int
main (int argc, char *argv[])
{
mpfr_t x, y;
mpfr_exp_t emin, emax;
tests_start_mpfr ();
test_set_underflow ();
test_set_overflow ();
check_default_rnd();
mpfr_init (x);
mpfr_init (y);
emin = mpfr_get_emin ();
emax = mpfr_get_emax ();
if (emin >= emax)
{
printf ("Error: emin >= emax\n");
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_mul_2exp (x, x, 1024, MPFR_RNDN);
mpfr_set_double_range ();
mpfr_check_range (x, 0, MPFR_RNDN);
if (!mpfr_inf_p (x) || (mpfr_sgn(x) <= 0))
{
printf ("Error: 2^1024 rounded to nearest should give +Inf\n");
exit (1);
}
set_emax (1025);
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_mul_2exp (x, x, 1024, MPFR_RNDN);
mpfr_set_double_range ();
mpfr_check_range (x, 0, MPFR_RNDD);
if (!mpfr_number_p (x))
{
printf ("Error: 2^1024 rounded down should give a normal number\n");
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_mul_2exp (x, x, 1023, MPFR_RNDN);
mpfr_add (x, x, x, MPFR_RNDN);
if (!mpfr_inf_p (x) || (mpfr_sgn(x) <= 0))
{
printf ("Error: x+x rounded to nearest for x=2^1023 should give +Inf\n");
printf ("emax = %ld\n", mpfr_get_emax ());
printf ("got ");
mpfr_print_binary (x);
puts ("");
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_mul_2exp (x, x, 1023, MPFR_RNDN);
mpfr_add (x, x, x, MPFR_RNDD);
if (!mpfr_number_p (x))
{
printf ("Error: x+x rounded down for x=2^1023 should give"
" a normal number\n");
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_div_2exp (x, x, 1022, MPFR_RNDN);
mpfr_set_str_binary (y, "1.1e-1022"); /* y = 3/2*x */
mpfr_sub (y, y, x, MPFR_RNDZ);
if (mpfr_cmp_ui (y, 0))
{
printf ("Error: y-x rounded to zero should give 0"
" for y=3/2*2^(-1022), x=2^(-1022)\n");
printf ("y=");
mpfr_print_binary (y);
puts ("");
exit (1);
}
set_emin (-1026);
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_div_2exp (x, x, 1025, MPFR_RNDN);
mpfr_set_double_range ();
mpfr_check_range (x, 0, MPFR_RNDN);
if (!MPFR_IS_ZERO (x) )
{
printf ("Error: x rounded to nearest for x=2^-1024 should give Zero\n");
printf ("emin = %ld\n", mpfr_get_emin ());
printf ("got ");
mpfr_dump (x);
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
set_emin (emin);
set_emax (emax);
check_emin_emax();
check_flags();
check_set_get_prec ();
check_powerof2 ();
check_set ();
tests_end_mpfr ();
return 0;
}
int
main (void)
{
mpfr_t x;
mpfr_exp_t emax;
tests_start_mpfr ();
mpfr_init (x);
mpfr_set_nan (x);
mpfr_prec_round (x, 2, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (x));
mpfr_set_inf (x, 1);
mpfr_prec_round (x, 2, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
mpfr_set_inf (x, -1);
mpfr_prec_round (x, 2, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) < 0);
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_prec_round (x, 2, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS(x));
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN);
mpfr_prec_round (x, 2, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_NEG(x));
emax = mpfr_get_emax ();
set_emax (0);
mpfr_set_prec (x, 3);
mpfr_set_str_binary (x, "0.111");
mpfr_prec_round (x, 2, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
set_emax (emax);
mpfr_set_prec (x, mp_bits_per_limb + 2);
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_nextbelow (x);
mpfr_prec_round (x, mp_bits_per_limb + 1, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (x, 1) == 0);
mpfr_set_prec (x, 3);
mpfr_set_ui (x, 5, MPFR_RNDN);
mpfr_prec_round (x, 2, MPFR_RNDN);
if (mpfr_cmp_ui(x, 4))
{
printf ("Error in tround: got ");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
printf (" instead of 4\n");
exit (1);
}
/* check case when reallocation is needed */
mpfr_set_prec (x, 3);
mpfr_set_ui (x, 5, MPFR_RNDN); /* exact */
mpfr_prec_round (x, mp_bits_per_limb + 1, MPFR_RNDN);
if (mpfr_cmp_ui(x, 5))
{
printf ("Error in tround: got ");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
printf (" instead of 5\n");
exit (1);
}
mpfr_clear(x);
mpfr_init2 (x, 3);
mpfr_set_si (x, -5, MPFR_RNDN); /* exact */
mpfr_prec_round (x, mp_bits_per_limb + 1, MPFR_RNDN);
if (mpfr_cmp_si(x, -5))
{
printf ("Error in tround: got ");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
printf (" instead of -5\n");
exit (1);
}
/* check case when new precision needs less limbs */
mpfr_set_prec (x, mp_bits_per_limb + 1);
mpfr_set_ui (x, 5, MPFR_RNDN); /* exact */
mpfr_prec_round (x, 3, MPFR_RNDN); /* exact */
if (mpfr_cmp_ui(x, 5))
{
printf ("Error in tround: got ");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
printf (" instead of 5\n");
exit (1);
}
mpfr_clear(x);
tests_end_mpfr ();
return 0;
}
static void
special (void)
{
mpfr_t x, y, res;
int inexact;
mpfr_init (x);
mpfr_init (y);
mpfr_init (res);
mpfr_set_prec (x, 24);
mpfr_set_prec (y, 24);
mpfr_set_str_binary (y, "0.111100110001011010111");
inexact = mpfr_ui_sub (x, 1, y, GMP_RNDN);
if (inexact)
{
printf ("Wrong inexact flag: got %d, expected 0\n", inexact);
exit (1);
}
mpfr_set_prec (x, 24);
mpfr_set_prec (y, 24);
mpfr_set_str_binary (y, "0.111100110001011010111");
if ((inexact = mpfr_ui_sub (x, 38181761, y, GMP_RNDN)) >= 0)
{
printf ("Wrong inexact flag: got %d, expected -1\n", inexact);
exit (1);
}
mpfr_set_prec (x, 63);
mpfr_set_prec (y, 63);
mpfr_set_str_binary (y, "0.111110010010100100110101101010001001100101110001000101110111111E-1");
if ((inexact = mpfr_ui_sub (x, 1541116494, y, GMP_RNDN)) <= 0)
{
printf ("Wrong inexact flag: got %d, expected +1\n", inexact);
exit (1);
}
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 32);
mpfr_set_str_binary (y, "0.11011000110111010001011100011100E-1");
if ((inexact = mpfr_ui_sub (x, 2000375416, y, GMP_RNDN)) >= 0)
{
printf ("Wrong inexact flag: got %d, expected -1\n", inexact);
exit (1);
}
mpfr_set_prec (x, 24);
mpfr_set_prec (y, 24);
mpfr_set_str_binary (y, "0.110011011001010011110111E-2");
if ((inexact = mpfr_ui_sub (x, 927694848, y, GMP_RNDN)) <= 0)
{
printf ("Wrong inexact flag: got %d, expected +1\n", inexact);
exit (1);
}
/* bug found by Mathieu Dutour, 12 Apr 2001 */
mpfr_set_prec (x, 5);
mpfr_set_prec (y, 5);
mpfr_set_prec (res, 5);
mpfr_set_str_binary (x, "1e-12");
mpfr_ui_sub (y, 1, x, GMP_RNDD);
mpfr_set_str_binary (res, "0.11111");
if (mpfr_cmp (y, res))
{
printf ("Error in mpfr_ui_sub (y, 1, x, GMP_RNDD) for x=2^(-12)\nexpected 1.1111e-1, got ");
mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
printf ("\n");
exit (1);
}
mpfr_ui_sub (y, 1, x, GMP_RNDU);
mpfr_set_str_binary (res, "1.0");
if (mpfr_cmp (y, res))
{
printf ("Error in mpfr_ui_sub (y, 1, x, GMP_RNDU) for x=2^(-12)\n"
"expected 1.0, got ");
mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
printf ("\n");
exit (1);
}
mpfr_ui_sub (y, 1, x, GMP_RNDN);
mpfr_set_str_binary (res, "1.0");
if (mpfr_cmp (y, res))
{
printf ("Error in mpfr_ui_sub (y, 1, x, GMP_RNDN) for x=2^(-12)\n"
"expected 1.0, got ");
mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
printf ("\n");
exit (1);
}
mpfr_set_prec (x, 10);
mpfr_set_prec (y, 10);
mpfr_random (x);
mpfr_ui_sub (y, 0, x, GMP_RNDN);
if (MPFR_IS_ZERO(x))
MPFR_ASSERTN(MPFR_IS_ZERO(y));
else
MPFR_ASSERTN(mpfr_cmpabs (x, y) == 0 && mpfr_sgn (x) != mpfr_sgn (y));
mpfr_set_prec (x, 73);
mpfr_set_str_binary (x, "0.1101111010101011011011100011010000000101110001011111001011011000101111101E-99");
mpfr_ui_sub (x, 1, x, GMP_RNDZ);
mpfr_nextabove (x);
MPFR_ASSERTN(mpfr_cmp_ui (x, 1) == 0);
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (res);
}
static void
check_diverse (void)
{
mpfr_t x, y, z;
int inexact;
mpfr_init (x);
mpfr_init (y);
mpfr_init (z);
/* check corner case cancel=0, but add_exp=1 */
mpfr_set_prec (x, 2);
mpfr_set_prec (y, 4);
mpfr_set_prec (z, 2);
mpfr_setmax (y, __gmpfr_emax);
mpfr_set_str_binary (z, "0.1E-10"); /* tiny */
test_sub (x, y, z, MPFR_RNDN); /* should round to 2^emax, i.e. overflow */
if (!mpfr_inf_p (x) || mpfr_sgn (x) < 0)
{
printf ("Error in mpfr_sub(a,b,c,RNDN) for b=maxfloat, prec(a)<prec(b), c tiny\n");
exit (1);
}
/* other coverage test */
mpfr_set_prec (x, 2);
mpfr_set_prec (y, 2);
mpfr_set_prec (z, 2);
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_set_si (z, -2, MPFR_RNDN);
test_sub (x, y, z, MPFR_RNDD);
if (mpfr_cmp_ui (x, 3))
{
printf ("Error in mpfr_sub(1,-2,RNDD)\n");
exit (1);
}
mpfr_set_prec (x, 288);
mpfr_set_prec (y, 288);
mpfr_set_prec (z, 288);
mpfr_set_str_binary (y, "0.111000110011000001000111101010111011110011101001101111111110000011100101000001001010110010101010011001010100000001110011110001010101101010001011101110100100001011110100110000101101100011010001001011011010101010000010001101001000110010010111111011110001111101001000101101001100101100101000E80");
mpfr_set_str_binary (z, "0.100001111111101001011010001100110010100111001110000110011101001011010100001000000100111011010110110010000000000010101101011000010000110001110010100001100101011100100100001011000100011110000001010101000100011101001000010111100000111000111011001000100100011000100000010010111000000100100111E-258");
inexact = test_sub (x, y, z, MPFR_RNDN);
if (inexact <= 0)
{
printf ("Wrong inexact flag for prec=288\n");
exit (1);
}
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 63);
mpfr_set_prec (z, 63);
mpfr_set_str_binary (x, "0.101101111011011100100100100111E31");
mpfr_set_str_binary (y, "0.111110010010100100110101101010001001100101110001000101110111111E-1");
test_sub (z, x, y, MPFR_RNDN);
mpfr_set_str_binary (y, "0.1011011110110111001001001001101100000110110101101100101001011E31");
if (mpfr_cmp (z, y))
{
printf ("Error in mpfr_sub (5)\n");
printf ("expected "); mpfr_print_binary (y); puts ("");
printf ("got "); mpfr_print_binary (z); puts ("");
exit (1);
}
mpfr_set_prec (y, 63);
mpfr_set_prec (z, 63);
mpfr_set_str_binary (y, "0.1011011110110111001001001001101100000110110101101100101001011E31");
mpfr_sub_ui (z, y, 1541116494, MPFR_RNDN);
mpfr_set_str_binary (y, "-0.11111001001010010011010110101E-1");
if (mpfr_cmp (z, y))
{
printf ("Error in mpfr_sub (7)\n");
printf ("expected "); mpfr_print_binary (y); puts ("");
printf ("got "); mpfr_print_binary (z); puts ("");
exit (1);
}
mpfr_set_prec (y, 63);
mpfr_set_prec (z, 63);
mpfr_set_str_binary (y, "0.1011011110110111001001001001101100000110110101101100101001011E31");
mpfr_sub_ui (z, y, 1541116494, MPFR_RNDN);
mpfr_set_str_binary (y, "-0.11111001001010010011010110101E-1");
if (mpfr_cmp (z, y))
{
printf ("Error in mpfr_sub (6)\n");
printf ("expected "); mpfr_print_binary (y); puts ("");
printf ("got "); mpfr_print_binary (z); puts ("");
exit (1);
}
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 32);
mpfr_set_str_binary (x, "0.10110111101001110100100101111000E0");
mpfr_set_str_binary (y, "0.10001100100101000100110111000100E0");
if ((inexact = test_sub (x, x, y, MPFR_RNDN)))
{
printf ("Wrong inexact flag (2): got %d instead of 0\n", inexact);
exit (1);
}
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 32);
mpfr_set_str_binary (x, "0.11111000110111011000100111011010E0");
mpfr_set_str_binary (y, "0.10011111101111000100001000000000E-3");
if ((inexact = test_sub (x, x, y, MPFR_RNDN)))
{
printf ("Wrong inexact flag (1): got %d instead of 0\n", inexact);
exit (1);
}
mpfr_set_prec (x, 33);
mpfr_set_prec (y, 33);
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_set_str_binary (y, "-0.1E-32");
mpfr_add (x, x, y, MPFR_RNDN);
mpfr_set_str_binary (y, "0.111111111111111111111111111111111E0");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_sub (1 - 1E-33) with prec=33\n");
printf ("Expected "); mpfr_print_binary (y); puts ("");
printf ("got "); mpfr_print_binary (x); puts ("");
exit (1);
}
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 33);
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_set_str_binary (y, "-0.1E-32");
mpfr_add (x, x, y, MPFR_RNDN);
if (mpfr_cmp_ui (x, 1))
{
printf ("Error in mpfr_sub (1 - 1E-33) with prec=32\n");
printf ("Expected 1.0, got "); mpfr_print_binary (x); puts ("");
exit (1);
}
mpfr_set_prec (x, 65);
mpfr_set_prec (y, 65);
mpfr_set_prec (z, 64);
mpfr_set_str_binary (x, "1.1110111011110001110111011111111111101000011001011100101100101101");
mpfr_set_str_binary (y, "0.1110111011110001110111011111111111101000011001011100101100101100");
test_sub (z, x, y, MPFR_RNDZ);
if (mpfr_cmp_ui (z, 1))
{
printf ("Error in mpfr_sub (1)\n");
exit (1);
}
test_sub (z, x, y, MPFR_RNDU);
mpfr_set_str_binary (x, "1.000000000000000000000000000000000000000000000000000000000000001");
if (mpfr_cmp (z, x))
{
printf ("Error in mpfr_sub (2)\n");
printf ("Expected "); mpfr_print_binary (x); puts ("");
printf ("Got "); mpfr_print_binary (z); puts ("");
exit (1);
}
mpfr_set_str_binary (x, "1.1110111011110001110111011111111111101000011001011100101100101101");
test_sub (z, x, y, MPFR_RNDN);
if (mpfr_cmp_ui (z, 1))
{
printf ("Error in mpfr_sub (3)\n");
exit (1);
}
inexact = test_sub (z, x, y, MPFR_RNDA);
mpfr_set_str_binary (x, "1.000000000000000000000000000000000000000000000000000000000000001");
if (mpfr_cmp (z, x) || inexact <= 0)
{
printf ("Error in mpfr_sub (4)\n");
exit (1);
}
mpfr_set_prec (x, 66);
