Add more tests of atan.

This patch adds some randomly-generated tests of atan 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 atan.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.

2 files changed, 78 insertions, 0 deletions

diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in
index 9cf1f58..0fa1f97 100644
--- a/math/auto-libm-test-in
+++ b/math/auto-libm-test-in
@@ -242,6 +242,9 @@ atan 0x1p-600
 atan 0x1p-10000
 atan -0x3.b02d84p-4
 atan -0x3.3fb708p-4
+atan -0x2.3249ap+0
+atan -0x1.363f46p+0
+atan -0x1.ad4c0ap+0
 atan min
 atan -min
 atan min_subnorm
diff --git a/math/auto-libm-test-out b/math/auto-libm-test-out
index 46e931c..76331ee 100644
--- a/math/auto-libm-test-out
+++ b/math/auto-libm-test-out
@@ -7927,6 +7927,81 @@ atan -0x3.3fb708p-4
 = atan tonearest ldbl-128ibm -0x3.3fb708p-4L : -0x3.348f092072331fd8ca0cbff349p-4L : inexact-ok
 = atan towardzero ldbl-128ibm -0x3.3fb708p-4L : -0x3.348f092072331fd8ca0cbff348p-4L : inexact-ok
 = atan upward ldbl-128ibm -0x3.3fb708p-4L : -0x3.348f092072331fd8ca0cbff348p-4L : inexact-ok
+atan -0x2.3249ap+0
+= atan downward flt-32 -0x2.3249ap+0f : -0x1.24c034p+0f : inexact-ok
+= atan tonearest flt-32 -0x2.3249ap+0f : -0x1.24c032p+0f : inexact-ok
+= atan towardzero flt-32 -0x2.3249ap+0f : -0x1.24c032p+0f : inexact-ok
+= atan upward flt-32 -0x2.3249ap+0f : -0x1.24c032p+0f : inexact-ok
+= atan downward dbl-64 -0x2.3249ap+0 : -0x1.24c032fe9a703p+0 : inexact-ok
+= atan tonearest dbl-64 -0x2.3249ap+0 : -0x1.24c032fe9a703p+0 : inexact-ok
+= atan towardzero dbl-64 -0x2.3249ap+0 : -0x1.24c032fe9a702p+0 : inexact-ok
+= atan upward dbl-64 -0x2.3249ap+0 : -0x1.24c032fe9a702p+0 : inexact-ok
+= atan downward ldbl-96-intel -0x2.3249ap+0L : -0x1.24c032fe9a702f74p+0L : inexact-ok
+= atan tonearest ldbl-96-intel -0x2.3249ap+0L : -0x1.24c032fe9a702f72p+0L : inexact-ok
+= atan towardzero ldbl-96-intel -0x2.3249ap+0L : -0x1.24c032fe9a702f72p+0L : inexact-ok
+= atan upward ldbl-96-intel -0x2.3249ap+0L : -0x1.24c032fe9a702f72p+0L : inexact-ok
+= atan downward ldbl-96-m68k -0x2.3249ap+0L : -0x1.24c032fe9a702f74p+0L : inexact-ok
+= atan tonearest ldbl-96-m68k -0x2.3249ap+0L : -0x1.24c032fe9a702f72p+0L : inexact-ok
+= atan towardzero ldbl-96-m68k -0x2.3249ap+0L : -0x1.24c032fe9a702f72p+0L : inexact-ok
+= atan upward ldbl-96-m68k -0x2.3249ap+0L : -0x1.24c032fe9a702f72p+0L : inexact-ok
+= atan downward ldbl-128 -0x2.3249ap+0L : -0x1.24c032fe9a702f7255968f75e01cp+0L : inexact-ok
