//===----------------------------------------------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
// <random>
// template<class IntType = int>
// class binomial_distribution
// template<class _URNG> result_type operator()(_URNG& g);
// Test the fix for https://llvm.org/PR44847.
// Serializing/deserializing the state of the RNG requires iostreams
// UNSUPPORTED: no-localization
// Very slow when run in qemu.
// REQUIRES: long_tests
#include <random>
#include <numeric>
#include <vector>
#include <cassert>
#include <sstream>
#include "test_macros.h"
int main(int, char**) {
typedef std::binomial_distribution<> D;
typedef std::mt19937 G;
G g;
D d(128738942, 1.6941441471907126e-08);
std::string state = " 1740222423 1665913615 1140355283 124152834 434145240"
" 2553002688 4143320714 1810519474 447745536 1439409640 1596060396 1243637295"
" 452117361 734967774 3276935081 35650473 682607275 4208082251 3209082916"
" 638915489 4127185595 2859436515 309105096 837982734 796854873 4271538185"
" 2447193692 607594006 4035165093 4230150671 2567368782 1000242037 2469514821"
" 1843373462 1751084370 1033341643 3506396674 4169541123 1191187784 3479797390"
" 3785371742 1475391851 878730063 2661164420 63166678 4127393159 2797714867"
" 1295211604 2717051330 1009514623 1963164571 561646784 819612826 3340955171"
" 1338523647 1675643732 458583760 698472119 3233594836 2901754568 4222994242"
" 51167459 2501563254 2175997686 1673326467 3722097469 2183287831 2155925807"
" 1071447253 1857934241 320830903 1514449149 103571877 839083116 3893321384"
" 4236495022 766393502 2729490440 290181118 3191537542 1077578150 3066185245"
" 3193085445 3786728494 2938418649 3410121447 1453867071 698346001 3037921161"
" 839425565 2245305640 2806447261 3196149514 1071872132 2337761397 3632554165"
" 190093341 4248613644 2372806256 3290113603 3852853233 272818390 3168842643"
" 25788407 4197010683 3864965812 1635548247 2364439227 3344377087 4284620573"
" 3351117493 3398532219 2757166123 1127999905 2988564217 3707129726 3652489018"
" 4035370271 475801332 2109377392 2128345729 3920803035 4271338685 509459802"
" 4158256844 1850467175 1579214935 8921175 4068350958 2951987840 506827330"
" 3520651040 3359838267 1120109827 3917280670 2748947423 3672973280 1566164613"
" 2986317531 1204099196 3080678121 3574913280 4009316336 3034181160 1818230129"
" 3757769877 2464713972 2812294843 782960615 1228678223 2571358051 4260066020"
" 2439643840 3500737183 1433940923 1031851687 190066625 3777385171 4142770213"
" 3539275502 1622933657 425231043 3715607557 260333136 4198959706 358418"
" 1799817566 2839827743 437785672 2967249029 949856347 2081447702 1102224171"
" 479701434 1781895167 2965560025 264797633 2564778619 2515037023 1320978995"
" 780140943 2372404879 3823445604 2917613108 143505740 3507288260 2803553229"
" 4195962819 4072604717 3155823087 323755011 601944215 1840441037 2850820195"
" 915623058 3306124208 3069788039 1553985704 411632899 3200645375 2973968812"
" 4263574437 3360058162 144760024 845487010 3508028432 4091510967 3925394277"
" 71566492 3432433113 3266920114 3539050491 51719451 1245373835 1469278112"
" 3298302496 753088653 2942352102 1565378440 494477947 971879195 482756304"
" 2475493857 143180757 324876427 1610205542 1829295320 1937949038 3733336232"
" 2542145235 3636527510 2347609126 2343078538 2526896356 167862270 2299577281"
" 3382958264 1911078293 531208917 3588214476 1086101513 1838672874 2119663667"
" 491092052 2961424745 3048925589 486607333 3505822195 3888367 2949031946"
" 2684841832 433147539 2333660325 3142554719 435207743 3063000516 4043979879"
" 3290075088 1114755542 18368971 876637247 3352816011 1421909753 3339898083"
" 740553432 3682683666 2699730850 2861403632 1971653904 900380480 2635160544"
" 1318218867 411940 2141321523 2349820793 280562368 3816712514 3790707429"
" 1619023591 2858103376 1462886666 1723686126 3766879240 1918781537 2792938366"
" 166155425 803108075 722833545 220020495 880029214 2901984266 609985526"
" 1367283597 132804580 903066665 131582208 64374393 2006102725 3422930158"
" 4209296423 380263053 3978926691 3310851236 4245770487 4166043866 4080757525"
" 3329599259 258706185 2452129516 3191265966 2958285912 1070664670 921876197"
" 2421722823 2568477756 382467393 2196144533 213270233 116974426 2230947214"
" 2576421741 393776471 2796472698 3647710433 3264988906 726903864 817800486"