mpfr_set_str_binary (x, "1.11101110111100011101110111111111111010000110010111001011001010111");
test_sub (z, x, y, MPFR_RNDN);
if (mpfr_cmp_ui (z, 1))
{
printf ("Error in mpfr_sub (5)\n");
exit (1);
}
/* check in-place operations */
mpfr_set_ui (x, 1, MPFR_RNDN);
test_sub (x, x, x, MPFR_RNDN);
if (mpfr_cmp_ui(x, 0))
{
printf ("Error for mpfr_sub (x, x, x, MPFR_RNDN) with x=1.0\n");
exit (1);
}
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_prec (z, 53);
mpfr_set_str1 (x, "1.229318102e+09");
mpfr_set_str1 (y, "2.32221184180698677665e+05");
test_sub (z, x, y, MPFR_RNDN);
if (mpfr_cmp_str1 (z, "1229085880.815819263458251953125"))
{
printf ("Error in mpfr_sub (1.22e9 - 2.32e5)\n");
printf ("expected 1229085880.815819263458251953125, got ");
mpfr_out_str(stdout, 10, 0, z, MPFR_RNDN);
putchar('\n');
exit (1);
}
mpfr_set_prec (x, 112);
mpfr_set_prec (y, 98);
mpfr_set_prec (z, 54);
mpfr_set_str_binary (x, "0.11111100100000000011000011100000101101010001000111E-401");
mpfr_set_str_binary (y, "0.10110000100100000101101100011111111011101000111000101E-464");
test_sub (z, x, y, MPFR_RNDN);
if (mpfr_cmp (z, x)) {
printf ("mpfr_sub(z, x, y) failed for prec(x)=112, prec(y)=98\n");
printf ("expected "); mpfr_print_binary (x); puts ("");
printf ("got "); mpfr_print_binary (z); puts ("");
exit (1);
}
mpfr_set_prec (x, 33);
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_div_2exp (x, x, 32, MPFR_RNDN);
mpfr_sub_ui (x, x, 1, MPFR_RNDN);
mpfr_set_prec (x, 5);
mpfr_set_prec (y, 5);
mpfr_set_str_binary (x, "1e-12");
mpfr_set_ui (y, 1, MPFR_RNDN);
test_sub (x, y, x, MPFR_RNDD);
mpfr_set_str_binary (y, "0.11111");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_sub (x, y, x, MPFR_RNDD) for x=2^(-12), y=1\n");
exit (1);
}
mpfr_set_prec (x, 24);
mpfr_set_prec (y, 24);
mpfr_set_str_binary (x, "-0.100010000000000000000000E19");
mpfr_set_str_binary (y, "0.100000000000000000000100E15");
mpfr_add (x, x, y, MPFR_RNDD);
mpfr_set_str_binary (y, "-0.1E19");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_add (2)\n");
exit (1);
}
mpfr_set_prec (x, 2);
mpfr_set_prec (y, 10);
mpfr_set_prec (z, 10);
mpfr_set_ui (y, 0, MPFR_RNDN);
mpfr_set_str_binary (z, "0.10001");
if (test_sub (x, y, z, MPFR_RNDN) <= 0)
{
printf ("Wrong inexact flag in x=mpfr_sub(0,z) for prec(z)>prec(x)\n");
exit (1);
}
if (test_sub (x, z, y, MPFR_RNDN) >= 0)
{
printf ("Wrong inexact flag in x=mpfr_sub(z,0) for prec(z)>prec(x)\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
}
static void
check_specials (void)
{
mpfr_t x, y;
mpfr_init2 (x, 123L);
mpfr_init2 (y, 123L);
mpfr_set_nan (x);
mpfr_csch (y, x, MPFR_RNDN);
if (! mpfr_nan_p (y))
{
printf ("Error: csch(NaN) != NaN\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_csch (y, x, MPFR_RNDN);
if (! (mpfr_zero_p (y) && MPFR_SIGN (y) >0))
{
printf ("Error: csch(+Inf) != +0\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_csch (y, x, MPFR_RNDN);
if (! (mpfr_zero_p (y) && MPFR_SIGN (y) <0))
{
printf ("Error: csch(-0) != -0\n");
exit (1);
}
/* csc(+/-0) = +/-Inf */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_csch (y, x, MPFR_RNDN);
if (! (mpfr_inf_p (y) && mpfr_sgn (y) > 0))
{
printf ("Error: csch(+0) != +Inf\n");
exit (1);
}
mpfr_neg (x, x, MPFR_RNDN);
mpfr_csch (y, x, MPFR_RNDN);
if (! (mpfr_inf_p (y) && mpfr_sgn (y) < 0))
{
printf ("Error: csch(-0) != -Inf\n");
exit (1);
}
/* check huge x */
mpfr_set_str (x, "8e8", 10, MPFR_RNDN);
mpfr_csch (y, x, MPFR_RNDN);
if (! (mpfr_zero_p (y) && MPFR_SIGN (y) > 0))
{
printf ("Error: csch(8e8) != +0\n");
exit (1);
}
mpfr_set_str (x, "-8e8", 10, MPFR_RNDN);
mpfr_csch (y, x, MPFR_RNDN);
if (! (mpfr_zero_p (y) && MPFR_SIGN (y) < 0))
{
printf ("Error: csch(-8e8) != -0\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
int
main (int argc, char *argv[])
{
mpfr_t x, y, z;
unsigned long k, n;
volatile double d;
double dd;
tests_start_mpfr ();
mpfr_test_init ();
#ifndef MPFR_DOUBLE_SPEC
printf ("Warning! The MPFR_DOUBLE_SPEC macro is not defined. This means\n"
"that you do not have a conforming C implementation and problems\n"
"may occur with conversions between MPFR numbers and standard\n"
"floating-point types. Please contact the MPFR team.\n");
#elif MPFR_DOUBLE_SPEC == 0
/*
printf ("The type 'double' of your C implementation does not seem to\n"
"correspond to the IEEE-754 double precision. Though code has\n"
"been written to support such implementations, tests have been\n"
"done only on IEEE-754 double-precision implementations and\n"
"conversions between MPFR numbers and standard floating-point\n"
"types may be inaccurate. You may wish to contact the MPFR team\n"
"for further testing.\n");
*/
printf ("The type 'double' of your C implementation does not seem to\n"
"correspond to the IEEE-754 double precision. Such particular\n"
"implementations are not supported yet, and conversions between\n"
"MPFR numbers and standard floating-point types may be very\n"
"inaccurate.\n");
printf ("FLT_RADIX = %ld\n", (long) FLT_RADIX);
printf ("DBL_MANT_DIG = %ld\n", (long) DBL_MANT_DIG);
printf ("DBL_MIN_EXP = %ld\n", (long) DBL_MIN_EXP);
printf ("DBL_MAX_EXP = %ld\n", (long) DBL_MAX_EXP);
#endif
mpfr_init (x);
mpfr_set_nan (x);
d = mpfr_get_d (x, MPFR_RNDN);
if (! DOUBLE_ISNAN (d))
{
printf ("ERROR for NAN (1)\n");
#ifdef MPFR_NANISNAN
printf ("The reason is that NAN == NAN. Please look at the configure "
"output\nand Section \"In case of problem\" of the INSTALL "
"file.\n");
#endif
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_set_d (x, d, MPFR_RNDN);
if (! mpfr_nan_p (x))
{
printf ("ERROR for NAN (2)\n");
#ifdef MPFR_NANISNAN
printf ("The reason is that NAN == NAN. Please look at the configure "
"output\nand Section \"In case of problem\" of the INSTALL "
"file.\n");
#endif
exit (1);
}
d = 0.0;
mpfr_set_d (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS(x));
d = -d;
mpfr_set_d (x, d, MPFR_RNDN);
if (mpfr_cmp_ui (x, 0) != 0 || MPFR_IS_POS(x))
{
printf ("Error in mpfr_set_d on -0\n");
exit (1);
}
mpfr_set_inf (x, 1);
d = mpfr_get_d (x, MPFR_RNDN);
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_set_d (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
mpfr_set_inf (x, -1);
d = mpfr_get_d (x, MPFR_RNDN);
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_set_d (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) < 0);
mpfr_set_prec (x, 2);
/* checks that denormalized are not flushed to zero */
d = DBL_MIN; /* 2^(-1022) */
for (n=0; n<52; n++, d /= 2.0)
if (d != 0.0) /* should be 2^(-1022-n) */
{
mpfr_set_d (x, d, MPFR_RNDN);
if (mpfr_cmp_ui_2exp (x, 1, -1022-n))
{
printf ("Wrong result for d=2^(%ld), ", -1022-n);
printf ("got ");
mpfr_out_str (stdout, 10, 10, x, MPFR_RNDN);
printf ("\n");
mpfr_print_binary (x);
puts ("");
exit (1);
}
}
/* checks that rounds to nearest sets the last
bit to zero in case of equal distance */
mpfr_set_d (x, 5.0, MPFR_RNDN);
if (mpfr_cmp_ui (x, 4))
{
printf ("Error in tset_d: expected 4.0, got ");
mpfr_print_binary (x); putchar('\n');
exit (1);
}
mpfr_set_d (x, -5.0, MPFR_RNDN);
if (mpfr_cmp_si (x, -4))
{
printf ("Error in tset_d: expected -4.0, got ");
mpfr_print_binary (x); putchar('\n');
exit (1);
}
mpfr_set_d (x, 9.84891017624509146344e-01, MPFR_RNDU);
if (mpfr_cmp_ui (x, 1))
{
printf ("Error in tset_d: expected 1.0, got ");
mpfr_print_binary (x); putchar('\n');
exit (1);
}
mpfr_init2 (z, 32);
mpfr_set_d (z, 1.0, (mpfr_rnd_t) 0);
if (mpfr_cmp_ui (z, 1))
{
mpfr_print_binary (z); puts ("");
printf ("Error: 1.0 != 1.0\n");
exit (1);
}
mpfr_set_prec (x, 53);
mpfr_init2 (y, 53);
mpfr_set_d (x, d=-1.08007920352320089721e+150, (mpfr_rnd_t) 0);
if (mpfr_get_d1 (x) != d)
{
mpfr_print_binary (x); puts ("");
printf ("Error: get_d o set_d <> identity for d = %1.20e %1.20e\n",
d, mpfr_get_d1 (x));
exit (1);
}
mpfr_set_d (x, 8.06294740693074521573e-310, (mpfr_rnd_t) 0);
d = -6.72658901114033715233e-165;
mpfr_set_d (x, d, (mpfr_rnd_t) 0);
if (d != mpfr_get_d1 (x))
{
mpfr_print_binary (x);
puts ("");
printf ("Error: get_d o set_d <> identity for d = %1.20e %1.20e\n",
d, mpfr_get_d1 (x));
exit (1);
}
n = (argc==1) ? 500000 : atoi(argv[1]);
for (k = 1; k <= n; k++)
{
do
{
d = DBL_RAND ();
}
#ifdef HAVE_DENORMS
while (0);
#else
while (ABS(d) < DBL_MIN);
#endif
mpfr_set_d (x, d, (mpfr_rnd_t) 0);
dd = mpfr_get_d1 (x);
if (d != dd && !(Isnan(d) && Isnan(dd)))
{
printf ("Mismatch on : %1.18g != %1.18g\n", d, mpfr_get_d1 (x));
mpfr_print_binary (x);
puts ("");
exit (1);
}
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
tests_end_mpfr ();
return 0;
}
static void
special (void)
{
mpfr_t x, y;
int i;
mpfr_init (x);
mpfr_init (y);
/* root(NaN) = NaN */
mpfr_set_nan (x);
mpfr_root (y, x, 17, GMP_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error: root(NaN,17) <> NaN\n");
exit (1);
}
/* root(+Inf) = +Inf */
mpfr_set_inf (x, 1);
mpfr_root (y, x, 42, GMP_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error: root(+Inf,42) <> +Inf\n");
exit (1);
}
/* root(-Inf, 17) = -Inf */
mpfr_set_inf (x, -1);
mpfr_root (y, x, 17, GMP_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) > 0)
{
printf ("Error: root(-Inf,17) <> -Inf\n");
exit (1);
}
/* root(-Inf, 42) = NaN */
mpfr_set_inf (x, -1);
mpfr_root (y, x, 42, GMP_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error: root(-Inf,42) <> -Inf\n");
exit (1);
}
/* root(+/-0) = +/-0 */
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_root (y, x, 17, GMP_RNDN);
if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
{
printf ("Error: root(+0,17) <> +0\n");
exit (1);
}
mpfr_neg (x, x, GMP_RNDN);
mpfr_root (y, x, 42, GMP_RNDN);
if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0)
{
printf ("Error: root(-0,42) <> -0\n");
exit (1);
}
mpfr_set_prec (x, 53);
mpfr_set_str (x, "8.39005285514734966412e-01", 10, GMP_RNDN);
mpfr_root (x, x, 3, GMP_RNDN);
if (mpfr_cmp_str1 (x, "9.43166207799662426048e-01"))
{
printf ("Error in root3 (1)\n");
printf ("expected 9.43166207799662426048e-01\n");
printf ("got ");
mpfr_dump (x);
exit (1);
}
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 32);
mpfr_set_str_binary (x, "0.10000100001100101001001001011001");
mpfr_root (x, x, 3, GMP_RNDN);
mpfr_set_str_binary (y, "0.11001101011000100111000111111001");
if (mpfr_cmp (x, y))
{
printf ("Error in root3 (2)\n");
exit (1);
}
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 32);
mpfr_set_str_binary (x, "-0.1100001110110000010101011001011");
mpfr_root (x, x, 3, GMP_RNDD);
mpfr_set_str_binary (y, "-0.11101010000100100101000101011001");
if (mpfr_cmp (x, y))
{
printf ("Error in root3 (3)\n");
exit (1);
}
mpfr_set_prec (x, 82);
mpfr_set_prec (y, 27);
mpfr_set_str_binary (x, "0.1010001111011101011011000111001011001101100011110110010011011011011010011001100101e-7");
mpfr_root (y, x, 3, GMP_RNDD);
mpfr_set_str_binary (x, "0.101011110001110001000100011E-2");
if (mpfr_cmp (x, y))
{
printf ("Error in root3 (4)\n");
exit (1);
}
mpfr_set_prec (x, 204);
mpfr_set_prec (y, 38);
mpfr_set_str_binary (x, "0.101000000001101000000001100111111011111001110110100001111000100110100111001101100111110001110001011011010110010011100101111001111100001010010100111011101100000011011000101100010000000011000101001010001001E-5");
mpfr_root (y, x, 3, GMP_RNDD);
mpfr_set_str_binary (x, "0.10001001111010011011101000010110110010E-1");
if (mpfr_cmp (x, y))
{
printf ("Error in root3 (5)\n");
exit (1);
}
/* Worst case found on 2006-11-25 */
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_str_binary (x, "1.0100001101101101001100110001001000000101001101100011E28");
mpfr_root (y, x, 35, GMP_RNDN);
mpfr_set_str_binary (x, "1.1100000010110101100011101011000010100001101100100011E0");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_root (y, x, 35, GMP_RNDN) for\n"
"x = 1.0100001101101101001100110001001000000101001101100011E28\n"
"Expected ");
mpfr_dump (x);
printf ("Got ");
mpfr_dump (y);
exit (1);
}
/* Worst cases found on 2006-11-26 */
mpfr_set_str_binary (x, "1.1111010011101110001111010110000101110000110110101100E17");
mpfr_root (y, x, 36, GMP_RNDD);
mpfr_set_str_binary (x, "1.0110100111010001101001010111001110010100111111000010E0");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_root (y, x, 36, GMP_RNDD) for\n"
"x = 1.1111010011101110001111010110000101110000110110101100E17\n"
"Expected ");
mpfr_dump (x);
printf ("Got ");
mpfr_dump (y);
exit (1);
}
mpfr_set_str_binary (x, "1.1100011101101101100010110001000001110001111110010000E23");
mpfr_root (y, x, 36, GMP_RNDU);
mpfr_set_str_binary (x, "1.1001010100001110000110111111100011011101110011000100E0");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_root (y, x, 36, GMP_RNDU) for\n"
"x = 1.1100011101101101100010110001000001110001111110010000E23\n"
"Expected ");
mpfr_dump (x);
printf ("Got ");
mpfr_dump (y);
exit (1);
}
/* Check for k = 1 */
mpfr_set_ui (x, 17, GMP_RNDN);
i = mpfr_root (y, x, 1, GMP_RNDN);
if (mpfr_cmp_ui (x, 17) || i != 0)
{
printf ("Error in root (17^(1/1))\n");
exit (1);
}
#if 0
/* Check for k == 0:
For 0 <= x < 1 => +0.
For x = 1 => 1.
For x > 1, => +Inf.
