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/* Test mpz_powm, mpz_mul, mpz_mod, mpz_mod_ui, mpz_div_ui.
Copyright 1991, 1993, 1994, 1996, 1999-2001, 2009, 2012, 2019 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 <string.h>
#include "gmp-impl.h"
#include "tests.h"
void debug_mp (mpz_t, int);
#define SIZEM 13
/* Check that all sizes up to just above MUL_TOOM22_THRESHOLD have been tested
a few times. FIXME: If SIZEM is set too low, this will never happen. */
int
allsizes_seen (unsigned int *allsizes)
{
mp_size_t i;
for (i = 1; i < MUL_TOOM22_THRESHOLD + 4; i++)
if (allsizes[i] < 4)
return 0;
return 1;
}
void
small_2pow (unsigned long reps)
{
mpz_t du, exp, mod;
mpz_t r1;
unsigned long m, e, r;
mp_limb_t b0 = 2;
mpz_roinit_n (du, &b0, 1);
mpz_init (exp);
mpz_init (mod);
mpz_init (r1);
for (m = 3; m * m < reps; m += 2)
{
mpz_set_ui (mod, m);
r = 1;
for (e = 0; e < m; e += 1)
{
mpz_set_ui (exp, e);
mpz_powm (r1, du, exp, mod);
MPZ_CHECK_FORMAT (r1);
if (mpz_cmp_ui (r1, r) != 0)
{
fprintf (stderr, "\nIncorrect result for operands:\n");
debug_mp (du, -16);
debug_mp (exp, -16);
debug_mp (mod, -16);
fprintf (stderr, "mpz_powm result:\n");
debug_mp (r1, -16);
fprintf (stderr, "Should be 2 ^ 0x%lx = 0x%lx (mod 0x%lx)\n", e, r, m);
abort ();
}
if (r > (m >> 1))
r = (r << 1) - m;
else
r = r << 1;
}
}
mpz_clear (exp);
mpz_clear (mod);
mpz_clear (r1);
}
int
main (int argc, char **argv)
{
mpz_t base, exp, mod;
mpz_t r1, r2, t1, exp2, base2;
mp_size_t base_size, exp_size, mod_size;
int i;
int reps = 1000;
gmp_randstate_ptr rands;
mpz_t bs;
unsigned long bsi, size_range;
unsigned int allsizes[1 << (SIZEM + 2 - 1)];
tests_start ();
TESTS_REPS (reps, argv, argc);
small_2pow ((unsigned int) reps);
rands = RANDS;
mpz_init (bs);
mpz_init (base);
mpz_init (exp);
mpz_init (mod);
mpz_init (r1);
mpz_init (r2);
mpz_init (t1);
mpz_init (exp2);
mpz_init (base2);
memset (allsizes, 0, (1 << (SIZEM + 2 - 1)) * sizeof (int));
reps += reps >> 3;
for (i = 0; i < reps || ! allsizes_seen (allsizes); i++)
{
mpz_urandomb (bs, rands, 32);
size_range = mpz_get_ui (bs) % SIZEM + 2;
if ((i & 7) == 0)
{
mpz_set_ui (exp, 1);
do /* Loop until mathematically well-defined. */
{
mpz_urandomb (bs, rands, size_range / 2 + 2);
base_size = mpz_get_ui (bs);
mpz_rrandomb (base, rands, base_size);
}
while (mpz_cmp_ui (base, 0) == 0);
mpz_urandomb (bs, rands, size_range / 2);
mod_size = mpz_get_ui (bs);
mod_size = MIN (mod_size, base_size);
mpz_rrandomb (mod, rands, mod_size);
mpz_urandomb (bs, rands, size_range);
mod_size = mpz_get_ui (bs) + base_size + 2;
if ((i & 8) == 0)
mod_size += GMP_NUMB_BITS - mod_size % GMP_NUMB_BITS;
mpz_setbit (mod, mod_size);
mpz_sub (base, base, mod);
}
else
{
do /* Loop until mathematically well-defined. */
{
if ((i & 7) == 4)
mpz_set_ui (base, 2);
else
{
mpz_urandomb (bs, rands, size_range);
base_size = mpz_get_ui (bs);
mpz_rrandomb (base, rands, base_size);
}
mpz_urandomb (bs, rands, 7L);
exp_size = mpz_get_ui (bs);
mpz_rrandomb (exp, rands, exp_size);
}
while (mpz_cmp_ui (base, 0) == 0 && mpz_cmp_ui (exp, 0) == 0);
do
{
mpz_urandomb (bs, rands, size_range);
mod_size = mpz_get_ui (bs);
mpz_rrandomb (mod, rands, mod_size);
}
while (mpz_cmp_ui (mod, 0) == 0);
allsizes[SIZ(mod)] += 1;
mpz_urandomb (bs, rands, 2);
bsi = mpz_get_ui (bs);
if ((bsi & 1) != 0)
mpz_neg (base, base);
/* printf ("%ld %ld %ld\n", SIZ (base), SIZ (exp), SIZ (mod)); */
}
mpz_set_ui (r2, 1);
mpz_mod (base2, base, mod);
mpz_set (exp2, exp);
mpz_mod (r2, r2, mod);
for (;;)
{
if (mpz_tstbit (exp2, 0))
{
mpz_mul (r2, r2, base2);
mpz_mod (r2, r2, mod);
}
if (mpz_cmp_ui (exp2, 1) <= 0)
break;
mpz_mul (base2, base2, base2);
mpz_mod (base2, base2, mod);
mpz_tdiv_q_2exp (exp2, exp2, 1);
}
mpz_powm (r1, base, exp, mod);
MPZ_CHECK_FORMAT (r1);
if (mpz_cmp (r1, r2) != 0)
{
fprintf (stderr, "\nIncorrect results in test %d for operands:\n", i);
debug_mp (base, -16);
debug_mp (exp, -16);
debug_mp (mod, -16);
fprintf (stderr, "mpz_powm result:\n");
debug_mp (r1, -16);
fprintf (stderr, "reference result:\n");
debug_mp (r2, -16);
abort ();
}
if (mpz_tdiv_ui (mod, 2) == 0)
continue;
mpz_powm_sec (r1, base, exp, mod);
MPZ_CHECK_FORMAT (r1);
if (mpz_cmp (r1, r2) != 0)
{
fprintf (stderr, "\nIncorrect results in test %d for operands:\n", i);
debug_mp (base, -16);
debug_mp (exp, -16);
debug_mp (mod, -16);
fprintf (stderr, "mpz_powm_sec result:\n");
debug_mp (r1, -16);
fprintf (stderr, "reference result:\n");
debug_mp (r2, -16);
abort ();
}
}
mpz_clear (bs);
mpz_clear (base);
mpz_clear (exp);
mpz_clear (mod);
mpz_clear (r1);
mpz_clear (r2);
mpz_clear (t1);
mpz_clear (exp2);
mpz_clear (base2);
tests_end ();
exit (0);
}
void
debug_mp (mpz_t x, int base)
{
mpz_out_str (stderr, base, x); fputc ('\n', stderr);
}
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