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authorJoseph Myers <joseph@codesourcery.com>2015-02-26 21:06:34 +0000
committerJoseph Myers <joseph@codesourcery.com>2015-02-26 21:06:34 +0000
commit1d9ab20c14211abbf45514e63c190dfeec27fa5e (patch)
treecbe705e320799863f477d32c3062f6260c0c72a2
parentec0ce0d3be4ae21add09139c705852ed8bb114c7 (diff)
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Fix ldbl-128/ldbl-128ibm acosl inaccuracy (bug 18038, bug 18039).
The ldbl-128 and ldbl-128ibm implementations of acosl have similar bugs, using a threshold of 0x1p-57L to determine when they just return pi/2. Since the result pi/2 - asinl (x) is roughly pi/2 - x for small x, the relevant cut-off is actually x being < 0.5ulp of 1. This patch fixes the implementations to use that cut-off and adds tests of small acos arguments. Tested for powerpc and mips64. Also tested for x86_64 and x86; no ulps updates needed. [BZ #18038] [BZ #18039] * sysdeps/ieee754/ldbl-128/e_acosl.c (__ieee754_acosl): Only return pi/2 for arguments below 0x1p-113L. * sysdeps/ieee754/ldbl-128ibm/e_acosl.c (__ieee754_acosl): Only return pi/2 for arguments below 0x1p-106L. * math/auto-libm-test-in: Add more tests of acos. * math/auto-libm-test-out: Regenerated.
-rw-r--r--ChangeLog9
-rw-r--r--NEWS2
-rw-r--r--math/auto-libm-test-in31
-rw-r--r--math/auto-libm-test-out775
-rw-r--r--sysdeps/ieee754/ldbl-128/e_acosl.c2
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/e_acosl.c2
6 files changed, 818 insertions, 3 deletions
diff --git a/ChangeLog b/ChangeLog
index 1cc3de62de..7f94e617cf 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,5 +1,14 @@
2015-02-26 Joseph Myers <joseph@codesourcery.com>
+ [BZ #18038]
+ [BZ #18039]
+ * sysdeps/ieee754/ldbl-128/e_acosl.c (__ieee754_acosl): Only
+ return pi/2 for arguments below 0x1p-113L.
+ * sysdeps/ieee754/ldbl-128ibm/e_acosl.c (__ieee754_acosl): Only
+ return pi/2 for arguments below 0x1p-106L.
+ * math/auto-libm-test-in: Add more tests of acos.
+ * math/auto-libm-test-out: Regenerated.
+
[BZ #16351]
* sysdeps/i386/fpu/e_asin.S (dbl_min): New object.
(MO): New macro.
diff --git a/NEWS b/NEWS
index 40959d3530..24ebc36ff6 100644
--- a/NEWS
+++ b/NEWS
@@ -12,7 +12,7 @@ Version 2.22
4719, 14841, 13064, 14094, 15319, 15467, 15790, 15969, 16351, 16560,
16783, 17269, 17523, 17569, 17588, 17792, 17836, 17912, 17916, 17932,
17944, 17949, 17964, 17965, 17967, 17969, 17978, 17987, 17991, 17996,
- 17998, 17999, 18019, 18020, 18029, 18030, 18032.
+ 17998, 17999, 18019, 18020, 18029, 18030, 18032, 18038, 18039.
* Character encoding and ctype tables were updated to Unicode 7.0.0, using
new generator scripts contributed by Pravin Satpute and Mike FABIAN (Red
diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in
index bd85805224..19d5396d10 100644
--- a/math/auto-libm-test-in
+++ b/math/auto-libm-test-in
@@ -33,6 +33,37 @@ acos 0x0.ffffffffffffp0
acos -0x0.ffffffffffffp0
acos 0x0.ffffffffffffffffp0
acos -0x0.ffffffffffffffffp0
+acos 0x1p-5
+acos 0x1p-10
+acos 0x1p-15
+acos 0x1p-20
+acos 0x1p-25
+acos 0x1p-30
+acos 0x1p-35
+acos 0x1p-40
+acos 0x1p-45
+acos 0x1p-50
+acos 0x1p-55
+acos 0x1p-60
+acos 0x1p-65
+acos 0x1p-70
+acos 0x1p-75
+acos 0x1p-80
+acos 0x1p-85
+acos 0x1p-90
+acos 0x1p-95
+acos 0x1p-100
+acos 0x1p-105
+acos 0x1p-110
+acos 0x1p-115
+acos 0x1p-120
+acos -0x1p-5
+acos -0x1p-25
+acos -0x1p-45
+acos -0x1p-65
+acos -0x1p-85
+acos -0x1p-105
+acos -0x1p-125
acos min
acos -min
acos min_subnorm
diff --git a/math/auto-libm-test-out b/math/auto-libm-test-out
index 67804a5c71..27322e8541 100644
--- a/math/auto-libm-test-out
+++ b/math/auto-libm-test-out
@@ -839,6 +839,781 @@ acos -0x0.ffffffffffffffffp0
= acos tonearest ldbl-128ibm -0xf.fffffffffffffffp-4L : 0x3.243f6a871b99226b1f5cc12532p+0L : inexact-ok
= acos towardzero ldbl-128ibm -0xf.fffffffffffffffp-4L : 0x3.243f6a871b99226b1f5cc12532p+0L : inexact-ok
= acos upward ldbl-128ibm -0xf.fffffffffffffffp-4L : 0x3.243f6a871b99226b1f5cc12533p+0L : inexact-ok
+acos 0x1p-5
+= acos downward flt-32 0x8p-8f : 0x1.8a1f5ep+0f : inexact-ok
+= acos tonearest flt-32 0x8p-8f : 0x1.8a1f6p+0f : inexact-ok
+= acos towardzero flt-32 0x8p-8f : 0x1.8a1f5ep+0f : inexact-ok
+= acos upward flt-32 0x8p-8f : 0x1.8a1f6p+0f : inexact-ok
+= acos downward dbl-64 0x8p-8 : 0x1.8a1f5fe55274ap+0 : inexact-ok
+= acos tonearest dbl-64 0x8p-8 : 0x1.8a1f5fe55274ap+0 : inexact-ok
+= acos towardzero dbl-64 0x8p-8 : 0x1.8a1f5fe55274ap+0 : inexact-ok
+= acos upward dbl-64 0x8p-8 : 0x1.8a1f5fe55274bp+0 : inexact-ok
+= acos downward ldbl-96-intel 0x8p-8L : 0x1.8a1f5fe55274a05ap+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x8p-8L : 0x1.8a1f5fe55274a05ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x8p-8L : 0x1.8a1f5fe55274a05ap+0L : inexact-ok
+= acos upward ldbl-96-intel 0x8p-8L : 0x1.8a1f5fe55274a05cp+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x8p-8L : 0x1.8a1f5fe55274a05ap+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x8p-8L : 0x1.8a1f5fe55274a05ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x8p-8L : 0x1.8a1f5fe55274a05ap+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x8p-8L : 0x1.8a1f5fe55274a05cp+0L : inexact-ok
+= acos downward ldbl-128 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a890fc3p+0L : inexact-ok
+= acos tonearest ldbl-128 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a890fc4p+0L : inexact-ok
+= acos towardzero ldbl-128 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a890fc3p+0L : inexact-ok
+= acos upward ldbl-128 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a890fc4p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a890f8p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a891p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a890f8p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a891p+0L : inexact-ok
+acos 0x1p-10
+= acos downward flt-32 0x4p-12f : 0x1.91dfb4p+0f : inexact-ok
+= acos tonearest flt-32 0x4p-12f : 0x1.91dfb6p+0f : inexact-ok
+= acos towardzero flt-32 0x4p-12f : 0x1.91dfb4p+0f : inexact-ok
+= acos upward flt-32 0x4p-12f : 0x1.91dfb6p+0f : inexact-ok
+= acos downward dbl-64 0x4p-12 : 0x1.91dfb5439826dp+0 : inexact-ok
+= acos tonearest dbl-64 0x4p-12 : 0x1.91dfb5439826dp+0 : inexact-ok
+= acos towardzero dbl-64 0x4p-12 : 0x1.91dfb5439826dp+0 : inexact-ok
+= acos upward dbl-64 0x4p-12 : 0x1.91dfb5439826ep+0 : inexact-ok
+= acos downward ldbl-96-intel 0x4p-12L : 0x1.91dfb5439826d4f2p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x4p-12L : 0x1.91dfb5439826d4f2p+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x4p-12L : 0x1.91dfb5439826d4f2p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x4p-12L : 0x1.91dfb5439826d4f4p+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x4p-12L : 0x1.91dfb5439826d4f2p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x4p-12L : 0x1.91dfb5439826d4f2p+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x4p-12L : 0x1.91dfb5439826d4f2p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x4p-12L : 0x1.91dfb5439826d4f4p+0L : inexact-ok
+= acos downward ldbl-128 0x4p-12L : 0x1.91dfb5439826d4f211e796c22ac2p+0L : inexact-ok
