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*DECK DETSPL
SUBROUTINE DETSPL(NXMAX,NYMAX,NZMAX,IM,FLUX,FLUXIN,NINT,XCNTR,
> YCNTR,ZCNTR,COORD,IXX,IPRT)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Driver for the spline interpolation.
*
*Copyright:
* Copyright (C) 2010 Ecole Polytechnique de Montreal.
*
*Author(s):
* E. Varin
*
*Parameters:
* NXMAX
* NYMAX
* NZMAX
* IM
* FLUX
* FLUXIN
* NINT
* XCNTR
* YCNTR
* ZCNTR
* COORD
* IXX
* IPRT
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER NXMAX,NYMAX,NZMAX,IM,NINT,IXX(*),IPRT
REAL FLUX(*),FLUXIN(NINT),XCNTR(NXMAX),YCNTR(NYMAX),ZCNTR(NZMAX),
> COORD(*)
*----
* LOCAL VARIABLES
*----
LOGICAL L1DSET
REAL, ALLOCATABLE, DIMENSION(:) :: FDUMMY,FXINT,FYINT,FZINT,F2X,
> F2Y,F2Z
REAL, ALLOCATABLE, DIMENSION(:,:) :: FXY,FYZ,FZX
REAL, ALLOCATABLE, DIMENSION(:,:,:) :: FXYZ
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(FXYZ(NXMAX,NYMAX,NZMAX),FDUMMY(IM),FXINT(NXMAX),
> FYINT(NYMAX),FZINT(NZMAX),FXY(NXMAX,NYMAX),FYZ(NYMAX,NZMAX),
> FZX(NZMAX,NXMAX),F2X(NXMAX),F2Y(NYMAX),F2Z(NZMAX))
*----
* SECOND DERIVATIVE IS CALCULATED BASED ON X(I), Y(I) (DEFAULT)
*----
FP1 = 0.0
FP2 = 0.0
*----
* ASSEMBLE THE ARRAY FXYZ OVER THE FULL MESH
*----
NXNY = NXMAX*NYMAX
*
DO 10 J=1,NXMAX
IX = J
DO 20 I=1,NYMAX
IY = NXMAX*(I - 1)
DO 30 K=1,NZMAX
IZ = NXNY*(K - 1)
*
IDX = IX + IY + IZ
IF (IXX(IDX).EQ.0) THEN
FXYZ(J,I,K) = 0.0
ELSE
FXYZ(J,I,K) = FLUX(IXX(IDX))
ENDIF
*
30 CONTINUE
20 CONTINUE
10 CONTINUE
*----
* CALCULATE THE COORDINATES TO INTERPOLATE
*----
IF(IPRT.GT.4) WRITE(6,1000)
IF(IPRT.GT.4) WRITE(6,2000)
N1 = NXMAX
N2 = NYMAX
N3 = NZMAX
DO 40 N=1,NINT
ININT = 3*(N-1)
XINT = COORD(ININT + 1)
YINT = COORD(ININT + 2)
ZINT = COORD(ININT + 3)
*----
* INTERPOLATE IN TWO DIMENSIONS AT XINT,YINT FOR EACH Z PLANE
*----
ITYPE = 1
CALL DETSPL3(XCNTR ,YCNTR ,ZCNTR ,
> NXMAX ,NYMAX ,NZMAX ,
> FXYZ ,FXY ,FDUMMY,
> F2X ,F2Y ,F2Z ,
> XINT ,YINT ,ZINT ,
> FP1 ,FP2 ,
> FYINT ,FZINT ,FINTR1,
> N1 ,N2 ,N3 ,ITYPE)
L1DSET = .TRUE.
IF (L1DSET) GOTO 1
*----
* INTERPOLATE IN TWO DIMENSIONS AT YINT,ZINT FOR EACH X PLANE
*----
ITYPE = 2
CALL DETSPL3(YCNTR ,ZCNTR ,XCNTR ,
> NYMAX ,NZMAX ,NXMAX ,
> FXYZ ,FYZ ,FDUMMY,
> F2Y ,F2Z ,F2X ,
> YINT ,ZINT ,XINT ,
> FP1 ,FP2 ,
> FZINT ,FXINT ,FINTR2,
> N1 ,N2 ,N3 ,ITYPE)
*
IF(IPRT.GT.4) WRITE(6,3000) XINT,YINT,ZINT,FINTR2
*----
* INTERPOLATE IN TWO DIMENSIONS AT ZINT,XINT FOR EACH Y PLANE
*----
ITYPE = 3
CALL DETSPL3(ZCNTR ,XCNTR ,YCNTR ,
> NZMAX ,NXMAX ,NYMAX ,
> FXYZ ,FZX ,FDUMMY,
> F2Z ,F2X ,F2Y ,
> ZINT ,XINT ,YINT ,
> FP1 ,FP2 ,
> FXINT ,FYINT ,FINTR3,
> N1 ,N2 ,N3 ,ITYPE)
IF(IPRT.GT.4) WRITE(6,3000) XINT,YINT,ZINT,FINTR3
*----
* GET AVERAGE VALUE
*----
1 FI = FINTR1
IF(IPRT.GT.4) WRITE(6,4000) N,XINT,YINT,ZINT,FI
FLUXIN(N) = FI
40 CONTINUE
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(F2Z,F2Y,F2X,FZX,FYZ,FXY,FZINT,FYINT,FXINT,FDUMMY,FXYZ)
RETURN
*
1000 FORMAT(1H1,//,5X,'*** INTERPOLATION PROCESS',/)
2000 FORMAT(//,1X,'DET NO' ,5X,4X,'XP',4X, 4X,'YP',4X, 4X,'ZP',4X,
> 7X,'FI',6X,//)
3000 FORMAT( 1X,6X ,5X,F8.3 ,2X, F8.3 ,2X, F8.3,2X,
> 3X,1PE12.5)
4000 FORMAT( 4X,I3.3 ,5X,F8.3 ,2X, F8.3 ,2X, F8.3,2X,
> 3X,1PE12.5)
END
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