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vtkMersenneTwister_Private.cxx
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vtkMersenneTwister_Private.cxx
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/*=========================================================================
Program: Visualization Toolkit
Module: vtkMersenneTwister_Private.cxx
Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
All rights reserved.
See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notice for more information.
=========================================================================*/
/* Many thanks to M. Matsumoto, T. Nishimura and M. Saito for the following */
/* implementation of their algorithm, the Mersenne Twister, taken from */
/* http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/DC/dc.html */
/* Dynamic Creation (DC) of Mersenne Twister generators */
/* */
/* Reference: */
/* Makoto Matsumoto and Takuji Nishimura, */
/* "Dynamic Creation of Pseudorandom Number Generators", */
/* Monte Carlo and Quasi-Monte Carlo Methods 1998, */
/* Springer, 2000, pp 56--69. */
/*
Copyright (C) 2001-2009 Makoto Matsumoto and Takuji Nishimura.
Copyright (C) 2009 Mutsuo Saito
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.
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.
*/
/* A C-program for MT19937: Integer version (1999/10/28) */
/* genrand() generates one pseudorandom unsigned integer (32bit) */
/* which is uniformly distributed among 0 to 2^32-1 for each */
/* call. sgenrand(seed) sets initial values to the working area */
/* of 624 words. Before genrand(), sgenrand(seed) must be */
/* called once. (seed is any 32-bit integer.) */
/* Coded by Takuji Nishimura, considering the suggestions by */
/* Topher Cooper and Marc Rieffel in July-Aug. 1997. */
/* When you use this, send an email to: matumoto@math.keio.ac.jp */
/* with an appropriate reference to your work. */
/* REFERENCE */
/* M. Matsumoto and T. Nishimura, */
/* "Mersenne Twister: A 623-Dimensionally Equidistributed Uniform */
/* Pseudo-Random Number Generator", */
/* ACM Transactions on Modeling and Computer Simulation, */
/* Vol. 8, No. 1, January 1998, pp 3--30. */
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include "vtkType.h"
typedef vtkTypeUInt32 uint32_t;
typedef vtkTypeUInt8 uint8_t;
#ifndef UINT32_C
#ifndef UINT32_MAX
#define UINT32_MAX 0xffffffff
#endif
#define UINT32_C(x) ((x) + (UINT32_MAX - UINT32_MAX))
#endif
// dc.h
typedef struct _mt_struct {
uint32_t aaa;
int mm,nn,rr,ww;
uint32_t wmask,umask,lmask;
int shift0, shift1, shiftB, shiftC;
uint32_t maskB, maskC;
int i;
uint32_t *state;
}mt_struct;
/* old interface */
void init_dc(uint32_t seed);
mt_struct *get_mt_parameter(int w, int p);
mt_struct *get_mt_parameter_id(int w, int p, int id);
mt_struct **get_mt_parameters(int w, int p, int max_id, int *count);
/* new interface */
mt_struct *get_mt_parameter_st(int w, int p, uint32_t seed);
mt_struct *get_mt_parameter_id_st(int w, int p, int id, uint32_t seed);
mt_struct **get_mt_parameters_st(int w, int p, int start_id, int max_id,
uint32_t seed, int *count);
/* common */
void free_mt_struct(mt_struct *mts);
