/* @(#)w_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. * ==================================================== * */ /* FUNCTION <>, <>---inverse hyperbolic cosine INDEX acosh INDEX acoshf ANSI_SYNOPSIS #include double acosh(double <[x]>); float acoshf(float <[x]>); TRAD_SYNOPSIS #include double acosh(<[x]>) double <[x]>; float acoshf(<[x]>) float <[x]>; DESCRIPTION <> calculates the inverse hyperbolic cosine of <[x]>. <> is defined as @ifnottex . log(<[x]> + sqrt(<[x]>*<[x]>-1)) @end ifnottex @tex $$ln\Bigl(x + \sqrt{x^2-1}\Bigr)$$ @end tex <[x]> must be a number greater than or equal to 1. <> is identical, other than taking and returning floats. RETURNS <> and <> return the calculated value. If <[x]> less than 1, the return value is NaN and <> is set to <>. You can change the error-handling behavior with the non-ANSI <> function. PORTABILITY Neither <> nor <> are ANSI C. They are not recommended for portable programs. QUICKREF ANSI SVID POSIX RENTRANT acos n,n,n,m acosf n,n,n,m MATHREF acosh, NAN, arg,DOMAIN,EDOM acosh, < 1.0, NAN,DOMAIN,EDOM acosh, >=1.0, acosh(arg),,, MATHREF acoshf, NAN, arg,DOMAIN,EDOM acoshf, < 1.0, NAN,DOMAIN,EDOM acoshf, >=1.0, acosh(arg),,, */ /* * wrapper acosh(x) */ #include "fdlibm.h" #include #ifndef _DOUBLE_IS_32BITS #ifdef __STDC__ double acosh(double x) /* wrapper acosh */ #else double acosh(x) /* wrapper acosh */ double x; #endif { #ifdef _IEEE_LIBM return __ieee754_acosh(x); #else double z; struct exception exc; z = __ieee754_acosh(x); if(_LIB_VERSION == _IEEE_ || isnan(x)) return z; if(x<1.0) { /* acosh(x<1) */ exc.type = DOMAIN; exc.name = "acosh"; exc.err = 0; exc.arg1 = exc.arg2 = x; exc.retval = 0.0/0.0; if (_LIB_VERSION == _POSIX_) errno = EDOM; else if (!matherr(&exc)) { errno = EDOM; } if (exc.err != 0) errno = exc.err; return exc.retval; } else return z; #endif } #endif /* defined(_DOUBLE_IS_32BITS) */