Revert "Remove gmp from AOS"

This reverts commit f37c97684f0910a3f241394549392f00145ab0f7.

We need gmp for SymEngine for symbolicmanipultion in C++

Change-Id: Ia13216d1715cf96944f7b4f422b7a799f921d4a4
Signed-off-by: Austin Schuh <austin.linux@gmail.com>
diff --git a/third_party/gmp/tests/mpn/t-div.c b/third_party/gmp/tests/mpn/t-div.c
new file mode 100644
index 0000000..110385f
--- /dev/null
+++ b/third_party/gmp/tests/mpn/t-div.c
@@ -0,0 +1,497 @@
+/* Copyright 2006, 2007, 2009, 2010, 2013-2015, 2018 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 <stdlib.h>		/* for strtol */
+#include <stdio.h>		/* for printf */
+
+#include "gmp-impl.h"
+#include "longlong.h"
+#include "tests/tests.h"
+
+
+static void
+dumpy (mp_srcptr p, mp_size_t n)
+{
+  mp_size_t i;
+  if (n > 20)
+    {
+      for (i = n - 1; i >= n - 4; i--)
+	{
+	  printf ("%0*lx", (int) (2 * sizeof (mp_limb_t)), p[i]);
+	  printf (" ");
+	}
+      printf ("... ");
+      for (i = 3; i >= 0; i--)
+	{
+	  printf ("%0*lx", (int) (2 * sizeof (mp_limb_t)), p[i]);
+	  printf (i == 0 ? "" : " ");
+	}
+    }
+  else
+    {
+      for (i = n - 1; i >= 0; i--)
+	{
+	  printf ("%0*lx", (int) (2 * sizeof (mp_limb_t)), p[i]);
+	  printf (i == 0 ? "" : " ");
+	}
+    }
+  puts ("");
+}
+
+static signed long test;
+
+static void
+check_one (mp_ptr qp, mp_srcptr rp,
+	   mp_srcptr np, mp_size_t nn, mp_srcptr dp, mp_size_t dn,
+	   const char *fname, mp_limb_t q_allowed_err)
+{
+  mp_size_t qn = nn - dn + 1;
+  mp_ptr tp;
+  const char *msg;
+  const char *tvalue;
+  mp_limb_t i;
+  TMP_DECL;
+  TMP_MARK;
+
+  tp = TMP_ALLOC_LIMBS (nn + 1);
+  if (dn >= qn)
+    refmpn_mul (tp, dp, dn, qp, qn);
+  else
+    refmpn_mul (tp, qp, qn, dp, dn);
+
+  for (i = 0; i < q_allowed_err && (tp[nn] > 0 || mpn_cmp (tp, np, nn) > 0); i++)
+    ASSERT_NOCARRY (refmpn_sub (tp, tp, nn+1, dp, dn));
+
+  if (tp[nn] > 0 || mpn_cmp (tp, np, nn) > 0)
+    {
+      msg = "q too large";
+      tvalue = "Q*D";
+    error:
+      printf ("\r*******************************************************************************\n");
+      printf ("%s failed test %ld: %s\n", fname, test, msg);
+      printf ("N=    "); dumpy (np, nn);
+      printf ("D=    "); dumpy (dp, dn);
+      printf ("Q=    "); dumpy (qp, qn);
+      if (rp)
+	{ printf ("R=    "); dumpy (rp, dn); }
+      printf ("%5s=", tvalue); dumpy (tp, nn+1);
+      printf ("nn = %ld, dn = %ld, qn = %ld\n", nn, dn, qn);
+      abort ();
+    }
+
+  ASSERT_NOCARRY (refmpn_sub_n (tp, np, tp, nn));
+  tvalue = "N-Q*D";
+  if (!(nn == dn || mpn_zero_p (tp + dn, nn - dn)) || mpn_cmp (tp, dp, dn) >= 0)
+    {
+      msg = "q too small";
+      goto error;
+    }
+
