Add more tests of tan.

This patch adds some randomly-generated tests of tan that are observed
to increase ulps on x86_64.

Tested for x86_64 and x86 and ulps updated accordingly.

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

5 files changed, 67 insertions, 8 deletions

diff --git a/ChangeLog b/ChangeLog
index 99cd7a69fe..815b1cc7ed 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,5 +1,10 @@
 2015-05-01  Joseph Myers  <joseph@codesourcery.com>
 
+	* math/auto-libm-test-in: Add more tests of tan.
+	* math/auto-libm-test-out: Regenerated.
+	* sysdeps/i386/fpu/libm-test-ulps: Update.
+	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
+
 	* math/auto-libm-test-in: Add more tests of cos, sin and sincos.
 	* math/auto-libm-test-out: Regenerated.
 	* sysdeps/i386/fpu/libm-test-ulps: Update.
diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in
index b8f71ee62d..249aa9de20 100644
--- a/math/auto-libm-test-in
+++ b/math/auto-libm-test-in
@@ -2408,6 +2408,8 @@ tan 7
 tan 8
 tan 9
 tan 10
+tan -0x1.062a48p+0
+tan -0x1.4f69cp+0
 
 tanh 0
 tanh -0
diff --git a/math/auto-libm-test-out b/math/auto-libm-test-out
index 10a303442b..139cacc3ca 100644
--- a/math/auto-libm-test-out
+++ b/math/auto-libm-test-out
@@ -183731,6 +183731,56 @@ tan 10
 = tan tonearest ldbl-128ibm 0xap+0L : 0xa.5faf9a5f1bc12efead12fa489p-4L : inexact-ok
 = tan towardzero ldbl-128ibm 0xap+0L : 0xa.5faf9a5f1bc12efead12fa488cp-4L : inexact-ok
 = tan upward ldbl-128ibm 0xap+0L : 0xa.5faf9a5f1bc12efead12fa489p-4L : inexact-ok
+tan -0x1.062a48p+0
+= tan downward flt-32 -0x1.062a48p+0f : -0x1.a4a484p+0f : inexact-ok
+= tan tonearest flt-32 -0x1.062a48p+0f : -0x1.a4a482p+0f : inexact-ok
+= tan towardzero flt-32 -0x1.062a48p+0f : -0x1.a4a482p+0f : inexact-ok
+= tan upward flt-32 -0x1.062a48p+0f : -0x1.a4a482p+0f : inexact-ok
+= tan downward dbl-64 -0x1.062a48p+0 : -0x1.a4a482f560f6fp+0 : inexact-ok
+= tan tonearest dbl-64 -0x1.062a48p+0 : -0x1.a4a482f560f6ep+0 : inexact-ok
+= tan towardzero dbl-64 -0x1.062a48p+0 : -0x1.a4a482f560f6ep+0 : inexact-ok
+= tan upward dbl-64 -0x1.062a48p+0 : -0x1.a4a482f560f6ep+0 : inexact-ok
+= tan downward ldbl-96-intel -0x1.062a48p+0L : -0x1.a4a482f560f6e4dp+0L : inexact-ok
+= tan tonearest ldbl-96-intel -0x1.062a48p+0L : -0x1.a4a482f560f6e4cep+0L : inexact-ok
+= tan towardzero ldbl-96-intel -0x1.062a48p+0L : -0x1.a4a482f560f6e4cep+0L : inexact-ok
+= tan upward ldbl-96-intel -0x1.062a48p+0L : -0x1.a4a482f560f6e4cep+0L : inexact-ok
+= tan downward ldbl-96-m68k -0x1.062a48p+0L : -0x1.a4a482f560f6e4dp+0L : inexact-ok
+= tan tonearest ldbl-96-m68k -0x1.062a48p+0L : -0x1.a4a482f560f6e4cep+0L : inexact-ok
+= tan towardzero ldbl-96-m68k -0x1.062a48p+0L : -0x1.a4a482f560f6e4cep+0L : inexact-ok
+= tan upward ldbl-96-m68k -0x1.062a48p+0L : -0x1.a4a482f560f6e4cep+0L : inexact-ok
+= tan downward ldbl-128 -0x1.062a48p+0L : -0x1.a4a482f560f6e4ceb9d6e73567d5p+0L : inexact-ok
+= tan tonearest ldbl-128 -0x1.062a48p+0L : -0x1.a4a482f560f6e4ceb9d6e73567d4p+0L : inexact-ok
+= tan towardzero ldbl-128 -0x1.062a48p+0L : -0x1.a4a482f560f6e4ceb9d6e73567d4p+0L : inexact-ok
+= tan upward ldbl-128 -0x1.062a48p+0L : -0x1.a4a482f560f6e4ceb9d6e73567d4p+0L : inexact-ok
+= tan downward ldbl-128ibm -0x1.062a48p+0L : -0x1.a4a482f560f6e4ceb9d6e73568p+0L : inexact-ok
+= tan tonearest ldbl-128ibm -0x1.062a48p+0L : -0x1.a4a482f560f6e4ceb9d6e73568p+0L : inexact-ok
