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/*
This file is part of darktable,
copyright (c) 2009--2010 johannes hanika.
darktable is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
darktable 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 GNU General Public License
along with darktable. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef DT_POINTS_H
#define DT_POINTS_H
#ifndef __SSE2__
// lamer version for obsolete archs:
#if !defined _XOPEN_SOURCE && \
!defined(__DragonFly__) && !defined(__FreeBSD__) && \
!defined(__NetBSD__) && !defined(__OpenBSD__)
#define _XOPEN_SOURCE
#endif
#include <stdlib.h>
double drand48(void);
void srand48(long int seedval);
typedef struct dt_points_t
{ }
dt_points_t;
static inline void dt_points_init(dt_points_t *p, const unsigned int num_threads)
{
srand48(0x1337ul);
}
static inline void dt_points_cleanup(dt_points_t *p) { }
static inline float dt_points_get_for(dt_points_t *p, const unsigned int thread_num)
{
return drand48();
}
static inline float dt_points_get()
{
return drand48();
}
#else
#include <emmintrin.h>
#include <inttypes.h>
#define MEXP 19937
#ifndef SFMT_PARAMS_H
#define SFMT_PARAMS_H
#if !defined(MEXP)
#ifdef __GNUC__
#warning "MEXP is not defined. I assume MEXP is 19937."
#endif
#define MEXP 19937
#endif
/*-----------------
BASIC DEFINITIONS
-----------------*/
/** Mersenne Exponent. The period of the sequence
* is a multiple of 2^MEXP-1.
* #define MEXP 19937 */
/** SFMT generator has an internal state array of 128-bit integers,
* and N is its size. */
#define N (MEXP / 128 + 1)
/** N32 is the size of internal state array when regarded as an array
* of 32-bit integers.*/
#define N32 (N * 4)
/** N64 is the size of internal state array when regarded as an array
* of 64-bit integers.*/
#define N64 (N * 2)
/*----------------------
the parameters of SFMT
following definitions are in paramsXXXX.h file.
----------------------*/
/** the pick up position of the array.
#define POS1 122
*/
/** the parameter of shift left as four 32-bit registers.
#define SL1 18
*/
/** the parameter of shift left as one 128-bit register.
* The 128-bit integer is shifted by (SL2 * 8) bits.
#define SL2 1
*/
/** the parameter of shift right as four 32-bit registers.
#define SR1 11
*/
/** the parameter of shift right as one 128-bit register.
* The 128-bit integer is shifted by (SL2 * 8) bits.
#define SR2 1
*/
/** A bitmask, used in the recursion. These parameters are introduced
* to break symmetry of SIMD.
#define MSK1 0xdfffffefU
#define MSK2 0xddfecb7fU
#define MSK3 0xbffaffffU
#define MSK4 0xbffffff6U
*/
/** These definitions are part of a 128-bit period certification vector.
#define PARITY1 0x00000001U
#define PARITY2 0x00000000U
#define PARITY3 0x00000000U
#define PARITY4 0xc98e126aU
*/
#if 0
#if MEXP == 607
#include "SFMT-params607.h"
#elif MEXP == 1279
#include "SFMT-params1279.h"
#elif MEXP == 2281
#include "SFMT-params2281.h"
#elif MEXP == 4253
#include "SFMT-params4253.h"
#elif MEXP == 11213
#include "SFMT-params11213.h"
#elif MEXP == 19937
#include "SFMT-params19937.h"
#elif MEXP == 44497
#include "SFMT-params44497.h"
#elif MEXP == 86243
#include "SFMT-params86243.h"
#elif MEXP == 132049
#include "SFMT-params132049.h"
#elif MEXP == 216091
#include "SFMT-params216091.h"
#else
#ifdef __GNUC__
#error "MEXP is not valid."
