acoth.c File Reference

Inverse hyperbolic cotangent function. More...

#include "prim.h"

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Functions
double	acoth (double x)
	Inverse hyperbolic cotangent function. More...

Detailed Description

Inverse hyperbolic cotangent function.

Definition in file acoth.c.

Function Documentation

acoth()

double acoth

(

double

x

)

Inverse hyperbolic cotangent function.

Method
                          x + 1
    acoth(x) = 0.5 * ln( ----— )
                          x - 1
    when x in [-1, 1]
    acoth(x) = NaN

Definition at line 49 of file acoth.c.

References log().

Referenced by RealNumber::HypArcCotangent().

{
    double a, b, c, d;

    if (x <= 1 && x >= -1)
    {
        return NAN;
    }

    a = x + 1.0;
    b = x - 1.0;
    c = a / b;
    d = 0.5 * log(c);
    return d;
}

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