Add more tests of log2.

In testing for x86_64 on an AMD processor, I observed libm test
failures of the form:

testing long double (without inline functions)
Failure: Test: log2_downward (0x2.b7e151628aed4p+0)
Result:
 is:          1.44269504088896356633e+00   0xb.8aa3b295c17f67600000p-3
 should be:   1.44269504088896356622e+00   0xb.8aa3b295c17f67500000p-3
 difference:  1.08420217248550443400e-19   0x8.00000000000000000000p-66
 ulp       :  1.0000
 max.ulp   :  0.0000
Maximal error of `log2_downward'
 is      : 1 ulp
 accepted: 0 ulp

These issues arise because the maximum ulps when regenerating on one
processor are not the same as on another processor, so regeneration on
several processors may be needed when updating libm-test-ulps to avoid
failures for some users testing glibc - but such regeneration on
multiple processors is inconvenient.  Causes can be: on x86 and, for
x86_64, for long double, variation in results of x87 instructions for
transcendental operations between processors; on x86, variation in
compiler excess precision between compiler versions and
configurations; on any processor where the compiler may contract
expressions using fused multiply-add, variation in what contraction
occurs.

Although it's hard to be sure libm-test-ulps covers all ulps that may
be seen in any configuration for the given architecture, in practice
it helps simply to add wider test coverage to make it more likely
that, when testing on one processor, the ulps seen are the biggest
that can be seen for that function on that processor, and hopefully
they are also the biggest that can be seen for that function in other
configurations for that architecture.  Thus, this patch adds some
tests of log2 that increase the ulps I see on x86_64 on an Intel
processor, so that hopefully future from-scratch regenerations on that
processor will produce ulps big enough not to have errors from testing
on AMD processors.  These tests were found by randomly generating
inputs and seeing what produced ulps larger than those currently in
libm-test-ulps.  Of course such increases also improve the accuracy of
the empirical table of known ulps generated from libm-test-ulps files
that goes in the manual.

Tested for x86_64 and x86 and ulps updated accordingly.

	* math/auto-libm-test-in: Add more tests of log2.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.

2 files changed, 324 insertions, 0 deletions

diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in
index 4a9f935..91d2ae6 100644
--- a/math/auto-libm-test-in
+++ b/math/auto-libm-test-in
@@ -1656,6 +1656,12 @@ log2 2.0
 log2 16.0
 log2 256.0
 log2 0.75
+log2 0x1.28d3b4p+0
+log2 0xe.d99dap-4
+log2 0x1.63d202d04392cp+0
+log2 0xf.d9ce0b1a50e08p-4
+log2 0x1.07465bdc7e41b52ep+0
+log2 0xf.4dfb4p-48
 log2 min
 log2 min_subnorm
 
diff --git a/math/auto-libm-test-out b/math/auto-libm-test-out
index 223caf2..8d31229 100644
--- a/math/auto-libm-test-out
+++ b/math/auto-libm-test-out
@@ -133788,6 +133788,324 @@ log2 0.75
 = log2 tonearest ldbl-128ibm 0xcp-4L : -0x6.a3fe5c6042978605ff4edf5f98p-4L : inexact-ok
 = log2 towardzero ldbl-128ibm 0xcp-4L : -0x6.a3fe5c6042978605ff4edf5f96p-4L : inexact-ok
 = log2 upward ldbl-128ibm 0xcp-4L : -0x6.a3fe5c6042978605ff4edf5f96p-4L : inexact-ok
+log2 0x1.28d3b4p+0
+= log2 downward flt-32 0x1.28d3b4p+0f : 0x3.6a6844p-4f : inexact-ok
+= log2 tonearest flt-32 0x1.28d3b4p+0f : 0x3.6a6848p-4f : inexact-ok
+= log2 towardzero flt-32 0x1.28d3b4p+0f : 0x3.6a6844p-4f : inexact-ok
+= log2 upward flt-32 0x1.28d3b4p+0f : 0x3.6a6848p-4f : inexact-ok
+= log2 downward dbl-64 0x1.28d3b4p+0 : 0x3.6a6846287159cp-4 : inexact-ok
+= log2 tonearest dbl-64 0x1.28d3b4p+0 : 0x3.6a6846287159cp-4 : inexact-ok
+= log2 towardzero dbl-64 0x1.28d3b4p+0 : 0x3.6a6846287159cp-4 : inexact-ok
+= log2 upward dbl-64 0x1.28d3b4p+0 : 0x3.6a6846287159ep-4 : inexact-ok
+= log2 downward ldbl-96-intel 0x1.28d3b4p+0L : 0x3.6a6846287159cebp-4L : inexact-ok