#undef MEXP
#else
#undef MEXP
#endif
#endif
#endif
#endif /* SFMT_PARAMS_H */
#ifndef SFMT_PARAMS19937_H
#define SFMT_PARAMS19937_H
#define POS1 122
#define SL1 18
#define SL2 1
#define SR1 11
#define SR2 1
#define MSK1 0xdfffffefU
#define MSK2 0xddfecb7fU
#define MSK3 0xbffaffffU
#define MSK4 0xbffffff6U
#define PARITY1 0x00000001U
#define PARITY2 0x00000000U
#define PARITY3 0x00000000U
#define PARITY4 0x13c9e684U
#define ALTI_SL1 {SL1, SL1, SL1, SL1}
#define ALTI_SR1 {SR1, SR1, SR1, SR1}
#define ALTI_MSK {MSK1, MSK2, MSK3, MSK4}
#define ALTI_MSK64 {MSK2, MSK1, MSK4, MSK3}
#define ALTI_SL2_PERM {1,2,3,23,5,6,7,0,9,10,11,4,13,14,15,8}
#define ALTI_SL2_PERM64 {1,2,3,4,5,6,7,31,9,10,11,12,13,14,15,0}
#define ALTI_SR2_PERM {7,0,1,2,11,4,5,6,15,8,9,10,17,12,13,14}
#define ALTI_SR2_PERM64 {15,0,1,2,3,4,5,6,17,8,9,10,11,12,13,14}
#define IDSTR "SFMT-19937:122-18-1-11-1:dfffffef-ddfecb7f-bffaffff-bffffff6"
#endif /* SFMT_PARAMS19937_H */
/** 128-bit data structure */
typedef union w128_t
{
__m128i si;
uint32_t u[4];
}
w128_t;
typedef struct sfmt_state_t
{
/** the 128-bit internal state array */
w128_t sfmt[N];
/** the 32bit integer pointer to the 128-bit internal state array */
uint32_t *psfmt32;
#if !defined(BIG_ENDIAN64) || defined(ONLY64)
/** the 64bit integer pointer to the 128-bit internal state array */
uint64_t *psfmt64;
#endif
/** index counter to the 32-bit internal state array */
int idx;
/** a flag: it is 0 if and only if the internal state is not yet
* initialized. */
int initialized;
/** a parity check vector which certificate the period of 2^{MEXP} */
uint32_t parity[4];
}
sfmt_state_t;
/**
* @file SFMT.h
*
* @brief SIMD oriented Fast Mersenne Twister(SFMT) pseudorandom
* number generator
*
* @author Mutsuo Saito (Hiroshima University)
* @author Makoto Matsumoto (Hiroshima University)
*
* Copyright (C) 2006, 2007 Mutsuo Saito, Makoto Matsumoto and Hiroshima
* University. All rights reserved.
*
* The new BSD License is applied to this software.
* see LICENSE.txt
*
* @note We assume that your system has inttypes.h. If your system
* doesn't have inttypes.h, you have to typedef uint32_t and uint64_t,
* and you have to define PRIu64 and PRIx64 in this file as follows:
* @verbatim
typedef unsigned int uint32_t
typedef unsigned long long uint64_t
#define PRIu64 "llu"
#define PRIx64 "llx"
@endverbatim
* uint32_t must be exactly 32-bit unsigned integer type (no more, no
* less), and uint64_t must be exactly 64-bit unsigned integer type.
* PRIu64 and PRIx64 are used for printf function to print 64-bit
* unsigned int and 64-bit unsigned int in hexadecimal format.
