int
main (int argc, char *argv[])
{
tests_start_mpfr ();
special_overflow ();
special ();
test_generic (2, 100, 100);
data_check ("data/tanh", mpfr_tanh, "mpfr_tanh");
tests_end_mpfr ();
return 0;
}
int
main (int argc, char *argv[])
{
MPFR_TEST_USE_RANDS ();
tests_start_mpfr ();
special ();
special_overflow ();
test_generic (2, 100, 2);
gamma_integer ();
data_check ("data/gamma", mpfr_gamma, "mpfr_gamma");
tests_end_mpfr ();
return 0;
}
int
main (int argc, char *argv[])
{
tests_start_mpfr ();
special_overflow ();
special ();
test_generic (2, 100, 100);
data_check ("data/cosh", mpfr_cosh, "mpfr_cosh");
bad_cases (mpfr_cosh, mpfr_acosh, "mpfr_cosh", 0, 1, 255, 4, 128, 800, 100);
tests_end_mpfr ();
return 0;
}
int
main (int argc, char *argv[])
{
tests_start_mpfr ();
special_overflow ();
special ();
test_generic (MPFR_PREC_MIN, 100, 100);
data_check ("data/tanh", mpfr_tanh, "mpfr_tanh");
bad_cases (mpfr_tanh, mpfr_atanh, "mpfr_tanh", 256, -128, 0,
4, 128, 800, 100);
tests_end_mpfr ();
return 0;
}
int
main (int argc, char *argv[])
{
tests_start_mpfr ();
special ();
special_overflow ();
exprange ();
tiny (argc == 1);
test_generic (2, 100, 2);
gamma_integer ();
test20071231 ();
test20100709 ();
data_check ("data/gamma", mpfr_gamma, "mpfr_gamma");
tests_end_mpfr ();
return 0;
}
int
main (void)
{
tests_start_mpfr ();
special ();
special_overflow ();
test_generic (2, 100, 7);
tests_end_mpfr ();
data_check ("data/asin", mpfr_asin, "mpfr_asin");
test20071215 ();
tests_end_mpfr ();
return 0;
}
int
main (void)
{
tests_start_mpfr ();
special ();
special_overflow ();
reduced_expo_range ();
test_generic (2, 100, 15);
tests_end_mpfr ();
data_check ("data/asin", mpfr_asin, "mpfr_asin");
bad_cases (mpfr_asin, mpfr_sin, "mpfr_asin", 256, -40, 1, 4, 128, 800, 30);
test20071215 ();
tests_end_mpfr ();
return 0;
}
int
main (int argc, char *argv[])
{
tests_start_mpfr ();
special_overflow ();
special ();
special_atan2 ();
smallvals_atan2 ();
atan2_bug_20071003 ();
atan2_different_prec ();
reduced_expo_range ();
test_generic_atan (2, 200, 17);
test_generic_atan2 (2, 200, 17);
test_generic_atan2_neg (2, 200, 17);
data_check ("data/atan", mpfr_atan, "mpfr_atan");
bad_cases (mpfr_atan, mpfr_tan, "mpfr_atan", 256, -40, 1, 4, 128, 800, 40);
atan2_pow_of_2 ();
tests_end_mpfr ();
return 0;
}
int
main (int argc, char *argv[])
{
mpfr_t x, y;
int inex;
tests_start_mpfr ();
special_overflow ();
check_nans ();
mpfr_init (x);
mpfr_init (y);
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 2);
mpfr_set_str (x, "9.81333845856942e-1", 10, MPFR_RNDN);
test_cos (y, x, MPFR_RNDN);
mpfr_set_prec (x, 30);
mpfr_set_prec (y, 30);
mpfr_set_str_binary (x, "1.00001010001101110010100010101e-1");
test_cos (y, x, MPFR_RNDU);
mpfr_set_str_binary (x, "1.10111100010101011110101010100e-1");
if (mpfr_cmp (y, x))
{
printf ("Error for prec=30, rnd=MPFR_RNDU\n");
printf ("expected "); mpfr_print_binary (x); puts ("");
printf (" got "); mpfr_print_binary (y); puts ("");
exit (1);
}
mpfr_set_prec (x, 59);
mpfr_set_prec (y, 59);
mpfr_set_str_binary (x, "1.01101011101111010011111110111111111011011101100111100011e-3");
test_cos (y, x, MPFR_RNDU);
mpfr_set_str_binary (x, "1.1111011111110010001001001011100111101110100010000010010011e-1");
if (mpfr_cmp (y, x))
{
printf ("Error for prec=59, rnd=MPFR_RNDU\n");
printf ("expected "); mpfr_print_binary (x); puts ("");
printf (" got "); mpfr_print_binary (y); puts ("");
exit (1);
}
mpfr_set_prec (x, 5);
mpfr_set_prec (y, 5);
mpfr_set_str_binary (x, "1.1100e-2");
test_cos (y, x, MPFR_RNDD);
mpfr_set_str_binary (x, "1.1100e-1");
if (mpfr_cmp (y, x))
{
printf ("Error for x=1.1100e-2, rnd=MPFR_RNDD\n");
printf ("expected 1.1100e-1, got "); mpfr_print_binary (y); puts ("");
exit (1);
}
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 32);