+= acos tonearest ldbl-128 0x4p-12L : 0x1.91dfb5439826d4f211e796c22ac3p+0L : inexact-ok
+= acos towardzero ldbl-128 0x4p-12L : 0x1.91dfb5439826d4f211e796c22ac2p+0L : inexact-ok
+= acos upward ldbl-128 0x4p-12L : 0x1.91dfb5439826d4f211e796c22ac3p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x4p-12L : 0x1.91dfb5439826d4f211e796c22a8p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x4p-12L : 0x1.91dfb5439826d4f211e796c22bp+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x4p-12L : 0x1.91dfb5439826d4f211e796c22a8p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x4p-12L : 0x1.91dfb5439826d4f211e796c22bp+0L : inexact-ok
+acos 0x1p-15
+= acos downward flt-32 0x2p-16f : 0x1.921db4p+0f : inexact-ok
+= acos tonearest flt-32 0x2p-16f : 0x1.921db6p+0f : inexact-ok
+= acos towardzero flt-32 0x2p-16f : 0x1.921db4p+0f : inexact-ok
+= acos upward flt-32 0x2p-16f : 0x1.921db6p+0f : inexact-ok
+= acos downward dbl-64 0x2p-16 : 0x1.921db54442d02p+0 : inexact-ok
+= acos tonearest dbl-64 0x2p-16 : 0x1.921db54442d03p+0 : inexact-ok
+= acos towardzero dbl-64 0x2p-16 : 0x1.921db54442d02p+0 : inexact-ok
+= acos upward dbl-64 0x2p-16 : 0x1.921db54442d03p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x2p-16L : 0x1.921db54442d02f14p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x2p-16L : 0x1.921db54442d02f14p+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x2p-16L : 0x1.921db54442d02f14p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x2p-16L : 0x1.921db54442d02f16p+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x2p-16L : 0x1.921db54442d02f14p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x2p-16L : 0x1.921db54442d02f14p+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x2p-16L : 0x1.921db54442d02f14p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x2p-16L : 0x1.921db54442d02f16p+0L : inexact-ok
+= acos downward ldbl-128 0x2p-16L : 0x1.921db54442d02f143435095b45f6p+0L : inexact-ok
+= acos tonearest ldbl-128 0x2p-16L : 0x1.921db54442d02f143435095b45f7p+0L : inexact-ok
+= acos towardzero ldbl-128 0x2p-16L : 0x1.921db54442d02f143435095b45f6p+0L : inexact-ok
+= acos upward ldbl-128 0x2p-16L : 0x1.921db54442d02f143435095b45f7p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x2p-16L : 0x1.921db54442d02f143435095b458p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x2p-16L : 0x1.921db54442d02f143435095b46p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x2p-16L : 0x1.921db54442d02f143435095b458p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x2p-16L : 0x1.921db54442d02f143435095b46p+0L : inexact-ok
+acos 0x1p-20
+= acos downward flt-32 0x1p-20f : 0x1.921fa4p+0f : inexact-ok
+= acos tonearest flt-32 0x1p-20f : 0x1.921fa6p+0f : inexact-ok
+= acos towardzero flt-32 0x1p-20f : 0x1.921fa4p+0f : inexact-ok
+= acos upward flt-32 0x1p-20f : 0x1.921fa6p+0f : inexact-ok
+= acos downward dbl-64 0x1p-20 : 0x1.921fa54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x1p-20 : 0x1.921fa54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x1p-20 : 0x1.921fa54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x1p-20 : 0x1.921fa54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x1p-20L : 0x1.921fa54442d18466p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x1p-20L : 0x1.921fa54442d18466p+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x1p-20L : 0x1.921fa54442d18466p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x1p-20L : 0x1.921fa54442d18468p+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x1p-20L : 0x1.921fa54442d18466p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x1p-20L : 0x1.921fa54442d18466p+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x1p-20L : 0x1.921fa54442d18466p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x1p-20L : 0x1.921fa54442d18468p+0L : inexact-ok
+= acos downward ldbl-128 0x1p-20L : 0x1.921fa54442d18466dee21a6c55dap+0L : inexact-ok
+= acos tonearest ldbl-128 0x1p-20L : 0x1.921fa54442d18466dee21a6c55dap+0L : inexact-ok
+= acos towardzero ldbl-128 0x1p-20L : 0x1.921fa54442d18466dee21a6c55dap+0L : inexact-ok
+= acos upward ldbl-128 0x1p-20L : 0x1.921fa54442d18466dee21a6c55dbp+0L : inexact-ok
+= acos downward ldbl-128ibm 0x1p-20L : 0x1.921fa54442d18466dee21a6c558p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x1p-20L : 0x1.921fa54442d18466dee21a6c56p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x1p-20L : 0x1.921fa54442d18466dee21a6c558p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x1p-20L : 0x1.921fa54442d18466dee21a6c56p+0L : inexact-ok
+acos 0x1p-25
+= acos downward flt-32 0x8p-28f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x8p-28f : 0x1.921fb4p+0f : inexact-ok
+= acos towardzero flt-32 0x8p-28f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x8p-28f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x8p-28 : 0x1.921fb4c442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x8p-28 : 0x1.921fb4c442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x8p-28 : 0x1.921fb4c442d18p+0 : inexact-ok
+= acos upward dbl-64 0x8p-28 : 0x1.921fb4c442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x8p-28L : 0x1.921fb4c442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x8p-28L : 0x1.921fb4c442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x8p-28L : 0x1.921fb4c442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x8p-28L : 0x1.921fb4c442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x8p-28L : 0x1.921fb4c442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x8p-28L : 0x1.921fb4c442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x8p-28L : 0x1.921fb4c442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x8p-28L : 0x1.921fb4c442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x8p-28L : 0x1.921fb4c442d1846989876fc1ac62p+0L : inexact-ok
+= acos tonearest ldbl-128 0x8p-28L : 0x1.921fb4c442d1846989876fc1ac63p+0L : inexact-ok
+= acos towardzero ldbl-128 0x8p-28L : 0x1.921fb4c442d1846989876fc1ac62p+0L : inexact-ok
+= acos upward ldbl-128 0x8p-28L : 0x1.921fb4c442d1846989876fc1ac63p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x8p-28L : 0x1.921fb4c442d1846989876fc1acp+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x8p-28L : 0x1.921fb4c442d1846989876fc1ac8p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x8p-28L : 0x1.921fb4c442d1846989876fc1acp+0L : inexact-ok
+= acos upward ldbl-128ibm 0x8p-28L : 0x1.921fb4c442d1846989876fc1ac8p+0L : inexact-ok
+acos 0x1p-30
+= acos downward flt-32 0x4p-32f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x4p-32f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x4p-32f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x4p-32f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x4p-32 : 0x1.921fb54042d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x4p-32 : 0x1.921fb54042d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x4p-32 : 0x1.921fb54042d18p+0 : inexact-ok
