/* dacosh.f -- translated by f2c (version 19980913).
   You must link the resulting object file with the libraries:
	-lf2c -lm   (in that order)
*/

#include "f2c.h"

/* $Procedure  DACOSH ( Double precision arc hyperbolic cosine ) */
doublereal dacosh_(doublereal *x)
{
    /* System generated locals */
    doublereal ret_val;

    /* Builtin functions */
    double sqrt(doublereal), log(doublereal);

    /* Local variables */
    extern /* Subroutine */ int chkin_(char *, ftnlen), sigerr_(char *, 
	    ftnlen), chkout_(char *, ftnlen), setmsg_(char *, ftnlen);
    extern logical return_(void);

/* $ Abstract */

/*      Return the inverse hyperbolic cosine of a double */
/*      precision argument. */

/* $ Disclaimer */

/*     THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */
/*     CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */
/*     GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */
/*     ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */
/*     PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */
/*     TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */
/*     WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */
/*     PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */
/*     SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */
/*     SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */

/*     IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */
/*     BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */
/*     LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */
/*     INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */
/*     REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */
/*     REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */

/*     RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */
/*     THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */
/*     CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */
/*     ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */

/* $ Required_Reading */

/*     None. */

/* $ Keywords */

/*      HYPERBOLIC,  MATH */

/* $ Declarations */
/* $ Brief_I/O */

/*      VARIABLE  I/O  DESCRIPTION */
/*      --------  ---  -------------------------------------------------- */
/*       X         I   Number whose inverse hyperbolic cosine is desired. */
/*                     X must be >= 1. */

/* $ Detailed_Input */

/*      X      is any double precision number greater than or equal to 1. */

/* $ Detailed_Output */

/*      DACOSH is the inverse hyperbolic cosine of X. */

/* $ Parameters */

/*     None. */

/* $ Particulars */

/*      This function simply implements the definition of the inverse */
/*      hyperbolic cosine as follows: */

/*      DACOSH = DLOG (X + DSQRT (X*X-1.D0)) */

/*      If the input value is not valid, an error is signalled. */

/* $ Examples */

/*      The following table gives a few values for X and the resulting */
/*      value of DACOSH. */

/*      X                       DACOSH(X) */
/*      ---------------------------------------------- */
/*      1.000000000000000      0.0000000000000000E+00 */
/*      10.00000000000000       2.993222846126381 */
/*      100.0000000000000       5.298292365610485 */
/*      1000.000000000000       7.600902209541989 */

/* $ Restrictions */

/*      The value of the input variable X must be greater than or equal */
/*      to 1.0d0. */

/* $ Exceptions */

/*      1) If X is less than 1.0d0, the error SPICE(INVALIDARGUMENT) is */
/*         signalled. */

/* $ Files */

/*      None. */

/* $ Author_and_Institution */

/*      H.A. Neilan     (JPL) */
/*      W.M. Owen       (JPL) */

/* $ Literature_References */

/*      Any good book of mathematical tables and formulae, for example */
/*      the "Standard Mathematical Tables" published by the Chemical */
/*      Rubber Company. */

/* $ Version */

/* -     SPICELIB Version 1.1.0, 17-MAY-1994 (HAN) */

/*        Set the default function value to either 0, 0.0D0, .FALSE., */
/*        or blank depending on the type of the function. */

/* -     SPICELIB Version 1.0.1, 10-MAR-1992 (WLT) */

/*        Comment section for permuted index source lines was added */
/*        following the header. */

/* -     SPICELIB Version 1.0.0, 31-JAN-1990 (WMO) */

/* -& */
/* $ Index_Entries */

/*     d.p. arc hyperbolic_cosine */

/* -& */

/*     SPICELIB functions */


/*   Set up the error processing. */

    if (return_()) {
	ret_val = 0.;
	return ret_val;
    } else {
	chkin_("DACOSH", (ftnlen)6);
	ret_val = 0.;
    }

/*  Check that X >= 1. */

    if (*x < 1.) {
	setmsg_("DACOSH: Invalid argument, X is less than one.", (ftnlen)45);
	sigerr_("SPICE(INVALIDARGUMENT)", (ftnlen)22);
	chkout_("DACOSH", (ftnlen)6);
	return ret_val;
    }

/*  Abiding by the order implied by the parentheses in the expression */
/*  (1.0D0/X)/X prevents floating point overflow that might occur for */
/*  large values of X if the equivalent expression, 1.0D0/(X*X), were */
/*  used. */

    ret_val = log(*x + *x * sqrt(1. - 1. / *x / *x));
    chkout_("DACOSH", (ftnlen)6);
    return ret_val;
} /* dacosh_ */

