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authorJoseph Myers <joseph@codesourcery.com>2015-02-27 17:48:37 +0000
committerJoseph Myers <joseph@codesourcery.com>2015-02-27 17:48:37 +0000
commit2ca725c594e0c186d928dc0823be7d8b5976112c (patch)
tree8f477bda16d5f94bb925301798e653d3064ee75d /sysdeps
parentaf96be34825586536ebcfbf5c675e795ddd3c8fa (diff)
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Fix ldbl-96, ldbl-128ibm atanhl inaccuracy (bug 18046, bug 18047).
The threshold in ldbl-96 atanhl for when to return the argument, 0x1p-28, is a bit too big, and that in ldbl-128ibm atanhl is much too big (the relevant condition being x^3/3 being < 0.5ulp of x), resulting in errors a bit above the limits of those considered acceptable in glibc in the ldbl-96 case, and in large errors in the ldbl-128ibm case. This patch changes those implementations to use more appropriate thresholds and adds tests around the thresholds for various formats. Tested for x86_64, x86 and powerpc. x86_64 and x86 ulps updated accordingly. [BZ #18046] [BZ #18047] * sysdeps/ieee754/ldbl-128ibm/e_atanhl.c (__ieee754_atanhl): Use 0x1p-56L as threshold for just returning the argument. * sysdeps/ieee754/ldbl-96/e_atanhl.c (__ieee754_atanhl): Use 0x1p-32L as threshold for just returning the argument. * math/auto-libm-test-in: Add more tests of atanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulp: Likewise.
Diffstat (limited to 'sysdeps')
-rw-r--r--sysdeps/i386/fpu/libm-test-ulps2
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/e_atanhl.c2
-rw-r--r--sysdeps/ieee754/ldbl-96/e_atanhl.c4
-rw-r--r--sysdeps/x86_64/fpu/libm-test-ulps4
4 files changed, 9 insertions, 3 deletions
diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps
index 3ba23a4..302ea4c 100644
--- a/sysdeps/i386/fpu/libm-test-ulps
+++ b/sysdeps/i386/fpu/libm-test-ulps
@@ -150,6 +150,8 @@ ildouble: 2
ldouble: 1
Function: "atanh_towardzero":
+double: 1
+float: 1
idouble: 1
ifloat: 1
ildouble: 4
diff --git a/sysdeps/ieee754/ldbl-128ibm/e_atanhl.c b/sysdeps/ieee754/ldbl-128ibm/e_atanhl.c
index 29f2e92..5a98999 100644
--- a/sysdeps/ieee754/ldbl-128ibm/e_atanhl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/e_atanhl.c
@@ -54,7 +54,7 @@ __ieee754_atanhl(long double x)
if (t == one)
return x/zero;
}
- if(ix<0x3e20000000000000LL&&(huge+x)>zero) return x; /* x<2**-29 */
+ if(ix<0x3c70000000000000LL&&(huge+x)>zero) return x; /* x<2**-56 */
x = fabsl (x);
if(ix<0x3fe0000000000000LL) { /* x < 0.5 */
t = x+x;
diff --git a/sysdeps/ieee754/ldbl-96/e_atanhl.c b/sysdeps/ieee754/ldbl-96/e_atanhl.c
index 4c29243..305d50e 100644
--- a/sysdeps/ieee754/ldbl-96/e_atanhl.c
+++ b/sysdeps/ieee754/ldbl-96/e_atanhl.c
@@ -52,9 +52,9 @@ __ieee754_atanhl(long double x)
return (x-x)/(x-x);
if(ix==0x3fff)
return x/zero;
- if(ix<0x3fe3) {
+ if(ix<0x3fdf) {
math_force_eval(huge+x);
- return x; /* x<2**-28 */
+ return x; /* x<2**-32 */
}
SET_LDOUBLE_EXP(x,ix);
if(ix<0x3ffe) { /* x < 0.5 */
diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps
index 7252929..5cfb73f 100644
--- a/sysdeps/x86_64/fpu/libm-test-ulps
+++ b/sysdeps/x86_64/fpu/libm-test-ulps
@@ -170,7 +170,9 @@ ildouble: 1
ldouble: 1
Function: "atanh":
+double: 1
float: 1
+idouble: 1
ifloat: 1
ildouble: 1
ldouble: 1
@@ -184,7 +186,9 @@ ildouble: 2
ldouble: 2
Function: "atanh_towardzero":
+double: 1
float: 1
+idouble: 1
ifloat: 1
ildouble: 2
ldouble: 2