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-rw-r--r--math/libm-test.c78
1 files changed, 44 insertions, 34 deletions
diff --git a/math/libm-test.c b/math/libm-test.c
index 3e50330..de1e23b 100644
--- a/math/libm-test.c
+++ b/math/libm-test.c
@@ -5514,13 +5514,14 @@ j0_test (void)
check ("j0 (0.1) = 0.99750...", FUNC(j0) (0.1), 0.99750156206604003228);
check ("j0 (0.7) = 0.88120...", FUNC(j0) (0.7), 0.88120088860740528084);
check ("j0 (1.0) = 0.76519...", FUNC(j0) (1.0), 0.76519768655796655145);
- check ("j0 (1.5) = 0.51182...", FUNC(j0) (1.5), 0.51182767173591812875);
+ check_eps ("j0 (1.5) = 0.51182...", FUNC(j0) (1.5), 0.51182767173591812875,
+ CHOOSE (0, 0, 6e-8));
check_eps ("j0 (2.0) = 0.22389...", FUNC(j0) (2.0), 0.22389077914123566805,
CHOOSE(0, 3e-17, 1.5e-8));
check_eps ("j0 (8.0) = 0.17165...", FUNC(j0) (8.0), 0.17165080713755390609,
CHOOSE(0, 0, 1.5e-8));
check_eps ("j0 (10.0) = -0.24593...", FUNC(j0) (10.0), -0.24593576445134833520,
- CHOOSE(0, 6e-17, 1.5e-8));
+ CHOOSE(0, 6e-17, 5e-8));
}
static void
@@ -5536,18 +5537,21 @@ j1_test (void)
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_eps ("j1 (-1.0) = -0.44005...", FUNC(j1) (-1.0),
+ -0.44005058574493351596, CHOOSE (0, 0, 3e-8));
check ("j1 (0) = 0", FUNC(j1) (0.0), 0.0);
check ("j1 (0.1) = 0.049937...", FUNC(j1) (0.1), 0.049937526036241997556);
check ("j1 (0.7) = 0.32899...", FUNC(j1) (0.7), 0.32899574154005894785);
- check ("j1 (1.0) = 0.44005...", FUNC(j1) (1.0), 0.44005058574493351596);
- check ("j1 (1.5) = 0.55793...", FUNC(j1) (1.5), 0.55793650791009964199);
+ check_eps ("j1 (1.0) = 0.44005...", FUNC(j1) (1.0), 0.44005058574493351596,
+ CHOOSE (0, 0, 3e-8));
+ check_eps ("j1 (1.5) = 0.55793...", FUNC(j1) (1.5), 0.55793650791009964199,
+ CHOOSE (0, 0, 6e-8));
check_eps ("j1 (2.0) = 0.57672...", FUNC(j1) (2.0), 0.57672480775687338720,
CHOOSE(0, 2e-16, 0));
check_eps ("j1 (8.0) = 0.23463...", FUNC(j1) (8.0), 0.23463634685391462438,
CHOOSE(0, 0, 1.5e-8));
check_eps ("j1 (10.0) = 0.04347...", FUNC(j1) (10.0), 0.043472746168861436670,
- CHOOSE(0, 2e-17, 3.8e-9));
+ CHOOSE(0, 2e-17, 7.5e-9));
}
static void
@@ -5569,64 +5573,70 @@ jn_test (void)
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, 1.5) = 0.51182...", FUNC(jn) (0, 1.5),
+ 0.51182767173591812875, CHOOSE (0, 0, 6e-8));
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));
+ CHOOSE(0, 6e-17, 4.5e-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_eps ("jn (1, -1.0) = -0.44005...", FUNC(jn) (1, -1.0),
+ -0.44005058574493351596, CHOOSE (0, 0, 3e-8));
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, 1.0) = 0.44005...", FUNC(jn) (1, 1.0),
+ 0.44005058574493351596, CHOOSE (0, 0, 3e-8));
+ check_eps ("jn (1, 1.5) = 0.55793...", FUNC(jn) (1, 1.5),
+ 0.55793650791009964199, CHOOSE (0, 0, 6e-8));
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, 2e-17, 3.8e-9));
+ CHOOSE(0, 2e-17, 7.5e-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_eps ("jn (3, -1.0) = -0.01956...", FUNC(jn) (3, -1.0),
+ -0.019563353982668405919, CHOOSE (0, 0, 1.9e-9));
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, 1.0) = 0.01956...", FUNC(jn) (3, 1.0),
+ 0.019563353982668405919, CHOOSE (0, 0, 1.9e-9));
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));
+ CHOOSE(0, 3e-17, 1.9e-8));
/* 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));
+ CHOOSE(0, 0, 5.6e-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, 4e-27));
