Relax gen-auto-libm-tests may-underflow rules, test log1p in all rounding modes.

gen-auto-libm-tests presently allows but does not require underflow
exceptions for results with magnitude in the range (greatest
subnormal, least normal].

In some cases, the magnitude of the exact result is very slightly
above the least normal, but rounding in the implementation results in
it effectively computing an infinite-precision result that is slightly
below the least normal, so raising an underflow exception.  This is in
accordance with the documented accuracy goals, but results in
testsuite failures.

This patch changes the logic to allow underflows when the mathematical
result is up to 0.5ulp above the least normal (so in any case where
the round-to-nearest result is the least normal).  Ideally underflows
in all these cases would be accepted only when an underflow with the
actual result is consistent with the rounding mode (in FE_TOWARDZERO
mode, a return value of the least normal implies that the
infinite-precision result did not underflow so there should be no
underflow exception, for example), so as to match the documented goals
more precisely - whereas at present the tests for exceptions are
completely independent of the tests of the returned values.  (The same
applies to overflow exceptions as well - they too should be checked
for consistency with the result, as in FE_TOWARDZERO mode a result
1ulp below the largest finite value should be inconsistent with an
overflow exception and cause a failure with overflow rather than
simply being considered a 1ulp error when overflow is expected.)  But
the present patch at least deals with the cases causing spurious
failures so that (a) certain existing tests no longer need to be
marked as having spurious exceptions (such markings in
auto-libm-test-in end up applying to more cases than just those they
are needed for) and (b) log1p can be tested in all rounding modes
without introducing more such failures.  This patch duly moves tests
of log1p to ALL_RM_TEST.

Tested x86_64 and x86 and ulps updated accordingly.

	[BZ #16357]
	[BZ #16599]
	* math/gen-auto-libm-tests.c (fp_format_desc): Add field
	min_plus_half.
	(fp_formats): Update initializers.
	(init_fp_formats): Initialize new field.
	(output_for_one_input_case): Allow underflow for results up to
	min_plus_half.
	* math/libm-test.inc (log1p_test): Use ALL_RM_TEST.
	* math/auto-libm-test-in: Don't mark some underflows from asin and
	atanh as spurious.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.

diff --git a/ChangeLog b/ChangeLog
index 47bf2a3..b8f1d86 100644 (file)
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,20 @@
+2014-03-25  Joseph Myers  <joseph@codesourcery.com>
+
+       [BZ #16357]
+       [BZ #16599]
+       * math/gen-auto-libm-tests.c (fp_format_desc): Add field
+       min_plus_half.
+       (fp_formats): Update initializers.
+       (init_fp_formats): Initialize new field.
+       (output_for_one_input_case): Allow underflow for results up to
+       min_plus_half.
+       * math/libm-test.inc (log1p_test): Use ALL_RM_TEST.
+       * math/auto-libm-test-in: Don't mark some underflows from asin and
+       atanh as spurious.
+       * math/auto-libm-test-out: Regenerated.
+       * sysdeps/i386/fpu/libm-test-ulps: Update.
+       * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
+
 2014-03-25  Andreas Schwab  <schwab@suse.de>
 
        * libio/Makefile (tst-ftell-partial-wide-ENV)

diff --git a/NEWS b/NEWS
index a55031b..1dbce87 100644 (file)
--- a/NEWS
+++ b/NEWS
@@ -9,10 +9,10 @@ Version 2.20
 
 * The following bugs are resolved with this release:
 
-  15347, 15804, 15894, 16002, 16284, 16447, 16532, 16545, 16574, 16600,
-  16609, 16610, 16611, 16613, 16623, 16632, 16634, 16639, 16642, 16649,
-  16670, 16674, 16677, 16680, 16683, 16689, 16695, 16701, 16706, 16707,
-  16712, 16713, 16714, 16731, 16743.
+  15347, 15804, 15894, 16002, 16284, 16357, 16447, 16532, 16545, 16574,
+  16599, 16600, 16609, 16610, 16611, 16613, 16623, 16632, 16634, 16639,
+  16642, 16649, 16670, 16674, 16677, 16680, 16683, 16689, 16695, 16701,
+  16706, 16707, 16712, 16713, 16714, 16731, 16743.
 
 * Running the testsuite no longer terminates as soon as a test fails.
   Instead, a file tests.sum (xtests.sum from "make xcheck") is generated,

diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in
index 5975631..7c80192 100644 (file)
--- a/math/auto-libm-test-in
+++ b/math/auto-libm-test-in
@@ -61,9 +61,8 @@ asin -0x0.ffffffffffffp0
 asin 0x0.ffffffffffffffffp0
 asin -0x0.ffffffffffffffffp0
 # Bug 16351: underflow exception may be missing.
-# Bug 16599: spurious underflow may occur.
 asin min missing-underflow
-asin -min missing-underflow spurious-underflow:dbl-64:x86
+asin -min missing-underflow
 asin min_subnorm missing-underflow
 asin -min_subnorm missing-underflow
 
