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/* Test mpq_mul_2exp and mpq_div_2exp.
Copyright 2000, 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"
struct pair_t {
const char *num;
const char *den;
};
void
check_random ()
{
gmp_randstate_ptr rands;
mpz_t bs;
unsigned long arg_size, size_range;
mpq_t q, r;
int i;
mp_bitcnt_t shift;
int reps = 10000;
rands = RANDS;
mpz_init (bs);
mpq_init (q);
mpq_init (r);
for (i = 0; i < reps; i++)
{
mpz_urandomb (bs, rands, 32);
size_range = mpz_get_ui (bs) % 11 + 2; /* 0..4096 bit operands */
mpz_urandomb (bs, rands, size_range);
arg_size = mpz_get_ui (bs);
mpz_rrandomb (mpq_numref (q), rands, arg_size);
do
{
mpz_urandomb (bs, rands, size_range);
arg_size = mpz_get_ui (bs);
mpz_rrandomb (mpq_denref (q), rands, arg_size);
}
while (mpz_sgn (mpq_denref (q)) == 0);
/* We now have a random rational in q, albeit an unnormalised one. The
lack of normalisation should not matter here, so let's save the time a
gcd would require. */
mpz_urandomb (bs, rands, 32);
shift = mpz_get_ui (bs) % 4096;
mpq_mul_2exp (r, q, shift);
if (mpq_cmp (r, q) < 0)
{
printf ("mpq_mul_2exp wrong on random\n");
abort ();
}
mpq_div_2exp (r, r, shift);
if (mpq_cmp (r, q) != 0)
{
printf ("mpq_mul_2exp or mpq_div_2exp wrong on random\n");
abort ();
}
}
mpq_clear (q);
mpq_clear (r);
mpz_clear (bs);
}
int
main (int argc, char **argv)
{
static const struct {
struct pair_t left;
unsigned long n;
struct pair_t right;
} data[] = {
{ {"0","1"}, 0, {"0","1"} },
{ {"0","1"}, 1, {"0","1"} },
{ {"0","1"}, 2, {"0","1"} },
{ {"1","1"}, 0, {"1","1"} },
{ {"1","1"}, 1, {"2","1"} },
{ {"1","1"}, 2, {"4","1"} },
{ {"1","1"}, 3, {"8","1"} },
{ {"1","1"}, 31, {"0x80000000","1"} },
{ {"1","1"}, 32, {"0x100000000","1"} },
{ {"1","1"}, 33, {"0x200000000","1"} },
{ {"1","1"}, 63, {"0x8000000000000000","1"} },
{ {"1","1"}, 64, {"0x10000000000000000","1"} },
{ {"1","1"}, 65, {"0x20000000000000000","1"} },
{ {"1","1"}, 95, {"0x800000000000000000000000","1"} },
{ {"1","1"}, 96, {"0x1000000000000000000000000","1"} },
{ {"1","1"}, 97, {"0x2000000000000000000000000","1"} },
{ {"1","1"}, 127, {"0x80000000000000000000000000000000","1"} },
{ {"1","1"}, 128, {"0x100000000000000000000000000000000","1"} },
{ {"1","1"}, 129, {"0x200000000000000000000000000000000","1"} },
{ {"1","2"}, 31, {"0x40000000","1"} },
{ {"1","2"}, 32, {"0x80000000","1"} },
{ {"1","2"}, 33, {"0x100000000","1"} },
{ {"1","2"}, 63, {"0x4000000000000000","1"} },
{ {"1","2"}, 64, {"0x8000000000000000","1"} },
{ {"1","2"}, 65, {"0x10000000000000000","1"} },
{ {"1","2"}, 95, {"0x400000000000000000000000","1"} },
{ {"1","2"}, 96, {"0x800000000000000000000000","1"} },
{ {"1","2"}, 97, {"0x1000000000000000000000000","1"} },
