Add more random libm-test inputs.

This patch adds more test inputs to various libm functions found
through random generation to have larger ulps errors than previously
listed in libm-test-ulp, on at least one of x86_64 and x86.

Tested for x86_64 and x86.

	* math/auto-libm-test-in: Add more tests of acos, acosh, asin,
	asinh, atan, atan2, atanh, cabs, cbrt, cosh, csqrt, erf, erfc,
	exp, exp2, lgamma, log, log1p, log2, pow, sin, sincos, tan, tanh
	and tgamma.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.

2 files changed, 141 insertions, 105 deletions

diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps
index de53451879..8263717281 100644
--- a/sysdeps/i386/fpu/libm-test-ulps
+++ b/sysdeps/i386/fpu/libm-test-ulps
@@ -2,6 +2,8 @@
 
 # Maximal error of functions:
 Function: "acos":
+double: 1
+idouble: 1
 ildouble: 1
 ldouble: 1
 
@@ -14,10 +16,14 @@ ildouble: 2
 ldouble: 2
 
 Function: "acos_upward":
+double: 1
+idouble: 1
 ildouble: 2
 ldouble: 2
 
 Function: "acosh":
+double: 1
+idouble: 1
 ildouble: 4
 ldouble: 2
 
@@ -34,6 +40,8 @@ ildouble: 6
 ldouble: 4
 
 Function: "acosh_upward":
+double: 1
+idouble: 1
 ildouble: 4
 ldouble: 3
 
@@ -44,10 +52,14 @@ ildouble: 1
 ldouble: 1
 
 Function: "asin_downward":
+double: 1
+idouble: 1
 ildouble: 2
 ldouble: 2
 
 Function: "asin_towardzero":
+double: 1
+idouble: 1
 ildouble: 1
 ldouble: 1
 
@@ -62,18 +74,20 @@ ldouble: 1
 Function: "asinh":
 double: 1
 idouble: 1
-ildouble: 2
-ldouble: 2
+ildouble: 3
+ldouble: 3
 
 Function: "asinh_downward":
 double: 1
 float: 1
+idouble: 1
 ildouble: 5
 ldouble: 5
 
 Function: "asinh_towardzero":
 double: 1
 float: 1
+idouble: 1
 ildouble: 4
 ldouble: 4
 
@@ -83,13 +97,17 @@ float: 1
 idouble: 1
 ifloat: 1
 ildouble: 5
-ldouble: 4
+ldouble: 5
 
 Function: "atan":
+double: 1
+idouble: 1
 ildouble: 1
 ldouble: 1
 
 Function: "atan2":
+double: 1
+idouble: 1
 ildouble: 1
 ldouble: 1
 
@@ -165,12 +183,15 @@ ldouble: 3
 
 Function: "atanh_upward":
 double: 1
+float: 1
 idouble: 1
 ifloat: 1
 ildouble: 5
 ldouble: 5
 
 Function: "cabs":
+double: 1
+idouble: 1
 ildouble: 1
 ldouble: 1
 
@@ -595,8 +616,8 @@ double: 1
 float: 1
 idouble: 1
 ifloat: 1
-ildouble: 2
-ldouble: 2
+ildouble: 3
+ldouble: 3
 
 Function: "cbrt_downward":
 double: 1
@@ -962,6 +983,7 @@ ldouble: 2
 
 Function: "cosh":
 double: 1
+idouble: 1
 ildouble: 2
 ldouble: 2
 
@@ -1230,8 +1252,8 @@ double: 1
 float: 1
 idouble: 1
 ifloat: 1
-ildouble: 3
-ldouble: 3
+ildouble: 4
+ldouble: 4
 
 Function: Real part of "ctan":
 double: 1
@@ -1386,7 +1408,9 @@ ildouble: 1
 ldouble: 1
 
 Function: "erf_upward":
+double: 1
 float: 1
+idouble: 1
 ifloat: 1
 ildouble: 1
 ldouble: 1
@@ -1420,8 +1444,8 @@ double: 2
 float: 2
 idouble: 2
 ifloat: 2
-ildouble: 4
-ldouble: 4
+ildouble: 5
+ldouble: 5
 
 Function: "exp":
 double: 1
@@ -1470,6 +1494,8 @@ ildouble: 1
 ldouble: 1
 
 Function: "exp2_towardzero":
+double: 1
+idouble: 1
 ildouble: 1
 ldouble: 1
 
@@ -1486,12 +1512,14 @@ ldouble: 1
 Function: "exp_towardzero":
 double: 1
 idouble: 1
-ildouble: 1
-ldouble: 1
+ildouble: 2
+ldouble: 2
 
 Function: "exp_upward":
 double: 1
+float: 1
 idouble: 1
+ifloat: 1
 ildouble: 1
 ldouble: 1
 
@@ -1710,6 +1738,8 @@ ildouble: 4
 ldouble: 4
 
 Function: "log":
+double: 1
+idouble: 1
 ildouble: 1
 ldouble: 1
 
@@ -1754,16 +1784,16 @@ double: 1
 float: 1
 idouble: 1
 ifloat: 1
-ildouble: 3
-ldouble: 3
+ildouble: 4
+ldouble: 4
 
