Add more libm-test coverage of [a-c]* real functions.

Various libm functions have inadequate test coverage in libm-test.inc
/ auto-libm-test-in - failing to cover all the usual special cases
(infinities, NaNs, zero, large and small finite values, subnormals) as
well as a reasonable range of ordinary inputs and, where appropriate,
inputs close to the thresholds for underflow and overflow.

This patch improves test coverage for real functions [a-c]* (with the
expectation of adding more coverage for other functions later).

Tested x86_64 and x86 and ulps updated accordingly (and eight glibc
bugs and one C11 DR filed for issues found in the process).

	* math/auto-libm-test-in: Add more tests of acos, acosh, asin,
	asinh, atan, atan2, atanh, cbrt, cos and cosh.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (acosh_test_data): Add more tests.
	(atanh_test_data): Likewise.
	(ceil_test_data): Likewise.
	(copysign_test_data): Likewise.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.

1 files changed, 477 insertions, 6 deletions

diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps
index 50bbe77..dc53d94 100644
--- a/sysdeps/i386/fpu/libm-test-ulps
+++ b/sysdeps/i386/fpu/libm-test-ulps
@@ -121,9 +121,28 @@ ildouble: 1
 ldouble: 1
 
 # asin_downward
+Test "asin_downward (-0x4p-1024)":
+double: 1
+idouble: 1
+Test "asin_downward (-0x4p-1076)":
+double: 1
+idouble: 1
+Test "asin_downward (-0x4p-128)":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+Test "asin_downward (-0x8p-152)":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
 Test "asin_downward (-0x8p-4)":
 ildouble: 1
 ldouble: 1
+Test "asin_downward (-0x8p-972)":
+double: 1
+idouble: 1
 Test "asin_downward (-0xf.fffffff8p-4)":
 ildouble: 1
 ldouble: 1
@@ -159,6 +178,44 @@ double: 1
 float: 1
 idouble: 1
 ifloat: 1
+Test "asin_towardzero (-0x2p-16384)":
+ildouble: 1
+ldouble: 1
+Test "asin_towardzero (-0x4p-1024)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "asin_towardzero (-0x4p-1076)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "asin_towardzero (-0x4p-128)":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+Test "asin_towardzero (-0x4p-16384)":
+ildouble: 1
+ldouble: 1
+Test "asin_towardzero (-0x8p-152)":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+Test "asin_towardzero (-0x8p-16448)":
+ildouble: 1
+ldouble: 1
+Test "asin_towardzero (-0x8p-972)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
 Test "asin_towardzero (-1.0)":
 float: 1
 ifloat: 1
@@ -181,6 +238,34 @@ double: 1
 float: 1
 idouble: 1
 ifloat: 1
+Test "asin_upward (-0x2p-16384)":
+ildouble: 1
+ldouble: 1
+Test "asin_upward (-0x4p-1024)":
+ildouble: 1
+ldouble: 1
+Test "asin_upward (-0x4p-1076)":
+ildouble: 1
+ldouble: 1
+Test "asin_upward (-0x4p-128)":
+float: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+Test "asin_upward (-0x4p-16384)":
+ildouble: 1
+ldouble: 1
+Test "asin_upward (-0x8p-152)":
+float: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+Test "asin_upward (-0x8p-16448)":
+ildouble: 1
+ldouble: 1
+Test "asin_upward (-0x8p-972)":
+ildouble: 1
+ldouble: 1
 Test "asin_upward (-0xf.fffffff8p-4)":
 ildouble: 1
 ldouble: 1
@@ -201,13 +286,58 @@ float: 1
 ifloat: 1
 ildouble: 1
 ldouble: 1
+Test "asin_upward (0x2p-16384)":
+ildouble: 1
+ldouble: 1
+Test "asin_upward (0x4p-1024)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "asin_upward (0x4p-1076)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "asin_upward (0x4p-128)":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+Test "asin_upward (0x4p-16384)":
+ildouble: 1
+ldouble: 1
+Test "asin_upward (0x8p-152)":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+Test "asin_upward (0x8p-16448)":
+ildouble: 1
+ldouble: 1
 Test "asin_upward (0x8p-4)":
 ildouble: 1
 ldouble: 1
+Test "asin_upward (0x8p-972)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
 Test "asin_upward (1.0)":
 double: 1
 idouble: 1
 
