extra files

common/rng_sfmt.cpp

+#include "rng_sfmt.h"
+#include "sfmt/SFMT.h"
+#include <QDateTime>
+#include <stdlib.h>
+#include <iostream>
+
+RNG_SFMT::RNG_SFMT(QObject *parent)
+	: RNG_Abstract(parent)
+{
+	std::cerr << "Using SFMT random number generator." << std::endl;
+	
+	int seed = QDateTime::currentDateTime().toTime_t();
+	init_gen_rand(seed);
+	for (int i = 0; i < 100000; ++i)
+		gen_rand64();
+}
+
+unsigned int RNG_SFMT::getNumber(unsigned int min, unsigned int max)
+{
+	uint64_t r = gen_rand64();
+	return min + (unsigned int) (((double) (max + 1 - min)) * r / (18446744073709551616.0 + 1.0));
+}

common/rng_sfmt.h

+#ifndef RNG_SFMT_H
+#define RNG_SFMT_H
+
+#include "rng_abstract.h"
+
+class RNG_SFMT : public RNG_Abstract {
+	Q_OBJECT
+public:
+	RNG_SFMT(QObject *parent = 0);
+	unsigned int getNumber(unsigned int min, unsigned int max);
+};
+
+#endif
+ 

common/sfmt/LICENSE.txt

+Copyright (c) 2006,2007 Mutsuo Saito, Makoto Matsumoto and Hiroshima
+University. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+    * Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+    * Redistributions in binary form must reproduce the above
+      copyright notice, this list of conditions and the following
+      disclaimer in the documentation and/or other materials provided
+      with the distribution.
+    * Neither the name of the Hiroshima University nor the names of
+      its contributors may be used to endorse or promote products
+      derived from this software without specific prior written
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

common/sfmt/SFMT-params.h

+#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 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 /* SFMT_PARAMS_H */

common/sfmt/SFMT-params19937.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
+
+
+/* PARAMETERS FOR ALTIVEC */
+#if defined(__APPLE__)	/* For OSX */
+    #define ALTI_SL1	(vector unsigned int)(SL1, SL1, SL1, SL1)
+    #define ALTI_SR1	(vector unsigned int)(SR1, SR1, SR1, SR1)
+    #define ALTI_MSK	(vector unsigned int)(MSK1, MSK2, MSK3, MSK4)
+    #define ALTI_MSK64 \
+	(vector unsigned int)(MSK2, MSK1, MSK4, MSK3)
+    #define ALTI_SL2_PERM \
+	(vector unsigned char)(1,2,3,23,5,6,7,0,9,10,11,4,13,14,15,8)
+    #define ALTI_SL2_PERM64 \
+	(vector unsigned char)(1,2,3,4,5,6,7,31,9,10,11,12,13,14,15,0)
+    #define ALTI_SR2_PERM \
+	(vector unsigned char)(7,0,1,2,11,4,5,6,15,8,9,10,17,12,13,14)
+    #define ALTI_SR2_PERM64 \
+	(vector unsigned char)(15,0,1,2,3,4,5,6,17,8,9,10,11,12,13,14)
+#else	/* For OTHER OSs(Linux?) */
+    #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}
+#endif	/* For OSX */
+#define IDSTR	"SFMT-19937:122-18-1-11-1:dfffffef-ddfecb7f-bffaffff-bffffff6"
+
+#endif /* SFMT_PARAMS19937_H */