+= atan tonearest ldbl-128 -0x2.3249ap+0L : -0x1.24c032fe9a702f7255968f75e01cp+0L : inexact-ok
+= atan towardzero ldbl-128 -0x2.3249ap+0L : -0x1.24c032fe9a702f7255968f75e01bp+0L : inexact-ok
+= atan upward ldbl-128 -0x2.3249ap+0L : -0x1.24c032fe9a702f7255968f75e01bp+0L : inexact-ok
+= atan downward ldbl-128ibm -0x2.3249ap+0L : -0x1.24c032fe9a702f7255968f75e08p+0L : inexact-ok
+= atan tonearest ldbl-128ibm -0x2.3249ap+0L : -0x1.24c032fe9a702f7255968f75ep+0L : inexact-ok
+= atan towardzero ldbl-128ibm -0x2.3249ap+0L : -0x1.24c032fe9a702f7255968f75ep+0L : inexact-ok
+= atan upward ldbl-128ibm -0x2.3249ap+0L : -0x1.24c032fe9a702f7255968f75ep+0L : inexact-ok
+atan -0x1.363f46p+0
+= atan downward flt-32 -0x1.363f46p+0f : -0xe.1832ep-4f : inexact-ok
+= atan tonearest flt-32 -0x1.363f46p+0f : -0xe.1832ep-4f : inexact-ok
+= atan towardzero flt-32 -0x1.363f46p+0f : -0xe.1832dp-4f : inexact-ok
+= atan upward flt-32 -0x1.363f46p+0f : -0xe.1832dp-4f : inexact-ok
+= atan downward dbl-64 -0x1.363f46p+0 : -0xe.1832df50b23ap-4 : inexact-ok
+= atan tonearest dbl-64 -0x1.363f46p+0 : -0xe.1832df50b2398p-4 : inexact-ok
+= atan towardzero dbl-64 -0x1.363f46p+0 : -0xe.1832df50b2398p-4 : inexact-ok
+= atan upward dbl-64 -0x1.363f46p+0 : -0xe.1832df50b2398p-4 : inexact-ok
+= atan downward ldbl-96-intel -0x1.363f46p+0L : -0xe.1832df50b2398e5p-4L : inexact-ok
+= atan tonearest ldbl-96-intel -0x1.363f46p+0L : -0xe.1832df50b2398e5p-4L : inexact-ok
+= atan towardzero ldbl-96-intel -0x1.363f46p+0L : -0xe.1832df50b2398e4p-4L : inexact-ok
+= atan upward ldbl-96-intel -0x1.363f46p+0L : -0xe.1832df50b2398e4p-4L : inexact-ok
+= atan downward ldbl-96-m68k -0x1.363f46p+0L : -0xe.1832df50b2398e5p-4L : inexact-ok
+= atan tonearest ldbl-96-m68k -0x1.363f46p+0L : -0xe.1832df50b2398e5p-4L : inexact-ok
+= atan towardzero ldbl-96-m68k -0x1.363f46p+0L : -0xe.1832df50b2398e4p-4L : inexact-ok
+= atan upward ldbl-96-m68k -0x1.363f46p+0L : -0xe.1832df50b2398e4p-4L : inexact-ok
+= atan downward ldbl-128 -0x1.363f46p+0L : -0xe.1832df50b2398e4a96945ef0f7f8p-4L : inexact-ok
+= atan tonearest ldbl-128 -0x1.363f46p+0L : -0xe.1832df50b2398e4a96945ef0f7f8p-4L : inexact-ok
+= atan towardzero ldbl-128 -0x1.363f46p+0L : -0xe.1832df50b2398e4a96945ef0f7fp-4L : inexact-ok
+= atan upward ldbl-128 -0x1.363f46p+0L : -0xe.1832df50b2398e4a96945ef0f7fp-4L : inexact-ok
+= atan downward ldbl-128ibm -0x1.363f46p+0L : -0xe.1832df50b2398e4a96945ef0f8p-4L : inexact-ok
+= atan tonearest ldbl-128ibm -0x1.363f46p+0L : -0xe.1832df50b2398e4a96945ef0f8p-4L : inexact-ok