+= acos upward dbl-64 0x4p-32 : 0x1.921fb54042d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x4p-32L : 0x1.921fb54042d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x4p-32L : 0x1.921fb54042d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x4p-32L : 0x1.921fb54042d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x4p-32L : 0x1.921fb54042d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x4p-32L : 0x1.921fb54042d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x4p-32L : 0x1.921fb54042d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x4p-32L : 0x1.921fb54042d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x4p-32L : 0x1.921fb54042d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x4p-32L : 0x1.921fb54042d18469898cc50c570dp+0L : inexact-ok
+= acos tonearest ldbl-128 0x4p-32L : 0x1.921fb54042d18469898cc50c570ep+0L : inexact-ok
+= acos towardzero ldbl-128 0x4p-32L : 0x1.921fb54042d18469898cc50c570dp+0L : inexact-ok
+= acos upward ldbl-128 0x4p-32L : 0x1.921fb54042d18469898cc50c570ep+0L : inexact-ok
+= acos downward ldbl-128ibm 0x4p-32L : 0x1.921fb54042d18469898cc50c57p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x4p-32L : 0x1.921fb54042d18469898cc50c57p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x4p-32L : 0x1.921fb54042d18469898cc50c57p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x4p-32L : 0x1.921fb54042d18469898cc50c578p+0L : inexact-ok
+acos 0x1p-35
+= acos downward flt-32 0x2p-36f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x2p-36f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x2p-36f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x2p-36f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x2p-36 : 0x1.921fb54422d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x2p-36 : 0x1.921fb54422d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x2p-36 : 0x1.921fb54422d18p+0 : inexact-ok
+= acos upward dbl-64 0x2p-36 : 0x1.921fb54422d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x2p-36L : 0x1.921fb54422d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x2p-36L : 0x1.921fb54422d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x2p-36L : 0x1.921fb54422d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x2p-36L : 0x1.921fb54422d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x2p-36L : 0x1.921fb54422d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x2p-36L : 0x1.921fb54422d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x2p-36L : 0x1.921fb54422d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x2p-36L : 0x1.921fb54422d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x2p-36L : 0x1.921fb54422d18469898cc51701a2p+0L : inexact-ok
+= acos tonearest ldbl-128 0x2p-36L : 0x1.921fb54422d18469898cc51701a3p+0L : inexact-ok
+= acos towardzero ldbl-128 0x2p-36L : 0x1.921fb54422d18469898cc51701a2p+0L : inexact-ok
+= acos upward ldbl-128 0x2p-36L : 0x1.921fb54422d18469898cc51701a3p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x2p-36L : 0x1.921fb54422d18469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x2p-36L : 0x1.921fb54422d18469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x2p-36L : 0x1.921fb54422d18469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x2p-36L : 0x1.921fb54422d18469898cc51702p+0L : inexact-ok
+acos 0x1p-40
+= acos downward flt-32 0x1p-40f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x1p-40f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x1p-40f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x1p-40f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x1p-40 : 0x1.921fb54441d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x1p-40 : 0x1.921fb54441d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x1p-40 : 0x1.921fb54441d18p+0 : inexact-ok
+= acos upward dbl-64 0x1p-40 : 0x1.921fb54441d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x1p-40L : 0x1.921fb54441d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x1p-40L : 0x1.921fb54441d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x1p-40L : 0x1.921fb54441d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x1p-40L : 0x1.921fb54441d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x1p-40L : 0x1.921fb54441d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x1p-40L : 0x1.921fb54441d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x1p-40L : 0x1.921fb54441d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x1p-40L : 0x1.921fb54441d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x1p-40L : 0x1.921fb54441d18469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x1p-40L : 0x1.921fb54441d18469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x1p-40L : 0x1.921fb54441d18469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x1p-40L : 0x1.921fb54441d18469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x1p-40L : 0x1.921fb54441d18469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x1p-40L : 0x1.921fb54441d18469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x1p-40L : 0x1.921fb54441d18469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x1p-40L : 0x1.921fb54441d18469898cc51702p+0L : inexact-ok
+acos 0x1p-45
+= acos downward flt-32 0x8p-48f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x8p-48f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x8p-48f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x8p-48f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x8p-48 : 0x1.921fb54442c98p+0 : inexact-ok
+= acos tonearest dbl-64 0x8p-48 : 0x1.921fb54442c98p+0 : inexact-ok
+= acos towardzero dbl-64 0x8p-48 : 0x1.921fb54442c98p+0 : inexact-ok
+= acos upward dbl-64 0x8p-48 : 0x1.921fb54442c99p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x8p-48L : 0x1.921fb54442c98468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x8p-48L : 0x1.921fb54442c9846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x8p-48L : 0x1.921fb54442c98468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x8p-48L : 0x1.921fb54442c9846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x8p-48L : 0x1.921fb54442c98468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x8p-48L : 0x1.921fb54442c9846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x8p-48L : 0x1.921fb54442c98468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x8p-48L : 0x1.921fb54442c9846ap+0L : inexact-ok
+= acos downward ldbl-128 0x8p-48L : 0x1.921fb54442c98469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x8p-48L : 0x1.921fb54442c98469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x8p-48L : 0x1.921fb54442c98469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x8p-48L : 0x1.921fb54442c98469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x8p-48L : 0x1.921fb54442c98469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x8p-48L : 0x1.921fb54442c98469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x8p-48L : 0x1.921fb54442c98469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x8p-48L : 0x1.921fb54442c98469898cc51702p+0L : inexact-ok
+acos 0x1p-50
+= acos downward flt-32 0x4p-52f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x4p-52f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x4p-52f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x4p-52f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x4p-52 : 0x1.921fb54442d14p+0 : inexact-ok
+= acos tonearest dbl-64 0x4p-52 : 0x1.921fb54442d14p+0 : inexact-ok
