aboutsummaryrefslogtreecommitdiff
path: root/gmp-6.3.0/tests/devel/sqrtrem_1_2.c
diff options
context:
space:
mode:
Diffstat (limited to 'gmp-6.3.0/tests/devel/sqrtrem_1_2.c')
-rw-r--r--gmp-6.3.0/tests/devel/sqrtrem_1_2.c401
1 files changed, 401 insertions, 0 deletions
diff --git a/gmp-6.3.0/tests/devel/sqrtrem_1_2.c b/gmp-6.3.0/tests/devel/sqrtrem_1_2.c
new file mode 100644
index 0000000..3951191
--- /dev/null
+++ b/gmp-6.3.0/tests/devel/sqrtrem_1_2.c
@@ -0,0 +1,401 @@
+/*
+Copyright 2017 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/. */
+
+/* Usage:
+
+ ./sqrtrem_1_2 x
+
+ Checks mpn_sqrtrem() exhaustively, starting from 0, incrementing
+ the operand by a single unit, until all values handled by
+ mpn_sqrtrem{1,2} are tested. SLOW.
+
+ ./sqrtrem_1_2 s 1
+
+ Checks some special cases for mpn_sqrtrem(). I.e. values of the form
+ 2^k*i and 2^k*(i+1)-1, with k=2^n and 0<i<2^k, until all such values,
+ handled by mpn_sqrtrem{1,2}, are tested.
+ Currently supports only the test of values that fits in one limb.
+ Less slow than the exhaustive test.
+
+ ./sqrtrem_1_2 c
+
+ Checks all corner cases for mpn_sqrtrem(). I.e. values of the form
+ i*i and (i+1)*(i+1)-1, for each value of i, until all such values,
+ handled by mpn_sqrtrem{1,2}, are tested.
+ Slightly faster than the special cases test.
+
+ For larger values, use
+ ./try mpn_sqrtrem
+
+ */
+
+#include <stdlib.h>
+#include <stdio.h>
+#include "gmp-impl.h"
+#include "longlong.h"
+#include "tests.h"
+#define STOP(x) return (x)
+/* #define STOP(x) x */
+#define SPINNER(v) \
+ do { \
+ MPN_SIZEINBASE_2EXP (spinner_count, q, v, 1); \
+ --spinner_count; \
+ spinner(); \
+ } while (0)
+
+int something_wrong (mp_limb_t er, mp_limb_t ec, mp_limb_t es)
+{
+ fprintf (stderr, "root = %lu , rem = {%lu , %lu}\n", (long unsigned) es,(long unsigned) ec,(long unsigned) er);
+ return -1;
+}
+
+int
+check_all_values (int justone, int quick)
+{
+ mp_limb_t es, mer, er, s[1], r[2], q[2];
+ mp_size_t x;
+ unsigned bits;
+
+ es=1;
+ if (quick) {
+ printf ("Quick, skipping some... (%u)\n", GMP_NUMB_BITS - 2);
+ es <<= GMP_NUMB_BITS / 2 - 1;
+ }
+ er=0;
+ mer= es << 1;
+ *q = es * es;
+ printf ("All values tested, up to bits:\n");
+ do {
+ x = mpn_sqrtrem (s, r, q, 1);
+ if (UNLIKELY (x != (er != 0)) || UNLIKELY (*s != es)
+ || UNLIKELY ((x == 1) && (er != *r)))
+ STOP (something_wrong (er, 0, es));
+
+ if (UNLIKELY (er == mer)) {
+ ++es;
+ if (UNLIKELY ((es & 0xff) == 0))
+ SPINNER(1);
+ mer +=2; /* mer = es * 2 */
+ er = 0;
+ } else
+ ++er;
+ ++*q;
+ } while (*q != 0);
+ q[1] = 1;
+ SPINNER(2);
+ printf ("\nValues of a single limb, tested.\n");
+ if (justone) return 0;
+ printf ("All values tested, up to bits:\n");
+ do {
+ x = mpn_sqrtrem (s, r, q, 2);
+ if (UNLIKELY (x != (er != 0)) || UNLIKELY (*s != es)
+ || UNLIKELY ((x == 1) && (er != *r)))
+ STOP (something_wrong (er, 0, es));
+
+ if (UNLIKELY (er == mer)) {
+ ++es;
+ if (UNLIKELY ((es & 0x7f) == 0))
+ SPINNER(2);
+ mer +=2; /* mer = es * 2 */
