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asinh(3)							      asinh(3)

NAME
       asinh, acosh, atanh - Compute inverse hyperbolic functions

SYNOPSIS
       #include <math.h>

       double asinh(
	       double x ); float asinhf(
	       float x ); long double asinhl(
	       long double x ); double acosh(
	       double x ); float acoshf(
	       float x ); long double acoshl(
	       long double x ); double atanh(
	       double x ); float atanhf(
	       float x ); long double atanhl(
	       long double x );

LIBRARY
       Math Library (libm)

STANDARDS
       Interfaces  documented on this reference page conform to industry stan‐
       dards as follows:

       asinh():	 XPG4-UNIX

       acosh():	 XPG4-UNIX

       atanh():	 XPG4-UNIX

       Refer to the standards(5) reference page	 for  more  information	 about
       industry standards and associated tags.

DESCRIPTION
       The asinh(), asinhf(), and asinhl() functions return the hyperbolic arc
       sine of x, in the range [-infinity, +infinity] where asinh(x)  =	 ln(x+
       sqrt(x**2  +  1)).   The	 asinh()  function  is the inverse function of
       sinh() where asinh(sinh(x)) = x.

       The acosh(), acoshf(), and acoshl() functions return the hyperbolic arc
       cosine  of  x,  in  the	range  [1,  +infinity]	where acosh(x) = ln(x+
       sqrt(x**2 - 1)).	 The acosh()  function	is  the	 inverse  function  of
       cosh() where acosh(cosh(x)) = |x|.

       The  atanh(), atanhf() and atanhl() functions return the hyperbolic arc
       tangent of x, in the range (-1, 1). The atanh() function is the inverse
       function of tanh() where atanh(tanh(x)) = x.

       The  following  table describes function behavior in response to excep‐
       tional arguments:

       ────────────────────────────────────────────────────
       Function	   Exceptional Argument	  Routine Behavior
       ────────────────────────────────────────────────────
       asinh()	   None			  N/A
       asinhf()	   None			  N/A
       asinhl()	   None			  N/A
       acosh()	   x<1			  Invalid argument
       acoshf()	   x<1			  Invalid argument
       acoshl()	   x<1			  Invalid argument
       atanh()	   x>1 or x=1		  Invalid argument

       atanhf()	   x>1 or x=1		  Invalid argument
       atanhl()	   x>1 or x=1		  Invalid argument
       ────────────────────────────────────────────────────

								      asinh(3)
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