SINH

This function extends FORTRAN’s generic function SINH to evaluate the complex hyperbolic sine.

Function Return Value

SINH — Complex function value. (Output)

Required Arguments

Z — Complex number representing the angle in radians for which the complex hyperbolic sine is desired. (Input)

FORTRAN 90 Interface

Generic: SINH (Z)

Specific: The specific interface names are CSINH and ZSINH.

FORTRAN 77 Interface

Complex: CSINH (Z)

Double complex:  The double complex function name is ZSINH.

Description

The argument z must satisfy

 

where ɛ = AMACH(4) is the machine precision and ℑz is the imaginary part of z.

Example

In this example, sinh(5 ‑ i) is computed and printed.

 

USE SINH_INT

USE UMACH_INT

 

IMPLICIT NONE

! Declare variables

INTEGER NOUT

COMPLEX VALUE, Z

! Compute

Z = (5.0, -1.0)

VALUE = SINH(Z)

! Print the results

CALL UMACH (2, NOUT)

WRITE (NOUT,99999) Z, VALUE

99999 FORMAT (' SINH((', F6.3, ',', F6.3, ')) = (',&

F7.3, ',', F7.3, ')')

END

Output

 

SINH(( 5.000,-1.000)) = ( 40.092,-62.446)