@@ -175,9 +174,8 @@ atanh 0x1p-5
 atanh 0x1p-10
 atanh 0x1.2345p-20
 # Bug 16352: underflow exception may be missing.
-# Bug 16357: spurious underflow may occur.
-atanh min missing-underflow spurious-underflow:ldbl-96-intel:x86
-atanh -min missing-underflow spurious-underflow:ldbl-96-intel:x86
+atanh min missing-underflow
+atanh -min missing-underflow
 atanh min_subnorm missing-underflow
 atanh -min_subnorm missing-underflow
 

diff --git a/math/auto-libm-test-out b/math/auto-libm-test-out
index cb8ac21..1dadc38 100644 (file)
--- a/math/auto-libm-test-out
+++ b/math/auto-libm-test-out
@@ -2021,10 +2021,10 @@ asin -0x0.ffffffffffffffffp0
 = asin towardzero ldbl-128ibm -0xf.fffffffffffffffp-4L : -0x1.921fb542d8c79e0195cffc0e308p+0L : inexact-ok
 = asin upward ldbl-128ibm -0xf.fffffffffffffffp-4L : -0x1.921fb542d8c79e0195cffc0e308p+0L : inexact-ok
 asin min missing-underflow
-= asin downward flt-32 0x4p-128f : 0x4p-128f : inexact-ok
-= asin tonearest flt-32 0x4p-128f : 0x4p-128f : inexact-ok
-= asin towardzero flt-32 0x4p-128f : 0x4p-128f : inexact-ok
-= asin upward flt-32 0x4p-128f : 0x4.000008p-128f : inexact-ok
+= asin downward flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok errno-erange-ok
+= asin tonearest flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok errno-erange-ok
+= asin towardzero flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok errno-erange-ok
+= asin upward flt-32 0x4p-128f : 0x4.000008p-128f : inexact-ok underflow-ok errno-erange-ok
 = asin downward dbl-64 0x4p-128 : 0x4p-128 : inexact-ok
 = asin tonearest dbl-64 0x4p-128 : 0x4p-128 : inexact-ok
 = asin towardzero dbl-64 0x4p-128 : 0x4p-128 : inexact-ok
@@ -2045,10 +2045,10 @@ asin min missing-underflow
 = asin tonearest ldbl-128ibm 0x4p-128L : 0x4p-128L : inexact-ok
 = asin towardzero ldbl-128ibm 0x4p-128L : 0x4p-128L : inexact-ok
 = asin upward ldbl-128ibm 0x4p-128L : 0x4.00000000000000000000000002p-128L : inexact-ok
-= asin downward dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok
-= asin tonearest dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok
-= asin towardzero dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok
-= asin upward dbl-64 0x4p-1024 : 0x4.0000000000004p-1024 : inexact-ok
+= asin downward dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= asin tonearest dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= asin towardzero dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= asin upward dbl-64 0x4p-1024 : 0x4.0000000000004p-1024 : inexact-ok underflow-ok errno-erange-ok
 = asin downward ldbl-96-intel 0x4p-1024L : 0x4p-1024L : inexact-ok
 = asin tonearest ldbl-96-intel 0x4p-1024L : 0x4p-1024L : inexact-ok
 = asin towardzero ldbl-96-intel 0x4p-1024L : 0x4p-1024L : inexact-ok
@@ -2065,26 +2065,26 @@ asin min missing-underflow
 = asin tonearest ldbl-128ibm 0x4p-1024L : 0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin towardzero ldbl-128ibm 0x4p-1024L : 0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin upward ldbl-128ibm 0x4p-1024L : 0x4.0000000000004p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
-= asin downward ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok
-= asin tonearest ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok
-= asin towardzero ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok
-= asin upward ldbl-96-intel 0x4p-16384L : 0x4.0000000000000008p-16384L : inexact-ok
+= asin downward ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin tonearest ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin towardzero ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin upward ldbl-96-intel 0x4p-16384L : 0x4.0000000000000008p-16384L : inexact-ok underflow-ok errno-erange-ok
 = asin downward ldbl-96-m68k 0x4p-16384L : 0x4p-16384L : inexact-ok
 = asin tonearest ldbl-96-m68k 0x4p-16384L : 0x4p-16384L : inexact-ok
 = asin towardzero ldbl-96-m68k 0x4p-16384L : 0x4p-16384L : inexact-ok
 = asin upward ldbl-96-m68k 0x4p-16384L : 0x4.0000000000000008p-16384L : inexact-ok
-= asin downward ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok
-= asin tonearest ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok
-= asin towardzero ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok
-= asin upward ldbl-128 0x4p-16384L : 0x4.0000000000000000000000000004p-16384L : inexact-ok
+= asin downward ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin tonearest ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin towardzero ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin upward ldbl-128 0x4p-16384L : 0x4.0000000000000000000000000004p-16384L : inexact-ok underflow-ok errno-erange-ok
 = asin downward ldbl-96-intel 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin tonearest ldbl-96-intel 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin towardzero ldbl-96-intel 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin upward ldbl-96-intel 0x2p-16384L : 0x2.0000000000000008p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
-= asin downward ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok
-= asin tonearest ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok
-= asin towardzero ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok
-= asin upward ldbl-96-m68k 0x2p-16384L : 0x2.0000000000000004p-16384L : inexact-ok
+= asin downward ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin tonearest ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin towardzero ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin upward ldbl-96-m68k 0x2p-16384L : 0x2.0000000000000004p-16384L : inexact-ok underflow-ok errno-erange-ok
 = asin downward ldbl-128 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin tonearest ldbl-128 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin towardzero ldbl-128 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
@@ -2105,99 +2105,99 @@ asin min missing-underflow
 = asin tonearest ldbl-128 0x8p-972L : 0x8p-972L : inexact-ok
 = asin towardzero ldbl-128 0x8p-972L : 0x8p-972L : inexact-ok
 = asin upward ldbl-128 0x8p-972L : 0x8.0000000000000000000000000008p-972L : inexact-ok
-= asin downward ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok
-= asin tonearest ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok
-= asin towardzero ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok
-= asin upward ldbl-128ibm 0x8p-972L : 0x8.00000000000000000000000004p-972L : inexact-ok
-asin -min missing-underflow spurious-underflow:dbl-64:x86
-= asin downward flt-32 -0x4p-128f : -0x4.000008p-128f : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok:dbl-64:x86
-= asin upward flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok:dbl-64:x86
-= asin downward dbl-64 -0x4p-128 : -0x4.0000000000004p-128 : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok underflow-ok:dbl-64:x86
-= asin upward dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok underflow-ok:dbl-64:x86
-= asin downward ldbl-96-intel -0x4p-128L : -0x4.0000000000000008p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin downward ldbl-96-m68k -0x4p-128L : -0x4.0000000000000008p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin downward ldbl-128 -0x4p-128L : -0x4.0000000000000000000000000004p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin downward ldbl-128ibm -0x4p-128L : -0x4.00000000000000000000000002p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:dbl-64:x86
-= asin downward dbl-64 -0x4p-1024 : -0x4.0000000000004p-1024 : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok:dbl-64:x86
-= asin upward dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok:dbl-64:x86
-= asin downward ldbl-96-intel -0x4p-1024L : -0x4.0000000000000008p-1024L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:dbl-64:x86
-= asin downward ldbl-96-m68k -0x4p-1024L : -0x4.0000000000000008p-1024L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:dbl-64:x86
-= asin downward ldbl-128 -0x4p-1024L : -0x4.0000000000000000000000000004p-1024L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:dbl-64:x86
+= asin downward ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok errno-erange-ok
+= asin tonearest ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok errno-erange-ok
+= asin towardzero ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok errno-erange-ok
+= asin upward ldbl-128ibm 0x8p-972L : 0x8.00000000000000000000000004p-972L : inexact-ok underflow-ok errno-erange-ok
+asin -min missing-underflow
+= asin downward flt-32 -0x4p-128f : -0x4.000008p-128f : inexact-ok underflow-ok errno-erange-ok
+= asin tonearest flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok errno-erange-ok
+= asin towardzero flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok errno-erange-ok
+= asin upward flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok errno-erange-ok
+= asin downward dbl-64 -0x4p-128 : -0x4.0000000000004p-128 : inexact-ok
+= asin tonearest dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok
+= asin towardzero dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok
+= asin upward dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok
+= asin downward ldbl-96-intel -0x4p-128L : -0x4.0000000000000008p-128L : inexact-ok
+= asin tonearest ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok
+= asin towardzero ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok
+= asin upward ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok
+= asin downward ldbl-96-m68k -0x4p-128L : -0x4.0000000000000008p-128L : inexact-ok
+= asin tonearest ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok
+= asin towardzero ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok
+= asin upward ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok
+= asin downward ldbl-128 -0x4p-128L : -0x4.0000000000000000000000000004p-128L : inexact-ok
+= asin tonearest ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok
+= asin towardzero ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok
+= asin upward ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok
+= asin downward ldbl-128ibm -0x4p-128L : -0x4.00000000000000000000000002p-128L : inexact-ok
+= asin tonearest ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok
+= asin towardzero ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok
+= asin upward ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok
+= asin downward dbl-64 -0x4p-1024 : -0x4.0000000000004p-1024 : inexact-ok underflow-ok errno-erange-ok
+= asin tonearest dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= asin towardzero dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= asin upward dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= asin downward ldbl-96-intel -0x4p-1024L : -0x4.0000000000000008p-1024L : inexact-ok
+= asin tonearest ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok
+= asin towardzero ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok
+= asin upward ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok
+= asin downward ldbl-96-m68k -0x4p-1024L : -0x4.0000000000000008p-1024L : inexact-ok
+= asin tonearest ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok
+= asin towardzero ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok
+= asin upward ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok
+= asin downward ldbl-128 -0x4p-1024L : -0x4.0000000000000000000000000004p-1024L : inexact-ok
+= asin tonearest ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok
+= asin towardzero ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok
+= asin upward ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok
 = asin downward ldbl-128ibm -0x4p-1024L : -0x4.0000000000004p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin tonearest ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin towardzero ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin upward ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
-= asin downward ldbl-96-intel -0x4p-16384L : -0x4.0000000000000008p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin downward ldbl-96-m68k -0x4p-16384L : -0x4.0000000000000008p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin downward ldbl-128 -0x4p-16384L : -0x4.0000000000000000000000000004p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:dbl-64:x86
+= asin downward ldbl-96-intel -0x4p-16384L : -0x4.0000000000000008p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin tonearest ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin towardzero ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin upward ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin downward ldbl-96-m68k -0x4p-16384L : -0x4.0000000000000008p-16384L : inexact-ok
+= asin tonearest ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok
+= asin towardzero ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok
+= asin upward ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok
+= asin downward ldbl-128 -0x4p-16384L : -0x4.0000000000000000000000000004p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin tonearest ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin towardzero ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin upward ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
 = asin downward ldbl-96-intel -0x2p-16384L : -0x2.0000000000000008p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin tonearest ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin towardzero ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin upward ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
-= asin downward ldbl-96-m68k -0x2p-16384L : -0x2.0000000000000004p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok:dbl-64:x86
+= asin downward ldbl-96-m68k -0x2p-16384L : -0x2.0000000000000004p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin tonearest ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin towardzero ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
+= asin upward ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
 = asin downward ldbl-128 -0x2p-16384L : -0x2.0000000000000000000000000004p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin tonearest ldbl-128 -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin towardzero ldbl-128 -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = asin upward ldbl-128 -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
-= asin downward dbl-64 -0x8p-972 : -0x8.0000000000008p-972 : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok underflow-ok:dbl-64:x86
-= asin upward dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok underflow-ok:dbl-64:x86
-= asin downward ldbl-96-intel -0x8p-972L : -0x8.000000000000001p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin downward ldbl-96-m68k -0x8p-972L : -0x8.000000000000001p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin downward ldbl-128 -0x8p-972L : -0x8.0000000000000000000000000008p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin downward ldbl-128ibm -0x8p-972L : -0x8.00000000000000000000000004p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin tonearest ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin towardzero ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:dbl-64:x86
-= asin upward ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:dbl-64:x86
+= asin downward dbl-64 -0x8p-972 : -0x8.0000000000008p-972 : inexact-ok
+= asin tonearest dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok
+= asin towardzero dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok
+= asin upward dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok
+= asin downward ldbl-96-intel -0x8p-972L : -0x8.000000000000001p-972L : inexact-ok
+= asin tonearest ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok
+= asin towardzero ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok
+= asin upward ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok
+= asin downward ldbl-96-m68k -0x8p-972L : -0x8.000000000000001p-972L : inexact-ok
+= asin tonearest ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok
+= asin towardzero ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok
+= asin upward ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok
+= asin downward ldbl-128 -0x8p-972L : -0x8.0000000000000000000000000008p-972L : inexact-ok
+= asin tonearest ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok
+= asin towardzero ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok
+= asin upward ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok
+= asin downward ldbl-128ibm -0x8p-972L : -0x8.00000000000000000000000004p-972L : inexact-ok underflow-ok errno-erange-ok
+= asin tonearest ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok errno-erange-ok
+= asin towardzero ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok errno-erange-ok
+= asin upward ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok errno-erange-ok
 asin min_subnorm missing-underflow
 = asin downward flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok
 = asin tonearest flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok
@@ -13708,184 +13708,184 @@ atanh 0x1.2345p-20
 = atanh tonearest ldbl-128ibm 0x1.2345p-20L : 0x1.23450000007daf665297209f1ap-20L : inexact-ok
 = atanh towardzero ldbl-128ibm 0x1.2345p-20L : 0x1.23450000007daf665297209f198p-20L : inexact-ok
 = atanh upward ldbl-128ibm 0x1.2345p-20L : 0x1.23450000007daf665297209f1ap-20L : inexact-ok
-atanh min missing-underflow spurious-underflow:ldbl-96-intel:x86
-= atanh downward flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward flt-32 0x4p-128f : 0x4.000008p-128f : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward dbl-64 0x4p-128 : 0x4p-128 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest dbl-64 0x4p-128 : 0x4p-128 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero dbl-64 0x4p-128 : 0x4p-128 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward dbl-64 0x4p-128 : 0x4.0000000000004p-128 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-intel 0x4p-128L : 0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-intel 0x4p-128L : 0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-intel 0x4p-128L : 0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-intel 0x4p-128L : 0x4.0000000000000008p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-m68k 0x4p-128L : 0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-m68k 0x4p-128L : 0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-m68k 0x4p-128L : 0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-m68k 0x4p-128L : 0x4.0000000000000008p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-128 0x4p-128L : 0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-128 0x4p-128L : 0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-128 0x4p-128L : 0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-128 0x4p-128L : 0x4.0000000000000000000000000004p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-128ibm 0x4p-128L : 0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-128ibm 0x4p-128L : 0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-128ibm 0x4p-128L : 0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-128ibm 0x4p-128L : 0x4.00000000000000000000000002p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward dbl-64 0x4p-1024 : 0x4.0000000000004p-1024 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-intel 0x4p-1024L : 0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-intel 0x4p-1024L : 0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-intel 0x4p-1024L : 0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-intel 0x4p-1024L : 0x4.0000000000000008p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-m68k 0x4p-1024L : 0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-m68k 0x4p-1024L : 0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-m68k 0x4p-1024L : 0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-m68k 0x4p-1024L : 0x4.0000000000000008p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-128 0x4p-1024L : 0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-128 0x4p-1024L : 0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-128 0x4p-1024L : 0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-128 0x4p-1024L : 0x4.0000000000000000000000000004p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