+= acos towardzero dbl-64 0x4p-52 : 0x1.921fb54442d14p+0 : inexact-ok
+= acos upward dbl-64 0x4p-52 : 0x1.921fb54442d15p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x4p-52L : 0x1.921fb54442d14468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x4p-52L : 0x1.921fb54442d1446ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x4p-52L : 0x1.921fb54442d14468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x4p-52L : 0x1.921fb54442d1446ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x4p-52L : 0x1.921fb54442d14468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x4p-52L : 0x1.921fb54442d1446ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x4p-52L : 0x1.921fb54442d14468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x4p-52L : 0x1.921fb54442d1446ap+0L : inexact-ok
+= acos downward ldbl-128 0x4p-52L : 0x1.921fb54442d14469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x4p-52L : 0x1.921fb54442d14469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x4p-52L : 0x1.921fb54442d14469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x4p-52L : 0x1.921fb54442d14469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x4p-52L : 0x1.921fb54442d14469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x4p-52L : 0x1.921fb54442d14469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x4p-52L : 0x1.921fb54442d14469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x4p-52L : 0x1.921fb54442d14469898cc51702p+0L : inexact-ok
+acos 0x1p-55
+= acos downward flt-32 0x2p-56f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x2p-56f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x2p-56f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x2p-56f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x2p-56 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x2p-56 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x2p-56 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x2p-56 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x2p-56L : 0x1.921fb54442d18268p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x2p-56L : 0x1.921fb54442d1826ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x2p-56L : 0x1.921fb54442d18268p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x2p-56L : 0x1.921fb54442d1826ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x2p-56L : 0x1.921fb54442d18268p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x2p-56L : 0x1.921fb54442d1826ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x2p-56L : 0x1.921fb54442d18268p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x2p-56L : 0x1.921fb54442d1826ap+0L : inexact-ok
+= acos downward ldbl-128 0x2p-56L : 0x1.921fb54442d18269898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x2p-56L : 0x1.921fb54442d18269898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x2p-56L : 0x1.921fb54442d18269898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x2p-56L : 0x1.921fb54442d18269898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x2p-56L : 0x1.921fb54442d18269898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x2p-56L : 0x1.921fb54442d18269898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x2p-56L : 0x1.921fb54442d18269898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x2p-56L : 0x1.921fb54442d18269898cc51702p+0L : inexact-ok
+acos 0x1p-60
+= acos downward flt-32 0x1p-60f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x1p-60f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x1p-60f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x1p-60f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x1p-60 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x1p-60 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x1p-60 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x1p-60 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x1p-60L : 0x1.921fb54442d18458p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x1p-60L : 0x1.921fb54442d1845ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x1p-60L : 0x1.921fb54442d18458p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x1p-60L : 0x1.921fb54442d1845ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x1p-60L : 0x1.921fb54442d18458p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x1p-60L : 0x1.921fb54442d1845ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x1p-60L : 0x1.921fb54442d18458p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x1p-60L : 0x1.921fb54442d1845ap+0L : inexact-ok
+= acos downward ldbl-128 0x1p-60L : 0x1.921fb54442d18459898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x1p-60L : 0x1.921fb54442d18459898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x1p-60L : 0x1.921fb54442d18459898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x1p-60L : 0x1.921fb54442d18459898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x1p-60L : 0x1.921fb54442d18459898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x1p-60L : 0x1.921fb54442d18459898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x1p-60L : 0x1.921fb54442d18459898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x1p-60L : 0x1.921fb54442d18459898cc51702p+0L : inexact-ok
+acos 0x1p-65
+= acos downward flt-32 0x8p-68f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x8p-68f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x8p-68f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x8p-68f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x8p-68 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x8p-68 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x8p-68 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x8p-68 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x8p-68L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x8p-68L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x8p-68L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x8p-68L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x8p-68L : 0x1.921fb54442d18469098cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x8p-68L : 0x1.921fb54442d18469098cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x8p-68L : 0x1.921fb54442d18469098cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x8p-68L : 0x1.921fb54442d18469098cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x8p-68L : 0x1.921fb54442d18469098cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x8p-68L : 0x1.921fb54442d18469098cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x8p-68L : 0x1.921fb54442d18469098cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x8p-68L : 0x1.921fb54442d18469098cc51702p+0L : inexact-ok
+acos 0x1p-70