+= log2 tonearest ldbl-96-intel 0x1.28d3b4p+0L : 0x3.6a6846287159cebp-4L : inexact-ok
+= log2 towardzero ldbl-96-intel 0x1.28d3b4p+0L : 0x3.6a6846287159cebp-4L : inexact-ok
+= log2 upward ldbl-96-intel 0x1.28d3b4p+0L : 0x3.6a6846287159ceb4p-4L : inexact-ok
+= log2 downward ldbl-96-m68k 0x1.28d3b4p+0L : 0x3.6a6846287159cebp-4L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0x1.28d3b4p+0L : 0x3.6a6846287159cebp-4L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0x1.28d3b4p+0L : 0x3.6a6846287159cebp-4L : inexact-ok
+= log2 upward ldbl-96-m68k 0x1.28d3b4p+0L : 0x3.6a6846287159ceb4p-4L : inexact-ok
+= log2 downward ldbl-128 0x1.28d3b4p+0L : 0x3.6a6846287159ceb1f8d965deea72p-4L : inexact-ok
+= log2 tonearest ldbl-128 0x1.28d3b4p+0L : 0x3.6a6846287159ceb1f8d965deea72p-4L : inexact-ok
+= log2 towardzero ldbl-128 0x1.28d3b4p+0L : 0x3.6a6846287159ceb1f8d965deea72p-4L : inexact-ok
+= log2 upward ldbl-128 0x1.28d3b4p+0L : 0x3.6a6846287159ceb1f8d965deea74p-4L : inexact-ok
+= log2 downward ldbl-128ibm 0x1.28d3b4p+0L : 0x3.6a6846287159ceb1f8d965deeap-4L : inexact-ok
+= log2 tonearest ldbl-128ibm 0x1.28d3b4p+0L : 0x3.6a6846287159ceb1f8d965deeap-4L : inexact-ok
+= log2 towardzero ldbl-128ibm 0x1.28d3b4p+0L : 0x3.6a6846287159ceb1f8d965deeap-4L : inexact-ok
+= log2 upward ldbl-128ibm 0x1.28d3b4p+0L : 0x3.6a6846287159ceb1f8d965deebp-4L : inexact-ok
+log2 0xe.d99dap-4
+= log2 downward flt-32 0xe.d99dap-4f : -0x1.b8bdfp-4f : inexact-ok
+= log2 tonearest flt-32 0xe.d99dap-4f : -0x1.b8bdeep-4f : inexact-ok
+= log2 towardzero flt-32 0xe.d99dap-4f : -0x1.b8bdeep-4f : inexact-ok
+= log2 upward flt-32 0xe.d99dap-4f : -0x1.b8bdeep-4f : inexact-ok
+= log2 downward dbl-64 0xe.d99dap-4 : -0x1.b8bdee5bd4283p-4 : inexact-ok
+= log2 tonearest dbl-64 0xe.d99dap-4 : -0x1.b8bdee5bd4282p-4 : inexact-ok
+= log2 towardzero dbl-64 0xe.d99dap-4 : -0x1.b8bdee5bd4282p-4 : inexact-ok
+= log2 upward dbl-64 0xe.d99dap-4 : -0x1.b8bdee5bd4282p-4 : inexact-ok
+= log2 downward ldbl-96-intel 0xe.d99dap-4L : -0x1.b8bdee5bd428255p-4L : inexact-ok
+= log2 tonearest ldbl-96-intel 0xe.d99dap-4L : -0x1.b8bdee5bd428254ep-4L : inexact-ok
+= log2 towardzero ldbl-96-intel 0xe.d99dap-4L : -0x1.b8bdee5bd428254ep-4L : inexact-ok
+= log2 upward ldbl-96-intel 0xe.d99dap-4L : -0x1.b8bdee5bd428254ep-4L : inexact-ok
+= log2 downward ldbl-96-m68k 0xe.d99dap-4L : -0x1.b8bdee5bd428255p-4L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0xe.d99dap-4L : -0x1.b8bdee5bd428254ep-4L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0xe.d99dap-4L : -0x1.b8bdee5bd428254ep-4L : inexact-ok
+= log2 upward ldbl-96-m68k 0xe.d99dap-4L : -0x1.b8bdee5bd428254ep-4L : inexact-ok
+= log2 downward ldbl-128 0xe.d99dap-4L : -0x1.b8bdee5bd428254ebf7ead086211p-4L : inexact-ok
+= log2 tonearest ldbl-128 0xe.d99dap-4L : -0x1.b8bdee5bd428254ebf7ead086211p-4L : inexact-ok
+= log2 towardzero ldbl-128 0xe.d99dap-4L : -0x1.b8bdee5bd428254ebf7ead08621p-4L : inexact-ok
+= log2 upward ldbl-128 0xe.d99dap-4L : -0x1.b8bdee5bd428254ebf7ead08621p-4L : inexact-ok
+= log2 downward ldbl-128ibm 0xe.d99dap-4L : -0x1.b8bdee5bd428254ebf7ead08628p-4L : inexact-ok
+= log2 tonearest ldbl-128ibm 0xe.d99dap-4L : -0x1.b8bdee5bd428254ebf7ead0862p-4L : inexact-ok
+= log2 towardzero ldbl-128ibm 0xe.d99dap-4L : -0x1.b8bdee5bd428254ebf7ead0862p-4L : inexact-ok
+= log2 upward ldbl-128ibm 0xe.d99dap-4L : -0x1.b8bdee5bd428254ebf7ead0862p-4L : inexact-ok
+log2 0x1.63d202d04392cp+0
+= log2 downward flt-32 0x1.63d204p+0f : 0x7.999f28p-4f : inexact-ok
+= log2 tonearest flt-32 0x1.63d204p+0f : 0x7.999f28p-4f : inexact-ok
+= log2 towardzero flt-32 0x1.63d204p+0f : 0x7.999f28p-4f : inexact-ok
+= log2 upward flt-32 0x1.63d204p+0f : 0x7.999f3p-4f : inexact-ok
+= log2 downward dbl-64 0x1.63d204p+0 : 0x7.999f2a94857bp-4 : inexact-ok
+= log2 tonearest dbl-64 0x1.63d204p+0 : 0x7.999f2a94857b4p-4 : inexact-ok
+= log2 towardzero dbl-64 0x1.63d204p+0 : 0x7.999f2a94857bp-4 : inexact-ok
+= log2 upward dbl-64 0x1.63d204p+0 : 0x7.999f2a94857b4p-4 : inexact-ok
