Fix dbl-64 hypot spurious underflows (bug 16314).

2 files changed, 750 insertions, 751 deletions

diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in
index 980b6b9dc8..dd4fd22886 100644
--- a/math/auto-libm-test-in
+++ b/math/auto-libm-test-in
@@ -302,8 +302,7 @@ hypot -5.7e7 0
 hypot 0.75 1.25
 hypot 1.0 0x1p-61
 hypot 0x1p+0 0x1.fp-129
-# Bug 16314: spurious underflow exception may occur.
-hypot 0x1.23456789abcdef0123456789ab8p-500 0x1.23456789abcdef0123456789ab8p-500 spurious-underflow:dbl-64
+hypot 0x1.23456789abcdef0123456789ab8p-500 0x1.23456789abcdef0123456789ab8p-500
 hypot 0x3p125 0x4p125 no-test-inline:flt-32
 hypot 0x1.234566p-126 0x1.234566p-126 no-test-inline:flt-32
 hypot 0x3p1021 0x4p1021 no-test-inline:dbl-64
diff --git a/math/auto-libm-test-out b/math/auto-libm-test-out
index e91ca55ef1..7076b687ae 100644
--- a/math/auto-libm-test-out
+++ b/math/auto-libm-test-out
@@ -19343,767 +19343,767 @@ hypot 0x1p+0 0x1.fp-129
 = hypot tonearest ldbl-128ibm 0x1p+0L 0xf.8p-132L : 0x1p+0L : inexact-ok
 = hypot towardzero ldbl-128ibm 0x1p+0L 0xf.8p-132L : 0x1p+0L : inexact-ok
 = hypot upward ldbl-128ibm 0x1p+0L 0xf.8p-132L : 0x1.000000000000000000000000008p+0L : inexact-ok
-hypot 0x1.23456789abcdef0123456789ab8p-500 0x1.23456789abcdef0123456789ab8p-500 spurious-underflow:dbl-64
+hypot 0x1.23456789abcdef0123456789ab8p-500 0x1.23456789abcdef0123456789ab8p-500
 = hypot downward flt-32 0x8p-152f 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok
 = hypot tonearest flt-32 0x8p-152f 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok
 = hypot towardzero flt-32 0x8p-152f 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok
 = hypot upward flt-32 0x8p-152f 0x8p-152f : 0x1p-148f : inexact-ok underflow errno-erange-ok
-= hypot downward dbl-64 0x8p-152 0x8p-152 : 0xb.504f333f9de6p-152 : inexact-ok underflow-ok:dbl-64
-= hypot tonearest dbl-64 0x8p-152 0x8p-152 : 0xb.504f333f9de68p-152 : inexact-ok underflow-ok:dbl-64
-= hypot towardzero dbl-64 0x8p-152 0x8p-152 : 0xb.504f333f9de6p-152 : inexact-ok underflow-ok:dbl-64
-= hypot upward dbl-64 0x8p-152 0x8p-152 : 0xb.504f333f9de68p-152 : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-intel 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-intel 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-intel 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-intel 0x8p-152L 0x8p-152L : 0xb.504f333f9de6485p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-m68k 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-m68k 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-m68k 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-m68k 0x8p-152L 0x8p-152L : 0xb.504f333f9de6485p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754a8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754a8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754a8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754bp-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128ibm 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128ibm 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128ibm 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128ibm 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3758p-152L : inexact-ok underflow-ok:dbl-64
+= hypot downward dbl-64 0x8p-152 0x8p-152 : 0xb.504f333f9de6p-152 : inexact-ok
+= hypot tonearest dbl-64 0x8p-152 0x8p-152 : 0xb.504f333f9de68p-152 : inexact-ok
+= hypot towardzero dbl-64 0x8p-152 0x8p-152 : 0xb.504f333f9de6p-152 : inexact-ok
+= hypot upward dbl-64 0x8p-152 0x8p-152 : 0xb.504f333f9de68p-152 : inexact-ok
+= hypot downward ldbl-96-intel 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484p-152L : inexact-ok
+= hypot tonearest ldbl-96-intel 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484p-152L : inexact-ok
+= hypot towardzero ldbl-96-intel 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484p-152L : inexact-ok
+= hypot upward ldbl-96-intel 0x8p-152L 0x8p-152L : 0xb.504f333f9de6485p-152L : inexact-ok
+= hypot downward ldbl-96-m68k 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484p-152L : inexact-ok
+= hypot tonearest ldbl-96-m68k 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484p-152L : inexact-ok
+= hypot towardzero ldbl-96-m68k 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484p-152L : inexact-ok
+= hypot upward ldbl-96-m68k 0x8p-152L 0x8p-152L : 0xb.504f333f9de6485p-152L : inexact-ok
+= hypot downward ldbl-128 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754a8p-152L : inexact-ok
+= hypot tonearest ldbl-128 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754a8p-152L : inexact-ok
+= hypot towardzero ldbl-128 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754a8p-152L : inexact-ok
+= hypot upward ldbl-128 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754bp-152L : inexact-ok
+= hypot downward ldbl-128ibm 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754p-152L : inexact-ok
+= hypot tonearest ldbl-128ibm 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754p-152L : inexact-ok
+= hypot towardzero ldbl-128ibm 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3754p-152L : inexact-ok
+= hypot upward ldbl-128ibm 0x8p-152L 0x8p-152L : 0xb.504f333f9de6484597d89b3758p-152L : inexact-ok
 = hypot downward flt-32 0x8p-152f 0x0p+0f : 0x8p-152f : inexact-ok underflow-ok errno-erange-ok
 = hypot tonearest flt-32 0x8p-152f 0x0p+0f : 0x8p-152f : inexact-ok underflow-ok errno-erange-ok
 = hypot towardzero flt-32 0x8p-152f 0x0p+0f : 0x8p-152f : inexact-ok underflow-ok errno-erange-ok
 = hypot upward flt-32 0x8p-152f 0x0p+0f : 0x8p-152f : inexact-ok underflow-ok errno-erange-ok
