//------------------------------------------------------------------------------
// Name:
//------------------------------------------------------------------------------
knumber_base *knumber_float::atanh() {
#ifdef KNUMBER_USE_MPFR
mpfr_t mpfr;
mpfr_init_set_f(mpfr, mpf_, rounding_mode);
mpfr_atanh(mpfr, mpfr, rounding_mode);
mpfr_get_f(mpf_, mpfr, rounding_mode);
mpfr_clear(mpfr);
return this;
#else
const double x = mpf_get_d(mpf_);
return execute_libc_func< ::atanh>(x);
#endif
}
//------------------------------------------------------------------------------
// Name:
//------------------------------------------------------------------------------
knumber_base *knumber_float::exp() {
#ifdef KNUMBER_USE_MPFR
mpfr_t mpfr;
mpfr_init_set_f(mpfr, mpf_, rounding_mode);
mpfr_exp(mpfr, mpfr, rounding_mode);
mpfr_get_f(mpf_, mpfr, rounding_mode);
mpfr_clear(mpfr);
return this;
#else
const double x = mpf_get_d(mpf_);
if(isinf(x)) {
delete this;
return new knumber_error(knumber_error::ERROR_POS_INFINITY);
} else {
return execute_libc_func< ::exp>(x);
}
#endif
}
//------------------------------------------------------------------------------
// Name:
//------------------------------------------------------------------------------
knumber_base *knumber_float::sqrt() {
if(sign() < 0) {
delete this;
return new knumber_error(knumber_error::ERROR_UNDEFINED);
}
#ifdef KNUMBER_USE_MPFR
mpfr_t mpfr;
mpfr_init_set_f(mpfr, mpf_, rounding_mode);
mpfr_sqrt(mpfr, mpfr, rounding_mode);
mpfr_get_f(mpf_, mpfr, rounding_mode);
mpfr_clear(mpfr);
#else
mpf_sqrt(mpf_, mpf_);
#endif
return this;
}
//------------------------------------------------------------------------------
// Name:
//------------------------------------------------------------------------------
knumber_base *knumber_float::cbrt() {
#ifdef KNUMBER_USE_MPFR
mpfr_t mpfr;
mpfr_init_set_f(mpfr, mpf_, rounding_mode);
mpfr_cbrt(mpfr, mpfr, rounding_mode);
mpfr_get_f(mpf_, mpfr, rounding_mode);
mpfr_clear(mpfr);
#else
const double x = mpf_get_d(mpf_);
if(isinf(x)) {
delete this;
return new knumber_error(knumber_error::ERROR_POS_INFINITY);
} else {
#ifdef Q_CC_MSVC
return execute_libc_func< ::pow>(x, 1.0 / 3.0);
#else
return execute_libc_func< ::cbrt>(x);
#endif
}
#endif
return this;
}
int
main (void)
{
mpfr_t x, u;
mpf_t y, z;
mpfr_exp_t emax;
unsigned long k, pr;
int r, inexact;
tests_start_mpfr ();
mpf_init (y);
mpf_init (z);
mpf_set_d (y, 0.0);
/* check prototype of mpfr_init_set_f */
mpfr_init_set_f (x, y, MPFR_RNDN);
mpfr_set_prec (x, 100);
mpfr_set_f (x, y, MPFR_RNDN);
mpf_urandomb (y, RANDS, 10 * GMP_NUMB_BITS);
mpfr_set_f (x, y, RND_RAND ());
/* bug found by Jean-Pierre Merlet */
mpfr_set_prec (x, 256);
mpf_set_prec (y, 256);
mpfr_init2 (u, 256);
mpfr_set_str (u,
"7.f10872b020c49ba5e353f7ced916872b020c49ba5e353f7ced916872b020c498@2",
16, MPFR_RNDN);
mpf_set_str (y, "2033033E-3", 10); /* avoid 2033.033 which is
locale-sensitive */
mpfr_set_f (x, y, MPFR_RNDN);
if (mpfr_cmp (x, u))
{
printf ("mpfr_set_f failed for y=2033033E-3\n");
exit (1);
}
mpf_set_str (y, "-2033033E-3", 10); /* avoid -2033.033 which is
locale-sensitive */
mpfr_set_f (x, y, MPFR_RNDN);
