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author | David S. Miller <davem@davemloft.net> | 2012-11-18 12:33:53 -0800 |
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committer | David S. Miller <davem@davemloft.net> | 2012-11-18 12:33:53 -0800 |
commit | 05b227bdaea9a5f1faf08dad31221d8736f3659d (patch) | |
tree | 06e947ef8dbcee671b979246fa994fba53081e4c /sysdeps/ieee754 | |
parent | 786b0b67a3019e84988a6d5a79fd97801580a1cd (diff) | |
download | glibc-05b227bdaea9a5f1faf08dad31221d8736f3659d.tar.gz glibc-05b227bdaea9a5f1faf08dad31221d8736f3659d.tar.xz glibc-05b227bdaea9a5f1faf08dad31221d8736f3659d.zip |
Correct tinyness handling in long-double and float y0/y1.
With help from Joseph Myers. * sysdeps/ieee754/flt-32/e_j0f.c (__ieee754_y0f): Adjust tinyness cutoff to 2**-13. * sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_y1f): Adjust tinyness cutoff to 2**-25. * sysdeps/ieee754/ldbl-128/e_j0l.c (U0): New constant. ( __ieee754_y0l): Avoid arithmetic underflow when 'x' is very small. * sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_y1l): Likewise. * math/libm-test.inc (y0_test): New tests. (y1_test): New tests. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Update. * sysdeps/sparc/fpu/libm-test-ulps: Update.
Diffstat (limited to 'sysdeps/ieee754')
-rw-r--r-- | sysdeps/ieee754/flt-32/e_j0f.c | 2 | ||||
-rw-r--r-- | sysdeps/ieee754/flt-32/e_j1f.c | 2 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-128/e_j0l.c | 3 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-128/e_j1l.c | 2 |
4 files changed, 7 insertions, 2 deletions
diff --git a/sysdeps/ieee754/flt-32/e_j0f.c b/sysdeps/ieee754/flt-32/e_j0f.c index 0729cd04e0..c4cabd584a 100644 --- a/sysdeps/ieee754/flt-32/e_j0f.c +++ b/sysdeps/ieee754/flt-32/e_j0f.c @@ -138,7 +138,7 @@ __ieee754_y0f(float x) } return z; } - if(ix<=0x32000000) { /* x < 2**-27 */ + if(ix<=0x39800000) { /* x < 2**-13 */ return(u00 + tpi*__ieee754_logf(x)); } z = x*x; diff --git a/sysdeps/ieee754/flt-32/e_j1f.c b/sysdeps/ieee754/flt-32/e_j1f.c index 30b7d8e250..cb9f97fa28 100644 --- a/sysdeps/ieee754/flt-32/e_j1f.c +++ b/sysdeps/ieee754/flt-32/e_j1f.c @@ -133,7 +133,7 @@ __ieee754_y1f(float x) } return z; } - if(__builtin_expect(ix<=0x24800000, 0)) { /* x < 2**-54 */ + if(__builtin_expect(ix<=0x33000000, 0)) { /* x < 2**-25 */ return(-tpi/x); } z = x*x; diff --git a/sysdeps/ieee754/ldbl-128/e_j0l.c b/sysdeps/ieee754/ldbl-128/e_j0l.c index 112a8f3f9c..1b18289588 100644 --- a/sysdeps/ieee754/ldbl-128/e_j0l.c +++ b/sysdeps/ieee754/ldbl-128/e_j0l.c @@ -809,6 +809,7 @@ static long double Y0_2D[NY0_2D + 1] = { /* 1.000000000000000000000000000000000000000E0 */ }; +static const long double U0 = -7.3804295108687225274343927948483016310862e-02L; /* Bessel function of the second kind, order zero. */ @@ -831,6 +832,8 @@ long double return -HUGE_VALL + x; } xx = fabsl (x); + if (xx <= 0x1p-57) + return U0 + TWOOPI * __ieee754_logl (x); if (xx <= 2.0L) { /* 0 <= x <= 2 */ diff --git a/sysdeps/ieee754/ldbl-128/e_j1l.c b/sysdeps/ieee754/ldbl-128/e_j1l.c index 1f62bd0920..f16343b26b 100644 --- a/sysdeps/ieee754/ldbl-128/e_j1l.c +++ b/sysdeps/ieee754/ldbl-128/e_j1l.c @@ -838,6 +838,8 @@ __ieee754_y1l (long double x) return -HUGE_VALL + x; } xx = fabsl (x); + if (xx <= 0x1p-114) + return -TWOOPI / x; if (xx <= 2.0L) { /* 0 <= x <= 2 */ |