/*
 * A simple benchmark based on a fast 64-bit primes checker from
 * https://www.mersenneforum.org/showpost.php?p=259040&postcount=8
 */

#define REPEATS 1000000

/*
Copyright 2011 Jim Sinclair

Permission is hereby granted, free of charge, to any person obtaining a copy of
this software and associated documentation files (the "Software"), to deal in
the Software without restriction, including without limitation the rights to
use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of
the Software, and to permit persons to whom the Software is furnished to do so,
subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS
FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR
COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER
IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. 
*/

#include <stdio.h>
#include <stdlib.h>

#define HASHSIZE   2048
#define MASK       (HASHSIZE-1)
#define MULTIPLIER 3141592653589793239ULL
#define SHIFT      42

typedef unsigned long long int uint64_t;

int SPRPlookup[HASHSIZE] = {
  99,447,426,34,7,423,89,61,834,563,421,459,215,1415,778,259,541,403,1302,
  383,381,35,55,166,1407,79,638,161,166,551,2003,89,461,1574,206,2051,553,
  579,1295,2551,971,199,4375,241,171,311,715,370,257,3214,386,873,7721,155,
  146,566,149,41,223,2410,406,91,5055,431,413,2529,3113,327,253,822,1022,
  1723,113,558,557,86,539,581,5373,881,89,553,766,534,2063,874,321,171,118,
  1039,633,153,38,3881,1441,97,85,2933,119,17527,181,965,446,174,495,43,
  1370,482,1689,1405,1715,227,455,683,235,5078,286,2887,103,299,401,513,517,
  657,71,705,61,149,106,606,754,38,2265,51,494,335,166,105,1427,622,23,
  1979,1695,94,4966,1347,411,253,1518,9147,487,5633,94,15213,1307,1959,141,
  523,87,389,539,695,233,103,769,674,1691,823,219,1045,2639,137,2203,3643,
  1743,165,1969,701,713,723,279,1469,333,123,558,1231,746,521,177,257,386,
  3115,19625,749,997,419,1238,569,3397,197,865,69,470,3739,258,110,61,218,
  579,167,823,403,899,890,489,133,301,470,921,142,99,253,1443,122,57,1449,
  559,1879,1821,62,3303,1019,227,1941,1771,682,419,399,905,206,59,205,575,
  73,97,279,566,263,11701,43,87,218,1970,2411,617,1187,41,627,1362,313,266,
  1238,79,1153,229,145,239,74,438,2417,203,551,35,930,114,1359,1611,1019,
  967,614,1313,262,415,827,33,74,295,105,386,146,301,967,547,139,1603,58,
  485,19,1431,619,1730,1349,249,859,611,43,818,349,291,38,513,509,190,1691,
  237,1239,122,1907,651,89,447,2917,1579,2913,1285,3335,5897,505,67,1066,
  1977,10543,331,183,14,301,177,29,347,118,259,1078,1637,2599,437,1447,393,
  323,215,393,582,229,165,109,641,382,62,365,306,907,949,142,482,1513,29,
  2114,301,77,297,38,8647,211,119,274,199,894,339,553,42,31,542,95,213,
  659,153,51187,183,771,23,354,129,745,831,37,833,207,863,577,179,29,443,
  118,746,99,695,579,31,109,46,238,303,3199,957,1879,1727,37,29,86,1349,
  47,17,949,109,313,55,561,3378,5269,1549,374,274,966,127,93,1041,7,2153,
  4871,4199,553,699,293,849,47,178,194,778,445,353,51,307,53,134,426,1289,
  219,131,2718,273,901,83,227,1390,906,2459,301,616,447,94,33,1675,17,213,
  859,389,329,525,249,1393,209,4899,207,7,1345,326,285,57,3226,874,41,2609,
  3599,1497,635,1571,173,982,457,21,43,1685,177,278,2347,549,403,1761,103,
  354,67,99,2689,329,258,2810,66,706,19,41,1419,703,745,309,359,61,871,
  370,23,79,138,63,479,231,967,87,53,5359,1793,2010,229,199,2386,222,437,
  397,143,483,431,646,102,415,523,91,29,69,62,759,2355,259,347,141,41,342,
  119,87,61,61,299,145,354,255,267,157,693,655,761,813,370,197,1091,4181,
  2921,1665,257,261,575,86,1477,319,611,110,253,606,391,6777,417,34,123,
  1179,393,158,517,159,483,367,703,675,211,183,1951,347,854,53,827,119,91,
  547,1951,157,745,141,1651,805,151,501,2573,1507,206,545,186,71,4177,537,
  814,714,293,342,302,687,110,383,1854,1435,1122,793,1109,1837,329,371,74,
  3221,163,409,947,645,382,69,1995,2830,3702,354,299,173,251,209,47,191,
  3646,97,171,33,697,102,1095,207,307,1462,1153,1099,461,71,322,246,57,
  1478,349,230,581,739,319,222,277,201,218,331,391,1669,286,193,146,318,83,
  342,14,1497,19,478,387,1959,114,2342,339,53,1127,109,203,119,109,203,217,
  778,1161,1153,581,106,954,315,17,401,258,155,1785,3637,138,1727,157,633,
  205,189,925,74,261,387,19,218,330,2129,493,609,101,154,321,187,1982,583,
  301,107,823,201,1349,874,193,533,290,1010,151,122,358,1906,313,197,457,
  951,403,1361,523,113,909,229,118,241,583,689,46,355,99,209,19,14,942,
  267,1414,631,998,187,319,957,203,2005,2485,537,57,143,1303,829,409,9485,
  202,1185,857,17,1317,73,183,266,321,141,1113,1317,91,615,617,4003,1775,
  791,629,1926,1973,653,454,201,881,141,433,69,55,414,155,1142,1071,109,
  3545,589,2411,673,762,2426,2218,762,387,954,1421,337,138,86,3395,2821,159,
  109,365,1535,803,138,551,2299,635,71,206,329,851,1277,745,1055,899,1118,
  917,890,41,57,2901,422,271,119,4402,1131,1121,346,59,293,857,11,991,143,
  94,171,1730,471,914,217,1362,539,147,109,421,891,2667,639,393,313,145,
