/*
A C-program for MT19937, with initialization improved 2002/1/26.
Coded by Takuji Nishimura and Makoto Matsumoto.
Before using, initialize the state by using init_genrand(seed)
or init_by_array(init_key, key_length).
Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:
1. Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
2. 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.
3. The names of its contributors may not 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.
Any feedback is very welcome.
http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html
email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space)
*/
#include <stdio.h>
/* Period parameters */
#define N 624
#define M 397
#define MATRIX_A 0x9908b0dfUL /* constant vector a */
#define UPPER_MASK 0x80000000UL /* most significant w-r bits */
#define LOWER_MASK 0x7fffffffUL /* least significant r bits */
static unsigned long mt[N]; /* the array for the state vector */
static int mti=N+1; /* mti==N+1 means mt[N] is not initialized */
/* initializes mt[N] with a seed */
void init_genrand(unsigned long s)
{
mt[0]= s & 0xffffffffUL;
for (mti=1; mti<N; mti++) {
mt[mti] =
(1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti);
/* 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[]. */
/* 2002/01/09 modified by Makoto Matsumoto */
mt[mti] &= 0xffffffffUL;
/* for >32 bit machines */
}
}
/* initialize by an array with array-length */
/* init_key is the array for initializing keys */
/* key_length is its length */
/* slight change for C++, 2004/2/26 */
void init_by_array(unsigned long init_key[], int key_length)
{
int i, j, k;
init_genrand(19650218UL);
i=1; j=0;
k = (N>key_length ? N : key_length);
for (; k; k--) {
mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525UL))
+ init_key[j] + j; /* non linear */
mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
i++; j++;
if (i>=N) { mt[0] = mt[N-1]; i=1; }
if (j>=key_length) j=0;
}
for (k=N-1; k; k--) {
mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941UL))
- i; /* non linear */
mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
i++;
if (i>=N) { mt[0] = mt[N-1]; i=1; }
}
mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */
}
/* generates a random number on [0,0xffffffff]-interval */
unsigned long genrand_int32(void)
{
unsigned long y;
static unsigned long mag01[2]={0x0UL, MATRIX_A};
/* mag01[x] = x * MATRIX_A for x=0,1 */
if (mti >= N) { /* generate N words at one time */
int kk;
if (mti == N+1) /* if init_genrand() has not been called, */
init_genrand(5489UL); /* a default initial seed is used */
for (kk=0;kk<N-M;kk++) {
y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1UL];
}
for (;kk<N-1;kk++) {
y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1UL];
}
y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK);
mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1UL];
mti = 0;
}
y = mt[mti++];
/* Tempering */
y ^= (y >> 11);
y ^= (y << 7) & 0x9d2c5680UL;
y ^= (y << 15) & 0xefc60000UL;
y ^= (y >> 18);
return y;
}
/* generates a random number on [0,0x7fffffff]-interval */
long genrand_int31(void)
{
return (long)(genrand_int32()>>1);
}
/* generates a random number on [0,1]-real-interval */
double genrand_real1(void)
{
return genrand_int32()*(1.0/4294967295.0);
/* divided by 2^32-1 */
}
/* generates a random number on [0,1)-real-interval */
double genrand_real2(void)
{
return genrand_int32()*(1.0/4294967296.0);
/* divided by 2^32 */
}
/* generates a random number on (0,1)-real-interval */
double genrand_real3(void)
{