+ if (UNLIKELY (mer == 0))
+ break;
+ er = 0;
+ } else
+ ++er;
+ q[1] += (++*q == 0);
+ } while (1);
+ SPINNER(2);
+ printf ("\nValues with at most a limb for reminder, tested.\n");
+ printf ("Testing more values not supported, jet.\n");
+ return 0;
+}
+
+mp_limb_t
+upd (mp_limb_t *s, mp_limb_t k)
+{
+ mp_limb_t _s = *s;
+
+ while (k > _s * 2)
+ {
+ k -= _s * 2 + 1;
+ ++_s;
+ }
+ *s = _s;
+ return k;
+}
+
+mp_limb_t
+upd1 (mp_limb_t *s, mp_limb_t k)
+{
+ mp_limb_t _s = *s;
+
+ if (LIKELY (k < _s * 2)) return k + 1;
+ *s = _s + 1;
+ return k - _s * 2;
+}
+
+int
+check_some_values (int justone, int quick)
+{
+ mp_limb_t es, her, er, k, s[1], r[2], q[2];
+ mp_size_t x;
+ unsigned bits;
+
+ es = 1 << 1;
+ if (quick) {
+ es <<= GMP_NUMB_BITS / 4 - 1;
+ printf ("Quick, skipping some... (%u)\n", GMP_NUMB_BITS / 2);
+ }
+ er = 0;
+ *q = es * es;
+ printf ("High-half values tested, up to bits:\n");
+ do {
+ k = *q - 1;
+ do {
+ x = mpn_sqrtrem (s, r, q, 1);
+ if (UNLIKELY (x != (er != 0)) || UNLIKELY (*s != es)
+ || UNLIKELY ((x == 1) && (er != *r)))
+ STOP (something_wrong (er, 0, es));
+
+ if (UNLIKELY ((es & 0xffff) == 0))
+ SPINNER(1);
+ if ((*q & k) == 0) {
+ *q |= k;
+ er = upd (&es, k + er);
+ } else {
+ ++*q;
+ er = upd1 (&es, er);
+ }
+ } while (es & k);
+ } while (*q != 0);
+ q[1] = 1;
+ SPINNER(2);
+ printf ("\nValues of a single limb, tested.\n");
+ if (justone) return 0;
+ if (quick) {
+ es <<= GMP_NUMB_BITS / 2 - 1;
+ q[1] <<= GMP_NUMB_BITS - 2;
+ printf ("Quick, skipping some... (%u)\n", GMP_NUMB_BITS - 2);
+ }
+ printf ("High-half values tested, up to bits:\n");
+ do {
+ x = mpn_sqrtrem (s, r, q, 2);
+ if (UNLIKELY (x != (er != 0)) || UNLIKELY (*s != es)
+ || UNLIKELY ((x == 1) && (er != *r)))
+ STOP (something_wrong (er, 0, es));
+
+ if (*q == 0) {
+ *q = GMP_NUMB_MAX;
+ if (UNLIKELY ((es & 0xffff) == 0)) {
+ if (UNLIKELY (es == GMP_NUMB_HIGHBIT))
+ break;
+ SPINNER(2);
+ }
+ /* er = er + GMP_NUMB_MAX - 1 - es*2 // postponed */
+ ++es;
+ /* er = er + GMP_NUMB_MAX - 1 - 2*(es-1) =
+ = er +(GMP_NUMB_MAX + 1)- 2* es = er - 2*es */
+ er = upd (&es, er - 2 * es);
+ } else {
+ *q = 0;
+ ++q[1];
+ er = upd1 (&es, er);
+ }
+ } while (1);
+ SPINNER(2);
+ printf ("\nValues with at most a limb for reminder, tested.\n");
+ er = GMP_NUMB_MAX; her = 0;
+
+ printf ("High-half values tested, up to bits:\n");
+ do {
+ x = mpn_sqrtrem (s, r, q, 2);
+ if (UNLIKELY (x != (her?2:(er != 0))) || UNLIKELY (*s != es)
+ || UNLIKELY ((x != 0) && ((er != *r) || ((x == 2) && (r[1] != 1)))))
+ STOP (something_wrong (er, her, es));
+
+ if (*q == 0) {
+ *q = GMP_NUMB_MAX;
+ if (UNLIKELY ((es & 0xffff) == 0)) {
+ SPINNER(2);
+ }
+ if (her) {
+ ++es;
+ her = 0;
+ er = er - 2 * es;
+ } else {
+ her = --er != GMP_NUMB_MAX;
+ if (her & (er > es * 2)) {
+ er -= es * 2 + 1;
+ her = 0;
+ ++es;
+ }
+ }
+ } else {
+ *q = 0;
+ if (++q[1] == 0) break;
+ if ((her == 0) | (er < es * 2)) {
+ her += ++er == 0;
+ } else {
+ er -= es * 2;
+ her = 0;
+ ++es;
+ }
+ }
+ } while (1);
