NAG Library Manual, Mark 28.7
Interfaces:  FL   CL   CPP   AD 

NAG FL Interface Introduction
Example description
    Program c09dcfe

!     C09DCF Example Program Text

!     Mark 28.7 Release. NAG Copyright 2022.

!     .. Use Statements ..
      Use nag_library, Only: c09aaf, c09dcf, c09ddf, nag_wp
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
      Integer                          :: ifail, lenc, n, na, nf, nwc, nwl, ny
      Character (10)                   :: keepa, mode, wavnam, wtrans
!     .. Local Arrays ..
      Real (Kind=nag_wp), Allocatable  :: c(:), x(:), y(:)
      Integer                          :: icomm(100)
!     .. Executable Statements ..
      Write (nout,*) 'C09DCF Example Program Results'
!     Skip heading in data file
      Read (nin,*)
!     Read problem parameters
      Read (nin,*) n
      Read (nin,*) wavnam, mode, keepa
      Allocate (x(n),y(n))

      Write (nout,99999) wavnam, mode, n
      Write (nout,99998) keepa

!     Read data array and write it out
      Read (nin,*) x(1:n)

      Write (nout,*) ' Input Data      X :'
      Write (nout,99997) x(1:n)

!     Query wavelet filter dimensions
!     For Multi-Resolution Analysis, decomposition, wtrans = 'U'
      wtrans = 'U'

!     ifail: behaviour on error exit
!            =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
      ifail = 0
      Call c09aaf(wavnam,wtrans,mode,n,nwl,nf,nwc,icomm,ifail)
!     Choose to decompose over two levels
      nwl = 2
      nwc = (nwl+1)*n
      If (keepa=='Final') Then
        lenc = nwc
      Else
        lenc = 2*n*nwl
      End If

      Allocate (c(lenc))

!     Perform Discrete Wavelet transform
      ifail = 0
      Call c09dcf(n,x,keepa,lenc,c,nwl,na,icomm,ifail)

      Write (nout,99996) nwl
      Write (nout,99995) na
      Write (nout,99994)
      Write (nout,99997) c(1:lenc)

!     Reconstruct original data
      ny = n

      ifail = 0
      Call c09ddf(nwl,keepa,lenc,c,ny,y,icomm,ifail)

      Write (nout,99993)
      Write (nout,99997) y(1:ny)

99999 Format (1X,' MLMODWT :: Wavelet : ',A10,', End mode : ',A10,' N = ',I10)
99998 Format (1X,'         :: Keepa   : ',A10)
99997 Format (8(F8.4,1X),:)
99996 Format (1X,' Number of Levels : ',I10)
99995 Format (1X,' Number of coefficients in each level : ',I10)
99994 Format (1X,' Wavelet coefficients C : ')
99993 Format (1X,' Reconstruction              Y : ')
    End Program c09dcfe