 Function: "log1p_towardzero":
 double: 1
 float: 1
 idouble: 1
 ifloat: 1
-ildouble: 3
-ldouble: 3
+ildouble: 4
+ldouble: 4
 
 Function: "log1p_upward":
 double: 1
@@ -1780,6 +1810,8 @@ ildouble: 1
 ldouble: 1
 
 Function: "log2_downward":
+double: 1
+idouble: 1
 ildouble: 1
 ldouble: 1
 
@@ -1884,8 +1916,8 @@ ldouble: 2
 Function: "sin_towardzero":
 double: 1
 idouble: 1
-ildouble: 1
-ldouble: 1
+ildouble: 2
+ldouble: 2
 
 Function: "sin_upward":
 double: 1
@@ -1946,24 +1978,24 @@ ldouble: 5
 Function: "tan":
 float: 1
 ifloat: 1
-ildouble: 1
-ldouble: 1
+ildouble: 2
+ldouble: 2
 
 Function: "tan_downward":
 double: 1
 float: 2
 idouble: 1
 ifloat: 2
-ildouble: 2
-ldouble: 2
+ildouble: 3
+ldouble: 3
 
 Function: "tan_towardzero":
 double: 1
 float: 2
 idouble: 1
 ifloat: 2
-ildouble: 2
-ldouble: 2
+ildouble: 3
+ldouble: 3
 
 Function: "tan_upward":
 double: 1
@@ -1974,8 +2006,10 @@ ildouble: 2
 ldouble: 2
 
 Function: "tanh":
-ildouble: 2
-ldouble: 2
+double: 1
+idouble: 1
+ildouble: 3
+ldouble: 3
 
 Function: "tanh_downward":
 double: 1
@@ -2002,36 +2036,36 @@ ildouble: 5
 ldouble: 4
 
 Function: "tgamma":
-double: 2
+double: 3
 float: 3
-idouble: 2
+idouble: 3
 ifloat: 3
-ildouble: 4
-ldouble: 4
+ildouble: 5
+ldouble: 5
 
 Function: "tgamma_downward":
 double: 3
-float: 3
+float: 4
 idouble: 3
-ifloat: 3
-ildouble: 3
-ldouble: 3
+ifloat: 4
+ildouble: 5
+ldouble: 5
 
 Function: "tgamma_towardzero":
-double: 3
-float: 3
-idouble: 3
-ifloat: 3
-ildouble: 4
-ldouble: 4
+double: 4
+float: 4
+idouble: 4
+ifloat: 4
+ildouble: 5
+ldouble: 5
 
 Function: "tgamma_upward":
-double: 3
+double: 4
 float: 4
-idouble: 3
+idouble: 4
 ifloat: 4
-ildouble: 4
-ldouble: 4
+ildouble: 5
+ldouble: 5
 
 Function: "y0":
 double: 1
diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps
index b5f2680d04..aeb3d492f1 100644
--- a/sysdeps/x86_64/fpu/libm-test-ulps
+++ b/sysdeps/x86_64/fpu/libm-test-ulps
@@ -40,9 +40,9 @@ ildouble: 2
 ldouble: 2
 
 Function: "acosh_downward":
-double: 1
+double: 2
 float: 1
-idouble: 1
+idouble: 2
 ifloat: 1
 ildouble: 4
 ldouble: 4
@@ -57,9 +57,9 @@ ldouble: 4
 
 Function: "acosh_upward":
 double: 2
-float: 1
+float: 2
 idouble: 2
-ifloat: 1
+ifloat: 2
 ildouble: 3
 ldouble: 3
 
@@ -98,8 +98,8 @@ double: 1
 float: 1
 idouble: 1
 ifloat: 1
-ildouble: 2
-ldouble: 2
+ildouble: 3
+ldouble: 3
 
 Function: "asinh_downward":
 double: 3
@@ -122,8 +122,8 @@ double: 3
 float: 3
 idouble: 3
 ifloat: 3
-ildouble: 4
-ldouble: 4
+ildouble: 5
+ldouble: 5
 
 Function: "atan":
 float: 1
@@ -186,9 +186,9 @@ ildouble: 1
 ldouble: 1
 
 Function: "atanh":
-double: 1
+double: 2
 float: 2
-idouble: 1
+idouble: 2
 ifloat: 2
 ildouble: 3
 ldouble: 3
@@ -1280,9 +1280,9 @@ ildouble: 4
 ldouble: 4
 
 Function: Real part of "csqrt_towardzero":
-double: 3
+double: 4
 float: 3
-idouble: 3
+idouble: 4
 ifloat: 3
 ildouble: 4
 ldouble: 4
@@ -1308,8 +1308,8 @@ double: 3
 float: 3
 idouble: 3
 ifloat: 3
-ildouble: 3
-ldouble: 3
+ildouble: 4
+ldouble: 4
 
 Function: Real part of "ctan":
 double: 1
@@ -1480,9 +1480,9 @@ ildouble: 3
 ldouble: 3
 
