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Function ID
Evaluation of interpolant computed by , function and first derivative
Hermite interpolation | monotonicity-preserving spline
This example reads in values of n, x, f and d, and calls e01bgf to compute the values of the interpolant and its derivative at equally spaced points.
The example data reflects that shown in the "Example" section of the routine documentation. You can change this here to try alternative inputs. The formatting will need to be kept as it is here, otherwise the program is likely to fail to run correctly.

Please note that incompatible data will however cause the example output to display an error message. These error messages are fully explained in the Routine document
    Program e01bgfe

!     E01BGF Example Program Text

!     Mark 26.1 Release. NAG Copyright 2016.

!     .. Use Statements ..
      Use nag_library, Only: e01bgf, nag_wp
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
      Real (Kind=nag_wp)               :: step
      Integer                          :: i, ifail, m, n, r
!     .. Local Arrays ..
      Real (Kind=nag_wp), Allocatable  :: d(:), f(:), pd(:), pf(:), px(:),     &
!     .. Intrinsic Procedures ..
      Intrinsic                        :: min, real
!     .. Executable Statements ..
      Write (nout,*) 'E01BGF Example Program Results'

!     Skip heading in data file
      Read (nin,*)

      Read (nin,*) n
      Allocate (d(n),f(n),x(n))

      Do r = 1, n
        Read (nin,*) x(r), f(r), d(r)
      End Do

      Read (nin,*) m
      Allocate (pd(m),pf(m),px(m))

!     Compute M equally spaced points from X(1) to X(N).

      step = (x(n)-x(1))/real(m-1,kind=nag_wp)

      Do i = 1, m
        px(i) = min(x(1)+real(i-1,kind=nag_wp)*step,x(n))
      End Do

      ifail = 0
      Call e01bgf(n,x,f,d,m,px,pf,pd,ifail)

      Write (nout,*)
      Write (nout,*) '                  Interpolated   Interpolated'
      Write (nout,*) '       Abscissa          Value     Derivative'

      Do i = 1, m
        Write (nout,99999) px(i), pf(i), pd(i)
      End Do

99999 Format (1X,2F15.4,1P,E15.3)
    End Program e01bgfe
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