return (((double)genrand_int32()) + 0.5)*(1.0/4294967296.0);
/* divided by 2^32 */
}
/* generates a random number on [0,1) with 53-bit resolution*/
double genrand_res53(void)
{
unsigned long a=genrand_int32()>>5, b=genrand_int32()>>6;
return(a*67108864.0+b)*(1.0/9007199254740992.0);
}
/* These real versions are due to Isaku Wada, 2002/01/09 added */
int main(void)
{
int i;
unsigned long init[4]={0x123, 0x234, 0x345, 0x456}, length=4;
init_by_array(init, length);
printf("1000 outputs of genrand_int32()\n");
for (i=0; i<1000; i++) {
printf("%10lu ", genrand_int32());
if (i%5==4) printf("\n");
}
printf("\n1000 outputs of genrand_real2()\n");
for (i=0; i<1000; i++) {
printf("%10.8f ", genrand_real2());
if (i%5==4) printf("\n");
}
return 0;
}
E:\tcc>tcc -run a1.c
1000 outputs of genrand_int32()
1067595299 955945823 477289528 4107218783 4228976476
3344332714 3355579695 227628506 810200273 2591290167
2560260675 3242736208 646746669 1479517882 4245472273
1143372638 3863670494 3221021970 1773610557 1138697238
1421897700 1269916527 2859934041 1764463362 3874892047
3965319921 72549643 2383988930 2600218693 3237492380
2792901476 725331109 605841842 271258942 715137098
3297999536 1322965544 4229579109 1395091102 3735697720
2101727825 3730287744 2950434330 1661921839 2895579582
2370511479 1004092106 2247096681 2111242379 3237345263
4082424759 219785033 2454039889 3709582971 835606218
2411949883 2735205030 756421180 2175209704 1873865952
2762534237 4161807854 3351099340 181129879 3269891896
776029799 2218161979 3001745796 1866825872 2133627728
34862734 1191934573 3102311354 2916517763 1012402762
2184831317 4257399449 2899497138 3818095062 3030756734
1282161629 420003642 2326421477 2741455717 1278020671
3744179621 271777016 2626330018 2560563991 3055977700
4233527566 1228397661 3595579322 1077915006 2395931898
1851927286 3013683506 1999971931 3006888962 1049781534
1488758959 3491776230 104418065 2448267297 3075614115
3872332600 891912190 3936547759 2269180963 2633455084
1047636807 2604612377 2709305729 1952216715 207593580
2849898034 670771757 2210471108 467711165 263046873
3569667915 1042291111 3863517079 1464270005 2758321352
3790799816 2301278724 3106281430 7974801 2792461636
555991332 621766759 1322453093 853629228 686962251
1455120532 957753161 1802033300 1021534190 3486047311
1902128914 3701138056 4176424663 1795608698 560858864
3737752754 3141170998 1553553385 3367807274 711546358
2475125503 262969859 251416325 2980076994 1806565895
969527843 3529327173 2736343040 2987196734 1649016367
2206175811 3048174801 3662503553 3138851612 2660143804
1663017612 1816683231 411916003 3887461314 2347044079
1015311755 1203592432 2170947766 2569420716 813872093
1105387678 1431142475 220570551 4243632715 4179591855
2607469131 3090613241 282341803 1734241730 1391822177
1001254810 827927915 1886687171 3935097347 2631788714
3905163266 110554195 2447955646 3717202975 3304793075
3739614479 3059127468 953919171 2590123714 1132511021
3795593679 2788030429 982155079 3472349556 859942552
2681007391 2299624053 647443547 233600422 608168955
3689327453 1849778220 1608438222 3968158357 2692977776
2851872572 246750393 3582818628 3329652309 4036366910
1012970930 950780808 3959768744 2538550045 191422718
2658142375 3276369011 2927737484 1234200027 1920815603
3536074689 1535612501 2184142071 3276955054 428488088
2378411984 4059769550 3913744741 2732139246 64369859
3755670074 842839565 2819894466 2414718973 1010060670
1839715346 2410311136 152774329 3485009480 4102101512
2852724304 879944024 1785007662 2748284463 1354768064