void free_mt_struct_array(mt_struct **mtss, int count);
void sgenrand_mt(uint32_t seed, mt_struct *mts);
uint32_t genrand_mt(mt_struct *mts);
// mt19937.h
#define N 624
typedef struct _ORG_STATE {
uint32_t mt[N];
int mti;
} _org_state;
void _sgenrand_dc(_org_state *st, uint32_t seed);
uint32_t _genrand_dc(_org_state *st);
// dci.h
#define NOT_REJECTED 1
#define REJECTED 0
#define REDU 0
#define IRRED 1
#define NONREDU 1
extern _org_state global_mt19937;
typedef struct Polynomial_t {int *x; int deg;} Polynomial;
typedef struct PRESCR_T {
int sizeofA; /* parameter size */
uint32_t **modlist;
Polynomial **preModPolys;
} prescr_t;
typedef struct CHECK32_T {
uint32_t upper_mask;
uint32_t lower_mask;
uint32_t word_mask;
} check32_t;
typedef struct EQDEG_T {
uint32_t bitmask[32];
uint32_t mask_b;
uint32_t mask_c;
uint32_t upper_v_bits;
int shift_0;
int shift_1;
int shift_s;
int shift_t;
int mmm;
int nnn;
int rrr;
int www;
uint32_t aaa[2];
uint32_t gupper_mask; /** most significant (WWW - RRR) bits **/
uint32_t glower_mask; /** least significant RRR bits **/
uint32_t greal_mask; /** upper WWW bitmask **/
int ggap; /** difference between machine wordsize and dest wordsize **/
int gcur_maxlengs[32]; /** for optimize_v_hard **/
uint32_t gmax_b, gmax_c;
} eqdeg_t;
int _prescreening_dc(prescr_t *pre, uint32_t aaa);
void _InitPrescreening_dc(prescr_t *pre, int m, int n, int r, int w);
void _EndPrescreening_dc(prescr_t *pre);
int _CheckPeriod_dc(check32_t *ck, _org_state *st,
uint32_t a, int m, int n, int r, int w);
void _get_tempering_parameter_dc(mt_struct *mts);
void _get_tempering_parameter_hard_dc(mt_struct *mts);
void _InitCheck32_dc(check32_t *ck, int r, int w);
// eqdeg.c
/**************************************/
#define SSS 7
#define TTT 15
/* #define S00 11 */
#define S00 12
#define S01 18
/**************************************/
/** for get_tempering_parameter_hard **/
#define LIMIT_V_BEST_OPT 15
/**************************************/
#define WORD_LEN 32
#define MIN_INFINITE (-2147483647-1)
typedef struct Vector_t{
uint32_t *cf; /* fraction part */ // status
int start; /* beginning of fraction part */ // idx
int count; /* maximum (degree) */
uint32_t next; /* (bp) rm (shifted&bitmasked) at the maximum degree */
} Vector;
typedef struct mask_node{
uint32_t b,c;
int v,leng;
struct mask_node *next;
} MaskNode;
static inline uint32_t trnstmp(eqdeg_t *eq, uint32_t tmp) {
tmp ^= (tmp >> eq->shift_0) & eq->greal_mask;
return tmp;
}
static inline uint32_t masktmp(eqdeg_t *eq, uint32_t tmp) {
tmp ^= (tmp << eq->shift_s) & eq->mask_b;
tmp ^= (tmp << eq->shift_t) & eq->mask_c;
return tmp;
}
static inline uint32_t lsb(eqdeg_t *eq, uint32_t x) {
return (x >> eq->ggap) & 1;
}
static const uint8_t pivot_calc_tbl[256] = {
0, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
4, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
3, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
4, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
2, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
4, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
3, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
4, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
1, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
4, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
3, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
4, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
2, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
4, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
3, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
4, 8, 7, 8, 6, 8, 7, 8, 5, 8, 7, 8, 6, 8, 7, 8,
};
static int calc_pivot(uint32_t v);
static int push_stack(eqdeg_t *eq, uint32_t b, uint32_t c,
int v, uint32_t *bbb, uint32_t *ccc);
static int push_mask(eqdeg_t * eq, int l, int v,
uint32_t b, uint32_t c, uint32_t *bbb, uint32_t *ccc);
static int pivot_reduction(eqdeg_t *eq, int v);
static void init_tempering(eqdeg_t *eq, mt_struct *mts);
static void freeVector_t( Vector *v );
static void free_lattice( Vector **lattice, int v);
static void add(int nnn, Vector *u, Vector *v);
static void optimize_v(eqdeg_t *eq, uint32_t b, uint32_t c, int v);
static MaskNode *optimize_v_hard(eqdeg_t *eq, int v, MaskNode *prev);
static Vector *newVector_t(int nnn);
static Vector **make_lattice(eqdeg_t *eq, int v);
static void delete_MaskNodes(MaskNode *head);
static MaskNode *delete_lower_MaskNodes(MaskNode *head, int l);
static MaskNode *cons_MaskNode(MaskNode *head, uint32_t b, uint32_t c, int leng);
/* static void count_MaskNodes(MaskNode *head); */
static void next_state(eqdeg_t *eq, Vector *v, int *count);
void _get_tempering_parameter_dc(mt_struct *mts)
{
eqdeg_t eq;
init_tempering(&eq, mts);
optimize_v(&eq, 0, 0, 0);
mts->shift0 = eq.shift_0;
mts->shift1 = eq.shift_1;
mts->shiftB = eq.shift_s;
mts->shiftC = eq.shift_t;
mts->maskB = eq.mask_b >> eq.ggap;
mts->maskC = eq.mask_c >> eq.ggap;
}
void _get_tempering_parameter_hard_dc(mt_struct *mts)
{
int i;
MaskNode mn0, *cur, *next;
eqdeg_t eq;
init_tempering(&eq, mts);
for (i=0; i<eq.www; i++)
eq.gcur_maxlengs[i] = -1;
mn0.b = mn0.c = mn0.leng = 0;
mn0.next = nullptr;
cur = &mn0;
for (i=0; i<LIMIT_V_BEST_OPT; i++) {
next = optimize_v_hard(&eq, i, cur);
if (i > 0)
delete_MaskNodes(cur);
cur = next;
}
delete_MaskNodes(cur);
optimize_v(&eq, eq.gmax_b, eq.gmax_c,i);
mts->shift0 = eq.shift_0;
mts->shift1 = eq.shift_1;
mts->shiftB = eq.shift_s;
mts->shiftC = eq.shift_t;
mts->maskB = eq.mask_b >> eq.ggap;
mts->maskC = eq.mask_c >> eq.ggap;
/* show_distrib(mts); */
}
static int calc_pivot(uint32_t v) {
int p1, p2, p3, p4;
p1 = pivot_calc_tbl[v & 0xff];
if (p1) {
return p1 + 24 - 1;
}
p2 = pivot_calc_tbl[(v >> 8) & 0xff];
if (p2) {
return p2 + 16 - 1;
}
p3 = pivot_calc_tbl[(v >> 16) & 0xff];
if (p3) {
return p3 + 8 - 1;
}
p4 = pivot_calc_tbl[(v >> 24) & 0xff];
if (p4) {
return p4 - 1;
}
return -1;
}
static int is_zero(int size, Vector *v) {
if (v->cf[0] != 0) {
return 0;
} else {
return (memcmp(v->cf, v->cf + 1, sizeof(uint32_t) * (size - 1)) == 0);
}
}
static void init_tempering(eqdeg_t *eq, mt_struct *mts)
{
int i;
eq->mmm = mts->mm;
eq->nnn = mts->nn;
eq->rrr = mts->rr;
eq->www = mts->ww;
eq->shift_0 = S00;
eq->shift_1 = S01;
eq->shift_s = SSS;
eq->shift_t = TTT;
