Fix cos computation for multiple precision fallback (bz #20357)

During the sincos consolidation I made two mistakes, one was a logical
error due to which cos(0x1.8475e5afd4481p+0) returned
sin(0x1.8475e5afd4481p+0) instead.

The second issue was an error in negating inputs for the correct
quadrants for sine.  I could not find a suitable test case for this
despite running a program to search for such an input for a couple of
hours.

Following patch fixes both issues.  Tested on x86_64.  Thanks to Matt
Clay for identifying the issue.

	[BZ #20357]
	* sysdeps/ieee754/dbl-64/s_sin.c (sloww): Fix up condition
	to call __mpsin/__mpcos and to negate values.
	* math/auto-libm-test-in: Add test.
	* math/auto-libm-test-out: Regenerate.

(cherry picked from commit cbf88869edced4b23d792d95a8626e35b831df35)

5 files changed, 222 insertions, 2 deletions

diff --git a/ChangeLog b/ChangeLog
index 457fcb5fd6..46820acb1d 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,12 @@
+2016-07-18  Siddhesh Poyarekar  <siddhesh@sourceware.org>
+	    Matt Clay  <mclay@lycos.com>
+
+	[BZ #20357]
+	* sysdeps/ieee754/dbl-64/s_sin.c (sloww): Fix up condition
+	to call __mpsin/__mpcos and to negate values.
+	* math/auto-libm-test-in: Add test.
+	* math/auto-libm-test-out: Regenerate.
+
 2016-10-17  H.J. Lu <hjl.tools@gmail.com>
 
 	[BZ #20384]
diff --git a/NEWS b/NEWS
index e03e9f1f3f..b3beeafe1c 100644
--- a/NEWS
+++ b/NEWS
@@ -41,6 +41,7 @@ The following bugs are resolved with this release:
   [19879] network: nss_dns: Stack overflow in getnetbyname implementation
     (CVE-2016-3075)
   [20177] $dp is not initialized correctly in sysdeps/hppa/start.S
+  [20357] Incorrect cos result for 1.5174239687223976
 
 
 Version 2.23
diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in
index 4b753de040..1b2599758f 100644
--- a/math/auto-libm-test-in
+++ b/math/auto-libm-test-in
@@ -1144,6 +1144,7 @@ cos 0x4.7857dp+68
 cos -0x1.02e34cp+0
 cos 0xf.f0274p+4
 cos 0x3.042d88p+0
+cos 0x1.8475e5afd4481p+0
 
 cosh 0
 cosh -0
@@ -3780,6 +3781,7 @@ sin min
 sin -min
 sin min_subnorm
 sin -min_subnorm
+sin 0x1.8475e5afd4481p+0
 
 sincos 0
 sincos -0
@@ -3814,6 +3816,7 @@ sincos min
 sincos -min
 sincos min_subnorm
 sincos -min_subnorm
+sincos 0x1.8475e5afd4481p+0
 