+# asinh
+Test "asinh (0x1p+100)":
+ldouble: 1
+Test "asinh (0xf.424p+16)":
+ildouble: 1
+ldouble: 1
+
 # atan2
 Test "atan2 (-0x1.effe81f852716ffep-8, -0x7.57d1de0e5124664p-12)":
 ildouble: 1
@@ -217,9 +347,18 @@ ildouble: 1
 ldouble: 1
 
 # atanh
+Test "atanh (-0xcp-4)":
+ildouble: 2
+ldouble: 1
 Test "atanh (0.75)":
 ildouble: 2
 ldouble: 1
+Test "atanh (0x4p-12)":
+ildouble: 1
+Test "atanh (0x4p-4)":
+ldouble: 1
+Test "atanh (0x8p-8)":
+ildouble: 1
 Test "atanh (0xcp-4)":
 ildouble: 2
 ldouble: 1
@@ -4206,15 +4345,26 @@ ldouble: 1
 Test "cbrt (-0x4.18937p-12)":
 ildouble: 1
 ldouble: 1
+Test "cbrt (-0xf.fffffffffffffffp+16380)":
+ildouble: 1
+ldouble: 1
 Test "cbrt (-27.0)":
 ildouble: 1
 ldouble: 1
 Test "cbrt (0.75)":
 ildouble: 1
 ldouble: 1
+Test "cbrt (0x1.86ap+16)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
 Test "cbrt (0xcp-4)":
 ildouble: 1
 ldouble: 1
+Test "cbrt (0xf.fffffffffffffffp+16380)":
+ildouble: 1
+ldouble: 1
 
 # ccos
 Test "Real part of: ccos (-0.75 + 710.5 i)":
@@ -6274,6 +6424,48 @@ idouble: 2
 ifloat: 1
 
 # cos_downward
+Test "cos_downward (-0x2p-16384)":
+ildouble: 1
+ldouble: 1
+Test "cos_downward (-0x4p-1024)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_downward (-0x4p-1076)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_downward (-0x4p-128)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_downward (-0x4p-16384)":
+ildouble: 1
+ldouble: 1
+Test "cos_downward (-0x8p-152)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_downward (-0x8p-16448)":
+ildouble: 1
+ldouble: 1
+Test "cos_downward (-0x8p-972)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_downward (-0xf.ffffffffffff8p+1020)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_downward (-0xf.fffffp+124)":
+double: 1
+idouble: 1
 Test "cos_downward (0x1.000000cf4a2a2p+0)":
 double: 1
 idouble: 1
@@ -6367,6 +6559,9 @@ idouble: 1
 Test "cos_downward (0x2p+0)":
 ildouble: 1
 ldouble: 1
+Test "cos_downward (0x2p-16384)":
+ildouble: 1
+ldouble: 1
 Test "cos_downward (0x3p+0)":
 double: 1
 idouble: 1
@@ -6378,12 +6573,43 @@ ldouble: 1
 Test "cos_downward (0x4p+48)":
 double: 1
 idouble: 1
+Test "cos_downward (0x4p-1024)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_downward (0x4p-1076)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_downward (0x4p-128)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_downward (0x4p-16384)":
+ildouble: 1
+ldouble: 1
 Test "cos_downward (0x8p+0)":
 ildouble: 2
 ldouble: 2
 Test "cos_downward (0x8p+1020)":
 ildouble: 1
 ldouble: 1
+Test "cos_downward (0x8p-152)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_downward (0x8p-16448)":
+ildouble: 1
+ldouble: 1
+Test "cos_downward (0x8p-972)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
 Test "cos_downward (0x9p+0)":
 double: 1
 idouble: 1
@@ -6416,6 +6642,9 @@ double: 1
 idouble: 1
 ildouble: 1
 ldouble: 1
+Test "cos_downward (0xf.fffffffffffffffp+16380)":
+ildouble: 1
+ldouble: 1
 Test "cos_downward (0xf.fffffp+124)":
 double: 1
 idouble: 1
@@ -6457,6 +6686,43 @@ ildouble: 1
 ldouble: 1
 
