From 8020a808870dc6199e584562b3b64f52054359e8 Mon Sep 17 00:00:00 2001 From: Joseph Myers Date: Fri, 15 May 2015 22:07:57 +0000 Subject: Fix atanhl missing underflows (bug 16352). Similar to various other bugs in this area, some atanh implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. (No change in this regard is needed for the i386 implementation; special handling to force underflows in these cases will only be needed there when the spurious underflows, bug 18049, get fixed.) Tested for x86_64, x86, powerpc and mips64. [BZ #16352] * sysdeps/i386/fpu/e_atanh.S (dbl_min): New object. (__ieee754_atanh): Force underflow exception for results with small absolute value. * sysdeps/i386/fpu/e_atanhf.S (flt_min): New object. (__ieee754_atanhf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/dbl-64/e_atanh.c: Include . (__ieee754_atanh): Force underflow exception for results with small absolute value. * sysdeps/ieee754/flt-32/e_atanhf.c: Include . (__ieee754_atanhf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128/e_atanhl.c: Include . (__ieee754_atanhl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128ibm/e_atanhl.c: Include . (__ieee754_atanhl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-96/e_atanhl.c: Include . (__ieee754_atanhl): Force underflow exception for results with small absolute value. * math/auto-libm-test-in: Do not allow missing underflow exceptions from atanh. * math/auto-libm-test-out: Regenerated. --- math/auto-libm-test-in | 13 ++- math/auto-libm-test-out | 236 ++++++++++++++++++++++++------------------------ 2 files changed, 124 insertions(+), 125 deletions(-) (limited to 'math') diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in index e483569..6fe0ed7 100644 --- a/math/auto-libm-test-in +++ b/math/auto-libm-test-in @@ -382,13 +382,12 @@ atanh 0x3.91d9f3c80c72d7acp-4 atanh -0x2.6c52c26567198p-4 atanh 0x3.a274ecp-4 atanh -0x3.f0f519a687b64p-8 -# Bug 16352: underflow exception may be missing. -atanh 0x1p-500 missing-underflow -atanh 0x1p-5000 missing-underflow -atanh min missing-underflow -atanh -min missing-underflow -atanh min_subnorm missing-underflow -atanh -min_subnorm missing-underflow +atanh 0x1p-500 +atanh 0x1p-5000 +atanh min +atanh -min +atanh min_subnorm +atanh -min_subnorm # cabs (x,y) == cabs (y,x). cabs 0.75 12.390625 diff --git a/math/auto-libm-test-out b/math/auto-libm-test-out index d7bfbb3..8119f27 100644 --- a/math/auto-libm-test-out +++ b/math/auto-libm-test-out @@ -20533,11 +20533,11 @@ atanh -0x3.f0f519a687b64p-8 = atanh tonearest ldbl-128ibm -0x3.f0f519a687b64p-8L : -0x3.f109829060504072b047c21906p-8L : inexact-ok = atanh towardzero ldbl-128ibm -0x3.f0f519a687b64p-8L : -0x3.f109829060504072b047c21906p-8L : inexact-ok = atanh upward ldbl-128ibm -0x3.f0f519a687b64p-8L : -0x3.f109829060504072b047c21906p-8L : inexact-ok -atanh 0x1p-500 missing-underflow -= atanh downward flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward flt-32 0x8p-152f : 0x1p-148f : inexact-ok underflow underflow-ok errno-erange-ok +atanh 0x1p-500 += atanh downward flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok += atanh tonearest flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok += atanh towardzero flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok += atanh upward flt-32 0x8p-152f : 0x1p-148f : inexact-ok underflow errno-erange-ok = atanh downward dbl-64 0x8p-152 : 0x8p-152 : inexact-ok = atanh tonearest dbl-64 0x8p-152 : 0x8p-152 : inexact-ok = atanh towardzero dbl-64 0x8p-152 : 0x8p-152 : inexact-ok @@ -20602,11 +20602,11 @@ atanh 0x1p-500 missing-underflow = atanh tonearest ldbl-128ibm 0x1p-500L : 0x1p-500L : inexact-ok = atanh towardzero ldbl-128ibm 0x1p-500L : 0x1p-500L : inexact-ok = atanh upward ldbl-128ibm 0x1p-500L : 0x1.000000000000000000000000008p-500L : inexact-ok -atanh 0x1p-5000 missing-underflow -= atanh downward flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward flt-32 0x8p-152f : 0x1p-148f : inexact-ok underflow underflow-ok errno-erange-ok +atanh 0x1p-5000 += atanh downward flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok += atanh tonearest flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok += atanh towardzero flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok += atanh upward flt-32 0x8p-152f : 0x1p-148f : inexact-ok underflow errno-erange-ok = atanh downward dbl-64 0x8p-152 : 0x8p-152 : inexact-ok = atanh tonearest dbl-64 0x8p-152 : 0x8p-152 : inexact-ok = atanh towardzero dbl-64 0x8p-152 : 0x8p-152 : inexact-ok @@ -20651,10 +20651,10 @@ atanh 0x1p-5000 missing-underflow = atanh tonearest ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok = atanh towardzero ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok = atanh upward ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok -= atanh downward dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward dbl-64 0x4p-1076 : 0x8p-1076 : inexact-ok underflow underflow-ok errno-erange-ok += atanh downward dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow errno-erange-ok += atanh tonearest dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow errno-erange-ok += atanh towardzero dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow errno-erange-ok += atanh upward dbl-64 0x4p-1076 : 0x8p-1076 : inexact-ok underflow errno-erange-ok = atanh downward ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok = atanh tonearest ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok = atanh towardzero ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok @@ -20667,10 +20667,10 @@ atanh 0x1p-5000 missing-underflow = atanh tonearest ldbl-128 0x4p-1076L : 0x4p-1076L : inexact-ok = atanh towardzero ldbl-128 0x4p-1076L : 0x4p-1076L : inexact-ok = atanh upward ldbl-128 0x4p-1076L : 0x4.0000000000000000000000000004p-1076L : inexact-ok -= atanh downward ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-128ibm 0x4p-1076L : 0x8p-1076L : inexact-ok underflow underflow-ok errno-erange-ok += atanh downward ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-128ibm 0x4p-1076L : 0x8p-1076L : inexact-ok underflow errno-erange-ok = atanh downward ldbl-96-intel 0x1p-5000L : 0x1p-5000L : inexact-ok = atanh tonearest ldbl-96-intel 0x1p-5000L : 0x1p-5000L : inexact-ok = atanh towardzero ldbl-96-intel 0x1p-5000L : 0x1p-5000L : inexact-ok @@ -20683,7 +20683,7 @@ atanh 0x1p-5000 missing-underflow = atanh tonearest ldbl-128 0x1p-5000L : 0x1p-5000L : inexact-ok = atanh towardzero ldbl-128 0x1p-5000L : 0x1p-5000L : inexact-ok = atanh upward ldbl-128 0x1p-5000L : 0x1.0000000000000000000000000001p-5000L : inexact-ok -atanh min missing-underflow +atanh min = atanh downward flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok errno-erange-ok = atanh tonearest flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok errno-erange-ok = atanh towardzero flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok errno-erange-ok @@ -20724,10 +20724,10 @@ atanh min missing-underflow = atanh tonearest ldbl-128 0x4p-1024L : 0x4p-1024L : inexact-ok = atanh towardzero ldbl-128 0x4p-1024L : 0x4p-1024L : inexact-ok = atanh upward ldbl-128 0x4p-1024L : 0x4.0000000000000000000000000004p-1024L : inexact-ok -= atanh downward ldbl-128ibm 0x4p-1024L : 0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-128ibm 0x4p-1024L : 0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-128ibm 0x4p-1024L : 0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-128ibm 0x4p-1024L : 0x4.0000000000004p-1024L : inexact-ok underflow underflow-ok errno-erange-ok += atanh downward ldbl-128ibm 0x4p-1024L : 0x4p-1024L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-128ibm 0x4p-1024L : 0x4p-1024L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-128ibm 0x4p-1024L : 0x4p-1024L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-128ibm 0x4p-1024L : 0x4.0000000000004p-1024L : inexact-ok underflow errno-erange-ok = atanh downward ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh tonearest ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh towardzero ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok @@ -20740,18 +20740,18 @@ atanh min missing-underflow = atanh tonearest ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh towardzero ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh upward ldbl-128 0x4p-16384L : 0x4.0000000000000000000000000004p-16384L : inexact-ok underflow-ok errno-erange-ok -= atanh downward ldbl-96-intel 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-96-intel 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-96-intel 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-96-intel 0x2p-16384L : 0x2.0000000000000008p-16384L : inexact-ok underflow underflow-ok errno-erange-ok += atanh downward ldbl-96-intel 0x2p-16384L : 0x2p-16384L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-96-intel 0x2p-16384L : 0x2p-16384L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-96-intel 0x2p-16384L : 0x2p-16384L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-96-intel 0x2p-16384L : 0x2.0000000000000008p-16384L : inexact-ok underflow errno-erange-ok = atanh downward ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh tonearest ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh towardzero ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh upward ldbl-96-m68k 0x2p-16384L : 0x2.0000000000000004p-16384L : inexact-ok underflow-ok errno-erange-ok -= atanh downward ldbl-128 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-128 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-128 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-128 0x2p-16384L : 0x2.0000000000000000000000000004p-16384L : inexact-ok underflow underflow-ok errno-erange-ok += atanh downward ldbl-128 0x2p-16384L : 0x2p-16384L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-128 0x2p-16384L : 0x2p-16384L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-128 0x2p-16384L : 0x2p-16384L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-128 0x2p-16384L : 0x2.0000000000000000000000000004p-16384L : inexact-ok underflow errno-erange-ok = atanh downward dbl-64 0x8p-972 : 0x8p-972 : inexact-ok = atanh tonearest dbl-64 0x8p-972 : 0x8p-972 : inexact-ok = atanh towardzero dbl-64 0x8p-972 : 0x8p-972 : inexact-ok @@ -20772,7 +20772,7 @@ atanh min missing-underflow = atanh tonearest ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok errno-erange-ok = atanh towardzero ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok errno-erange-ok = atanh upward ldbl-128ibm 0x8p-972L : 0x8.00000000000000000000000004p-972L : inexact-ok underflow-ok errno-erange-ok -atanh -min missing-underflow +atanh -min = atanh downward flt-32 -0x4p-128f : -0x4.000008p-128f : inexact-ok underflow-ok errno-erange-ok = atanh tonearest flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok errno-erange-ok = atanh towardzero flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok errno-erange-ok @@ -20813,10 +20813,10 @@ atanh -min missing-underflow = atanh tonearest ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok = atanh towardzero ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok = atanh upward ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok -= atanh downward ldbl-128ibm -0x4p-1024L : -0x4.0000000000004p-1024L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok += atanh downward ldbl-128ibm -0x4p-1024L : -0x4.0000000000004p-1024L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow errno-erange-ok = atanh downward ldbl-96-intel -0x4p-16384L : -0x4.0000000000000008p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh tonearest ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh towardzero ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok @@ -20829,18 +20829,18 @@ atanh -min missing-underflow = atanh tonearest ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh towardzero ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh upward ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok -= atanh downward ldbl-96-intel -0x2p-16384L : -0x2.0000000000000008p-16384L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok += atanh downward ldbl-96-intel -0x2p-16384L : -0x2.0000000000000008p-16384L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow errno-erange-ok = atanh downward ldbl-96-m68k -0x2p-16384L : -0x2.0000000000000004p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh tonearest ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh towardzero ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok errno-erange-ok = atanh upward ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok errno-erange-ok -= atanh downward ldbl-128 -0x2p-16384L : -0x2.0000000000000000000000000004p-16384L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-128 -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-128 -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-128 -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok += atanh downward ldbl-128 -0x2p-16384L : -0x2.0000000000000000000000000004p-16384L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-128 -0x2p-16384L : -0x2p-16384L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-128 -0x2p-16384L : -0x2p-16384L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-128 -0x2p-16384L : -0x2p-16384L : inexact-ok underflow errno-erange-ok = atanh downward dbl-64 -0x8p-972 : -0x8.0000000000008p-972 : inexact-ok = atanh tonearest dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok = atanh towardzero dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok @@ -20861,11 +20861,11 @@ atanh -min missing-underflow = atanh tonearest ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok errno-erange-ok = atanh towardzero ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok errno-erange-ok = atanh upward ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok errno-erange-ok -atanh min_subnorm missing-underflow -= atanh downward flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward flt-32 0x8p-152f : 0x1p-148f : inexact-ok underflow underflow-ok errno-erange-ok +atanh min_subnorm += atanh downward flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok += atanh tonearest flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok += atanh towardzero flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok += atanh upward flt-32 0x8p-152f : 0x1p-148f : inexact-ok underflow errno-erange-ok = atanh downward dbl-64 0x8p-152 : 0x8p-152 : inexact-ok = atanh tonearest dbl-64 0x8p-152 : 0x8p-152 : inexact-ok = atanh towardzero dbl-64 0x8p-152 : 0x8p-152 : inexact-ok @@ -20886,10 +20886,10 @@ atanh min_subnorm missing-underflow = atanh tonearest ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok = atanh towardzero ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok = atanh upward ldbl-128ibm 0x8p-152L : 0x8.00000000000000000000000004p-152L : inexact-ok -= atanh downward dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward dbl-64 0x4p-1076 : 0x8p-1076 : inexact-ok underflow underflow-ok errno-erange-ok += atanh downward dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow errno-erange-ok += atanh tonearest dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow errno-erange-ok += atanh towardzero dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow errno-erange-ok += atanh upward dbl-64 0x4p-1076 : 0x8p-1076 : inexact-ok underflow errno-erange-ok = atanh downward ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok = atanh tonearest ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok = atanh towardzero ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok @@ -20902,39 +20902,39 @@ atanh min_subnorm missing-underflow = atanh tonearest ldbl-128 0x4p-1076L : 0x4p-1076L : inexact-ok = atanh towardzero ldbl-128 0x4p-1076L : 0x4p-1076L : inexact-ok = atanh upward ldbl-128 0x4p-1076L : 0x4.0000000000000000000000000004p-1076L : inexact-ok -= atanh downward ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-128ibm 0x4p-1076L : 0x8p-1076L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh downward ldbl-96-intel 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-96-intel 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-96-intel 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-96-intel 0x8p-16448L : 0x1p-16444L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh downward ldbl-96-m68k 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-96-m68k 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-96-m68k 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-96-m68k 0x8p-16448L : 0xcp-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh downward ldbl-128 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-128 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-128 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-128 0x8p-16448L : 0x8.000000000004p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh downward ldbl-96-m68k 0x4p-16448L : 0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-96-m68k 0x4p-16448L : 0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-96-m68k 0x4p-16448L : 0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-96-m68k 0x4p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh downward ldbl-128 0x4p-16448L : 0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-128 0x4p-16448L : 0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-128 0x4p-16448L : 0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-128 0x4p-16448L : 0x4.000000000004p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh downward ldbl-128 0x4p-16496L : 0x4p-16496L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-128 0x4p-16496L : 0x4p-16496L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-128 0x4p-16496L : 0x4p-16496L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-128 0x4p-16496L : 0x8p-16496L : inexact-ok underflow underflow-ok errno-erange-ok -atanh -min_subnorm missing-underflow -= atanh downward flt-32 -0x8p-152f : -0x1p-148f : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok += atanh downward ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-128ibm 