For x < 0 => NaN. */
i = mpfr_root (y, x, 0, GMP_RNDN);
if (!MPFR_IS_INF (y) || !MPFR_IS_POS (y) || i != 0)
{
printf ("Error in root 17^(1/0)\n");
exit (1);
}
mpfr_set_ui (x, 1, GMP_RNDN);
i = mpfr_root (y, x, 0, GMP_RNDN);
if (mpfr_cmp_ui (y, 1) || i != 0)
{
printf ("Error in root 1^(1/0)\n");
exit (1);
}
mpfr_set_ui (x, 0, GMP_RNDN);
i = mpfr_root (y, x, 0, GMP_RNDN);
if (!MPFR_IS_ZERO (y) || !MPFR_IS_POS (y) || i != 0)
{
printf ("Error in root 0+^(1/0)\n");
exit (1);
}
MPFR_CHANGE_SIGN (x);
i = mpfr_root (y, x, 0, GMP_RNDN);
if (!MPFR_IS_ZERO (y) || !MPFR_IS_POS (y) || i != 0)
{
printf ("Error in root 0-^(1/0)\n");
exit (1);
}
mpfr_set_ui_2exp (x, 17, -5, GMP_RNDD);
i = mpfr_root (y, x, 0, GMP_RNDN);
if (!MPFR_IS_ZERO (y) || !MPFR_IS_POS (y) || i != 0)
{
printf ("Error in root (17/2^5)^(1/0)\n");
exit (1);
}
#endif
mpfr_set_ui (x, 0, GMP_RNDN);
i = mpfr_root (y, x, 0, GMP_RNDN);
if (!MPFR_IS_NAN (y) || i != 0)
{
printf ("Error in root 0+^(1/0)\n");
exit (1);
}
/* Check for k==2 */
mpfr_set_si (x, -17, GMP_RNDD);
i = mpfr_root (y, x, 2, GMP_RNDN);
if (!MPFR_IS_NAN (y) || i != 0)
{
printf ("Error in root (-17)^(1/2)\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
check_cmp (int argc, char *argv[])
{
mpfr_t x, y;
int n, k;
mpfr_inits2 (53, x, y, (mpfr_ptr) 0);
mpfr_set_ui(x, 1, MPFR_RNDN);
(mpfr_abs) (x, x, MPFR_RNDN);
if (mpfr_cmp_ui (x, 1))
{
printf ("Error in mpfr_abs(1.0)\n");
exit (1);
}
mpfr_set_si(x, -1, MPFR_RNDN);
mpfr_abs(x, x, MPFR_RNDN);
if (mpfr_cmp_ui (x, 1))
{
printf ("Error in mpfr_abs(1.0)\n");
exit (1);
}
mpfr_set_si(x, -1, MPFR_RNDN);
mpfr_abs(x, x, MPFR_RNDN);
if (mpfr_cmp_ui (x, 1))
{
printf ("Error in mpfr_abs(-1.0)\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_abs (x, x, MPFR_RNDN);
if (!mpfr_inf_p(x) || (mpfr_sgn(x) <= 0))
{
printf ("Error in mpfr_abs(Inf).\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_abs (x, x, MPFR_RNDN);
if (!mpfr_inf_p(x) || (mpfr_sgn(x) <= 0))
{
printf ("Error in mpfr_abs(-Inf).\n");
exit (1);
}
MPFR_SET_NAN(x);
mpfr_abs (x, x, MPFR_RNDN);
if (!MPFR_IS_NAN(x))
{
printf ("Error in mpfr_abs(NAN).\n");
exit (1);
}
n = (argc==1) ? 25000 : atoi(argv[1]);
for (k = 1; k <= n; k++)
{
mpfr_rnd_t rnd;
int sign = SIGN_RAND ();
mpfr_urandomb (x, RANDS);
MPFR_SET_SIGN (x, sign);
rnd = RND_RAND ();
mpfr_abs (y, x, rnd);
MPFR_SET_POS (x);
if (mpfr_cmp (x, y))
{
printf ("Mismatch for sign=%d and x=", sign);
mpfr_print_binary (x);
printf ("\nResults=");
mpfr_print_binary (y);
putchar ('\n');
exit (1);
}
}
mpfr_clears (x, y, (mpfr_ptr) 0);
}
static void
special_overflow (void)
{
mpfr_t x, y;
mpfr_exp_t emin, emax;
int inex;
emin = mpfr_get_emin ();
emax = mpfr_get_emax ();
set_emin (-125);
set_emax (128);
mpfr_init2 (x, 24);
mpfr_init2 (y, 24);
mpfr_set_str_binary (x, "0.101100100000000000110100E7");
mpfr_gamma (y, x, MPFR_RNDN);
if (!mpfr_inf_p (y))
{
printf ("Overflow error.\n");
mpfr_dump (y);
exit (1);
}
/* problem mentioned by Kenneth Wilder, 18 Aug 2005 */
mpfr_set_prec (x, 29);
mpfr_set_prec (y, 29);
mpfr_set_str (x, "-200000000.5", 10, MPFR_RNDN); /* exact */
mpfr_gamma (y, x, MPFR_RNDN);
if (!(mpfr_zero_p (y) && MPFR_SIGN (y) < 0))
{
printf ("Error for gamma(-200000000.5)\n");
printf ("expected -0");
printf ("got ");
mpfr_dump (y);
exit (1);
}
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_str (x, "-200000000.1", 10, MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDN);
if (!(mpfr_zero_p (y) && MPFR_SIGN (y) < 0))
{
printf ("Error for gamma(-200000000.1), prec=53\n");
printf ("expected -0");
printf ("got ");
mpfr_dump (y);
exit (1);
}
/* another problem mentioned by Kenneth Wilder, 29 Aug 2005 */
mpfr_set_prec (x, 333);
mpfr_set_prec (y, 14);
mpfr_set_str (x, "-2.0000000000000000000000005", 10, MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDN);
mpfr_set_prec (x, 14);
mpfr_set_str_binary (x, "-11010011110001E66");
if (mpfr_cmp (x, y))
{
printf ("Error for gamma(-2.0000000000000000000000005)\n");
printf ("expected "); mpfr_dump (x);
printf ("got "); mpfr_dump (y);
exit (1);
}
/* another tests from Kenneth Wilder, 31 Aug 2005 */
set_emax (200);
set_emin (-200);
mpfr_set_prec (x, 38);
mpfr_set_prec (y, 54);
mpfr_set_str_binary (x, "0.11101111011100111101001001010110101001E-166");
mpfr_gamma (y, x, MPFR_RNDN);
mpfr_set_prec (x, 54);
mpfr_set_str_binary (x, "0.100010001101100001110110001010111111010000100101011E167");
if (mpfr_cmp (x, y))
{
printf ("Error for gamma (test 1)\n");
printf ("expected "); mpfr_dump (x);
printf ("got "); mpfr_dump (y);
exit (1);
}
set_emax (1000);
set_emin (-2000);
mpfr_set_prec (x, 38);
mpfr_set_prec (y, 71);
mpfr_set_str_binary (x, "10101011011100001111111000010111110010E-1034");
/* 184083777010*2^(-1034) */
mpfr_gamma (y, x, MPFR_RNDN);
mpfr_set_prec (x, 71);
mpfr_set_str_binary (x, "10111111001000011110010001000000000000110011110000000011101011111111100E926");
/* 1762885132679550982140*2^926 */
if (mpfr_cmp (x, y))
{
printf ("Error for gamma (test 2)\n");
printf ("expected "); mpfr_dump (x);
printf ("got "); mpfr_dump (y);
exit (1);
}
mpfr_set_prec (x, 38);
mpfr_set_prec (y, 88);
mpfr_set_str_binary (x, "10111100111001010000100001100100100101E-104");
/* 202824096037*2^(-104) */
mpfr_gamma (y, x, MPFR_RNDN);
mpfr_set_prec (x, 88);
mpfr_set_str_binary (x, "1010110101111000111010111100010110101010100110111000001011000111000011101100001101110010E-21");
/* 209715199999500283894743922*2^(-21) */
if (mpfr_cmp (x, y))
{
printf ("Error for gamma (test 3)\n");
printf ("expected "); mpfr_dump (x);
printf ("got "); mpfr_dump (y);
exit (1);
}
mpfr_set_prec (x, 171);
mpfr_set_prec (y, 38);
mpfr_set_str (x, "-2993155353253689176481146537402947624254601559176535", 10,
MPFR_RNDN);
mpfr_div_2exp (x, x, 170, MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDN);
mpfr_set_prec (x, 38);
mpfr_set_str (x, "201948391737", 10, MPFR_RNDN);
mpfr_mul_2exp (x, x, 92, MPFR_RNDN);
if (mpfr_cmp (x, y))
{
printf ("Error for gamma (test 5)\n");
printf ("expected "); mpfr_dump (x);
printf ("got "); mpfr_dump (y);
exit (1);
}
set_emin (-500000);
mpfr_set_prec (x, 337);
mpfr_set_prec (y, 38);
mpfr_set_str (x, "-30000.000000000000000000000000000000000000000000001", 10,
MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDN);
mpfr_set_prec (x, 38);
mpfr_set_str (x, "-3.623795987425E-121243", 10, MPFR_RNDN);
if (mpfr_cmp (x, y))
{
printf ("Error for gamma (test 7)\n");
printf ("expected "); mpfr_dump (x);
printf ("got "); mpfr_dump (y);
exit (1);
}
/* was producing infinite loop */
set_emin (emin);
mpfr_set_prec (x, 71);
mpfr_set_prec (y, 71);
mpfr_set_str (x, "-200000000.1", 10, MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDN);
if (!(mpfr_zero_p (y) && MPFR_SIGN (y) < 0))
{
printf ("Error for gamma (test 8)\n");
printf ("expected "); mpfr_dump (x);
printf ("got "); mpfr_dump (y);
exit (1);
}
set_emax (1073741823);
mpfr_set_prec (x, 29);
mpfr_set_prec (y, 29);
mpfr_set_str (x, "423786866", 10, MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error for gamma(423786866)\n");
exit (1);
}
/* check exact result */
mpfr_set_prec (x, 2);
mpfr_set_ui (x, 3, MPFR_RNDN);
inex = mpfr_gamma (x, x, MPFR_RNDN);
if (inex != 0 || mpfr_cmp_ui (x, 2) != 0)
{
printf ("Error for gamma(3)\n");
exit (1);
}
mpfr_set_emax (1024);
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_str_binary (x, "101010110100110011111010000110001000111100000110101E-43");
mpfr_gamma (x, x, MPFR_RNDU);
mpfr_set_str_binary (y, "110000011110001000111110110101011110000100001111111E971");
if (mpfr_cmp (x, y) != 0)
{
printf ("Error for gamma(4)\n");
printf ("expected "); mpfr_dump (y);
printf ("got "); mpfr_dump (x);
exit (1);
}
set_emin (emin);
set_emax (emax);
/* bug found by Kevin Rauch, 26 Oct 2007 */
mpfr_set_str (x, "1e19", 10, MPFR_RNDN);
inex = mpfr_gamma (x, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && inex > 0);
mpfr_clear (y);
mpfr_clear (x);
}
APLVFP PrimFnMonDownStileVisV
(APLVFP aplVfpRht,
LPPRIMSPEC lpPrimSpec)
{
APLVFP mpfRes = {0},
mpfFloor = {0},
mpfCeil = {0},
mpfTmp1 = {0},
mpfTmp2 = {0},
mpfNear = {0};
// Check for PoM infinity
if (IsMpfInfinity (&aplVfpRht))
// Copy to the result
mpfr_init_copy (&mpfRes, &aplVfpRht);
else
{
#ifdef DEBUG
//// WCHAR wszTemp[512];
#endif
// Initialize the temps
mpfr_init0 (&mpfRes);
mpfr_init0 (&mpfFloor);
mpfr_init0 (&mpfCeil );
mpfr_init0 (&mpfTmp1);
mpfr_init0 (&mpfTmp2);
mpfr_init0 (&mpfNear);
// Get the exact floor and ceiling
mpfr_floor (&mpfFloor, &aplVfpRht);
mpfr_ceil (&mpfCeil , &aplVfpRht);
// Calculate the integer nearest the right arg
mpfr_sub (&mpfTmp1, &aplVfpRht, &mpfFloor, MPFR_RNDN);
mpfr_sub (&mpfTmp2, &mpfCeil , &aplVfpRht, MPFR_RNDN);
// Split cases based upon the signum of the difference between
// (the number and its floor) and (the ceiling and the number)
switch (signumint (mpfr_cmp (&mpfTmp1, &mpfTmp2)))
{
case 1:
mpfr_set (&mpfNear, &mpfCeil, MPFR_RNDN);
break;
case 0:
mpfr_abs (&mpfTmp1, &mpfFloor, MPFR_RNDN);
mpfr_abs (&mpfTmp2, &mpfFloor, MPFR_RNDN);
// They are equal, so use the one with the larger absolute value
mpfr_set (&mpfNear,
((mpfr_cmp (&mpfTmp1, &mpfTmp2) > 0) ? &mpfFloor
: &mpfCeil),
MPFR_RNDN);
break;
case -1:
mpfr_set (&mpfNear, &mpfFloor, MPFR_RNDN);
break;
defstop
break;
} // End SWITCH
#ifdef DEBUG
//// strcpyW (wszTemp, L"Floor: "); *FormatAplVfp (&wszTemp[lstrlenW (wszTemp)], mpfFloor, 0) = WC_EOS; DbgMsgW (wszTemp);
//// strcpyW (wszTemp, L"Near: "); *FormatAplVfp (&wszTemp[lstrlenW (wszTemp)], mpfNear , 0) = WC_EOS; DbgMsgW (wszTemp);
//// strcpyW (wszTemp, L"Ceil: "); *FormatAplVfp (&wszTemp[lstrlenW (wszTemp)], mpfCeil , 0) = WC_EOS; DbgMsgW (wszTemp);
#endif
// If Near is < Rht, return Near
if (mpfr_cmp (&mpfNear, &aplVfpRht) < 0)
mpfr_set (&mpfRes, &mpfNear, MPFR_RNDN);
else
{
// If Near is non-zero, and
// Rht is tolerantly-equal to Near,
// return Near; otherwise, return Near - 1
if (mpfr_sgn (&mpfNear) NE 0)
{
mpfr_set (&mpfRes, &mpfNear, MPFR_RNDN);
if (!PrimFnDydEqualBisVvV (aplVfpRht,
mpfNear,
NULL))
mpfr_sub_ui (&mpfRes, &mpfRes, 1, MPFR_RNDN);
} else
{
// aplNear is zero
// Get -[]CT as a VFP
mpfr_set_d (&mpfTmp1, -GetQuadCT (), MPFR_RNDN);
// If Rht is between (-[]CT) and 0 (inclusive),
// return 0; otherwise, return -1
if (mpfr_cmp (&mpfTmp1, &aplVfpRht) <= 0
&& mpfr_sgn (&aplVfpRht) <= 0)
mpfr_set_si (&mpfRes, 0, MPFR_RNDN);
else
mpfr_set_si (&mpfRes, -1, MPFR_RNDN);
} // End IF/ELSE
} // End IF/ELSE
// We no longer need this storage
Myf_clear (&mpfNear);
Myf_clear (&mpfTmp2);
Myf_clear (&mpfTmp1);
Myf_clear (&mpfCeil);
Myf_clear (&mpfFloor);
} // End IF/ELSE
return mpfRes;
} // End PrimFnMonDownStileVisV
void generate_2D_sample (FILE *output, struct speed_params2D param)
{
mpfr_t temp;
double incr_prec;
mpfr_t incr_x;
mpfr_t x, x2;
double prec;
struct speed_params s;
int i;
int test;
int nb_functions;
double *t; /* store the timing of each implementation */
/* We first determine how many implementations we have */
nb_functions = 0;
while (param.speed_funcs[nb_functions] != NULL)
nb_functions++;
t = malloc (nb_functions * sizeof (double));
if (t == NULL)
{
fprintf (stderr, "Can't allocate memory.\n");
abort ();
}
mpfr_init2 (temp, MPFR_SMALL_PRECISION);
/* The precision is sampled from min_prec to max_prec with */
/* approximately nb_points_prec points. If logarithmic_scale_prec */
/* is true, the precision is multiplied by incr_prec at each */
/* step. Otherwise, incr_prec is added at each step. */
if (param.logarithmic_scale_prec)
{
mpfr_set_ui (temp, (unsigned long int)param.max_prec, MPFR_RNDU);
mpfr_div_ui (temp, temp, (unsigned long int)param.min_prec, MPFR_RNDU);
mpfr_root (temp, temp,
(unsigned long int)param.nb_points_prec, MPFR_RNDU);
incr_prec = mpfr_get_d (temp, MPFR_RNDU);
}
else
{
incr_prec = (double)param.max_prec - (double)param.min_prec;
incr_prec = incr_prec/((double)param.nb_points_prec);
}
/* The points x are sampled according to the following rule: */
/* If logarithmic_scale_x = 0: */
/* nb_points_x points are equally distributed between min_x and max_x */
/* If logarithmic_scale_x = 1: */
/* nb_points_x points are sampled from 2^(min_x) to 2^(max_x). At */
/* each step, the current point is multiplied by incr_x. */
/* If logarithmic_scale_x = -1: */
/* nb_points_x/2 points are sampled from -2^(max_x) to -2^(min_x) */
/* (at each step, the current point is divided by incr_x); and */
/* nb_points_x/2 points are sampled from 2^(min_x) to 2^(max_x) */
/* (at each step, the current point is multiplied by incr_x). */
mpfr_init2 (incr_x, param.max_prec);
if (param.logarithmic_scale_x == 0)
{
mpfr_set_d (incr_x,
(param.max_x - param.min_x)/(double)param.nb_points_x,
MPFR_RNDU);
}
else if (param.logarithmic_scale_x == -1)
{
mpfr_set_d (incr_x,
2.*(param.max_x - param.min_x)/(double)param.nb_points_x,
MPFR_RNDU);
mpfr_exp2 (incr_x, incr_x, MPFR_RNDU);
}
else
{ /* other values of param.logarithmic_scale_x are considered as 1 */
mpfr_set_d (incr_x,
(param.max_x - param.min_x)/(double)param.nb_points_x,
MPFR_RNDU);
mpfr_exp2 (incr_x, incr_x, MPFR_RNDU);
}
/* Main loop */
mpfr_init2 (x, param.max_prec);
mpfr_init2 (x2, param.max_prec);
prec = (double)param.min_prec;
while (prec <= param.max_prec)
{
printf ("prec = %d\n", (int)prec);
if (param.logarithmic_scale_x == 0)
mpfr_set_d (temp, param.min_x, MPFR_RNDU);
else if (param.logarithmic_scale_x == -1)
{
mpfr_set_d (temp, param.max_x, MPFR_RNDD);
mpfr_exp2 (temp, temp, MPFR_RNDD);
mpfr_neg (temp, temp, MPFR_RNDU);
}
else
{
mpfr_set_d (temp, param.min_x, MPFR_RNDD);
mpfr_exp2 (temp, temp, MPFR_RNDD);
}
/* We perturb x a little bit, in order to avoid trailing zeros that */
/* might change the behavior of algorithms. */
mpfr_const_pi (x, MPFR_RNDN);
mpfr_div_2ui (x, x, 7, MPFR_RNDN);
mpfr_add_ui (x, x, 1, MPFR_RNDN);
mpfr_mul (x, x, temp, MPFR_RNDN);
test = 1;
while (test)
{
mpfr_fprintf (output, "%e\t", mpfr_get_d (x, MPFR_RNDN));
mpfr_fprintf (output, "%Pu\t", (mpfr_prec_t)prec);
s.r = (mp_limb_t)mpfr_get_exp (x);
s.size = (mpfr_prec_t)prec;
s.align_xp = (mpfr_sgn (x) > 0)?1:2;
mpfr_set_prec (x2, (mpfr_prec_t)prec);
mpfr_set (x2, x, MPFR_RNDU);
s.xp = x2->_mpfr_d;
for (i=0; i<nb_functions; i++)
{
t[i] = speed_measure (param.speed_funcs[i], &s);
mpfr_fprintf (output, "%e\t", t[i]);
}
fprintf (output, "%d\n", 1 + find_best (t, nb_functions));
if (param.logarithmic_scale_x == 0)
{
mpfr_add (x, x, incr_x, MPFR_RNDU);
if (mpfr_cmp_d (x, param.max_x) > 0)
test=0;
}
else
{
if (mpfr_sgn (x) < 0 )
{ /* if x<0, it means that logarithmic_scale_x=-1 */
mpfr_div (x, x, incr_x, MPFR_RNDU);
mpfr_abs (temp, x, MPFR_RNDD);
mpfr_log2 (temp, temp, MPFR_RNDD);
if (mpfr_cmp_d (temp, param.min_x) < 0)
mpfr_neg (x, x, MPFR_RNDN);
}
else
{
mpfr_mul (x, x, incr_x, MPFR_RNDU);
mpfr_set (temp, x, MPFR_RNDD);
mpfr_log2 (temp, temp, MPFR_RNDD);
if (mpfr_cmp_d (temp, param.max_x) > 0)
test=0;
}
}
}
prec = ( (param.logarithmic_scale_prec) ? (prec * incr_prec)