eq->ggap = WORD_LEN - eq->www;
/* bits are filled in mts->aaa from MSB */
eq->aaa[0] = 0; eq->aaa[1] = (mts->aaa) << eq->ggap;
for( i=0; i<WORD_LEN; i++)
eq->bitmask[i] = UINT32_C(0x80000000) >> i;
for( i=0, eq->glower_mask=0; i<eq->rrr; i++)
eq->glower_mask = (eq->glower_mask<<1)| 0x1;
eq->gupper_mask = ~eq->glower_mask;
eq->gupper_mask <<= eq->ggap;
eq->glower_mask <<= eq->ggap;
eq->greal_mask = (eq->gupper_mask | eq->glower_mask);
}
/* (v-1) bitmasks of b,c */
static MaskNode *optimize_v_hard(eqdeg_t *eq, int v, MaskNode *prev_masks)
{
int i, ll, t;
uint32_t bbb[8], ccc[8];
MaskNode *cur_masks;
cur_masks = nullptr;
while (prev_masks != nullptr) {
ll = push_stack(eq, prev_masks->b,prev_masks->c,v,bbb,ccc);
for (i=0; i<ll; ++i) {
eq->mask_b = bbb[i];
eq->mask_c = ccc[i];
t = pivot_reduction(eq, v+1);
if (t >= eq->gcur_maxlengs[v]) {
eq->gcur_maxlengs[v] = t;
eq->gmax_b = eq->mask_b;
eq->gmax_c = eq->mask_c;
cur_masks = cons_MaskNode(cur_masks, eq->mask_b, eq->mask_c, t);
}
}
prev_masks = prev_masks->next;
}
cur_masks = delete_lower_MaskNodes(cur_masks, eq->gcur_maxlengs[v]);
return cur_masks;
}
/* (v-1) bitmasks of b,c */
static void optimize_v(eqdeg_t *eq, uint32_t b, uint32_t c, int v)
{
int i, max_len, max_i, ll, t;
uint32_t bbb[8], ccc[8];
ll = push_stack(eq, b,c,v,bbb,ccc);
max_len = max_i = 0;
if (ll > 1) {
for (i=0; i<ll; ++i) {
eq->mask_b = bbb[i];
eq->mask_c = ccc[i];
t = pivot_reduction(eq, v+1);
if (t > max_len) {
max_len = t;
max_i = i;
}
}
}
if ( v >= eq->www-1 ) {
eq->mask_b = bbb[max_i];
eq->mask_c = ccc[max_i];
return;
}
optimize_v(eq, bbb[max_i], ccc[max_i], v+1);
}
static int push_stack(eqdeg_t *eq, uint32_t b, uint32_t c, int v,
uint32_t *bbb, uint32_t *ccc)
{
int i, ll, ncv;
uint32_t cv_buf[2];
ll = 0;
if( (v+eq->shift_t) < eq->www ){
ncv = 2; cv_buf[0] = c | eq->bitmask[v]; cv_buf[1] = c;
}
else {
ncv = 1; cv_buf[0] = c;
}
for( i=0; i<ncv; ++i)
ll += push_mask(eq, ll, v, b, cv_buf[i], bbb, ccc);
return ll;
}
static int push_mask(eqdeg_t *eq, int l, int v, uint32_t b, uint32_t c,
uint32_t *bbb, uint32_t *ccc)
{
int i, j, k, nbv, nbvt;
uint32_t bmask, bv_buf[2], bvt_buf[2];
k = l;
if( (eq->shift_s+v) >= eq->www ){
nbv = 1; bv_buf[0] = 0;
}
else if( (v>=eq->shift_t) && (c&eq->bitmask[v-eq->shift_t] ) ){
nbv = 1; bv_buf[0] = b&eq->bitmask[v];
}
else {
nbv = 2; bv_buf[0] = eq->bitmask[v]; bv_buf[1] = 0;
}
if( ((v+eq->shift_t+eq->shift_s) < eq->www) && (c&eq->bitmask[v]) ){
nbvt = 2; bvt_buf[0] = eq->bitmask[v+eq->shift_t]; bvt_buf[1] = 0;
}
else {
nbvt = 1; bvt_buf[0] = 0;
}
bmask = eq->bitmask[v];
if( (v+eq->shift_t) < eq->www )
bmask |= eq->bitmask[v+eq->shift_t];
bmask = ~bmask;
for( i=0; i<nbvt; ++i){
for( j=0; j<nbv; ++j){
bbb[k] = (b&bmask) | bv_buf[j] | bvt_buf[i];
ccc[k] = c;
++k;
}
}
return k-l;
}
/**********************************/
/**** subroutines for lattice ****/
/**********************************/
static int pivot_reduction(eqdeg_t *eq, int v)
{
Vector **lattice, *ltmp;
int i;
int pivot;
int count;
int min;
eq->upper_v_bits = 0;
for( i=0; i<v; i++) {
eq->upper_v_bits |= eq->bitmask[i];
}
lattice = make_lattice(eq, v );
for (;;) {
pivot = calc_pivot(lattice[v]->next);