 sinh 0
 sinh -0
diff --git a/math/auto-libm-test-out b/math/auto-libm-test-out
index 9d3819ca01..b751fa7298 100644
--- a/math/auto-libm-test-out
+++ b/math/auto-libm-test-out
@@ -103416,6 +103416,75 @@ cos 0x3.042d88p+0
 = cos tonearest ldbl-128ibm 0x3.042d88p+0L : -0xf.dfe6f2169e24f276e8027d91bcp-4L : inexact-ok
 = cos towardzero ldbl-128ibm 0x3.042d88p+0L : -0xf.dfe6f2169e24f276e8027d91b8p-4L : inexact-ok
 = cos upward ldbl-128ibm 0x3.042d88p+0L : -0xf.dfe6f2169e24f276e8027d91b8p-4L : inexact-ok
+cos 0x1.8475e5afd4481p+0
+= cos downward flt-32 0x1.8475e6p+0f : 0xd.a8263p-8f : inexact-ok
+= cos tonearest flt-32 0x1.8475e6p+0f : 0xd.a8263p-8f : inexact-ok
+= cos towardzero flt-32 0x1.8475e6p+0f : 0xd.a8263p-8f : inexact-ok
+= cos upward flt-32 0x1.8475e6p+0f : 0xd.a8264p-8f : inexact-ok
+= cos downward dbl-64 0x1.8475e6p+0 : 0xd.a8263394be6dp-8 : inexact-ok
+= cos tonearest dbl-64 0x1.8475e6p+0 : 0xd.a8263394be6dp-8 : inexact-ok
+= cos towardzero dbl-64 0x1.8475e6p+0 : 0xd.a8263394be6dp-8 : inexact-ok
+= cos upward dbl-64 0x1.8475e6p+0 : 0xd.a8263394be6d8p-8 : inexact-ok
+= cos downward ldbl-96-intel 0x1.8475e6p+0L : 0xd.a8263394be6d0e5p-8L : inexact-ok
+= cos tonearest ldbl-96-intel 0x1.8475e6p+0L : 0xd.a8263394be6d0e6p-8L : inexact-ok
+= cos towardzero ldbl-96-intel 0x1.8475e6p+0L : 0xd.a8263394be6d0e5p-8L : inexact-ok
+= cos upward ldbl-96-intel 0x1.8475e6p+0L : 0xd.a8263394be6d0e6p-8L : inexact-ok
+= cos downward ldbl-96-m68k 0x1.8475e6p+0L : 0xd.a8263394be6d0e5p-8L : inexact-ok
+= cos tonearest ldbl-96-m68k 0x1.8475e6p+0L : 0xd.a8263394be6d0e6p-8L : inexact-ok
+= cos towardzero ldbl-96-m68k 0x1.8475e6p+0L : 0xd.a8263394be6d0e5p-8L : inexact-ok
+= cos upward ldbl-96-m68k 0x1.8475e6p+0L : 0xd.a8263394be6d0e6p-8L : inexact-ok
+= cos downward ldbl-128 0x1.8475e6p+0L : 0xd.a8263394be6d0e58c1c35a8a3bap-8L : inexact-ok
+= cos tonearest ldbl-128 0x1.8475e6p+0L : 0xd.a8263394be6d0e58c1c35a8a3bap-8L : inexact-ok
+= cos towardzero ldbl-128 0x1.8475e6p+0L : 0xd.a8263394be6d0e58c1c35a8a3bap-8L : inexact-ok
+= cos upward ldbl-128 0x1.8475e6p+0L : 0xd.a8263394be6d0e58c1c35a8a3ba8p-8L : inexact-ok
+= cos downward ldbl-128ibm 0x1.8475e6p+0L : 0xd.a8263394be6d0e58c1c35a8a38p-8L : inexact-ok
+= cos tonearest ldbl-128ibm 0x1.8475e6p+0L : 0xd.a8263394be6d0e58c1c35a8a3cp-8L : inexact-ok
+= cos towardzero ldbl-128ibm 0x1.8475e6p+0L : 0xd.a8263394be6d0e58c1c35a8a38p-8L : inexact-ok
+= cos upward ldbl-128ibm 0x1.8475e6p+0L : 0xd.a8263394be6d0e58c1c35a8a3cp-8L : inexact-ok
+= cos downward flt-32 0x1.8475e4p+0f : 0xd.a8283p-8f : inexact-ok
+= cos tonearest flt-32 0x1.8475e4p+0f : 0xd.a8283p-8f : inexact-ok
+= cos towardzero flt-32 0x1.8475e4p+0f : 0xd.a8283p-8f : inexact-ok
+= cos upward flt-32 0x1.8475e4p+0f : 0xd.a8284p-8f : inexact-ok
+= cos downward dbl-64 0x1.8475e4p+0 : 0xd.a82832da19f98p-8 : inexact-ok
+= cos tonearest dbl-64 0x1.8475e4p+0 : 0xd.a82832da19f98p-8 : inexact-ok
+= cos towardzero dbl-64 0x1.8475e4p+0 : 0xd.a82832da19f98p-8 : inexact-ok
+= cos upward dbl-64 0x1.8475e4p+0 : 0xd.a82832da19fap-8 : inexact-ok
+= cos downward ldbl-96-intel 0x1.8475e4p+0L : 0xd.a82832da19f9891p-8L : inexact-ok
+= cos tonearest ldbl-96-intel 0x1.8475e4p+0L : 0xd.a82832da19f9892p-8L : inexact-ok