+atanh min missing-underflow
+= 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
+= atanh upward flt-32 0x4p-128f : 0x4.000008p-128f : inexact-ok underflow-ok errno-erange-ok
+= atanh downward dbl-64 0x4p-128 : 0x4p-128 : inexact-ok
+= atanh tonearest dbl-64 0x4p-128 : 0x4p-128 : inexact-ok
+= atanh towardzero dbl-64 0x4p-128 : 0x4p-128 : inexact-ok
+= atanh upward dbl-64 0x4p-128 : 0x4.0000000000004p-128 : inexact-ok
+= atanh downward ldbl-96-intel 0x4p-128L : 0x4p-128L : inexact-ok
+= atanh tonearest ldbl-96-intel 0x4p-128L : 0x4p-128L : inexact-ok
+= atanh towardzero ldbl-96-intel 0x4p-128L : 0x4p-128L : inexact-ok
+= atanh upward ldbl-96-intel 0x4p-128L : 0x4.0000000000000008p-128L : inexact-ok
+= atanh downward ldbl-96-m68k 0x4p-128L : 0x4p-128L : inexact-ok
+= atanh tonearest ldbl-96-m68k 0x4p-128L : 0x4p-128L : inexact-ok
+= atanh towardzero ldbl-96-m68k 0x4p-128L : 0x4p-128L : inexact-ok
+= atanh upward ldbl-96-m68k 0x4p-128L : 0x4.0000000000000008p-128L : inexact-ok
+= atanh downward ldbl-128 0x4p-128L : 0x4p-128L : inexact-ok
+= atanh tonearest ldbl-128 0x4p-128L : 0x4p-128L : inexact-ok
+= atanh towardzero ldbl-128 0x4p-128L : 0x4p-128L : inexact-ok
+= atanh upward ldbl-128 0x4p-128L : 0x4.0000000000000000000000000004p-128L : inexact-ok
+= atanh downward ldbl-128ibm 0x4p-128L : 0x4p-128L : inexact-ok
+= atanh tonearest ldbl-128ibm 0x4p-128L : 0x4p-128L : inexact-ok
+= atanh towardzero ldbl-128ibm 0x4p-128L : 0x4p-128L : inexact-ok
+= atanh upward ldbl-128ibm 0x4p-128L : 0x4.00000000000000000000000002p-128L : inexact-ok
+= atanh downward dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= atanh tonearest dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= atanh towardzero dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= atanh upward dbl-64 0x4p-1024 : 0x4.0000000000004p-1024 : inexact-ok underflow-ok errno-erange-ok
+= atanh downward ldbl-96-intel 0x4p-1024L : 0x4p-1024L : inexact-ok
+= atanh tonearest ldbl-96-intel 0x4p-1024L : 0x4p-1024L : inexact-ok
+= atanh towardzero ldbl-96-intel 0x4p-1024L : 0x4p-1024L : inexact-ok
+= atanh upward ldbl-96-intel 0x4p-1024L : 0x4.0000000000000008p-1024L : inexact-ok
+= atanh downward ldbl-96-m68k 0x4p-1024L : 0x4p-1024L : inexact-ok
+= atanh tonearest ldbl-96-m68k 0x4p-1024L : 0x4p-1024L : inexact-ok
+= atanh towardzero ldbl-96-m68k 0x4p-1024L : 0x4p-1024L : inexact-ok
+= atanh upward ldbl-96-m68k 0x4p-1024L : 0x4.0000000000000008p-1024L : inexact-ok
+= atanh downward ldbl-128 0x4p-1024L : 0x4p-1024L : inexact-ok
+= 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-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-intel 0x4p-16384L : 0x4.0000000000000008p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-m68k 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-m68k 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-m68k 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-m68k 0x4p-16384L : 0x4.0000000000000008p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-128 0x4p-16384L : 0x4.0000000000000000000000000004p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
+= 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
+= atanh upward ldbl-96-intel 0x4p-16384L : 0x4.0000000000000008p-16384L : inexact-ok underflow-ok errno-erange-ok
+= atanh downward ldbl-96-m68k 0x4p-16384L : 0x4p-16384L : inexact-ok
+= atanh tonearest ldbl-96-m68k 0x4p-16384L : 0x4p-16384L : inexact-ok
+= atanh towardzero ldbl-96-m68k 0x4p-16384L : 0x4p-16384L : inexact-ok
+= atanh upward ldbl-96-m68k 0x4p-16384L : 0x4.0000000000000008p-16384L : inexact-ok
+= atanh downward ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= 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-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-m68k 0x2p-16384L : 0x2.0000000000000004p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
+= 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 dbl-64 0x8p-972 : 0x8p-972 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest dbl-64 0x8p-972 : 0x8p-972 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero dbl-64 0x8p-972 : 0x8p-972 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward dbl-64 0x8p-972 : 0x8.0000000000008p-972 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-intel 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-intel 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-intel 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-intel 0x8p-972L : 0x8.000000000000001p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-m68k 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-m68k 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-m68k 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-m68k 0x8p-972L : 0x8.000000000000001p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-128 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-128 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-128 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-128 0x8p-972L : 0x8.0000000000000000000000000008p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-128ibm 0x8p-972L : 0x8.00000000000000000000000004p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-atanh -min missing-underflow spurious-underflow:ldbl-96-intel:x86
-= atanh downward flt-32 -0x4p-128f : -0x4.000008p-128f : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward dbl-64 -0x4p-128 : -0x4.0000000000004p-128 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-intel -0x4p-128L : -0x4.0000000000000008p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-m68k -0x4p-128L : -0x4.0000000000000008p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-128 -0x4p-128L : -0x4.0000000000000000000000000004p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-128ibm -0x4p-128L : -0x4.00000000000000000000000002p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward dbl-64 -0x4p-1024 : -0x4.0000000000004p-1024 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-intel -0x4p-1024L : -0x4.0000000000000008p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-m68k -0x4p-1024L : -0x4.0000000000000008p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-128 -0x4p-1024L : -0x4.0000000000000000000000000004p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok underflow-ok:ldbl-96-intel:x86
+= 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
+= atanh upward dbl-64 0x8p-972 : 0x8.0000000000008p-972 : inexact-ok
+= atanh downward ldbl-96-intel 0x8p-972L : 0x8p-972L : inexact-ok
+= atanh tonearest ldbl-96-intel 0x8p-972L : 0x8p-972L : inexact-ok
+= atanh towardzero ldbl-96-intel 0x8p-972L : 0x8p-972L : inexact-ok
+= atanh upward ldbl-96-intel 0x8p-972L : 0x8.000000000000001p-972L : inexact-ok
+= atanh downward ldbl-96-m68k 0x8p-972L : 0x8p-972L : inexact-ok
+= atanh tonearest ldbl-96-m68k 0x8p-972L : 0x8p-972L : inexact-ok
+= atanh towardzero ldbl-96-m68k 0x8p-972L : 0x8p-972L : inexact-ok
+= atanh upward ldbl-96-m68k 0x8p-972L : 0x8.000000000000001p-972L : inexact-ok
+= atanh downward ldbl-128 0x8p-972L : 0x8p-972L : inexact-ok
+= atanh tonearest ldbl-128 0x8p-972L : 0x8p-972L : inexact-ok
+= atanh towardzero ldbl-128 0x8p-972L : 0x8p-972L : inexact-ok
+= atanh upward ldbl-128 0x8p-972L : 0x8.0000000000000000000000000008p-972L : inexact-ok
+= atanh downward ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok errno-erange-ok
+= 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 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
+= atanh upward flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok errno-erange-ok
+= atanh downward dbl-64 -0x4p-128 : -0x4.0000000000004p-128 : inexact-ok
+= atanh tonearest dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok
+= atanh towardzero dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok
+= atanh upward dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok
+= atanh downward ldbl-96-intel -0x4p-128L : -0x4.0000000000000008p-128L : inexact-ok
+= atanh tonearest ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok
+= atanh towardzero ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok
+= atanh upward ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok
+= atanh downward ldbl-96-m68k -0x4p-128L : -0x4.0000000000000008p-128L : inexact-ok
+= atanh tonearest ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok
+= atanh towardzero ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok
+= atanh upward ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok
+= atanh downward ldbl-128 -0x4p-128L : -0x4.0000000000000000000000000004p-128L : inexact-ok
+= atanh tonearest ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok
+= atanh towardzero ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok
+= atanh upward ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok
+= atanh downward ldbl-128ibm -0x4p-128L : -0x4.00000000000000000000000002p-128L : inexact-ok
+= atanh tonearest ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok
+= atanh towardzero ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok
+= atanh upward ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok
+= atanh downward dbl-64 -0x4p-1024 : -0x4.0000000000004p-1024 : inexact-ok underflow-ok errno-erange-ok
+= atanh tonearest dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= atanh towardzero dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= atanh upward dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= atanh downward ldbl-96-intel -0x4p-1024L : -0x4.0000000000000008p-1024L : inexact-ok
+= atanh tonearest ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok
+= atanh towardzero ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok
+= atanh upward ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok
+= atanh downward ldbl-96-m68k -0x4p-1024L : -0x4.0000000000000008p-1024L : inexact-ok
+= atanh tonearest ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok
+= atanh towardzero ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok
+= atanh upward ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok
+= atanh downward ldbl-128 -0x4p-1024L : -0x4.0000000000000000000000000004p-1024L : inexact-ok
+= 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-96-intel -0x4p-16384L : -0x4.0000000000000008p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-m68k -0x4p-16384L : -0x4.0000000000000008p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-128 -0x4p-16384L : -0x4.0000000000000000000000000004p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
+= 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
+= atanh upward ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= atanh downward ldbl-96-m68k -0x4p-16384L : -0x4.0000000000000008p-16384L : inexact-ok
+= atanh tonearest ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok
+= atanh towardzero ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok
+= atanh upward ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok
+= atanh downward ldbl-128 -0x4p-16384L : -0x4.0000000000000000000000000004p-16384L : inexact-ok underflow-ok errno-erange-ok
+= 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-m68k -0x2p-16384L : -0x2.0000000000000004p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok:ldbl-96-intel:x86
+= 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 dbl-64 -0x8p-972 : -0x8.0000000000008p-972 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-intel -0x8p-972L : -0x8.000000000000001p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-96-m68k -0x8p-972L : -0x8.000000000000001p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-128 -0x8p-972L : -0x8.0000000000000000000000000008p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh downward ldbl-128ibm -0x8p-972L : -0x8.00000000000000000000000004p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh tonearest ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh towardzero ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
-= atanh upward ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok:ldbl-96-intel:x86
+= 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
+= atanh upward dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok
+= atanh downward ldbl-96-intel -0x8p-972L : -0x8.000000000000001p-972L : inexact-ok
+= atanh tonearest ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok
+= atanh towardzero ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok
+= atanh upward ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok
+= atanh downward ldbl-96-m68k -0x8p-972L : -0x8.000000000000001p-972L : inexact-ok
+= atanh tonearest ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok
+= atanh towardzero ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok
+= atanh upward ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok
+= atanh downward ldbl-128 -0x8p-972L : -0x8.0000000000000000000000000008p-972L : inexact-ok
+= atanh tonearest ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok
+= atanh towardzero ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok
+= atanh upward ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok
+= atanh downward ldbl-128ibm -0x8p-972L : -0x8.00000000000000000000000004p-972L : inexact-ok underflow-ok errno-erange-ok
+= 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
@@ -125265,10 +125265,10 @@ log1p min_subnorm missing-underflow
 = log1p towardzero ldbl-128 0x4p-16496L : 0x0p+0L : inexact-ok underflow underflow-ok errno-erange-ok
 = log1p upward ldbl-128 0x4p-16496L : 0x4p-16496L : inexact-ok underflow underflow-ok errno-erange-ok
 log1p -min missing-underflow
-= log1p downward flt-32 -0x4p-128f : -0x4.000008p-128f : inexact-ok
-= log1p tonearest flt-32 -0x4p-128f : -0x4p-128f : inexact-ok
-= log1p towardzero flt-32 -0x4p-128f : -0x4p-128f : inexact-ok
-= log1p upward flt-32 -0x4p-128f : -0x4p-128f : inexact-ok
+= log1p downward flt-32 -0x4p-128f : -0x4.000008p-128f : inexact-ok underflow-ok errno-erange-ok
+= log1p tonearest flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok errno-erange-ok
+= log1p towardzero flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok errno-erange-ok
+= log1p upward flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok errno-erange-ok
 = log1p downward dbl-64 -0x4p-128 : -0x4.0000000000004p-128 : inexact-ok
 = log1p tonearest dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok
 = log1p towardzero dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok
@@ -125289,10 +125289,10 @@ log1p -min missing-underflow
 = log1p tonearest ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok
 = log1p towardzero ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok
 = log1p upward ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok
-= log1p downward dbl-64 -0x4p-1024 : -0x4.0000000000004p-1024 : inexact-ok
-= log1p tonearest dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok
-= log1p towardzero dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok
-= log1p upward dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok
+= log1p downward dbl-64 -0x4p-1024 : -0x4.0000000000004p-1024 : inexact-ok underflow-ok errno-erange-ok
+= log1p tonearest dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= log1p towardzero dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
+= log1p upward dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
 = log1p downward ldbl-96-intel -0x4p-1024L : -0x4.0000000000000008p-1024L : inexact-ok
 = log1p tonearest ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok
 = log1p towardzero ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok
@@ -125309,26 +125309,26 @@ log1p -min missing-underflow
 = log1p tonearest ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
 = log1p towardzero ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
 = log1p upward ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
-= log1p downward ldbl-96-intel -0x4p-16384L : -0x4.0000000000000008p-16384L : inexact-ok
-= log1p tonearest ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok
-= log1p towardzero ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok
-= log1p upward ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok
+= log1p downward ldbl-96-intel -0x4p-16384L : -0x4.0000000000000008p-16384L : inexact-ok underflow-ok errno-erange-ok
+= log1p tonearest ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= log1p towardzero ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= log1p upward ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
 = log1p downward ldbl-96-m68k -0x4p-16384L : -0x4.0000000000000008p-16384L : inexact-ok
 = log1p tonearest ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok
 = log1p towardzero ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok
 = log1p upward ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok
-= log1p downward ldbl-128 -0x4p-16384L : -0x4.0000000000000000000000000004p-16384L : inexact-ok
-= log1p tonearest ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok
-= log1p towardzero ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok
-= log1p upward ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok
+= log1p downward ldbl-128 -0x4p-16384L : -0x4.0000000000000000000000000004p-16384L : inexact-ok underflow-ok errno-erange-ok
+= log1p tonearest ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= log1p towardzero ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
+= log1p upward ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
 = log1p downward ldbl-96-intel -0x2p-16384L : -0x2.0000000000000008p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = log1p tonearest ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = log1p towardzero ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = log1p upward ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
-= log1p downward ldbl-96-m68k -0x2p-16384L : -0x2.0000000000000004p-16384L : inexact-ok
-= log1p tonearest ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok
-= log1p towardzero ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok
-= log1p upward ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok
+= log1p downward ldbl-96-m68k -0x2p-16384L : -0x2.0000000000000004p-16384L : inexact-ok underflow-ok errno-erange-ok
+= log1p tonearest ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
+= log1p towardzero ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
+= log1p upward ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
 = log1p downward ldbl-128 -0x2p-16384L : -0x2.0000000000000000000000000004p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = log1p tonearest ldbl-128 -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
 = log1p towardzero ldbl-128 -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
@@ -125349,10 +125349,10 @@ log1p -min missing-underflow
 = log1p tonearest ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok
 = log1p towardzero ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok
 = log1p upward ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok
-= log1p downward ldbl-128ibm -0x8p-972L : -0x8.00000000000000000000000004p-972L : inexact-ok
-= log1p tonearest ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok
-= log1p towardzero ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok
-= log1p upward ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok
+= log1p downward ldbl-128ibm -0x8p-972L : -0x8.00000000000000000000000004p-972L : inexact-ok underflow-ok errno-erange-ok
+= log1p tonearest ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok errno-erange-ok
+= log1p towardzero ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok errno-erange-ok
+= log1p upward ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok errno-erange-ok
 log1p -min_subnorm missing-underflow
 = log1p downward flt-32 -0x8p-152f : -0x1p-148f : inexact-ok underflow underflow-ok errno-erange-ok
 = log1p tonearest flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok

