diff options
Diffstat (limited to 'math')
| -rw-r--r-- | math/libm-test.c | 179 |
1 files changed, 172 insertions, 7 deletions
diff --git a/math/libm-test.c b/math/libm-test.c index b5a9bc1408..5890c3bce8 100644 --- a/math/libm-test.c +++ b/math/libm-test.c @@ -45,13 +45,13 @@ frexp, gamma, hypot, ilogb, isfinite, isinf, isnan, isnormal, isless, islessequal, isgreater, isgreaterequal, islessgreater, isunordered, - j0, j1, + j0, j1, jn, ldexp, lgamma, log, log10, log1p, log2, logb, modf, nearbyint, nextafter, pow, remainder, remquo, rint, lrint, llrint, round, lround, llround, scalb, scalbn, signbit, sin, sincos, sinh, sqrt, tan, tanh, tgamma, trunc, - y0, y1 + y0, y1, yn and for the following complex math functions: cabs, cacos, cacosh, carg, casin, casinh, catan, catanh, @@ -59,7 +59,6 @@ At the moment the following functions aren't tested: conj, cproj, cimag, creal, drem, - jn, yn, significand, nan @@ -5509,7 +5508,7 @@ j0_test (void) /* j0 is the Bessel function of the first kind of order 0 */ check_isnan ("j0 (NaN) = NaN", FUNC(j0) (nan_value)); - + check ("j0 (+Inf) = 0", FUNC(j0) (plus_infty), 0); check ("j0 (-1.0) = 0.76519...", FUNC(j0) (-1.0), 0.76519768655796655145); check ("j0 (0) = 1", FUNC(j0) (0.0), 1.0); check ("j0 (0.1) = 0.99750...", FUNC(j0) (0.1), 0.99750156206604003228); @@ -5533,9 +5532,10 @@ j1_test (void) /* Function not implemented. */ return; - /* j is the Bessel function of the first kind of order 1 */ - check_isnan ("j1 (NaN) = NaN", FUNC(j0) (nan_value)); - + /* j1 is the Bessel function of the first kind of order 1 */ + check_isnan ("j1 (NaN) = NaN", FUNC(j1) (nan_value)); + check ("j1 (+Inf) = 0", FUNC(j1) (plus_infty), 0); + check ("j1 (-1.0) = -0.44005...", FUNC(j1) (-1.0), -0.44005058574493351596); check ("j1 (0) = 0", FUNC(j1) (0.0), 0.0); check ("j1 (0.1) = 0.049937...", FUNC(j1) (0.1), 0.049937526036241997556); @@ -5550,6 +5550,84 @@ j1_test (void) CHOOSE(0, 7e-18, 3.8e-9)); } +static void +jn_test (void) +{ + errno = 0; + FUNC(jn) (1, 1); + if (errno == ENOSYS) + /* Function not implemented. */ + return; + + /* jn is the Bessel function of the first kind of order n. */ + + /* jn (0, x) == j0 (x) */ + check_isnan ("jn (0, NaN) = NaN", FUNC(jn) (0, nan_value)); + check ("jn (0, +Inf) = 0", FUNC(jn) (0, plus_infty), 0); + check ("jn (0, -1.0) = 0.76519...", FUNC(jn) (0, -1.0), 0.76519768655796655145); + check ("jn (0, 0.0) = 1", FUNC(jn) (0, 0.0), 1.0); + check ("jn (0, 0.1) = 0.99750...", FUNC(jn) (0, 0.1), 0.99750156206604003228); + check ("jn (0, 0.7) = 0.88120...", FUNC(jn) (0, 0.7), 0.88120088860740528084); + check ("jn (0, 1.0) = 0.76519...", FUNC(jn) (0, 