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+/* mpn_trialdiv -- find small factors of an mpn number using trial division.
+
+ Contributed to the GNU project by Torbjorn Granlund.
+
+ THE FUNCTION IN THIS FILE IS INTERNAL WITH A MUTABLE INTERFACE. IT IS ONLY
+ SAFE TO REACH IT THROUGH DOCUMENTED INTERFACES. IN FACT, IT IS ALMOST
+ GUARANTEED THAT IT WILL CHANGE OR DISAPPEAR IN A FUTURE GNU MP RELEASE.
+
+Copyright 2009, 2010, 2012, 2013 Free Software Foundation, Inc.
+
+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 either:
+
+ * 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.
+
+or
+
+ * the GNU General Public License as published by the Free Software
+ Foundation; either version 2 of the License, or (at your option) any
+ later version.
+
+or both in parallel, as here.
+
+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 General Public License
+for more details.
+
+You should have received copies of the GNU General Public License and the
+GNU Lesser General Public License along with the GNU MP Library. If not,
+see https://www.gnu.org/licenses/. */
+
+/*
+ This function finds the first (smallest) factor represented in
+ trialdivtab.h. It does not stop the factoring effort just because it has
+ reached some sensible limit, such as the square root of the input number.
+
+ The caller can limit the factoring effort by passing NPRIMES. The function
+ will then divide until that limit, or perhaps a few primes more. A position
+ which only mpn_trialdiv can make sense of is returned in the WHERE
+ parameter. It can be used for restarting the factoring effort; the first
+ call should pass 0 here.
+
+ Input: 1. A non-negative number T = {tp,tn}
+ 2. NPRIMES as described above,
+ 3. *WHERE as described above.
+ Output: 1. *WHERE updated as described above.
+ 2. Return value is non-zero if we found a factor, else zero
+ To get the actual prime factor, compute the mod B inverse
+ of the return value.
+*/
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+struct gmp_primes_dtab {
+ mp_limb_t binv;
+ mp_limb_t lim;
+};
+
+struct gmp_primes_ptab {
+ mp_limb_t ppp; /* primes, multiplied together */
+ mp_limb_t cps[7]; /* ppp values pre-computed for mpn_mod_1s_4p */
+ unsigned int idx:24; /* index of first primes in dtab */
+ unsigned int np :8; /* number of primes related to this entry */
+};
+
+
+static const struct gmp_primes_dtab gmp_primes_dtab[] =
+{
+#define WANT_dtab
+#define P(p,inv,lim) {inv,lim}
+#include "trialdivtab.h"
+#undef WANT_dtab
+#undef P
+ {0,0}
+};
+
+static const struct gmp_primes_ptab gmp_primes_ptab[] =
+{
+#define WANT_ptab
+#include "trialdivtab.h"
+#undef WANT_ptab
+};
+
+#define PTAB_LINES (sizeof (gmp_primes_ptab) / sizeof (gmp_primes_ptab[0]))
+
+/* FIXME: We could optimize out one of the outer loop conditions if we
+ had a final ptab entry with a huge nd field. */
+mp_limb_t
+mpn_trialdiv (mp_srcptr tp, mp_size_t tn, mp_size_t nprimes, int *where)
+{
+ mp_limb_t ppp;
+ const mp_limb_t *cps;
+ const struct gmp_primes_dtab *dp;
+ long i, j, idx, np;
+ mp_limb_t r, q;
+
+ ASSERT (tn >= 1);
+
+ for (i = *where; i < PTAB_LINES; i++)
+ {
+ ppp = gmp_primes_ptab[i].ppp;
+ cps = gmp_primes_ptab[i].cps;
+
+ r = mpn_mod_1s_4p (tp, tn, ppp << cps[1], cps);
+
+ idx = gmp_primes_ptab[i].idx;
+ np = gmp_primes_ptab[i].np;
+
+ /* Check divisibility by individual primes. */
+ dp = &gmp_primes_dtab[idx] + np;
+ for (j = -np; j < 0; j++)
+ {
+ q = r * dp[j].binv;
+ if (q <= dp[j].lim)
+ {
+ *where = i;
+ return dp[j].binv;
+ }
+ }
+
+ nprimes -= np;
+ if (nprimes <= 0)
+ return 0;
+ }
+ return 0;
+}