mpfr_neg (u, u, MPFR_RNDN);
if (mpfr_cmp (x, u))
{
printf ("mpfr_set_f failed for y=-2033033E-3\n");
exit (1);
}
mpf_set_prec (y, 300);
mpf_set_str (y, "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111", -2);
mpf_mul_2exp (y, y, 600);
mpfr_set_prec (x, 300);
mpfr_set_f (x, y, MPFR_RNDN);
if (mpfr_check (x) == 0)
{
printf ("Error in mpfr_set_f: corrupted result\n");
mpfr_dump (x);
exit (1);
}
MPFR_ASSERTN(mpfr_cmp_ui_2exp (x, 1, 901) == 0);
/* random values */
for (k = 1; k <= 1000; k++)
{
pr = 2 + (randlimb () & 255);
mpf_set_prec (z, pr);
mpf_urandomb (z, RANDS, z->_mp_prec);
mpfr_set_prec (u, ((pr / GMP_NUMB_BITS + 1) * GMP_NUMB_BITS));
mpfr_set_f (u, z, MPFR_RNDN);
if (mpfr_cmp_f (u , z) != 0)
{
printf ("Error in mpfr_set_f:\n");
printf ("mpf (precision=%lu)=", pr);
mpf_out_str (stdout, 16, 0, z);
printf ("\nmpfr(precision=%lu)=",
((pr / GMP_NUMB_BITS + 1) * GMP_NUMB_BITS));
mpfr_out_str (stdout, 16, 0, u, MPFR_RNDN);
putchar ('\n');
exit (1);
}
mpfr_set_prec (x, pr);
mpfr_set_f (x, z, MPFR_RNDN);
mpfr_sub (u, u, x, MPFR_RNDN);
mpfr_abs (u, u, MPFR_RNDN);
if (mpfr_cmp_ui_2exp (u, 1, -pr - 1) > 0)
{
printf ("Error in mpfr_set_f: precision=%lu\n", pr);
printf ("mpf =");
mpf_out_str (stdout, 16, 0, z);
printf ("\nmpfr=");
mpfr_out_str (stdout, 16, 0, x, MPFR_RNDN);
putchar ('\n');
exit (1);
}
}
/* Check for +0 */
mpfr_set_prec (x, 53);
mpf_set_prec (y, 53);
mpf_set_ui (y, 0);
for (r = 0 ; r < MPFR_RND_MAX ; r++)
{
int i;
for (i = -1; i <= 1; i++)
{
if (i)
mpfr_set_si (x, i, MPFR_RNDN);
inexact = mpfr_set_f (x, y, (mpfr_rnd_t) r);
if (!MPFR_IS_ZERO(x) || !MPFR_IS_POS(x) || inexact)
{
printf ("mpfr_set_f(x,0) failed for %s, i = %d\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r), i);
exit (1);
}
}
}
/* coverage test */
mpf_set_prec (y, 2);
mpfr_set_prec (x, 3 * mp_bits_per_limb);
mpf_set_ui (y, 1);
for (r = 0; r < mp_bits_per_limb; r++)
{
mpfr_urandomb (x, RANDS); /* to fill low limbs with random data */
inexact = mpfr_set_f (x, y, MPFR_RNDN);
MPFR_ASSERTN(inexact == 0 && mpfr_cmp_ui_2exp (x, 1, r) == 0);
mpf_mul_2exp (y, y, 1);
}
mpf_set_ui (y, 1);
mpf_mul_2exp (y, y, ULONG_MAX);
mpfr_set_f (x, y, MPFR_RNDN);
mpfr_set_ui (u, 1, MPFR_RNDN);
mpfr_mul_2ui (u, u, ULONG_MAX, MPFR_RNDN);
if (!mpfr_equal_p (x, u))
{
printf ("Error: mpfr_set_f (x, y, MPFR_RNDN) for y = 2^ULONG_MAX\n");
exit (1);
}
emax = mpfr_get_emax ();
/* For mpf_mul_2exp, emax must fit in an unsigned long! */
if (emax >= 0 && emax <= ULONG_MAX)
{
mpf_set_ui (y, 1);
mpf_mul_2exp (y, y, emax);
mpfr_set_f (x, y, MPFR_RNDN);
mpfr_set_ui_2exp (u, 1, emax, MPFR_RNDN);
if (!mpfr_equal_p (x, u))
{
printf ("Error: mpfr_set_f (x, y, MPFR_RNDN) for y = 2^emax\n");
exit (1);
}
}
/* For mpf_mul_2exp, emax - 1 must fit in an unsigned long! */
if (emax >= 1 && emax - 1 <= ULONG_MAX)
{
mpf_set_ui (y, 1);
mpf_mul_2exp (y, y, emax - 1);
mpfr_set_f (x, y, MPFR_RNDN);
mpfr_set_ui_2exp (u, 1, emax - 1, MPFR_RNDN);
if (!mpfr_equal_p (x, u))
{
printf ("Error: mpfr_set_f (x, y, MPFR_RNDN) for y = 2^(emax-1)\n");
exit (1);
}
}
mpfr_clear (x);
mpfr_clear (u);
mpf_clear (y);
mpf_clear (z);
tests_end_mpfr ();
return 0;
}