common/sfmt/SFMT.c

+/** 
+ * @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
+/*------------------------------------------------------
+  128-bit SIMD data type for Altivec, SSE2 or standard C
+  ------------------------------------------------------*/
+#if defined(HAVE_ALTIVEC)
+  #if !defined(__APPLE__)
+    #include <altivec.h>
+  #endif
+/** 128-bit data structure */
+union W128_T {
+    vector unsigned int s;
+    uint32_t u[4];
+};
+/** 128-bit data type */
+typedef union W128_T w128_t;
+
+#elif defined(HAVE_SSE2)
+  #include <emmintrin.h>
+
+/** 128-bit data structure */
+union W128_T {
+    __m128i si;
+    uint32_t u[4];
+};
+/** 128-bit data type */
+typedef union W128_T w128_t;
+
+#else
+
+/** 128-bit data structure */
+struct W128_T {
+    uint32_t u[4];
+};
+/** 128-bit data type */
+typedef struct W128_T w128_t;
+
+#endif
+
+/*--------------------------------------
+  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};
+
+/*----------------
+  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(void);
+inline static void gen_rand_array(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(void);
+#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(HAVE_ALTIVEC)) && (!defined(HAVE_SSE2))
+/**
+ * This function fills the internal state array with pseudorandom
+ * integers.
+ */
+inline static void gen_rand_all(void) {
+    int i;
+    w128_t *r1, *r2;
+
+    r1 = &sfmt[N - 2];
+    r2 = &sfmt[N - 1];
+    for (i = 0; i < N - POS1; i++) {
+	do_recursion(&sfmt[i], &sfmt[i], &sfmt[i + POS1], r1, r2);
+	r1 = r2;
+	r2 = &sfmt[i];
+    }
+    for (; i < N; i++) {
+	do_recursion(&sfmt[i], &sfmt[i], &sfmt[i + POS1 - N], r1, r2);
+	r1 = r2;
+	r2 = &sfmt[i];
+    }
+}
+
+/**
+ * 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 pseudorandom numbers to be generated.
+ */
+inline static void gen_rand_array(w128_t *array, int size) {
+    int i, j;
+    w128_t *r1, *r2;
+
+    r1 = &sfmt[N - 2];
+    r2 = &sfmt[N - 1];
+    for (i = 0; i < N - POS1; i++) {
+	do_recursion(&array[i], &sfmt[i], &sfmt[i + POS1], r1, r2);
+	r1 = r2;
+	r2 = &array[i];
+    }
+    for (; i < N; i++) {
+	do_recursion(&array[i], &sfmt[i], &array[i + POS1 - N], r1, r2);
+	r1 = r2;
+	r2 = &array[i];
+    }
+    for (; i < size - N; i++) {
+	do_recursion(&array[i], &array[i - N], &array[i + POS1 - N], r1, r2);
+	r1 = r2;
+	r2 = &array[i];
+    }
+    for (j = 0; j < 2 * N - size; j++) {
+	sfmt[j] = array[j + size - N];
+    }
+    for (; i < size; i++, j++) {
+	do_recursion(&array[i], &array[i - N], &array[i + POS1 - N], r1, r2);
+	r1 = r2;
+	r2 = &array[i];
+	sfmt[j] = array[i];
+    }
+}
+#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(void) {
+    int inner = 0;
+    int i, j;
+    uint32_t work;
+
+    for (i = 0; i < 4; i++)
+	inner ^= psfmt32[idxof(i)] & 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 & parity[i]) != 0) {
+		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(void) {
+    uint32_t r;
+
+    assert(initialized);
+    if (idx >= N32) {
+	gen_rand_all();
+	idx = 0;
+    }
+    r = psfmt32[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(void) {
+#if defined(BIG_ENDIAN64) && !defined(ONLY64)
+    uint32_t r1, r2;
+#else
+    uint64_t r;
+#endif
+
+    assert(initialized);
+    assert(idx % 2 == 0);
+
+    if (idx >= N32) {
+	gen_rand_all();
+	idx = 0;
+    }
+#if defined(BIG_ENDIAN64) && !defined(ONLY64)
+    r1 = psfmt32[idx];
+    r2 = psfmt32[idx + 1];
+    idx += 2;
+    return ((uint64_t)r2 << 32) | r1;
+#else
+    r = psfmt64[idx / 2];
+    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(uint32_t *array, int size) {
+    assert(initialized);
+    assert(idx == N32);
+    assert(size % 4 == 0);
+    assert(size >= N32);
+
+    gen_rand_array((w128_t *)array, size / 4);