-= hypot downward dbl-64 0x8p-152 0x0p+0 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot tonearest dbl-64 0x8p-152 0x0p+0 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot towardzero dbl-64 0x8p-152 0x0p+0 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot upward dbl-64 0x8p-152 0x0p+0 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-intel 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-intel 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-intel 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-intel 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-m68k 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-m68k 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-m68k 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-m68k 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128ibm 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128ibm 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128ibm 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128ibm 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward dbl-64 0x8p-152 0x1.23456789abcdfp-500 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot tonearest dbl-64 0x8p-152 0x1.23456789abcdfp-500 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot towardzero dbl-64 0x8p-152 0x1.23456789abcdfp-500 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot upward dbl-64 0x8p-152 0x1.23456789abcdfp-500 : 0x8.0000000000008p-152 : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-intel 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-intel 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-intel 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-intel 0x8p-152L 0x1.23456789abcdfp-500L : 0x8.000000000000001p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-m68k 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-m68k 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdfp-500L : 0x8.000000000000001p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128 0x8p-152L 0x1.23456789abcdfp-500L : 0x8.0000000000000000000000000008p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128ibm 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128ibm 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128ibm 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128ibm 0x8p-152L 0x1.23456789abcdfp-500L : 0x8.00000000000000000000000004p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward dbl-64 0x8p-152 0x1.23456789abcdep-500 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot tonearest dbl-64 0x8p-152 0x1.23456789abcdep-500 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot towardzero dbl-64 0x8p-152 0x1.23456789abcdep-500 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot upward dbl-64 0x8p-152 0x1.23456789abcdep-500 : 0x8.0000000000008p-152 : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-intel 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-intel 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-intel 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-intel 0x8p-152L 0x1.23456789abcdep-500L : 0x8.000000000000001p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-m68k 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-m68k 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdep-500L : 0x8.000000000000001p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128 0x8p-152L 0x1.23456789abcdep-500L : 0x8.0000000000000000000000000008p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128ibm 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128ibm 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128ibm 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128ibm 0x8p-152L 0x1.23456789abcdep-500L : 0x8.00000000000000000000000004p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-intel 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-intel 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-intel 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-intel 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8.000000000000001p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-m68k 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-m68k 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8.000000000000001p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8.0000000000000000000000000008p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128ibm 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128ibm 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128ibm 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128ibm 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8.00000000000000000000000004p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-intel 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-intel 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-intel 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-intel 0x8p-152L 0x1.23456789abcdefp-500L : 0x8.000000000000001p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-m68k 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-m68k 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdefp-500L : 0x8.000000000000001p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128 0x8p-152L 0x1.23456789abcdefp-500L : 0x8.0000000000000000000000000008p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128ibm 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128ibm 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128ibm 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128ibm 0x8p-152L 0x1.23456789abcdefp-500L : 0x8.00000000000000000000000004p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8.0000000000000000000000000008p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128ibm 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128ibm 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128ibm 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128ibm 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8.00000000000000000000000004p-152L : inexact-ok underflow-ok:dbl-64