+= cos towardzero ldbl-96-intel 0x1.8475e4p+0L : 0xd.a82832da19f9891p-8L : inexact-ok
+= cos upward ldbl-96-intel 0x1.8475e4p+0L : 0xd.a82832da19f9892p-8L : inexact-ok
+= cos downward ldbl-96-m68k 0x1.8475e4p+0L : 0xd.a82832da19f9891p-8L : inexact-ok
+= cos tonearest ldbl-96-m68k 0x1.8475e4p+0L : 0xd.a82832da19f9892p-8L : inexact-ok
+= cos towardzero ldbl-96-m68k 0x1.8475e4p+0L : 0xd.a82832da19f9891p-8L : inexact-ok
+= cos upward ldbl-96-m68k 0x1.8475e4p+0L : 0xd.a82832da19f9892p-8L : inexact-ok
+= cos downward ldbl-128 0x1.8475e4p+0L : 0xd.a82832da19f9891d9762fa659ff8p-8L : inexact-ok
+= cos tonearest ldbl-128 0x1.8475e4p+0L : 0xd.a82832da19f9891d9762fa659ff8p-8L : inexact-ok
+= cos towardzero ldbl-128 0x1.8475e4p+0L : 0xd.a82832da19f9891d9762fa659ff8p-8L : inexact-ok
+= cos upward ldbl-128 0x1.8475e4p+0L : 0xd.a82832da19f9891d9762fa65ap-8L : inexact-ok
+= cos downward ldbl-128ibm 0x1.8475e4p+0L : 0xd.a82832da19f9891d9762fa659cp-8L : inexact-ok
+= cos tonearest ldbl-128ibm 0x1.8475e4p+0L : 0xd.a82832da19f9891d9762fa65ap-8L : inexact-ok
+= cos towardzero ldbl-128ibm 0x1.8475e4p+0L : 0xd.a82832da19f9891d9762fa659cp-8L : inexact-ok
+= cos upward ldbl-128ibm 0x1.8475e4p+0L : 0xd.a82832da19f9891d9762fa65ap-8L : inexact-ok
+= cos downward dbl-64 0x1.8475e5afd4481p+0 : 0xd.a82683a33cbe8p-8 : inexact-ok
+= cos tonearest dbl-64 0x1.8475e5afd4481p+0 : 0xd.a82683a33cbe8p-8 : inexact-ok
+= cos towardzero dbl-64 0x1.8475e5afd4481p+0 : 0xd.a82683a33cbe8p-8 : inexact-ok
+= cos upward dbl-64 0x1.8475e5afd4481p+0 : 0xd.a82683a33cbfp-8 : inexact-ok
+= cos downward ldbl-96-intel 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbebffp-8L : inexact-ok
+= cos tonearest ldbl-96-intel 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbecp-8L : inexact-ok
+= cos towardzero ldbl-96-intel 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbebffp-8L : inexact-ok
+= cos upward ldbl-96-intel 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbecp-8L : inexact-ok
+= cos downward ldbl-96-m68k 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbebffp-8L : inexact-ok
+= cos tonearest ldbl-96-m68k 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbecp-8L : inexact-ok
+= cos towardzero ldbl-96-m68k 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbebffp-8L : inexact-ok
+= cos upward ldbl-96-m68k 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbecp-8L : inexact-ok
+= cos downward ldbl-128 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbebfffffffa2966878p-8L : inexact-ok
+= cos tonearest ldbl-128 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbebfffffffa2966878p-8L : inexact-ok
+= cos towardzero ldbl-128 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbebfffffffa2966878p-8L : inexact-ok
+= cos upward ldbl-128 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbebfffffffa296688p-8L : inexact-ok
+= cos downward ldbl-128ibm 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbebfffffffa29668p-8L : inexact-ok
+= cos tonearest ldbl-128ibm 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbebfffffffa29668p-8L : inexact-ok
+= cos towardzero ldbl-128ibm 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbebfffffffa29668p-8L : inexact-ok
