diff options
| -rw-r--r-- | ChangeLog | 17 | ||||
| -rw-r--r-- | math/libm-test.inc | 24 | ||||
| -rw-r--r-- | sysdeps/i386/fpu/libm-test-ulps | 25 | ||||
| -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 | ||||
| -rw-r--r-- | sysdeps/sparc/fpu/libm-test-ulps | 47 | ||||
| -rw-r--r-- | sysdeps/x86_64/fpu/libm-test-ulps | 35 |
9 files changed, 154 insertions, 3 deletions
@@ -1,3 +1,20 @@ +2012-11-18 David S. Miller <davem@davemloft.net> + + 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. + 2012-11-18 Andreas Schwab <schwab@linux-m68k.org> * configure.in (libc_cv_ld_gnu_indirect_function): Use .quad on diff --git a/math/libm-test.inc b/math/libm-test.inc index 225a5e1b15..0b254e1738 100644 --- a/math/libm-test.inc +++ b/math/libm-test.inc @@ -10198,6 +10198,18 @@ y0_test (void) TEST_f_f (y0, 0x1.ff00000000002p+840L, 1.846591691699331493194965158699937660696e-127L, UNDERFLOW_EXCEPTION_OK); #endif + TEST_f_f (y0, 0x1p-10L, -4.4865150767109739412411806297168793661098L); + TEST_f_f (y0, 0x1p-20L, -8.8992283012125827603076426611387876938160L); + TEST_f_f (y0, 0x1p-30L, -1.3311940304267782826037118027401817264906e+1L); + TEST_f_f (y0, 0x1p-40L, -1.7724652307320814696990854700366226762563e+1L); + TEST_f_f (y0, 0x1p-50L, -2.2137364310373846564919987139743760738155e+1L); + TEST_f_f (y0, 0x1p-60L, -2.6550076313426878432849115782108205929120e+1L); + TEST_f_f (y0, 0x1p-70L, -3.0962788316479910300778244424468159753887e+1L); + TEST_f_f (y0, 0x1p-80L, -3.5375500319532942168707373066828113573541e+1L); + TEST_f_f (y0, 0x1p-90L, -3.9788212322585974036636501709188067393195e+1L); + TEST_f_f (y0, 0x1p-100L, -4.420092432563900590456563035154802121284e+1L); + TEST_f_f (y0, 0x1p-110L, -4.861363632869203777249475899390797503250e+1L); + END (y0); } @@ -10241,6 +10253,18 @@ y1_test (void) TEST_f_f (y1, 0x1.001000001p+593L, 3.927269966354206207832593635798954916263e-90L, UNDERFLOW_EXCEPTION_OK); #endif + TEST_f_f (y1, 0x1p-10L, -6.5190099301063115047395187618929589514382e+02L); + TEST_f_f (y1, 0x1p-20L, -6.6754421443450423911167962313100637952285e+05L); + TEST_f_f (y1, 0x1p-30L, -6.8356527557643159612937462812258975438856e+08L); + TEST_f_f (y1, 0x1p-40L, -6.9997084219026594793707805777425993547887e+11L); + TEST_f_f (y1, 0x1p-50L, -7.1677014240283233068755952926181262431559e+14L); + TEST_f_f (y1, 0x1p-60L, -7.3397262582050030662406095795388448059822e+17L); + TEST_f_f (y1, 0x1p-70L, -7.5158796884019231398303842094477769620063e+20L); + TEST_f_f (y1, 0x1p-80L, -7.6962608009235692951863134304745236090943e+23L); + TEST_f_f (y1, 0x1p-90L, -7.8809710601457349582707849528059121757126e+26L); + TEST_f_f (y1, 0x1p-100L, -8.0701143655892325972692837916732540679297e+29L); + TEST_f_f (y1, 0x1p-110L, -8.2637971103633741796037466026734121655600e+32L); + END (y1); } diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps index 239da44a79..8da973a2f6 100644 --- a/sysdeps/i386/fpu/libm-test-ulps +++ b/sysdeps/i386/fpu/libm-test-ulps @@ -3015,6 +3015,28 @@ ldouble: 1 Test "y0 (0x1.ff00000000002p+840) == 1.846591691699331493194965158699937660696e-127": double: 1 idouble: 1 +Test "y0 (0x1p-10) == -4.4865150767109739412411806297168793661098": +ildouble: 1 +ldouble: 1 +Test "y0 (0x1p-30) == -1.3311940304267782826037118027401817264906e+1": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "y0 (0x1p-40) == -1.7724652307320814696990854700366226762563e+1": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "y0 (0x1p-60) == -2.6550076313426878432849115782108205929120e+1": +double: 1 +idouble: 1 +Test "y0 (0x1p-70) == -3.0962788316479910300778244424468159753887e+1": +double: 1 +idouble: 1 +Test "y0 (0x1p-80) == -3.5375500319532942168707373066828113573541e+1": +double: 1 +idouble: 1 Test "y0 (1.0) == 0.0882569642156769579829267660235151628": double: 2 float: 1 @@ -3056,6 +3078,9 @@ idouble: 1 ifloat: 2 ildouble: 1 ldouble: 1 +Test "y1 (0x1p-10) == -6.5190099301063115047395187618929589514382e+02": +float: 1 +ifloat: 1 