Add libgmp 6.2.0 to third_party

Don't build it yet.  That will come in the next review.

Change-Id: Idf3266558165e5ab45f4a41c98cc8c838c8244d5
diff --git a/third_party/gmp/mpz/remove.c b/third_party/gmp/mpz/remove.c
new file mode 100644
index 0000000..a655121
--- /dev/null
+++ b/third_party/gmp/mpz/remove.c
@@ -0,0 +1,146 @@
+/* mpz_remove -- divide out a factor and return its multiplicity.
+
+Copyright 1998-2002, 2012 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/.  */
+
+#include "gmp-impl.h"
+
+mp_bitcnt_t
+mpz_remove (mpz_ptr dest, mpz_srcptr src, mpz_srcptr f)
+{
+  mp_bitcnt_t pwr;
+  mp_srcptr fp;
+  mp_size_t sn, fn, afn;
+  mp_limb_t fp0;
+
+  sn = SIZ (src);
+  fn = SIZ (f);
+  fp = PTR (f);
+  afn = ABS (fn);
+  fp0 = fp[0];
+
+  if (UNLIKELY ((afn <= (fp0 == 1)) /* mpz_cmpabs_ui (f, 1) <= 0 */
+		| (sn == 0)))
+    {
+      /*  f = 0 or f = +- 1 or src = 0 */
+      if (afn == 0)
+	DIVIDE_BY_ZERO;
+      mpz_set (dest, src);
+      return 0;
+    }
+
+  if ((fp0 & 1) != 0)
+    { /* f is odd */
+      mp_ptr dp;
+      mp_size_t dn;
+
+      dn = ABS (sn);
+      dp = MPZ_REALLOC (dest, dn);
+
+      pwr = mpn_remove (dp, &dn, PTR(src), dn, PTR(f), afn, ~(mp_bitcnt_t) 0);
+
+      SIZ (dest) = ((pwr & (fn < 0)) ^ (sn < 0)) ? -dn : dn;
+    }
+  else if (afn == (fp0 == 2))
+    { /* mpz_cmpabs_ui (f, 2) == 0 */
+      pwr = mpz_scan1 (src, 0);
+      mpz_div_2exp (dest, src, pwr);
+      if (pwr & (fn < 0)) /*((pwr % 2 == 1) && (SIZ (f) < 0))*/
+	mpz_neg (dest, dest);
+    }
+  else
+    { /* f != +-2 */
+      mpz_t x, rem;
+
+      mpz_init (rem);
+      mpz_init (x);
+
+      pwr = 0;
+      mpz_tdiv_qr (x, rem, src, f);
+      if (SIZ (rem) == 0)
+	{
+	  mpz_t fpow[GMP_LIMB_BITS];		/* Really MP_SIZE_T_BITS */
+	  int p;
+
+#if WANT_ORIGINAL_DEST
+	  mp_ptr dp;
+	  dp = PTR (dest);
+#endif
+      /* 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_set (fpow[0], f);
+	  mpz_swap (dest, x);
+
+	  p = 1;
+      /* Divide by f, f^2 ... f^(2^k) until we get a remainder for f^(2^k).  */
+	  while (ABSIZ (dest) >= 2 * ABSIZ (fpow[p - 1]) - 1)
+	    {
+	      mpz_init (fpow[p]);
+	      mpz_mul (fpow[p], fpow[p - 1], fpow[p - 1]);
+	      mpz_tdiv_qr (x, rem, dest, fpow[p]);
+	      if (SIZ (rem) != 0) {
+		mpz_clear (fpow[p]);
+		break;
+	      }
+	      mpz_swap (dest, x);
+	      p++;
+	    }
+
+	  pwr = ((mp_bitcnt_t)1 << p) - 1;
+
+      /* 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 += (mp_bitcnt_t)1 << p;
+		  mpz_swap (dest, x);
+		}
+	      mpz_clear (fpow[p]);
+	    }
+
+#if WANT_ORIGINAL_DEST
+	  if (PTR (x) == dp) {
+	    mpz_swap (dest, x);
+	    mpz_set (dest, x);
+	  }
+#endif
+	}
+      else
+	mpz_set (dest, src);
+
+      mpz_clear (x);
+      mpz_clear (rem);
+    }
+
+  return pwr;
+}