3267784736 2269127717 3001240761 3179796763 895723219
865924942 4291570937 89355264 1471026971 4114180745
3201939751 2867476999 2460866060 3603874571 2238880432
3308416168 2072246611 2755653839 3773737248 1709066580
4282731467 2746170170 2832568330 433439009 3175778732
26248366 2551382801 183214346 3893339516 1928168445
1337157619 3429096554 3275170900 1782047316 4264403756
1876594403 4289659572 3223834894 1728705513 4068244734
2867840287 1147798696 302879820 1730407747 1923824407
1180597908 1569786639 198796327 560793173 2107345620
2705990316 3448772106 3678374155 758635715 884524671
486356516 1774865603 3881226226 2635213607 1181121587
1508809820 3178988241 1594193633 1235154121 326117244
2304031425 937054774 2687415945 3192389340 2003740439
1823766188 2759543402 10067710 1533252662 4132494984
82378136 420615890 3467563163 541562091 3535949864
2277319197 3330822853 3215654174 4113831979 4204996991
2162248333 3255093522 2219088909 2978279037 255818579
2859348628 3097280311 2569721123 1861951120 2907080079
2719467166 998319094 2521935127 2404125338 259456032
2086860995 1839848496 1893547357 2527997525 1489393124
2860855349 76448234 2264934035 744914583 2586791259
1385380501 66529922 1819103258 1899300332 2098173828
1793831094 276463159 360132945 4178212058 595015228
177071838 2800080290 1573557746 1548998935 378454223
1460534296 1116274283 3112385063 3709761796 827999348
3580042847 1913901014 614021289 4278528023 1905177404
45407939 3298183234 1184848810 3644926330 3923635459
1627046213 3677876759 969772772 1160524753 1522441192
452369933 1527502551 832490847 1003299676 1071381111
2891255476 973747308 4086897108 1847554542 3895651598
2227820339 1621250941 2881344691 3583565821 3510404498
849362119 862871471 797858058 2867774932 2821282612
3272403146 3997979905 209178708 1805135652 6783381
2823361423 792580494 4263749770 776439581 3798193823
2853444094 2729507474 1071873341 1329010206 1289336450
3327680758 2011491779 80157208 922428856 1158943220
1667230961 2461022820 2608845159 387516115 3345351910
1495629111 4098154157 3156649613 3525698599 4134908037
446713264 2137537399 3617403512 813966752 1157943946
3734692965 1680301658 3180398473 3509854711 2228114612
1008102291 486805123 863791847 3189125290 1050308116
3777341526 4291726501 844061465 1347461791 2826481581
745465012 2055805750 4260209475 2386693097 2980646741
447229436 2077782664 1232942813 4023002732 1399011509
3140569849 2579909222 3794857471 900758066 2887199683
1720257997 3367494931 2668921229 955539029 3818726432
1105704962 3889207255 2277369307 2746484505 1761846513
2413916784 2685127085 4240257943 1166726899 4215215715
3082092067 3960461946 1663304043 2087473241 4162589986
2507310778 1579665506 767234210 970676017 492207530
1441679602 1314785090 3262202570 3417091742 1561989210
3011406780 1146609202 3262321040 1374872171 1634688712
1280458888 2230023982 419323804 3262899800 39783310
1641619040 1700368658 2207946628 2571300939 2424079766
780290914 2715195096 3390957695 163151474 2309534542
1860018424 555755123 280320104 1604831083 2713022383
1728987441 3639955502 623065489 3828630947 4275479050
3516347383 2343951195 2430677756 635534992 3868699749
808442435 3070644069 4282166003 2093181383 2023555632
1568662086 3422372620 4134522350 3016979543 3259320234
2888030729 3185253876 4258779643 1267304371 1022517473
815943045 929020012 2995251018 3371283296 3608029049
2018485115 122123397 2810669150 1411365618 1238391329
1186786476 3155969091 2242941310 1765554882 279121160
4279838515 1641578514 3796324015 13351065 103516986
1609694427 551411743 2493771609 1316337047 3932650856