+ CHOOSE(0, 2e-35, 9.7e-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));
+ CHOOSE(0, 7e-27, 1.8e-18));
check_eps ("jn (10, 1.0) = 2.630...*10^-11", FUNC(jn) (10, 1.0), 0.26306151236874532070e-9,
- CHOOSE(0, 0, 3e-17));
+ CHOOSE(0, 0, 5.6e-17));
check_eps ("jn (10, 2.0) = 2.515...*10^-7", FUNC(jn) (10, 2.0), 0.25153862827167367096e-6,
- CHOOSE(0, 2e-22, 0));
+ CHOOSE(0, 2e-22, 5.7e-14));
check_eps ("jn (10, 10.0) = 0.20748...", FUNC(jn) (10, 10.0), 0.20748610663335885770,
- CHOOSE(0, 2e-16, 3e-8));
+ CHOOSE(0, 2e-16, 1.4e-7));
}
static void
@@ -5645,7 +5655,7 @@ y0_test (void)
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));
+ CHOOSE(0, 3e-16, 2.4e-7));
check_eps ("y0 (0.7) = -0.19066...", FUNC(y0) (0.7), -0.19066492933739506743,
CHOOSE(0, 6e-17, 1.5e-8));
check_eps ("y0 (1.0) = 0.08825...", FUNC(y0) (1.0), 0.088256964215676957983,
@@ -5653,7 +5663,7 @@ y0_test (void)
check_eps ("y0 (1.5) = 0.38244...", FUNC(y0) (1.5), 0.38244892379775884396,
CHOOSE(0, 6e-17, 3.0e-8));
check_eps ("y0 (2.0) = 0.51037...", FUNC(y0) (2.0), 0.51037567264974511960,
- CHOOSE(0, 2e-16 ,0));
+ CHOOSE(0, 2e-16, 6e-8));
check_eps ("y0 (8.0) = 0.22352...", FUNC(y0) (8.0), 0.22352148938756622053,
CHOOSE(0, 3e-17, 1.5e-8));
check_eps ("y0 (10.0) = 0.05567...", FUNC(y0) (10.0), 0.055671167283599391424,
@@ -5677,13 +5687,13 @@ y1_test (void)
check_isnan ("y1 (NaN) = NaN", FUNC(y1) (nan_value));
check_eps ("y1 (0.1) = -6.45895...", FUNC(y1) (0.1), -6.4589510947020269877,
- CHOOSE(0, 9e-16, 4.8e-7));
+ CHOOSE(0, 9e-16, 9.6e-7));
check_eps ("y1 (0.7) = -1.10324...", FUNC(y1) (0.7), -1.1032498719076333697,
- CHOOSE(0, 3e-16, 0));
+ CHOOSE(0, 3e-16, 1.2e-7));
check_eps ("y1 (1.0) = -0.78121...", FUNC(y1) (1.0), -0.78121282130028871655,
CHOOSE(0, 2e-16, 0));
check_eps ("y1 (1.5) = -0.41230...", FUNC(y1) (1.5), -0.41230862697391129595,
- CHOOSE (0, 0, 3e-8));
+ CHOOSE (0, 0, 6e-8));
check_eps ("y1 (2.0) = -0.10703...", FUNC(y1) (2.0), -0.10703243154093754689,
CHOOSE(0, 2e-17, 1.5e-8));
check_eps ("y1 (8.0) = -0.15806...", FUNC(y1) (8.0), -0.15806046173124749426,
@@ -5710,15 +5720,15 @@ yn_test (void)
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));
+ CHOOSE(0, 3e-16, 9.6e-7));
check_eps ("yn (0, 0.7) = -0.19066...", FUNC(yn) (0, 0.7), -0.19066492933739506743,
- CHOOSE(0, 6e-17, 2e-8));
+ CHOOSE(0, 6e-17, 1.2e-7));
check_eps ("yn (0, 1.0) = 0.08825...", FUNC(yn) (0, 1.0), 0.088256964215676957983,
- CHOOSE(0, 2e-17, 8e-9));
+ CHOOSE(0, 2e-17, 3e-8));
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));
+ CHOOSE(0, 2e-16, 6e-8));
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,
@@ -5750,12 +5760,12 @@ yn_test (void)
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));
+ CHOOSE(0, 1e-12, 9.8e-4));
check_eps ("yn (3, 0.7) = -15.819...", FUNC(yn) (3, 0.7), -15.819479052819633505,
- CHOOSE(0, 4e-15, 0));
+ CHOOSE(0, 4e-15, 9.6e-7));
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));
+ CHOOSE(0, 3e-16, 1.2e-7));
check_eps ("yn (3, 10.0) = -0.25136...", FUNC(yn) (3, 10.0), -0.25136265718383732978,
CHOOSE(0, 6e-17, 3e-8));
@@ -5764,7 +5774,7 @@ yn_test (void)
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));
+ CHOOSE(0, 6e2, 2.8e11));
check_eps ("yn (10, 0.7) = -4.244...*10^9", FUNC(yn) (10, 0.7), -0.42447194260703866924e10,
CHOOSE(0, 3e-6, 8e2));
check_eps ("yn (10, 1.0) = -1.216...*10^8", FUNC(yn) (10, 1.0), -0.12161801427868918929e9,