1.0), 0.76519768655796655145); + check ("jn (0, 1.5) = 0.51182...", FUNC(jn) (0, 1.5), 0.51182767173591812875); + check_eps ("jn (0, 2.0) = 0.22389...", FUNC(jn) (0, 2.0), 0.22389077914123566805, + CHOOSE(0, 3e-17, 1.5e-8)); + check_eps ("jn (0, 8.0) = 0.17165...", FUNC(jn) (0, 8.0), 0.17165080713755390609, + CHOOSE(0, 0, 1.5e-8)); + check_eps ("jn (0, 10.0) = -0.24593...", FUNC(jn) (0, 10.0), -0.24593576445134833520, + CHOOSE(0, 6e-17, 1.5e-8)); + + /* jn (1, x) == j1 (x) */ + check_isnan ("jn (1, NaN) = NaN", FUNC(jn) (1, nan_value)); + check ("jn (1, +Inf) = 0", FUNC(jn) (1, plus_infty), 0); + + check ("jn (1, -1.0) = -0.44005...", FUNC(jn) (1, -1.0), -0.44005058574493351596); + check ("jn (1, 0.0) = 0", FUNC(jn) (1, 0.0), 0.0); + check ("jn (1, 0.1) = 0.049937...", FUNC(jn) (1, 0.1), 0.049937526036241997556); + check ("jn (1, 0.7) = 0.32899...", FUNC(jn) (1, 0.7), 0.32899574154005894785); + check ("jn (1, 1.0) = 0.44005...", FUNC(jn) (1, 1.0), 0.44005058574493351596); + check ("jn (1, 1.5) = 0.55793...", FUNC(jn) (1, 1.5), 0.55793650791009964199); + check_eps ("jn (1, 2.0) = 0.57672...", FUNC(jn) (1, 2.0), 0.57672480775687338720, + CHOOSE(0, 2e-16, 0)); + check_eps ("jn (1, 8.0) = 0.23463...", FUNC(jn) (1, 8.0), 0.23463634685391462438, + CHOOSE(0, 0, 1.5e-8)); + check_eps ("jn (1, 10.0) = 0.04347...", FUNC(jn) (1, 10.0), 0.043472746168861436670, + CHOOSE(0, 7e-18, 3.8e-9)); + + /* jn (3, x) */ + check_isnan ("jn (3, NaN) = NaN", FUNC(jn) (3, nan_value)); + check ("jn (3, +Inf) = 0", FUNC(jn) (3, plus_infty), 0); + + check ("jn (3, -1.0) = -0.01956...", FUNC(jn) (3, -1.0), -0.019563353982668405919); + check ("jn (3, 0.0) = 0", FUNC(jn) (3, 0.0), 0.0); + check_eps ("jn (3, 0.1) = 2.082...*10^-6", FUNC(jn) (3, 0.1), 0.000020820315754756261429, + CHOOSE(0, 4e-21, 0)); + check_eps ("jn (3, 0.7) = 0.00692...", FUNC(jn) (3, 0.7), 0.0069296548267508408077, + CHOOSE(0, 2e-18, 0)); + check ("jn (3, 1.0) = 0.01956...", FUNC(jn) (3, 1.0), 0.019563353982668405919); + check_eps ("jn (3, 2.0) = 0.12894...", FUNC(jn) (3, 2.0), 0.12894324947440205110, + CHOOSE(0, 3e-17, 0)); + check_eps ("jn (3, 10.0) = 0.05837...", FUNC(jn) (3, 10.0), 0.058379379305186812343, + CHOOSE(0, 3e-17, 4e-9)); + + /* jn (10, x) */ + check_isnan ("jn (10, NaN) = NaN", FUNC(jn) (10, nan_value)); + check ("jn (10, +Inf) = 0", FUNC(jn) (10, plus_infty), 0); + + check_eps ("jn (10, -1.0) = 2.6306...*10^-10", FUNC(jn) (10, -1.0), 0.26306151236874532070e-9, + CHOOSE(0, 0, 3e-17)); + check ("jn (10, 0) = 0", FUNC(jn) (10, 0.0), 0.0); + check_eps ("jn (10, 0.1) = 2.6905...*10^-20", FUNC(jn) (10, 0.1), 0.26905328954342155795e-19, + CHOOSE(0, 2e-35, 2e-27)); + check_eps ("jn (10, 0.7) = 7.517...