: (prec + incr_prec) );
fprintf (output, "\n");
}
free (t);
mpfr_clear (incr_x);
mpfr_clear (x);
mpfr_clear (x2);
mpfr_clear (temp);
return;
}
static void
special (void)
{
mpfr_t x, y, z;
int i;
mpfr_init (x);
mpfr_init (y);
MPFR_SET_INF(x);
mpfr_set_ui (y, 0, GMP_RNDN);
mpfr_atanh (x, y, GMP_RNDN);
if (MPFR_IS_INF(x) || MPFR_IS_NAN(x) )
{
printf ("Inf flag not clears in atanh!\n");
exit (1);
}
MPFR_SET_NAN(x);
mpfr_atanh (x, y, GMP_RNDN);
if (MPFR_IS_NAN(x) || MPFR_IS_INF(x))
{
printf ("NAN flag not clears in atanh!\n");
exit (1);
}
/* atanh(+/-x) = NaN if x > 1 */
for (i = 3; i <= 6; i++)
{
mpfr_set_si (x, i, GMP_RNDN);
mpfr_div_2ui (x, x, 1, GMP_RNDN);
mpfr_atanh (y, x, GMP_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error: mpfr_atanh(%d/2) <> NaN\n", i);
exit (1);
}
mpfr_neg (x, x, GMP_RNDN);
mpfr_atanh (y, x, GMP_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error: mpfr_atanh(-%d/2) <> NaN\n", i);
exit (1);
}
}
/* atanh(+0) = +0, atanh(-0) = -0 */
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_atanh (y, x, GMP_RNDN);
if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
{
printf ("Error: mpfr_atanh(+0) <> +0\n");
exit (1);
}
mpfr_neg (x, x, GMP_RNDN);
mpfr_atanh (y, x, GMP_RNDN);
if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0)
{
printf ("Error: mpfr_atanh(-0) <> -0\n");
exit (1);
}
MPFR_SET_NAN(x);
mpfr_atanh (y, x, GMP_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error: mpfr_atanh(NaN) <> NaN\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_atanh (y, x, GMP_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error: mpfr_atanh(+Inf) <> NaN\n");
mpfr_print_binary (y); printf ("\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_atanh (y, x, GMP_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error: mpfr_atanh(-Inf) <> NaN\n");
exit (1);
}
mpfr_set_ui (x, 1, GMP_RNDN);
mpfr_atanh (y, x, GMP_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error: mpfr_atanh(1) <> +Inf\n");
exit (1);
}
mpfr_set_si (x, -1, GMP_RNDN);
mpfr_atanh (y, x, GMP_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) > 0)
{
printf ("Error: mpfr_atanh(-1) <> -Inf\n");
exit (1);
}
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 32);
mpfr_set_str_binary (x, "0.10001000001001011000100001E-6");
mpfr_atanh (x, x, GMP_RNDN);
mpfr_set_str_binary (y, "0.10001000001001100101010110100001E-6");
if (mpfr_cmp (x, y))
{
printf ("Error: mpfr_atanh (1)\n");
exit (1);
}
mpfr_set_str_binary (x, "-0.1101011110111100111010011001011E-1");
mpfr_atanh (x, x, GMP_RNDN);
mpfr_set_str_binary (y, "-0.11100110000100001111101100010111E-1");
if (mpfr_cmp (x, y))
{
printf ("Error: mpfr_atanh (2)\n");
exit (1);
}
mpfr_set_prec (x, 33);
mpfr_set_prec (y, 43);
mpfr_set_str_binary (x, "0.111001101100000110011001010000101");
mpfr_atanh (y, x, GMP_RNDZ);
mpfr_init2 (z, 43);
mpfr_set_str_binary (z, "1.01111010110001101001000000101101011110101");
if (mpfr_cmp (y, z))
{
printf ("Error: mpfr_atanh (3)\n");
mpfr_print_binary (y); printf ("\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
}
int
main (int argc, char *argv[])
{
mpfr_t x, y;
mpfr_exp_t emin, emax;
int inex, ov;
tests_start_mpfr ();
special_overflow ();
emax_m_eps ();
exp_range ();
mpfr_init (x);
mpfr_init (y);
mpfr_set_ui (x, 4, MPFR_RNDN);
mpfr_exp10 (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 10000) != 0)
{
printf ("Error for 10^4, MPFR_RNDN\n");
exit (1);
}
mpfr_exp10 (y, x, MPFR_RNDD);
if (mpfr_cmp_ui (y, 10000) != 0)
{
printf ("Error for 10^4, MPFR_RNDD\n");
exit (1);
}
mpfr_exp10 (y, x, MPFR_RNDU);
if (mpfr_cmp_ui (y, 10000) != 0)
{
printf ("Error for 10^4, MPFR_RNDU\n");
exit (1);
}
mpfr_set_prec (x, 10);
mpfr_set_prec (y, 10);
/* save emin */
emin = mpfr_get_emin ();
set_emin (-11);
mpfr_set_si (x, -4, MPFR_RNDN);
mpfr_exp10 (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
{
printf ("Error for emin = -11, x = -4, RNDN\n");
printf ("Expected +0\n");
printf ("Got "); mpfr_print_binary (y); puts ("");
exit (1);
}
/* restore emin */
set_emin (emin);
/* save emax */
emax = mpfr_get_emax ();
set_emax (13);
mpfr_set_ui (x, 4, MPFR_RNDN);
mpfr_exp10 (y, x, MPFR_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error for emax = 13, x = 4, RNDN\n");
printf ("Expected +inf\n");
printf ("Got "); mpfr_print_binary (y); puts ("");
exit (1);
}
/* restore emax */
set_emax (emax);
MPFR_SET_INF (x);
MPFR_SET_POS (x);
mpfr_exp10 (y, x, MPFR_RNDN);
if (!MPFR_IS_INF (y))
{
printf ("evaluation of function in INF does not return INF\n");
exit (1);
}
MPFR_CHANGE_SIGN (x);
mpfr_exp10 (y, x, MPFR_RNDN);
if (!MPFR_IS_ZERO (y))
{
printf ("evaluation of function in -INF does not return 0\n");
exit (1);
}
MPFR_SET_NAN (x);
mpfr_exp10 (y, x, MPFR_RNDN);
if (!MPFR_IS_NAN (y))
{
printf ("evaluation of function in NaN does not return NaN\n");
exit (1);
}
if ((mpfr_uexp_t) 8 << 31 != 0 ||
mpfr_get_emax () <= (mpfr_uexp_t) 100000 * 100000)
{
/* emax <= 10000000000 */
mpfr_set_prec (x, 40);
mpfr_set_prec (y, 40);
mpfr_set_str (x, "3010299957", 10, MPFR_RNDN);
mpfr_clear_flags ();
inex = mpfr_exp10 (y, x, MPFR_RNDN);
ov = mpfr_overflow_p ();
if (!(MPFR_IS_INF (y) && MPFR_IS_POS (y) && ov))
{
printf ("Overflow error for x = 3010299957, MPFR_RNDN.\n");
mpfr_dump (y);
printf ("inex = %d, %soverflow\n", inex, ov ? "" : "no ");
exit (1);
}
}
test_generic (2, 100, 100);
mpfr_clear (x);
mpfr_clear (y);
overfl_exp10_0 ();
data_check ("data/exp10", mpfr_exp10, "mpfr_exp10");
tests_end_mpfr ();
return 0;
}
int
main (int argc, char *argv[])
{
mpfr_t x, y, z, s;
MPFR_SAVE_EXPO_DECL (expo);
tests_start_mpfr ();
mpfr_init (x);
mpfr_init (s);
mpfr_init (y);
mpfr_init (z);
/* check special cases */
mpfr_set_prec (x, 2);
mpfr_set_prec (y, 2);
mpfr_set_prec (z, 2);
mpfr_set_prec (s, 2);
mpfr_set_str (x, "-0.75", 10, MPFR_RNDN);
mpfr_set_str (y, "0.5", 10, MPFR_RNDN);
mpfr_set_str (z, "0.375", 10, MPFR_RNDN);
mpfr_fma (s, x, y, z, MPFR_RNDU); /* result is 0 */
if (mpfr_cmp_ui(s, 0))
{
printf("Error: -0.75 * 0.5 + 0.375 should be equal to 0 for prec=2\n");
exit(1);
}
mpfr_set_prec (x, 27);
mpfr_set_prec (y, 27);
mpfr_set_prec (z, 27);
mpfr_set_prec (s, 27);
mpfr_set_str_binary (x, "1.11111111111111111111111111e-1");
mpfr_set (y, x, MPFR_RNDN);
mpfr_set_str_binary (z, "-1.00011110100011001011001001e-1");
if (mpfr_fma (s, x, y, z, MPFR_RNDN) >= 0)
{
printf ("Wrong inexact flag for x=y=1-2^(-27)\n");
exit (1);
}
mpfr_set_nan (x);
mpfr_urandomb (y, RANDS);
mpfr_urandomb (z, RANDS);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_nan_p (s))
{
printf ("evaluation of function in x=NAN does not return NAN");
exit (1);
}
mpfr_set_nan (y);
mpfr_urandomb (x, RANDS);
mpfr_urandomb (z, RANDS);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_nan_p(s))
{
printf ("evaluation of function in y=NAN does not return NAN");
exit (1);
}
mpfr_set_nan (z);
mpfr_urandomb (y, RANDS);
mpfr_urandomb (x, RANDS);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_nan_p (s))
{
printf ("evaluation of function in z=NAN does not return NAN");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_set_inf (y, 1);
mpfr_set_inf (z, 1);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) < 0)
{
printf ("Error for (+inf) * (+inf) + (+inf)\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_set_inf (y, -1);
mpfr_set_inf (z, 1);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) < 0)
{
printf ("Error for (-inf) * (-inf) + (+inf)\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_set_inf (y, -1);
mpfr_set_inf (z, -1);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) > 0)
{
printf ("Error for (+inf) * (-inf) + (-inf)\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_set_inf (y, 1);
mpfr_set_inf (z, -1);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) > 0)
{
printf ("Error for (-inf) * (+inf) + (-inf)\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_set_ui (y, 0, MPFR_RNDN);
mpfr_urandomb (z, RANDS);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_nan_p (s))
{
printf ("evaluation of function in x=INF y=0 does not return NAN");
exit (1);
}
mpfr_set_inf (y, 1);
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_urandomb (z, RANDS);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_nan_p (s))
{
printf ("evaluation of function in x=0 y=INF does not return NAN");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_urandomb (y, RANDS); /* always positive */
mpfr_set_inf (z, -1);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_nan_p (s))
{
printf ("evaluation of function in x=INF y>0 z=-INF does not return NAN");
exit (1);
}
mpfr_set_inf (y, 1);
mpfr_urandomb (x, RANDS);
mpfr_set_inf (z, -1);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_nan_p (s))
{
printf ("evaluation of function in x>0 y=INF z=-INF does not return NAN");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_urandomb (y, RANDS);
mpfr_urandomb (z, RANDS);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) < 0)
{
printf ("evaluation of function in x=INF does not return INF");
exit (1);
}
mpfr_set_inf (y, 1);
mpfr_urandomb (x, RANDS);
mpfr_urandomb (z, RANDS);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) < 0)
{
printf ("evaluation of function in y=INF does not return INF");
exit (1);
}
mpfr_set_inf (z, 1);
mpfr_urandomb (x, RANDS);
mpfr_urandomb (y, RANDS);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) < 0)
{
printf ("evaluation of function in z=INF does not return INF");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_urandomb (y, RANDS);
mpfr_urandomb (z, RANDS);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (mpfr_cmp (s, z))
{
printf ("evaluation of function in x=0 does not return z\n");
exit (1);
}
mpfr_set_ui (y, 0, MPFR_RNDN);
mpfr_urandomb (x, RANDS);
mpfr_urandomb (z, RANDS);
mpfr_fma (s, x, y, z, MPFR_RNDN);
if (mpfr_cmp (s, z))
{
printf ("evaluation of function in y=0 does not return z\n");
exit (1);
}
{
mpfr_prec_t prec;
mpfr_t t, slong;
mpfr_rnd_t rnd;
int inexact, compare;
unsigned int n;
mpfr_prec_t p0=2, p1=200;
unsigned int N=200;
mpfr_init (t);
mpfr_init (slong);
/* generic test */
for (prec = p0; prec <= p1; prec++)
{
mpfr_set_prec (x, prec);
mpfr_set_prec (y, prec);
mpfr_set_prec (z, prec);
mpfr_set_prec (s, prec);
mpfr_set_prec (t, prec);
for (n=0; n<N; n++)
{
mpfr_urandomb (x, RANDS);
mpfr_urandomb (y, RANDS);
mpfr_urandomb (z, RANDS);
if (randlimb () % 2)
mpfr_neg (x, x, MPFR_RNDN);
if (randlimb () % 2)
mpfr_neg (y, y, MPFR_RNDN);
if (randlimb () % 2)
mpfr_neg (z, z, MPFR_RNDN);
rnd = RND_RAND ();
mpfr_set_prec (slong, 2 * prec);
if (mpfr_mul (slong, x, y, rnd))
{
printf ("x*y should be exact\n");
exit (1);
}
compare = mpfr_add (t, slong, z, rnd);
inexact = mpfr_fma (s, x, y, z, rnd);
if (mpfr_cmp (s, t))
{
printf ("results differ for x=");
mpfr_out_str (stdout, 2, prec, x, MPFR_RNDN);
printf (" y=");
mpfr_out_str (stdout, 2, prec, y, MPFR_RNDN);
printf (" z=");
mpfr_out_str (stdout, 2, prec, z, MPFR_RNDN);
printf (" prec=%u rnd_mode=%s\n", (unsigned int) prec,
mpfr_print_rnd_mode (rnd));
printf ("got ");
mpfr_out_str (stdout, 2, prec, s, MPFR_RNDN);
puts ("");
printf ("expected ");
mpfr_out_str (stdout, 2, prec, t, MPFR_RNDN);
puts ("");
printf ("approx ");
mpfr_print_binary (slong);
puts ("");
exit (1);
}
if (((inexact == 0) && (compare != 0)) ||
((inexact < 0) && (compare >= 0)) ||
((inexact > 0) && (compare <= 0)))
{
printf ("Wrong inexact flag for rnd=%s: expected %d, got %d\n",
mpfr_print_rnd_mode (rnd), compare, inexact);
printf (" x="); mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
printf (" y="); mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
printf (" z="); mpfr_out_str (stdout, 2, 0, z, MPFR_RNDN);
printf (" s="); mpfr_out_str (stdout, 2, 0, s, MPFR_RNDN);
printf ("\n");
exit (1);
}
}
}
mpfr_clear (t);
mpfr_clear (slong);
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (s);
test_exact ();
MPFR_SAVE_EXPO_MARK (expo);
test_overflow1 ();
test_overflow2 ();
test_underflow1 ();
test_underflow2 ();
MPFR_SAVE_EXPO_FREE (expo);
tests_end_mpfr ();
return 0;
}
int
Floating_sign (Floating* self)
{
return mpfr_sgn(*self->value);
}
static void
special (void)
{
mpfr_t x, y;
int inex;
mpfr_init (x);
mpfr_init (y);
mpfr_set_nan (x);
mpfr_gamma (y, x, MPFR_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for gamma(NaN)\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_gamma (y, x, MPFR_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for gamma(-Inf)\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_gamma (y, x, MPFR_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error for gamma(+Inf)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error for gamma(+0)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) > 0)
{
printf ("Error for gamma(-0)\n");
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 1))
{
printf ("Error for gamma(1)\n");
exit (1);
}
mpfr_set_si (x, -1, MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for gamma(-1)\n");
exit (1);
}
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
#define CHECK_X1 "1.0762904832837976166"
#define CHECK_Y1 "0.96134843256452096050"
mpfr_set_str (x, CHECK_X1, 10, MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDN);
mpfr_set_str (x, CHECK_Y1, 10, MPFR_RNDN);
if (mpfr_cmp (y, x))
{
printf ("mpfr_lngamma("CHECK_X1") is wrong:\n"
"expected ");
mpfr_print_binary (x); putchar ('\n');
printf ("got ");
mpfr_print_binary (y); putchar ('\n');
exit (1);
}
#define CHECK_X2 "9.23709516716202383435e-01"
#define CHECK_Y2 "1.0502315560291053398"
mpfr_set_str (x, CHECK_X2, 10, MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDN);
mpfr_set_str (x, CHECK_Y2, 10, MPFR_RNDN);
if (mpfr_cmp (y, x))
{
printf ("mpfr_lngamma("CHECK_X2") is wrong:\n"
"expected ");
mpfr_print_binary (x); putchar ('\n');
printf ("got ");
mpfr_print_binary (y); putchar ('\n');
exit (1);
}
mpfr_set_prec (x, 8);
mpfr_set_prec (y, 175);
mpfr_set_ui (x, 33, MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDU);
mpfr_set_prec (x, 175);
mpfr_set_str_binary (x, "0.110010101011010101101000010101010111000110011101001000101011000001100010111001101001011E118");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_gamma (1)\n");
exit (1);
}
mpfr_set_prec (x, 21);
mpfr_set_prec (y, 8);
mpfr_set_ui (y, 120, MPFR_RNDN);
mpfr_gamma (x, y, MPFR_RNDZ);
mpfr_set_prec (y, 21);
mpfr_set_str_binary (y, "0.101111101110100110110E654");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_gamma (120)\n");
printf ("Expected "); mpfr_print_binary (y); puts ("");
printf ("Got "); mpfr_print_binary (x); puts ("");
exit (1);
}
mpfr_set_prec (x, 3);
mpfr_set_prec (y, 206);
mpfr_set_str_binary (x, "0.110e10");
inex = mpfr_gamma (y, x, MPFR_RNDN);
mpfr_set_prec (x, 206);
mpfr_set_str_binary (x, "0.110111100001000001101010010001000111000100000100111000010011100011011111001100011110101000111101101100110001001100110100001001111110000101010000100100011100010011101110000001000010001100010000101001111E6250");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_gamma (768)\n");