+= acos downward flt-32 0x4p-72f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x4p-72f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x4p-72f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x4p-72f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x4p-72 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x4p-72 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x4p-72 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x4p-72 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x4p-72L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x4p-72L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x4p-72L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x4p-72L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x4p-72L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x4p-72L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x4p-72L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x4p-72L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x4p-72L : 0x1.921fb54442d18469858cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x4p-72L : 0x1.921fb54442d18469858cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x4p-72L : 0x1.921fb54442d18469858cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x4p-72L : 0x1.921fb54442d18469858cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x4p-72L : 0x1.921fb54442d18469858cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x4p-72L : 0x1.921fb54442d18469858cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x4p-72L : 0x1.921fb54442d18469858cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x4p-72L : 0x1.921fb54442d18469858cc51702p+0L : inexact-ok
+acos 0x1p-75
+= acos downward flt-32 0x2p-76f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x2p-76f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x2p-76f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x2p-76f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x2p-76 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x2p-76 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x2p-76 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x2p-76 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x2p-76L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x2p-76L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x2p-76L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x2p-76L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x2p-76L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x2p-76L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x2p-76L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x2p-76L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x2p-76L : 0x1.921fb54442d18469896cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x2p-76L : 0x1.921fb54442d18469896cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x2p-76L : 0x1.921fb54442d18469896cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x2p-76L : 0x1.921fb54442d18469896cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x2p-76L : 0x1.921fb54442d18469896cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x2p-76L : 0x1.921fb54442d18469896cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x2p-76L : 0x1.921fb54442d18469896cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x2p-76L : 0x1.921fb54442d18469896cc51702p+0L : inexact-ok
+acos 0x1p-80
+= acos downward flt-32 0x1p-80f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x1p-80f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x1p-80f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x1p-80f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x1p-80 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x1p-80 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x1p-80 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x1p-80 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x1p-80L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x1p-80L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x1p-80L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x1p-80L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x1p-80L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x1p-80L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x1p-80L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x1p-80L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x1p-80L : 0x1.921fb54442d18469898bc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x1p-80L : 0x1.921fb54442d18469898bc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x1p-80L : 0x1.921fb54442d18469898bc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x1p-80L : 0x1.921fb54442d18469898bc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x1p-80L : 0x1.921fb54442d18469898bc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x1p-80L : 0x1.921fb54442d18469898bc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x1p-80L : 0x1.921fb54442d18469898bc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x1p-80L : 0x1.921fb54442d18469898bc51702p+0L : inexact-ok
+acos 0x1p-85
+= acos downward flt-32 0x8p-88f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x8p-88f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x8p-88f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x8p-88f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x8p-88 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x8p-88 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x8p-88 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x8p-88 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x8p-88L : 0x1.921fb54442d18469898cbd1701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x8p-88L : 0x1.921fb54442d18469898cbd1701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x8p-88L : 0x1.921fb54442d18469898cbd1701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x8p-88L : 0x1.921fb54442d18469898cbd1701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x8p-88L : 0x1.921fb54442d18469898cbd17018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x8p-88L : 0x1.921fb54442d18469898cbd17018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x8p-88L : 0x1.921fb54442d18469898cbd17018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x8p-88L : 0x1.921fb54442d18469898cbd1702p+0L : inexact-ok
+acos 0x1p-90
+= acos downward flt-32 0x4p-92f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x4p-92f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x4p-92f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x4p-92f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x4p-92 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x4p-92 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x4p-92 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x4p-92 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x4p-92L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x4p-92L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x4p-92L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x4p-92L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x4p-92L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x4p-92L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x4p-92L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x4p-92L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x4p-92L : 0x1.921fb54442d18469898cc4d701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x4p-92L : 0x1.921fb54442d18469898cc4d701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x4p-92L : 0x1.921fb54442d18469898cc4d701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x4p-92L : 0x1.921fb54442d18469898cc4d701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x4p-92L : 0x1.921fb54442d18469898cc4d7018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x4p-92L : 0x1.921fb54442d18469898cc4d7018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x4p-92L : 0x1.921fb54442d18469898cc4d7018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x4p-92L : 0x1.921fb54442d18469898cc4d702p+0L : inexact-ok