+= tan towardzero ldbl-128ibm -0x1.062a48p+0L : -0x1.a4a482f560f6e4ceb9d6e735678p+0L : inexact-ok
+= tan upward ldbl-128ibm -0x1.062a48p+0L : -0x1.a4a482f560f6e4ceb9d6e735678p+0L : inexact-ok
+tan -0x1.4f69cp+0
+= tan downward flt-32 -0x1.4f69cp+0f : -0x3.c00d44p+0f : inexact-ok
+= tan tonearest flt-32 -0x1.4f69cp+0f : -0x3.c00d44p+0f : inexact-ok
+= tan towardzero flt-32 -0x1.4f69cp+0f : -0x3.c00d4p+0f : inexact-ok
+= tan upward flt-32 -0x1.4f69cp+0f : -0x3.c00d4p+0f : inexact-ok
+= tan downward dbl-64 -0x1.4f69cp+0 : -0x3.c00d4280aa7cp+0 : inexact-ok
+= tan tonearest dbl-64 -0x1.4f69cp+0 : -0x3.c00d4280aa7bep+0 : inexact-ok
+= tan towardzero dbl-64 -0x1.4f69cp+0 : -0x3.c00d4280aa7bep+0 : inexact-ok
+= tan upward dbl-64 -0x1.4f69cp+0 : -0x3.c00d4280aa7bep+0 : inexact-ok
+= tan downward ldbl-96-intel -0x1.4f69cp+0L : -0x3.c00d4280aa7bede8p+0L : inexact-ok
+= tan tonearest ldbl-96-intel -0x1.4f69cp+0L : -0x3.c00d4280aa7bede8p+0L : inexact-ok
+= tan towardzero ldbl-96-intel -0x1.4f69cp+0L : -0x3.c00d4280aa7bede4p+0L : inexact-ok
+= tan upward ldbl-96-intel -0x1.4f69cp+0L : -0x3.c00d4280aa7bede4p+0L : inexact-ok
+= tan downward ldbl-96-m68k -0x1.4f69cp+0L : -0x3.c00d4280aa7bede8p+0L : inexact-ok
+= tan tonearest ldbl-96-m68k -0x1.4f69cp+0L : -0x3.c00d4280aa7bede8p+0L : inexact-ok
+= tan towardzero ldbl-96-m68k -0x1.4f69cp+0L : -0x3.c00d4280aa7bede4p+0L : inexact-ok
+= tan upward ldbl-96-m68k -0x1.4f69cp+0L : -0x3.c00d4280aa7bede4p+0L : inexact-ok
+= tan downward ldbl-128 -0x1.4f69cp+0L : -0x3.c00d4280aa7bede62d35d88620c2p+0L : inexact-ok
+= tan tonearest ldbl-128 -0x1.4f69cp+0L : -0x3.c00d4280aa7bede62d35d88620cp+0L : inexact-ok
+= tan towardzero ldbl-128 -0x1.4f69cp+0L : -0x3.c00d4280aa7bede62d35d88620cp+0L : inexact-ok
+= tan upward ldbl-128 -0x1.4f69cp+0L : -0x3.c00d4280aa7bede62d35d88620cp+0L : inexact-ok
+= tan downward ldbl-128ibm -0x1.4f69cp+0L : -0x3.c00d4280aa7bede62d35d88621p+0L : inexact-ok
+= tan tonearest ldbl-128ibm -0x1.4f69cp+0L : -0x3.c00d4280aa7bede62d35d88621p+0L : inexact-ok
+= tan towardzero ldbl-128ibm -0x1.4f69cp+0L : -0x3.c00d4280aa7bede62d35d8862p+0L : inexact-ok
+= tan upward ldbl-128ibm -0x1.4f69cp+0L : -0x3.c00d4280aa7bede62d35d8862p+0L : inexact-ok
 tanh 0
 = tanh downward flt-32 0x0p+0f : 0x0p+0f : inexact-ok
 = tanh tonearest flt-32 0x0p+0f : 0x0p+0f : inexact-ok
diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps
index bb894e59ca..2286c8817c 100644
--- a/sysdeps/i386/fpu/libm-test-ulps
+++ b/sysdeps/i386/fpu/libm-test-ulps
@@ -1810,16 +1810,16 @@ double: 1
 float: 1
 idouble: 1
 ifloat: 1
-ildouble: 1
-ldouble: 1
+ildouble: 2
+ldouble: 2
 
 Function: "tan_towardzero":
 double: 1
 float: 1
 idouble: 1
 ifloat: 1
-ildouble: 1
-ldouble: 1
+ildouble: 2
+ldouble: 2
 
 Function: "tan_upward":
 double: 1
diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps
index 7fd3a3c591..0cb22a42fe 100644
--- a/sysdeps/x86_64/fpu/libm-test-ulps
+++ b/sysdeps/x86_64/fpu/libm-test-ulps
@@ -1952,6 +1952,8 @@ ildouble: 5
 ldouble: 5
 
 Function: "tan":
+float: 1
+ifloat: 1
 ildouble: 1
 ldouble: 1
 
@@ -1960,16 +1962,16 @@ double: 1
 float: 2
 idouble: 1
 ifloat: 2
-ildouble: 1
-ldouble: 1
+ildouble: 2
+ldouble: 2
 
 Function: "tan_towardzero":
 double: 1
 float: 1
 idouble: 1
 ifloat: 1
-ildouble: 1
-ldouble: 1
+ildouble: 2
+ldouble: 2
 
 Function: "tan_upward":
 double: 1