+= cos upward ldbl-128ibm 0x1.8475e5afd4481p+0L : 0xd.a82683a33cbebfffffffa2966cp-8L : inexact-ok
 cosh 0
 = cosh downward flt-32 0x0p+0f : 0x1p+0f : inexact-ok
 = cosh tonearest flt-32 0x0p+0f : 0x1p+0f : inexact-ok
@@ -262073,6 +262142,75 @@ sin -min_subnorm
 = sin tonearest ldbl-128 -0x4p-16496L : -0x4p-16496L : inexact-ok underflow errno-erange-ok
 = sin towardzero ldbl-128 -0x4p-16496L : -0x0p+0L : inexact-ok underflow errno-erange-ok
 = sin upward ldbl-128 -0x4p-16496L : -0x0p+0L : inexact-ok underflow errno-erange-ok
+sin 0x1.8475e5afd4481p+0
+= sin downward flt-32 0x1.8475e6p+0f : 0xf.fa2adp-4f : inexact-ok
+= sin tonearest flt-32 0x1.8475e6p+0f : 0xf.fa2aep-4f : inexact-ok
+= sin towardzero flt-32 0x1.8475e6p+0f : 0xf.fa2adp-4f : inexact-ok
+= sin upward flt-32 0x1.8475e6p+0f : 0xf.fa2aep-4f : inexact-ok
+= sin downward dbl-64 0x1.8475e6p+0 : 0xf.fa2add3e58948p-4 : inexact-ok
+= sin tonearest dbl-64 0x1.8475e6p+0 : 0xf.fa2add3e58948p-4 : inexact-ok
+= sin towardzero dbl-64 0x1.8475e6p+0 : 0xf.fa2add3e58948p-4 : inexact-ok
+= sin upward dbl-64 0x1.8475e6p+0 : 0xf.fa2add3e5895p-4 : inexact-ok
+= sin downward ldbl-96-intel 0x1.8475e6p+0L : 0xf.fa2add3e58948d1p-4L : inexact-ok
+= sin tonearest ldbl-96-intel 0x1.8475e6p+0L : 0xf.fa2add3e58948d1p-4L : inexact-ok
+= sin towardzero ldbl-96-intel 0x1.8475e6p+0L : 0xf.fa2add3e58948d1p-4L : inexact-ok
+= sin upward ldbl-96-intel 0x1.8475e6p+0L : 0xf.fa2add3e58948d2p-4L : inexact-ok
+= sin downward ldbl-96-m68k 0x1.8475e6p+0L : 0xf.fa2add3e58948d1p-4L : inexact-ok
+= sin tonearest ldbl-96-m68k 0x1.8475e6p+0L : 0xf.fa2add3e58948d1p-4L : inexact-ok
+= sin towardzero ldbl-96-m68k 0x1.8475e6p+0L : 0xf.fa2add3e58948d1p-4L : inexact-ok
+= sin upward ldbl-96-m68k 0x1.8475e6p+0L : 0xf.fa2add3e58948d2p-4L : inexact-ok
+= sin downward ldbl-128 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b5618p-4L : inexact-ok
+= sin tonearest ldbl-128 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b562p-4L : inexact-ok
+= sin towardzero ldbl-128 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b5618p-4L : inexact-ok
+= sin upward ldbl-128 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b562p-4L : inexact-ok
+= sin downward ldbl-128ibm 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b54p-4L : inexact-ok
+= sin tonearest ldbl-128ibm 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b58p-4L : inexact-ok
+= sin towardzero ldbl-128ibm 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b54p-4L : inexact-ok
+= sin upward ldbl-128ibm 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b58p-4L : inexact-ok
+= sin downward flt-32 0x1.8475e4p+0f : 0xf.fa2adp-4f : inexact-ok
+= sin tonearest flt-32 0x1.8475e4p+0f : 0xf.fa2aep-4f : inexact-ok
+= sin towardzero flt-32 0x1.8475e4p+0f : 0xf.fa2adp-4f : inexact-ok
+= sin upward flt-32 0x1.8475e4p+0f : 0xf.fa2aep-4f : inexact-ok
+= sin downward dbl-64 0x1.8475e4p+0 : 0xf.fa2adb8953aep-4 : inexact-ok
+= sin tonearest dbl-64 0x1.8475e4p+0 : 0xf.fa2adb8953aep-4 : inexact-ok
+= sin towardzero dbl-64 0x1.8475e4p+0 : 0xf.fa2adb8953aep-4 : inexact-ok
+= sin upward dbl-64 0x1.8475e4p+0 : 0xf.fa2adb8953ae8p-4 : inexact-ok