*/
#ifndef SFMT_H
#define SFMT_H
#include <stdio.h>
#if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L)
#include <inttypes.h>
#elif defined(_MSC_VER) || defined(__BORLANDC__)
typedef unsigned int uint32_t;
typedef unsigned __int64 uint64_t;
#define inline __inline
#else
#include <inttypes.h>
#if defined(__GNUC__)
#define inline __inline__
#endif
#endif
#ifndef PRIu64
#if defined(_MSC_VER) || defined(__BORLANDC__)
#define PRIu64 "I64u"
#define PRIx64 "I64x"
#else
#define PRIu64 "llu"
#define PRIx64 "llx"
#endif
#endif
#if defined(__GNUC__)
#define ALWAYSINLINE __attribute__((always_inline))
#else
#define ALWAYSINLINE
#endif
#if defined(_MSC_VER)
#if _MSC_VER >= 1200
#define PRE_ALWAYS __forceinline
#else
#define PRE_ALWAYS inline
#endif
#else
#define PRE_ALWAYS inline
#endif
static inline uint32_t gen_rand32(struct sfmt_state_t *s);
static inline uint64_t gen_rand64(struct sfmt_state_t *s);
static inline void fill_array32(struct sfmt_state_t *s, uint32_t *array, int size);
static inline void fill_array64(struct sfmt_state_t *s, uint64_t *array, int size);
static inline void init_gen_rand(struct sfmt_state_t *s, uint32_t seed);
static inline void init_by_array(struct sfmt_state_t *s, uint32_t *init_key, int key_length);
static inline const char *get_idstring(void);
static inline int get_min_array_size32(void);
static inline int get_min_array_size64(void);
/* These real versions are due to Isaku Wada */
/** generates a random number on [0,1]-real-interval */
inline static double to_real1(uint32_t v)
{
return v * (1.0/4294967295.0);
/* divided by 2^32-1 */
}
/** generates a random number on [0,1]-real-interval */
inline static double genrand_real1(struct sfmt_state_t *s)
{
return to_real1(gen_rand32(s));
}
/** generates a random number on [0,1)-real-interval */
inline static double to_real2(uint32_t v)
{
return v * (1.0/4294967296.0);
/* divided by 2^32 */
}
/** generates a random number on [0,1)-real-interval (float) */
inline static float to_real2f(uint32_t v)
{
v = 0x3f800000 | (v>>9); // faster than double version.
return (*(float*)&v) - 1.0f;
/* divided by 2^32 */
}
/** generates a random number on [0,1)-real-interval */
inline static double genrand_real2(struct sfmt_state_t *s)
{
return to_real2(gen_rand32(s));
}
inline static float genrand_real2f(struct sfmt_state_t *s)
{
return to_real2f(gen_rand32(s));
}
/** generates a random number on (0,1)-real-interval */
inline static double to_real3(uint32_t v)
{
return (((double)v) + 0.5)*(1.0/4294967296.0);
/* divided by 2^32 */
}
/** generates a random number on (0,1)-real-interval */
inline static double genrand_real3(struct sfmt_state_t *s)
{
return to_real3(gen_rand32(s));
}
/** These real versions are due to Isaku Wada */
/** generates a random number on [0,1) with 53-bit resolution*/
inline static double to_res53(uint64_t v)
{
return v * (1.0/18446744073709551616.0L);
}
/** generates a random number on [0,1) with 53-bit resolution from two
* 32 bit integers */
inline static double to_res53_mix(uint32_t x, uint32_t y)
{
return to_res53(x | ((uint64_t)y << 32));
}
/** generates a random number on [0,1) with 53-bit resolution
*/
inline static double genrand_res53(struct sfmt_state_t *s)
{
return to_res53(gen_rand64(s));
}
/** generates a random number on [0,1) with 53-bit resolution
using 32bit integer.
*/
inline static double genrand_res53_mix(struct sfmt_state_t *s)
{
uint32_t x, y;
x = gen_rand32(s);
y = gen_rand32(s);
return to_res53_mix(x, y);
}
#endif
/**
* @file SFMT-sse2.h
* @brief SIMD oriented Fast Mersenne Twister(SFMT) for Intel SSE2
*
* @author Mutsuo Saito (Hiroshima University)
* @author Makoto Matsumoto (Hiroshima University)
*
* @note We assume LITTLE ENDIAN in this file
*
* Copyright (C) 2006, 2007 Mutsuo Saito, Makoto Matsumoto and Hiroshima
* University. All rights reserved.
