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authorDuncan Wilkie <antigravityd@gmail.com>2023-11-18 06:11:09 -0600
committerDuncan Wilkie <antigravityd@gmail.com>2023-11-18 06:11:09 -0600
commit11da511c784eca003deb90c23570f0873954e0de (patch)
treee14fdd3d5d6345956d67e79ae771d0633d28362b /gmp-6.3.0/tests/mpz/t-div_2exp.c
Initial commit.
Diffstat (limited to 'gmp-6.3.0/tests/mpz/t-div_2exp.c')
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diff --git a/gmp-6.3.0/tests/mpz/t-div_2exp.c b/gmp-6.3.0/tests/mpz/t-div_2exp.c
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+++ b/gmp-6.3.0/tests/mpz/t-div_2exp.c
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+/* Test mpz_[cft]div_[qr]_2exp.
+
+Copyright 2001 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"
+
+
+/* If the remainder is in the correct range and q*d+r is correct, then q
+ must have rounded correctly. */
+
+void
+check_one (mpz_srcptr a, unsigned long d)
+{
+ mpz_t q, r, p, d2exp;
+ int inplace;
+
+ mpz_init (d2exp);
+ mpz_init (q);
+ mpz_init (r);
+ mpz_init (p);
+
+ mpz_set_ui (d2exp, 1L);
+ mpz_mul_2exp (d2exp, d2exp, d);
+
+#define INPLACE(fun,dst,src,d) \
+ if (inplace) \
+ { \
+ mpz_set (dst, src); \
+ fun (dst, dst, d); \
+ } \
+ else \
+ fun (dst, src, d);
+
+ for (inplace = 0; inplace <= 1; inplace++)
+ {
+ INPLACE (mpz_fdiv_q_2exp, q, a, d);
+ INPLACE (mpz_fdiv_r_2exp, r, a, d);
+
+ mpz_mul_2exp (p, q, d);
+ mpz_add (p, p, r);
+ if (mpz_sgn (r) < 0 || mpz_cmp (r, d2exp) >= 0)
+ {
+ printf ("mpz_fdiv_r_2exp result out of range\n");
+ goto error;
+ }
+ if (mpz_cmp (p, a) != 0)
+ {
+ printf ("mpz_fdiv_[qr]_2exp doesn't multiply back\n");
+ goto error;
+ }
+
+
+ INPLACE (mpz_cdiv_q_2exp, q, a, d);
+ INPLACE (mpz_cdiv_r_2exp, r, a, d);
+
+ mpz_mul_2exp (p, q, d);
+ mpz_add (p, p, r);
+ if (mpz_sgn (r) > 0 || mpz_cmpabs (r, d2exp) >= 0)
+ {
+ printf ("mpz_cdiv_r_2exp result out of range\n");
+ goto error;
+ }
+ if (mpz_cmp (p, a) != 0)
+ {
+ printf ("mpz_cdiv_[qr]_2exp doesn't multiply back\n");
+ goto error;
+ }
+
+
+ INPLACE (mpz_tdiv_q_2exp, q, a, d);
+ INPLACE (mpz_tdiv_r_2exp, r, a, d);
+
+ mpz_mul_2exp (p, q, d);
+ mpz_add (p, p, r);
+ if (mpz_sgn (r) != 0 && mpz_sgn (r) != mpz_sgn (a))
+ {
+ printf ("mpz_tdiv_r_2exp result wrong sign\n");
+ goto error;
+ }
+ if (mpz_cmpabs (r, d2exp) >= 0)
+ {
+ printf ("mpz_tdiv_r_2exp result out of range\n");
+ goto error;
+ }
+ if (mpz_cmp (p, a) != 0)
+ {
+ printf ("mpz_tdiv_[qr]_2exp doesn't multiply back\n");
+ goto error;
+ }
+ }
+
+ mpz_clear (d2exp);
+ mpz_clear (q);
+ mpz_clear (r);
+ mpz_clear (p);
+ return;
+
+
+ error:
+ mpz_trace ("a", a);
+ printf ("d=%lu\n", d);
+ mpz_trace ("q", q);
+ mpz_trace ("r", r);
+ mpz_trace ("p", p);
+
+ mp_trace_base = -16;
+ mpz_trace ("a", a);
+ printf ("d=0x%lX\n", d);
+ mpz_trace ("q", q);
+ mpz_trace ("r", r);
+ mpz_trace ("p", p);
+
+ abort ();
+}
+
+
+void
+check_all (mpz_ptr a, unsigned long d)
+{
+ check_one (a, d);
+ mpz_neg (a, a);
+ check_one (a, d);
+}
+
+
+void
+check_various (void)
+{
+ static const unsigned long table[] = {
+ 0, 1, 2, 3, 4, 5,
+ GMP_NUMB_BITS-1, GMP_NUMB_BITS, GMP_NUMB_BITS+1,
+ 2*GMP_NUMB_BITS-1, 2*GMP_NUMB_BITS, 2*GMP_NUMB_BITS+1,
+ 3*GMP_NUMB_BITS-1, 3*GMP_NUMB_BITS, 3*GMP_NUMB_BITS+1,
+ 4*GMP_NUMB_BITS-1, 4*GMP_NUMB_BITS, 4*GMP_NUMB_BITS+1
+ };
+
+ int i, j;
+ unsigned long n, d;
+ mpz_t a;
+
+ mpz_init (a);
+
+ /* a==0, and various d */
+ mpz_set_ui (a, 0L);
+ for (i = 0; i < numberof (table); i++)
+ check_one (a, table[i]);
+
+ /* a==2^n, and various d */
+ for (i = 0; i < numberof (table); i++)
+ {
+ n = table[i];
+ mpz_set_ui (a, 1L);
+ mpz_mul_2exp (a, a, n);
+
+ for (j = 0; j < numberof (table); j++)
+ {
+ d = table[j];
+ check_all (a, d);
+ }
+ }
+
+ mpz_clear (a);
+}
+
+
+void
+check_random (int argc, char *argv[])
+{
+ gmp_randstate_ptr rands = RANDS;
+ int reps = 100;
+ mpz_t a;
+ unsigned long d;
+ int i;
+
+ if (argc == 2)
+ reps = atoi (argv[1]);
+
+ mpz_init (a);
+
+ for (i = 0; i < reps; i++)
+ {
+ /* exponentially within 2 to 257 bits */
+ mpz_erandomb (a, rands, urandom () % 8 + 2);
+
+ d = urandom () % 256;
+
+ check_all (a, d);
+ }
+
+ mpz_clear (a);
+}
+
+
+int
+main (int argc, char *argv[])
+{
+ tests_start ();
+
+ check_various ();
+ check_random (argc, argv);
+
+ tests_end ();
+ exit (0);
+}