This function evaluates the hyperbolic sine integral.

Function Return Value

SHI— function value.   (Output)
SHI equals

Required Arguments

X — Argument for which the function value is desired.    (Input)

FORTRAN 90 Interface

Generic:                              SHI (X)

Specific:                             The specific interface names are S_SHI and D_SHI.

FORTRAN 77 Interface

Single:                                SHI (X)

Double:                              The double precision function name is DSHI.

Description

The hyperbolic sine integral, Shi(x), is defined to be

The argument x must be large enough that e−x/x does not underflow, and x must be small enough that ex does not overflow.

Example

In this example, Shi(3.5) is computed and printed.

 

      USE SHI_INT

      USE UMACH_INT

 

      IMPLICIT   NONE

!                                 Declare variables

      INTEGER    NOUT

      REAL       VALUE, X

!                                 Compute

      X     = 3.5

      VALUE = SHI(X)

!                                 Print the results

      CALL UMACH (2, NOUT)

      WRITE (NOUT,99999) X, VALUE

99999 FORMAT (' SHI(', F6.3, ') = ', F6.3)

      END

Output

 

SHI( 3.500) =  6.966

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