+    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(uint64_t *array, int size) {
+    assert(initialized);
+    assert(idx == N32);
+    assert(size % 2 == 0);
+    assert(size >= N64);
+
+    gen_rand_array((w128_t *)array, size / 2);
+    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(uint32_t seed) {
+    int i;
+
+    psfmt32[idxof(0)] = seed;
+    for (i = 1; i < N32; i++) {
+	psfmt32[idxof(i)] = 1812433253UL * (psfmt32[idxof(i - 1)] 
+					    ^ (psfmt32[idxof(i - 1)] >> 30))
+	    + i;
+    }
+    idx = N32;
+    period_certification();
+    initialized = 1;
+}
+
+/**
+ * This function initializes the internal state array,
+ * with an array of 32-bit integers used as the seeds
+ * @param init_key the array of 32-bit integers, used as a seed.
+ * @param key_length the length of init_key.
+ */
+void init_by_array(uint32_t *init_key, int key_length) {
+    int i, j, count;
+    uint32_t r;
+    int lag;
+    int mid;
+    int size = N * 4;
+
+    if (size >= 623) {
+	lag = 11;
+    } else if (size >= 68) {
+	lag = 7;
+    } else if (size >= 39) {
+	lag = 5;
+    } else {
+	lag = 3;
+    }
+    mid = (size - lag) / 2;
+
+    memset(sfmt, 0x8b, sizeof(sfmt));
+    if (key_length + 1 > N32) {
+	count = key_length + 1;
+    } else {
+	count = N32;
+    }
+    r = func1(psfmt32[idxof(0)] ^ psfmt32[idxof(mid)] 
+	      ^ psfmt32[idxof(N32 - 1)]);
+    psfmt32[idxof(mid)] += r;
+    r += key_length;
+    psfmt32[idxof(mid + lag)] += r;
+    psfmt32[idxof(0)] = r;
+
+    count--;
+    for (i = 1, j = 0; (j < count) && (j < key_length); j++) {
+	r = func1(psfmt32[idxof(i)] ^ psfmt32[idxof((i + mid) % N32)] 
+		  ^ psfmt32[idxof((i + N32 - 1) % N32)]);
+	psfmt32[idxof((i + mid) % N32)] += r;
+	r += init_key[j] + i;
+	psfmt32[idxof((i + mid + lag) % N32)] += r;
+	psfmt32[idxof(i)] = r;
+	i = (i + 1) % N32;
+    }
+    for (; j < count; j++) {
+	r = func1(psfmt32[idxof(i)] ^ psfmt32[idxof((i + mid) % N32)] 
+		  ^ psfmt32[idxof((i + N32 - 1) % N32)]);
+	psfmt32[idxof((i + mid) % N32)] += r;
+	r += i;
+	psfmt32[idxof((i + mid + lag) % N32)] += r;
+	psfmt32[idxof(i)] = r;
+	i = (i + 1) % N32;
+    }
+    for (j = 0; j < N32; j++) {
+	r = func2(psfmt32[idxof(i)] + psfmt32[idxof((i + mid) % N32)] 
+		  + psfmt32[idxof((i + N32 - 1) % N32)]);
+	psfmt32[idxof((i + mid) % N32)] ^= r;
+	r -= i;
+	psfmt32[idxof((i + mid + lag) % N32)] ^= r;
+	psfmt32[idxof(i)] = r;
+	i = (i + 1) % N32;
+    }
+
+    idx = N32;
+    period_certification();
+    initialized = 1;
+}

common/sfmt/SFMT.h

+/** 
+ * @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
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#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
+
+uint32_t gen_rand32(void);
+uint64_t gen_rand64(void);
+void fill_array32(uint32_t *array, int size);
+void fill_array64(uint64_t *array, int size);
+void init_gen_rand(uint32_t seed);
+void init_by_array(uint32_t *init_key, int key_length);
+const char *get_idstring(void);
+int get_min_array_size32(void);
+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(void)
+{
+    return to_real1(gen_rand32());
+}
+
+/** 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 */
+inline static double genrand_real2(void)
+{
+    return to_real2(gen_rand32());
+}
+
+/** 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(void)
+{
+    return to_real3(gen_rand32());
+}
+/** 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(void) 
+{ 
+    return to_res53(gen_rand64());
+} 
+
+/** generates a random number on [0,1) with 53-bit resolution
+    using 32bit integer.
+ */
+inline static double genrand_res53_mix(void) 
+{ 
+    uint32_t x, y;
+
+    x = gen_rand32();
+    y = gen_rand32();
+    return to_res53_mix(x, y);
+} 
+#ifdef __cplusplus
+}
+#endif
+#endif