*
* The new BSD License is applied to this software, see LICENSE.txt
*/
#ifndef SFMT_SSE2_H
#define SFMT_SSE2_H
PRE_ALWAYS static __m128i mm_recursion(__m128i *a, __m128i *b, __m128i c,
__m128i d, __m128i mask) ALWAYSINLINE;
/**
* This function represents the recursion formula.
* @param a a 128-bit part of the interal state array
* @param b a 128-bit part of the interal state array
* @param c a 128-bit part of the interal state array
* @param d a 128-bit part of the interal state array
* @param mask 128-bit mask
* @return output
*/
PRE_ALWAYS static __m128i mm_recursion(__m128i *a, __m128i *b,
__m128i c, __m128i d, __m128i mask)
{
__m128i v, x, y, z;
x = _mm_load_si128(a);
y = _mm_srli_epi32(*b, SR1);
z = _mm_srli_si128(c, SR2);
v = _mm_slli_epi32(d, SL1);
z = _mm_xor_si128(z, x);
z = _mm_xor_si128(z, v);
x = _mm_slli_si128(x, SL2);
y = _mm_and_si128(y, mask);
z = _mm_xor_si128(z, x);
z = _mm_xor_si128(z, y);
return z;
}
/**
* This function fills the internal state array with pseudorandom
* integers.
*/
inline static void gen_rand_all(struct sfmt_state_t *s)
{
int i;
__m128i r, r1, r2, mask;
mask = _mm_set_epi32(MSK4, MSK3, MSK2, MSK1);
r1 = _mm_load_si128(&(s->sfmt[N - 2].si));
r2 = _mm_load_si128(&(s->sfmt[N - 1].si));
for (i = 0; i < N - POS1; i++)
{
r = mm_recursion(&(s->sfmt[i].si), &(s->sfmt[i + POS1].si), r1, r2, mask);
_mm_store_si128(&(s->sfmt[i].si), r);
r1 = r2;
r2 = r;
}
for (; i < N; i++)
{
r = mm_recursion(&(s->sfmt[i].si), &(s->sfmt[i + POS1 - N].si), r1, r2, mask);
_mm_store_si128(&(s->sfmt[i].si), r);
r1 = r2;
r2 = r;
}
}
/**
* This function fills the user-specified array with pseudorandom
* integers.
*
* @param array an 128-bit array to be filled by pseudorandom numbers.
* @param size number of 128-bit pesudorandom numbers to be generated.
*/
inline static void gen_rand_array(struct sfmt_state_t *s, w128_t *array, int size)
{
int i, j;
__m128i r, r1, r2, mask;
mask = _mm_set_epi32(MSK4, MSK3, MSK2, MSK1);
r1 = _mm_load_si128(&(s->sfmt[N - 2].si));
r2 = _mm_load_si128(&(s->sfmt[N - 1].si));
for (i = 0; i < N - POS1; i++)
{
r = mm_recursion(&(s->sfmt[i].si), &(s->sfmt[i + POS1].si), r1, r2, mask);
_mm_store_si128(&array[i].si, r);
r1 = r2;
r2 = r;
}
for (; i < N; i++)
{
r = mm_recursion(&(s->sfmt[i].si), &array[i + POS1 - N].si, r1, r2, mask);
_mm_store_si128(&array[i].si, r);
r1 = r2;
r2 = r;
}
/* main loop */
for (; i < size - N; i++)
{
r = mm_recursion(&array[i - N].si, &array[i + POS1 - N].si, r1, r2,
mask);
_mm_store_si128(&array[i].si, r);
r1 = r2;
r2 = r;
}
for (j = 0; j < 2 * N - size; j++)
{
r = _mm_load_si128(&array[j + size - N].si);
_mm_store_si128(&(s->sfmt[j].si), r);
}
for (; i < size; i++)
{
r = mm_recursion(&array[i - N].si, &array[i + POS1 - N].si, r1, r2,
mask);
_mm_store_si128(&array[i].si, r);
_mm_store_si128(&(s->sfmt[j++].si), r);
r1 = r2;
r2 = r;
}
}
#endif
/**
* @file SFMT.c
* @brief SIMD oriented Fast Mersenne Twister(SFMT)
*
* @author Mutsuo Saito (Hiroshima University)
* @author Makoto Matsumoto (Hiroshima University)
*
* Copyright (C) 2006,2007 Mutsuo Saito, Makoto Matsumoto and Hiroshima
* University. All rights reserved.