+= sin downward ldbl-96-intel 0x1.8475e4p+0L : 0xf.fa2adb8953ae262p-4L : inexact-ok
+= sin tonearest ldbl-96-intel 0x1.8475e4p+0L : 0xf.fa2adb8953ae262p-4L : inexact-ok
+= sin towardzero ldbl-96-intel 0x1.8475e4p+0L : 0xf.fa2adb8953ae262p-4L : inexact-ok
+= sin upward ldbl-96-intel 0x1.8475e4p+0L : 0xf.fa2adb8953ae263p-4L : inexact-ok
+= sin downward ldbl-96-m68k 0x1.8475e4p+0L : 0xf.fa2adb8953ae262p-4L : inexact-ok
+= sin tonearest ldbl-96-m68k 0x1.8475e4p+0L : 0xf.fa2adb8953ae262p-4L : inexact-ok
+= sin towardzero ldbl-96-m68k 0x1.8475e4p+0L : 0xf.fa2adb8953ae262p-4L : inexact-ok
+= sin upward ldbl-96-m68k 0x1.8475e4p+0L : 0xf.fa2adb8953ae263p-4L : inexact-ok
+= sin downward ldbl-128 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f6b8p-4L : inexact-ok
+= sin tonearest ldbl-128 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f6cp-4L : inexact-ok
+= sin towardzero ldbl-128 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f6b8p-4L : inexact-ok
+= sin upward ldbl-128 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f6cp-4L : inexact-ok
+= sin downward ldbl-128ibm 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f4p-4L : inexact-ok
+= sin tonearest ldbl-128ibm 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f8p-4L : inexact-ok
+= sin towardzero ldbl-128ibm 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f4p-4L : inexact-ok
+= sin upward ldbl-128ibm 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f8p-4L : inexact-ok
+= sin downward dbl-64 0x1.8475e5afd4481p+0 : 0xf.fa2adcf9ea838p-4 : inexact-ok
+= sin tonearest dbl-64 0x1.8475e5afd4481p+0 : 0xf.fa2adcf9ea84p-4 : inexact-ok
+= sin towardzero dbl-64 0x1.8475e5afd4481p+0 : 0xf.fa2adcf9ea838p-4 : inexact-ok
+= sin upward dbl-64 0x1.8475e5afd4481p+0 : 0xf.fa2adcf9ea84p-4 : inexact-ok
+= sin downward ldbl-96-intel 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdp-4L : inexact-ok
+= sin tonearest ldbl-96-intel 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbep-4L : inexact-ok
+= sin towardzero ldbl-96-intel 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdp-4L : inexact-ok
+= sin upward ldbl-96-intel 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbep-4L : inexact-ok
+= sin downward ldbl-96-m68k 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdp-4L : inexact-ok
+= sin tonearest ldbl-96-m68k 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbep-4L : inexact-ok
+= sin towardzero ldbl-96-m68k 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdp-4L : inexact-ok
+= sin upward ldbl-96-m68k 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbep-4L : inexact-ok
+= sin downward ldbl-128 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455ea68p-4L : inexact-ok
+= sin tonearest ldbl-128 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455ea7p-4L : inexact-ok
+= sin towardzero ldbl-128 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455ea68p-4L : inexact-ok
+= sin upward ldbl-128 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455ea7p-4L : inexact-ok
+= sin downward ldbl-128ibm 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455e8p-4L : inexact-ok
+= sin tonearest ldbl-128ibm 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455ecp-4L : inexact-ok