+ printf ("| %u\nValues of at most two limbs, tested.\n", GMP_NUMB_BITS*2);
+ return 0;
+}
+
+int
+check_corner_cases (int justone, int quick)
+{
+ mp_limb_t es, er, s[1], r[2], q[2];
+ mp_size_t x;
+ unsigned bits;
+
+ es = 1;
+ if (quick) {
+ es <<= GMP_NUMB_BITS / 2 - 1;
+ printf ("Quick, skipping some... (%u)\n", GMP_NUMB_BITS - 2);
+ }
+ er = 0;
+ *q = es*es;
+ printf ("Corner cases tested, up to bits:\n");
+ do {
+ x = mpn_sqrtrem (s, r, q, 1);
+ if (UNLIKELY (x != (er != 0)) || UNLIKELY (*s != es)
+ || UNLIKELY ((x == 1) && (er != *r)))
+ STOP (something_wrong (er, 0, es));
+
+ if (er != 0) {
+ ++es;
+ if (UNLIKELY ((es & 0xffff) == 0))
+ SPINNER(1);
+ er = 0;
+ ++*q;
+ } else {
+ er = es * 2;
+ *q += er;
+ }
+ } while (*q != 0);
+ q[1] = 1;
+ SPINNER(2);
+ printf ("\nValues of a single limb, tested.\n");
+ if (justone) return 0;
+ if (quick) {
+ es <<= GMP_NUMB_BITS / 2 - 1;
+ q[1] <<= GMP_NUMB_BITS - 2;
+ printf ("Quick, skipping some... (%u)\n", GMP_NUMB_BITS - 2);
+ --es;
+ --q[1];
+ q[0] -= es*2+1;
+ }
+ printf ("Corner cases tested, up to bits:\n");
+ do {
+ x = mpn_sqrtrem (s, r, q, 2);
+ if (UNLIKELY (x != (er != 0)) || UNLIKELY (*s != es)
+ || UNLIKELY ((x == 1) && (er != *r)))
+ STOP (something_wrong (er, 0, es));
+
+ if (er != 0) {
+ ++es;
+ if (UNLIKELY ((es & 0xff) == 0))
+ SPINNER(2);
+ er = 0;
+ q[1] += (++*q == 0);
+ if (UNLIKELY (es == GMP_NUMB_HIGHBIT))
+ break;
+ } else {
+ er = es * 2;
+ add_ssaaaa (q[1], *q, q[1], *q, 0, er);
+ }
+ } while (1);
+ SPINNER(2);
+ printf ("\nValues with at most a limb for reminder, tested.\nCorner cases tested, up to bits:\n");
+ x = mpn_sqrtrem (s, r, q, 2);
+ if ((*s != es) || (x != 0))
+ STOP (something_wrong (0, 0, es));
+ q[1] += 1;
+ x = mpn_sqrtrem (s, r, q, 2);
+ if ((*s != es) || (x != 2) || (*r != 0) || (r[1] != 1))
+ STOP (something_wrong (0, 1, es));
+ ++es;
+ q[1] += (++*q == 0);
+ do {
+ x = mpn_sqrtrem (s, r, q, 2);
+ if (UNLIKELY (x != (er != 0) * 2) || UNLIKELY (*s != es)
+ || UNLIKELY ((x == 2) && ((er != *r) || (r[1] != 1))))
+ STOP (something_wrong (er, er != 0, es));
+
+ if (er != 0) {
+ ++es;
+ if (UNLIKELY (es == 0))
+ break;
+ if (UNLIKELY ((es & 0xff) == 0))
+ SPINNER(2);
+ er = 0;
+ q[1] += (++*q == 0);
+ } else {
+ er = es * 2;
+ add_ssaaaa (q[1], *q, q[1], *q, 1, er);
+ }
+ } while (1);
+ printf ("| %u\nValues of at most two limbs, tested.\n", GMP_NUMB_BITS*2);
+ return 0;
+}
+
+int
+main (int argc, char **argv)
+{
+ int mode = 0;
+ int justone = 0;
+ int quick = 0;
+
+ for (;argc > 1;--argc,++argv)
+ switch (*argv[1]) {
+ default:
+ fprintf (stderr, "usage: sqrtrem_1_2 [x|c|s] [1|2] [q]\n");
+ exit (1);
+ case 'x':
+ mode = 0;
+ break;
+ case 'c':
+ mode = 1;
+ break;
+ case 's':
+ mode = 2;
+ break;
+ case 'q':
+ quick = 1;
+ break;
+ case '1':
+ justone = 1;
+ break;
+ case '2':
+ justone = 0;
+ }
+
+ switch (mode) {
+ default:
+ return check_all_values (justone, quick);
+ case 1:
+ return check_corner_cases (justone, quick);
+ case 2:
+ return check_some_values (justone, quick);
+ }
+}