4189700203 463397996 2937735066 1855616529 2626847990
55091862 3823351211 753448970 4045045500 1274127772
1124182256 92039808 2126345552 425973257 386287896
2589870191 1987762798 4084826973 2172456685 3366583455
3602966653 2378803535 2901764433 3716929006 3710159000
2653449155 3469742630 3096444476 3932564653 2595257433
318974657 3146202484 853571438 144400272 3768408841
782634401 2161109003 570039522 1886241521 14249488
2230804228 1604941699 3928713335 3921942509 2155806892
134366254 430507376 1924011722 276713377 196481886
3614810992 1610021185 1785757066 851346168 3761148643
2918835642 3364422385 3012284466 3735958851 2643153892
3778608231 1164289832 205853021 2876112231 3503398282
3078397001 3472037921 1748894853 2740861475 316056182
1660426908 168885906 956005527 3984354789 566521563
1001109523 1216710575 2952284757 3834433081 3842608301
2467352408 3974441264 3256601745 1409353924 1329904859
2307560293 3125217879 3622920184 3832785684 3882365951
2308537115 2659155028 1450441945 3532257603 3186324194
1225603425 1124246549 175808705 3009142319 2796710159
3651990107 160762750 1902254979 1698648476 1134980669
497144426 3302689335 4057485630 3603530763 4087252587
427812652 286876201 823134128 1627554964 3745564327
2589226092 4202024494 62878473 3275585894 3987124064
2791777159 1916869511 2585861905 1375038919 1403421920
60249114 3811870450 3021498009 2612993202 528933105
2757361321 3341402964 2621861700 273128190 4015252178
3094781002 1621621288 2337611177 1796718448 1258965619
4241913140 2138560392 3022190223 4174180924 450094611
3274724580 617150026 2704660665 1469700689 1341616587
356715071 1188789960 2278869135 1766569160 2795896635
57824704 2893496380 1235723989 1630694347 3927960522
428891364 1814070806 2287999787 4125941184 3968103889
3548724050 1025597707 1404281500 2002212197 92429143
2313943944 2403086080 3006180634 3561981764 1671860914
1768520622 1803542985 844848113 3006139921 1410888995
1157749833 2125704913 1789979528 1799263423 741157179
2405862309 767040434 2655241390 3663420179 2172009096
2511931187 1680542666 231857466 1154981000 157168255
1454112128 3505872099 1929775046 2309422350 2143329496
2960716902 407610648 2938108129 2581749599 538837155
2342628867 430543915 740188568 1937713272 3315215132
2085587024 4030765687 766054429 3517641839 689721775
1294158986 1753287754 4202601348 1974852792 33459103
3568087535 3144677435 1686130825 4134943013 3005738435
3599293386 426570142 754104406 3660892564 1964545167
829466833 821587464 1746693036 1006492428 1595312919
1256599985 1024482560 1897312280 2902903201 691790057
1037515867 3176831208 1968401055 2173506824 1089055278
1748401123 2941380082 968412354 1818753861 2973200866
3875951774 1119354008 3988604139 1647155589 2232450826
3486058011 3655784043 3759258462 847163678 1082052057
989516446 2871541755 3196311070 3929963078 658187585
3664944641 2175149170 2203709147 2756014689 2456473919
3890267390 1293787864 2830347984 3059280931 4158802520
1561677400 2586570938 783570352 1355506163 31495586
3789437343 3340549429 2092501630 896419368 671715824
3530450081 3603554138 1055991716 3442308219 1499434728
3130288473 3639507000 17769680 2259741420 487032199
4227143402 3693771256 1880482820 3924810796 381462353
4017855991 2452034943 2736680833 2209866385 2128986379
437874044 595759426 641721026 1636065708 3899136933
629879088 3591174506 351984326 2638783544 2348444281
2341604660 2123933692 143443325 1525942256 364660499
599149312 939093251 1523003209 106601097 376589484
1346282236 1297387043 764598052 3741218111 933457002