*
* The new BSD License is applied to this software, see LICENSE.txt
*/
#include <string.h>
#include <assert.h>
//#include "SFMT.h"
//#include "SFMT-params.h"
#if defined(__BIG_ENDIAN__) && !defined(__amd64) && !defined(BIG_ENDIAN64)
#define BIG_ENDIAN64 1
#endif
#if defined(HAVE_ALTIVEC) && !defined(BIG_ENDIAN64)
#define BIG_ENDIAN64 1
#endif
#if defined(ONLY64) && !defined(BIG_ENDIAN64)
#if defined(__GNUC__)
#error "-DONLY64 must be specified with -DBIG_ENDIAN64"
#endif
#undef ONLY64
#endif
typedef struct dt_points_t
{
sfmt_state_t **s;
unsigned int num;
}
dt_points_t;
#if 0
/*--------------------------------------
FILE GLOBAL VARIABLES
internal state, index counter and flag
--------------------------------------*/
/** the 128-bit internal state array */
static w128_t sfmt[N];
/** the 32bit integer pointer to the 128-bit internal state array */
static uint32_t *psfmt32 = &sfmt[0].u[0];
#if !defined(BIG_ENDIAN64) || defined(ONLY64)
/** the 64bit integer pointer to the 128-bit internal state array */
static uint64_t *psfmt64 = (uint64_t *)&sfmt[0].u[0];
#endif
/** index counter to the 32-bit internal state array */
static int idx;
/** a flag: it is 0 if and only if the internal state is not yet
* initialized. */
static int initialized = 0;
/** a parity check vector which certificate the period of 2^{MEXP} */
static uint32_t parity[4] = {PARITY1, PARITY2, PARITY3, PARITY4};
#endif
/*----------------
STATIC FUNCTIONS
----------------*/
inline static int idxof(int i);
inline static void rshift128(w128_t *out, w128_t const *in, int shift);
inline static void lshift128(w128_t *out, w128_t const *in, int shift);
inline static void gen_rand_all(sfmt_state_t *s);
inline static void gen_rand_array(sfmt_state_t *s, w128_t *array, int size);
inline static uint32_t func1(uint32_t x);
inline static uint32_t func2(uint32_t x);
static void period_certification(sfmt_state_t *s);
#if defined(BIG_ENDIAN64) && !defined(ONLY64)
inline static void swap(w128_t *array, int size);
#endif
/*#if defined(HAVE_ALTIVEC)
#include "SFMT-alti.h"
#elif defined(HAVE_SSE2)
#include "SFMT-sse2.h"
#endif*/
/**
* This function simulate a 64-bit index of LITTLE ENDIAN
* in BIG ENDIAN machine.
*/
#ifdef ONLY64
inline static int idxof(int i)
{
return i ^ 1;
}
#else
inline static int idxof(int i)
{
return i;
}
#endif
/**
* This function simulates SIMD 128-bit right shift by the standard C.
* The 128-bit integer given in in is shifted by (shift * 8) bits.
* This function simulates the LITTLE ENDIAN SIMD.