+= hypot downward dbl-64 0x8p-152 0x0p+0 : 0x8p-152 : inexact-ok
+= hypot tonearest dbl-64 0x8p-152 0x0p+0 : 0x8p-152 : inexact-ok
+= hypot towardzero dbl-64 0x8p-152 0x0p+0 : 0x8p-152 : inexact-ok
+= hypot upward dbl-64 0x8p-152 0x0p+0 : 0x8p-152 : inexact-ok
+= hypot downward ldbl-96-intel 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-96-intel 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-96-intel 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-96-intel 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot downward ldbl-96-m68k 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-96-m68k 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-96-m68k 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-96-m68k 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot downward ldbl-128 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-128 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-128 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-128 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot downward ldbl-128ibm 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-128ibm 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-128ibm 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-128ibm 0x8p-152L 0x0p+0L : 0x8p-152L : inexact-ok
+= hypot downward dbl-64 0x8p-152 0x1.23456789abcdfp-500 : 0x8p-152 : inexact-ok
+= hypot tonearest dbl-64 0x8p-152 0x1.23456789abcdfp-500 : 0x8p-152 : inexact-ok
+= hypot towardzero dbl-64 0x8p-152 0x1.23456789abcdfp-500 : 0x8p-152 : inexact-ok
+= hypot upward dbl-64 0x8p-152 0x1.23456789abcdfp-500 : 0x8.0000000000008p-152 : inexact-ok
+= hypot downward ldbl-96-intel 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-96-intel 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-96-intel 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-96-intel 0x8p-152L 0x1.23456789abcdfp-500L : 0x8.000000000000001p-152L : inexact-ok
+= hypot downward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-96-m68k 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-96-m68k 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdfp-500L : 0x8.000000000000001p-152L : inexact-ok
+= hypot downward ldbl-128 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-128 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-128 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-128 0x8p-152L 0x1.23456789abcdfp-500L : 0x8.0000000000000000000000000008p-152L : inexact-ok
+= hypot downward ldbl-128ibm 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-128ibm 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-128ibm 0x8p-152L 0x1.23456789abcdfp-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-128ibm 0x8p-152L 0x1.23456789abcdfp-500L : 0x8.00000000000000000000000004p-152L : inexact-ok
+= hypot downward dbl-64 0x8p-152 0x1.23456789abcdep-500 : 0x8p-152 : inexact-ok
+= hypot tonearest dbl-64 0x8p-152 0x1.23456789abcdep-500 : 0x8p-152 : inexact-ok
+= hypot towardzero dbl-64 0x8p-152 0x1.23456789abcdep-500 : 0x8p-152 : inexact-ok
+= hypot upward dbl-64 0x8p-152 0x1.23456789abcdep-500 : 0x8.0000000000008p-152 : inexact-ok
+= hypot downward ldbl-96-intel 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-96-intel 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-96-intel 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-96-intel 0x8p-152L 0x1.23456789abcdep-500L : 0x8.000000000000001p-152L : inexact-ok
+= hypot downward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-96-m68k 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-96-m68k 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdep-500L : 0x8.000000000000001p-152L : inexact-ok
+= hypot downward ldbl-128 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-128 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-128 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-128 0x8p-152L 0x1.23456789abcdep-500L : 0x8.0000000000000000000000000008p-152L : inexact-ok
+= hypot downward ldbl-128ibm 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-128ibm 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-128ibm 0x8p-152L 0x1.23456789abcdep-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-128ibm 0x8p-152L 0x1.23456789abcdep-500L : 0x8.00000000000000000000000004p-152L : inexact-ok
+= hypot downward ldbl-96-intel 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-96-intel 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-96-intel 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-96-intel 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8.000000000000001p-152L : inexact-ok
+= hypot downward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-96-m68k 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-96-m68k 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8.000000000000001p-152L : inexact-ok
+= hypot downward ldbl-128 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-128 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-128 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-128 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8.0000000000000000000000000008p-152L : inexact-ok