+= sin towardzero ldbl-128ibm 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455e8p-4L : inexact-ok
+= sin upward ldbl-128ibm 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455ecp-4L : inexact-ok
 sincos 0
 = sincos downward flt-32 0x0p+0f : 0x0p+0f 0x1p+0f : inexact-ok
 = sincos tonearest flt-32 0x0p+0f : 0x0p+0f 0x1p+0f : inexact-ok
@@ -264170,6 +264308,75 @@ sincos -min_subnorm
 = sincos tonearest ldbl-128 -0x4p-16496L : -0x4p-16496L 0x1p+0L : inexact-ok underflow errno-erange-ok
 = sincos towardzero ldbl-128 -0x4p-16496L : -0x0p+0L 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok underflow errno-erange-ok
 = sincos upward ldbl-128 -0x4p-16496L : -0x0p+0L 0x1p+0L : inexact-ok underflow errno-erange-ok
+sincos 0x1.8475e5afd4481p+0
+= sincos downward flt-32 0x1.8475e6p+0f : 0xf.fa2adp-4f 0xd.a8263p-8f : inexact-ok
+= sincos tonearest flt-32 0x1.8475e6p+0f : 0xf.fa2aep-4f 0xd.a8263p-8f : inexact-ok
+= sincos towardzero flt-32 0x1.8475e6p+0f : 0xf.fa2adp-4f 0xd.a8263p-8f : inexact-ok
+= sincos upward flt-32 0x1.8475e6p+0f : 0xf.fa2aep-4f 0xd.a8264p-8f : inexact-ok
+= sincos downward dbl-64 0x1.8475e6p+0 : 0xf.fa2add3e58948p-4 0xd.a8263394be6dp-8 : inexact-ok
+= sincos tonearest dbl-64 0x1.8475e6p+0 : 0xf.fa2add3e58948p-4 0xd.a8263394be6dp-8 : inexact-ok
+= sincos towardzero dbl-64 0x1.8475e6p+0 : 0xf.fa2add3e58948p-4 0xd.a8263394be6dp-8 : inexact-ok
+= sincos upward dbl-64 0x1.8475e6p+0 : 0xf.fa2add3e5895p-4 0xd.a8263394be6d8p-8 : inexact-ok
+= sincos downward ldbl-96-intel 0x1.8475e6p+0L : 0xf.fa2add3e58948d1p-4L 0xd.a8263394be6d0e5p-8L : inexact-ok
+= sincos tonearest ldbl-96-intel 0x1.8475e6p+0L : 0xf.fa2add3e58948d1p-4L 0xd.a8263394be6d0e6p-8L : inexact-ok
+= sincos towardzero ldbl-96-intel 0x1.8475e6p+0L : 0xf.fa2add3e58948d1p-4L 0xd.a8263394be6d0e5p-8L : inexact-ok
+= sincos upward ldbl-96-intel 0x1.8475e6p+0L : 0xf.fa2add3e58948d2p-4L 0xd.a8263394be6d0e6p-8L : inexact-ok
+= sincos downward ldbl-96-m68k 0x1.8475e6p+0L : 0xf.fa2add3e58948d1p-4L 0xd.a8263394be6d0e5p-8L : inexact-ok
+= sincos tonearest ldbl-96-m68k 0x1.8475e6p+0L : 0xf.fa2add3e58948d1p-4L 0xd.a8263394be6d0e6p-8L : inexact-ok
+= sincos towardzero ldbl-96-m68k 0x1.8475e6p+0L : 0xf.fa2add3e58948d1p-4L 0xd.a8263394be6d0e5p-8L : inexact-ok
+= sincos upward ldbl-96-m68k 0x1.8475e6p+0L : 0xf.fa2add3e58948d2p-4L 0xd.a8263394be6d0e6p-8L : inexact-ok
+= sincos downward ldbl-128 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b5618p-4L 0xd.a8263394be6d0e58c1c35a8a3bap-8L : inexact-ok
+= sincos tonearest ldbl-128 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b562p-4L 0xd.a8263394be6d0e58c1c35a8a3bap-8L : inexact-ok
+= sincos towardzero ldbl-128 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b5618p-4L 0xd.a8263394be6d0e58c1c35a8a3bap-8L : inexact-ok
+= sincos upward ldbl-128 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b562p-4L 0xd.a8263394be6d0e58c1c35a8a3ba8p-8L : inexact-ok
+= sincos downward ldbl-128ibm 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b54p-4L 0xd.a8263394be6d0e58c1c35a8a38p-8L : inexact-ok
+= sincos tonearest ldbl-128ibm 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b58p-4L 0xd.a8263394be6d0e58c1c35a8a3cp-8L : inexact-ok
