--- /dev/null
+/* mpz_nextprime(p,t) - compute the next prime > t and store that in p.
+
+Copyright 1999, 2000, 2001, 2008, 2009 Free Software Foundation, Inc.
+
+Contributed to the GNU project by Niels Möller and Torbjörn Granlund.
+
+This file is part of the GNU MP Library.
+
+The GNU MP Library is free software; you can redistribute it and/or modify
+it under the terms of the GNU Lesser 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 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 Lesser General Public
+License for more details.
+
+You should have received a copy of the GNU Lesser General Public License
+along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "longlong.h"
+
+static const unsigned char primegap[] =
+{
+ 2,2,4,2,4,2,4,6,2,6,4,2,4,6,6,2,6,4,2,6,4,6,8,4,2,4,2,4,14,4,6,
+ 2,10,2,6,6,4,6,6,2,10,2,4,2,12,12,4,2,4,6,2,10,6,6,6,2,6,4,2,10,14,4,2,
+ 4,14,6,10,2,4,6,8,6,6,4,6,8,4,8,10,2,10,2,6,4,6,8,4,2,4,12,8,4,8,4,6,
+ 12,2,18,6,10,6,6,2,6,10,6,6,2,6,6,4,2,12,10,2,4,6,6,2,12,4,6,8,10,8,10,8,
+ 6,6,4,8,6,4,8,4,14,10,12,2,10,2,4,2,10,14,4,2,4,14,4,2,4,20,4,8,10,8,4,6,
+ 6,14,4,6,6,8,6,12
+};
+
+#define NUMBER_OF_PRIMES 167
+
+void
+mpz_nextprime (mpz_ptr p, mpz_srcptr n)
+{
+ unsigned short *moduli;
+ unsigned long difference;
+ int i;
+ unsigned prime_limit;
+ unsigned long prime;
+ int cnt;
+ mp_size_t pn;
+ unsigned long nbits;
+ unsigned incr;
+ TMP_SDECL;
+
+ /* First handle tiny numbers */
+ if (mpz_cmp_ui (n, 2) < 0)
+ {
+ mpz_set_ui (p, 2);
+ return;
+ }
+ mpz_add_ui (p, n, 1);
+ mpz_setbit (p, 0);
+
+ if (mpz_cmp_ui (p, 7) <= 0)
+ return;
+
+ pn = SIZ(p);
+ count_leading_zeros (cnt, PTR(p)[pn - 1]);
+ nbits = pn * GMP_NUMB_BITS - (cnt - GMP_NAIL_BITS);
+ if (nbits / 2 >= NUMBER_OF_PRIMES)
+ prime_limit = NUMBER_OF_PRIMES - 1;
+ else
+ prime_limit = nbits / 2;
+
+ TMP_SMARK;
+
+ /* Compute residues modulo small odd primes */
+ moduli = TMP_SALLOC_TYPE (prime_limit * sizeof moduli[0], unsigned short);
+
+ for (;;)
+ {
+ /* FIXME: Compute lazily? */
+ prime = 3;
+ for (i = 0; i < prime_limit; i++)
+ {
+ moduli[i] = mpz_fdiv_ui (p, prime);
+ prime += primegap[i];
+ }
+
+#define INCR_LIMIT 0x10000 /* deep science */
+
+ for (difference = incr = 0; incr < INCR_LIMIT; difference += 2)
+ {
+ /* First check residues */
+ prime = 3;
+ for (i = 0; i < prime_limit; i++)
+ {
+ unsigned r;
+ /* FIXME: Reduce moduli + incr and store back, to allow for
+ division-free reductions. Alternatively, table primes[]'s
+ inverses (mod 2^16). */
+ r = (moduli[i] + incr) % prime;
+ prime += primegap[i];
+
+ if (r == 0)
+ goto next;
+ }
+
+ mpz_add_ui (p, p, difference);
+ difference = 0;
+
+ /* Miller-Rabin test */
+ if (mpz_millerrabin (p, 10))
+ goto done;
+ next:;
+ incr += 2;
+ }
+ mpz_add_ui (p, p, difference);
+ difference = 0;
+ }
+ done:
+ TMP_SFREE;
+}