+= log2 downward ldbl-96-intel 0x1.63d204p+0L : 0x7.999f2a94857b22ep-4L : inexact-ok
+= log2 tonearest ldbl-96-intel 0x1.63d204p+0L : 0x7.999f2a94857b22ep-4L : inexact-ok
+= log2 towardzero ldbl-96-intel 0x1.63d204p+0L : 0x7.999f2a94857b22ep-4L : inexact-ok
+= log2 upward ldbl-96-intel 0x1.63d204p+0L : 0x7.999f2a94857b22e8p-4L : inexact-ok
+= log2 downward ldbl-96-m68k 0x1.63d204p+0L : 0x7.999f2a94857b22ep-4L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0x1.63d204p+0L : 0x7.999f2a94857b22ep-4L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0x1.63d204p+0L : 0x7.999f2a94857b22ep-4L : inexact-ok
+= log2 upward ldbl-96-m68k 0x1.63d204p+0L : 0x7.999f2a94857b22e8p-4L : inexact-ok
+= log2 downward ldbl-128 0x1.63d204p+0L : 0x7.999f2a94857b22e23de191021e94p-4L : inexact-ok
+= log2 tonearest ldbl-128 0x1.63d204p+0L : 0x7.999f2a94857b22e23de191021e94p-4L : inexact-ok
+= log2 towardzero ldbl-128 0x1.63d204p+0L : 0x7.999f2a94857b22e23de191021e94p-4L : inexact-ok
+= log2 upward ldbl-128 0x1.63d204p+0L : 0x7.999f2a94857b22e23de191021e98p-4L : inexact-ok
+= log2 downward ldbl-128ibm 0x1.63d204p+0L : 0x7.999f2a94857b22e23de191021ep-4L : inexact-ok
+= log2 tonearest ldbl-128ibm 0x1.63d204p+0L : 0x7.999f2a94857b22e23de191021ep-4L : inexact-ok
+= log2 towardzero ldbl-128ibm 0x1.63d204p+0L : 0x7.999f2a94857b22e23de191021ep-4L : inexact-ok
+= log2 upward ldbl-128ibm 0x1.63d204p+0L : 0x7.999f2a94857b22e23de191022p-4L : inexact-ok
+= log2 downward flt-32 0x1.63d202p+0f : 0x7.999f08p-4f : inexact-ok
+= log2 tonearest flt-32 0x1.63d202p+0f : 0x7.999f08p-4f : inexact-ok
+= log2 towardzero flt-32 0x1.63d202p+0f : 0x7.999f08p-4f : inexact-ok
+= log2 upward flt-32 0x1.63d202p+0f : 0x7.999f1p-4f : inexact-ok
+= log2 downward dbl-64 0x1.63d202p+0 : 0x7.999f095d7e15p-4 : inexact-ok
+= log2 tonearest dbl-64 0x1.63d202p+0 : 0x7.999f095d7e15p-4 : inexact-ok
+= log2 towardzero dbl-64 0x1.63d202p+0 : 0x7.999f095d7e15p-4 : inexact-ok
+= log2 upward dbl-64 0x1.63d202p+0 : 0x7.999f095d7e154p-4 : inexact-ok
+= log2 downward ldbl-96-intel 0x1.63d202p+0L : 0x7.999f095d7e150198p-4L : inexact-ok
+= log2 tonearest ldbl-96-intel 0x1.63d202p+0L : 0x7.999f095d7e150198p-4L : inexact-ok
+= log2 towardzero ldbl-96-intel 0x1.63d202p+0L : 0x7.999f095d7e150198p-4L : inexact-ok
+= log2 upward ldbl-96-intel 0x1.63d202p+0L : 0x7.999f095d7e1501ap-4L : inexact-ok
+= log2 downward ldbl-96-m68k 0x1.63d202p+0L : 0x7.999f095d7e150198p-4L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0x1.63d202p+0L : 0x7.999f095d7e150198p-4L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0x1.63d202p+0L : 0x7.999f095d7e150198p-4L : inexact-ok
+= log2 upward ldbl-96-m68k 0x1.63d202p+0L : 0x7.999f095d7e1501ap-4L : inexact-ok
+= log2 downward ldbl-128 0x1.63d202p+0L : 0x7.999f095d7e150199097308f7442p-4L : inexact-ok
+= log2 tonearest ldbl-128 0x1.63d202p+0L : 0x7.999f095d7e150199097308f7442p-4L : inexact-ok
+= log2 towardzero ldbl-128 0x1.63d202p+0L : 0x7.999f095d7e150199097308f7442p-4L : inexact-ok
+= log2 upward ldbl-128 0x1.63d202p+0L : 0x7.999f095d7e150199097308f74424p-4L : inexact-ok
+= log2 downward ldbl-128ibm 0x1.63d202p+0L : 0x7.999f095d7e150199097308f744p-4L : inexact-ok
+= log2 tonearest ldbl-128ibm 0x1.63d202p+0L : 0x7.999f095d7e150199097308f744p-4L : inexact-ok
+= log2 towardzero ldbl-128ibm 0x1.63d202p+0L : 0x7.999f095d7e150199097308f744p-4L : inexact-ok
+= log2 upward ldbl-128ibm 0x1.63d202p+0L : 0x7.999f095d7e150199097308f746p-4L : inexact-ok
+= log2 downward dbl-64 0x1.63d202d04392cp+0 : 0x7.999f16e03b54cp-4 : inexact-ok
+= log2 tonearest dbl-64 0x1.63d202d04392cp+0 : 0x7.999f16e03b55p-4 : inexact-ok
+= log2 towardzero dbl-64 0x1.63d202d04392cp+0 : 0x7.999f16e03b54cp-4 : inexact-ok
+= log2 upward dbl-64 0x1.63d202d04392cp+0 : 0x7.999f16e03b55p-4 : inexact-ok
+= log2 downward ldbl-96-intel 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0fp-4L : inexact-ok