*10^-12", FUNC(jn) (10, 0.7), 0.75175911502153953928e-11, + CHOOSE(0, 7e-27, 9e-19)); + check_eps ("jn (10, 1.0) = 2.630...*10^-11", FUNC(jn) (10, 1.0), 0.26306151236874532070e-9, + CHOOSE(0, 0, 3e-17)); + check_eps ("jn (10, 2.0) = 2.515...*10^-7", FUNC(jn) (10, 2.0), 0.25153862827167367096e-6, + CHOOSE(0, 2e-22, 0)); + check_eps ("jn (10, 10.0) = 0.20748...", FUNC(jn) (10, 10.0), 0.20748610663335885770, + CHOOSE(0, 2e-16, 3e-8)); +} static void y0_test (void) @@ -5564,6 +5642,7 @@ y0_test (void) check_isinfn ("y0 (-1.0) = -inf", FUNC(y0) (-1.0)); check_isinfn ("y0 (0) = -inf", FUNC(y0) (0.0)); check_isnan ("y0 (NaN) = NaN", FUNC(y0) (nan_value)); + check ("y0 (+Inf) = 0", FUNC(y0) (plus_infty), 0); check_eps ("y0 (0.1) = -1.53423...", FUNC(y0) (0.1), -1.5342386513503668441, CHOOSE(0, 3e-16, 1.2e-7)); @@ -5594,6 +5673,7 @@ y1_test (void) /* y1 is the Bessel function of the second kind of order 1 */ check_isinfn ("y1 (-1.0) = -inf", FUNC(y1) (-1.0)); check_isinfn ("y1 (0) = -inf", FUNC(y1) (0.0)); + check ("y1 (+Inf) = 0", FUNC(y1) (plus_infty), 0); check_isnan ("y1 (NaN) = NaN", FUNC(y1) (nan_value)); check_eps ("y1 (0.1) = -6.45895...", FUNC(y1) (0.1), -6.4589510947020269877, @@ -5611,6 +5691,89 @@ y1_test (void) CHOOSE(0, 9e-17, 3.0e-8)); } +static void +yn_test (void) +{ + errno = 0; + FUNC(yn) (1, 1); + if (errno == ENOSYS) + /* Function not implemented. */ + return; + + /* yn is the Bessel function of the second kind of order n */ + + /* yn (0, x) == y0 (x) */ + check_isinfn ("yn (0, -1.0) = -inf", FUNC(yn) (0, -1.0)); + check_isinfn ("yn (0, 0) = -inf", FUNC(yn) (0, 0.0)); + check_isnan ("yn (0, NaN) = NaN", FUNC(yn) (0, nan_value)); + check ("yn (0, +Inf) = 0", FUNC(yn) (0, plus_infty), 0); + + check_eps ("yn (0, 0.1) = -1.53423...", FUNC(yn) (0, 0.1), -1.5342386513503668441, + CHOOSE(0, 3e-16, 3e-7)); + check_eps ("yn (0, 0.7) = -0.19066...", FUNC(yn) (0, 0.7), -0.19066492933739506743, + CHOOSE(0, 6e-17, 2e-8)); + check_eps ("yn (0, 1.0) = 0.08825...", FUNC(yn) (0, 1.0), 0.088256964215676957983, + CHOOSE(0, 2e-17, 8e-9)); + check_eps ("yn (0, 1.5) = 0.38244...", FUNC(yn) (0, 1.5), 0.38244892379775884396, + CHOOSE(0, 6e-17, 3e-8)); + check_eps ("yn (0, 2.0) = 0.51037...", FUNC(yn) (0, 2.0), 0.51037567264974511960, + CHOOSE(0, 2e-16, 0)); + check_eps ("yn (0, 8.0) = 0.22352...", FUNC(yn) (0, 8.0), 0.22352148938756622053, + CHOOSE(0, 3e-17, 1.5e-8)); + check_eps ("yn (0, 10.0) = 0.05567...", FUNC(yn) (0, 10.0), 0.055671167283599391424, + CHOOSE(0, 0, 3.8e-8)); + + /* yn (1, x) == y1 (x) */ + check_isinfn ("yn (1, -1.0) = -inf", FUNC(yn) (1, -1.0)); + check_isinfn ("yn (1, 0) = -inf", FUNC(yn) (1, 0.0)); + check ("yn (1, +Inf) = 0", FUNC(yn) (1, plus_infty), 0); + check_isnan ("yn (1, NaN) = NaN", FUNC(yn) (1, nan_value)); + + check_eps ("yn (1, 0.1) = -6.45895...", FUNC(yn) (1, 0.1), -6.4589510947020269877, + CHOOSE(0, 9e-16, 5e-7)); + check_eps ("yn (1, 0.7) = -1.10324...", FUNC(yn) (1, 0.7), -1.1032498719076333697, + CHOOSE(0, 3e-16, 0)); + check_eps ("yn (1, 1.0) = -0.78121...", FUNC(yn) (1, 1.0), -0.78121282130028871655, + CHOOSE(0, 2e-16, 0)); + check ("yn (1, 1.5) = -0.41230...", FUNC(yn) (1, 1.5), -0.41230862697391129595); + check_eps ("yn (1, 2.0) = -0.10703...", FUNC(yn) (1, 2.0), -0.10703243154093754689, + CHOOSE(0, 2e-17, 2e-8)); + check_eps ("yn (1, 8.0) = -0.15806...", FUNC(yn) (1, 8.0), -0.15806046173124749426, + CHOOSE(0, 0, 3e-8)); + check_eps ("yn (1, 10.0) = 0.24901...", FUNC(yn) (1, 10.0), 0.24901542420695388392, + CHOOSE(0, 9e-17, 3e-8)); + + /* yn (3, x) */ + check ("yn (3, +Inf) = 0", FUNC(yn) (3, plus_infty), 0); + check_isnan ("yn (3, NaN) = NaN", FUNC(yn) (3, nan_value)); + + check_eps ("yn (3, 0.1) = -5099.3...", FUNC(yn) (3, 0.1), -5099.3323786129048894, + CHOOSE(0, 1e-12, 5e-4)); + check_eps ("yn (3, 0.7) = -15.819...", FUNC(yn) (3, 0.7), -15.819479052819633505, + CHOOSE(0, 4e-15, 0)); + check ("yn (3, 1.0) = -5.8215...", FUNC(yn) (3, 1.0), -5.8215176059647288478); + check_eps ("yn (3, 2.0) = -1.1277...", FUNC(yn) (3, 2.0), -1.1277837768404277861, + CHOOSE(0, 3e-16, 0)); + check_eps ("yn (3, 10.0) = -0.25136...", FUNC(yn) (3, 10.0), -0.25136265718383732978, + CHOOSE(0, 6e-17, 3e-8)); + + /* yn (10, x) */ + check ("yn (10, +Inf) = 0", FUNC(yn) (10, plus_infty), 0); + check_isnan ("yn (10, NaN) = NaN", FUNC(yn) (10, nan_value)); + + check_eps ("yn (10, 0.1) = -1.183...*10^18", FUNC(yn) (10, 0.1), -0.11831335132045197885e19, + CHOOSE(0, 6e2, 2e11)); + check_eps ("yn (10, 0.7) = -4.244...*10^9", FUNC(yn) (10, 0.7), -0.42447194260703866924e10, + CHOOSE(0, 3e-6, 6e2)); + check_eps ("yn (10, 1.0) = -1.216...*10^8", FUNC(yn) (10, 1.0), -0.12161801427868918929e9, + CHOOSE(0, 0, 9)); + check_eps ("yn (10, 2.0) = -129184.5...", FUNC(yn) (10, 2.0), -129184.54220803928264, + CHOOSE(0, 3e-11, 8e-3)); + check_eps ("yn (10, 10.0) = -0.35981...", FUNC(yn) (10, 10.0), -0.35981415218340272205, + CHOOSE(0, 6e-17, 3e-8)); + +} + /* Tests for the comparison macros */ typedef enum { is_less, is_equal, is_greater, is_unordered } comp_result; @@ -6112,8 +6275,10 @@ main (int argc, char *argv[]) /* Bessel functions */ j0_test (); j1_test (); + jn_test (); y0_test (); y1_test (); + yn_test (); /* special tests */ identities (); |