 # cos_towardzero
+Test "cos_towardzero (-0x2p-16384)":
+ildouble: 1
+ldouble: 1
+Test "cos_towardzero (-0x4p-1024)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_towardzero (-0x4p-1076)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_towardzero (-0x4p-128)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_towardzero (-0x4p-16384)":
+ildouble: 1
+ldouble: 1
+Test "cos_towardzero (-0x8p-152)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_towardzero (-0x8p-16448)":
+ildouble: 1
+ldouble: 1
+Test "cos_towardzero (-0x8p-972)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_towardzero (-0xf.fffffp+124)":
+double: 1
+idouble: 1
 Test "cos_towardzero (0x1.000000cf4a2a2p+0)":
 double: 1
 idouble: 1
@@ -6516,12 +6782,33 @@ idouble: 1
 Test "cos_towardzero (0x2p+0)":
 double: 1
 idouble: 1
+Test "cos_towardzero (0x2p-16384)":
+ildouble: 1
+ldouble: 1
 Test "cos_towardzero (0x4p+0)":
 double: 1
 idouble: 1
 Test "cos_towardzero (0x4p+48)":
 double: 1
 idouble: 1
+Test "cos_towardzero (0x4p-1024)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_towardzero (0x4p-1076)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_towardzero (0x4p-128)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_towardzero (0x4p-16384)":
+ildouble: 1
+ldouble: 1
 Test "cos_towardzero (0x8p+0)":
 double: 1
 idouble: 1
@@ -6530,6 +6817,19 @@ ldouble: 1
 Test "cos_towardzero (0x8p+1020)":
 double: 1
 idouble: 1
+Test "cos_towardzero (0x8p-152)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "cos_towardzero (0x8p-16448)":
+ildouble: 1
+ldouble: 1
+Test "cos_towardzero (0x8p-972)":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
 Test "cos_towardzero (0xa.217bap+12)":
 ildouble: 1
 ldouble: 1
@@ -6584,6 +6884,12 @@ ldouble: 1
 Test "cos_upward (-0x2p+64)":
 double: 1
 idouble: 1
+Test "cos_upward (-0xf.ffffffffffff8p+1020)":
+ildouble: 1
+ldouble: 1
+Test "cos_upward (-0xf.fffffffffffffffp+16380)":
+ildouble: 1
+ldouble: 1
 Test "cos_upward (0x1.000004p+0)":
 double: 1
 idouble: 1
@@ -6714,6 +7020,9 @@ idouble: 1
 Test "cos_upward (0xf.ffffffffffff8p+1020)":
 ildouble: 1
 ldouble: 1
+Test "cos_upward (0xf.fffffffffffffffp+16380)":
+ildouble: 2
+ldouble: 2
 Test "cos_upward (1)":
 float: 1
 ifloat: 1
@@ -6744,21 +7053,72 @@ ildouble: 1
 ldouble: 1
 
 # cosh
+Test "cosh (-0x1p+0)":
+ldouble: 1
+Test "cosh (-0x2.c5d374p+12)":
+ldouble: 2
+Test "cosh (-0x2.c5d37700c6bbp+12)":
+ldouble: 1
 Test "cosh (-0x2.c5e3acp+8)":
 ildouble: 1
 Test "cosh (-0x2.c5e3bp+8)":
 ildouble: 1
+Test "cosh (-0x2.c679d1f73f0fap+8)":
+ildouble: 1
+Test "cosh (-0x2.c679d1f73f0fb624p+8)":
+ildouble: 1
+Test "cosh (-0x2.c679d1f73f0fb628p+8)":
+ildouble: 1
+Test "cosh (-0x2.c679d1f73f0fcp+8)":
+ildouble: 1
+Test "cosh (-0x2.c679dp+8)":
+ildouble: 1
 Test "cosh (0x1.6p+4)":
 ldouble: 1
+Test "cosh (0x2.c5d374p+12)":
+ldouble: 2
+Test "cosh (0x2.c5d37700c6bbp+12)":
+ldouble: 1
 