+= log2 tonearest ldbl-96-intel 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0f8p-4L : inexact-ok
+= log2 towardzero ldbl-96-intel 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0fp-4L : inexact-ok
+= log2 upward ldbl-96-intel 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0f8p-4L : inexact-ok
+= log2 downward ldbl-96-m68k 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0fp-4L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0f8p-4L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0fp-4L : inexact-ok
+= log2 upward ldbl-96-m68k 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0f8p-4L : inexact-ok
+= log2 downward ldbl-128 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0f55354326ba2c4p-4L : inexact-ok
+= log2 tonearest ldbl-128 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0f55354326ba2c8p-4L : inexact-ok
+= log2 towardzero ldbl-128 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0f55354326ba2c4p-4L : inexact-ok
+= log2 upward ldbl-128 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0f55354326ba2c8p-4L : inexact-ok
+= log2 downward ldbl-128ibm 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0f55354326ba2p-4L : inexact-ok
+= log2 tonearest ldbl-128ibm 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0f55354326ba2p-4L : inexact-ok
+= log2 towardzero ldbl-128ibm 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0f55354326ba2p-4L : inexact-ok
+= log2 upward ldbl-128ibm 0x1.63d202d04392cp+0L : 0x7.999f16e03b54e0f55354326ba4p-4L : inexact-ok
+log2 0xf.d9ce0b1a50e08p-4
+= log2 downward flt-32 0xf.d9ce1p-4f : -0x3.75cc4p-8f : inexact-ok
+= log2 tonearest flt-32 0xf.d9ce1p-4f : -0x3.75cc4p-8f : inexact-ok
+= log2 towardzero flt-32 0xf.d9ce1p-4f : -0x3.75cc3cp-8f : inexact-ok
+= log2 upward flt-32 0xf.d9ce1p-4f : -0x3.75cc3cp-8f : inexact-ok
+= log2 downward dbl-64 0xf.d9ce1p-4 : -0x3.75cc3f2233d66p-8 : inexact-ok
+= log2 tonearest dbl-64 0xf.d9ce1p-4 : -0x3.75cc3f2233d66p-8 : inexact-ok
+= log2 towardzero dbl-64 0xf.d9ce1p-4 : -0x3.75cc3f2233d64p-8 : inexact-ok
+= log2 upward dbl-64 0xf.d9ce1p-4 : -0x3.75cc3f2233d64p-8 : inexact-ok
+= log2 downward ldbl-96-intel 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c74p-8L : inexact-ok
+= log2 tonearest ldbl-96-intel 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c7p-8L : inexact-ok
+= log2 towardzero ldbl-96-intel 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c7p-8L : inexact-ok
+= log2 upward ldbl-96-intel 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c7p-8L : inexact-ok
+= log2 downward ldbl-96-m68k 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c74p-8L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c7p-8L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c7p-8L : inexact-ok
+= log2 upward ldbl-96-m68k 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c7p-8L : inexact-ok
+= log2 downward ldbl-128 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c71f491713f54cap-8L : inexact-ok
+= log2 tonearest ldbl-128 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c71f491713f54c8p-8L : inexact-ok
+= log2 towardzero ldbl-128 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c71f491713f54c8p-8L : inexact-ok
+= log2 upward ldbl-128 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c71f491713f54c8p-8L : inexact-ok
+= log2 downward ldbl-128ibm 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c71f491713f55p-8L : inexact-ok
+= log2 tonearest ldbl-128ibm 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c71f491713f55p-8L : inexact-ok
+= log2 towardzero ldbl-128ibm 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c71f491713f54p-8L : inexact-ok
+= log2 upward ldbl-128ibm 0xf.d9ce1p-4L : -0x3.75cc3f2233d65c71f491713f54p-8L : inexact-ok
+= log2 downward flt-32 0xf.d9cep-4f : -0x3.75cdb4p-8f : inexact-ok
+= log2 tonearest flt-32 0xf.d9cep-4f : -0x3.75cdb4p-8f : inexact-ok
+= log2 towardzero flt-32 0xf.d9cep-4f : -0x3.75cdbp-8f : inexact-ok
+= log2 upward flt-32 0xf.d9cep-4f : -0x3.75cdbp-8f : inexact-ok