+  if (rp && mpn_cmp (rp, tp, dn) != 0)
+    {
+      msg = "r incorrect";
+      goto error;
+    }
+
+  TMP_FREE;
+}
+
+
+/* These are *bit* sizes. */
+#ifndef SIZE_LOG
+#define SIZE_LOG 17
+#endif
+#define MAX_DN (1L << SIZE_LOG)
+#define MAX_NN (1L << (SIZE_LOG + 1))
+
+#define COUNT 200
+
+int
+main (int argc, char **argv)
+{
+  gmp_randstate_ptr rands;
+  unsigned long maxnbits, maxdbits, nbits, dbits;
+  mpz_t n, d, q, r, tz, junk;
+  mp_size_t maxnn, maxdn, nn, dn, clearn, i;
+  mp_ptr np, dup, dnp, qp, rp, junkp;
+  mp_limb_t t;
+  gmp_pi1_t dinv;
+  long count = COUNT;
+  mp_ptr scratch;
+  mp_limb_t ran;
+  mp_size_t alloc, itch;
+  mp_limb_t rran0, rran1, qran0, qran1;
+  TMP_DECL;
+
+  TESTS_REPS (count, argv, argc);
+
+  maxdbits = MAX_DN;
+  maxnbits = MAX_NN;
+
+  tests_start ();
+  rands = RANDS;
+
+  mpz_init (n);
+  mpz_init (d);
+  mpz_init (q);
+  mpz_init (r);
+  mpz_init (tz);
+  mpz_init (junk);
+
+  maxnn = maxnbits / GMP_NUMB_BITS + 1;
+  maxdn = maxdbits / GMP_NUMB_BITS + 1;
+
+  TMP_MARK;
+
+  qp = TMP_ALLOC_LIMBS (maxnn + 2) + 1;
+  rp = TMP_ALLOC_LIMBS (maxnn + 2) + 1;
+  dnp = TMP_ALLOC_LIMBS (maxdn);
+
+  alloc = 1;
+  scratch = __GMP_ALLOCATE_FUNC_LIMBS (alloc);
+
+  for (test = -300; test < count; test++)
+    {
+      nbits = urandom () % (maxnbits - GMP_NUMB_BITS) + 2 * GMP_NUMB_BITS;
+
+      if (test < 0)
+	dbits = (test + 300) % (nbits - 1) + 1;
+      else
+	dbits = urandom () % (nbits - 1) % maxdbits + 1;
+
+#if RAND_UNIFORM
+#define RANDFUNC mpz_urandomb
+#else
+#define RANDFUNC mpz_rrandomb
+#endif
+
+      do
+	RANDFUNC (d, rands, dbits);
+      while (mpz_sgn (d) == 0);
+      dn = SIZ (d);
+      dup = PTR (d);
+      MPN_COPY (dnp, dup, dn);
+      dnp[dn - 1] |= GMP_NUMB_HIGHBIT;
+
+      if (test % 2 == 0)
+	{
+	  RANDFUNC (n, rands, nbits);
+	  nn = SIZ (n);
+	  ASSERT_ALWAYS (nn >= dn);
+	}
+      else
+	{
+	  do
+	    {
+	      RANDFUNC (q, rands, urandom () % (nbits - dbits + 1));
+	      RANDFUNC (r, rands, urandom () % mpz_sizeinbase (d, 2));
+	      mpz_mul (n, q, d);
+	      mpz_add (n, n, r);
+	      nn = SIZ (n);
+	    }
+	  while (nn > maxnn || nn < dn);
+	}
+
+      ASSERT_ALWAYS (nn <= maxnn);
+      ASSERT_ALWAYS (dn <= maxdn);
+
+      mpz_urandomb (junk, rands, nbits);
+      junkp = PTR (junk);
+
+      np = PTR (n);
+
+      mpz_urandomb (tz, rands, 32);
+      t = mpz_get_ui (tz);
+
+      if (t % 17 == 0)
+	{
+	  dnp[dn - 1] = GMP_NUMB_MAX;
+	  dup[dn - 1] = GMP_NUMB_MAX;
+	}
+
+      switch ((int) t % 16)
+	{
+	case 0:
+	  clearn = urandom () % nn;
+	  for (i = clearn; i < nn; i++)
+	    np[i] = 0;
+	  break;
+	case 1:
+	  mpn_sub_1 (np + nn - dn, dnp, dn, urandom ());
