static void test_all_cos() {
test_cos(zero, one, "0");
test_cos(cent, dec64_new(99995000041666528, -17), "0.01");
test_cos(pi, negative_one, "pi");
test_cos(half_pi, zero, "pi");
test_cos(ten, dec64_new(-8390715290764525, -16), "10");
}
int main(int argc, char *argv[])
{
ULONG res = 0;
MathIeeeSingTransBase = (BaseType *)OpenLibrary("mathieeesingtrans.library", 34);
if(MathIeeeSingTransBase) {
PutStr("ok!\n");
test_const();
test_acos();
test_asin();
test_atan();
test_cos();
test_cosh();
test_exp();
test_fieee();
test_log();
test_log10();
test_pow();
test_sin();
test_sincos();
test_sinh();
test_sqrt();
test_tan();
test_tanh();
test_tieee();
CloseLibrary((struct Library *)MathIeeeSingTransBase);
} else {
PutStr("No mathieeesingtrans.library!\n");
res = 1;
}
return res;
}
int main ( int argc, char *argv[] )
/******************************************************************************/
/*
Purpose:
MAIN is the main program for C_INTRINSICS.
Licensing:
This code is distributed under the GNU LGPL license.
Modified:
16 April 2011
Author:
John Burkardt
*/
{
timestamp ( );
printf ( "\n" );
printf ( "C_INTRINSICS:\n" );
printf ( " Test the C intrinsic library.\n" );
test_abs ( );
test_acos ( );
test_asin ( );
test_atan ( );
test_atan2 ( );
test_ceil ( );
test_cos ( );
test_cosh ( );
test_exp ( );
test_fabs ( );
test_floor ( );
test_fmod ( );
test_frexp ( );
test_ldexp ( );
test_log ( );
test_log10 ( );
test_modf ( );
test_pow ( );
test_sin ( );
test_sinh ( );
test_sqrt ( );
test_tan ( );
test_tanh ( );
/*
Terminate.
*/
printf ( "\n" );
printf ( "C_INTRINSICS:\n" );
printf ( " Normal end of execution.\n" );
printf ( "\n" );
timestamp ( );
return 0;
}
static void
check53 (const char *xs, const char *cos_xs, mpfr_rnd_t rnd_mode)
{
mpfr_t xx, c;
mpfr_inits2 (53, xx, c, (mpfr_ptr) 0);
mpfr_set_str1 (xx, xs); /* should be exact */
test_cos (c, xx, rnd_mode);
if (mpfr_cmp_str1 (c, cos_xs))
{
printf ("mpfr_cos failed for x=%s, rnd=%s\n",
xs, mpfr_print_rnd_mode (rnd_mode));
printf ("mpfr_cos gives cos(x)=");
mpfr_out_str(stdout, 10, 0, c, MPFR_RNDN);
printf(", expected %s\n", cos_xs);
exit (1);
}
mpfr_clears (xx, c, (mpfr_ptr) 0);
}
static void
special_overflow (void)
{
mpfr_t x, y;
mpfr_exp_t emin, emax;
emin = mpfr_get_emin ();
emax = mpfr_get_emax ();
mpfr_init2 (x, 24);
mpfr_init2 (y, 73);
/* Check special case: An overflow in const_pi could occurs! */
set_emin (-125);
set_emax (128);
mpfr_set_str_binary (x, "0.111101010110110011101101E6");
test_cos (y, x, MPFR_RNDZ);
set_emin (emin);
set_emax (emax);
mpfr_clear (x);
mpfr_clear (y);
}
static void
check_nans (void)
{
mpfr_t x, y;
mpfr_init2 (x, 123L);
mpfr_init2 (y, 123L);
mpfr_set_nan (x);
test_cos (y, x, MPFR_RNDN);
if (! mpfr_nan_p (y))
{
printf ("Error: cos(NaN) != NaN\n");
exit (1);
}
mpfr_set_inf (x, 1);
test_cos (y, x, MPFR_RNDN);
if (! mpfr_nan_p (y))
{
printf ("Error: cos(Inf) != NaN\n");
exit (1);
}
mpfr_set_inf (x, -1);
test_cos (y, x, MPFR_RNDN);
if (! mpfr_nan_p (y))
{
printf ("Error: cos(-Inf) != NaN\n");
exit (1);
}
/* cos(+/-0) = 1 */
mpfr_set_ui (x, 0, MPFR_RNDN);
test_cos (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 1))
{
printf ("Error: cos(+0) != 1\n");
exit (1);
}
mpfr_neg (x, x, MPFR_RNDN);
test_cos (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 1))
{
printf ("Error: cos(-0) != 1\n");
exit (1);
}
/* Compute ~Pi/2 to check */
/* FIXME: Too slow!
