258 lines
7.1 KiB
C
258 lines
7.1 KiB
C
#ifndef TINYMT32_H
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#define TINYMT32_H
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/**
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* @file tinymt32.h
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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 (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 <stdint.h>
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#include <inttypes.h>
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#define TINYMT32_MEXP 127
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#define TINYMT32_SH0 1
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#define TINYMT32_SH1 10
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#define TINYMT32_SH8 8
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#define TINYMT32_MASK UINT32_C(0x7fffffff)
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#define TINYMT32_MUL (1.0f / 16777216.0f)
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#if defined(__cplusplus)
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extern "C" {
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#endif
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/**
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* tinymt32 internal state vector and parameters
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*/
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struct TINYMT32_T {
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uint32_t status[4];
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uint32_t mat1;
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uint32_t mat2;
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uint32_t tmat;
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};
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typedef struct TINYMT32_T tinymt32_t;
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void tinymt32_init(tinymt32_t * random, uint32_t seed);
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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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#if defined(__GNUC__)
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/**
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* This function always returns 127
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* @param random not used
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* @return always 127
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*/
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inline static int tinymt32_get_mexp(
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tinymt32_t * random __attribute__((unused))) {
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return TINYMT32_MEXP;
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}
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#else
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inline static int tinymt32_get_mexp(tinymt32_t * random) {
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return TINYMT32_MEXP;
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}
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#endif
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/**
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* This function changes internal state of tinymt32.
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* Users should not call this function directly.
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* @param random tinymt internal status
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*/
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inline static void tinymt32_next_state(tinymt32_t * random) {
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uint32_t x;
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uint32_t y;
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y = random->status[3];
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x = (random->status[0] & TINYMT32_MASK)
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^ random->status[1]
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^ random->status[2];
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x ^= (x << TINYMT32_SH0);
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y ^= (y >> TINYMT32_SH0) ^ x;
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random->status[0] = random->status[1];
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random->status[1] = random->status[2];
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random->status[2] = x ^ (y << TINYMT32_SH1);
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random->status[3] = y;
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int32_t const a = -((int32_t)(y & 1)) & (int32_t)random->mat1;
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int32_t const b = -((int32_t)(y & 1)) & (int32_t)random->mat2;
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random->status[1] ^= (uint32_t)a;
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random->status[2] ^= (uint32_t)b;
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}
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/**
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* This function outputs 32-bit unsigned integer from internal state.
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* Users should not call this function directly.
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* @param random tinymt internal status
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* @return 32-bit unsigned pseudorandom number
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*/
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inline static uint32_t tinymt32_temper(tinymt32_t * random) {
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uint32_t t0, t1;
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t0 = random->status[3];
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#if defined(LINEARITY_CHECK)
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t1 = random->status[0]
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^ (random->status[2] >> TINYMT32_SH8);
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#else
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t1 = random->status[0]
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+ (random->status[2] >> TINYMT32_SH8);
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#endif
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t0 ^= t1;
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if ((t1 & 1) != 0) {
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t0 ^= random->tmat;
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}
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return t0;
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}
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/**
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* This function outputs floating point number from internal state.
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* Users should not call this function directly.
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* @param random tinymt internal status
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* @return floating point number r (1.0 <= r < 2.0)
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*/
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inline static float tinymt32_temper_conv(tinymt32_t * random) {
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uint32_t t0, t1;
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union {
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uint32_t u;
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float f;
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} conv;
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t0 = random->status[3];
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#if defined(LINEARITY_CHECK)
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t1 = random->status[0]
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^ (random->status[2] >> TINYMT32_SH8);
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#else
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t1 = random->status[0]
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+ (random->status[2] >> TINYMT32_SH8);
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#endif
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t0 ^= t1;
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if ((t1 & 1) != 0) {
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conv.u = ((t0 ^ random->tmat) >> 9) | UINT32_C(0x3f800000);
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} else {
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conv.u = (t0 >> 9) | UINT32_C(0x3f800000);
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}
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return conv.f;
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}
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/**
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* This function outputs floating point number from internal state.