+= log2 downward dbl-64 0xf.d9cep-4 : -0x3.75cdb3f0a0b66p-8 : inexact-ok
+= log2 tonearest dbl-64 0xf.d9cep-4 : -0x3.75cdb3f0a0b66p-8 : inexact-ok
+= log2 towardzero dbl-64 0xf.d9cep-4 : -0x3.75cdb3f0a0b64p-8 : inexact-ok
+= log2 upward dbl-64 0xf.d9cep-4 : -0x3.75cdb3f0a0b64p-8 : inexact-ok
+= log2 downward ldbl-96-intel 0xf.d9cep-4L : -0x3.75cdb3f0a0b65598p-8L : inexact-ok
+= log2 tonearest ldbl-96-intel 0xf.d9cep-4L : -0x3.75cdb3f0a0b65598p-8L : inexact-ok
+= log2 towardzero ldbl-96-intel 0xf.d9cep-4L : -0x3.75cdb3f0a0b65594p-8L : inexact-ok
+= log2 upward ldbl-96-intel 0xf.d9cep-4L : -0x3.75cdb3f0a0b65594p-8L : inexact-ok
+= log2 downward ldbl-96-m68k 0xf.d9cep-4L : -0x3.75cdb3f0a0b65598p-8L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0xf.d9cep-4L : -0x3.75cdb3f0a0b65598p-8L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0xf.d9cep-4L : -0x3.75cdb3f0a0b65594p-8L : inexact-ok
+= log2 upward ldbl-96-m68k 0xf.d9cep-4L : -0x3.75cdb3f0a0b65594p-8L : inexact-ok
+= log2 downward ldbl-128 0xf.d9cep-4L : -0x3.75cdb3f0a0b655972857a48ecdfap-8L : inexact-ok
+= log2 tonearest ldbl-128 0xf.d9cep-4L : -0x3.75cdb3f0a0b655972857a48ecdfap-8L : inexact-ok
+= log2 towardzero ldbl-128 0xf.d9cep-4L : -0x3.75cdb3f0a0b655972857a48ecdf8p-8L : inexact-ok
+= log2 upward ldbl-128 0xf.d9cep-4L : -0x3.75cdb3f0a0b655972857a48ecdf8p-8L : inexact-ok
+= log2 downward ldbl-128ibm 0xf.d9cep-4L : -0x3.75cdb3f0a0b655972857a48ecep-8L : inexact-ok
+= log2 tonearest ldbl-128ibm 0xf.d9cep-4L : -0x3.75cdb3f0a0b655972857a48ecep-8L : inexact-ok
+= log2 towardzero ldbl-128ibm 0xf.d9cep-4L : -0x3.75cdb3f0a0b655972857a48ecdp-8L : inexact-ok
+= log2 upward ldbl-128ibm 0xf.d9cep-4L : -0x3.75cdb3f0a0b655972857a48ecdp-8L : inexact-ok
+= log2 downward dbl-64 0xf.d9ce0b1a50e08p-4 : -0x3.75ccb13d89cc8p-8 : inexact-ok
+= log2 tonearest dbl-64 0xf.d9ce0b1a50e08p-4 : -0x3.75ccb13d89cc6p-8 : inexact-ok
+= log2 towardzero dbl-64 0xf.d9ce0b1a50e08p-4 : -0x3.75ccb13d89cc6p-8 : inexact-ok
+= log2 upward dbl-64 0xf.d9ce0b1a50e08p-4 : -0x3.75ccb13d89cc6p-8 : inexact-ok
+= log2 downward ldbl-96-intel 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66fp-8L : inexact-ok
+= log2 tonearest ldbl-96-intel 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66fp-8L : inexact-ok
+= log2 towardzero ldbl-96-intel 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66ecp-8L : inexact-ok
+= log2 upward ldbl-96-intel 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66ecp-8L : inexact-ok
+= log2 downward ldbl-96-m68k 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66fp-8L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66fp-8L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66ecp-8L : inexact-ok
+= log2 upward ldbl-96-m68k 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66ecp-8L : inexact-ok
+= log2 downward ldbl-128 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66ee72a7e068c0eap-8L : inexact-ok
+= log2 tonearest ldbl-128 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66ee72a7e068c0eap-8L : inexact-ok
+= log2 towardzero ldbl-128 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66ee72a7e068c0e8p-8L : inexact-ok
+= log2 upward ldbl-128 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66ee72a7e068c0e8p-8L : inexact-ok
+= log2 downward ldbl-128ibm 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66ee72a7e068c1p-8L : inexact-ok
+= log2 tonearest ldbl-128ibm 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66ee72a7e068c1p-8L : inexact-ok
+= log2 towardzero ldbl-128ibm 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66ee72a7e068cp-8L : inexact-ok
+= log2 upward ldbl-128ibm 0xf.d9ce0b1a50e08p-4L : -0x3.75ccb13d89cc66ee72a7e068cp-8L : inexact-ok
+log2 0x1.07465bdc7e41b52ep+0
+= log2 downward flt-32 0x1.07465cp+0f : 0xa.59594p-8f : inexact-ok
+= log2 tonearest flt-32 0x1.07465cp+0f : 0xa.59594p-8f : inexact-ok
+= log2 towardzero flt-32 0x1.07465cp+0f : 0xa.59594p-8f : inexact-ok
