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/mini-gmp/tests/t-sqrt.c b/third_party/gmp/mini-gmp/tests/t-sqrt.c
new file mode 100644
index 0000000..dd4c83a
--- /dev/null
+++ b/third_party/gmp/mini-gmp/tests/t-sqrt.c
@@ -0,0 +1,181 @@
+/*
+
+Copyright 2012, 2014, Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU 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 test suite 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 a copy of the GNU General Public License along with
+the GNU MP Library test suite.  If not, see https://www.gnu.org/licenses/.  */
+
+#include <limits.h>
+#include <stdlib.h>
+#include <stdio.h>
+
+#include "testutils.h"
+
+#define MAXBITS 400
+#define COUNT 9000
+
+/* Called when s is supposed to be floor(sqrt(u)), and r = u - s^2 */
+static int
+sqrtrem_valid_p (const mpz_t u, const mpz_t s, const mpz_t r)
+{
+  mpz_t t;
+
+  mpz_init (t);
+  mpz_mul (t, s, s);
+  mpz_sub (t, u, t);
+  if (mpz_sgn (t) < 0 || mpz_cmp (t, r) != 0)
+    {
+      mpz_clear (t);
+      return 0;
+    }
+  mpz_add_ui (t, s, 1);
+  mpz_mul (t, t, t);
+  if (mpz_cmp (t, u) <= 0)
+    {
+      mpz_clear (t);
+      return 0;
+    }
+
+  mpz_clear (t);
+  return 1;
+}
+
+void
+mpz_mpn_sqrtrem (mpz_t s, mpz_t r, const mpz_t u)
+{
+  mp_limb_t *sp, *rp;
+  mp_size_t un, sn, ret;
+
+  un = mpz_size (u);
+
+  mpz_xor (s, s, u);
+  sn = (un + 1) / 2;
+  sp = mpz_limbs_write (s, sn + 1);
+  sp [sn] = 11;
+
+  if (un & 1)
+    rp = NULL; /* Exploits the fact that r already is correct. */
+  else {
+    mpz_add (r, u, s);
+    rp = mpz_limbs_write (r, un + 1);
+    rp [un] = 19;
+  }
+
+  ret = mpn_sqrtrem (sp, rp, mpz_limbs_read (u), un);
+
+  if (sp [sn] != 11)
+    {
+      fprintf (stderr, "mpn_sqrtrem buffer overrun on sp.\n");
+      abort ();
+    }
+  if (un & 1) {
+    if ((ret != 0) != (mpz_size (r) != 0)) {
+      fprintf (stderr, "mpn_sqrtrem wrong return value with NULL.\n");
+      abort ();
+    }
+  } else {
+    mpz_limbs_finish (r, ret);
+    if ((size_t) ret != mpz_size (r)) {
+      fprintf (stderr, "mpn_sqrtrem wrong return value.\n");
+      abort ();
+    }
+    if (rp [un] != 19)
+      {
+	fprintf (stderr, "mpn_sqrtrem buffer overrun on rp.\n");
+	abort ();
+      }
+  }
+
+  mpz_limbs_finish (s, (un + 1) / 2);
+}
+
+void
+testmain (int argc, char **argv)
+{
+  unsigned i;
+  mpz_t u, s, r;
+
+  mpz_init (s);
+  mpz_init (r);
+
+  mpz_init_set_si (u, -1);
+  if (mpz_perfect_square_p (u))
+    {
+      fprintf (stderr, "mpz_perfect_square_p failed on -1.\n");
+      abort ();
+    }
+
+  if (!mpz_perfect_square_p (s))
+    {
+      fprintf (stderr, "mpz_perfect_square_p failed on 0.\n");
+      abort ();
+    }
+
+  for (i = 0; i < COUNT; i++)
+    {
+      mini_rrandomb (u, MAXBITS - (i & 0xFF));
+      mpz_sqrtrem (s, r, u);
+
+      if (!sqrtrem_valid_p (u, s, r))
+	{
+	  fprintf (stderr, "mpz_sqrtrem failed:\n");
+	  dump ("u", u);
+	  dump ("sqrt", s);
+	  dump ("rem", r);
+	  abort ();
+	}
+
+      mpz_mpn_sqrtrem (s, r, u);
+
+      if (!sqrtrem_valid_p (u, s, r))
+	{
+	  fprintf (stderr, "mpn_sqrtrem failed:\n");
+	  dump ("u", u);
+	  dump ("sqrt", s);
+	  dump ("rem", r);
+	  abort ();
+	}
+
+      if (mpz_sgn (r) == 0) {
+	mpz_neg (u, u);
+	mpz_sub_ui (u, u, 1);
+      }
+
+      if ((mpz_sgn (u) <= 0 || (i & 1)) ?
+	  mpz_perfect_square_p (u) :
+	  mpn_perfect_square_p (mpz_limbs_read (u), mpz_size (u)))
+	{
+	  fprintf (stderr, "mp%s_perfect_square_p failed on non square:\n",
+		   (mpz_sgn (u) <= 0 || (i & 1)) ? "z" : "n");
+	  dump ("u", u);
+	  abort ();
+	}
+
+      mpz_mul (u, s, s);
+      if (!((mpz_sgn (u) <= 0 || (i & 1)) ?
+	    mpz_perfect_square_p (u) :
+	    mpn_perfect_square_p (mpz_limbs_read (u), mpz_size (u))))
+	{
+	  fprintf (stderr, "mp%s_perfect_square_p failed on square:\n",
+		   (mpz_sgn (u) <= 0 || (i & 1)) ? "z" : "n");
+	  dump ("u", u);
+	  abort ();
+	}
+
+    }
+  mpz_clear (u);
+  mpz_clear (s);
+  mpz_clear (r);
+}