* @param out the output of this function
* @param in the 128-bit data to be shifted
* @param shift the shift value
*/
#ifdef ONLY64
inline static void rshift128(w128_t *out, w128_t const *in, int shift)
{
uint64_t th, tl, oh, ol;
th = ((uint64_t)in->u[2] << 32) | ((uint64_t)in->u[3]);
tl = ((uint64_t)in->u[0] << 32) | ((uint64_t)in->u[1]);
oh = th >> (shift * 8);
ol = tl >> (shift * 8);
ol |= th << (64 - shift * 8);
out->u[0] = (uint32_t)(ol >> 32);
out->u[1] = (uint32_t)ol;
out->u[2] = (uint32_t)(oh >> 32);
out->u[3] = (uint32_t)oh;
}
#else
inline static void rshift128(w128_t *out, w128_t const *in, int shift)
{
uint64_t th, tl, oh, ol;
th = ((uint64_t)in->u[3] << 32) | ((uint64_t)in->u[2]);
tl = ((uint64_t)in->u[1] << 32) | ((uint64_t)in->u[0]);
oh = th >> (shift * 8);
ol = tl >> (shift * 8);
ol |= th << (64 - shift * 8);
out->u[1] = (uint32_t)(ol >> 32);
out->u[0] = (uint32_t)ol;
out->u[3] = (uint32_t)(oh >> 32);
out->u[2] = (uint32_t)oh;
}
#endif
/**
* This function simulates SIMD 128-bit left shift by the standard C.
* The 128-bit integer given in in is shifted by (shift * 8) bits.
* This function simulates the LITTLE ENDIAN SIMD.
* @param out the output of this function
* @param in the 128-bit data to be shifted
* @param shift the shift value
*/
#ifdef ONLY64
inline static void lshift128(w128_t *out, w128_t const *in, int shift)
{
uint64_t th, tl, oh, ol;
th = ((uint64_t)in->u[2] << 32) | ((uint64_t)in->u[3]);
tl = ((uint64_t)in->u[0] << 32) | ((uint64_t)in->u[1]);
oh = th << (shift * 8);
ol = tl << (shift * 8);
oh |= tl >> (64 - shift * 8);
out->u[0] = (uint32_t)(ol >> 32);
out->u[1] = (uint32_t)ol;
out->u[2] = (uint32_t)(oh >> 32);
out->u[3] = (uint32_t)oh;
}
#else
inline static void lshift128(w128_t *out, w128_t const *in, int shift)
{
uint64_t th, tl, oh, ol;
th = ((uint64_t)in->u[3] << 32) | ((uint64_t)in->u[2]);
tl = ((uint64_t)in->u[1] << 32) | ((uint64_t)in->u[0]);
oh = th << (shift * 8);
ol = tl << (shift * 8);
oh |= tl >> (64 - shift * 8);
out->u[1] = (uint32_t)(ol >> 32);
out->u[0] = (uint32_t)ol;
out->u[3] = (uint32_t)(oh >> 32);
out->u[2] = (uint32_t)oh;
}
#endif
/**
* This function represents the recursion formula.
* @param r output
* @param a a 128-bit part of the internal state array
* @param b a 128-bit part of the internal state array
* @param c a 128-bit part of the internal state array
* @param d a 128-bit part of the internal state array
*/
#if (!defined(HAVE_ALTIVEC)) && (!defined(HAVE_SSE2))
#ifdef ONLY64
inline static void do_recursion(w128_t *r, w128_t *a, w128_t *b, w128_t *c,
w128_t *d)
{
w128_t x;
w128_t y;
lshift128(&x, a, SL2);
rshift128(&y, c, SR2);
r->u[0] = a->u[0] ^ x.u[0] ^ ((b->u[0] >> SR1) & MSK2) ^ y.u[0]
^ (d->u[0] << SL1);
r->u[1] = a->u[1] ^ x.u[1] ^ ((b->u[1] >> SR1) & MSK1) ^ y.u[1]
^ (d->u[1] << SL1);
r->u[2] = a->u[2] ^ x.u[2] ^ ((b->u[2] >> SR1) & MSK4) ^ y.u[2]
^ (d->u[2] << SL1);
r->u[3] = a->u[3] ^ x.u[3] ^ ((b->u[3] >> SR1) & MSK3) ^ y.u[3]
^ (d->u[3] << SL1);
}
#else