" 628224092 2707785007 3517963926 596980027 2466711387 3156540408 2517803670"
" 3408123552 4142066739 3779818910 2988899011 2732117432 3579427018 1513070048"
" 1566052861 20225341 997297613 3219855094 2777075639 1656025420 3670325076"
" 1469330501 3061438653 4264717436 1305791144 1237197751 2943926634 1566843825"
" 3359878993 4037226997 4044024653 3611863927 1375344610 211134383 2406252392"
" 1349912770 1023874273 1912665158 1762983936 407124872 2936278199 1821966634"
" 3337187112 2546090236 2594870585 823411965 126464686 4041388220 1686530706"
" 2780657745 1945569350 203691199 2532411242 1830339266 674003798 2192329968"
" 2425624005 2819484460 3743368462 2565769418 4179439526 216134386 2880090718"
" 623297558 3913067470 745959159 2499436157 373025119 3423124368 2522302278"
" 3719518513 999390119 159673547 228111094 3391079061 1761352720 2549048062"
" 1125219697 2052834337 3743842626 2433549637 3636723358 1860785315 2387664013"
" 581140755 11086848 4199179079 1180488689 2060816030 2550665319 1314472090"
" 1402807876 304522082 3382175195 4260677857 1724818219 2183493354 1004322779"
" 4166984056 889220724 553883566 582971548 2046113107 2080208105 3473121134"
" 1959681858 1840897428 2595714120 855065022 4191762128 3679914005 3623561445"
" 3437337182 3269107597 2019021510 2112281155 985458687 1364815423 514093990"
" 3711847302 704129707 3398127374 517373404 2646977457 3048605419 1372350917"
" 3831335422 2263542968 2283942504 2193996512 824623017 1707815852 3337156739"
" 2301398895 2077322758 193542893 869960695 3878520140 403616946 3228943765"
" 1037753596 2949947821 379992823 2251850209 1614533146 1704886337 108361232"
" 3840616436 2932809257 2375700648 596391307 4226846855 191943050 1271990524"
" 1335422537 3085696177 2030313449 3272604577 1148556450 1184357181 3558074012"
" 3259720214 2755915415 2720703536 31861322 1740307221 1860884298 3922103763"
" 4066872392 1756734488 394294796 2505236387 2456914682 639788702 52063410"
" 2855173018 3307964490 556762160 3624145788 3793504468 4252003358 3690335184"
" 688245281 2259823605 2617950220 1045718164 3091539813 1330130477 736722350"
" 3100437052 3900855736 4183439368 1735720081 2644768495 819274730 2364834023"
" 1393374098 981219339 3969251105 332522940 850159909 646738867 3413137687"
" 1646732884 80027487 2196948979 5295580 3530173036 767814907 2573204209"
" 491686200 1287955820 3095830596 2152743903 1738320986 1900678059 3613699900"
" 3076191184 2917243255 2236492002 3504114019 604643631 3324769580 4078090927"
" 1245379462 2026215662 1566278916 2832509655 3010562339 1269806412 835199342"
" 2561789927 163108895 524878390 833167775 3551760739 3008059185 1133970834"
" 26821616 2846321927 3803209991 581001826 3764614926 3893778555 617853085"
" 183809431 3510530944 350044681 429839558 1238110552 265276207 205294443"
" 3092821176 2003027316 2577165836 1277274629 87531073 63821123 354781812"
" 3700767000 3451421881 990626144 3763226681 3373715717 2360928651 2412110189"
" 3362121672 3080578947 1604861935 3186376735 2989392261 3550022914 756392571"
" 1580512570 2584626785 2727753459 730699388 3379402897 3050444856 2244390108"
" 3941150486 1990708800 2462735 195459645 761670582 1067695927 984662039"
" 2678082647 1839150009 2113552968 406021267 2193154754 720977131 2445722325"
" 2482507181 2062595810 1015226482";
std::istringstream iss(state);
iss >> g;
const int N = 1000000;
std::vector<D::result_type> u;
for (int i = 0; i < N; ++i)
{
D::result_type v = d(g);
assert(d.min() <= v && v <= d.max());
u.push_back(v);
}
double mean = std::accumulate(u.begin(), u.end(),
double(0)) / u.size();
double var = 0;
double skew = 0;
double kurtosis = 0;
for (unsigned i = 0; i < u.size(); ++i)
{
double dbl = (u[i] - mean);
double d2 = dbl * dbl;
var += d2;
skew += dbl * d2;
kurtosis += d2 * d2;
}
var /= u.size();
double dev = std::sqrt(var);
skew /= u.size() * dev * var;
kurtosis /= u.size() * var * var;
kurtosis -= 3;
double x_mean = d.t() * d.p();
double x_var = x_mean*(1-d.p());
double x_skew = (1-2*d.p()) / std::sqrt(x_var);
double x_kurtosis = (1-6*d.p()*(1-d.p())) / x_var;
assert(std::abs((mean - x_mean) / x_mean) < 0.01);
assert(std::abs((var - x_var) / x_var) < 0.01);
assert(std::abs((skew - x_skew) / x_skew) < 0.01);
assert(std::abs((kurtosis - x_kurtosis) / x_kurtosis) < 0.06);
return 0;
}
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