mpfr_set_prec (x, 20000);
mpfr_const_pi (x, MPFR_RNDD); mpfr_div_2ui (x, x, 1, MPFR_RNDN);
mpfr_set_prec (y, 24);
test_cos (y, x, MPFR_RNDN);
if (mpfr_cmp_str (y, "0.111001010110100011000001E-20000", 2, MPFR_RNDN))
{
printf("Error computing cos(~Pi/2)\n");
mpfr_dump (y);
exit (1);
} */
mpfr_clear (x);
mpfr_clear (y);
}
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()
{
test_acos();
test_asin();
test_atan();
test_atan2();
test_ceil();
test_cos();
test_cosh();
test_exp();
test_fabs();
test_floor();
test_fmod();
test_frexp();
test_ldexp();
test_log();
test_log10();
test_modf();
test_pow();
test_sin();
test_sinh();
test_sqrt();
test_tan();
test_tanh();
test_signbit();
test_fpclassify();
test_isfinite();
test_isinf();
test_isnan();
test_isnormal();
test_isgreater();
test_isgreaterequal();
test_isless();
test_islessequal();
test_islessgreater();
test_isunordered();
test_acosh();
test_asinh();
test_atanh();
test_cbrt();
test_copysign();
test_erf();
test_erfc();
test_exp2();
test_expm1();
test_fdim();
test_fma();
test_fmax();
test_fmin();
test_hypot();
test_ilogb();
test_lgamma();
test_llrint();
test_llround();
test_log1p();
test_log2();
test_logb();
test_lrint();
test_lround();
test_nan();
test_nearbyint();
test_nextafter();
test_nexttoward();
test_remainder();
test_remquo();
test_rint();
test_round();
test_scalbln();
test_scalbn();
test_tgamma();
test_trunc();
}
void
selftest(void)
{
// for handling "errout"
if (setjmp(jbuf))
return;
#if SELFTEST
test_low_level();
test_multiply();
test_scan();
test_power();
test_factor_number();
test_test();
test_tensor();
test_bake();
test(__FILE__, s, sizeof (s) / sizeof (char *)); // "s" is in selftest.h
test_abs();
test_adj();
test_arg();
test_besselj();
test_bessely();
test_ceiling();
test_choose();
test_circexp();
test_clock();
test_cofactor();
test_condense();
test_contract();
test_defint();
test_denominator();
test_derivative();
test_dirac();
test_erf();
test_erfc();
test_expand();
test_expcos();
test_expsin();
test_factorpoly();
test_float();
test_floor();
test_gamma();
test_gcd();
test_imag();
test_inner();
test_lcm();
test_log();
test_mag();
test_mod();
test_nroots();
test_numerator();
test_outer();
test_polar();
test_quotient();
test_rationalize();
test_real();
test_rect();
test_sgn();
test_taylor();
test_transpose();
test_zero();
test_hermite();
test_laguerre();
test_legendre();
test_binomial();
test_divisors();
test_coeff();
test_sin();
test_cos();
test_tan();
test_sinh();
test_cosh();
test_tanh();
test_arcsin();
test_arcsinh();
test_arccos();
test_arccosh();
test_arctan();
test_arctanh();
test_index();
test_isprime();
test_integral();
test_simplify();
test_roots();
test_eigen();
#endif
mini_test();
logout("OK, all tests passed.\n");
}