Test "y1 (1.0) == -0.781212821300288716547150000047964821": double: 1 idouble: 1 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 */ diff --git a/sysdeps/sparc/fpu/libm-test-ulps b/sysdeps/sparc/fpu/libm-test-ulps index 0f8179f6b4..ec0ad66204 100644 --- a/sysdeps/sparc/fpu/libm-test-ulps +++ b/sysdeps/sparc/fpu/libm-test-ulps @@ -1328,8 +1328,8 @@ Test "Imaginary part of: clog10 (0xf2p-10 + 0x3e3p-10 i) == 2.692124017335111295 double: 1 idouble: 1 Test "Imaginary part of: clog10 (0xfd95243681c055c2632286921092p-113 + 0x1bccabcd29ca2152860ec29e34ef7p-113 i) == 2.8774482675253468630312378575186855052697e-66 + 0.4571561610046221605554903008571429975493 i": -ldouble: 2 ildouble: 2 +ldouble: 2 Test "Imaginary part of: clog10 (0xfe961079616p-45 + 0x1bc37e09e6d1p-45 i) == 2.3329549194675052736016290082882121135546e-26 + 0.4561756099441139182878993697611751382976 i": double: 1 idouble: 1 @@ -2861,6 +2861,43 @@ double: 1 idouble: 1 ildouble: 1 ldouble: 1 +Test "y0 (0x1p-10) == -4.4865150767109739412411806297168793661098": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "y0 (0x1p-110) == -4.861363632869203777249475899390797503250e+1": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "y0 (0x1p-20) == -8.8992283012125827603076426611387876938160": +float: 1 +ifloat: 1 +Test "y0 (0x1p-30) == -1.3311940304267782826037118027401817264906e+1": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "y0 (0x1p-40) == -1.7724652307320814696990854700366226762563e+1": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "y0 (0x1p-50) == -2.2137364310373846564919987139743760738155e+1": +float: 1 +ifloat: 1 +Test "y0 (0x1p-60) == -2.6550076313426878432849115782108205929120e+1": +ildouble: 1 +ldouble: 1 +Test "y0 (0x1p-70) == -3.0962788316479910300778244424468159753887e+1": +double: 1 +idouble: 1 +Test "y0 (0x1p-80) == -3.5375500319532942168707373066828113573541e+1": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 Test "y0 (1.0) == 0.0882569642156769579829267660235151628": double: 2 float: 1 @@ -2897,6 +2934,14 @@ ldouble: 1 Test "y1 (0x1.27e204p+99) == -8.881610148467797208469612080785210013461e-16": double: 1 idouble: 1 +Test "y1 (0x1p-10) == -6.5190099301063115047395187618929589514382e+02": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "y1 (0x1p-30) == -6.8356527557643159612937462812258975438856e+08": +ildouble: 1 +ldouble: 1 Test "y1 (1.5) == -0.412308626973911295952829820633445323": float: 1 ifloat: 1 diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps index 9c5157ff7e..4767be94db 100644 --- a/sysdeps/x86_64/fpu/libm-test-ulps +++ b/sysdeps/x86_64/fpu/libm-test-ulps @@ -2796,6 +2796,38 @@ ldouble: 1 Test "y0 (0x1.ff00000000002p+840) == 1.846591691699331493194965158699937660696e-127": double: 1 idouble: 1 +Test "y0 (0x1p-10) == -4.4865150767109739412411806297168793661098": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 +Test "y0 (0x1p-110) == -4.861363632869203777249475899390797503250e+1": +double: 1 +idouble: 1 +Test "y0 (0x1p-20) == -8.8992283012125827603076426611387876938160": +float: 1 +ifloat: 1 +Test "y0 (0x1p-30) == -1.3311940304267782826037118027401817264906e+1": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "y0 (0x1p-40) == -1.7724652307320814696990854700366226762563e+1": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +Test "y0 (0x1p-50) == -2.2137364310373846564919987139743760738155e+1": +float: 1 +ifloat: 1 +Test "y0 (0x1p-70) == -3.0962788316479910300778244424468159753887e+1": +double: 1 +idouble: 1 +Test "y0 (0x1p-80) == -3.5375500319532942168707373066828113573541e+1": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 Test "y0 (1.0) == 0.0882569642156769579829267660235151628": double: 2 float: 1 @@ -2837,6 +2869,9 @@ idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 +Test "y1 (0x1p-10) == -6.5190099301063115047395187618929589514382e+02": +double: 1 +idouble: 1 Test "y1 (1.5) == -0.412308626973911295952829820633445323": float: 1 ifloat: 1 |