SeedValue seed_mpfr_rint_floor (SeedContext ctx,
SeedObject function,
SeedObject this_object,
gsize argument_count,
const SeedValue args[],
SeedException *exception)
{
mpfr_rnd_t rnd;
mpfr_ptr rop, op;
gint ret;
CHECK_ARG_COUNT("mpfr.rint_floor", 2);
rop = seed_object_get_private(this_object);
rnd = seed_value_to_mpfr_rnd_t(ctx, args[1], exception);
if ( seed_value_is_object_of_class(ctx, args[0], mpfr_class) )
{
op = seed_object_get_private(args[0]);
}
else
{
TYPE_EXCEPTION("mpfr.rint_floor", "mpfr_t");
}
ret = mpfr_rint_floor(rop, op, rnd);
return seed_value_from_int(ctx, ret, exception);
}
static unsigned long
eval (mpfr_t x, mpfr_t y, mpfr_t z, mpfr_t t, mpfr_rnd_t rnd)
{
mpfr_div (t, x, y, rnd); /* the division x/y in precision p */
mpfr_set (z, t, rnd); /* the rounding to the precision n */
mpfr_rint_floor (z, z, rnd);
return mpfr_get_ui (z, rnd);
}
int
main (int argc, char *argv[])
{
mp_size_t s;
mpz_t z;
mpfr_prec_t p;
mpfr_t x, y, t, u, v;
int r;
int inexact, sign_t;
tests_start_mpfr ();
mpfr_init (x);
mpfr_init (y);
mpz_init (z);
mpfr_init (t);
mpfr_init (u);
mpfr_init (v);
mpz_set_ui (z, 1);
for (s = 2; s < 100; s++)
{
/* z has exactly s bits */
mpz_mul_2exp (z, z, 1);
if (randlimb () % 2)
mpz_add_ui (z, z, 1);
mpfr_set_prec (x, s);
mpfr_set_prec (t, s);
mpfr_set_prec (u, s);
if (mpfr_set_z (x, z, MPFR_RNDN))
{
printf ("Error: mpfr_set_z should be exact (s = %u)\n",
(unsigned int) s);
exit (1);
}
if (randlimb () % 2)
mpfr_neg (x, x, MPFR_RNDN);
if (randlimb () % 2)
mpfr_div_2ui (x, x, randlimb () % s, MPFR_RNDN);
for (p = 2; p < 100; p++)
{
int trint;
mpfr_set_prec (y, p);
mpfr_set_prec (v, p);
for (r = 0; r < MPFR_RND_MAX ; r++)
for (trint = 0; trint < 3; trint++)
{
if (trint == 2)
inexact = mpfr_rint (y, x, (mpfr_rnd_t) r);
else if (r == MPFR_RNDN)
inexact = mpfr_round (y, x);
else if (r == MPFR_RNDZ)
inexact = (trint ? mpfr_trunc (y, x) :
mpfr_rint_trunc (y, x, MPFR_RNDZ));
else if (r == MPFR_RNDU)
inexact = (trint ? mpfr_ceil (y, x) :
mpfr_rint_ceil (y, x, MPFR_RNDU));
else /* r = MPFR_RNDD */
inexact = (trint ? mpfr_floor (y, x) :
mpfr_rint_floor (y, x, MPFR_RNDD));
if (mpfr_sub (t, y, x, MPFR_RNDN))
err ("subtraction 1 should be exact",
s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
sign_t = mpfr_cmp_ui (t, 0);
if (trint != 0 &&
(((inexact == 0) && (sign_t != 0)) ||
((inexact < 0) && (sign_t >= 0)) ||
((inexact > 0) && (sign_t <= 0))))
err ("wrong inexact flag", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
if (inexact == 0)
continue; /* end of the test for exact results */
if (((r == MPFR_RNDD || (r == MPFR_RNDZ && MPFR_SIGN (x) > 0))
&& inexact > 0) ||
((r == MPFR_RNDU || (r == MPFR_RNDZ && MPFR_SIGN (x) < 0))
&& inexact < 0))
err ("wrong rounding direction",
s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
if (inexact < 0)
{
mpfr_add_ui (v, y, 1, MPFR_RNDU);
if (mpfr_cmp (v, x) <= 0)
err ("representable integer between x and its "
"rounded value", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
}
else
{
mpfr_sub_ui (v, y, 1, MPFR_RNDD);
if (mpfr_cmp (v, x) >= 0)
err ("representable integer between x and its "
"rounded value", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
}
if (r == MPFR_RNDN)
{
int cmp;
if (mpfr_sub (u, v, x, MPFR_RNDN))
err ("subtraction 2 should be exact",
s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
cmp = mpfr_cmp_abs (t, u);
if (cmp > 0)
err ("faithful rounding, but not the nearest integer",
s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
if (cmp < 0)
continue;
/* |t| = |u|: x is the middle of two consecutive
representable integers. */
if (trint == 2)
{
/* halfway case for mpfr_rint in MPFR_RNDN rounding
mode: round to an even integer or significand. */
mpfr_div_2ui (y, y, 1, MPFR_RNDZ);
if (!mpfr_integer_p (y))
err ("halfway case for mpfr_rint, result isn't an"
" even integer", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
/* If floor(x) and ceil(x) aren't both representable
integers, the significand must be even. */
mpfr_sub (v, v, y, MPFR_RNDN);
mpfr_abs (v, v, MPFR_RNDN);
if (mpfr_cmp_ui (v, 1) != 0)
{
mpfr_div_2si (y, y, MPFR_EXP (y) - MPFR_PREC (y)
+ 1, MPFR_RNDN);
if (!mpfr_integer_p (y))
err ("halfway case for mpfr_rint, significand isn't"
" even", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
}
}
else
{ /* halfway case for mpfr_round: x must have been
rounded away from zero. */
if ((MPFR_SIGN (x) > 0 && inexact < 0) ||
(MPFR_SIGN (x) < 0 && inexact > 0))
err ("halfway case for mpfr_round, bad rounding"
" direction", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
}
}
}
}
}
mpfr_clear (x);
mpfr_clear (y);
mpz_clear (z);
mpfr_clear (t);
mpfr_clear (u);
mpfr_clear (v);
special ();
coverage_03032011 ();
#if __MPFR_STDC (199901L)
if (argc > 1 && strcmp (argv[1], "-s") == 0)
test_against_libc ();
#endif
tests_end_mpfr ();
return 0;
}