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* Users should not call this function directly.
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* @param random tinymt internal status
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* @return floating point number r (1.0 < r < 2.0)
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*/
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inline static float tinymt32_temper_conv_open(tinymt32_t * random) {
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uint32_t t0, t1;
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union {
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uint32_t u;
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float f;
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} conv;
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t0 = random->status[3];
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#if defined(LINEARITY_CHECK)
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t1 = random->status[0]
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^ (random->status[2] >> TINYMT32_SH8);
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#else
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t1 = random->status[0]
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+ (random->status[2] >> TINYMT32_SH8);
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#endif
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t0 ^= t1;
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if ((t1 & 1) != 0) {
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conv.u = ((t0 ^ random->tmat) >> 9) | UINT32_C(0x3f800001);
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} else {
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conv.u = (t0 >> 9) | UINT32_C(0x3f800001);
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}
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return conv.f;
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}
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/**
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* This function outputs 32-bit unsigned integer from internal state.
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* @param random tinymt internal status
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* @return 32-bit unsigned integer r (0 <= r < 2^32)
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*/
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inline static uint32_t tinymt32_generate_uint32(tinymt32_t * random) {
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tinymt32_next_state(random);
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return tinymt32_temper(random);
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}
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/**
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* This function outputs floating point number from internal state.
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* This function is implemented using multiplying by (1 / 2^24).
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* floating point multiplication is faster than using union trick in
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* my Intel CPU.
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* @param random tinymt internal status
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* @return floating point number r (0.0 <= r < 1.0)
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*/
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inline static float tinymt32_generate_float(tinymt32_t * random) {
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tinymt32_next_state(random);
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return (float)(tinymt32_temper(random) >> 8) * TINYMT32_MUL;
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}
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/**
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* This function outputs floating point number from internal state.
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* This function is implemented using union trick.
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* @param random tinymt internal status
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* @return floating point number r (1.0 <= r < 2.0)
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*/
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inline static float tinymt32_generate_float12(tinymt32_t * random) {
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tinymt32_next_state(random);
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return tinymt32_temper_conv(random);
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}
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/**
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* This function outputs floating point number from internal state.
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* This function is implemented using union trick.
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* @param random tinymt internal status
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* @return floating point number r (0.0 <= r < 1.0)
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*/
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inline static float tinymt32_generate_float01(tinymt32_t * random) {
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tinymt32_next_state(random);
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return tinymt32_temper_conv(random) - 1.0f;
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}
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/**
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* This function outputs floating point number from internal state.
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* This function may return 1.0 and never returns 0.0.
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* @param random tinymt internal status
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* @return floating point number r (0.0 < r <= 1.0)
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*/
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inline static float tinymt32_generate_floatOC(tinymt32_t * random) {
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tinymt32_next_state(random);
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return 1.0f - tinymt32_generate_float(random);
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}
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/**
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* This function outputs floating point number from internal state.
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* This function returns neither 0.0 nor 1.0.
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* @param random tinymt internal status
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* @return floating point number r (0.0 < r < 1.0)
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*/
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inline static float tinymt32_generate_floatOO(tinymt32_t * random) {
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tinymt32_next_state(random);
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return tinymt32_temper_conv_open(random) - 1.0f;
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}
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/**
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* This function outputs double precision floating point number from
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* internal state. The returned value has 32-bit precision.
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* In other words, this function makes one double precision floating point
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* number from one 32-bit unsigned integer.
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* @param random tinymt internal status
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* @return floating point number r (0.0 <= r < 1.0)
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*/
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inline static double tinymt32_generate_32double(tinymt32_t * random) {
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tinymt32_next_state(random);
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return tinymt32_temper(random) * (1.0 / 4294967296.0);
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}
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#if defined(__cplusplus)
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}
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#endif
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#endif
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