if (lattice[pivot]->count < lattice[v]->count) {
ltmp = lattice[pivot];
lattice[pivot] = lattice[v];
lattice[v] = ltmp;
}
add(eq->nnn, lattice[v], lattice[pivot]);
if (lattice[v]->next == 0) {
count = 0;
next_state(eq, lattice[v], &count);
if (lattice[v]->next == 0) {
if (is_zero(eq->nnn, lattice[v])) {
break;
}
while (lattice[v]->next == 0) {
count++;
next_state(eq, lattice[v], &count);
if (count > eq->nnn * (eq->www-1) - eq->rrr) {
break;
}
}
if (lattice[v]->next == 0) {
break;
}
}
}
}
min = lattice[0]->count;
for (i = 1; i < v; i++) {
if (min > lattice[i]->count) {
min = lattice[i]->count;
}
}
free_lattice( lattice, v );
return min;
}
/********************************/
/** allocate momory for Vector **/
/********************************/
static Vector *newVector_t(int nnn)
{
Vector *v;
v = (Vector *)malloc( sizeof( Vector ) );
if( v == nullptr ){
printf("malloc error in \"newVector_t()\"\n");
exit(1);
}
v->cf = (uint32_t *)calloc( nnn, sizeof( uint32_t ) );
if( v->cf == nullptr ){
printf("calloc error in \"newVector_t()\"\n");
exit(1);
}
v->start = 0;
return v;
}
/************************************************/
/* frees *v which was allocated by newVector_t() */
/************************************************/
static void freeVector_t( Vector *v )
{
if( nullptr != v->cf ) free( v->cf );
if( nullptr != v ) free( v );
}
static void free_lattice( Vector **lattice, int v)
{
int i;
for( i=0; i<=v; i++)
freeVector_t( lattice[i] );
free( lattice );
}
/* adds v to u (then u will change) */
static void add(int nnn, Vector *u, Vector *v)
{
int i;
int diff = (v->start - u->start + nnn) % nnn;
for (i = 0; i < nnn - diff; i++) {
u->cf[i] ^= v->cf[i + diff];
}
diff = diff - nnn;
for (; i < nnn; i++) {
u->cf[i] ^= v->cf[i + diff];
}
u->next ^= v->next;
}
/* makes a initial lattice */
static Vector **make_lattice(eqdeg_t *eq, int v)
{
int i;
int count;
Vector **lattice, *bottom;
lattice = (Vector **)malloc( (v+1) * sizeof( Vector *) );
if( nullptr == lattice ){
printf("malloc error in \"make_lattice\"\n");
exit(1);
}
for( i=0; i<v; i++){ /* from 0th row to v-1-th row */
lattice[i] = newVector_t(eq->nnn);
lattice[i]->next = eq->bitmask[i];
lattice[i]->start = 0;
lattice[i]->count = 0;
}
bottom = newVector_t(eq->nnn); /* last row */
for(i=0; i< eq->nnn; i++) {
bottom->cf[i] = 0;
}
bottom->cf[eq->nnn -1] = 0xc0000000 & eq->greal_mask;
bottom->start = 0;
bottom->count = 0;
count = 0;
do {
next_state(eq, bottom, &count);
} while (bottom->next == 0);
// degree_of_vector(eq, top );
lattice[v] = bottom;
return lattice;
}
static void next_state(eqdeg_t *eq, Vector *v, int *count) {
uint32_t tmp;
do {
tmp = ( v->cf[v->start] & eq->gupper_mask )
| ( v->cf[(v->start + 1) % eq->nnn] & eq->glower_mask );
v->cf[v->start] = v->cf[(v->start + eq->mmm) % eq->nnn]
^ ( (tmp>>1) ^ eq->aaa[lsb(eq, tmp)] );
v->cf[v->start] &= eq->greal_mask;
tmp = v->cf[v->start];
v->start = (v->start + 1) % eq->nnn;
v->count++;
tmp = trnstmp(eq, tmp);
tmp = masktmp(eq, tmp);
v->next = tmp & eq->upper_v_bits;
(*count)++;
if (*count > eq->nnn * (eq->www-1) - eq->rrr) {
break;
}
} while (v->next == 0);
}
/***********/