 # cosh_downward
+Test "cosh_downward (-0x1p+0)":
+ldouble: 1
+Test "cosh_downward (-0x2.c5d374p+12)":
+ldouble: 1
+Test "cosh_downward (-0x2.c5d37700c6bb03a4p+12)":
+ldouble: 3
+Test "cosh_downward (-0x2.c5d37700c6bbp+12)":
+ldouble: 2
 Test "cosh_downward (-0x2.c5e3acd2922a6p+8)":
 ildouble: 1
 Test "cosh_downward (-0x2.c5e3bp+8)":
 ildouble: 1
+Test "cosh_downward (-0x2.c679d1f73f0fap+8)":
+ildouble: 2
+Test "cosh_downward (-0x2.c679d1f73f0fcp+8)":
+ildouble: 1
+Test "cosh_downward (-0x2.c679dp+8)":
+double: 1
+ildouble: 1
+Test "cosh_downward (-0x5.96a7ep+4)":
+double: 1
+ildouble: 2
+ldouble: 1
 Test "cosh_downward (0x1.6p+4)":
 ildouble: 1
 ldouble: 2
+Test "cosh_downward (0x2.c5d374p+12)":
+ldouble: 1
+Test "cosh_downward (0x2.c5d37700c6bb03a4p+12)":
+ldouble: 3
+Test "cosh_downward (0x2.c5d37700c6bbp+12)":
+ldouble: 2
+Test "cosh_downward (0x2.c679dp+8)":
+double: 1
+Test "cosh_downward (0x5.96a7ep+4)":
+double: 1
+ildouble: 1
+ldouble: 1
 Test "cosh_downward (22)":
 double: 1
 float: 1
@@ -6780,21 +7140,68 @@ ildouble: 1
 ldouble: 1
 
 # cosh_tonearest
+Test "cosh_tonearest (-0x1p+0)":
+ldouble: 1
+Test "cosh_tonearest (-0x2.c5d374p+12)":
+ldouble: 2
+Test "cosh_tonearest (-0x2.c5d37700c6bbp+12)":
+ldouble: 1
 Test "cosh_tonearest (-0x2.c5e3acp+8)":
 ildouble: 1
 Test "cosh_tonearest (-0x2.c5e3bp+8)":
 ildouble: 1
+Test "cosh_tonearest (-0x2.c679d1f73f0fap+8)":
+ildouble: 1
+Test "cosh_tonearest (-0x2.c679d1f73f0fb624p+8)":
+ildouble: 1
+Test "cosh_tonearest (-0x2.c679d1f73f0fb628p+8)":
+ildouble: 1
+Test "cosh_tonearest (-0x2.c679d1f73f0fcp+8)":
+ildouble: 1
+Test "cosh_tonearest (-0x2.c679dp+8)":
+ildouble: 1
 Test "cosh_tonearest (0x1.6p+4)":
 ldouble: 1
+Test "cosh_tonearest (0x2.c5d374p+12)":
+ldouble: 2
+Test "cosh_tonearest (0x2.c5d37700c6bbp+12)":
+ldouble: 1
 Test "cosh_tonearest (22)":
 ldouble: 1
 
 # cosh_towardzero
+Test "cosh_towardzero (-0x1p+0)":
+ildouble: 1
+ldouble: 1
+Test "cosh_towardzero (-0x2.c5d374p+12)":
+ldouble: 1
+Test "cosh_towardzero (-0x2.c5d37700c6bb03a4p+12)":
+ldouble: 3
+Test "cosh_towardzero (-0x2.c5d37700c6bbp+12)":
+ldouble: 2
 Test "cosh_towardzero (-0x2.c5e3acd2922a6p+8)":
 ildouble: 1
+Test "cosh_towardzero (-0x2.c679dp+8)":
+double: 1
+ildouble: 1
+Test "cosh_towardzero (-0x5.96a7ep+4)":
+double: 1
+ldouble: 1
 Test "cosh_towardzero (0x1.6p+4)":
 ildouble: 1
 ldouble: 2
+Test "cosh_towardzero (0x2.c5d374p+12)":
+ldouble: 1
+Test "cosh_towardzero (0x2.c5d37700c6bb03a4p+12)":
+ldouble: 3
+Test "cosh_towardzero (0x2.c5d37700c6bbp+12)":
+ldouble: 2
+Test "cosh_towardzero (0x2.c679dp+8)":
+double: 1
+Test "cosh_towardzero (0x5.96a7ep+4)":
+double: 1
+ildouble: 1
+ldouble: 1
 Test "cosh_towardzero (22)":
 double: 1
 float: 1
@@ -6816,6 +7223,12 @@ ildouble: 1
 ldouble: 1
 