inline static void do_recursion(w128_t *r, w128_t *a, w128_t *b, w128_t *c,
w128_t *d)
{
w128_t x;
w128_t y;
lshift128(&x, a, SL2);
rshift128(&y, c, SR2);
r->u[0] = a->u[0] ^ x.u[0] ^ ((b->u[0] >> SR1) & MSK1) ^ y.u[0]
^ (d->u[0] << SL1);
r->u[1] = a->u[1] ^ x.u[1] ^ ((b->u[1] >> SR1) & MSK2) ^ y.u[1]
^ (d->u[1] << SL1);
r->u[2] = a->u[2] ^ x.u[2] ^ ((b->u[2] >> SR1) & MSK3) ^ y.u[2]
^ (d->u[2] << SL1);
r->u[3] = a->u[3] ^ x.u[3] ^ ((b->u[3] >> SR1) & MSK4) ^ y.u[3]
^ (d->u[3] << SL1);
}
#endif
#endif
#if defined(BIG_ENDIAN64) && !defined(ONLY64) && !defined(HAVE_ALTIVEC)
inline static void swap(w128_t *array, int size)
{
int i;
uint32_t x, y;
for (i = 0; i < size; i++)
{
x = array[i].u[0];
y = array[i].u[2];
array[i].u[0] = array[i].u[1];
array[i].u[2] = array[i].u[3];
array[i].u[1] = x;
array[i].u[3] = y;
}
}
#endif
/**
* This function represents a function used in the initialization
* by init_by_array
* @param x 32-bit integer
* @return 32-bit integer
*/
static uint32_t func1(uint32_t x)
{
return (x ^ (x >> 27)) * (uint32_t)1664525UL;
}
/**
* This function represents a function used in the initialization
* by init_by_array
* @param x 32-bit integer
* @return 32-bit integer
*/
static uint32_t func2(uint32_t x)
{
return (x ^ (x >> 27)) * (uint32_t)1566083941UL;
}
/**
* This function certificate the period of 2^{MEXP}
*/
static void period_certification(sfmt_state_t *s)
{
int inner = 0;
int i, j;
uint32_t work;
for (i = 0; i < 4; i++)
inner ^= s->psfmt32[idxof(i)] & s->parity[i];
for (i = 16; i > 0; i >>= 1)
inner ^= inner >> i;
inner &= 1;
/* check OK */
if (inner == 1)
{
return;
}
/* check NG, and modification */
for (i = 0; i < 4; i++)
{
work = 1;
for (j = 0; j < 32; j++)
{
if ((work & s->parity[i]) != 0)
{
s->psfmt32[idxof(i)] ^= work;
return;
}
work = work << 1;
}
}
}
/*----------------
PUBLIC FUNCTIONS
----------------*/
/**
* This function returns the identification string.
* The string shows the word size, the Mersenne exponent,
* and all parameters of this generator.
*/
const char *get_idstring(void)
{
return IDSTR;
}
/**
* This function returns the minimum size of array used for \b
* fill_array32() function.
* @return minimum size of array used for fill_array32() function.
*/
int get_min_array_size32(void)
{
return N32;
}
/**
* This function returns the minimum size of array used for \b
* fill_array64() function.
* @return minimum size of array used for fill_array64() function.
*/
int get_min_array_size64(void)
{
return N64;
}
#ifndef ONLY64
/**
* This function generates and returns 32-bit pseudorandom number.
* init_gen_rand or init_by_array must be called before this function.
* @return 32-bit pseudorandom number
*/
uint32_t gen_rand32(sfmt_state_t *s)
{
uint32_t r;
//assert(s->initialized);
if (s->idx >= N32)
{
gen_rand_all(s);
s->idx = 0;
}
r = s->psfmt32[s->idx++];
return r;
}
#endif
/**
* This function generates and returns 64-bit pseudorandom number.
* init_gen_rand or init_by_array must be called before this function.