static MaskNode *cons_MaskNode(MaskNode *head, uint32_t b, uint32_t c, int leng)
{
MaskNode *t;
t = (MaskNode*)malloc(sizeof(MaskNode));
if (t == nullptr) {
printf("malloc error in \"cons_MaskNode\"\n");
exit(1);
}
t->b = b;
t->c = c;
t->leng = leng;
t->next = head;
return t;
}
static void delete_MaskNodes(MaskNode *head)
{
MaskNode *t;
while(head != nullptr) {
t = head->next;
free(head);
head = t;
}
}
static MaskNode *delete_lower_MaskNodes(MaskNode *head, int l)
{
MaskNode *s, *t, *tail;
s = head;
for(;;) { /* heading */
if (s == nullptr)
return nullptr;
if (s->leng >= l)
break;
t = s->next;
free(s);
s = t;
}
head = tail = s;
while (head != nullptr) {
t = head->next;
if (head->leng < l) {
free(head);
head = nullptr;
}
else {
tail->next = head;
tail = head;
}
head = t;
}
tail->next = nullptr;
return s;
}
// mt19937.c
/* Period parameters */
/* #define N 624 */
#define M 397
#define MATRIX_A UINT32_C(0x9908b0df) /* constant vector a */
#define UPPER_MASK UINT32_C(0x80000000) /* most significant w-r bits */
#define LOWER_MASK UINT32_C(0x7fffffff) /* least significant r bits */
/* Tempering parameters */
#define TEMPERING_MASK_B UINT32_C(0x9d2c5680)
#define TEMPERING_MASK_C UINT32_C(0xefc60000)
#define TEMPERING_SHIFT_U(y) (y >> 11)
#define TEMPERING_SHIFT_S(y) (y << 7)
#define TEMPERING_SHIFT_T(y) (y << 15)
#define TEMPERING_SHIFT_L(y) (y >> 18)
/* Initializing the array with a seed */
void _sgenrand_dc(_org_state *st, uint32_t seed)
{
int i;
for (i=0;i<N;i++) {
st->mt[i] = seed;
seed = (UINT32_C(1812433253) * (seed ^ (seed >> 30))) + i + 1;
/* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
/* In the previous versions, MSBs of the seed affect */
/* only MSBs of the array mt[]. */
}
st->mti = N;
}
uint32_t _genrand_dc(_org_state *st)
{
uint32_t y;
static const uint32_t mag01[2]={0x0, MATRIX_A};
/* mag01[x] = x * MATRIX_A for x=0,1 */
if (st->mti >= N) { /* generate N words at one time */
int kk;
for (kk=0;kk<N-M;kk++) {
y = (st->mt[kk]&UPPER_MASK)|(st->mt[kk+1]&LOWER_MASK);
st->mt[kk] = st->mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1];
}
for (;kk<N-1;kk++) {
y = (st->mt[kk]&UPPER_MASK)|(st->mt[kk+1]&LOWER_MASK);
st->mt[kk] = st->mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1];
}
y = (st->mt[N-1]&UPPER_MASK)|(st->mt[0]&LOWER_MASK);
st->mt[N-1] = st->mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1];
st->mti = 0;
}
y = st->mt[st->mti++];
y ^= TEMPERING_SHIFT_U(y);
y ^= TEMPERING_SHIFT_S(y) & TEMPERING_MASK_B;
y ^= TEMPERING_SHIFT_T(y) & TEMPERING_MASK_C;
y ^= TEMPERING_SHIFT_L(y);
return y;
}
// seive.c
#define WORDLEN 32
#define LSB 0x1
#define MAX_SEARCH 10000
_org_state global_mt19937;
/*******************************************************************/
static uint32_t nextA(_org_state *org, int w);
static uint32_t nextA_id(_org_state *org, int w, int id, int idw);
static void make_masks(int r, int w, mt_struct *mts);
static int get_irred_param(check32_t *ck, prescr_t *pre, _org_state *org,
mt_struct *mts,int id, int idw);
static mt_struct *alloc_mt_struct(int n);
static mt_struct *init_mt_search(check32_t *ck, prescr_t *pre, int w, int p);
static void end_mt_search(prescr_t *pre);