exit (1);
}
if (inex <= 0)
{
printf ("Wrong flag for mpfr_gamma (768)\n");
exit (1);
}
/* worst case to exercise retry */
mpfr_set_prec (x, 1000);
mpfr_set_prec (y, 869);
mpfr_const_pi (x, MPFR_RNDN);
mpfr_gamma (y, x, MPFR_RNDN);
mpfr_set_prec (x, 4);
mpfr_set_prec (y, 4);
mpfr_set_str_binary (x, "-0.1100E-66");
mpfr_gamma (y, x, MPFR_RNDN);
mpfr_set_str_binary (x, "-0.1011E67");
if (mpfr_cmp (x, y))
{
printf ("Error for gamma(-0.1100E-66)\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
special (void)
{
mpfr_t x, y;
int inex;
mp_exp_t emin, emax;
emin = mpfr_get_emin ();
emax = mpfr_get_emax ();
mpfr_init2 (x, 53);
mpfr_init2 (y, 53);
/* Check special case: An overflow in const_pi could occurs! */
set_emin (-125);
set_emax (128);
mpfr_set_prec (y, 24*2);
mpfr_set_prec (x, 24);
mpfr_set_str_binary (x, "0.111110101010101011110101E0");
test_log (y, x, GMP_RNDN);
set_emin (emin);
set_emax (emax);
mpfr_set_prec (y, 53);
mpfr_set_prec (x, 53);
mpfr_set_ui (x, 3, GMP_RNDD);
test_log (y, x, GMP_RNDD);
if (mpfr_cmp_str1 (y, "1.09861228866810956"))
{
printf ("Error in mpfr_log(3) for GMP_RNDD\n");
exit (1);
}
/* check large precision */
mpfr_set_prec (x, 3322);
mpfr_set_prec (y, 3322);
mpfr_set_ui (x, 3, GMP_RNDN);
mpfr_sqrt (x, x, GMP_RNDN);
test_log (y, x, GMP_RNDN);
/* negative argument */
mpfr_set_si (x, -1, GMP_RNDN);
test_log (y, x, GMP_RNDN);
MPFR_ASSERTN(mpfr_nan_p (y));
/* infinite loop when */
set_emax (128);
mpfr_set_prec (x, 251);
mpfr_set_prec (y, 251);
mpfr_set_str_binary (x, "0.10010111000000000001101E8");
/* x = 4947981/32768, log(x) ~ 5.017282... */
test_log (y, x, GMP_RNDN);
set_emax (emax);
mpfr_set_ui (x, 0, GMP_RNDN);
inex = test_log (y, x, GMP_RNDN);
MPFR_ASSERTN (inex == 0);
MPFR_ASSERTN (mpfr_inf_p (y));
MPFR_ASSERTN (mpfr_sgn (y) < 0);
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_neg (x, x, GMP_RNDN);
inex = test_log (y, x, GMP_RNDN);
MPFR_ASSERTN (inex == 0);
MPFR_ASSERTN (mpfr_inf_p (y));
MPFR_ASSERTN (mpfr_sgn (y) < 0);
mpfr_clear (x);
mpfr_clear (y);
}
static PyObject *
GMPy_Real_Mod(PyObject *x, PyObject *y, CTXT_Object *context)
{
MPFR_Object *tempx = NULL, *tempy = NULL, *temp, *result;
CHECK_CONTEXT(context);
result = GMPy_MPFR_New(0, context);
temp = GMPy_MPFR_New(0, context);
if (!result || !temp) {
Py_XDECREF((PyObject*)result);
Py_XDECREF((PyObject*)temp);
return NULL;
}
if (IS_REAL(x) && IS_REAL(y)) {
tempx = GMPy_MPFR_From_Real(x, 1, context);
tempy = GMPy_MPFR_From_Real(y, 1, context);
if (!tempx || !tempy) {
SYSTEM_ERROR("could not convert Real to mpfr");
goto error;
}
if (mpfr_zero_p(tempy->f)) {
context->ctx.divzero = 1;
if (context->ctx.traps & TRAP_DIVZERO) {
GMPY_DIVZERO("mod() modulo by zero");
goto error;
}
}
if (mpfr_nan_p(tempx->f) || mpfr_nan_p(tempy->f) || mpfr_inf_p(tempx->f)) {
context->ctx.invalid = 1;
if (context->ctx.traps & TRAP_INVALID) {
GMPY_INVALID("mod() invalid operation");
goto error;
}
else {
mpfr_set_nan(result->f);
}
}
else if (mpfr_inf_p(tempy->f)) {
context->ctx.invalid = 1;
if (context->ctx.traps & TRAP_INVALID) {
GMPY_INVALID("mod() invalid operation");
goto error;
}
if (mpfr_signbit(tempy->f)) {
mpfr_set_inf(result->f, -1);
}
else {
result->rc = mpfr_set(result->f, tempx->f,
GET_MPFR_ROUND(context));
}
}
else {
mpfr_fmod(result->f, tempx->f, tempy->f, GET_MPFR_ROUND(context));
if (!mpfr_zero_p(result->f)) {
if ((mpfr_sgn(tempy->f) < 0) != (mpfr_sgn(result->f) < 0)) {
mpfr_add(result->f, result->f, tempy->f, GET_MPFR_ROUND(context));
}
}
else {
mpfr_copysign(result->f, result->f, tempy->f, GET_MPFR_ROUND(context));
}
Py_DECREF((PyObject*)temp);
}
GMPY_MPFR_CHECK_RANGE(result, context);
GMPY_MPFR_SUBNORMALIZE(result, context);
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
return (PyObject*)result;
}
Py_DECREF((PyObject*)temp);
Py_DECREF((PyObject*)result);
Py_RETURN_NOTIMPLEMENTED;
error:
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_DECREF((PyObject*)temp);
Py_DECREF((PyObject*)result);
return NULL;
}
int
main (int argc, char *argv[])
{
mpfr_t x, y;
mpfr_exp_t emin, emax;
tests_start_mpfr ();
special_overflow ();
emax_m_eps ();
exp_range ();
mpfr_init (x);
mpfr_init (y);
mpfr_set_ui (x, 4, MPFR_RNDN);
mpfr_exp2 (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 16) != 0)
{
printf ("Error for 2^4, MPFR_RNDN\n");
exit (1);
}
mpfr_exp2 (y, x, MPFR_RNDD);
if (mpfr_cmp_ui (y, 16) != 0)
{
printf ("Error for 2^4, MPFR_RNDD\n");
exit (1);
}
mpfr_exp2 (y, x, MPFR_RNDU);
if (mpfr_cmp_ui (y, 16) != 0)
{
printf ("Error for 2^4, MPFR_RNDU\n");
exit (1);
}
mpfr_set_si (x, -4, MPFR_RNDN);
mpfr_exp2 (y, x, MPFR_RNDN);
if (mpfr_cmp_ui_2exp (y, 1, -4) != 0)
{
printf ("Error for 2^(-4), MPFR_RNDN\n");
exit (1);
}
mpfr_exp2 (y, x, MPFR_RNDD);
if (mpfr_cmp_ui_2exp (y, 1, -4) != 0)
{
printf ("Error for 2^(-4), MPFR_RNDD\n");
exit (1);
}
mpfr_exp2 (y, x, MPFR_RNDU);
if (mpfr_cmp_ui_2exp (y, 1, -4) != 0)
{
printf ("Error for 2^(-4), MPFR_RNDU\n");
exit (1);
}
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_str (x, /*-1683977482443233.0 / 2199023255552.0*/
"-7.6578429909351734750089235603809357e2", 10, MPFR_RNDN);
mpfr_exp2 (y, x, MPFR_RNDN);
if (mpfr_cmp_str1 (y, "2.991959870867646566478e-231"))
{
printf ("Error for x=-1683977482443233/2^41\n");
exit (1);
}
mpfr_set_prec (x, 10);
mpfr_set_prec (y, 10);
/* save emin */
emin = mpfr_get_emin ();
set_emin (-10);
mpfr_set_si (x, -12, MPFR_RNDN);
mpfr_exp2 (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
{
printf ("Error for x=emin-2, RNDN\n");
printf ("Expected +0\n");
printf ("Got "); mpfr_print_binary (y); puts ("");
exit (1);
}
/* restore emin */
set_emin (emin);
/* save emax */
emax = mpfr_get_emax ();
set_emax (10);
mpfr_set_ui (x, 11, MPFR_RNDN);
mpfr_exp2 (y, x, MPFR_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error for x=emax+1, RNDN\n");
exit (1);
}
/* restore emax */
set_emax (emax);
MPFR_SET_INF(x);
MPFR_SET_POS(x);
mpfr_exp2 (y, x, MPFR_RNDN);
if(!MPFR_IS_INF(y))
{
printf ("evaluation of function in INF does not return INF\n");
exit (1);
}
MPFR_CHANGE_SIGN(x);
mpfr_exp2 (y, x, MPFR_RNDN);
if(!MPFR_IS_ZERO(y))
{
printf ("evaluation of function in -INF does not return 0\n");
exit (1);
}
MPFR_SET_NAN(x);
mpfr_exp2 (y, x, MPFR_RNDN);
if(!MPFR_IS_NAN(y))
{
printf ("evaluation of function in NaN does not return NaN\n");
exit (1);
}
if ((mpfr_uexp_t) 8 << 31 != 0 ||
mpfr_get_emax () <= (mpfr_uexp_t) 100000 * 100000)
{
/* emax <= 10000000000 */
mpfr_set_prec (x, 40);
mpfr_set_prec (y, 40);
mpfr_set_str (x, "10000000000.5", 10, MPFR_RNDN);
mpfr_clear_flags ();
mpfr_exp2 (y, x, MPFR_RNDN);
if (!(MPFR_IS_INF (y) && MPFR_IS_POS (y) && mpfr_overflow_p ()))
{
printf ("exp2(10000000000.5) should overflow.\n");
exit (1);
}
}
mpfr_set_prec (x, 2);
mpfr_set_prec (y, 2);
mpfr_set_str_binary (x, "-1.0E-26");
mpfr_exp2 (y, x, MPFR_RNDD);
mpfr_set_str_binary (x, "1.1E-1");
if (mpfr_cmp (x, y))
{
printf ("Error for exp(-2^(-26)) for prec=2\n");
exit (1);
}
test_generic (2, 100, 100);
mpfr_clear (x);
mpfr_clear (y);
overflowed_exp2_0 ();
data_check ("data/exp2", mpfr_exp2, "mpfr_exp2");
tests_end_mpfr ();
return 0;
}
static void
special (void)
{
mpfr_t x, y;
mpfr_init (x);
mpfr_init (y);
/* cbrt(NaN) = NaN */
mpfr_set_nan (x);
mpfr_cbrt (y, x, GMP_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error: cbrt(NaN) <> NaN\n");
exit (1);
}
/* cbrt(+Inf) = +Inf */
mpfr_set_inf (x, 1);
mpfr_cbrt (y, x, GMP_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error: cbrt(+Inf) <> +Inf\n");
exit (1);
}
/* cbrt(-Inf) = -Inf */
mpfr_set_inf (x, -1);
mpfr_cbrt (y, x, GMP_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) > 0)
{
printf ("Error: cbrt(-Inf) <> -Inf\n");
exit (1);
}
/* cbrt(+/-0) = +/-0 */
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_cbrt (y, x, GMP_RNDN);
if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
{
printf ("Error: cbrt(+0) <> +0\n");
exit (1);
}
mpfr_neg (x, x, GMP_RNDN);
mpfr_cbrt (y, x, GMP_RNDN);
if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0)
{
printf ("Error: cbrt(-0) <> -0\n");
exit (1);
}
mpfr_set_prec (x, 53);
mpfr_set_str (x, "8.39005285514734966412e-01", 10, GMP_RNDN);
mpfr_cbrt (x, x, GMP_RNDN);
if (mpfr_cmp_str1 (x, "9.43166207799662426048e-01"))
{
printf ("Error in crbrt (1)\n");
exit (1);
}
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 32);
mpfr_set_str_binary (x, "0.10000100001100101001001001011001");
mpfr_cbrt (x, x, GMP_RNDN);
mpfr_set_str_binary (y, "0.11001101011000100111000111111001");
if (mpfr_cmp (x, y))
{
printf ("Error in cbrt (2)\n");
exit (1);
}
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 32);
mpfr_set_str_binary (x, "-0.1100001110110000010101011001011");
mpfr_cbrt (x, x, GMP_RNDD);
mpfr_set_str_binary (y, "-0.11101010000100100101000101011001");
if (mpfr_cmp (x, y))
{
printf ("Error in cbrt (3)\n");
exit (1);
}
mpfr_set_prec (x, 82);
mpfr_set_prec (y, 27);
mpfr_set_str_binary (x, "0.1010001111011101011011000111001011001101100011110110010011011011011010011001100101e-7");
mpfr_cbrt (y, x, GMP_RNDD);
mpfr_set_str_binary (x, "0.101011110001110001000100011E-2");
if (mpfr_cmp (x, y))
{
printf ("Error in cbrt (4)\n");
exit (1);
}
mpfr_set_prec (x, 204);
mpfr_set_prec (y, 38);
mpfr_set_str_binary (x, "0.101000000001101000000001100111111011111001110110100001111000100110100111001101100111110001110001011011010110010011100101111001111100001010010100111011101100000011011000101100010000000011000101001010001001E-5");
mpfr_cbrt (y, x, GMP_RNDD);
mpfr_set_str_binary (x, "0.10001001111010011011101000010110110010E-1");
if (mpfr_cmp (x, y))
{
printf ("Error in cbrt (5)\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
check_specials (void)
{
mpfr_t x, y;
mpfr_init2 (x, 123L);
mpfr_init2 (y, 123L);
mpfr_set_nan (x);
mpfr_eint (y, x, GMP_RNDN);
if (! mpfr_nan_p (y))
{
printf ("Error: eint(NaN) != NaN\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_eint (y, x, GMP_RNDN);
if (! (mpfr_inf_p (y) && mpfr_sgn (y) > 0))
{
printf ("Error: eint(+Inf) != +Inf\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_eint (y, x, GMP_RNDN);
if (! mpfr_nan_p (y))
{
printf ("Error: eint(-Inf) != NaN\n");
exit (1);
}
/* eint(+/-0) = -Inf */
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_eint (y, x, GMP_RNDN);
if (! (mpfr_inf_p (y) && mpfr_sgn (y) < 0))
{
printf ("Error: eint(+0) != -Inf\n");
exit (1);
}
mpfr_neg (x, x, GMP_RNDN);
mpfr_eint (y, x, GMP_RNDN);
if (! (mpfr_inf_p (y) && mpfr_sgn (y) < 0))
{
printf ("Error: eint(-0) != -Inf\n");
exit (1);
}
/* eint(x) = NaN for x < 0 */
mpfr_set_si (x, -1, GMP_RNDN);
mpfr_eint (y, x, GMP_RNDN);
if (! mpfr_nan_p (y))
{
printf ("Error: eint(-1) != NaN\n");
exit (1);
}
mpfr_set_prec (x, 17);
mpfr_set_prec (y, 17);
mpfr_set_str_binary (x, "1.0111110100100110e-2");
mpfr_set_str_binary (y, "-1.0010101001110100e-10");
mpfr_eint (x, x, GMP_RNDZ);
if (mpfr_cmp (x, y))
{
printf ("Error for x=1.0111110100100110e-2, GMP_RNDZ\n");
printf ("expected "); mpfr_dump (y);
printf ("got "); mpfr_dump (x);
exit (1);
}
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_str_binary (x, "0.10E4");
mpfr_eint (x, x, GMP_RNDN);
mpfr_set_str (y, "440.37989953483827", 10, GMP_RNDN);
if (mpfr_cmp (x, y) != 0)
{
printf ("Error for x=0.10E4, GMP_RNDZ\n");
printf ("expected "); mpfr_dump (y);
printf ("got "); mpfr_dump (x);
exit (1);
}
mpfr_set_prec (x, 63);
mpfr_set_prec (y, 63);
mpfr_set_str_binary (x, "1.01111101011100111000011010001000101101011000011001111101011010e-2");
mpfr_eint (x, x, GMP_RNDZ);
mpfr_set_str_binary (y, "1.11010110001101000001010010000100001111001000100100000001011100e-17");
if (mpfr_cmp (x, y) != 0)
{
printf ("Error (1) for GMP_RNDZ\n");
printf ("expected "); mpfr_dump (y);
printf ("got "); mpfr_dump (x);
exit (1);
}
/* check large x */
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_str_binary (x, "1E6");
mpfr_eint (x, x, GMP_RNDN);
mpfr_set_str_binary (y, "10100011110001101001110000110010111000100111010001E37");
if (mpfr_cmp (x, y) != 0)
{
printf ("Error for x=2^6, GMP_RNDN\n");
printf ("expected "); mpfr_dump (y);
printf ("got "); mpfr_dump (x);
exit (1);
}
mpfr_set_str_binary (x, "1E7");
mpfr_eint (x, x, GMP_RNDN);
mpfr_set_str_binary (y, "11001100100011110000101001011010110111111011110011E128");
if (mpfr_cmp (x, y) != 0)
{
printf ("Error for x=2^7, GMP_RNDN\n");
printf ("expected "); mpfr_dump (y);
printf ("got "); mpfr_dump (x);
exit (1);
}
mpfr_set_str_binary (x, "1E8");
mpfr_eint (x, x, GMP_RNDN);
mpfr_set_str_binary (y, "1010000110000101111111011011000101001000101011101001E310");
if (mpfr_cmp (x, y) != 0)
{
printf ("Error for x=2^8, GMP_RNDN\n");
printf ("expected "); mpfr_dump (y);
printf ("got "); mpfr_dump (x);
exit (1);
}
mpfr_set_str_binary (x, "1E9");
mpfr_eint (x, x, GMP_RNDN);
mpfr_set_str_binary (y, "11001010101000001010101101110000010110011101110010101E677");
if (mpfr_cmp (x, y) != 0)
{
printf ("Error for x=2^9, GMP_RNDN\n");
printf ("expected "); mpfr_dump (y);
printf ("got "); mpfr_dump (x);
exit (1);
}
mpfr_set_str_binary (x, "1E10");
mpfr_eint (x, x, GMP_RNDN);
mpfr_set_str_binary (y, "10011111111010010110110101101000101100101010101101101E1415");
if (mpfr_cmp (x, y) != 0)
{
printf ("Error for x=2^10, GMP_RNDN\n");
printf ("expected "); mpfr_dump (y);
printf ("got "); mpfr_dump (x);
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
special (void)
{
mpfr_t x, y;
int inex;
mpfr_init (x);
mpfr_init (y);
mpfr_set_nan (x);
mpfr_lngamma (y, x, MPFR_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for lngamma(NaN)\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_lngamma (y, x, MPFR_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for lngamma(-Inf)\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_lngamma (y, x, MPFR_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error for lngamma(+Inf)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_lngamma (y, x, MPFR_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error for lngamma(+0)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN);
mpfr_lngamma (y, x, MPFR_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for lngamma(-0)\n");
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_lngamma (y, x, MPFR_RNDN);
if (MPFR_IS_NAN (y) || mpfr_cmp_ui (y, 0) || MPFR_IS_NEG (y))
{
printf ("Error for lngamma(1)\n");
exit (1);
}
mpfr_set_si (x, -1, MPFR_RNDN);
mpfr_lngamma (y, x, MPFR_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for lngamma(-1)\n");
exit (1);
}
mpfr_set_ui (x, 2, MPFR_RNDN);
mpfr_lngamma (y, x, MPFR_RNDN);
if (MPFR_IS_NAN (y) || mpfr_cmp_ui (y, 0) || MPFR_IS_NEG (y))
{
printf ("Error for lngamma(2)\n");
exit (1);
}
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
#define CHECK_X1 "1.0762904832837976166"
#define CHECK_Y1 "-0.039418362817587634939"
mpfr_set_str (x, CHECK_X1, 10, MPFR_RNDN);