* The function gen_rand64 should not be called after gen_rand32,
* unless an initialization is again executed.
* @return 64-bit pseudorandom number
*/
uint64_t gen_rand64(sfmt_state_t *s)
{
#if defined(BIG_ENDIAN64) && !defined(ONLY64)
uint32_t r1, r2;
#else
uint64_t r;
#endif
//assert(s->initialized);
//assert(s->idx % 2 == 0);
if (s->idx >= N32)
{
gen_rand_all(s);
s->idx = 0;
}
#if defined(BIG_ENDIAN64) && !defined(ONLY64)
r1 = s->psfmt32[s->idx];
r2 = s->psfmt32[s->idx + 1];
s->idx += 2;
return ((uint64_t)r2 << 32) | r1;
#else
r = s->psfmt64[s->idx / 2];
s->idx += 2;
return r;
#endif
}
#ifndef ONLY64
/**
* This function generates pseudorandom 32-bit integers in the
* specified array[] by one call. The number of pseudorandom integers
* is specified by the argument size, which must be at least 624 and a
* multiple of four. The generation by this function is much faster
* than the following gen_rand function.
*
* For initialization, init_gen_rand or init_by_array must be called
* before the first call of this function. This function can not be
* used after calling gen_rand function, without initialization.
*
* @param array an array where pseudorandom 32-bit integers are filled
* by this function. The pointer to the array must be \b "aligned"
* (namely, must be a multiple of 16) in the SIMD version, since it
* refers to the address of a 128-bit integer. In the standard C
* version, the pointer is arbitrary.
*
* @param size the number of 32-bit pseudorandom integers to be
* generated. size must be a multiple of 4, and greater than or equal
* to (MEXP / 128 + 1) * 4.
*
* @note \b memalign or \b posix_memalign is available to get aligned
* memory. Mac OSX doesn't have these functions, but \b malloc of OSX
* returns the pointer to the aligned memory block.
*/
void fill_array32(sfmt_state_t *s, uint32_t *array, int size)
{
// assert(s->initialized);
// assert(s->idx == N32);
// assert(size % 4 == 0);
// assert(size >= N32);
gen_rand_array(s, (w128_t *)array, size / 4);
s->idx = N32;
}
#endif
/**
* This function generates pseudorandom 64-bit integers in the
* specified array[] by one call. The number of pseudorandom integers
* is specified by the argument size, which must be at least 312 and a
* multiple of two. The generation by this function is much faster
* than the following gen_rand function.
*
* For initialization, init_gen_rand or init_by_array must be called
* before the first call of this function. This function can not be
* used after calling gen_rand function, without initialization.
*
* @param array an array where pseudorandom 64-bit integers are filled
* by this function. The pointer to the array must be "aligned"
* (namely, must be a multiple of 16) in the SIMD version, since it
* refers to the address of a 128-bit integer. In the standard C
* version, the pointer is arbitrary.
*
* @param size the number of 64-bit pseudorandom integers to be
* generated. size must be a multiple of 2, and greater than or equal
* to (MEXP / 128 + 1) * 2
*
* @note \b memalign or \b posix_memalign is available to get aligned
* memory. Mac OSX doesn't have these functions, but \b malloc of OSX
* returns the pointer to the aligned memory block.
*/
void fill_array64(sfmt_state_t *s, uint64_t *array, int size)
{
// assert(s->initialized);
// assert(s->idx == N32);
// assert(size % 2 == 0);
// assert(size >= N64);
gen_rand_array(s, (w128_t *)array, size / 2);
s->idx = N32;
#if defined(BIG_ENDIAN64) && !defined(ONLY64)
swap((w128_t *)array, size /2);
#endif
}
/**
* This function initializes the internal state array with a 32-bit
* integer seed.
*
* @param seed a 32-bit integer used as the seed.
*/
void init_gen_rand(sfmt_state_t *s, uint32_t seed)
{
int i;
s->psfmt32[idxof(0)] = seed;
for (i = 1; i < N32; i++)
{