Beispiel #1
0
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);
}
Beispiel #2
0
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);
    }
}
Beispiel #3
0
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);
}
Beispiel #4
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);
}
Beispiel #5
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);
}
Beispiel #6
0
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);
}
Beispiel #7
0
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);
    }
}