mpfr_lngamma (y, x, MPFR_RNDN);
mpfr_set_str (x, CHECK_Y1, 10, MPFR_RNDN);
if (MPFR_IS_NAN (y) || mpfr_cmp (y, x))
{
printf ("mpfr_lngamma("CHECK_X1") is wrong:\n"
"expected ");
mpfr_print_binary (x); putchar ('\n');
printf ("got ");
mpfr_print_binary (y); putchar ('\n');
exit (1);
}
#define CHECK_X2 "9.23709516716202383435e-01"
#define CHECK_Y2 "0.049010669407893718563"
mpfr_set_str (x, CHECK_X2, 10, MPFR_RNDN);
mpfr_lngamma (y, x, MPFR_RNDN);
mpfr_set_str (x, CHECK_Y2, 10, MPFR_RNDN);
if (MPFR_IS_NAN (y) || mpfr_cmp (y, x))
{
printf ("mpfr_lngamma("CHECK_X2") is wrong:\n"
"expected ");
mpfr_print_binary (x); putchar ('\n');
printf ("got ");
mpfr_print_binary (y); putchar ('\n');
exit (1);
}
mpfr_set_prec (x, 8);
mpfr_set_prec (y, 175);
mpfr_set_ui (x, 33, MPFR_RNDN);
mpfr_lngamma (y, x, MPFR_RNDU);
mpfr_set_prec (x, 175);
mpfr_set_str_binary (x, "0.1010001100011101101011001101110010100001000001000001110011000001101100001111001001000101011011100100010101011110100111110101010100010011010010000101010111001100011000101111E7");
if (MPFR_IS_NAN (y) || mpfr_cmp (x, y))
{
printf ("Error in mpfr_lngamma (1)\n");
exit (1);
}
mpfr_set_prec (x, 21);
mpfr_set_prec (y, 8);
mpfr_set_ui (y, 120, MPFR_RNDN);
mpfr_lngamma (x, y, MPFR_RNDZ);
mpfr_set_prec (y, 21);
mpfr_set_str_binary (y, "0.111000101000001100101E9");
if (MPFR_IS_NAN (x) || mpfr_cmp (x, y))
{
printf ("Error in mpfr_lngamma (120)\n");
printf ("Expected "); mpfr_print_binary (y); puts ("");
printf ("Got "); mpfr_print_binary (x); puts ("");
exit (1);
}
mpfr_set_prec (x, 3);
mpfr_set_prec (y, 206);
mpfr_set_str_binary (x, "0.110e10");
inex = mpfr_lngamma (y, x, MPFR_RNDN);
mpfr_set_prec (x, 206);
mpfr_set_str_binary (x, "0.10000111011000000011100010101001100110001110000111100011000100100110110010001011011110101001111011110110000001010100111011010000000011100110110101100111000111010011110010000100010111101010001101000110101001E13");
if (MPFR_IS_NAN (y) || mpfr_cmp (x, y))
{
printf ("Error in mpfr_lngamma (768)\n");
exit (1);
}
if (inex >= 0)
{
printf ("Wrong flag for mpfr_lngamma (768)\n");
exit (1);
}
mpfr_set_prec (x, 4);
mpfr_set_prec (y, 4);
mpfr_set_str_binary (x, "0.1100E-66");
mpfr_lngamma (y, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.1100E6");
if (MPFR_IS_NAN (y) || mpfr_cmp (x, y))
{
printf ("Error for lngamma(0.1100E-66)\n");
exit (1);
}
mpfr_set_prec (x, 256);
mpfr_set_prec (y, 32);
mpfr_set_si_2exp (x, -1, 200, MPFR_RNDN);
mpfr_add_ui (x, x, 1, MPFR_RNDN);
mpfr_div_2ui (x, x, 1, MPFR_RNDN);
mpfr_lngamma (y, x, MPFR_RNDN);
mpfr_set_prec (x, 32);
mpfr_set_str_binary (x, "-0.10001000111011111011000010100010E207");
if (MPFR_IS_NAN (y) || mpfr_cmp (x, y))
{
printf ("Error for lngamma(-2^199+0.5)\n");
printf ("Got ");
mpfr_dump (y);
printf ("instead of ");
mpfr_dump (x);
exit (1);
}
mpfr_set_prec (x, 256);
mpfr_set_prec (y, 32);
mpfr_set_si_2exp (x, -1, 200, MPFR_RNDN);
mpfr_sub_ui (x, x, 1, MPFR_RNDN);
mpfr_div_2ui (x, x, 1, MPFR_RNDN);
mpfr_lngamma (y, x, MPFR_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for lngamma(-2^199-0.5)\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
check_special (void)
{
mpfr_t a, d, q;
mpfr_exp_t emax, emin;
int i;
mpfr_init2 (a, 100L);
mpfr_init2 (d, 100L);
mpfr_init2 (q, 100L);
/* 1/nan == nan */
mpfr_set_ui (a, 1L, MPFR_RNDN);
MPFR_SET_NAN (d);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_NAN);
/* nan/1 == nan */
MPFR_SET_NAN (a);
mpfr_set_ui (d, 1L, MPFR_RNDN);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_NAN);
/* +inf/1 == +inf */
MPFR_SET_INF (a);
MPFR_SET_POS (a);
mpfr_set_ui (d, 1L, MPFR_RNDN);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q));
MPFR_ASSERTN (mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* +inf/-1 == -inf */
MPFR_SET_INF (a);
MPFR_SET_POS (a);
mpfr_set_si (d, -1, MPFR_RNDN);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q));
MPFR_ASSERTN (mpfr_sgn (q) < 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* -inf/1 == -inf */
MPFR_SET_INF (a);
MPFR_SET_NEG (a);
mpfr_set_ui (d, 1L, MPFR_RNDN);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q));
MPFR_ASSERTN (mpfr_sgn (q) < 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* -inf/-1 == +inf */
MPFR_SET_INF (a);
MPFR_SET_NEG (a);
mpfr_set_si (d, -1, MPFR_RNDN);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q));
MPFR_ASSERTN (mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* 1/+inf == +0 */
mpfr_set_ui (a, 1L, MPFR_RNDN);
MPFR_SET_INF (d);
MPFR_SET_POS (d);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_number_p (q));
MPFR_ASSERTN (mpfr_sgn (q) == 0);
MPFR_ASSERTN (MPFR_IS_POS (q));
MPFR_ASSERTN (__gmpfr_flags == 0);
/* 1/-inf == -0 */
mpfr_set_ui (a, 1L, MPFR_RNDN);
MPFR_SET_INF (d);
MPFR_SET_NEG (d);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_number_p (q));
MPFR_ASSERTN (mpfr_sgn (q) == 0);
MPFR_ASSERTN (MPFR_IS_NEG (q));
MPFR_ASSERTN (__gmpfr_flags == 0);
/* -1/+inf == -0 */
mpfr_set_si (a, -1, MPFR_RNDN);
MPFR_SET_INF (d);
MPFR_SET_POS (d);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_number_p (q));
MPFR_ASSERTN (mpfr_sgn (q) == 0);
MPFR_ASSERTN (MPFR_IS_NEG (q));
MPFR_ASSERTN (__gmpfr_flags == 0);
/* -1/-inf == +0 */
mpfr_set_si (a, -1, MPFR_RNDN);
MPFR_SET_INF (d);
MPFR_SET_NEG (d);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_number_p (q));
MPFR_ASSERTN (mpfr_sgn (q) == 0);
MPFR_ASSERTN (MPFR_IS_POS (q));
MPFR_ASSERTN (__gmpfr_flags == 0);
/* 0/0 == nan */
mpfr_set_ui (a, 0L, MPFR_RNDN);
mpfr_set_ui (d, 0L, MPFR_RNDN);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_NAN);
/* +inf/+inf == nan */
MPFR_SET_INF (a);
MPFR_SET_POS (a);
MPFR_SET_INF (d);
MPFR_SET_POS (d);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_NAN);
/* 1/+0 = +inf */
mpfr_set_ui (a, 1, MPFR_RNDZ);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_DIVBY0);
/* 1/-0 = -inf */
mpfr_set_ui (a, 1, MPFR_RNDZ);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_neg (d, d, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) < 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_DIVBY0);
/* -1/+0 = -inf */
mpfr_set_si (a, -1, MPFR_RNDZ);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) < 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_DIVBY0);
/* -1/-0 = +inf */
mpfr_set_si (a, -1, MPFR_RNDZ);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_neg (d, d, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_DIVBY0);
/* +inf/+0 = +inf */
MPFR_SET_INF (a);
MPFR_SET_POS (a);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* +inf/-0 = -inf */
MPFR_SET_INF (a);
MPFR_SET_POS (a);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_neg (d, d, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) < 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* -inf/+0 = -inf */
MPFR_SET_INF (a);
MPFR_SET_NEG (a);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) < 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* -inf/-0 = +inf */
MPFR_SET_INF (a);
MPFR_SET_NEG (a);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_neg (d, d, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* check overflow */
emax = mpfr_get_emax ();
set_emax (1);
mpfr_set_ui (a, 1, MPFR_RNDZ);
mpfr_set_ui (d, 1, MPFR_RNDZ);
mpfr_div_2exp (d, d, 1, MPFR_RNDZ);
mpfr_clear_flags ();
test_div (q, a, d, MPFR_RNDU); /* 1 / 0.5 = 2 -> overflow */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == (MPFR_FLAGS_OVERFLOW | MPFR_FLAGS_INEXACT));
set_emax (emax);
/* check underflow */
emin = mpfr_get_emin ();
set_emin (-1);
mpfr_set_ui (a, 1, MPFR_RNDZ);
mpfr_div_2exp (a, a, 2, MPFR_RNDZ);
mpfr_set_prec (d, mpfr_get_prec (q) + 8);
for (i = -1; i <= 1; i++)
{
int sign;
/* Test 2^(-2) / (+/- (2 + eps)), with eps < 0, eps = 0, eps > 0.
-> underflow.
With div.c r5513, this test fails for eps > 0 in MPFR_RNDN. */
mpfr_set_ui (d, 2, MPFR_RNDZ);
if (i < 0)
mpfr_nextbelow (d);
if (i > 0)
mpfr_nextabove (d);
for (sign = 0; sign <= 1; sign++)
{
mpfr_clear_flags ();
test_div (q, a, d, MPFR_RNDZ); /* result = 0 */
MPFR_ASSERTN (__gmpfr_flags ==
(MPFR_FLAGS_UNDERFLOW | MPFR_FLAGS_INEXACT));
MPFR_ASSERTN (sign ? MPFR_IS_NEG (q) : MPFR_IS_POS (q));
MPFR_ASSERTN (MPFR_IS_ZERO (q));
mpfr_clear_flags ();
test_div (q, a, d, MPFR_RNDN); /* result = 0 iff eps >= 0 */
MPFR_ASSERTN (__gmpfr_flags ==
(MPFR_FLAGS_UNDERFLOW | MPFR_FLAGS_INEXACT));
MPFR_ASSERTN (sign ? MPFR_IS_NEG (q) : MPFR_IS_POS (q));
if (i < 0)
mpfr_nexttozero (q);
MPFR_ASSERTN (MPFR_IS_ZERO (q));
mpfr_neg (d, d, MPFR_RNDN);
}
}
set_emin (emin);
mpfr_clear (a);
mpfr_clear (d);
mpfr_clear (q);
}
static void
special (void)
{
mpfr_t x, y;
int i;
mpfr_init (x);
mpfr_init (y);
mpfr_set_nan (x);
test_expm1 (y, x, MPFR_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for expm1(NaN)\n");
exit (1);
}
mpfr_set_inf (x, 1);
test_expm1 (y, x, MPFR_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error for expm1(+Inf)\n");
exit (1);
}
mpfr_set_inf (x, -1);
test_expm1 (y, x, MPFR_RNDN);
if (mpfr_cmp_si (y, -1))
{
printf ("Error for expm1(-Inf)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN);
test_expm1 (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
{
printf ("Error for expm1(+0)\n");
exit (1);
}
mpfr_neg (x, x, MPFR_RNDN);
test_expm1 (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0)
{
printf ("Error for expm1(-0)\n");
exit (1);
}
/* Check overflow of expm1(x) */
mpfr_clear_flags ();
mpfr_set_str_binary (x, "1.1E1000000000");
i = test_expm1 (x, x, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_SIGN (x) > 0);
MPFR_ASSERTN (mpfr_overflow_p ());
MPFR_ASSERTN (i == 1);
mpfr_clear_flags ();
mpfr_set_str_binary (x, "1.1E1000000000");
i = test_expm1 (x, x, MPFR_RNDU);
MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_SIGN (x) > 0);
MPFR_ASSERTN (mpfr_overflow_p ());
MPFR_ASSERTN (i == 1);
mpfr_clear_flags ();
mpfr_set_str_binary (x, "1.1E1000000000");
i = test_expm1 (x, x, MPFR_RNDD);
MPFR_ASSERTN (!MPFR_IS_INF (x) && MPFR_SIGN (x) > 0);
MPFR_ASSERTN (mpfr_overflow_p ());
MPFR_ASSERTN (i == -1);
/* Check internal underflow of expm1 (x) */
mpfr_set_prec (x, 2);
mpfr_clear_flags ();
mpfr_set_str_binary (x, "-1.1E1000000000");
i = test_expm1 (x, x, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_si (x, -1) == 0);
MPFR_ASSERTN (!mpfr_overflow_p () && !mpfr_underflow_p ());
MPFR_ASSERTN (i == -1);
mpfr_set_str_binary (x, "-1.1E1000000000");
i = test_expm1 (x, x, MPFR_RNDD);
MPFR_ASSERTN (mpfr_cmp_si (x, -1) == 0);
MPFR_ASSERTN (!mpfr_overflow_p () && !mpfr_underflow_p ());
MPFR_ASSERTN (i == -1);
mpfr_set_str_binary (x, "-1.1E1000000000");
i = test_expm1 (x, x, MPFR_RNDZ);
MPFR_ASSERTN (mpfr_cmp_str (x, "-0.11", 2, MPFR_RNDN) == 0);
MPFR_ASSERTN (!mpfr_overflow_p () && !mpfr_underflow_p ());
MPFR_ASSERTN (i == 1);
mpfr_set_str_binary (x, "-1.1E1000000000");
i = test_expm1 (x, x, MPFR_RNDU);
MPFR_ASSERTN (mpfr_cmp_str (x, "-0.11", 2, MPFR_RNDN) == 0);
MPFR_ASSERTN (!mpfr_overflow_p () && !mpfr_underflow_p ());
MPFR_ASSERTN (i == 1);
mpfr_clear (x);
mpfr_clear (y);
}
static void
check_special (void)
{
mpfr_t x, y, m;
mpfr_init2 (x, 123L);
mpfr_init2 (y, 123L);
mpfr_init2 (m, 123L);
/* agm(1,nan) is NaN */
mpfr_set_ui (x, 1L, MPFR_RNDN);
mpfr_set_nan (y);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
mpfr_agm (m, y, x, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
/* agm(1,+inf) == +inf */
mpfr_set_ui (x, 1L, MPFR_RNDN);
mpfr_set_inf (y, 1);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_inf_p (m));
MPFR_ASSERTN (mpfr_sgn (m) > 0);
mpfr_agm (m, y, x, MPFR_RNDN);
MPFR_ASSERTN (mpfr_inf_p (m));
MPFR_ASSERTN (mpfr_sgn (m) > 0);
/* agm(+inf,+inf) == +inf */
mpfr_set_inf (x, 1);
mpfr_set_inf (y, 1);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_inf_p (m));
MPFR_ASSERTN (mpfr_sgn (m) > 0);
/* agm(-inf,+inf) is NaN */
mpfr_set_inf (x, -1);
mpfr_set_inf (y, 1);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
mpfr_agm (m, y, x, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
/* agm(+0,+inf) is NaN */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_set_inf (y, 1);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
mpfr_agm (m, y, x, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
/* agm(-0,+inf) is NaN */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN);
mpfr_set_inf (y, 1);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
mpfr_agm (m, y, x, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
/* agm(+0,-inf) is NaN */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_set_inf (y, -1);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
mpfr_agm (m, y, x, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
/* agm(-0,-inf) is NaN */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN);
mpfr_set_inf (y, -1);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
mpfr_agm (m, y, x, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
/* agm(+0,1) == +0 */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m));
mpfr_agm (m, y, x, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m));
/* agm(-0,1) == +0 */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN);
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m));
mpfr_agm (m, y, x, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m));
/* agm(+0,-1) == +0 */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_set_si (y, -1, MPFR_RNDN);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m));
mpfr_agm (m, y, x, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m));
/* agm(-0,-1) == +0 */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN);
mpfr_set_si (y, -1, MPFR_RNDN);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m));
mpfr_agm (m, y, x, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m));
/* agm(-0,+0) == +0 */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN);
mpfr_set_ui (y, 0, MPFR_RNDN);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m));
mpfr_agm (m, y, x, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m));
/* agm(1,1) == 1 */
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_ui (m ,1) == 0);
/* agm(-1,-2) is NaN */
mpfr_set_si (x, -1, MPFR_RNDN);
mpfr_set_si (y, -2, MPFR_RNDN);
mpfr_agm (m, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
mpfr_agm (m, y, x, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (m));
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (m);
}
bool
Floating_is_positive (Floating* self)
{
return mpfr_sgn(*self->value) > 0;
}
int
main (int argc, char *argv[])
{
mpfr_t x, y;
unsigned long k, bd, nc, i;
char *str, *str2;
mp_exp_t e;
int base, logbase, prec, baseprec, ret;
tests_start_mpfr ();
if (argc >= 2) /* tset_str <string> [<prec>] [<base>] */
{
prec = (argc >= 3) ? atoi (argv[2]) : 53;
base = (argc >= 4) ? atoi (argv[3]) : 2;
mpfr_init2 (x, prec);
mpfr_set_str (x, argv[1], base, GMP_RNDN);
mpfr_out_str (stdout, 10, 0, x, GMP_RNDN);
puts ("");
mpfr_clear (x);
return 0;
}
mpfr_init2 (x, 2);
