Manual Reference Pages  - atanh (3fortran)

NAME

ATANH(3) - [MATHEMATICS:TRIGONOMETRIC] Inverse hyperbolic tangent function

SYNOPSIS

result = atanh(x) 

         elemental TYPE(kind=KIND) function atanh(x)


          TYPE(kind=KIND),intent(in) :: x

CHARACTERISTICS

o X may be real or complex of any associated type
o The returned value will be of the same type and kind as the argument.

DESCRIPTION

ATANH(3) computes the inverse hyperbolic tangent of X.

OPTIONS

o X : The type shall be real or complex.

RESULT

The return value has same type and kind as X. If X is complex, the imaginary part of the result is in radians and lies between 

           **-PI/2 <= aimag(atanh(x)) <= PI/2**

EXAMPLES

Sample program: 

    program demo_atanh
    implicit none
    real, dimension(3) :: x = [ -1.0, 0.0, 1.0 ]


       write (*,*) atanh(x)


    end program demo_atanh
Results: 

     >       -Infinity  0.0000000E+00       Infinity

STANDARD

Fortran 2008

SEE ALSO

Inverse function: TANH(3)

RESOURCES

o Wikipedia:hyperbolic functions
fortran-lang intrinsic descriptions (license: MIT) @urbanjost

Nemo Release 3.1 atanh (3fortran) April 28, 2024
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