static void
special (void)
{
mpfr_t x, y, z;
mpfr_init (x);
mpfr_init (y);
mpfr_init (z);
mpfr_set_nan (x);
mpfr_hypot (z, x, y, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (z));
mpfr_set_inf (x, 1);
mpfr_set_inf (y, -1);
mpfr_hypot (z, x, y, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0);
mpfr_set_inf (x, -1);
mpfr_set_nan (y);
mpfr_hypot (z, x, y, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0);
mpfr_set_nan (x);
mpfr_set_inf (y, -1);
mpfr_hypot (z, x, y, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0);
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
}
void
ovm_dd_hypot(oregister_t *l, oregister_t *r)
{
switch (r->t) {
case t_void:
l->t = t_float;
l->v.d = cabs(l->v.dd);
break;
case t_word:
l->t = t_float;
l->v.d = hypot(hypot(real(l->v.dd), imag(l->v.dd)), r->v.w);
break;
case t_float:
l->t = t_float;
l->v.d = hypot(hypot(real(l->v.dd), imag(l->v.dd)), r->v.d);
break;
case t_mpz:
l->t = t_float;
l->v.d = hypot(hypot(real(l->v.dd), imag(l->v.dd)),
mpz_get_d(ozr(r)));
break;
case t_rat:
l->t = t_float;
l->v.d = hypot(hypot(real(l->v.dd), imag(l->v.dd)),
rat_get_d(r->v.r));
break;
case t_mpq:
l->t = t_float;
l->v.d = hypot(hypot(real(l->v.dd), imag(l->v.dd)),
mpq_get_d(oqr(r)));
break;
case t_mpr:
mpc_set_fr(occ(r), orr(r), thr_rndc);
goto mpc;
case t_cdd:
cdd:
l->t = t_float;
l->v.d = hypot(hypot(real(l->v.dd), imag(l->v.dd)),
hypot(real(r->v.dd), imag(r->v.dd)));
break;
case t_cqq:
real(r->v.dd) = mpq_get_d(oqr(r));
imag(r->v.dd) = mpq_get_d(oqi(r));
goto cdd;
case t_mpc:
mpc:
l->t = t_mpr;
mpc_set_d_d(occ(l), real(l->v.dd), imag(l->v.dd), thr_rndc);
mpfr_hypot(orr(l), orr(l), ori(l), thr_rnd);
mpfr_hypot(ori(l), orr(r), ori(r), thr_rnd);
mpfr_hypot(orr(l), orr(l), ori(l), thr_rnd);
break;
default:
ovm_raise(except_not_a_number);
}
}
static void
test_small (void)
{
mpfr_t x, y, z1, z2;
int inex1, inex2;
unsigned int flags;
/* Test hypot(x,x) with x = 2^(emin-1). Result is x * sqrt(2). */
mpfr_inits2 (8, x, y, z1, z2, (mpfr_ptr) 0);
mpfr_set_si_2exp (x, 1, mpfr_get_emin () - 1, MPFR_RNDN);
mpfr_set_si_2exp (y, 1, mpfr_get_emin () - 1, MPFR_RNDN);
mpfr_set_ui (z1, 2, MPFR_RNDN);
inex1 = mpfr_sqrt (z1, z1, MPFR_RNDN);
inex2 = mpfr_mul (z1, z1, x, MPFR_RNDN);
MPFR_ASSERTN (inex2 == 0);
mpfr_clear_flags ();
inex2 = mpfr_hypot (z2, x, y, MPFR_RNDN);
flags = __gmpfr_flags;
if (mpfr_cmp (z1, z2) != 0)
{
printf ("Error in test_small%s\nExpected ",
ext ? ", extended exponent range" : "");
mpfr_out_str (stdout, 2, 0, z1, MPFR_RNDN);
printf ("\nGot ");
mpfr_out_str (stdout, 2, 0, z2, MPFR_RNDN);
printf ("\n");
exit (1);
}
if (! SAME_SIGN (inex1, inex2))
{
printf ("Bad ternary value in test_small%s\nExpected %d, got %d\n",
ext ? ", extended exponent range" : "", inex1, inex2);
exit (1);
}
if (flags != MPFR_FLAGS_INEXACT)
{
printf ("Bad flags in test_small%s\nExpected %u, got %u\n",
ext ? ", extended exponent range" : "",
(unsigned int) MPFR_FLAGS_INEXACT, flags);
exit (1);
}
mpfr_clears (x, y, z1, z2, (mpfr_ptr) 0);
