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authorDuncan Wilkie <antigravityd@gmail.com>2023-11-18 06:11:09 -0600
committerDuncan Wilkie <antigravityd@gmail.com>2023-11-18 06:11:09 -0600
commit11da511c784eca003deb90c23570f0873954e0de (patch)
treee14fdd3d5d6345956d67e79ae771d0633d28362b /gmp-6.3.0/tests/mpz/t-pprime_p.c
Initial commit.
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diff --git a/gmp-6.3.0/tests/mpz/t-pprime_p.c b/gmp-6.3.0/tests/mpz/t-pprime_p.c
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+/* Exercise mpz_probab_prime_p.
+
+Copyright 2002, 2018-2019, 2022 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite is distributed in the hope that it will be
+useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+Public License for more details.
+
+You should have received a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include "gmp-impl.h"
+#include "tests.h"
+
+
+/* Enhancements:
+
+ - Test some big primes don't come back claimed to be composite.
+ - Test some big composites don't come back claimed to be certainly prime.
+ - Test some big composites with small factors are identified as certainly
+ composite. */
+
+
+/* return 2 if prime, 0 if composite */
+int
+isprime (unsigned long n)
+{
+ if (n < 4)
+ return (n & 2);
+ if ((n & 1) == 0)
+ return 0;
+
+ for (unsigned long i = 3; i*i <= n; i+=2)
+ if ((n % i) == 0)
+ return 0;
+
+ return 2;
+}
+
+void
+check_one (mpz_srcptr n, int want)
+{
+ int got;
+
+ got = mpz_probab_prime_p (n, 25);
+
+ /* "definitely prime" (2) is fine if we only wanted "probably prime" (1) */
+ if ((got != want) && (got != want * 2))
+ {
+ printf ("mpz_probab_prime_p\n");
+ mpz_trace (" n ", n);
+ printf (" got =%d", got);
+ printf (" want=%d", want);
+ abort ();
+ }
+}
+
+void
+check_pn (mpz_ptr n, int want)
+{
+ check_one (n, want);
+ mpz_neg (n, n);
+ check_one (n, want);
+}
+
+/* expect certainty for small n */
+void
+check_small (void)
+{
+ mpz_t n;
+ long i;
+
+ mpz_init (n);
+
+ for (i = 0; i < 300; i++)
+ {
+ mpz_set_si (n, i);
+ check_pn (n, isprime (i));
+ }
+
+ mpz_clear (n);
+}
+
+void
+check_composites (int count)
+{
+ int i;
+ mpz_t a, b, n, bs;
+ unsigned long size_range, size;
+ gmp_randstate_ptr rands = RANDS;
+
+ mpz_init (a);
+ mpz_init (b);
+ mpz_init (n);
+ mpz_init (bs);
+
+ static const char * const composites[] = {
+ "225670644213750121", /* n=61*C16, if D < 61, (n/D) = 1. */
+ "2386342059899637841", /* n=61*C17, if D < 61, (n/D) = 1. */
+ "1194649", /* A square, but strong base-2 pseudoprime, */
+ "12327121", /* another base-2 pseudoprime square. */
+ "18446744066047760377", /* Should trigger Fibonacci's test; */
+ "10323769", /* &3==1, Lucas' test with D=37; */
+ "1397419", /* &3==3, Lucas' test with D=43; */
+ "11708069165918597341", /* &3==1, Lucas' test with large D=107; */
+ "395009109077493751", /* &3==3, Lucas' test with large D=113. */
+ NULL
+ };
+
+ for (i = 0; composites[i]; i++)
+ {
+ mpz_set_str_or_abort (n, composites[i], 0);
+ check_one (n, 0);
+ }
+
+ for (i = 0; i < count; i++)
+ {
+ mpz_urandomb (bs, rands, 32);
+ size_range = mpz_get_ui (bs) % 13 + 1; /* 0..8192 bit operands */
+
+ mpz_urandomb (bs, rands, size_range);
+ size = mpz_get_ui (bs);
+ mpz_rrandomb (a, rands, size);
+
+ mpz_urandomb (bs, rands, 32);
+ size_range = mpz_get_ui (bs) % 13 + 1; /* 0..8192 bit operands */
+ mpz_rrandomb (b, rands, size);
+
+ /* Exclude trivial factors */
+ if (mpz_cmp_ui (a, 1) == 0)
+ mpz_set_ui (a, 2);
+ if (mpz_cmp_ui (b, 1) == 0)
+ mpz_set_ui (b, 2);
+
+ mpz_mul (n, a, b);
+
+ check_pn (n, 0);
+ }
+ mpz_clear (a);
+ mpz_clear (b);
+ mpz_clear (n);
+ mpz_clear (bs);
+}
+
+static void
+check_primes (void)
+{
+ static const char * const primes[] = {
+ "2", "53", "1234567891",
+ "2055693949", "1125899906842597", "16412292043871650369",
+ "18446744075358702679", /* Lucas' test with large D=107. */
+ /* diffie-hellman-group1-sha1, also "Well known group 2" in RFC
+ 2412, 2^1024 - 2^960 - 1 + 2^64 * { [2^894 pi] + 129093 } */
+ "0xFFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1"
+ "29024E088A67CC74020BBEA63B139B22514A08798E3404DD"
+ "EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245"
+ "E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED"
+ "EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381"
+ "FFFFFFFFFFFFFFFF",
+ NULL
+ };
+
+ mpz_t n;
+ int i;
+
+ mpz_init (n);
+
+ for (i = 0; primes[i]; i++)
+ {
+ mpz_set_str_or_abort (n, primes[i], 0);
+ check_one (n, 1);
+ }
+ mpz_clear (n);
+}
+
+static void
+check_fermat_mersenne (int count)
+{
+ int fermat_exponents [] = {1, 2, 4, 8, 16};
+ int mersenne_exponents [] = {2, 3, 5, 7, 13, 17, 19, 31, 61, 89,
+ 107, 127, 521, 607, 1279, 2203, 2281,
+ 3217, 4253, 4423, 9689, 9941, 11213,
+ 19937, 21701, 23209, 44497, 86243};
+ mpz_t pp;
+ int i, j, want;
+
+ mpz_init (pp);
+ count = MIN (110000, count);
+
+ for (i=1; i<count; ++i)
+ {
+ mpz_set_ui (pp, 1);
+ mpz_setbit (pp, i); /* 2^i + 1 */
+ want = 0;
+ for (j = 0; j < numberof (fermat_exponents); j++)
+ if (fermat_exponents[j] == i)
+ {
+ /* Fermat's primes are small enough for a definite answer. */
+ want = 2;
+ break;
+ }
+ check_one (pp, want);
+
+ mpz_sub_ui (pp, pp, 2); /* 2^i - 1 */
+ want = 0;
+ for (j = 0; j < numberof (mersenne_exponents); j++)
+ if (mersenne_exponents[j] == i)
+ {
+ want = 1 << (i < 50);
+ break;
+ }
+ check_one (pp, want);
+ }
+ mpz_clear (pp);
+}
+
+int
+main (int argc, char **argv)
+{
+ int count = 1000;
+
+ TESTS_REPS (count, argv, argc);
+
+ tests_start ();
+
+ check_small ();
+ check_fermat_mersenne (count >> 3);
+ check_composites (count);
+ check_primes ();
+
+ tests_end ();
+ exit (0);
+}