0x4p-1076L : 0x8p-1076L : inexact-ok underflow errno-erange-ok += atanh downward ldbl-96-intel 0x8p-16448L : 0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-96-intel 0x8p-16448L : 0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-96-intel 0x8p-16448L : 0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-96-intel 0x8p-16448L : 0x1p-16444L : inexact-ok underflow errno-erange-ok += atanh downward ldbl-96-m68k 0x8p-16448L : 0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-96-m68k 0x8p-16448L : 0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-96-m68k 0x8p-16448L : 0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-96-m68k 0x8p-16448L : 0xcp-16448L : inexact-ok underflow errno-erange-ok += atanh downward ldbl-128 0x8p-16448L : 0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-128 0x8p-16448L : 0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-128 0x8p-16448L : 0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-128 0x8p-16448L : 0x8.000000000004p-16448L : inexact-ok underflow errno-erange-ok += atanh downward ldbl-96-m68k 0x4p-16448L : 0x4p-16448L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-96-m68k 0x4p-16448L : 0x4p-16448L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-96-m68k 0x4p-16448L : 0x4p-16448L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-96-m68k 0x4p-16448L : 0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh downward ldbl-128 0x4p-16448L : 0x4p-16448L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-128 0x4p-16448L : 0x4p-16448L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-128 0x4p-16448L : 0x4p-16448L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-128 0x4p-16448L : 0x4.000000000004p-16448L : inexact-ok underflow errno-erange-ok += atanh downward ldbl-128 0x4p-16496L : 0x4p-16496L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-128 0x4p-16496L : 0x4p-16496L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-128 0x4p-16496L : 0x4p-16496L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-128 0x4p-16496L : 0x8p-16496L : inexact-ok underflow errno-erange-ok +atanh -min_subnorm += atanh downward flt-32 -0x8p-152f : -0x1p-148f : inexact-ok underflow errno-erange-ok += atanh tonearest flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow errno-erange-ok += atanh towardzero flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow errno-erange-ok += atanh upward flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow errno-erange-ok = atanh downward dbl-64 -0x8p-152 : -0x8.0000000000008p-152 : inexact-ok = atanh tonearest dbl-64 -0x8p-152 : -0x8p-152 : inexact-ok = atanh towardzero dbl-64 -0x8p-152 : -0x8p-152 : inexact-ok @@ -20955,10 +20955,10 @@ atanh -min_subnorm missing-underflow = atanh tonearest ldbl-128ibm -0x8p-152L : -0x8p-152L : inexact-ok = atanh towardzero ldbl-128ibm -0x8p-152L : -0x8p-152L : inexact-ok = atanh upward ldbl-128ibm -0x8p-152L : -0x8p-152L : inexact-ok -= atanh downward dbl-64 -0x4p-1076 : -0x8p-1076 : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest dbl-64 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero dbl-64 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward dbl-64 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok += atanh downward dbl-64 -0x4p-1076 : -0x8p-1076 : inexact-ok underflow errno-erange-ok += atanh tonearest dbl-64 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow errno-erange-ok += atanh towardzero dbl-64 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow errno-erange-ok += atanh upward dbl-64 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow errno-erange-ok = atanh downward ldbl-96-intel -0x4p-1076L : -0x4.0000000000000008p-1076L : inexact-ok = atanh tonearest ldbl-96-intel -0x4p-1076L : -0x4p-1076L : inexact-ok = atanh towardzero ldbl-96-intel -0x4p-1076L : -0x4p-1076L : inexact-ok @@ -20971,34 +20971,34 @@ atanh -min_subnorm missing-underflow = atanh tonearest ldbl-128 -0x4p-1076L : -0x4p-1076L : inexact-ok = atanh towardzero ldbl-128 -0x4p-1076L : -0x4p-1076L : inexact-ok = atanh upward ldbl-128 -0x4p-1076L : -0x4p-1076L : inexact-ok -= atanh downward ldbl-128ibm -0x4p-1076L : -0x8p-1076L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-128ibm -0x4p-1076L : -0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-128ibm -0x4p-1076L : -0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-128ibm -0x4p-1076L : -0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh downward ldbl-96-intel -0x8p-16448L : -0x1p-16444L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-96-intel -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-96-intel -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-96-intel -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh downward ldbl-96-m68k -0x8p-16448L : -0xcp-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-96-m68k -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-96-m68k -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-96-m68k -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh downward ldbl-128 -0x8p-16448L : -0x8.000000000004p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-128 -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-128 -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-128 -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh downward ldbl-96-m68k -0x4p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-96-m68k -0x4p-16448L : -0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-96-m68k -0x4p-16448L : -0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-96-m68k -0x4p-16448L : -0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh downward ldbl-128 -0x4p-16448L : -0x4.000000000004p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-128 -0x4p-16448L : -0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-128 -0x4p-16448L : -0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-128 -0x4p-16448L : -0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh downward ldbl-128 -0x4p-16496L : -0x8p-16496L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh tonearest ldbl-128 -0x4p-16496L : -0x4p-16496L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh towardzero ldbl-128 -0x4p-16496L : -0x4p-16496L : inexact-ok underflow underflow-ok errno-erange-ok -= atanh upward ldbl-128 -0x4p-16496L : -0x4p-16496L : inexact-ok underflow underflow-ok errno-erange-ok += atanh downward ldbl-128ibm -0x4p-1076L : -0x8p-1076L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-128ibm -0x4p-1076L : -0x4p-1076L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-128ibm -0x4p-1076L : -0x4p-1076L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-128ibm -0x4p-1076L : -0x4p-1076L : inexact-ok underflow errno-erange-ok += atanh downward ldbl-96-intel -0x8p-16448L : -0x1p-16444L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-96-intel -0x8p-16448L : -0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-96-intel -0x8p-16448L : -0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-96-intel -0x8p-16448L : -0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh downward ldbl-96-m68k -0x8p-16448L : -0xcp-16448L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-96-m68k -0x8p-16448L : -0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-96-m68k -0x8p-16448L : -0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-96-m68k -0x8p-16448L : -0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh downward ldbl-128 -0x8p-16448L : -0x8.000000000004p-16448L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-128 -0x8p-16448L : -0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-128 -0x8p-16448L : -0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-128 -0x8p-16448L : -0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh downward ldbl-96-m68k -0x4p-16448L : -0x8p-16448L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-96-m68k -0x4p-16448L : -0x4p-16448L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-96-m68k -0x4p-16448L : -0x4p-16448L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-96-m68k -0x4p-16448L : -0x4p-16448L : inexact-ok underflow errno-erange-ok += atanh downward ldbl-128 -0x4p-16448L : -0x4.000000000004p-16448L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-128 -0x4p-16448L : -0x4p-16448L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-128 -0x4p-16448L : -0x4p-16448L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-128 -0x4p-16448L : -0x4p-16448L : inexact-ok underflow errno-erange-ok += atanh downward ldbl-128 -0x4p-16496L : -0x8p-16496L : inexact-ok underflow errno-erange-ok += atanh tonearest ldbl-128 -0x4p-16496L : -0x4p-16496L : inexact-ok underflow errno-erange-ok += atanh towardzero ldbl-128 -0x4p-16496L : -0x4p-16496L : inexact-ok underflow errno-erange-ok += atanh upward ldbl-128 -0x4p-16496L : -0x4p-16496L : inexact-ok underflow errno-erange-ok cabs 0.75 12.390625 = cabs downward flt-32 0xcp-4f 0xc.64p+0f : 0xc.69ce3p+0f : inexact-ok = cabs tonearest flt-32 0xcp-4f 0xc.64p+0f : 0xc.69ce3p+0f : inexact-ok -- cgit v1.1