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/tests/mpz/t-root.c b/third_party/gmp/tests/mpz/t-root.c
new file mode 100644
index 0000000..e1ce159
--- /dev/null
+++ b/third_party/gmp/tests/mpz/t-root.c
@@ -0,0 +1,174 @@
+/* Test mpz_root, mpz_rootrem, and mpz_perfect_power_p.
+
+Copyright 1991, 1993, 1994, 1996, 2000, 2001, 2009, 2015 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 <stdio.h>
+#include <stdlib.h>
+
+#include "gmp-impl.h"
+#include "tests.h"
+
+void debug_mp (mpz_t, int);
+
+void
+check_one (mpz_t root1, mpz_t x2, unsigned long nth, int res, int i)
+{
+ mpz_t temp, temp2;
+ mpz_t root2, rem2;
+
+ mpz_init (root2);
+ mpz_init (rem2);
+ mpz_init (temp);
+ mpz_init (temp2);
+
+ MPZ_CHECK_FORMAT (root1);
+
+ mpz_rootrem (root2, rem2, x2, nth);
+ MPZ_CHECK_FORMAT (root2);
+ MPZ_CHECK_FORMAT (rem2);
+
+ mpz_pow_ui (temp, root1, nth);
+ MPZ_CHECK_FORMAT (temp);
+
+ mpz_add (temp2, temp, rem2);
+
+ /* Is power of result > argument? */
+ if (mpz_cmp (root1, root2) != 0 || mpz_cmp (x2, temp2) != 0 || mpz_cmpabs (temp, x2) > 0 || res == mpz_cmp_ui (rem2, 0))
+ {
+ fprintf (stderr, "ERROR after test %d\n", i);
+ debug_mp (x2, 10);
+ debug_mp (root1, 10);
+ debug_mp (root2, 10);
+ fprintf (stderr, "nth: %lu ,res: %i\n", nth, res);
+ abort ();
+ }
+
+ if (nth > 1 && mpz_cmp_ui (temp, 1L) > 0 && ! mpz_perfect_power_p (temp))
+ {
+ fprintf (stderr, "ERROR in mpz_perfect_power_p after test %d\n", i);
+ debug_mp (temp, 10);
+ debug_mp (root1, 10);
+ fprintf (stderr, "nth: %lu\n", nth);
+ abort ();
+ }
+
+ if (nth <= 10000 && mpz_sgn(x2) > 0) /* skip too expensive test */
+ {
+ mpz_add_ui (temp2, root1, 1L);
+ mpz_pow_ui (temp2, temp2, nth);
+ MPZ_CHECK_FORMAT (temp2);
+
+ /* Is square of (result + 1) <= argument? */
+ if (mpz_cmp (temp2, x2) <= 0)
+ {
+ fprintf (stderr, "ERROR after test %d\n", i);
+ debug_mp (x2, 10);
+ debug_mp (root1, 10);
+ fprintf (stderr, "nth: %lu\n", nth);
+ abort ();
+ }
+ }
+
+ mpz_clear (root2);
+ mpz_clear (rem2);
+ mpz_clear (temp);
+ mpz_clear (temp2);
+}
+
+int
+main (int argc, char **argv)
+{
+ mpz_t x2;
+ mpz_t root1;
+ mp_size_t x2_size;
+ int i, res;
+ int reps = 500;
+ unsigned long nth;
+ gmp_randstate_ptr rands;
+ mpz_t bs;
+ unsigned long bsi, size_range;
+
+ tests_start ();
+ TESTS_REPS (reps, argv, argc);
+
+ rands = RANDS;
+
+ mpz_init (bs);
+
+ mpz_init (x2);
+ mpz_init (root1);
+
+ /* This triggers a gcc 4.3.2 bug */
+ mpz_set_str (x2, "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff80000000000000000000000000000000000000000000000000000000000000002", 16);
+ res = mpz_root (root1, x2, 2);
+ check_one (root1, x2, 2, res, -1);
+
+ for (i = 0; i < reps; i++)
+ {
+ mpz_urandomb (bs, rands, 32);
+ size_range = mpz_get_ui (bs) % 17 + 2;
+
+ mpz_urandomb (bs, rands, size_range);
+ x2_size = mpz_get_ui (bs) + 10;
+ mpz_rrandomb (x2, rands, x2_size);
+
+ mpz_urandomb (bs, rands, 15);
+ nth = mpz_getlimbn (bs, 0) % mpz_sizeinbase (x2, 2) + 2;
+
+ res = mpz_root (root1, x2, nth);
+
+ mpz_urandomb (bs, rands, 4);
+ bsi = mpz_get_ui (bs);
+ if ((bsi & 1) != 0)
+ {
+ /* With 50% probability, set x2 near a perfect power. */
+ mpz_pow_ui (x2, root1, nth);
+ if ((bsi & 2) != 0)
+ {
+ mpz_sub_ui (x2, x2, bsi >> 2);
+ mpz_abs (x2, x2);
+ }
+ else
+ mpz_add_ui (x2, x2, bsi >> 2);
+ res = mpz_root (root1, x2, nth);
+ }
+
+ check_one (root1, x2, nth, res, i);
+
+ if (((nth & 1) != 0) && ((bsi & 2) != 0))
+ {
+ mpz_neg (x2, x2);
+ mpz_neg (root1, root1);
+ check_one (root1, x2, nth, res, i);
+ }
+ }
+
+ mpz_clear (bs);
+ mpz_clear (x2);
+ mpz_clear (root1);
+
+ tests_end ();
+ exit (0);
+}
+
+void
+debug_mp (mpz_t x, int base)
+{
+ mpz_out_str (stderr, base, x); fputc ('\n', stderr);
+}