diff --git a/math/gen-auto-libm-tests.c b/math/gen-auto-libm-tests.c
index 61097e4..132cca2 100644 (file)
--- a/math/gen-auto-libm-tests.c
+++ b/math/gen-auto-libm-tests.c
@@ -171,6 +171,8 @@ typedef struct
   int min_exp;
   /* The largest normal value.  */
   mpfr_t max;
+  /* The value 0.5ulp above the least positive normal value.  */
+  mpfr_t min_plus_half;
   /* The least positive normal value, 2^(MIN_EXP-1).  */
   mpfr_t min;
   /* The greatest positive subnormal value.  */
@@ -183,13 +185,13 @@ typedef struct
    enumeration.  */
 static fp_format_desc fp_formats[fp_num_formats] =
   {
-    { "flt-32", "f", NULL, 24, 128, -125, {}, {}, {}, {} },
-    { "dbl-64", "", NULL, 53, 1024, -1021, {}, {}, {}, {} },
-    { "ldbl-96-intel", "L", NULL, 64, 16384, -16381, {}, {}, {}, {} },
-    { "ldbl-96-m68k", "L", NULL, 64, 16384, -16382, {}, {}, {}, {} },
-    { "ldbl-128", "L", NULL, 113, 16384, -16381, {}, {}, {}, {} },
+    { "flt-32", "f", NULL, 24, 128, -125, {}, {}, {}, {}, {} },
+    { "dbl-64", "", NULL, 53, 1024, -1021, {}, {}, {}, {}, {} },
+    { "ldbl-96-intel", "L", NULL, 64, 16384, -16381, {}, {}, {}, {}, {} },
+    { "ldbl-96-m68k", "L", NULL, 64, 16384, -16382, {}, {}, {}, {}, {} },
+    { "ldbl-128", "L", NULL, 113, 16384, -16381, {}, {}, {}, {}, {} },
     { "ldbl-128ibm", "L", "0x1.fffffffffffff7ffffffffffff8p+1023",
-      106, 1024, -968, {}, {}, {}, {} },
+      106, 1024, -968, {}, {}, {}, {}, {} },
   };
 
