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authorAndreas Schwab <schwab@linux-m68k.org>2012-03-05 20:19:14 +0100
committerAndreas Schwab <schwab@linux-m68k.org>2012-03-05 20:38:17 +0100
commitbbb78d030efd87ec37f7599d0f014de598eceae7 (patch)
treee2d0e520475094b44472f67bf17d1865d0df782f /sysdeps/ieee754/ldbl-128ibm
parent1c9f702a0778f1fb4f70ef9f34f69de070d19958 (diff)
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Fix loss of precision in cosh and sinh for IBM long double
Diffstat (limited to 'sysdeps/ieee754/ldbl-128ibm')
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/e_coshl.c10
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/e_sinhl.c10
2 files changed, 10 insertions, 10 deletions
diff --git a/sysdeps/ieee754/ldbl-128ibm/e_coshl.c b/sysdeps/ieee754/ldbl-128ibm/e_coshl.c
index ebc9436..569b841 100644
--- a/sysdeps/ieee754/ldbl-128ibm/e_coshl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/e_coshl.c
@@ -20,9 +20,9 @@
* 2*exp(x)
*
* exp(x) + 1/exp(x)
- * ln2/2 <= x <= 22 : cosh(x) := -------------------
+ * ln2/2 <= x <= 40 : cosh(x) := -------------------
* 2
- * 22 <= x <= lnovft : cosh(x) := exp(x)/2
+ * 40 <= x <= lnovft : cosh(x) := exp(x)/2
* lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2)
* ln2ovft < x : cosh(x) := huge*huge (overflow)
*
@@ -57,13 +57,13 @@ __ieee754_coshl (long double x)
return one+(t*t)/(w+w);
}
- /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
- if (ix < 0x4036000000000000LL) {
+ /* |x| in [0.5*ln2,40], return (exp(|x|)+1/exp(|x|)/2; */
+ if (ix < 0x4044000000000000LL) {
t = __ieee754_expl(fabsl(x));
return half*t+half/t;
}
- /* |x| in [22, log(maxdouble)] return half*exp(|x|) */
+ /* |x| in [40, log(maxdouble)] return half*exp(|x|) */
if (ix < 0x40862e42fefa39efLL) return half*__ieee754_expl(fabsl(x));
/* |x| in [log(maxdouble), overflowthresold] */
diff --git a/sysdeps/ieee754/ldbl-128ibm/e_sinhl.c b/sysdeps/ieee754/ldbl-128ibm/e_sinhl.c
index b8e86b1..4b53d90 100644
--- a/sysdeps/ieee754/ldbl-128ibm/e_sinhl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/e_sinhl.c
@@ -16,10 +16,10 @@
* 1. Replace x by |x| (sinh(-x) = -sinh(x)).
* 2.
* E + E/(E+1)
- * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x)
+ * 0 <= x <= 40 : sinh(x) := --------------, E=expm1(x)
* 2
*
- * 22 <= x <= lnovft : sinh(x) := exp(x)/2
+ * 40 <= x <= lnovft : sinh(x) := exp(x)/2
* lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2)
* ln2ovft < x : sinh(x) := x*shuge (overflow)
*
@@ -48,8 +48,8 @@ __ieee754_sinhl(long double x)
h = 0.5;
if (jx<0) h = -h;
- /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
- if (ix < 0x4036000000000000LL) { /* |x|<22 */
+ /* |x| in [0,40], return sign(x)*0.5*(E+E/(E+1))) */
+ if (ix < 0x4044000000000000LL) { /* |x|<40 */
if (ix<0x3e20000000000000LL) /* |x|<2**-29 */
if(shuge+x>one) return x;/* sinhl(tiny) = tiny with inexact */
t = __expm1l(fabsl(x));
@@ -57,7 +57,7 @@ __ieee754_sinhl(long double x)
return h*(t+t/(t+one));
}
- /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
+ /* |x| in [40, log(maxdouble)] return 0.5*exp(|x|) */
if (ix < 0x40862e42fefa39efLL) return h*__ieee754_expl(fabsl(x));
/* |x| in [log(maxdouble), overflowthresold] */