+= sincos towardzero ldbl-128ibm 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b54p-4L 0xd.a8263394be6d0e58c1c35a8a38p-8L : inexact-ok
+= sincos upward ldbl-128ibm 0x1.8475e6p+0L : 0xf.fa2add3e58948d10238cc27b58p-4L 0xd.a8263394be6d0e58c1c35a8a3cp-8L : inexact-ok
+= sincos downward flt-32 0x1.8475e4p+0f : 0xf.fa2adp-4f 0xd.a8283p-8f : inexact-ok
+= sincos tonearest flt-32 0x1.8475e4p+0f : 0xf.fa2aep-4f 0xd.a8283p-8f : inexact-ok
+= sincos towardzero flt-32 0x1.8475e4p+0f : 0xf.fa2adp-4f 0xd.a8283p-8f : inexact-ok
+= sincos upward flt-32 0x1.8475e4p+0f : 0xf.fa2aep-4f 0xd.a8284p-8f : inexact-ok
+= sincos downward dbl-64 0x1.8475e4p+0 : 0xf.fa2adb8953aep-4 0xd.a82832da19f98p-8 : inexact-ok
+= sincos tonearest dbl-64 0x1.8475e4p+0 : 0xf.fa2adb8953aep-4 0xd.a82832da19f98p-8 : inexact-ok
+= sincos towardzero dbl-64 0x1.8475e4p+0 : 0xf.fa2adb8953aep-4 0xd.a82832da19f98p-8 : inexact-ok
+= sincos upward dbl-64 0x1.8475e4p+0 : 0xf.fa2adb8953ae8p-4 0xd.a82832da19fap-8 : inexact-ok
+= sincos downward ldbl-96-intel 0x1.8475e4p+0L : 0xf.fa2adb8953ae262p-4L 0xd.a82832da19f9891p-8L : inexact-ok
+= sincos tonearest ldbl-96-intel 0x1.8475e4p+0L : 0xf.fa2adb8953ae262p-4L 0xd.a82832da19f9892p-8L : inexact-ok
+= sincos towardzero ldbl-96-intel 0x1.8475e4p+0L : 0xf.fa2adb8953ae262p-4L 0xd.a82832da19f9891p-8L : inexact-ok
+= sincos upward ldbl-96-intel 0x1.8475e4p+0L : 0xf.fa2adb8953ae263p-4L 0xd.a82832da19f9892p-8L : inexact-ok
+= sincos downward ldbl-96-m68k 0x1.8475e4p+0L : 0xf.fa2adb8953ae262p-4L 0xd.a82832da19f9891p-8L : inexact-ok
+= sincos tonearest ldbl-96-m68k 0x1.8475e4p+0L : 0xf.fa2adb8953ae262p-4L 0xd.a82832da19f9892p-8L : inexact-ok
+= sincos towardzero ldbl-96-m68k 0x1.8475e4p+0L : 0xf.fa2adb8953ae262p-4L 0xd.a82832da19f9891p-8L : inexact-ok
+= sincos upward ldbl-96-m68k 0x1.8475e4p+0L : 0xf.fa2adb8953ae263p-4L 0xd.a82832da19f9892p-8L : inexact-ok
+= sincos downward ldbl-128 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f6b8p-4L 0xd.a82832da19f9891d9762fa659ff8p-8L : inexact-ok
+= sincos tonearest ldbl-128 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f6cp-4L 0xd.a82832da19f9891d9762fa659ff8p-8L : inexact-ok
+= sincos towardzero ldbl-128 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f6b8p-4L 0xd.a82832da19f9891d9762fa659ff8p-8L : inexact-ok
+= sincos upward ldbl-128 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f6cp-4L 0xd.a82832da19f9891d9762fa65ap-8L : inexact-ok
+= sincos downward ldbl-128ibm 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f4p-4L 0xd.a82832da19f9891d9762fa659cp-8L : inexact-ok
+= sincos tonearest ldbl-128ibm 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f8p-4L 0xd.a82832da19f9891d9762fa65ap-8L : inexact-ok
+= sincos towardzero ldbl-128ibm 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f4p-4L 0xd.a82832da19f9891d9762fa659cp-8L : inexact-ok
+= sincos upward ldbl-128ibm 0x1.8475e4p+0L : 0xf.fa2adb8953ae26229c919ec8f8p-4L 0xd.a82832da19f9891d9762fa65ap-8L : inexact-ok
+= sincos downward dbl-64 0x1.8475e5afd4481p+0 : 0xf.fa2adcf9ea838p-4 0xd.a82683a33cbe8p-8 : inexact-ok
+= sincos tonearest dbl-64 0x1.8475e5afd4481p+0 : 0xf.fa2adcf9ea84p-4 0xd.a82683a33cbe8p-8 : inexact-ok