+	  break;
+	case 2:
+	  mpn_add_1 (np + nn - dn, dnp, dn, urandom ());
+	  break;
+	}
+
+      if (dn >= 2)
+	invert_pi1 (dinv, dnp[dn - 1], dnp[dn - 2]);
+
+      rran0 = urandom ();
+      rran1 = urandom ();
+      qran0 = urandom ();
+      qran1 = urandom ();
+
+      qp[-1] = qran0;
+      qp[nn - dn + 1] = qran1;
+      rp[-1] = rran0;
+
+      ran = urandom ();
+
+      if ((double) (nn - dn) * dn < 1e5)
+	{
+	  /* Test mpn_sbpi1_div_qr */
+	  if (dn > 2)
+	    {
+	      MPN_COPY (rp, np, nn);
+	      if (nn > dn)
+		MPN_COPY (qp, junkp, nn - dn);
+	      qp[nn - dn] = mpn_sbpi1_div_qr (qp, rp, nn, dnp, dn, dinv.inv32);
+	      check_one (qp, rp, np, nn, dnp, dn, "mpn_sbpi1_div_qr", 0);
+	    }
+
+	  /* Test mpn_sbpi1_divappr_q */
+	  if (dn > 2)
+	    {
+	      MPN_COPY (rp, np, nn);
+	      if (nn > dn)
+		MPN_COPY (qp, junkp, nn - dn);
+	      qp[nn - dn] = mpn_sbpi1_divappr_q (qp, rp, nn, dnp, dn, dinv.inv32);
+	      check_one (qp, NULL, np, nn, dnp, dn, "mpn_sbpi1_divappr_q", 1);
+	    }
+
+	  /* Test mpn_sbpi1_div_q */
+	  if (dn > 2)
+	    {
+	      MPN_COPY (rp, np, nn);
+	      if (nn > dn)
+		MPN_COPY (qp, junkp, nn - dn);
+	      qp[nn - dn] = mpn_sbpi1_div_q (qp, rp, nn, dnp, dn, dinv.inv32);
+	      check_one (qp, NULL, np, nn, dnp, dn, "mpn_sbpi1_div_q", 0);
+	    }
+
+	  /* Test mpn_sec_div_qr */
+	  itch = mpn_sec_div_qr_itch (nn, dn);
+	  if (itch + 1 > alloc)
+	    {
+	      scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
+	      alloc = itch + 1;
+	    }
+	  scratch[itch] = ran;
+	  MPN_COPY (rp, np, nn);
+	  if (nn >= dn)
+	    MPN_COPY (qp, junkp, nn - dn + 1);
+	  qp[nn - dn] = mpn_sec_div_qr (qp, rp, nn, dup, dn, scratch);
+	  ASSERT_ALWAYS (ran == scratch[itch]);
+	  check_one (qp, rp, np, nn, dup, dn, "mpn_sec_div_qr (unnorm)", 0);
+
+	  /* Test mpn_sec_div_r */
+	  itch = mpn_sec_div_r_itch (nn, dn);
+	  if (itch + 1 > alloc)
+	    {
+	      scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
+	      alloc = itch + 1;
+	    }
+	  scratch[itch] = ran;
+	  MPN_COPY (rp, np, nn);
+	  mpn_sec_div_r (rp, nn, dup, dn, scratch);
+	  ASSERT_ALWAYS (ran == scratch[itch]);
+	  /* Note: Since check_one cannot cope with remainder-only functions, we
+	     pass qp[] from the previous function, mpn_sec_div_qr.  */
+	  check_one (qp, rp, np, nn, dup, dn, "mpn_sec_div_r (unnorm)", 0);
+
+	  /* Normalised case, mpn_sec_div_qr */
+	  itch = mpn_sec_div_qr_itch (nn, dn);
+	  scratch[itch] = ran;
+
+	  MPN_COPY (rp, np, nn);
+	  if (nn >= dn)
+	    MPN_COPY (qp, junkp, nn - dn + 1);
+	  qp[nn - dn] = mpn_sec_div_qr (qp, rp, nn, dnp, dn, scratch);
+	  ASSERT_ALWAYS (ran == scratch[itch]);
