diff options
author | Christopher Faylor <me@cgf.cx> | 2000-02-17 22:39:52 +0300 |
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committer | Christopher Faylor <me@cgf.cx> | 2000-02-17 22:39:52 +0300 |
commit | 8a0efa53e44919bcf5ccb1d3353618a82afdf8bc (patch) | |
tree | 68c3dbf3f2c6fd5d49777def9914d77b5cd4589d /newlib/libm/math/e_acosh.c | |
parent | 1fd5e000ace55b323124c7e556a7a864b972a5c4 (diff) |
import newlib-2000-02-17 snapshot
Diffstat (limited to 'newlib/libm/math/e_acosh.c')
-rw-r--r-- | newlib/libm/math/e_acosh.c | 70 |
1 files changed, 70 insertions, 0 deletions
diff --git a/newlib/libm/math/e_acosh.c b/newlib/libm/math/e_acosh.c new file mode 100644 index 000000000..27984eb23 --- /dev/null +++ b/newlib/libm/math/e_acosh.c @@ -0,0 +1,70 @@ + +/* @(#)e_acosh.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_acosh(x) + * Method : + * Based on + * acosh(x) = log [ x + sqrt(x*x-1) ] + * we have + * acosh(x) := log(x)+ln2, if x is large; else + * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else + * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1. + * + * Special cases: + * acosh(x) is NaN with signal if x<1. + * acosh(NaN) is NaN without signal. + */ + +#include "fdlibm.h" + +#ifndef _DOUBLE_IS_32BITS + +#ifdef __STDC__ +static const double +#else +static double +#endif +one = 1.0, +ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */ + +#ifdef __STDC__ + double __ieee754_acosh(double x) +#else + double __ieee754_acosh(x) + double x; +#endif +{ + double t; + __int32_t hx; + __uint32_t lx; + EXTRACT_WORDS(hx,lx,x); + if(hx<0x3ff00000) { /* x < 1 */ + return (x-x)/(x-x); + } else if(hx >=0x41b00000) { /* x > 2**28 */ + if(hx >=0x7ff00000) { /* x is inf of NaN */ + return x+x; + } else + return __ieee754_log(x)+ln2; /* acosh(huge)=log(2x) */ + } else if(((hx-0x3ff00000)|lx)==0) { + return 0.0; /* acosh(1) = 0 */ + } else if (hx > 0x40000000) { /* 2**28 > x > 2 */ + t=x*x; + return __ieee754_log(2.0*x-one/(x+__ieee754_sqrt(t-one))); + } else { /* 1<x<2 */ + t = x-one; + return log1p(t+__ieee754_sqrt(2.0*t+t*t)); + } +} + +#endif /* defined(_DOUBLE_IS_32BITS) */ |