = 0; (j < count) && (j < key_length); j++) {
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r = ini_func1(st[i % size]
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^ st[(i + mid) % size]
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^ st[(i + size - 1) % size]);
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st[(i + mid) % size] += r;
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r += init_key[j] + i;
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st[(i + mid + lag) % size] += r;
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st[i % size] = r;
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i = (i + 1) % size;
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}
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for (; j < count; j++) {
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r = ini_func1(st[i % size]
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^ st[(i + mid) % size]
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^ st[(i + size - 1) % size]);
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st[(i + mid) % size] += r;
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r += i;
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st[(i + mid + lag) % size] += r;
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st[i % size] = r;
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i = (i + 1) % size;
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}
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for (j = 0; j < size; j++) {
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r = ini_func2(st[i % size]
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+ st[(i + mid) % size]
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+ st[(i + size - 1) % size]);
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st[(i + mid) % size] ^= r;
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r -= i;
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st[(i + mid + lag) % size] ^= r;
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st[i % size] = r;
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i = (i + 1) % size;
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}
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period_certification(random);
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for (i = 0; i < PRE_LOOP; i++) {
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tinymt32_next_state(random);
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}
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}
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