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Diffstat (limited to 'REORG.TODO/sysdeps/ieee754/ldbl-128ibm/e_coshl.c')
-rw-r--r-- | REORG.TODO/sysdeps/ieee754/ldbl-128ibm/e_coshl.c | 81 |
1 files changed, 81 insertions, 0 deletions
diff --git a/REORG.TODO/sysdeps/ieee754/ldbl-128ibm/e_coshl.c b/REORG.TODO/sysdeps/ieee754/ldbl-128ibm/e_coshl.c new file mode 100644 index 0000000000..327b2ab960 --- /dev/null +++ b/REORG.TODO/sysdeps/ieee754/ldbl-128ibm/e_coshl.c @@ -0,0 +1,81 @@ +/* @(#)e_cosh.c 5.1 93/09/24 */ +/* + * ==================================================== + * 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. + * ==================================================== + */ + +/* __ieee754_cosh(x) + * Method : + * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2 + * 1. Replace x by |x| (cosh(x) = cosh(-x)). + * 2. + * [ exp(x) - 1 ]^2 + * 0 <= x <= ln2/2 : cosh(x) := 1 + ------------------- + * 2*exp(x) + * + * exp(x) + 1/exp(x) + * ln2/2 <= x <= 40 : cosh(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) + * + * Special cases: + * cosh(x) is |x| if x is +INF, -INF, or NaN. + * only cosh(0)=1 is exact for finite x. + */ + +#include <math.h> +#include <math_private.h> + +static const long double one = 1.0L, half=0.5L, huge = 1.0e300L; + +long double +__ieee754_coshl (long double x) +{ + long double t,w; + int64_t ix; + double xhi; + + /* High word of |x|. */ + xhi = ldbl_high (x); + EXTRACT_WORDS64 (ix, xhi); + ix &= 0x7fffffffffffffffLL; + + /* x is INF or NaN */ + if(ix>=0x7ff0000000000000LL) return x*x; + + /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */ + if(ix<0x3fd62e42fefa39efLL) { + if (ix<0x3c80000000000000LL) return one; /* cosh(tiny) = 1 */ + t = __expm1l(fabsl(x)); + w = one+t; + return one+(t*t)/(w+w); + } + + /* |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 [40, log(maxdouble)] return half*exp(|x|) */ + if (ix < 0x40862e42fefa39efLL) return half*__ieee754_expl(fabsl(x)); + + /* |x| in [log(maxdouble), overflowthresold] */ + if (ix < 0x408633ce8fb9f87fLL) { + w = __ieee754_expl(half*fabsl(x)); + t = half*w; + return t*w; + } + + /* |x| > overflowthresold, cosh(x) overflow */ + return huge*huge; +} +strong_alias (__ieee754_coshl, __coshl_finite) |