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ATANH(3P)                  POSIX Programmer's Manual                 ATANH(3P)
PROLOG
       This  manual  page is part of the POSIX Programmer's Manual.  The Linux
       implementation of this interface may differ (consult the  corresponding
       Linux  manual page for details of Linux behavior), or the interface may
       not be implemented on Linux.
NAME
       atanh, atanhf, atanhl -- inverse hyperbolic tangent functions
SYNOPSIS
       #include <math.h>
       double atanh(double x);
       float atanhf(float x);
       long double atanhl(long double x);
DESCRIPTION
       The functionality described on this reference page is aligned with  the
       ISO C  standard.  Any  conflict between the requirements described here
       and the ISO C standard is unintentional. This  volume  of  POSIX.1-2008
       defers to the ISO C standard.
       These  functions  shall compute the inverse hyperbolic tangent of their
       argument x.
       An application wishing to check for error situations should  set  errno
       to  zero  and  call  feclearexcept(FE_ALL_EXCEPT)  before calling these
       functions. On return, if errno is non-zero or fetestexcept(FE_INVALID |
       FE_DIVBYZERO  |  FE_OVERFLOW  | FE_UNDERFLOW) is non-zero, an error has
       occurred.
RETURN VALUE
       Upon successful completion, these functions shall  return  the  inverse
       hyperbolic tangent of their argument.
       If  x  is  +-1,  a  pole  error shall occur, and atanh(), atanhf(), and
       atanhl() shall return the value of the macro HUGE_VAL,  HUGE_VALF,  and
       HUGE_VALL, respectively, with the same sign as the correct value of the
       function.
       For finite |x|>1, a domain error shall occur, and either a NaN (if sup-
       ported), or an implementation-defined value shall be returned.
       If x is NaN, a NaN shall be returned.
       If x is +-0, x shall be returned.
       If x is +-Inf, a domain error shall occur, and a NaN shall be returned.
       If x is subnormal, a range error may occur
       and x should be returned.
       If  x  is not returned, atanh(), atanhf(), and atanhl() shall return an
       implementation-defined value no  greater  in  magnitude  than  DBL_MIN,
       FLT_MIN, and LDBL_MIN, respectively.
ERRORS
       These functions shall fail if:
       Domain Error
                   The x argument is finite and not in the range [-1,1], or is
                   +-Inf.
                   If the integer expression (math_errhandling  &  MATH_ERRNO)
                   is  non-zero,  then  errno  shall be set to [EDOM].  If the
                   integer expression (math_errhandling &  MATH_ERREXCEPT)  is
                   non-zero,  then  the invalid floating-point exception shall
                   be raised.
       Pole Error  The x argument is +-1.
                   If the integer expression (math_errhandling  &  MATH_ERRNO)
                   is  non-zero,  then errno shall be set to [ERANGE].  If the
                   integer expression (math_errhandling &  MATH_ERREXCEPT)  is
                   non-zero,  then the divide-by-zero floating-point exception
                   shall be raised.
       These functions may fail if:
       Range Error The value of x is subnormal.
                   If the integer expression (math_errhandling  &  MATH_ERRNO)
                   is  non-zero,  then errno shall be set to [ERANGE].  If the
                   integer expression (math_errhandling &  MATH_ERREXCEPT)  is
                   non-zero, then the underflow floating-point exception shall
                   be raised.
       The following sections are informative.
EXAMPLES
       None.
APPLICATION USAGE
       On  error,  the  expressions  (math_errhandling   &   MATH_ERRNO)   and
       (math_errhandling  & MATH_ERREXCEPT) are independent of each other, but
       at least one of them must be non-zero.
RATIONALE
       None.
FUTURE DIRECTIONS
       None.
SEE ALSO
       feclearexcept(), fetestexcept(), tanh()
       The Base Definitions volume of POSIX.1-2008, Section 4.19, Treatment of
       Error Conditions for Mathematical Functions, <math.h>
COPYRIGHT
       Portions  of  this text are reprinted and reproduced in electronic form
       from IEEE Std 1003.1, 2013 Edition, Standard for Information Technology
       --  Portable  Operating  System  Interface (POSIX), The Open Group Base
       Specifications Issue 7, Copyright (C) 2013 by the Institute of Electri-
       cal  and  Electronics  Engineers,  Inc  and  The  Open Group.  (This is
       POSIX.1-2008 with the 2013 Technical Corrigendum  1  applied.)  In  the
       event of any discrepancy between this version and the original IEEE and
       The Open Group Standard, the original IEEE and The Open Group  Standard
       is  the  referee document. The original Standard can be obtained online
       at http://www.unix.org/online.html .
       Any typographical or formatting errors that appear  in  this  page  are
       most likely to have been introduced during the conversion of the source
       files to man page format. To report such errors,  see  https://www.ker-
       nel.org/doc/man-pages/reporting_bugs.html .
IEEE/The Open Group                  2013                            ATANH(3P)