+= log2 upward flt-32 0x1.07465cp+0f : 0xa.59595p-8f : inexact-ok
+= log2 downward dbl-64 0x1.07465cp+0 : 0xa.5959448ade0b8p-8 : inexact-ok
+= log2 tonearest dbl-64 0x1.07465cp+0 : 0xa.5959448ade0cp-8 : inexact-ok
+= log2 towardzero dbl-64 0x1.07465cp+0 : 0xa.5959448ade0b8p-8 : inexact-ok
+= log2 upward dbl-64 0x1.07465cp+0 : 0xa.5959448ade0cp-8 : inexact-ok
+= log2 downward ldbl-96-intel 0x1.07465cp+0L : 0xa.5959448ade0bdcbp-8L : inexact-ok
+= log2 tonearest ldbl-96-intel 0x1.07465cp+0L : 0xa.5959448ade0bdcbp-8L : inexact-ok
+= log2 towardzero ldbl-96-intel 0x1.07465cp+0L : 0xa.5959448ade0bdcbp-8L : inexact-ok
+= log2 upward ldbl-96-intel 0x1.07465cp+0L : 0xa.5959448ade0bdccp-8L : inexact-ok
+= log2 downward ldbl-96-m68k 0x1.07465cp+0L : 0xa.5959448ade0bdcbp-8L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0x1.07465cp+0L : 0xa.5959448ade0bdcbp-8L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0x1.07465cp+0L : 0xa.5959448ade0bdcbp-8L : inexact-ok
+= log2 upward ldbl-96-m68k 0x1.07465cp+0L : 0xa.5959448ade0bdccp-8L : inexact-ok
+= log2 downward ldbl-128 0x1.07465cp+0L : 0xa.5959448ade0bdcb61198f8dd2668p-8L : inexact-ok
+= log2 tonearest ldbl-128 0x1.07465cp+0L : 0xa.5959448ade0bdcb61198f8dd2668p-8L : inexact-ok
+= log2 towardzero ldbl-128 0x1.07465cp+0L : 0xa.5959448ade0bdcb61198f8dd2668p-8L : inexact-ok
+= log2 upward ldbl-128 0x1.07465cp+0L : 0xa.5959448ade0bdcb61198f8dd267p-8L : inexact-ok
+= log2 downward ldbl-128ibm 0x1.07465cp+0L : 0xa.5959448ade0bdcb61198f8dd24p-8L : inexact-ok
+= log2 tonearest ldbl-128ibm 0x1.07465cp+0L : 0xa.5959448ade0bdcb61198f8dd28p-8L : inexact-ok
+= log2 towardzero ldbl-128ibm 0x1.07465cp+0L : 0xa.5959448ade0bdcb61198f8dd24p-8L : inexact-ok
+= log2 upward ldbl-128ibm 0x1.07465cp+0L : 0xa.5959448ade0bdcb61198f8dd28p-8L : inexact-ok
+= log2 downward flt-32 0x1.07465ap+0f : 0xa.59567p-8f : inexact-ok
+= log2 tonearest flt-32 0x1.07465ap+0f : 0xa.59567p-8f : inexact-ok
+= log2 towardzero flt-32 0x1.07465ap+0f : 0xa.59567p-8f : inexact-ok
+= log2 upward flt-32 0x1.07465ap+0f : 0xa.59568p-8f : inexact-ok
+= log2 downward dbl-64 0x1.07465ap+0 : 0xa.5956764b14a98p-8 : inexact-ok
+= log2 tonearest dbl-64 0x1.07465ap+0 : 0xa.5956764b14aap-8 : inexact-ok
+= log2 towardzero dbl-64 0x1.07465ap+0 : 0xa.5956764b14a98p-8 : inexact-ok
+= log2 upward dbl-64 0x1.07465ap+0 : 0xa.5956764b14aap-8 : inexact-ok
+= log2 downward ldbl-96-intel 0x1.07465ap+0L : 0xa.5956764b14a9d7dp-8L : inexact-ok
+= log2 tonearest ldbl-96-intel 0x1.07465ap+0L : 0xa.5956764b14a9d7ep-8L : inexact-ok
+= log2 towardzero ldbl-96-intel 0x1.07465ap+0L : 0xa.5956764b14a9d7dp-8L : inexact-ok
+= log2 upward ldbl-96-intel 0x1.07465ap+0L : 0xa.5956764b14a9d7ep-8L : inexact-ok
+= log2 downward ldbl-96-m68k 0x1.07465ap+0L : 0xa.5956764b14a9d7dp-8L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0x1.07465ap+0L : 0xa.5956764b14a9d7ep-8L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0x1.07465ap+0L : 0xa.5956764b14a9d7dp-8L : inexact-ok
+= log2 upward ldbl-96-m68k 0x1.07465ap+0L : 0xa.5956764b14a9d7ep-8L : inexact-ok
+= log2 downward ldbl-128 0x1.07465ap+0L : 0xa.5956764b14a9d7da921863b84ba8p-8L : inexact-ok
+= log2 tonearest ldbl-128 0x1.07465ap+0L : 0xa.5956764b14a9d7da921863b84bbp-8L : inexact-ok
+= log2 towardzero ldbl-128 0x1.07465ap+0L : 0xa.5956764b14a9d7da921863b84ba8p-8L : inexact-ok
+= log2 upward ldbl-128 0x1.07465ap+0L : 0xa.5956764b14a9d7da921863b84bbp-8L : inexact-ok
+= log2 downward ldbl-128ibm 0x1.07465ap+0L : 0xa.5956764b14a9d7da921863b848p-8L : inexact-ok
+= log2 tonearest ldbl-128ibm 0x1.07465ap+0L : 0xa.5956764b14a9d7da921863b84cp-8L : inexact-ok
+= log2 towardzero ldbl-128ibm 0x1.07465ap+0L : 0xa.5956764b14a9d7da921863b848p-8L : inexact-ok
+= log2 upward ldbl-128ibm 0x1.07465ap+0L : 0xa.5956764b14a9d7da921863b84cp-8L : inexact-ok
+= log2 downward dbl-64 0x1.07465bdc7e41cp+0 : 0xa.595912bb7fffp-8 : inexact-ok
+= log2 tonearest dbl-64 0x1.07465bdc7e41cp+0 : 0xa.595912bb7fffp-8 : inexact-ok