+acos 0x1p-95
+= acos downward flt-32 0x2p-96f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x2p-96f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x2p-96f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x2p-96f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x2p-96 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x2p-96 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x2p-96 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x2p-96 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x2p-96L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x2p-96L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x2p-96L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x2p-96L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x2p-96L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x2p-96L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x2p-96L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x2p-96L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x2p-96L : 0x1.921fb54442d18469898cc51501b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x2p-96L : 0x1.921fb54442d18469898cc51501b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x2p-96L : 0x1.921fb54442d18469898cc51501b8p+0L : inexact-ok
+= acos upward ldbl-128 0x2p-96L : 0x1.921fb54442d18469898cc51501b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x2p-96L : 0x1.921fb54442d18469898cc515018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x2p-96L : 0x1.921fb54442d18469898cc515018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x2p-96L : 0x1.921fb54442d18469898cc515018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x2p-96L : 0x1.921fb54442d18469898cc51502p+0L : inexact-ok
+acos 0x1p-100
+= acos downward flt-32 0x1p-100f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x1p-100f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x1p-100f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x1p-100f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x1p-100 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x1p-100 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x1p-100 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x1p-100 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x1p-100L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x1p-100L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x1p-100L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x1p-100L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x1p-100L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x1p-100L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x1p-100L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x1p-100L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x1p-100L : 0x1.921fb54442d18469898cc516f1b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x1p-100L : 0x1.921fb54442d18469898cc516f1b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x1p-100L : 0x1.921fb54442d18469898cc516f1b8p+0L : inexact-ok
+= acos upward ldbl-128 0x1p-100L : 0x1.921fb54442d18469898cc516f1b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x1p-100L : 0x1.921fb54442d18469898cc516f18p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x1p-100L : 0x1.921fb54442d18469898cc516f18p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x1p-100L : 0x1.921fb54442d18469898cc516f18p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x1p-100L : 0x1.921fb54442d18469898cc516f2p+0L : inexact-ok
+acos 0x1p-105
+= acos downward flt-32 0x8p-108f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x8p-108f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x8p-108f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x8p-108f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x8p-108 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x8p-108 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x8p-108 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x8p-108 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x8p-108L : 0x1.921fb54442d18469898cc5170138p+0L : inexact-ok
+= acos tonearest ldbl-128 0x8p-108L : 0x1.921fb54442d18469898cc5170138p+0L : inexact-ok
+= acos towardzero ldbl-128 0x8p-108L : 0x1.921fb54442d18469898cc5170138p+0L : inexact-ok
+= acos upward ldbl-128 0x8p-108L : 0x1.921fb54442d18469898cc5170139p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x8p-108L : 0x1.921fb54442d18469898cc51701p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x8p-108L : 0x1.921fb54442d18469898cc51701p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x8p-108L : 0x1.921fb54442d18469898cc51701p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x8p-108L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+acos 0x1p-110
+= acos downward flt-32 0x4p-112f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x4p-112f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x4p-112f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x4p-112f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x4p-112 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x4p-112 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x4p-112 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x4p-112 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x4p-112L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x4p-112L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x4p-112L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x4p-112L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x4p-112L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x4p-112L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x4p-112L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x4p-112L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x4p-112L : 0x1.921fb54442d18469898cc51701b4p+0L : inexact-ok
+= acos tonearest ldbl-128 0x4p-112L : 0x1.921fb54442d18469898cc51701b4p+0L : inexact-ok
+= acos towardzero ldbl-128 0x4p-112L : 0x1.921fb54442d18469898cc51701b4p+0L : inexact-ok
+= acos upward ldbl-128 0x4p-112L : 0x1.921fb54442d18469898cc51701b5p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x4p-112L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x4p-112L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x4p-112L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x4p-112L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
+acos 0x1p-115
