catanh-catanhf-catanhl.md

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catanh, catanhf, catanhl

Retrieves the inverse hyperbolic tangent of a complex number, with branch cuts outside the interval [-1; +1] along the real axis.

Syntax

_Dcomplex catanh(
   _Dcomplex z
);
_Fcomplex catanh(
   _Fcomplex z
);  // C++ only
_Lcomplex catanh(
   _Lcomplex z
);  //  C++ only
_Fcomplex catanhf(
   _Fcomplex z
);
_Lcomplex catanhl(
   _Lcomplex z
);

Parameters

z
A complex number that represents an angle, in radians.

Return Value

The inverse hyperbolic tangent of z, in radians. The result is unbounded along the real axis, and in the interval [-iπ/2; +iπ/2] along the imaginary axis. A domain error will occur if z is outside the interval [-1, +1]. A pole error will occur if z is -1 or +1.

Remarks

Because C++ allows overloading, you can call overloads of catanh that take and return _Fcomplex and _Lcomplex values. In a C program, catanh always takes and returns a _Dcomplex value.

Requirements

Routine	C header	C++ header
catanh, catanhf, catanhl	<complex.h>	<ccomplex>

For more compatibility information, see Compatibility.

See also

Alphabetical Function Reference
ctanh, ctanhf, ctanhl
catan, catanf, catanl
csinh, csinhf, csinhl
casinh, casinhf, casinhl
ccosh, ccoshf, ccoshl
cacosh, cacoshf, cacoshl
cacos, cacosf, cacosl
ctan, ctanf, ctanl
csin, csinf, csinl
casin, casinf, casinl
ccos, ccosf, ccosl
csqrt, csqrtf, csqrtl