nc = (argc > 1) ? atoi(argv[1]) : 53;
if (nc < 100)
nc = 100;
bd = randlimb () & 8;
str2 = str = (char*) (*__gmp_allocate_func) (nc * sizeof(char));
if (bd)
{
for(k = 1; k <= bd; k++)
*(str2++) = (randlimb () & 1) + '0';
}
else
*(str2++) = '0';
*(str2++) = '.';
for (k = 1; k < nc - 17 - bd; k++)
*(str2++) = '0' + (char) (randlimb () & 1);
*(str2++) = 'e';
sprintf (str2, "%d", (int) (randlimb () & INT_MAX) + INT_MIN/2);
mpfr_set_prec (x, nc + 10);
mpfr_set_str_binary (x, str);
mpfr_set_prec (x, 54);
mpfr_set_str_binary (x, "0.100100100110110101001010010101111000001011100100101010E-529");
mpfr_init2 (y, 54);
mpfr_set_str (y, "4.936a52bc17254@-133", 16, GMP_RNDN);
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (1a):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_str_binary (x, "0.111111101101110010111010100110000111011001010100001101E-529");
mpfr_set_str (y, "0.fedcba98765434P-529", 16, GMP_RNDN);
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (1b):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
(*__gmp_free_func) (str, nc * sizeof(char));
mpfr_set_prec (x, 53);
mpfr_set_str_binary (x, "+110101100.01010000101101000000100111001000101011101110E00");
mpfr_set_str_binary (x, "1.0");
if (mpfr_cmp_ui (x, 1))
{
printf ("Error in mpfr_set_str_binary for s=1.0\n");
mpfr_clear(x);
mpfr_clear(y);
exit(1);
}
mpfr_set_str_binary (x, "+0000");
mpfr_set_str_binary (x, "+0000E0");
mpfr_set_str_binary (x, "0000E0");
if (mpfr_cmp_ui (x, 0))
{
printf ("Error in mpfr_set_str_binary for s=0.0\n");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_str (x, "+243495834958.53452345E1", 10, GMP_RNDN);
mpfr_set_str (x, "9007199254740993", 10, GMP_RNDN);
mpfr_set_str (x, "9007199254740992", 10, GMP_RNDU);
mpfr_set_str (x, "9007199254740992", 10, GMP_RNDD);
mpfr_set_str (x, "9007199254740992", 10, GMP_RNDZ);
/* check a random number printed and read is not modified */
prec = 53;
mpfr_set_prec (x, prec);
mpfr_set_prec (y, prec);
for (i=0;i<N;i++)
{
mpfr_random (x);
k = RND_RAND ();
logbase = (randlimb () % 5) + 1;
base = 1 << logbase;
/* Warning: the number of bits needed to print exactly a number of
'prec' bits in base 2^logbase may be greater than ceil(prec/logbase),
for example 0.11E-1 in base 2 cannot be written exactly with only
one digit in base 4 */
if (base == 2)
baseprec = prec;
else
baseprec = 1 + (prec - 2 + logbase) / logbase;
str = mpfr_get_str (NULL, &e, base, baseprec, x, (mp_rnd_t) k);
mpfr_set_str (y, str, base, (mp_rnd_t) k);
MPFR_EXP(y) += logbase * (e - strlen (str));
if (mpfr_cmp (x, y))
{
printf ("mpfr_set_str o mpfr_get_str <> id for rnd_mode=%s\n",
mpfr_print_rnd_mode ((mp_rnd_t) k));
printf ("x=");
mpfr_print_binary (x);
puts ("");
printf ("s=%s, exp=%d, base=%d\n", str, (int) e, base);
printf ("y=");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
(*__gmp_free_func) (str, strlen (str) + 1);
}
for (i = 2; i <= 36; i++)
{
if (mpfr_set_str (x, "@NaN@(garbage)", i, GMP_RNDN) != 0 ||
!mpfr_nan_p(x))
{
printf ("mpfr_set_str failed on @NaN@(garbage)\n");
exit (1);
}
/*
if (mpfr_set_str (x, "@Inf@garbage", i, GMP_RNDN) != 0 ||
!mpfr_inf_p(x) || MPFR_SIGN(x) < 0)
{
printf ("mpfr_set_str failed on @Inf@garbage\n");
exit (1);
}
if (mpfr_set_str (x, "-@Inf@garbage", i, GMP_RNDN) != 0 ||
!mpfr_inf_p(x) || MPFR_SIGN(x) > 0)
{
printf ("mpfr_set_str failed on -@Inf@garbage\n");
exit (1);
}
if (mpfr_set_str (x, "+@Inf@garbage", i, GMP_RNDN) != 0 ||
!mpfr_inf_p(x) || MPFR_SIGN(x) < 0)
{
printf ("mpfr_set_str failed on +@Inf@garbage\n");
exit (1);
}
*/
if (i > 16)
continue;
if (mpfr_set_str (x, "NaN", i, GMP_RNDN) != 0 ||
!mpfr_nan_p(x))
{
printf ("mpfr_set_str failed on NaN\n");
exit (1);
}
if (mpfr_set_str (x, "Inf", i, GMP_RNDN) != 0 ||
!mpfr_inf_p(x) || MPFR_SIGN(x) < 0)
{
printf ("mpfr_set_str failed on Inf\n");
exit (1);
}
if (mpfr_set_str (x, "-Inf", i, GMP_RNDN) != 0 ||
!mpfr_inf_p(x) || MPFR_SIGN(x) > 0)
{
printf ("mpfr_set_str failed on -Inf\n");
exit (1);
}
if (mpfr_set_str (x, "+Inf", i, GMP_RNDN) != 0 ||
!mpfr_inf_p(x) || MPFR_SIGN(x) < 0)
{
printf ("mpfr_set_str failed on +Inf\n");
exit (1);
}
}
/* check that mpfr_set_str works for uppercase letters too */
mpfr_set_prec (x, 10);
mpfr_set_str (x, "B", 16, GMP_RNDN);
if (mpfr_cmp_ui (x, 11) != 0)
{
printf ("mpfr_set_str does not work for uppercase letters\n");
exit (1);
}
/* start of tests added by Alain Delplanque */
/* in this example an overflow can occur */
mpfr_set_prec (x, 64);
mpfr_set_prec (y, 64);
mpfr_set_str_binary (x, "1.0E-532");
mpfr_set_str (y, "0.71128279983522479470@-160", 10, GMP_RNDU);
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (2):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
/* in this example, I think there was a pb in the old function :
result of mpfr_set_str_old for the same number , but with more
precision is: 1.111111111110000000000000000111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100111000100001100000010101100111010e184
this result is the same as mpfr_set_str */
mpfr_set_prec (x, 64);
mpfr_set_prec (y, 64);
mpfr_set_str_binary (x, "1.111111111110000000000000000111111111111111111111111110000000001E184");
mpfr_set_str (y, "0.jo08hg31hc5mmpj5mjjmgn55p2h35g@39", 27, GMP_RNDU);
/* y = 49027884868983130654865109690613178467841148597221480052 */
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (3):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
/* not exact rounding in mpfr_set_str
same number with more precision is : 1.111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011011111101000001101110110010101101000010100110011101110010001110e195
this result is the same as mpfr_set_str */
/* problem was : can_round was call with GMP_RNDN round mode,
so can_round use an error : 1/2 * 2^err * ulp(y)
instead of 2^err * ulp(y)
I have increase err by 1 */
mpfr_set_prec (x, 64); /* it was round down instead of up */
mpfr_set_prec (y, 64);
mpfr_set_str_binary (x, "1.111111111111111111111111111000000000000000000000000000000000001e195");
mpfr_set_str (y, "0.6e23ekb6acgh96abk10b6c9f2ka16i@45", 21, GMP_RNDU);
/* y = 100433627392042473064661483711179345482301462325708736552078 */
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (4):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
/* may be an error in mpfr_set_str_old
with more precision : 1.111111100000001111110000000000011111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111101010001110111011000010111001011100110110e180 */
mpfr_set_prec (x, 64); /* it was round down instead of up */
mpfr_set_prec (y, 64);
mpfr_set_str_binary (x, "1.111111100000001111110000000000011111011111111111111111111111111e180");
mpfr_set_str (y, "0.10j8j2k82ehahha56390df0a1de030@41", 23, GMP_RNDZ);
/* y = 3053110535624388280648330929253842828159081875986159414 */
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (5):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_prec (x, 64);
mpfr_set_prec (y, 64);
mpfr_set_str (y, "0.jrchfhpp9en7hidqm9bmcofid9q3jg@39", 28, GMP_RNDU);
/* y = 196159429139499688661464718784226062699788036696626429952 */
mpfr_set_str_binary (x, "0.1111111111111111111111111111111000000000000011100000001111100001E187");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (6):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_prec (x, 64);
mpfr_set_prec (y, 64);
mpfr_set_str (y, "0.h148m5ld5cf8gk1kd70b6ege92g6ba@47", 24, GMP_RNDZ);
/* y = 52652933527468502324759448399183654588831274530295083078827114496 */
mpfr_set_str_binary (x, "0.1111111111111100000000001000000000000000000011111111111111101111E215");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (7):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
/* worst cases for rounding to nearest in double precision */
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_str (y, "5e125", 10, GMP_RNDN);
mpfr_set_str_binary (x, "0.10111101000101110110011000100000101001010000000111111E418");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (8):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_str (y, "69e267", 10, GMP_RNDN);
mpfr_set_str_binary (x, "0.10000101101111100101101100000110010011001010011011010E894");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (9):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_str (y, "623e100", 10, GMP_RNDN);
mpfr_set_str_binary (x, "0.10110010000001010011000101111001110101000001111011111E342");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (10):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_str (y, "3571e263", 10, GMP_RNDN);
mpfr_set_str_binary (x, "0.10110001001100100010011000110000111010100000110101010E886");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (11):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_str (y, "75569e-254", 10, GMP_RNDN);
mpfr_set_str_binary (x, "0.10101101001000110001011011001000111000110101010110011E-827");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (12):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_str (y, "920657e-23", 10, GMP_RNDN);
mpfr_set_str_binary (x, "0.10101001110101001100110000101110110111101111001101100E-56");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (13):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_str (y, "9210917e80", 10, GMP_RNDN);
mpfr_set_str_binary (x, "0.11101101000100011001000110100011111100110000000110010E289");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (14):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_str (y, "87575437e-309", 10, GMP_RNDN);
mpfr_set_str_binary (x, "0.11110000001110011001000000110000000100000010101101100E-1000");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (15):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_str (y, "245540327e122", 10, GMP_RNDN);
mpfr_set_str_binary (x, "0.10001101101100010001100011110000110001100010111001011E434");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (16):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_str (y, "491080654e122", 10, GMP_RNDN);
mpfr_set_str_binary (x, "0.10001101101100010001100011110000110001100010111001011E435");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (17):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
mpfr_set_str (y, "83356057653e193", 10, GMP_RNDN);
mpfr_set_str_binary (x, "0.10101010001001110011011011010111011100010101000011000E678");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_set_str (18):\n");
mpfr_print_binary (x);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
exit (1);
}
CHECK53(y, "83356057653e193", GMP_RNDN, x,
"0.10101010001001110011011011010111011100010101000011000E678",
18);
CHECK53(y, "619534293513e124", GMP_RNDN, x,
"0.10001000011000010000000110000001111111110000011110001e452",
19);
CHECK53(y, "3142213164987e-294", GMP_RNDN, x,
"0.11101001101000000100111011111101111001010001001101111e-935",
20);
CHECK53(y, "36167929443327e-159", GMP_RNDN, x,
"0.11100111001110111110000101011001100110010100011111100e-483",
21);
CHECK53(y, "904198236083175e-161", GMP_RNDN, x,
"0.11100111001110111110000101011001100110010100011111100e-485",
22);
CHECK53(y, "3743626360493413e-165", GMP_RNDN, x,
"0.11000100000100011101001010111101011011011111011111001e-496",
23);
CHECK53(y, "94080055902682397e-242", GMP_RNDN, x,
"0.10110010010011000000111100011100111100110011011001010e-747",
24);
CHECK53(y, "7e-303", GMP_RNDD, x,
"0.10011001100111001000100110001110001000110111110001011e-1003",
25);
CHECK53(y, "7e-303", GMP_RNDU, x,
"0.10011001100111001000100110001110001000110111110001100e-1003",
26);
CHECK53(y, "93e-234", GMP_RNDD, x,
"0.10010011110110010111001001111001000010000000001110101E-770",
27);
CHECK53(y, "93e-234", GMP_RNDU, x,
"0.10010011110110010111001001111001000010000000001110110E-770",
28);
CHECK53(y, "755e174", GMP_RNDD, x,
"0.10111110110010011000110010011111101111000111111000101E588",
29);
CHECK53(y, "755e174", GMP_RNDU, x,
"0.10111110110010011000110010011111101111000111111000110E588",
30);
CHECK53(y, "8699e-276", GMP_RNDD, x,
"0.10010110100101101111100100100011011101100110100101100E-903",
31);
CHECK53(y, "8699e-276", GMP_RNDU, x,
"0.10010110100101101111100100100011011101100110100101101E-903",
32);
CHECK53(y, "82081e41", GMP_RNDD, x,
"0.10111000000010000010111011111001111010100011111001011E153",
33);
CHECK53(y, "82081e41", GMP_RNDU, x,
"0.10111000000010000010111011111001111010100011111001100E153",
34);
CHECK53(y, "584169e229", GMP_RNDD, x,
"0.11101011001010111000001011001110111000111100110101010E780",
35);
CHECK53(y, "584169e229", GMP_RNDU, x,
"0.11101011001010111000001011001110111000111100110101011E780",
36);
CHECK53(y, "5783893e-128", GMP_RNDD, x,
"0.10011000111100000110011110000101100111110011101110100E-402",
37);
CHECK53(y, "5783893e-128", GMP_RNDU, x,
"0.10011000111100000110011110000101100111110011101110101E-402",
38);
CHECK53(y, "87575437e-310", GMP_RNDD, x,
"0.11000000001011100000110011110011010000000010001010110E-1003",
39);
CHECK53(y, "87575437e-310", GMP_RNDU, x,
"0.11000000001011100000110011110011010000000010001010111E-1003",
40);
CHECK53(y, "245540327e121", GMP_RNDD, x,
"0.11100010101101001111010010110100011100000100101000100E430",
41);
CHECK53(y, "245540327e121", GMP_RNDU, x,
"0.11100010101101001111010010110100011100000100101000101E430",
42);
CHECK53(y, "9078555839e-109", GMP_RNDD, x,
"0.11111110001010111010110000110011100110001010011101101E-329",
43);
CHECK53(y, "9078555839e-109", GMP_RNDU, x,
"0.11111110001010111010110000110011100110001010011101110E-329",
44);
CHECK53(y, "42333842451e201", GMP_RNDD, x,
"0.10000000110001001101000100110110111110101011101011111E704",
45);
CHECK53(y, "42333842451e201", GMP_RNDU, x,
"0.10000000110001001101000100110110111110101011101100000E704",
46);
CHECK53(y, "778380362293e218", GMP_RNDD, x,
"0.11001101010111000001001100001100110010000001010010010E764",
47);
CHECK53(y, "778380362293e218", GMP_RNDU, x,
"0.11001101010111000001001100001100110010000001010010011E764",
48);
CHECK53(y, "7812878489261e-179", GMP_RNDD, x,
"0.10010011011011010111001111011101111101101101001110100E-551",
49);
CHECK53(y, "7812878489261e-179", GMP_RNDU, x,
"0.10010011011011010111001111011101111101101101001110101E-551",
50);
CHECK53(y, "77003665618895e-73", GMP_RNDD, x,
"0.11000101111110111111001111111101001101111000000101001E-196",
51);
CHECK53(y, "77003665618895e-73", GMP_RNDU, x,
"0.11000101111110111111001111111101001101111000000101010E-196",
52);
CHECK53(y, "834735494917063e-300", GMP_RNDD, x,
"0.11111110001101100001001101111100010011001110111010001E-947",
53);
CHECK53(y, "834735494917063e-300", GMP_RNDU, x,
"0.11111110001101100001001101111100010011001110111010010E-947",
54);
CHECK53(y, "6182410494241627e-119", GMP_RNDD, x,
"0.10001101110010110010001011000010001000101110100000111E-342",
55);
CHECK53(y, "6182410494241627e-119", GMP_RNDU, x,
"0.10001101110010110010001011000010001000101110100001000E-342",
56);
CHECK53(y, "26153245263757307e49", GMP_RNDD, x,
"0.10011110111100000000001011011110101100010000011011110E218",
57);