1886424424 3219631016 525405256 3014235619 323149677
2038881721 4100129043 2851715101 2984028078 1888574695
2014194741 3515193880 4180573530 3461824363 2641995497
3179230245 2902294983 2217320456 4040852155 1784656905
3311906931 87498458 2752971818 2635474297 2831215366
3682231106 2920043893 3772929704 2816374944 309949752
2383758854 154870719 385111597 1191604312 1840700563
872191186 2925548701 1310412747 2102066999 1504727249
3574298750 1191230036 3330575266 3180292097 3539347721
681369118 3305125752 3648233597 950049240 4173257693
1760124957 512151405 681175196 580563018 1169662867
4015033554 2687781101 699691603 2673494188 1137221356
123599888 472658308 1053598179 1012713758 3481064843
3759461013 3981457956 3830587662 1877191791 3650996736
988064871 3515461600 4089077232 2225147448 1249609188
2643151863 3896204135 2416995901 1397735321 3460025646
1000 outputs of genrand_real2()
0.76275443 0.99000644 0.98670464 0.10143112 0.27933125
0.69867227 0.94218740 0.03427201 0.78842173 0.28180608
0.92179002 0.20785655 0.54534773 0.69644020 0.38107718
0.23978165 0.65286910 0.07514568 0.22765211 0.94872929
0.74557914 0.62664415 0.54708246 0.90959343 0.42043116
0.86334511 0.19189126 0.14718544 0.70259889 0.63426346
0.77408121 0.04531601 0.04605807 0.88595519 0.69398270
0.05377184 0.61711170 0.05565708 0.10133577 0.41500776
0.91810699 0.22320679 0.23353705 0.92871862 0.98897234
0.19786706 0.80558809 0.06961067 0.55840445 0.90479405
0.63288060 0.95009721 0.54948447 0.20645042 0.45000959
0.87050869 0.70806991 0.19406895 0.79286390 0.49332866
0.78483914 0.75145146 0.12341941 0.42030252 0.16728160
0.59906494 0.37575460 0.97815160 0.39815952 0.43595080
0.04952478 0.33917805 0.76509902 0.61034321 0.90654701
0.92915732 0.85365931 0.18812377 0.65913428 0.28814566
0.59476081 0.27835931 0.60722542 0.68310435 0.69387186
0.03699800 0.65897714 0.17527003 0.02889304 0.86777366
0.12352068 0.91439461 0.32022990 0.44445731 0.34903686
0.74639273 0.65918367 0.92492794 0.31872642 0.77749724
0.85413832 0.76385624 0.32744211 0.91326300 0.27458185
0.22190155 0.19865383 0.31227402 0.85321225 0.84243342
0.78544200 0.71854080 0.92503892 0.82703064 0.88306297
0.47284073 0.70059042 0.48003761 0.38671694 0.60465770
0.41747204 0.47163243 0.72750808 0.65830223 0.10955369
0.64215401 0.23456345 0.95944940 0.72822249 0.40888451
0.69980355 0.26677428 0.57333635 0.39791582 0.85377858
0.76962816 0.72004885 0.90903087 0.51376506 0.37732665
0.12691640 0.71249738 0.81217908 0.37037313 0.32772374
0.14238259 0.05614811 0.74363008 0.39773267 0.94859135
0.31452454 0.11730313 0.62962618 0.33334237 0.45547255
0.10089665 0.56550662 0.60539371 0.16027624 0.13245301
0.60959939 0.04671662 0.99356286 0.57660859 0.40269560
0.45274629 0.06699735 0.85064246 0.87742744 0.54508392
0.87242982 0.29321385 0.67660627 0.68230715 0.79052073
0.48592054 0.25186266 0.93769755 0.28565487 0.47219067
0.99054882 0.13155240 0.47110470 0.98556600 0.84397623
0.12875246 0.90953202 0.49129015 0.23792727 0.79481194
0.44337770 0.96564297 0.67749118 0.55684872 0.27286897
0.79538393 0.61965356 0.22487929 0.02226018 0.49248200
0.42247006 0.91797788 0.99250134 0.23449967 0.52531508
0.10246337 0.78685622 0.34310922 0.89892996 0.40454552
0.68608407 0.30752487 0.83601319 0.54956031 0.63777550
0.82199797 0.24890696 0.48801123 0.48661910 0.51223987
0.32969635 0.31075073 0.21393155 0.73453207 0.15565705
0.58584522 0.28976728 0.97621478 0.61498701 0.23891470
0.28518540 0.46809591 0.18371914 0.37597910 0.13492176
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E:\tcc>