acsch.c File Reference

Inverse hyperbolic cosecant function. More...

#include "prim.h"

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Functions
double	acsch (double x)
	Inverse hyperbolic cosecant function. More...

Detailed Description

Inverse hyperbolic cosecant function.

Definition in file acsch.c.

Function Documentation

acsch()

double acsch

(

double

x

)

Inverse hyperbolic cosecant function.

Method
                    1+sqrt(1+x*x)
    acsch(x) = ln( ------------— )
                          x
    when x is 0
    acsch(x) = NaN

Definition at line 49 of file acsch.c.

References log(), and sqrt().

Referenced by RealNumber::HypArcCosecant().

{
    double a, b, c, d, e, f;

    if (TRIG_INEXACT(x))
    {
        return NAN;
    }

    a = x * x;
    b = a + 1.0;
    c = sqrt(b);
    d = 1.0 + c;
    e = d / x;
    f = log(e);
    return f;
}

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