{ {"1","2"}, 127, {"0x40000000000000000000000000000000","1"} },
{ {"1","2"}, 128, {"0x80000000000000000000000000000000","1"} },
{ {"1","2"}, 129, {"0x100000000000000000000000000000000","1"} },
{ {"1","0x80000000"}, 30, {"1","2"} },
{ {"1","0x80000000"}, 31, {"1","1"} },
{ {"1","0x80000000"}, 32, {"2","1"} },
{ {"1","0x80000000"}, 33, {"4","1"} },
{ {"1","0x80000000"}, 62, {"0x80000000","1"} },
{ {"1","0x80000000"}, 63, {"0x100000000","1"} },
{ {"1","0x80000000"}, 64, {"0x200000000","1"} },
{ {"1","0x80000000"}, 94, {"0x8000000000000000","1"} },
{ {"1","0x80000000"}, 95, {"0x10000000000000000","1"} },
{ {"1","0x80000000"}, 96, {"0x20000000000000000","1"} },
{ {"1","0x80000000"}, 126, {"0x800000000000000000000000","1"} },
{ {"1","0x80000000"}, 127, {"0x1000000000000000000000000","1"} },
{ {"1","0x80000000"}, 128, {"0x2000000000000000000000000","1"} },
{ {"1","0x100000000"}, 1, {"1","0x80000000"} },
{ {"1","0x100000000"}, 2, {"1","0x40000000"} },
{ {"1","0x100000000"}, 3, {"1","0x20000000"} },
{ {"1","0x10000000000000000"}, 1, {"1","0x8000000000000000"} },
{ {"1","0x10000000000000000"}, 2, {"1","0x4000000000000000"} },
{ {"1","0x10000000000000000"}, 3, {"1","0x2000000000000000"} },
};
void (*fun) (mpq_ptr, mpq_srcptr, unsigned long);
const struct pair_t *p_start, *p_want;
const char *name;
mpq_t sep, got, want;
mpq_ptr q;
int i, muldiv, sign, overlap;
tests_start ();
mpq_init (sep);
mpq_init (got);
mpq_init (want);
for (i = 0; i < numberof (data); i++)
{
for (muldiv = 0; muldiv < 2; muldiv++)
{
if (muldiv == 0)
{
fun = mpq_mul_2exp;
name = "mpq_mul_2exp";
p_start = &data[i].left;
p_want = &data[i].right;
}
else
{
fun = mpq_div_2exp;
name = "mpq_div_2exp";
p_start = &data[i].right;
p_want = &data[i].left;
}
for (sign = 0; sign <= 1; sign++)
{
mpz_set_str_or_abort (mpq_numref(want), p_want->num, 0);
mpz_set_str_or_abort (mpq_denref(want), p_want->den, 0);
if (sign)
mpq_neg (want, want);
for (overlap = 0; overlap <= 1; overlap++)
{
q = overlap ? got : sep;
/* initial garbage in "got" */
mpq_set_ui (got, 123L, 456L);
mpz_set_str_or_abort (mpq_numref(q), p_start->num, 0);
mpz_set_str_or_abort (mpq_denref(q), p_start->den, 0);
if (sign)
mpq_neg (q, q);
(*fun) (got, q, data[i].n);
MPQ_CHECK_FORMAT (got);
if (! mpq_equal (got, want))
{
printf ("%s wrong at data[%d], sign %d, overlap %d\n",
name, i, sign, overlap);
printf (" num \"%s\"\n", p_start->num);
printf (" den \"%s\"\n", p_start->den);
printf (" n %lu\n", data[i].n);
printf (" got ");
mpq_out_str (stdout, 16, got);
printf (" (hex)\n");
printf (" want ");
mpq_out_str (stdout, 16, want);
printf (" (hex)\n");
abort ();
}
}
}
}
}
check_random ();
mpq_clear (sep);
mpq_clear (got);
mpq_clear (want);
tests_end ();
exit (0);
}
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