 # cosh_upward
+Test "cosh_upward (-0x2.c5d374p+12)":
+ldouble: 2
+Test "cosh_upward (-0x2.c5d37700c6bb03a4p+12)":
+ldouble: 3
+Test "cosh_upward (-0x2.c5d37700c6bbp+12)":
+ldouble: 3
 Test "cosh_upward (-0x2.c5e3acd2922a6p+8)":
 double: 1
 ildouble: 1
@@ -6824,6 +7237,36 @@ Test "cosh_upward (-0x2.c5e3acp+8)":
 ildouble: 1
 Test "cosh_upward (-0x2.c5e3bp+8)":
 ildouble: 1
+Test "cosh_upward (-0x2.c679d1f73f0fap+8)":
+double: 1
+ildouble: 1
+Test "cosh_upward (-0x2.c679d1f73f0fcp+8)":
+ildouble: 1
+Test "cosh_upward (-0x2p-16384)":
+ildouble: 1
+Test "cosh_upward (-0x4p-1024)":
+idouble: 1
+ildouble: 1
+Test "cosh_upward (-0x4p-1076)":
+idouble: 1
+ildouble: 1
+Test "cosh_upward (-0x4p-128)":
+idouble: 1
+ifloat: 1
+ildouble: 1
+Test "cosh_upward (-0x4p-16384)":
+ildouble: 1
+Test "cosh_upward (-0x5.96a7ep+4)":
+ildouble: 1
+Test "cosh_upward (-0x8p-152)":
+idouble: 1
+ifloat: 1
+ildouble: 1
+Test "cosh_upward (-0x8p-16448)":
+ildouble: 1
+Test "cosh_upward (-0x8p-972)":
+idouble: 1
+ildouble: 1
 Test "cosh_upward (0x1.6p+4)":
 ildouble: 1
 ldouble: 1
@@ -6832,6 +7275,12 @@ ildouble: 2
 ldouble: 1
 Test "cosh_upward (0x1.8p+4)":
 ildouble: 1
+Test "cosh_upward (0x2.c5d374p+12)":
+ldouble: 2
+Test "cosh_upward (0x2.c5d37700c6bb03a4p+12)":
+ldouble: 3
+Test "cosh_upward (0x2.c5d37700c6bbp+12)":
+ldouble: 3
 Test "cosh_upward (0x2.c5e3acd2922a6p+8)":
 double: 1
 ildouble: 2
@@ -6840,6 +7289,21 @@ Test "cosh_upward (0x2.c5e3acp+8)":
 ildouble: 1
 Test "cosh_upward (0x2.c5e3bp+8)":
 ildouble: 1
+Test "cosh_upward (0x2.c679d1f73f0fap+8)":
+double: 1
+ildouble: 1
+Test "cosh_upward (0x2.c679d1f73f0fcp+8)":
+ildouble: 1
+Test "cosh_upward (0x2.c679d4p+8)":
+ildouble: 1
+Test "cosh_upward (0x2.c679dp+8)":
+ildouble: 1
+Test "cosh_upward (0x3.2p+4)":
+ildouble: 1
+Test "cosh_upward (0x5.96a7e8p+4)":
+ildouble: 1
+Test "cosh_upward (0x5.96a7ep+4)":
+ildouble: 1
 Test "cosh_upward (22)":
 ildouble: 2
 ldouble: 1
@@ -13805,6 +14269,10 @@ ifloat: 1
 ildouble: 1
 ldouble: 1
 
+Function: "asinh":
+ildouble: 1
+ldouble: 1
+
 Function: "atan2":
 ildouble: 1
 ldouble: 1
@@ -13894,6 +14362,8 @@ ildouble: 1
 ldouble: 1
 
 Function: "cbrt":
+double: 1
+idouble: 1
 ildouble: 1
 ldouble: 1
 
@@ -14011,19 +14481,19 @@ ldouble: 2
 
 Function: "cosh":
 ildouble: 1
-ldouble: 1
+ldouble: 2
 
 Function: "cosh_downward":
 double: 1
 float: 1
 idouble: 1
 ifloat: 1
-ildouble: 1
-ldouble: 2
+ildouble: 2
+ldouble: 3
 
 Function: "cosh_tonearest":
 ildouble: 1
-ldouble: 1
+ldouble: 2
 
 Function: "cosh_towardzero":
 double: 1
@@ -14031,13 +14501,14 @@ float: 1
 idouble: 1
 ifloat: 1
 ildouble: 1
-ldouble: 2
+ldouble: 3
 
 Function: "cosh_upward":
 double: 1
 idouble: 1
+ifloat: 1
 ildouble: 2
-ldouble: 1
+ldouble: 3
 
 Function: Real part of "cpow":
 double: 2