}
static void
check_overflow (void)
{
mpfr_t x, y;
int inex, r;
mpfr_inits2 (8, x, y, (mpfr_ptr) 0);
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_setmax (x, mpfr_get_emax ());
RND_LOOP(r)
{
mpfr_clear_overflow ();
inex = mpfr_hypot (y, x, x, (mpfr_rnd_t) r);
if (!mpfr_overflow_p ())
{
printf ("No overflow in check_overflow for %s%s\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r),
ext ? ", extended exponent range" : "");
exit (1);
}
MPFR_ASSERTN (MPFR_IS_POS (y));
if (r == MPFR_RNDZ || r == MPFR_RNDD)
{
MPFR_ASSERTN (inex < 0);
MPFR_ASSERTN (!mpfr_inf_p (y));
mpfr_nexttoinf (y);
}
else
{
MPFR_ASSERTN (inex > 0);
}
MPFR_ASSERTN (mpfr_inf_p (y));
}
mpfr_clears (x, y, (mpfr_ptr) 0);
}
static void
test_large (void)
{
mpfr_t x, y, z, t;
mpfr_init (x);
mpfr_init (y);
mpfr_init (z);
mpfr_init (t);
mpfr_set_ui (x, 21, MPFR_RNDN);
mpfr_set_ui (y, 28, MPFR_RNDN);
mpfr_set_ui (z, 35, MPFR_RNDN);
mpfr_mul_2ui (x, x, MPFR_EMAX_DEFAULT-6, MPFR_RNDN);
mpfr_mul_2ui (y, y, MPFR_EMAX_DEFAULT-6, MPFR_RNDN);
mpfr_mul_2ui (z, z, MPFR_EMAX_DEFAULT-6, MPFR_RNDN);
mpfr_hypot (t, x, y, MPFR_RNDN);
if (mpfr_cmp (z, t))
{
printf ("Error in test_large: got\n");
mpfr_out_str (stdout, 2, 0, t, MPFR_RNDN);
printf ("\ninstead of\n");
mpfr_out_str (stdout, 2, 0, z, MPFR_RNDN);
printf ("\n");
exit (1);
}
mpfr_set_prec (x, 53);
mpfr_set_prec (t, 53);
mpfr_set_prec (y, 53);
mpfr_set_str_binary (x, "0.11101100011110000011101000010101010011001101000001100E-1021");
mpfr_set_str_binary (y, "0.11111001010011000001110110001101011100001000010010100E-1021");
mpfr_hypot (t, x, y, MPFR_RNDN);
mpfr_set_str_binary (z, "0.101010111100110111101110111110100110010011001010111E-1020");
if (mpfr_cmp (z, t))
{
printf ("Error in test_large: got\n");
mpfr_out_str (stdout, 2, 0, t, MPFR_RNDN);
printf ("\ninstead of\n");
mpfr_out_str (stdout, 2, 0, z, MPFR_RNDN);
printf ("\n");
exit (1);
}
mpfr_set_prec (x, 240);
mpfr_set_prec (y, 22);
mpfr_set_prec (z, 2);
mpfr_set_prec (t, 2);
mpfr_set_str_binary (x, "0.100111011010010010110100000100000001100010011100110101101111111101011110111011011101010110100101111000111100010100110000100101011110111011100110100110100101110101101100011000001100000001111101110100100100011011011010110111100110010101000111e-7");
mpfr_set_str_binary (y, "0.1111000010000011000111E-10");
mpfr_hypot (t, x, y, MPFR_RNDN);
mpfr_set_str_binary (z, "0.11E-7");
if (mpfr_cmp (z, t))
{
printf ("Error in test_large: got\n");
mpfr_out_str (stdout, 2, 0, t, MPFR_RNDN);
printf ("\ninstead of\n");
mpfr_out_str (stdout, 2, 0, z, MPFR_RNDN);
printf ("\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (t);
}
static void
test_large_small (void)
{
mpfr_t x, y, z;
int inexact, inex2, r;
mpfr_init2 (x, 3);
mpfr_init2 (y, 2);
mpfr_init2 (z, 2);
mpfr_set_ui_2exp (x, 1, mpfr_get_emax () / 2, MPFR_RNDN);
mpfr_set_ui_2exp (y, 1, -1, MPFR_RNDN);
inexact = mpfr_hypot (z, x, y, MPFR_RNDN);
if (inexact >= 0 || mpfr_cmp (x, z))
{
printf ("Error 1 in test_large_small%s\n",