  855,335,435,2465,510,479,297,3206,23,1766,446,622,41,2238,82,1137,781,
  4167,391,838,1045,633,29,1463,209,2013,419,281,3243,185,618,91,154,930,
  153,79,69,1473,113,383,1334,4190,566,165,5090,133,258,567,118,57,185,825,
  2543,201,799,563,407,227,2559,501,205,1035,669,814,1026,265,11,327,119,
  2373,4333,751,333,67,235,1074,129,3763,597,1037,331,1978,1198,151,254,
  1079,309,1723,2438,177,41,719,1603,829,134,399,2467,663,107,551,3738,206,
  758,438,285,19,453,1035,233,118,1374,119,698,295,265,1027,3973,313,510,
  3846,1669,1602,287,9051,83,2098,83,201,1559,1205,467,1526,62,2717,2369,
  902,33,301,453,255,89,257,543,1335,895,487,141,621,103,3318,583,187,141,
  273,37,766,233,143,833,7,237,333,2713,535,37,382,737,327,717,2722,1309,
  181,1105,1459,255,3914,721,1057,101,1266,17,4087,143,113,105,971,1117,221,
  2109,811,255,481,3862,537,31,781,374,271,1630,358,1209,5307,91,1898,193,
  1285,1378,587,1154,801,893,146,73,5294,3111,83,3530,1285,21,55,165,87,
  395,805,53,133,205,119,879,199,61,151,167,71,562,2415,157,89,275,399,
  293,14,1465,111,297,155,919,7599,423,151,131,106,149,221,1313,257,279,
  549,287,10310,35,31,993,4854,182,85,2095,262,151,1398,263,3779,29,141,74,
  515,541,430,59,311,263,6746,1159,1613,1699,909,395,2837,550,1417,138,55,
  149,306,6086,287,11,287,590,1306,278,62,115,122,3687,997,718,4765,14,
  1021,2839,501,231,945,2127,437,878,323,1007,617,461,155,262,127,387,87,
  391,182,4437,297,185,341,14,2259,805,141,511,31,111,847,767,1159,1359,
  4567,139,393,199,77,4034,587,1506,279,3990,371,37,1138,295,73,831,1195,
  99,394,377,1147,489,1966,199,73,6757,146,766,379,389,586,639,2169,2341,
  161,221,739,97,371,1419,629,1051,279,5146,2081,55,178,267,434,97,929,371,
  29,1141,646,582,101,433,1199,111,202,1955,301,137,995,53,395,7471,373,
  279,1965,1197,326,131,173,2078,1817,161,55,690,1810,259,445,1166,193,53,
  73,1106,374,513,82,198,2318,142,822,511,2057,102,417,23,337,781,73,753,
  105,2173,917,1011,793,2005,1211,134,2011,1007,949,157,141,171,101,1850,
  3561,421,122,153,1967,277,2113,295,197,1947,1174,31,167,1549,646,93,1181,
  2710,1279,247,179,1442,1149,173,69,189,646,97,2659,1001,1373,1446,3542,
  811,1166,1387,493,171,409,282,298,19,1393,2137,1361,3793,51,2127,1047,
  2121,1909,953,645,437,57,183,545,342,2438,1865,759,11,165,387,429,826,
  1177,73,1011,142,2045,1143,607,685,299,1343,1158,1661,579,151,69,983,87,
  1257,151,983,298,319,497,93,526,74,67,943,365,601,221,77,181,691,1490,
  489,201,921,942,703,71,99,179,69,303,2954,495,777,17905,127,330,1186,194,
  101,873,359,799,190,1226,307,3217,6599,733,149,1231,51,777,1106,191,190,
  1873,7,6566,366,174,174,57,141,139,37,87,167,290,2602,58,2095,473,37,
  835,14029,1503,127,163,329,231,3713,339,131,534,253,797,497,59,1105,2309,
  1919,1033,713,171,6287,383,543,23,1427,155,471,207,305,149,221,329,91,
  654,47,871,23,393,47,71,873,91,43,23,431,31,1149,173,1118,138,89,1077,
  3181,1465,93,53,79,1025,1531,141,4174,298,901,1157,409,223,615,963,158,
  313,322,1306,214,459,711,689,253,822,170,211,406,1066,17,211,29,373,263,
  299,226,85,173,443,3239,277,449,261,134,67,394,1759,1585,1267,110,66,
  1098,1117,70,261,817,843,145,817,1043,1749,190,583,21,1057,307,291,786,
  251,349,1189,227,547,958,447,190,2045,943,1561,438,267,1046,101,1475,407,
  618,95,222,142,47,207,6542,579,459,85,2927,457,447,1054,229,215,423,322,
  61,930,4427,3533,158,213,171,395,427,337,67,295,1031,2633,2765,130,1635,
  2861,239,847,309,1461,143,354,1079,926,4813,309,654,809,122,1121,430,1469,
  2198,2893,41,2674,1771,1119,487,553,511,370,981,1206,42,373,205,3377,4809,
  461,167,679,711,145,193,1043,222,322,149,547,179,2451,365,111,1665,67,
  1249,138,485,79,205,249,2097,331,159,313,159,433,470,2643,3725,43,1075,
  773,919,11,1202,731,17,113,123,161,77,809,1177,321,118,309,549,5437,107,
  721,89,5479,807,59,427,555,783,401,133,1595,1121,1618,67,223,183,838,67,
  407,806,822,465,386,873,113,19,473,661,161,311,402,914,74,451,449,71,
  247,1133,127,11,1721,946,183,138,6687,2649,59,451,793,21,12102,667,550,
  101,323,565,969,2286,821,659,298,210,21,131,949,3930,102,190,430,1865,
  483,167,433,8675,119,163,511,251,479,941,467,1265,123,2294,571,389,2318,
  241,1207,201,37,155,837,1467,71,2969,397,1843,431,4334,1818,77,71,303,87,
  283,89,82,2417,321,209,409,619,1626,1615,47,271,151,59,53,1531,953,347,
  151,499,2774,471,199,919,1203,531,378,423,1774,291,114,1154,1386,115,1343,
  29,63,93,79,4237,787,497,5021,590,14,601,47,402,254,7,1195,3227,55,4502,
  299,1027,1455,83,2111,153,4491,3203,17,109,41,165,258,593,229,261,617,
  353,149,597,406,23,1417,333,226,317,2509,1041,74,421,521,2481,1507,893,
  271,22,2941,302,365,1819,449,438,665,563,290,89,409,1194,971,1143,207,62,
  158,1157,647,91,215,393,163,397,1025,422,137,449,278,93,23,71,1667,17,
  265,1834,201,3225,603,401,3231,954,615,127,293,419,1173,319,210,173,623,
  67,474,218,885,977,1775,77,421,258,769,1590,2746,1033,43,123
};

