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-rw-r--r--rts/gmp/mpz/bin_uiui.c120
1 files changed, 120 insertions, 0 deletions
diff --git a/rts/gmp/mpz/bin_uiui.c b/rts/gmp/mpz/bin_uiui.c
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+/* mpz_bin_uiui - compute n over k.
+
+Copyright (C) 1998, 1999, 2000 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 the GNU Lesser General Public License as published by
+the Free Software Foundation; either version 2.1 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; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "longlong.h"
+
+
+/* Avoid reallocs by rounding up any new size */
+#define ROUNDUP_MASK 15
+
+/* Enhancement: use mpn_divexact_1 when it exists */
+#define MULDIV() \
+ MPZ_REALLOC (r, (SIZ(r)+1)|ROUNDUP_MASK); \
+ PTR(r)[SIZ(r)] = mpn_mul_1 (PTR(r), PTR(r), SIZ(r), nacc); \
+ ASSERT_NOCARRY (mpn_divrem_1 (PTR(r), (mp_size_t) 0, \
+ PTR(r), SIZ(r)+1, kacc)); \
+ SIZ(r) += (PTR(r)[SIZ(r)] != 0);
+
+void
+#if __STDC__
+mpz_bin_uiui (mpz_ptr r, unsigned long int n, unsigned long int k)
+#else
+mpz_bin_uiui (r, n, k)
+ mpz_ptr r;
+ unsigned long int n;
+ unsigned long int k;
+#endif
+{
+ unsigned long int i, j;
+ mp_limb_t nacc, kacc;
+ unsigned long int cnt;
+
+ /* bin(n,k) = 0 if k>n. */
+ if (n < k)
+ {
+ mpz_set_ui (r, 0);
+ return;
+ }
+
+ /* Rewrite bin(n,k) as bin(n,n-k) if that is smaller. */
+ k = MIN (k, n-k);
+
+ /* bin(n,0) = 1 */
+ if (k == 0)
+ {
+ mpz_set_ui (r, 1);
+ return;
+ }
+
+ j = n - k + 1;
+ mpz_set_ui (r, j);
+
+ /* Initialize accumulators. */
+ nacc = 1;
+ kacc = 1;
+
+ cnt = 0;
+ for (i = 2; i <= k; i++)
+ {
+ mp_limb_t n1, n0, k1, k0;
+
+ j++;
+#if 0
+ /* Remove common multiples of 2. This will allow us to accumulate
+ more in nacc and kacc before we need a bignum step. It would make
+ sense to cancel factors of 3, 5, etc too, but this would be best
+ handled by sieving out factors. Alternatively, we could perform a
+ gcd of the accumulators just as they have overflown, and keep
+ accumulating until the gcd doesn't remove a significant factor. */
+ while (((nacc | kacc) & 1) == 0)
+ {
+ nacc >>= 1;
+ kacc >>= 1;
+ }
+#else
+ cnt = ((nacc | kacc) & 1) ^ 1;
+ nacc >>= cnt;
+ kacc >>= cnt;
+#endif
+ /* Accumulate next multiples. */
+ umul_ppmm (n1, n0, nacc, j);
+ umul_ppmm (k1, k0, kacc, i);
+ if (n1 != 0)
+ {
+ /* Accumulator overflow. Perform bignum step. */
+ MULDIV ();
+ nacc = j;
+ kacc = i;
+ }
+ else
+ {
+ if (k1 != 0) abort ();
+ /* Save new products in accumulators to keep accumulating. */
+ nacc = n0;
+ kacc = k0;
+ }
+ }
+
+ /* Take care of whatever is left in accumulators. */
+ MULDIV ();
+}