+	  check_one (qp, rp, np, nn, dnp, dn, "mpn_sec_div_qr (norm)", 0);
+
+	  /* Normalised case, mpn_sec_div_r */
+	  itch = mpn_sec_div_r_itch (nn, dn);
+	  scratch[itch] = ran;
+	  MPN_COPY (rp, np, nn);
+	  mpn_sec_div_r (rp, nn, dnp, dn, scratch);
+	  ASSERT_ALWAYS (ran == scratch[itch]);
+	  /* Note: Since check_one cannot cope with remainder-only functions, we
+	     pass qp[] from the previous function, mpn_sec_div_qr.  */
+	  check_one (qp, rp, np, nn, dnp, dn, "mpn_sec_div_r (norm)", 0);
+	}
+
+      /* Test mpn_dcpi1_div_qr */
+      if (dn >= 6 && nn - dn >= 3)
+	{
+	  MPN_COPY (rp, np, nn);
+	  if (nn > dn)
+	    MPN_COPY (qp, junkp, nn - dn);
+	  qp[nn - dn] = mpn_dcpi1_div_qr (qp, rp, nn, dnp, dn, &dinv);
+	  ASSERT_ALWAYS (qp[-1] == qran0);  ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
+	  ASSERT_ALWAYS (rp[-1] == rran0);
+	  check_one (qp, rp, np, nn, dnp, dn, "mpn_dcpi1_div_qr", 0);
+	}
+
+      /* Test mpn_dcpi1_divappr_q */
+      if (dn >= 6 && nn - dn >= 3)
+	{
+	  MPN_COPY (rp, np, nn);
+	  if (nn > dn)
+	    MPN_COPY (qp, junkp, nn - dn);
+	  qp[nn - dn] = mpn_dcpi1_divappr_q (qp, rp, nn, dnp, dn, &dinv);
+	  ASSERT_ALWAYS (qp[-1] == qran0);  ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
+	  ASSERT_ALWAYS (rp[-1] == rran0);
+	  check_one (qp, NULL, np, nn, dnp, dn, "mpn_dcpi1_divappr_q", 1);
+	}
+
+      /* Test mpn_dcpi1_div_q */
+      if (dn >= 6 && nn - dn >= 3)
+	{
+	  MPN_COPY (rp, np, nn);
+	  if (nn > dn)
+	    MPN_COPY (qp, junkp, nn - dn);
+	  qp[nn - dn] = mpn_dcpi1_div_q (qp, rp, nn, dnp, dn, &dinv);
+	  ASSERT_ALWAYS (qp[-1] == qran0);  ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
+	  ASSERT_ALWAYS (rp[-1] == rran0);
+	  check_one (qp, NULL, np, nn, dnp, dn, "mpn_dcpi1_div_q", 0);
+	}
+
+     /* Test mpn_mu_div_qr */
+      if (nn - dn > 2 && dn >= 2)
+	{
+	  itch = mpn_mu_div_qr_itch (nn, dn, 0);
+	  if (itch + 1 > alloc)
+	    {
+	      scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
+	      alloc = itch + 1;
+	    }
+	  scratch[itch] = ran;
+	  MPN_COPY (qp, junkp, nn - dn);
+	  MPN_ZERO (rp, dn);
+	  rp[dn] = rran1;
+	  qp[nn - dn] = mpn_mu_div_qr (qp, rp, np, nn, dnp, dn, scratch);
+	  ASSERT_ALWAYS (ran == scratch[itch]);
+	  ASSERT_ALWAYS (qp[-1] == qran0);  ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
+	  ASSERT_ALWAYS (rp[-1] == rran0);  ASSERT_ALWAYS (rp[dn] == rran1);
+	  check_one (qp, rp, np, nn, dnp, dn, "mpn_mu_div_qr", 0);
+	}
+
+      /* Test mpn_mu_divappr_q */
+      if (nn - dn > 2 && dn >= 2)
+	{
+	  itch = mpn_mu_divappr_q_itch (nn, dn, 0);
+	  if (itch + 1 > alloc)
+	    {
+	      scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
+	      alloc = itch + 1;