 /* The supported rounding modes.  */
@@ -702,6 +704,10 @@ init_fp_formats ()
       assert_exact (mpfr_set_ui_2exp (fp_formats[f].min, 1,
                                      fp_formats[f].min_exp - 1,
                                      MPFR_RNDN));
+      mpfr_init2 (fp_formats[f].min_plus_half, fp_formats[f].mant_dig + 1);
+      assert_exact (mpfr_set (fp_formats[f].min_plus_half,
+                             fp_formats[f].min, MPFR_RNDN));
+      mpfr_nextabove (fp_formats[f].min_plus_half);
       mpfr_init2 (fp_formats[f].subnorm_max, fp_formats[f].mant_dig);
       assert_exact (mpfr_set (fp_formats[f].subnorm_max, fp_formats[f].min,
                              MPFR_RNDN));
@@ -1841,8 +1847,9 @@ output_for_one_input_case (FILE *fp, const char *filename, test_function *tf,
                                    <= 0));
                          may_underflow
                            |= (!mpfr_zero_p (generic_outputs[i].value.f)
-                               && mpfr_cmpabs (generic_outputs[i].value.f,
-                                               fp_formats[f].min) <= 0);
+                               && (mpfr_cmpabs (generic_outputs[i].value.f,
+                                                fp_formats[f].min_plus_half)
+                                   <= 0));
                        }
                      /* If the result is an exact zero, the sign may
                         depend on the rounding mode, so recompute it