static void copy_params_of_mt_struct(mt_struct *src, mt_struct *dst);
static int proper_mersenne_exponent(int p);
/*******************************************************************/
/* When idw==0, id is not embedded into "a" */
#define FOUND 1
#define NOT_FOUND 0
static int get_irred_param(check32_t *ck, prescr_t *pre, _org_state *org,
mt_struct *mts, int id, int idw)
{
int i;
uint32_t a;
for (i=0; i<MAX_SEARCH; i++) {
if (idw == 0)
a = nextA(org, mts->ww);
else
a = nextA_id(org, mts->ww, id, idw);
if (NOT_REJECTED == _prescreening_dc(pre, a) ) {
if (IRRED
== _CheckPeriod_dc(ck, org, a,mts->mm,mts->nn,mts->rr,mts->ww)) {
mts->aaa = a;
break;
}
}
}
if (MAX_SEARCH == i) return NOT_FOUND;
return FOUND;
}
static uint32_t nextA(_org_state *org, int w)
{
uint32_t x, word_mask;
word_mask = 0xFFFFFFFF;
word_mask <<= WORDLEN - w;
word_mask >>= WORDLEN - w;
x = _genrand_dc(org);
x &= word_mask;
x |= (LSB << (w-1));
return x;
}
static uint32_t nextA_id(_org_state *org, int w, int id, int idw)
{
uint32_t x, word_mask;
word_mask = 0xFFFFFFFF;
word_mask <<= WORDLEN - w;
word_mask >>= WORDLEN - w;
word_mask >>= idw;
word_mask <<= idw;
x = _genrand_dc(org);
x &= word_mask;
x |= (LSB << (w-1));
x |= (uint32_t)id; /* embedding id */
return x;
}
static void make_masks(int r, int w, mt_struct *mts)
{
int i;
uint32_t ut, wm, um, lm;
wm = 0xFFFFFFFF;
wm >>= (WORDLEN - w);
ut = 0;
for (i=0; i<r; i++) {
ut <<= 1;
ut |= LSB;
}
lm = ut;
um = (~ut) & wm;
mts->wmask = wm;
mts->umask = um;
mts->lmask = lm;
}
static mt_struct *init_mt_search(check32_t *ck, prescr_t *pre, int w, int p)
{
int n, m, r;
mt_struct *mts;
if ( (w>32) || (w<31) ) {
printf ("Sorry, currently only w = 32 or 31 is allowded.\n");
return nullptr;
}
if ( !proper_mersenne_exponent(p) ) {
if (p<521) {
printf ("\"p\" is too small.\n");
return nullptr;
}
else if (p>44497){
printf ("\"p\" is too large.\n");
return nullptr;
}
else {
printf ("\"p\" is not a Mersenne exponent.\n");
return nullptr;
}
}
n = p/w + 1; /* since p is Mersenne Exponent, w never divids p */
mts = alloc_mt_struct(n);
if (nullptr == mts) return nullptr;
m = n/2;
if (m < 2) m = n-1;
r = n * w - p;
make_masks(r, w, mts);
_InitPrescreening_dc(pre, m, n, r, w);
_InitCheck32_dc(ck, r, w);
mts->mm = m;
mts->nn = n;
mts->rr = r;
mts->ww = w;
return mts;
}
static void end_mt_search(prescr_t *pre)
{
_EndPrescreening_dc(pre);
}
/*
w -- word size
p -- Mersenne Exponent
seed -- seed for original mt19937 to generate parameter.
*/
mt_struct *get_mt_parameter_st(int w, int p, uint32_t seed)
{
mt_struct *mts;
prescr_t pre;
_org_state org;
check32_t ck;
_sgenrand_dc(&org, seed);
mts = init_mt_search(&ck, &pre, w, p);
if (mts == nullptr) return nullptr;
if ( NOT_FOUND == get_irred_param(&ck, &pre, &org, mts,0,0) ) {
free_mt_struct(mts);
return nullptr;
}
_get_tempering_parameter_hard_dc(mts);
end_mt_search(&pre);
return mts;
}
/*
w -- word size
p -- Mersenne Exponent
*/
mt_struct *get_mt_parameter(int w, int p)
{
mt_struct *mts;
prescr_t pre;
check32_t ck;
mts = init_mt_search(&ck, &pre, w, p);
if (mts == nullptr) return nullptr;
if ( NOT_FOUND == get_irred_param(&ck, &pre, &global_mt19937, mts,0,0) ) {
free_mt_struct(mts);