+= hypot downward ldbl-128ibm 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-128ibm 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-128ibm 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-128ibm 0x8p-152L 0x1.23456789abcdef02p-500L : 0x8.00000000000000000000000004p-152L : inexact-ok
+= hypot downward ldbl-96-intel 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-96-intel 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-96-intel 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-96-intel 0x8p-152L 0x1.23456789abcdefp-500L : 0x8.000000000000001p-152L : inexact-ok
+= hypot downward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-96-m68k 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-96-m68k 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-96-m68k 0x8p-152L 0x1.23456789abcdefp-500L : 0x8.000000000000001p-152L : inexact-ok
+= hypot downward ldbl-128 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-128 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-128 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-128 0x8p-152L 0x1.23456789abcdefp-500L : 0x8.0000000000000000000000000008p-152L : inexact-ok
+= hypot downward ldbl-128ibm 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-128ibm 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-128ibm 0x8p-152L 0x1.23456789abcdefp-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-128ibm 0x8p-152L 0x1.23456789abcdefp-500L : 0x8.00000000000000000000000004p-152L : inexact-ok
+= hypot downward ldbl-128 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-128 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-128 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-128 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8.0000000000000000000000000008p-152L : inexact-ok
+= hypot downward ldbl-128ibm 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8p-152L : inexact-ok
+= hypot tonearest ldbl-128ibm 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8p-152L : inexact-ok
+= hypot towardzero ldbl-128ibm 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8p-152L : inexact-ok
+= hypot upward ldbl-128ibm 0x8p-152L 0x1.23456789abcdef0123456789ab8p-500L : 0x8.00000000000000000000000004p-152L : inexact-ok
 = hypot downward flt-32 0x0p+0f 0x8p-152f : 0x8p-152f : inexact-ok underflow-ok errno-erange-ok
 = hypot tonearest flt-32 0x0p+0f 0x8p-152f : 0x8p-152f : inexact-ok underflow-ok errno-erange-ok
 = hypot towardzero flt-32 0x0p+0f 0x8p-152f : 0x8p-152f : inexact-ok underflow-ok errno-erange-ok
 = hypot upward flt-32 0x0p+0f 0x8p-152f : 0x8p-152f : inexact-ok underflow-ok errno-erange-ok
-= hypot downward dbl-64 0x0p+0 0x8p-152 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot tonearest dbl-64 0x0p+0 0x8p-152 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot towardzero dbl-64 0x0p+0 0x8p-152 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot upward dbl-64 0x0p+0 0x8p-152 : 0x8p-152 : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-intel 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-intel 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-intel 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-intel 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-m68k 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-m68k 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-m68k 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-m68k 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128ibm 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128ibm 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128ibm 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128ibm 0x0p+0L 0x8p-152L : 0x8p-152L : inexact-ok underflow-ok:dbl-64
-= hypot downward flt-32 0x0p+0f 0x0p+0f : 0x0p+0f : inexact-ok underflow-ok:dbl-64
-= hypot tonearest flt-32 0x0p+0f 0x0p+0f : 0x0p+0f : inexact-ok underflow-ok:dbl-64
-= hypot towardzero flt-32 0x0p+0f 0x0p+0f : 0x0p+0f : inexact-ok underflow-ok:dbl-64
-= hypot upward flt-32 0x0p+0f 0x0p+0f : 0x0p+0f : inexact-ok underflow-ok:dbl-64
-= hypot downward dbl-64 0x0p+0 0x0p+0 : 0x0p+0 : inexact-ok underflow-ok:dbl-64
-= hypot tonearest dbl-64 0x0p+0 0x0p+0 : 0x0p+0 : inexact-ok underflow-ok:dbl-64
-= hypot towardzero dbl-64 0x0p+0 0x0p+0 : 0x0p+0 : inexact-ok underflow-ok:dbl-64
-= hypot upward dbl-64 0x0p+0 0x0p+0 : 0x0p+0 : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-intel 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-intel 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-intel 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-intel 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-m68k 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-m68k 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-96-m68k 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-96-m68k 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-128ibm 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-128ibm 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot towardzero ldbl-128ibm 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot upward ldbl-128ibm 0x0p+0L 0x0p+0L : 0x0p+0L : inexact-ok underflow-ok:dbl-64
-= hypot downward dbl-64 0x0p+0 0x1.23456789abcdfp-500 : 0x1.23456789abcdfp-500 : inexact-ok underflow-ok:dbl-64
-= hypot tonearest dbl-64 0x0p+0 0x1.23456789abcdfp-500 : 0x1.23456789abcdfp-500 : inexact-ok underflow-ok:dbl-64
-= hypot towardzero dbl-64 0x0p+0 0x1.23456789abcdfp-500 : 0x1.23456789abcdfp-500 : inexact-ok underflow-ok:dbl-64
-= hypot upward dbl-64 0x0p+0 0x1.23456789abcdfp-500 : 0x1.23456789abcdfp-500 : inexact-ok underflow-ok:dbl-64
-= hypot downward ldbl-96-intel 0x0p+0L 0x1.23456789abcdfp-500L : 0x1.23456789abcdfp-500L : inexact-ok underflow-ok:dbl-64
-= hypot tonearest ldbl-96-intel 0x0p+0L 0x1