diff --git a/math/libm-test.inc b/math/libm-test.inc
index a8ebecd..9c4c2bf 100644 (file)
--- a/math/libm-test.inc
+++ b/math/libm-test.inc
@@ -7823,9 +7823,7 @@ static const struct test_f_f_data log1p_test_data[] =
 static void
 log1p_test (void)
 {
-  START (log1p, 0);
-  RUN_TEST_LOOP_f_f (log1p, log1p_test_data, );
-  END;
+  ALL_RM_TEST (log1p, 0, log1p_test_data, RUN_TEST_LOOP_f_f, END);
 }
 
 

diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps
index 1885be7..a82de19 100644 (file)
--- a/sysdeps/i386/fpu/libm-test-ulps
+++ b/sysdeps/i386/fpu/libm-test-ulps
@@ -1288,6 +1288,30 @@ Function: "log1p":
 ildouble: 1
 ldouble: 1
 
+Function: "log1p_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: "log1p_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: "log1p_upward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
 Function: "log_downward":
 ildouble: 1
 ldouble: 1

diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps
index 670f2da..e2fa9b2 100644 (file)
--- a/sysdeps/x86_64/fpu/libm-test-ulps
+++ b/sysdeps/x86_64/fpu/libm-test-ulps
@@ -1362,6 +1362,30 @@ ifloat: 1
 ildouble: 1
 ldouble: 1
 
+Function: "log1p_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: "log1p_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: "log1p_upward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
 Function: "log_downward":
 float: 1
 ifloat: 1