uint64_t mulmod(uint64_t a, uint64_t b, uint64_t c)
{
  return (unsigned __int128)a * b % c;
}

uint64_t powmod(uint64_t i, uint64_t j, uint64_t k){
  uint64_t r = 1;
  while(j > 0){
    if(j&1)
      r=mulmod(r,i,k);
    i=mulmod(i,i,k);
    j>>=1;
  }
  return r;
}

int miller_rabin(uint64_t n, int* bases, int len) {
  int i, r, s=0;
  uint64_t d=n-1;
  while (0==(d&1)) {
    ++s; d>>=1;
  }
  for(i = 0; i < len; i++){
    int a = bases[i];
    uint64_t x = powmod(a,d,n);
    if (x==1 || x==n-1)
      continue;
    for (r=0; r<s; r++) {
      x = mulmod(x,x,n);
      if (x==1)
        return 0;
      else if (x==n-1){
        a = 0;
        break;
      }
    }
    if(a)
      return 0;
  }
  return 1;
}

int isPrime64Bit(uint64_t n){
  int bases[4];
  bases[0] = 2;
  bases[1] = 325;
  bases[2] = 9375;
  bases[3] = SPRPlookup[(int)(((n*MULTIPLIER)>>SHIFT)&MASK)];

  if (n == 2 || n == 3 || n == 5 || n == 13)
    return 1;
  else if (n < 5 || (n & 1) == 0)
    return 0;
  else
    return miller_rabin(n, bases, 4);
}

// https://lemire.me/blog/2019/03/19/the-fastest-conventional-random-number-generator-that-can-pass-big-crush/
uint64_t lehmer64() {
  static __uint128_t g_lehmer64_state = 1;
  g_lehmer64_state *= 0xda942042e4dd58b5;
  return g_lehmer64_state >> 64;
}

int main() {
  int primes_cnt = 0;
  for (int i = 0; i < REPEATS; i++) {
    uint64_t n = lehmer64() & ((1ULL << 63) - 1);
    if (isPrime64Bit(n))
      primes_cnt++;
  }
  printf("Found %d primes.\n", primes_cnt);
  return 0;
}