+= log2 towardzero dbl-64 0x1.07465bdc7e41cp+0 : 0xa.595912bb7fffp-8 : inexact-ok
+= log2 upward dbl-64 0x1.07465bdc7e41cp+0 : 0xa.595912bb7fff8p-8 : inexact-ok
+= log2 downward ldbl-96-intel 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0bap-8L : inexact-ok
+= log2 tonearest ldbl-96-intel 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0bap-8L : inexact-ok
+= log2 towardzero ldbl-96-intel 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0bap-8L : inexact-ok
+= log2 upward ldbl-96-intel 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0bbp-8L : inexact-ok
+= log2 downward ldbl-96-m68k 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0bap-8L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0bap-8L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0bap-8L : inexact-ok
+= log2 upward ldbl-96-m68k 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0bbp-8L : inexact-ok
+= log2 downward ldbl-128 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0ba2d9d999b5e91p-8L : inexact-ok
+= log2 tonearest ldbl-128 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0ba2d9d999b5e918p-8L : inexact-ok
+= log2 towardzero ldbl-128 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0ba2d9d999b5e91p-8L : inexact-ok
+= log2 upward ldbl-128 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0ba2d9d999b5e918p-8L : inexact-ok
+= log2 downward ldbl-128ibm 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0ba2d9d999b5e8p-8L : inexact-ok
+= log2 tonearest ldbl-128ibm 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0ba2d9d999b5e8p-8L : inexact-ok
+= log2 towardzero ldbl-128ibm 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0ba2d9d999b5e8p-8L : inexact-ok
+= log2 upward ldbl-128ibm 0x1.07465bdc7e41cp+0L : 0xa.595912bb7fff0ba2d9d999b5ecp-8L : inexact-ok
+= log2 downward dbl-64 0x1.07465bdc7e41bp+0 : 0xa.595912bb7fe88p-8 : inexact-ok
+= log2 tonearest dbl-64 0x1.07465bdc7e41bp+0 : 0xa.595912bb7fe88p-8 : inexact-ok
+= log2 towardzero dbl-64 0x1.07465bdc7e41bp+0 : 0xa.595912bb7fe88p-8 : inexact-ok
+= log2 upward dbl-64 0x1.07465bdc7e41bp+0 : 0xa.595912bb7fe9p-8 : inexact-ok
+= log2 downward ldbl-96-intel 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899ap-8L : inexact-ok
+= log2 tonearest ldbl-96-intel 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899ap-8L : inexact-ok
+= log2 towardzero ldbl-96-intel 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899ap-8L : inexact-ok
+= log2 upward ldbl-96-intel 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899bp-8L : inexact-ok
+= log2 downward ldbl-96-m68k 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899ap-8L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899ap-8L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899ap-8L : inexact-ok
+= log2 upward ldbl-96-m68k 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899bp-8L : inexact-ok
+= log2 downward ldbl-128 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899a4a195bab6756p-8L : inexact-ok
+= log2 tonearest ldbl-128 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899a4a195bab67568p-8L : inexact-ok
+= log2 towardzero ldbl-128 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899a4a195bab6756p-8L : inexact-ok
+= log2 upward ldbl-128 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899a4a195bab67568p-8L : inexact-ok
+= log2 downward ldbl-128ibm 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899a4a195bab674p-8L : inexact-ok
+= log2 tonearest ldbl-128ibm 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899a4a195bab674p-8L : inexact-ok
+= log2 towardzero ldbl-128ibm 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899a4a195bab674p-8L : inexact-ok
+= log2 upward ldbl-128ibm 0x1.07465bdc7e41bp+0L : 0xa.595912bb7fe899a4a195bab678p-8L : inexact-ok
+= log2 downward ldbl-96-intel 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefddcp-8L : inexact-ok