ext ? ", extended exponent range" : "");
exit (1);
}
mpfr_mul_ui (x, x, 5, MPFR_RNDN);
inexact = mpfr_hypot (z, x, y, MPFR_RNDN);
if (mpfr_cmp (x, z) >= 0)
{
printf ("Error 2 in test_large_small%s\n",
ext ? ", extended exponent range" : "");
printf ("x = ");
mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
printf ("\n");
printf ("y = ");
mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
printf ("\n");
printf ("z = ");
mpfr_out_str (stdout, 2, 0, z, MPFR_RNDN);
printf (" (in precision 2) instead of\n ");
mpfr_out_str (stdout, 2, 2, x, MPFR_RNDU);
printf ("\n");
exit (1);
}
RND_LOOP(r)
{
mpfr_set_ui_2exp (x, 1, mpfr_get_emax () - 1, MPFR_RNDN);
mpfr_set_ui_2exp (y, 1, mpfr_get_emin (), MPFR_RNDN);
inexact = mpfr_hypot (z, x, y, (mpfr_rnd_t) r);
inex2 = mpfr_add_ui (y, x, 1, (mpfr_rnd_t) r);
if (! mpfr_equal_p (y, z) || ! SAME_SIGN (inexact, inex2))
{
printf ("Error 3 in test_large_small, %s%s\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r),
ext ? ", extended exponent range" : "");
printf ("Expected ");
mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
printf (", inex = %d\n", inex2);
printf ("Got ");
mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
printf (", inex = %d\n", inexact);
exit (1);
}
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
}
void
ovm_q_hypot(oregister_t *l, oregister_t *r)
{
switch (r->t) {
case t_void:
if (!cfg_float_format) {
l->t = t_float;
l->v.d = fabs(mpq_get_d(oqr(l)));
}
else {
mpfr_set_ui(orr(r), 0, thr_rnd);
goto mpr;
}
break;
case t_word:
if (!cfg_float_format) {
l->t = t_float;
l->v.d = hypot(mpq_get_d(oqr(l)), r->v.w);
}
else {
mpfr_set_si(orr(r), r->v.w, thr_rnd);
goto mpr;
}
break;
case t_float:
l->t = t_float;
l->v.d = hypot(mpq_get_d(oqr(l)), r->v.d);
break;
case t_mpz:
if (!cfg_float_format) {
l->t = t_float;
l->v.d = hypot(mpq_get_d(oqr(l)), mpz_get_d(ozr(r)));
}
else {
mpfr_set_z(orr(r), ozr(r), thr_rnd);
goto mpr;
}
break;
case t_rat:
if (!cfg_float_format) {
l->t = t_float;
l->v.d = hypot(mpq_get_d(oqr(l)), rat_get_d(r->v.r));
}
else {
mpq_set_si(oqr(r), rat_num(r->v.r), rat_den(r->v.r));
mpfr_set_q(orr(r), oqr(r), thr_rnd);
goto mpr;
}
break;
case t_mpq:
if (!cfg_float_format) {
l->t = t_float;
l->v.d = hypot(mpq_get_d(oqr(l)), mpq_get_d(oqr(r)));
}
else {
mpfr_set_q(orr(r), oqr(r), thr_rnd);
goto mpr;
}
break;
case t_mpr:
mpr:
l->t = t_mpr;
mpfr_set_q(orr(l), oqr(l), thr_rnd);
mpfr_hypot(orr(l), orr(l), orr(r), thr_rnd);
break;
case t_cdd:
cdd:
l->t = t_float;
l->v.d = hypot(mpq_get_d(oqr(l)),
hypot(real(r->v.dd), imag(r->v.dd)));
break;
case t_cqq:
if (!cfg_float_format) {
real(r->v.dd) = mpq_get_d(oqr(r));
imag(r->v.dd) = mpq_get_d(oqi(r));
goto cdd;
}
mpc_set_q_q(occ(r), oqr(r), oqi(r), thr_rndc);
case t_mpc:
l->t = t_mpr;
mpc_set_q(occ(l), oqr(l), thr_rndc);
mpfr_hypot(ori(l), orr(l), ori(l), thr_rnd);
mpfr_hypot(orr(l), orr(r), ori(r), thr_rnd);
mpfr_hypot(orr(l), ori(l), orr(l), thr_rnd);
break;
default:
ovm_raise(except_not_a_number);
}
}