+	    }
+	  scratch[itch] = ran;
+	  MPN_COPY (qp, junkp, nn - dn);
+	  qp[nn - dn] = mpn_mu_divappr_q (qp, np, nn, dnp, dn, scratch);
+	  ASSERT_ALWAYS (ran == scratch[itch]);
+	  ASSERT_ALWAYS (qp[-1] == qran0);  ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
+	  check_one (qp, NULL, np, nn, dnp, dn, "mpn_mu_divappr_q", 4);
+	}
+
+      /* Test mpn_mu_div_q */
+      if (nn - dn > 2 && dn >= 2)
+	{
+	  itch = mpn_mu_div_q_itch (nn, dn, 0);
+	  if (itch + 1> alloc)
+	    {
+	      scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
+	      alloc = itch + 1;
+	    }
+	  scratch[itch] = ran;
+	  MPN_COPY (qp, junkp, nn - dn);
+	  qp[nn - dn] = mpn_mu_div_q (qp, np, nn, dnp, dn, scratch);
+	  ASSERT_ALWAYS (ran == scratch[itch]);
+	  ASSERT_ALWAYS (qp[-1] == qran0);  ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
+	  check_one (qp, NULL, np, nn, dnp, dn, "mpn_mu_div_q", 0);
+	}
+
+      if (1)
+	{
+	  itch = nn + 1;
+	  if (itch + 1> alloc)
+	    {
+	      scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
+	      alloc = itch + 1;
+	    }
+	  scratch[itch] = ran;
+	  MPN_COPY (qp, junkp, nn - dn + 1);
+	  mpn_div_q (qp, np, nn, dup, dn, scratch);
+	  ASSERT_ALWAYS (ran == scratch[itch]);
+	  ASSERT_ALWAYS (qp[-1] == qran0);  ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
+	  check_one (qp, NULL, np, nn, dup, dn, "mpn_div_q", 0);
+	}
+
+      if (dn >= 2 && nn >= 2)
+	{
+	  mp_limb_t qh;
+
+	  /* mpn_divrem_2 */
+	  MPN_COPY (rp, np, nn);
+	  qp[nn - 2] = qp[nn-1] = qran1;
+
+	  qh = mpn_divrem_2 (qp, 0, rp, nn, dnp + dn - 2);
+	  ASSERT_ALWAYS (qp[nn - 2] == qran1);
+	  ASSERT_ALWAYS (qp[-1] == qran0);  ASSERT_ALWAYS (qp[nn - 1] == qran1);
+	  qp[nn - 2] = qh;
+	  check_one (qp, rp, np, nn, dnp + dn - 2, 2, "mpn_divrem_2", 0);
+
+	  /* Missing: divrem_2 with fraction limbs. */
+
+	  /* mpn_div_qr_2 */
+	  qp[nn - 2] = qran1;
+
+	  qh = mpn_div_qr_2 (qp, rp, np, nn, dup + dn - 2);
+	  ASSERT_ALWAYS (qp[nn - 2] == qran1);
+	  ASSERT_ALWAYS (qp[-1] == qran0);  ASSERT_ALWAYS (qp[nn - 1] == qran1);
+	  qp[nn - 2] = qh;
+	  check_one (qp, rp, np, nn, dup + dn - 2, 2, "mpn_div_qr_2", 0);
+	}
+      if (dn >= 1 && nn >= 1)
+	{
+	  /* mpn_div_qr_1 */
+	  mp_limb_t qh;
+	  qp[nn-1] = qran1;
+	  rp[0] = mpn_div_qr_1 (qp, &qh, np, nn, dnp[dn - 1]);
+	  ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - 1] == qran1);
+	  qp[nn - 1] = qh;
+	  check_one (qp, rp, np, nn,  dnp + dn - 1, 1, "mpn_div_qr_1", 0);
+	}
+    }
+
+  __GMP_FREE_FUNC_LIMBS (scratch, alloc);
+
+  TMP_FREE;
+
+  mpz_clear (n);
+  mpz_clear (d);
+  mpz_clear (q);
+  mpz_clear (r);
+  mpz_clear (tz);
+  mpz_clear (junk);
+
+  tests_end ();
+  return 0;
+}