diff options
Diffstat (limited to 'sysdeps/ieee754/ldbl-96/e_coshl.c')
| -rw-r--r-- | sysdeps/ieee754/ldbl-96/e_coshl.c | 46 |
1 files changed, 20 insertions, 26 deletions
diff --git a/sysdeps/ieee754/ldbl-96/e_coshl.c b/sysdeps/ieee754/ldbl-96/e_coshl.c index 8c38fa4da2..6113f0719f 100644 --- a/sysdeps/ieee754/ldbl-96/e_coshl.c +++ b/sysdeps/ieee754/ldbl-96/e_coshl.c @@ -18,13 +18,13 @@ static char rcsid[] = "$NetBSD: e_cosh.c,v 1.7 1995/05/10 20:44:58 jtc Exp $"; * mathematically coshl(x) if defined to be (exp(x)+exp(-x))/2 * 1. Replace x by |x| (coshl(x) = coshl(-x)). * 2. - * [ exp(x) - 1 ]^2 + * [ exp(x) - 1 ]^2 * 0 <= x <= ln2/2 : coshl(x) := 1 + ------------------- - * 2*exp(x) + * 2*exp(x) * - * exp(x) + 1/exp(x) + * exp(x) + 1/exp(x) * ln2/2 <= x <= 22 : coshl(x) := ------------------- - * 2 + * 2 * 22 <= x <= lnovft : coshl(x) := expl(x)/2 * lnovft <= x <= ln2ovft: coshl(x) := expl(x/2)/2 * expl(x/2) * ln2ovft < x : coshl(x) := huge*huge (overflow) @@ -37,18 +37,10 @@ static char rcsid[] = "$NetBSD: e_cosh.c,v 1.7 1995/05/10 20:44:58 jtc Exp $"; #include "math.h" #include "math_private.h" -#ifdef __STDC__ static const long double one = 1.0, half=0.5, huge = 1.0e4900L; -#else -static long double one = 1.0, half=0.5, huge = 1.0e4900L; -#endif -#ifdef __STDC__ - long double __ieee754_coshl(long double x) -#else - long double __ieee754_coshl(x) - long double x; -#endif +long double +__ieee754_coshl (long double x) { long double t,w; int32_t ex; @@ -58,19 +50,17 @@ static long double one = 1.0, half=0.5, huge = 1.0e4900L; GET_LDOUBLE_WORDS(ex,mx,lx,x); ex &= 0x7fff; - /* x is INF or NaN */ - if(ex==0x7fff) return x*x; - - /* |x| in [0,0.5*ln2], return 1+expm1l(|x|)^2/(2*expl(|x|)) */ - if(ex < 0x3ffd || (ex == 0x3ffd && mx < 0xb17217f7u)) { - t = __expm1l(fabsl(x)); - w = one+t; - if (ex<0x3fbc) return w; /* cosh(tiny) = 1 */ - return one+(t*t)/(w+w); - } - - /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */ + /* |x| in [0,22] */ if (ex < 0x4003 || (ex == 0x4003 && mx < 0xb0000000u)) { + /* |x| in [0,0.5*ln2], return 1+expm1l(|x|)^2/(2*expl(|x|)) */ + if(ex < 0x3ffd || (ex == 0x3ffd && mx < 0xb17217f7u)) { + t = __expm1l(fabsl(x)); + w = one+t; + if (ex<0x3fbc) return w; /* cosh(tiny) = 1 */ + return one+(t*t)/(w+w); + } + + /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */ t = __ieee754_expl(fabsl(x)); return half*t+half/t; } @@ -88,6 +78,10 @@ static long double one = 1.0, half=0.5, huge = 1.0e4900L; return t*w; } + /* x is INF or NaN */ + if(ex==0x7fff) return x*x; + /* |x| >= log(2*maxdouble), cosh(x) overflow */ return huge*huge; } +strong_alias (__ieee754_coshl, __coshl_finite) |