+= log2 tonearest ldbl-96-intel 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefdddp-8L : inexact-ok
+= log2 towardzero ldbl-96-intel 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefddcp-8L : inexact-ok
+= log2 upward ldbl-96-intel 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefdddp-8L : inexact-ok
+= log2 downward ldbl-96-m68k 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefddcp-8L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefdddp-8L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefddcp-8L : inexact-ok
+= log2 upward ldbl-96-m68k 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefdddp-8L : inexact-ok
+= log2 downward ldbl-128 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefddcbce0cb3878e3p-8L : inexact-ok
+= log2 tonearest ldbl-128 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefddcbce0cb3878e3p-8L : inexact-ok
+= log2 towardzero ldbl-128 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefddcbce0cb3878e3p-8L : inexact-ok
+= log2 upward ldbl-128 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefddcbce0cb3878e38p-8L : inexact-ok
+= log2 downward ldbl-128ibm 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefddcbce0cb3878cp-8L : inexact-ok
+= log2 tonearest ldbl-128ibm 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefddcbce0cb3879p-8L : inexact-ok
+= log2 towardzero ldbl-128ibm 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefddcbce0cb3878cp-8L : inexact-ok
+= log2 upward ldbl-128ibm 0x1.07465bdc7e41b52ep+0L : 0xa.595912bb7fefddcbce0cb3879p-8L : inexact-ok
+log2 0xf.4dfb4p-48
+= log2 downward flt-32 0xf.4dfb4p-48f : -0x2.c10694p+4f : inexact-ok
+= log2 tonearest flt-32 0xf.4dfb4p-48f : -0x2.c10694p+4f : inexact-ok
+= log2 towardzero flt-32 0xf.4dfb4p-48f : -0x2.c1069p+4f : inexact-ok
+= log2 upward flt-32 0xf.4dfb4p-48f : -0x2.c1069p+4f : inexact-ok
+= log2 downward dbl-64 0xf.4dfb4p-48 : -0x2.c106931f2bfd2p+4 : inexact-ok
+= log2 tonearest dbl-64 0xf.4dfb4p-48 : -0x2.c106931f2bfdp+4 : inexact-ok
+= log2 towardzero dbl-64 0xf.4dfb4p-48 : -0x2.c106931f2bfdp+4 : inexact-ok
+= log2 upward dbl-64 0xf.4dfb4p-48 : -0x2.c106931f2bfdp+4 : inexact-ok
+= log2 downward ldbl-96-intel 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af8p+4L : inexact-ok
+= log2 tonearest ldbl-96-intel 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af4p+4L : inexact-ok
+= log2 towardzero ldbl-96-intel 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af4p+4L : inexact-ok
+= log2 upward ldbl-96-intel 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af4p+4L : inexact-ok
+= log2 downward ldbl-96-m68k 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af8p+4L : inexact-ok
+= log2 tonearest ldbl-96-m68k 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af4p+4L : inexact-ok
+= log2 towardzero ldbl-96-m68k 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af4p+4L : inexact-ok
+= log2 upward ldbl-96-m68k 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af4p+4L : inexact-ok
+= log2 downward ldbl-128 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af427fc474396b2p+4L : inexact-ok
+= log2 tonearest ldbl-128 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af427fc474396bp+4L : inexact-ok
+= log2 towardzero ldbl-128 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af427fc474396bp+4L : inexact-ok
+= log2 upward ldbl-128 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af427fc474396bp+4L : inexact-ok
+= log2 downward ldbl-128ibm 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af427fc474397p+4L : inexact-ok
+= log2 tonearest ldbl-128ibm 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af427fc474397p+4L : inexact-ok
+= log2 towardzero ldbl-128ibm 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af427fc474396p+4L : inexact-ok
+= log2 upward ldbl-128ibm 0xf.4dfb4p-48L : -0x2.c106931f2bfd0af427fc474396p+4L : inexact-ok
 log2 min
 = log2 downward flt-32 0x4p-128f : -0x7.ep+4f : inexact-ok
 = log2 tonearest flt-32 0x4p-128f : -0x7.ep+4f : inexact-ok