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.

8 files changed, 367 insertions, 299 deletions

diff --git a/ChangeLog b/ChangeLog
index 47bf2a3aea..b8f1d86d5a 100644
--- 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 a55031b365..1dbce87fcf 100644
--- 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 59756319cf..7c80192ccd 100644
--- 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 cb8ac21232..1dadc38c6c 100644
--- 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