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Diffstat (limited to 'REORG.TODO/sysdeps/ieee754/ldbl-96/e_coshl.c')
| -rw-r--r-- | REORG.TODO/sysdeps/ieee754/ldbl-96/e_coshl.c | 87 |
1 files changed, 87 insertions, 0 deletions
diff --git a/REORG.TODO/sysdeps/ieee754/ldbl-96/e_coshl.c b/REORG.TODO/sysdeps/ieee754/ldbl-96/e_coshl.c new file mode 100644 index 0000000000..dd22cae363 --- /dev/null +++ b/REORG.TODO/sysdeps/ieee754/ldbl-96/e_coshl.c @@ -0,0 +1,87 @@ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#if defined(LIBM_SCCS) && !defined(lint) +static char rcsid[] = "$NetBSD: e_cosh.c,v 1.7 1995/05/10 20:44:58 jtc Exp $"; +#endif + +/* __ieee754_coshl(x) + * Method : + * 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 + * 0 <= x <= ln2/2 : coshl(x) := 1 + ------------------- + * 2*exp(x) + * + * exp(x) + 1/exp(x) + * ln2/2 <= x <= 22 : coshl(x) := ------------------- + * 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) + * + * Special cases: + * coshl(x) is |x| if x is +INF, -INF, or NaN. + * only coshl(0)=1 is exact for finite x. + */ + +#include <math.h> +#include <math_private.h> + +static const long double one = 1.0, half=0.5, huge = 1.0e4900L; + +long double +__ieee754_coshl (long double x) +{ + long double t,w; + int32_t ex; + u_int32_t mx,lx; + + /* High word of |x|. */ + GET_LDOUBLE_WORDS(ex,mx,lx,x); + ex &= 0x7fff; + + /* |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)) { + if (ex<0x3fbc) return one; /* cosh(tiny) = 1 */ + t = __expm1l(fabsl(x)); + w = one+t; + 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; + } + + /* |x| in [22, ln(maxdouble)] return half*exp(|x|) */ + if (ex < 0x400c || (ex == 0x400c && mx < 0xb1700000u)) + return half*__ieee754_expl(fabsl(x)); + + /* |x| in [log(maxdouble), log(2*maxdouble)) */ + if (ex == 0x400c && (mx < 0xb174ddc0u + || (mx == 0xb174ddc0u && lx < 0x31aec0ebu))) + { + w = __ieee754_expl(half*fabsl(x)); + t = half*w; + 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) |