--- /dev/null
+/* mpz_remove -- divide out a factor and return its multiplicity.
+
+Copyright 1998, 1999, 2000, 2001, 2002 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 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"
+
+unsigned long int
+mpz_remove (mpz_ptr dest, mpz_srcptr src, mpz_srcptr f)
+{
+ mpz_t fpow[40]; /* inexhaustible...until year 2020 or so */
+ mpz_t x, rem;
+ unsigned long int pwr;
+ int p;
+
+ if (mpz_cmp_ui (f, 1) <= 0)
+ DIVIDE_BY_ZERO;
+
+ if (SIZ (src) == 0)
+ {
+ if (src != dest)
+ mpz_set (dest, src);
+ return 0;
+ }
+
+ if (mpz_cmp_ui (f, 2) == 0)
+ {
+ unsigned long int s0;
+ s0 = mpz_scan1 (src, 0);
+ mpz_div_2exp (dest, src, s0);
+ return s0;
+ }
+
+ /* We could perhaps compute mpz_scan1(src,0)/mpz_scan1(f,0). It is an
+ upper bound of the result we're seeking. We could also shift down the
+ operands so that they become odd, to make intermediate values smaller. */
+
+ mpz_init (rem);
+ mpz_init (x);
+
+ pwr = 0;
+ mpz_init (fpow[0]);
+ mpz_set (fpow[0], f);
+ mpz_set (dest, src);
+
+ /* Divide by f, f^2, ..., f^(2^k) until we get a remainder for f^(2^k). */
+ for (p = 0;; p++)
+ {
+ mpz_tdiv_qr (x, rem, dest, fpow[p]);
+ if (SIZ (rem) != 0)
+ break;
+ mpz_init (fpow[p + 1]);
+ mpz_mul (fpow[p + 1], fpow[p], fpow[p]);
+ mpz_set (dest, x);
+ }
+
+ pwr = (1 << p) - 1;
+
+ mpz_clear (fpow[p]);
+
+ /* Divide by f^(2^(k-1)), f^(2^(k-2)), ..., f for all divisors that give a
+ zero remainder. */
+ while (--p >= 0)
+ {
+ mpz_tdiv_qr (x, rem, dest, fpow[p]);
+ if (SIZ (rem) == 0)
+ {
+ pwr += 1 << p;
+ mpz_set (dest, x);
+ }
+ mpz_clear (fpow[p]);
+ }
+
+ mpz_clear (x);
+ mpz_clear (rem);
+ return pwr;
+}