+= acos downward flt-32 0x2p-116f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x2p-116f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x2p-116f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x2p-116f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x2p-116 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x2p-116 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x2p-116 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x2p-116 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x2p-116L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x2p-116L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x2p-116L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x2p-116L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x2p-116L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x2p-116L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x2p-116L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x2p-116L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x2p-116L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x2p-116L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x2p-116L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x2p-116L : 0x1.921fb54442d18469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x2p-116L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x2p-116L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x2p-116L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x2p-116L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
+acos 0x1p-120
+= acos downward flt-32 0x1p-120f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x1p-120f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x1p-120f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x1p-120f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x1p-120 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x1p-120 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x1p-120 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x1p-120 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x1p-120L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x1p-120L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x1p-120L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x1p-120L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x1p-120L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x1p-120L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x1p-120L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x1p-120L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x1p-120L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x1p-120L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x1p-120L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x1p-120L : 0x1.921fb54442d18469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x1p-120L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x1p-120L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x1p-120L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x1p-120L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
+acos -0x1p-5
+= acos downward flt-32 -0x8p-8f : 0x1.9a200ap+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-8f : 0x1.9a200ap+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-8f : 0x1.9a200ap+0f : inexact-ok
+= acos upward flt-32 -0x8p-8f : 0x1.9a200cp+0f : inexact-ok
+= acos downward dbl-64 -0x8p-8 : 0x1.9a200aa3332e6p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-8 : 0x1.9a200aa3332e7p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-8 : 0x1.9a200aa3332e6p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-8 : 0x1.9a200aa3332e7p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-8L : 0x1.9a200aa3332e6878p+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-8L : 0x1.9a200aa3332e6878p+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-8L : 0x1.9a200aa3332e6878p+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-8L : 0x1.9a200aa3332e687ap+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-8L : 0x1.9a200aa3332e6878p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-8L : 0x1.9a200aa3332e6878p+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-8L : 0x1.9a200aa3332e6878p+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-8L : 0x1.9a200aa3332e687ap+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-8L : 0x1.9a200aa3332e68784056efa4f3acp+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-8L : 0x1.9a200aa3332e68784056efa4f3adp+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-8L : 0x1.9a200aa3332e68784056efa4f3acp+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-8L : 0x1.9a200aa3332e68784056efa4f3adp+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-8L : 0x1.9a200aa3332e68784056efa4f38p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-8L : 0x1.9a200aa3332e68784056efa4f38p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-8L : 0x1.9a200aa3332e68784056efa4f38p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-8L : 0x1.9a200aa3332e68784056efa4f4p+0L : inexact-ok
+acos -0x1p-25
+= acos downward flt-32 -0x8p-28f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-28f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-28f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 -0x8p-28f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 -0x8p-28 : 0x1.921fb5c442d18p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-28 : 0x1.921fb5c442d18p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-28 : 0x1.921fb5c442d18p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-28 : 0x1.921fb5c442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-28L : 0x1.921fb5c442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-28L : 0x1.921fb5c442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-28L : 0x1.921fb5c442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-28L : 0x1.921fb5c442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-28L : 0x1.921fb5c442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-28L : 0x1.921fb5c442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-28L : 0x1.921fb5c442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-28L : 0x1.921fb5c442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-28L : 0x1.921fb5c442d1846989921a6c570dp+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-28L : 0x1.921fb5c442d1846989921a6c570ep+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-28L : 0x1.921fb5c442d1846989921a6c570dp+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-28L : 0x1.921fb5c442d1846989921a6c570ep+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-28L : 0x1.921fb5c442d1846989921a6c57p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-28L : 0x1.921fb5c442d1846989921a6c57p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-28L : 0x1.921fb5c442d1846989921a6c57p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-28L : 0x1.921fb5c442d1846989921a6c578p+0L : inexact-ok
+acos -0x1p-45