mpfr_set_str_binary (x, "0.10001000001001011000100001E-6");
mpfr_set_str_binary (y, "0.1111111111111101101111001100001");
test_cos (x, x, MPFR_RNDN);
if (mpfr_cmp (x, y))
{
printf ("Error for prec=32 (1)\n");
exit (1);
}
mpfr_set_str_binary (x, "-0.1101011110111100111010011001011E-1");
mpfr_set_str_binary (y, "0.11101001100110111011011010100011");
test_cos (x, x, MPFR_RNDN);
if (mpfr_cmp (x, y))
{
printf ("Error for prec=32 (2)\n");
exit (1);
}
/* huge argument reduction */
mpfr_set_str_binary (x, "0.10000010000001101011101111001011E40");
mpfr_set_str_binary (y, "0.10011000001111010000101011001011E-1");
test_cos (x, x, MPFR_RNDN);
if (mpfr_cmp (x, y))
{
printf ("Error for prec=32 (3)\n");
exit (1);
}
mpfr_set_prec (x, 3);
mpfr_set_prec (y, 3);
mpfr_set_str_binary (x, "0.110E60");
inex = mpfr_cos (y, x, MPFR_RNDD);
MPFR_ASSERTN(inex < 0);
/* worst case from PhD thesis of Vincent Lefe`vre: x=8980155785351021/2^54 */
check53 ("4.984987858808754279e-1", "8.783012931285841817e-1", MPFR_RNDN);
check53 ("4.984987858808754279e-1", "8.783012931285840707e-1", MPFR_RNDD);
check53 ("4.984987858808754279e-1", "8.783012931285840707e-1", MPFR_RNDZ);
check53 ("4.984987858808754279e-1", "8.783012931285841817e-1", MPFR_RNDU);
check53 ("1.00031274099908640274", "0.540039116973283217504", MPFR_RNDN);
check53 ("1.00229256850978698523", "0.538371757797526551137", MPFR_RNDZ);
check53 ("1.00288304857059840103", "0.537874062022526966409", MPFR_RNDZ);
check53 ("1.00591265847407274059", "0.53531755997839769456", MPFR_RNDN);
check53 ("1.00591265847407274059", "0.53531755997839769456", MPFR_RNDN);
overflowed_cos0 ();
test_generic (2, 100, 15);
/* check inexact flag */
mpfr_set_prec (x, 3);
mpfr_set_prec (y, 13);
mpfr_set_str_binary (x, "-0.100E196");
inex = mpfr_cos (y, x, MPFR_RNDU);
mpfr_set_prec (x, 13);
mpfr_set_str_binary (x, "0.1111111100101");
MPFR_ASSERTN (inex > 0 && mpfr_equal_p (x, y));
mpfr_clear (x);
mpfr_clear (y);
bug20091030 ();
data_check ("data/cos", mpfr_cos, "mpfr_cos");
bad_cases (mpfr_cos, mpfr_acos, "mpfr_cos", 256, -40, 0, 4, 128, 800, 50);
tests_end_mpfr ();
return 0;
}
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;
}
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 (void)
{
mpfr_t x, y;
int r;
tests_start_mpfr ();
special_overflow ();
special ();
mpfr_init (x);
mpfr_init (y);
MPFR_SET_NAN(x);
mpfr_acos (y, x, MPFR_RNDN);
if (mpfr_nan_p(y) == 0)
{
printf ("Error: acos(NaN) != NaN\n");
exit (1);
}
mpfr_set_ui (x, 2, MPFR_RNDN);
mpfr_acos (y, x, MPFR_RNDN);
if (mpfr_nan_p(y) == 0)
{
printf ("Error: acos(2) != NaN\n");
exit (1);
}
mpfr_set_si (x, -2, MPFR_RNDN);
mpfr_acos (y, x, MPFR_RNDN);
if (mpfr_nan_p(y) == 0)
{
printf ("Error: acos(-2) != NaN\n");
exit (1);
}
/* acos (1) = 0 */
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_acos (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
{
printf ("Error: acos(1) != +0.0\n");
exit (1);
}
/* acos (0) = Pi/2 */
for (r = 0; r < MPFR_RND_MAX; r++)
{
mpfr_set_ui (x, 0, MPFR_RNDN); /* exact */
mpfr_acos (y, x, (mpfr_rnd_t) r);
mpfr_const_pi (x, (mpfr_rnd_t) r);
mpfr_div_2exp (x, x, 1, MPFR_RNDN); /* exact */
if (mpfr_cmp (x, y))
{
printf ("Error: acos(0) != Pi/2 for rnd=%s\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r));
exit (1);
}
}
/* acos (-1) = Pi */
for (r = 0; r < MPFR_RND_MAX; r++)
{
mpfr_set_si (x, -1, MPFR_RNDN); /* exact */
mpfr_acos (y, x, (mpfr_rnd_t) r);
mpfr_const_pi (x, (mpfr_rnd_t) r);
if (mpfr_cmp (x, y))
{
printf ("Error: acos(1) != Pi for rnd=%s\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r));
exit (1);
}
}
test_generic (2, 100, 7);
mpfr_clear (x);
mpfr_clear (y);
data_check ("data/acos", mpfr_acos, "mpfr_acos");
bad_cases (mpfr_acos, mpfr_cos, "mpfr_acos", 0, -40, 2, 4, 128, 800, 30);
tests_end_mpfr ();
return 0;
}