 Function: "erfc_downward":
-double: 4
+double: 5
 float: 6
-idouble: 4
+idouble: 5
 ifloat: 6
 ildouble: 4
 ldouble: 4
@@ -1496,12 +1496,12 @@ ildouble: 4
 ldouble: 4
 
 Function: "erfc_upward":
-double: 4
+double: 5
 float: 6
-idouble: 4
+idouble: 5
 ifloat: 6
-ildouble: 4
-ldouble: 4
+ildouble: 5
+ldouble: 5
 
 Function: "exp":
 ildouble: 1
@@ -1578,12 +1578,14 @@ ldouble: 1
 Function: "exp_towardzero":
 double: 1
 idouble: 1
-ildouble: 1
-ldouble: 1
+ildouble: 2
+ldouble: 2
 
 Function: "exp_upward":
 double: 1
+float: 1
 idouble: 1
+ifloat: 1
 ildouble: 1
 ldouble: 1
 
@@ -1665,9 +1667,9 @@ ldouble: 6
 
 Function: "gamma_upward":
 double: 4
-float: 3
+float: 4
 idouble: 4
-ifloat: 3
+ifloat: 4
 ildouble: 4
 ldouble: 4
 
@@ -1817,9 +1819,9 @@ ldouble: 6
 
 Function: "lgamma_upward":
 double: 4
-float: 3
+float: 4
 idouble: 4
-ifloat: 3
+ifloat: 4
 ildouble: 4
 ldouble: 4
 
@@ -1874,16 +1876,16 @@ double: 2
 float: 2
 idouble: 2
 ifloat: 2
-ildouble: 3
-ldouble: 3
+ildouble: 4
+ldouble: 4
 
 Function: "log1p_towardzero":
 double: 2
 float: 2
 idouble: 2
 ifloat: 2
-ildouble: 3
-ldouble: 3
+ildouble: 4
+ldouble: 4
 
 Function: "log1p_upward":
 double: 2
@@ -2001,25 +2003,25 @@ ldouble: 2
 
 Function: "pow_downward":
 double: 1
-float: 3
+float: 4
 idouble: 1
-ifloat: 3
+ifloat: 4
 ildouble: 4
 ldouble: 4
 
 Function: "pow_towardzero":
 double: 1
-float: 4
+float: 8
 idouble: 1
-ifloat: 4
+ifloat: 8
 ildouble: 1
 ldouble: 1
 
 Function: "pow_upward":
 double: 1
-float: 4
+float: 8
 idouble: 1
-ifloat: 4
+ifloat: 8
 ildouble: 2
 ldouble: 2
 
@@ -2056,8 +2058,8 @@ ldouble: 2
 Function: "sin_towardzero":
 double: 1
 idouble: 1
-ildouble: 1
-ldouble: 1
+ildouble: 2
+ldouble: 2
 
 Function: "sin_upward":
 double: 1
@@ -2111,10 +2113,10 @@ Function: "sincos_vlen16":
 float: 1
 
 Function: "sincos_vlen2":
-double: 1
+double: 2
 
 Function: "sincos_vlen4":
-double: 1
+double: 2
 float: 1
 
 Function: "sincos_vlen4_avx2":
@@ -2162,24 +2164,24 @@ ldouble: 5
 Function: "tan":
 float: 1
 ifloat: 1
-ildouble: 1
-ldouble: 1
+ildouble: 2
+ldouble: 2
 
 Function: "tan_downward":
 double: 1
 float: 2
 idouble: 1
 ifloat: 2
-ildouble: 2
-ldouble: 2
+ildouble: 3
+ldouble: 3
 
 Function: "tan_towardzero":
 double: 1
 float: 1
 idouble: 1
 ifloat: 1
-ildouble: 2
-ldouble: 2
+ildouble: 3
+ldouble: 3
 
 Function: "tan_upward":
 double: 1
@@ -2194,8 +2196,8 @@ double: 2
 float: 2
 idouble: 2
 ifloat: 2
-ildouble: 2
-ldouble: 2
+ildouble: 3
+ldouble: 3
 
 Function: "tanh_downward":
 double: 3
@@ -2222,36 +2224,36 @@ ildouble: 4
 ldouble: 4
 
 Function: "tgamma":
-double: 4
+double: 5
 float: 5
-idouble: 4
+idouble: 5
 ifloat: 5
-ildouble: 4
-ldouble: 4
+ildouble: 5
+ldouble: 5
 
 Function: "tgamma_downward":
-double: 4
-float: 4
-idouble: 4
-ifloat: 4
-ildouble: 3
-ldouble: 3
+double: 5
+float: 5
+idouble: 5
+ifloat: 5
+ildouble: 5
+ldouble: 5
 
 Function: "tgamma_towardzero":
 double: 5
 float: 5
 idouble: 5
 ifloat: 5
-ildouble: 4
-ldouble: 4
+ildouble: 5
+ldouble: 5
 
 Function: "tgamma_upward":
 double: 5
 float: 5
 idouble: 5
 ifloat: 5
-ildouble: 4
-ldouble: 4
+ildouble: 5
+ldouble: 5
 
 Function: "y0":
 double: 2