catanh

Compute the hyperbolic arctangent of a complex number.

Interface Definition

C interface:

float complex catanhf(float complex x);

double complex catanh(double complex x);

Parameters

Parameter	Type	Description	Input/Output
x	For catanhf, x is of single-precision floating-point complex type. For catanh, x is of double-precision floating-point complex type.	Floating-point value of the input data.	Input

Return Value

The hyperbolic arctangent y of x is returned.

The special values are listed in the following table.

Real Part of the Input (x.real)	Imaginary Part of the Input (x.imag)	Real Part of the Output (y.real)	Imaginary Part of the Output (y.imag)
inf	/	+0.0	/
-inf	/	-0.0	/
+0.0	nan	+0.0	nan
nan	±inf	+0.0	/
nan	Not ±inf	nan	nan

Dependency

C: "km.h"

Example

C interface:

    // typical usage
    double x1 = 1.0, x2 = 2.0, x3 = 3.0, x4 = 4.0;
    double complex cx1 = __builtin_complex(x1, x2);
    double complex cx2 = __builtin_complex(x3, x4);
    double complex cx3 = __builtin_complex(NAN, NAN);
    double complex cx4 = __builtin_complex(INFINITY, -INFINITY);

    // print result
    double ry;
    double iy;
    ry = __real__ catanh(cx1);
    iy = __imag__ catanh(cx1);
    printf("catanh(cx1) = %.15f, %.15f\n", ry, iy);
    ry = __real__ catanh(cx2);
    iy = __imag__ catanh(cx2);
    printf("catanh(cx2) = %.15f, %.15f\n", ry, iy);
    ry = __real__ catanh(cx3);
    iy = __imag__ catanh(cx3);
    printf("catanh(cx3) = %.15f, %.15f\n", ry, iy);
    ry = __real__ catanh(cx4);
    iy = __imag__ catanh(cx4);
    printf("catanh(cx4) = %.15f, %.15f\n", ry, iy);

result:
   /*
    * catanh(cx1) = 0.173286795139986, 1.178097245096172
    * catanh(cx2) = 0.117500907311434, 1.409921049596575
    * catanh(cx3) = nan, nan
    * catanh(cx4) = 0.000000000000000, -1.570796326794897
    */

Parent topic: Complex Functions