CHECK53(y, "26153245263757307e49", GMP_RNDU, x,
"0.10011110111100000000001011011110101100010000011011111E218",
58);
/* to check this problem : I convert limb (10--0 or 101--1) into base b
with more than mp_bits_per_limb digits,
so when convert into base 2 I should have
the limb that I have choose */
/* this use mpfr_get_str */
{
size_t nb_digit = mp_bits_per_limb;
mp_limb_t check_limb[2] = {MPFR_LIMB_HIGHBIT, ~(MPFR_LIMB_HIGHBIT >> 1)};
int base[3] = {10, 16, 19};
mp_rnd_t rnd[3] = {GMP_RNDU, GMP_RNDN, GMP_RNDD};
int cbase, climb, crnd;
char *str;
mpfr_set_prec (x, mp_bits_per_limb); /* x and y have only one limb */
mpfr_set_prec (y, mp_bits_per_limb);
str = (char*) (*__gmp_allocate_func) (N + 20);
mpfr_set_ui (x, 1, GMP_RNDN); /* ensures that x is not NaN or Inf */
for (; nb_digit < N; nb_digit *= 10)
for (cbase = 0; cbase < 3; cbase++)
for (climb = 0; climb < 2; climb++)
for (crnd = 0; crnd < 3; crnd++)
{
char *str1;
mp_exp_t exp;
*(MPFR_MANT(x)) = check_limb[climb];
MPFR_EXP(x) = 0;
mpfr_get_str (str + 2, &exp, base[cbase],
nb_digit, x, rnd[crnd]);
str[0] = '-';
str[(str[2] == '-')] = '0';
str[(str[2] == '-') + 1] = '.';
for (str1 = str; *str1 != 0; str1++)
;
sprintf (str1, "@%i", (int) exp);
mpfr_set_str (y, str, base[cbase], rnd[2 - crnd]);
if (mpfr_cmp (x, y) != 0)
{
printf ("Error in mpfr_set_str for nb_digit=%u, base=%d, "
"rnd=%s:\n", (unsigned int) nb_digit, base[cbase],
mpfr_print_rnd_mode (rnd[crnd]));
printf ("instead of: ");
mpfr_print_binary (x);
puts ("");
printf ("return : ");
mpfr_print_binary (y);
puts ("");
exit (1);
}
}
(*__gmp_free_func) (str, N + 20);
}
/* end of tests added by Alain Delplanque */
/* check that flags are correctly cleared */
mpfr_set_nan (x);
mpfr_set_str (x, "+0.0", 10, GMP_RNDN);
if (!mpfr_number_p(x) || mpfr_cmp_ui (x, 0) != 0 || mpfr_sgn (x) < 0)
{
printf ("x <- +0.0 failed after x=NaN\n");
exit (1);
}
mpfr_set_str (x, "-0.0", 10, GMP_RNDN);
if (!mpfr_number_p(x) || mpfr_cmp_ui (x, 0) != 0 || mpfr_sgn (x) > 0)
{
printf ("x <- -0.0 failed after x=NaN\n");
exit (1);
}
/* check invalid input */
ret = mpfr_set_str (x, "1E10toto", 10, GMP_RNDN);
MPFR_ASSERTN (ret == -1);
ret = mpfr_set_str (x, "1p10toto", 16, GMP_RNDN);
MPFR_ASSERTN (ret == -1);
ret = mpfr_set_str (x, "", 16, GMP_RNDN);
MPFR_ASSERTN (ret == -1);
ret = mpfr_set_str (x, "+", 16, GMP_RNDN);
MPFR_ASSERTN (ret == -1);
ret = mpfr_set_str (x, "-", 16, GMP_RNDN);
MPFR_ASSERTN (ret == -1);
ret = mpfr_set_str (x, "this_is_an_invalid_number_in_base_36", 36, GMP_RNDN);
MPFR_ASSERTN (ret == -1);
ret = mpfr_set_str (x, "1.2.3", 10, GMP_RNDN);
MPFR_ASSERTN (ret == -1);
mpfr_set_prec (x, 135);
ret = mpfr_set_str (x, "thisisavalidnumberinbase36", 36, GMP_RNDN);
mpfr_set_prec (y, 135);
mpfr_set_str (y, "23833565676460972739462619524519814462546", 10, GMP_RNDN);
MPFR_ASSERTN (mpfr_cmp (x, y) == 0 && ret == 0);
/* coverage test for set_str_binary */
mpfr_set_str_binary (x, "NaN");
MPFR_ASSERTN(mpfr_nan_p (x));
mpfr_set_str_binary (x, "Inf");
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
mpfr_set_str_binary (x, "+Inf");
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
mpfr_set_str_binary (x, "-Inf");
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) < 0);
mpfr_set_prec (x, 3);
mpfr_set_str_binary (x, "0.01E2");
MPFR_ASSERTN(mpfr_cmp_ui (x, 1) == 0);
mpfr_set_str_binary (x, "-0.01E2");
MPFR_ASSERTN(mpfr_cmp_si (x, -1) == 0);
mpfr_clear (x);
mpfr_clear (y);
check_underflow ();
tests_end_mpfr ();
return 0;
}
bool
Floating_is_negative (Floating* self)
{
return mpfr_sgn(*self->value) < 0;
}
int
main (int argc, char *argv[])
{
mpfr_t x;
long k, z, d, N;
unsigned long zl, dl;
int inex;
int r;
mpfr_exp_t emin, emax;
int flag;
tests_start_mpfr ();
mpfr_init2 (x, 100);
N = (argc==1) ? 100000 : atol (argv[1]);
for (k = 1; k <= N; k++)
{
z = (long) (randlimb () & LONG_MAX) + LONG_MIN / 2;
inex = mpfr_set_si (x, z, MPFR_RNDZ);
d = mpfr_get_si (x, MPFR_RNDZ);
if (d != z)
{
printf ("Error in mpfr_set_si: expected %ld got %ld\n", z, d);
exit (1);
}
if (inex)
{
printf ("Error in mpfr_set_si: inex value incorrect for %ld: %d\n",
z, inex);
exit (1);
}
}
for (k = 1; k <= N; k++)
{
zl = randlimb ();
inex = mpfr_set_ui (x, zl, MPFR_RNDZ);
dl = mpfr_get_ui (x, MPFR_RNDZ);
if (dl != zl)
{
printf ("Error in mpfr_set_ui: expected %lu got %lu\n", zl, dl);
exit (1);
}
if (inex)
{
printf ("Error in mpfr_set_ui: inex value incorrect for %lu: %d\n",
zl, inex);
exit (1);
}
}
mpfr_set_prec (x, 2);
if (mpfr_set_si (x, 5, MPFR_RNDZ) >= 0)
{
printf ("Wrong inexact flag for x=5, rnd=MPFR_RNDZ\n");
exit (1);
}
mpfr_set_prec (x, 2);
if (mpfr_set_si (x, -5, MPFR_RNDZ) <= 0)
{
printf ("Wrong inexact flag for x=-5, rnd=MPFR_RNDZ\n");
exit (1);
}
mpfr_set_prec (x, 3);
inex = mpfr_set_si (x, 77617, MPFR_RNDD); /* should be 65536 */
if (MPFR_MANT(x)[0] != ((mp_limb_t)1 << (mp_bits_per_limb-1))
|| inex >= 0)
{
printf ("Error in mpfr_set_si(x:3, 77617, MPFR_RNDD)\n");
mpfr_print_binary (x);
puts ("");
exit (1);
}
inex = mpfr_set_ui (x, 77617, MPFR_RNDD); /* should be 65536 */
if (MPFR_MANT(x)[0] != ((mp_limb_t)1 << (mp_bits_per_limb-1))
|| inex >= 0)
{
printf ("Error in mpfr_set_ui(x:3, 77617, MPFR_RNDD)\n");
mpfr_print_binary (x);
puts ("");
exit (1);
}
mpfr_set_prec (x, 2);
inex = mpfr_set_si (x, 33096, MPFR_RNDU);
if (mpfr_get_si (x, MPFR_RNDZ) != 49152 || inex <= 0)
{
printf ("Error in mpfr_set_si, exp. 49152, got %ld, inex %d\n",
mpfr_get_si (x, MPFR_RNDZ), inex);
exit (1);
}
inex = mpfr_set_ui (x, 33096, MPFR_RNDU);
if (mpfr_get_si (x, MPFR_RNDZ) != 49152)
{
printf ("Error in mpfr_set_ui, exp. 49152, got %ld, inex %d\n",
mpfr_get_si (x, MPFR_RNDZ), inex);
exit (1);
}
/* Also test the mpfr_set_ui function (instead of macro). */
inex = (mpfr_set_ui) (x, 33096, MPFR_RNDU);
if (mpfr_get_si (x, MPFR_RNDZ) != 49152)
{
printf ("Error in mpfr_set_ui function, exp. 49152, got %ld, inex %d\n",
mpfr_get_si (x, MPFR_RNDZ), inex);
exit (1);
}
for (r = 0 ; r < MPFR_RND_MAX ; r++)
{
mpfr_set_si (x, -1, (mpfr_rnd_t) r);
mpfr_set_ui (x, 0, (mpfr_rnd_t) r);
if (MPFR_IS_NEG (x) || mpfr_get_ui (x, (mpfr_rnd_t) r) != 0)
{
printf ("mpfr_set_ui (x, 0) gives -0 for %s\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r));
exit (1);
}
mpfr_set_si (x, -1, (mpfr_rnd_t) r);
mpfr_set_si (x, 0, (mpfr_rnd_t) r);
if (MPFR_IS_NEG (x) || mpfr_get_si (x, (mpfr_rnd_t) r) != 0)
{
printf ("mpfr_set_si (x, 0) gives -0 for %s\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r));
exit (1);
}
}
/* check potential bug in case mp_limb_t is unsigned */
emax = mpfr_get_emax ();
set_emax (0);
mpfr_set_si (x, -1, MPFR_RNDN);
if (mpfr_sgn (x) >= 0)
{
printf ("mpfr_set_si (x, -1) fails\n");
exit (1);
}
set_emax (emax);
emax = mpfr_get_emax ();
set_emax (5);
mpfr_set_prec (x, 2);
mpfr_set_si (x, -31, MPFR_RNDN);
if (mpfr_sgn (x) >= 0)
{
printf ("mpfr_set_si (x, -31) fails\n");
exit (1);
}
set_emax (emax);
/* test for get_ui */
mpfr_set_ui (x, 0, MPFR_RNDN);
MPFR_ASSERTN(mpfr_get_ui (x, MPFR_RNDN) == 0);
mpfr_set_ui (x, ULONG_MAX, MPFR_RNDU);
mpfr_nextabove (x);
mpfr_get_ui (x, MPFR_RNDU);
/* another test for get_ui */
mpfr_set_prec (x, 10);
mpfr_set_str_binary (x, "10.101");
dl = mpfr_get_ui (x, MPFR_RNDN);
MPFR_ASSERTN (dl == 3);
mpfr_set_str_binary (x, "-1.0");
mpfr_get_ui (x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.1");
dl = mpfr_get_ui (x, MPFR_RNDN);
MPFR_ASSERTN (dl == 0);
dl = mpfr_get_ui (x, MPFR_RNDZ);
MPFR_ASSERTN (dl == 0);
dl = mpfr_get_ui (x, MPFR_RNDD);
MPFR_ASSERTN (dl == 0);
dl = mpfr_get_ui (x, MPFR_RNDU);
MPFR_ASSERTN (dl == 1);
/* coverage tests */
mpfr_set_prec (x, 2);
mpfr_set_si (x, -7, MPFR_RNDD);
MPFR_ASSERTN(mpfr_cmp_si (x, -8) == 0);
mpfr_set_prec (x, 2);
mpfr_set_ui (x, 7, MPFR_RNDU);
MPFR_ASSERTN(mpfr_cmp_ui (x, 8) == 0);
emax = mpfr_get_emax ();
set_emax (3);
mpfr_set_ui (x, 7, MPFR_RNDU);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
set_emax (1);
MPFR_ASSERTN( mpfr_set_ui (x, 7, MPFR_RNDU) );
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
set_emax (emax);
mpfr_set_ui_2exp (x, 17, -50, MPFR_RNDN);
MPFR_ASSERTN (mpfr_get_ui (x, MPFR_RNDD) == 0);
MPFR_ASSERTN (mpfr_get_si (x, MPFR_RNDD) == 0);
/* Test for ERANGE flag + correct behaviour if overflow */
mpfr_set_prec (x, 256);
mpfr_set_ui (x, ULONG_MAX, MPFR_RNDN);
mpfr_clear_erangeflag ();
dl = mpfr_get_ui (x, MPFR_RNDN);
if (dl != ULONG_MAX || mpfr_erangeflag_p ())
{
printf ("ERROR for get_ui + ERANGE + ULONG_MAX (1)\n");
exit (1);
}
mpfr_add_ui (x, x, 1, MPFR_RNDN);
dl = mpfr_get_ui (x, MPFR_RNDN);
if (dl != ULONG_MAX || !mpfr_erangeflag_p ())
{
printf ("ERROR for get_ui + ERANGE + ULONG_MAX (2)\n");
exit (1);
}
mpfr_set_si (x, -1, MPFR_RNDN);
mpfr_clear_erangeflag ();
dl = mpfr_get_ui (x, MPFR_RNDN);
if (dl != 0 || !mpfr_erangeflag_p ())
{
printf ("ERROR for get_ui + ERANGE + -1 \n");
exit (1);
}
mpfr_set_si (x, LONG_MAX, MPFR_RNDN);
mpfr_clear_erangeflag ();
d = mpfr_get_si (x, MPFR_RNDN);
if (d != LONG_MAX || mpfr_erangeflag_p ())
{
printf ("ERROR for get_si + ERANGE + LONG_MAX (1): %ld\n", d);
exit (1);
}
mpfr_add_ui (x, x, 1, MPFR_RNDN);
d = mpfr_get_si (x, MPFR_RNDN);
if (d != LONG_MAX || !mpfr_erangeflag_p ())
{
printf ("ERROR for get_si + ERANGE + LONG_MAX (2)\n");
exit (1);
}
mpfr_set_si (x, LONG_MIN, MPFR_RNDN);
mpfr_clear_erangeflag ();
d = mpfr_get_si (x, MPFR_RNDN);
if (d != LONG_MIN || mpfr_erangeflag_p ())
{
printf ("ERROR for get_si + ERANGE + LONG_MIN (1)\n");
exit (1);
}
mpfr_sub_ui (x, x, 1, MPFR_RNDN);
d = mpfr_get_si (x, MPFR_RNDN);
if (d != LONG_MIN || !mpfr_erangeflag_p ())
{
printf ("ERROR for get_si + ERANGE + LONG_MIN (2)\n");
exit (1);
}
mpfr_set_nan (x);
mpfr_clear_erangeflag ();
d = mpfr_get_ui (x, MPFR_RNDN);
if (d != 0 || !mpfr_erangeflag_p ())
{
printf ("ERROR for get_ui + NaN\n");
exit (1);
}
mpfr_clear_erangeflag ();
d = mpfr_get_si (x, MPFR_RNDN);
if (d != 0 || !mpfr_erangeflag_p ())
{
printf ("ERROR for get_si + NaN\n");
exit (1);
}
emin = mpfr_get_emin ();
mpfr_set_prec (x, 2);
mpfr_set_emin (4);
mpfr_clear_flags ();
mpfr_set_ui (x, 7, MPFR_RNDU);
flag = mpfr_underflow_p ();
mpfr_set_emin (emin);
if (mpfr_cmp_ui (x, 8) != 0)
{
printf ("Error for mpfr_set_ui (x, 7, MPFR_RNDU), prec = 2, emin = 4\n");
exit (1);
}
if (flag)
{
printf ("mpfr_set_ui (x, 7, MPFR_RNDU) should not underflow "
"with prec = 2, emin = 4\n");
exit (1);
}
mpfr_set_emin (4);
mpfr_clear_flags ();
mpfr_set_si (x, -7, MPFR_RNDD);
flag = mpfr_underflow_p ();
mpfr_set_emin (emin);
if (mpfr_cmp_si (x, -8) != 0)
{
printf ("Error for mpfr_set_si (x, -7, MPFR_RNDD), prec = 2, emin = 4\n");
exit (1);
}
if (flag)
{
printf ("mpfr_set_si (x, -7, MPFR_RNDD) should not underflow "
"with prec = 2, emin = 4\n");
exit (1);
}
mpfr_clear (x);
test_2exp ();
test_macros ();
test_macros_keyword ();
tests_end_mpfr ();
return 0;
}
static void
special (void)
{
mpfr_t x, y;
mpq_t q;
mpz_t z;
int res = 0;
mpfr_init (x);
mpfr_init (y);
mpq_init (q);
mpz_init (z);
/* cancellation in mpfr_add_q */
mpfr_set_prec (x, 60);
mpfr_set_prec (y, 20);
mpz_set_str (mpq_numref (q), "-187207494", 10);
mpz_set_str (mpq_denref (q), "5721", 10);
mpfr_set_str_binary (x, "11111111101001011011100101100011011110010011100010000100001E-44");
mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("cancelation in add_q", mpfr_cmp_ui_2exp (y, 256783, -64) == 0);
mpfr_set_prec (x, 19);
mpfr_set_str_binary (x, "0.1011110101110011100E0");
mpz_set_str (mpq_numref (q), "187207494", 10);
mpz_set_str (mpq_denref (q), "5721", 10);
mpfr_set_prec (y, 29);
mpfr_add_q (y, x, q, MPFR_RNDD);
mpfr_set_prec (x, 29);
mpfr_set_str_binary (x, "11111111101001110011010001001E-14");
CHECK_FOR ("cancelation in add_q", mpfr_cmp (x,y) == 0);
/* Inf */
mpfr_set_inf (x, 1);
mpz_set_str (mpq_numref (q), "395877315", 10);
mpz_set_str (mpq_denref (q), "3508975966", 10);
mpfr_set_prec (y, 118);
mpfr_add_q (y, x, q, MPFR_RNDU);
CHECK_FOR ("inf", mpfr_inf_p (y) && mpfr_sgn (y) > 0);
mpfr_sub_q (y, x, q, MPFR_RNDU);
CHECK_FOR ("inf", mpfr_inf_p (y) && mpfr_sgn (y) > 0);
/* Nan */
MPFR_SET_NAN (x);
mpfr_add_q (y, x, q, MPFR_RNDU);
CHECK_FOR ("nan", mpfr_nan_p (y));
mpfr_sub_q (y, x, q, MPFR_RNDU);
CHECK_FOR ("nan", mpfr_nan_p (y));
/* Exact value */
mpfr_set_prec (x, 60);
mpfr_set_prec (y, 60);
mpfr_set_str1 (x, "0.5");
mpz_set_str (mpq_numref (q), "3", 10);
mpz_set_str (mpq_denref (q), "2", 10);
res = mpfr_add_q (y, x, q, MPFR_RNDU);
CHECK_FOR ("0.5+3/2", mpfr_cmp_ui(y, 2)==0 && res==0);
res = mpfr_sub_q (y, x, q, MPFR_RNDU);
CHECK_FOR ("0.5-3/2", mpfr_cmp_si(y, -1)==0 && res==0);
/* Inf Rationnal */
mpq_set_ui (q, 1, 0);
mpfr_set_str1 (x, "0.5");
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("0.5+1/0", mpfr_inf_p (y) && MPFR_IS_POS (y) && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("0.5-1/0", mpfr_inf_p (y) && MPFR_IS_NEG (y) && res == 0);
mpq_set_si (q, -1, 0);
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("0.5+ -1/0", mpfr_inf_p (y) && MPFR_IS_NEG (y) && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("0.5- -1/0", mpfr_inf_p (y) && MPFR_IS_POS (y) && res == 0);
res = mpfr_div_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("0.5 / (-1/0)", mpfr_zero_p (y) && MPFR_IS_NEG (y) && res == 0);
mpq_set_ui (q, 1, 0);
mpfr_set_inf (x, 1);
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("+Inf + +Inf", mpfr_inf_p (y) && MPFR_IS_POS (y) && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("+Inf - +Inf", MPFR_IS_NAN (y) && res == 0);
mpfr_set_inf (x, -1);
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("-Inf + +Inf", MPFR_IS_NAN (y) && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("-Inf - +Inf", mpfr_inf_p (y) && MPFR_IS_NEG (y) && res == 0);
mpq_set_si (q, -1, 0);
mpfr_set_inf (x, 1);
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("+Inf + -Inf", MPFR_IS_NAN (y) && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("+Inf - -Inf", mpfr_inf_p (y) && MPFR_IS_POS (y) && res == 0);
mpfr_set_inf (x, -1);
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("-Inf + -Inf", mpfr_inf_p (y) && MPFR_IS_NEG (y) && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("-Inf - -Inf", MPFR_IS_NAN (y) && res == 0);
/* 0 */
mpq_set_ui (q, 0, 1);
mpfr_set_ui (x, 42, MPFR_RNDN);
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("42+0/1", mpfr_cmp_ui (y, 42) == 0 && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("42-0/1", mpfr_cmp_ui (y, 42) == 0 && res == 0);
res = mpfr_mul_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("42*0/1", mpfr_zero_p (y) && MPFR_IS_POS (y) && res == 0);
mpfr_clear_flags ();
res = mpfr_div_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("42/(0/1)", mpfr_inf_p (y) && MPFR_IS_POS (y) && res == 0
&& mpfr_divby0_p ());
mpz_set_ui (z, 0);
mpfr_clear_flags ();
res = mpfr_div_z (y, x, z, MPFR_RNDN);
CHECK_FORZ ("42/0", mpfr_inf_p (y) && MPFR_IS_POS (y) && res == 0
&& mpfr_divby0_p ());
mpz_clear (z);
mpq_clear (q);
mpfr_clear (x);
mpfr_clear (y);
}