+= sincos towardzero dbl-64 0x1.8475e5afd4481p+0 : 0xf.fa2adcf9ea838p-4 0xd.a82683a33cbe8p-8 : inexact-ok
+= sincos upward dbl-64 0x1.8475e5afd4481p+0 : 0xf.fa2adcf9ea84p-4 0xd.a82683a33cbfp-8 : inexact-ok
+= sincos downward ldbl-96-intel 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdp-4L 0xd.a82683a33cbebffp-8L : inexact-ok
+= sincos tonearest ldbl-96-intel 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbep-4L 0xd.a82683a33cbecp-8L : inexact-ok
+= sincos towardzero ldbl-96-intel 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdp-4L 0xd.a82683a33cbebffp-8L : inexact-ok
+= sincos upward ldbl-96-intel 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbep-4L 0xd.a82683a33cbecp-8L : inexact-ok
+= sincos downward ldbl-96-m68k 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdp-4L 0xd.a82683a33cbebffp-8L : inexact-ok
+= sincos tonearest ldbl-96-m68k 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbep-4L 0xd.a82683a33cbecp-8L : inexact-ok
+= sincos towardzero ldbl-96-m68k 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdp-4L 0xd.a82683a33cbebffp-8L : inexact-ok
+= sincos upward ldbl-96-m68k 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbep-4L 0xd.a82683a33cbecp-8L : inexact-ok
+= sincos downward ldbl-128 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455ea68p-4L 0xd.a82683a33cbebfffffffa2966878p-8L : inexact-ok
+= sincos tonearest ldbl-128 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455ea7p-4L 0xd.a82683a33cbebfffffffa2966878p-8L : inexact-ok
+= sincos towardzero ldbl-128 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455ea68p-4L 0xd.a82683a33cbebfffffffa2966878p-8L : inexact-ok
+= sincos upward ldbl-128 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455ea7p-4L 0xd.a82683a33cbebfffffffa296688p-8L : inexact-ok
+= sincos downward ldbl-128ibm 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455e8p-4L 0xd.a82683a33cbebfffffffa29668p-8L : inexact-ok
+= sincos tonearest ldbl-128ibm 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455ecp-4L 0xd.a82683a33cbebfffffffa29668p-8L : inexact-ok
+= sincos towardzero ldbl-128ibm 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455e8p-4L 0xd.a82683a33cbebfffffffa29668p-8L : inexact-ok
+= sincos upward ldbl-128ibm 0x1.8475e5afd4481p+0L : 0xf.fa2adcf9ea83dbdd053ee455ecp-4L 0xd.a82683a33cbebfffffffa2966cp-8L : inexact-ok
 sinh 0
 = sinh downward flt-32 0x0p+0f : 0x0p+0f : inexact-ok
 = sinh tonearest flt-32 0x0p+0f : 0x0p+0f : inexact-ok
diff --git a/sysdeps/ieee754/dbl-64/s_sin.c b/sysdeps/ieee754/dbl-64/s_sin.c
index ca2532fb63..7c9a07990f 100644
--- a/sysdeps/ieee754/dbl-64/s_sin.c
+++ b/sysdeps/ieee754/dbl-64/s_sin.c
@@ -803,7 +803,7 @@ sloww (double x, double dx, double orig, int k)
   a = t - y;
   da = ((t - a) - y) + da;
 
-  if (n == 2 || n == 1)
+  if (n & 2)
     {
       a = -a;
       da = -da;
@@ -817,7 +817,7 @@ sloww (double x, double dx, double orig, int k)
   if (w[0] == w[0] + cor)
     return (a > 0) ? w[0] : -w[0];
 
-  return (n & 1) ? __mpcos (orig, 0, true) : __mpsin (orig, 0, true);
+  return k ? __mpcos (orig, 0, true) : __mpsin (orig, 0, true);
 }
 
 /***************************************************************************/