+= acos downward flt-32 -0x8p-48f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-48f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-48f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 -0x8p-48f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 -0x8p-48 : 0x1.921fb54442d98p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-48 : 0x1.921fb54442d98p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-48 : 0x1.921fb54442d98p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-48 : 0x1.921fb54442d99p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-48L : 0x1.921fb54442d98468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-48L : 0x1.921fb54442d9846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-48L : 0x1.921fb54442d98468p+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-48L : 0x1.921fb54442d9846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-48L : 0x1.921fb54442d98468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-48L : 0x1.921fb54442d9846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-48L : 0x1.921fb54442d98468p+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-48L : 0x1.921fb54442d9846ap+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-48L : 0x1.921fb54442d98469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-48L : 0x1.921fb54442d98469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-48L : 0x1.921fb54442d98469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-48L : 0x1.921fb54442d98469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-48L : 0x1.921fb54442d98469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-48L : 0x1.921fb54442d98469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-48L : 0x1.921fb54442d98469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-48L : 0x1.921fb54442d98469898cc51702p+0L : inexact-ok
+acos -0x1p-65
+= acos downward flt-32 -0x8p-68f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-68f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-68f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 -0x8p-68f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 -0x8p-68 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-68 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-68 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-68 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-68L : 0x1.921fb54442d1846cp+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-68L : 0x1.921fb54442d1846cp+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-68L : 0x1.921fb54442d1846a098cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-68L : 0x1.921fb54442d1846a098cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-68L : 0x1.921fb54442d1846a098cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-68L : 0x1.921fb54442d1846a098cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-68L : 0x1.921fb54442d1846a098cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-68L : 0x1.921fb54442d1846a098cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-68L : 0x1.921fb54442d1846a098cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-68L : 0x1.921fb54442d1846a098cc51702p+0L : inexact-ok
+acos -0x1p-85
+= acos downward flt-32 -0x8p-88f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-88f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-88f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 -0x8p-88f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 -0x8p-88 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-88 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-88 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-88 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-88L : 0x1.921fb54442d18469898ccd1701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-88L : 0x1.921fb54442d18469898ccd1701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-88L : 0x1.921fb54442d18469898ccd1701b8p+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-88L : 0x1.921fb54442d18469898ccd1701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-88L : 0x1.921fb54442d18469898ccd17018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-88L : 0x1.921fb54442d18469898ccd17018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-88L : 0x1.921fb54442d18469898ccd17018p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-88L : 0x1.921fb54442d18469898ccd1702p+0L : inexact-ok
+acos -0x1p-105
+= acos downward flt-32 -0x8p-108f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-108f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-108f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 -0x8p-108f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 -0x8p-108 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-108 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-108 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-108 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-108L : 0x1.921fb54442d18469898cc5170238p+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-108L : 0x1.921fb54442d18469898cc5170238p+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-108L : 0x1.921fb54442d18469898cc5170238p+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-108L : 0x1.921fb54442d18469898cc5170239p+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-108L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-108L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-108L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-108L : 0x1.921fb54442d18469898cc517028p+0L : inexact-ok
+acos -0x1p-125
+= acos downward flt-32 -0x8p-128f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-128f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-128f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 -0x8p-128f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 -0x8p-128 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-128 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-128 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-128 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-128L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-128L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-128L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-128L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-128L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-128L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-128L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-128L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-128L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-128L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-128L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-128L : 0x1.921fb54442d18469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-128L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-128L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-128L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-128L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
acos min
= acos downward flt-32 0x4p-128f : 0x1.921fb4p+0f : inexact-ok
= acos tonearest flt-32 0x4p-128f : 0x1.921fb6p+0f : inexact-ok
diff --git a/sysdeps/ieee754/ldbl-128/e_acosl.c b/sysdeps/ieee754/ldbl-128/e_acosl.c
index 28c94ed404..8c8ec93339 100644
--- a/sysdeps/ieee754/ldbl-128/e_acosl.c
+++ b/sysdeps/ieee754/ldbl-128/e_acosl.c
@@ -173,7 +173,7 @@ __ieee754_acosl (long double x)
}
else if (ix < 0x3ffe0000) /* |x| < 0.5 */
{
- if (ix < 0x3fc60000) /* |x| < 2**-57 */
+ if (ix < 0x3f8e0000) /* |x| < 2**-113 */
return pio2_hi + pio2_lo;
if (ix < 0x3ffde000) /* |x| < .4375 */
{
diff --git a/sysdeps/ieee754/ldbl-128ibm/e_acosl.c b/sysdeps/ieee754/ldbl-128ibm/e_acosl.c
index 2cb288238b..e5030f1b52 100644
--- a/sysdeps/ieee754/ldbl-128ibm/e_acosl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/e_acosl.c
@@ -169,7 +169,7 @@ __ieee754_acosl (long double x)
}
if (a < 0.5L)
{
- if (a < 6.938893903907228e-18L) /* |x| < 2**-57 */
+ if (a < 0x1p-106L)
return pio2_hi + pio2_lo;
if (a < 0.4375L)
{