+= atan towardzero ldbl-128ibm -0x1.363f46p+0L : -0xe.1832df50b2398e4a96945ef0f4p-4L : inexact-ok
+= atan upward ldbl-128ibm -0x1.363f46p+0L : -0xe.1832df50b2398e4a96945ef0f4p-4L : inexact-ok
+atan -0x1.ad4c0ap+0
+= atan downward flt-32 -0x1.ad4c0ap+0f : -0x1.087838p+0f : inexact-ok
+= atan tonearest flt-32 -0x1.ad4c0ap+0f : -0x1.087838p+0f : inexact-ok
+= atan towardzero flt-32 -0x1.ad4c0ap+0f : -0x1.087836p+0f : inexact-ok
+= atan upward flt-32 -0x1.ad4c0ap+0f : -0x1.087836p+0f : inexact-ok
+= atan downward dbl-64 -0x1.ad4c0ap+0 : -0x1.0878377062daep+0 : inexact-ok
+= atan tonearest dbl-64 -0x1.ad4c0ap+0 : -0x1.0878377062daep+0 : inexact-ok
+= atan towardzero dbl-64 -0x1.ad4c0ap+0 : -0x1.0878377062dadp+0 : inexact-ok
+= atan upward dbl-64 -0x1.ad4c0ap+0 : -0x1.0878377062dadp+0 : inexact-ok
+= atan downward ldbl-96-intel -0x1.ad4c0ap+0L : -0x1.0878377062dada2cp+0L : inexact-ok
+= atan tonearest ldbl-96-intel -0x1.ad4c0ap+0L : -0x1.0878377062dada2ap+0L : inexact-ok
+= atan towardzero ldbl-96-intel -0x1.ad4c0ap+0L : -0x1.0878377062dada2ap+0L : inexact-ok
+= atan upward ldbl-96-intel -0x1.ad4c0ap+0L : -0x1.0878377062dada2ap+0L : inexact-ok
+= atan downward ldbl-96-m68k -0x1.ad4c0ap+0L : -0x1.0878377062dada2cp+0L : inexact-ok
+= atan tonearest ldbl-96-m68k -0x1.ad4c0ap+0L : -0x1.0878377062dada2ap+0L : inexact-ok
+= atan towardzero ldbl-96-m68k -0x1.ad4c0ap+0L : -0x1.0878377062dada2ap+0L : inexact-ok
+= atan upward ldbl-96-m68k -0x1.ad4c0ap+0L : -0x1.0878377062dada2ap+0L : inexact-ok
+= atan downward ldbl-128 -0x1.ad4c0ap+0L : -0x1.0878377062dada2af4f466e46577p+0L : inexact-ok
+= atan tonearest ldbl-128 -0x1.ad4c0ap+0L : -0x1.0878377062dada2af4f466e46577p+0L : inexact-ok
+= atan towardzero ldbl-128 -0x1.ad4c0ap+0L : -0x1.0878377062dada2af4f466e46576p+0L : inexact-ok
+= atan upward ldbl-128 -0x1.ad4c0ap+0L : -0x1.0878377062dada2af4f466e46576p+0L : inexact-ok
+= atan downward ldbl-128ibm -0x1.ad4c0ap+0L : -0x1.0878377062dada2af4f466e4658p+0L : inexact-ok
+= atan tonearest ldbl-128ibm -0x1.ad4c0ap+0L : -0x1.0878377062dada2af4f466e4658p+0L : inexact-ok
+= atan towardzero ldbl-128ibm -0x1.ad4c0ap+0L : -0x1.0878377062dada2af4f466e465p+0L : inexact-ok
+= atan upward ldbl-128ibm -0x1.ad4c0ap+0L : -0x1.0878377062dada2af4f466e465p+0L : inexact-ok
 atan min
 = atan downward flt-32 0x4p-128f : 0x3.fffff8p-128f : inexact-ok underflow-ok errno-erange-ok
 = atan tonearest flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok errno-erange-ok