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*DECK MCRTRP
SUBROUTINE MCRTRP(IPMPO,LCUB2,IMPX,NPAR,NCAL,MUPLET,MUTYPE,PARTYP,
1 VALR,VARVAL,MUBASE,TERP)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the TERP interpolation/derivation/integration factors using
* table-of-content information of the MPO file.
*
*Copyright:
* Copyright (C) 2022 Ecole Polytechnique de Montreal
*
*Author(s):
* A. Hebert
*
*Parameters: input
* IPMPO address of the multidimensional MPO file.
* LCUB2 interpolation type for each parameter (=.TRUE.: cubic Ceschino
* interpolation; =.FALSE: linear Lagrange interpolation).
* IMPX print parameter (equal to zero for no print).
* NPAR number of global parameters.
* NCAL number of elementary calculations in the MPO file.
* MUPLET tuple used to identify an elementary calculation.
* MUTYPE type of interpolation (=1: interpolation; =2: delta-sigma).
* PARTYP parameter types.
* VALR real values of the interpolated point.
* VARVAL exit burnup used if MUTYPE(IPAR(ID))=3.
* MUBASE muplet database.
*
*Parameters: output
* TERP interpolation factors.
*
*-----------------------------------------------------------------------
*
USE GANLIB
USE hdf5_wrap
IMPLICIT NONE
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER, PARAMETER::MAXPAR=50
TYPE(C_PTR) IPMPO
INTEGER IMPX,NPAR,NCAL,MUPLET(NPAR),MUTYPE(NPAR),MUBASE(NPAR,NCAL)
REAL VALR(2*MAXPAR,2),VARVAL,TERP(NCAL)
LOGICAL LCUB2(NPAR)
CHARACTER(LEN=24) PARTYP(NPAR)
*----
* LOCAL VARIABLES
*----
INTEGER, PARAMETER::IOUT=6
INTEGER, PARAMETER::MAXDIM=10
INTEGER, PARAMETER::MAXVAL=200
INTEGER IPAR(MAXDIM),NVAL(MAXDIM),IDDIV(MAXDIM)
REAL BURN0, BURN1, DENOM, TERTMP
INTEGER I, ICAL, ID, IDTMP, IDTOT, JD, NDELTA, NDIM, NID, NTOT,
1 MCRCAL, IBURN, ITIME
REAL T1D(MAXVAL,MAXDIM),WORK(MAXVAL)
CHARACTER HSMG*131,RECNAM*80
LOGICAL LCUBIC,LSINGL
*----
* ALLOCATABLE ARRAYS
*----
INTEGER, ALLOCATABLE, DIMENSION(:) :: NVALUE,MUPLE2
REAL, ALLOCATABLE, DIMENSION(:) :: TERPA,VREAL
CHARACTER(LEN=80), ALLOCATABLE, DIMENSION(:) :: PARNAM
*----
* RECOVER TREE INFORMATION
*----
IBURN=0
ITIME=0
IF(NPAR.GT.0) THEN
CALL hdf5_read_data(IPMPO,"/parameters/info/NVALUE",NVALUE)
DO I=1,NPAR
IF(PARTYP(I).EQ.'BURNUP') IBURN=I
IF(PARTYP(I).EQ.'TIME') ITIME=I
ENDDO
ENDIF
*----
* COMPUTE TERP FACTORS
*----
TERP(:NCAL)=0.0
IPAR(:MAXDIM)=0
NDIM=0
NDELTA=0
DO 10 I=1,NPAR
IF(MUPLET(I).EQ.-1) THEN
NDIM=NDIM+1
IF(MUTYPE(I).NE.1) NDELTA=NDELTA+1
IF(NDIM.GT.MAXDIM) THEN
WRITE(HSMG,'(7HMCRTRP:,I4,29H-DIMENSIONAL INTERPOLATION NO,
1 14HT IMPLEMENTED.)') NDIM
CALL XABORT(HSMG)
ENDIF
IPAR(NDIM)=I
ELSE IF((MUPLET(I).EQ.0).AND.(NVALUE(I).EQ.1)) THEN
MUPLET(I)=1
ENDIF
10 CONTINUE
IF(IMPX.GT.2) THEN
WRITE(IOUT,'(16H MCRTRP: MUPLET=,10I4/(16X,10I4))')
1 (MUPLET(I),I=1,NPAR)
WRITE(IOUT,'(8H MCRTRP:,I4,31H-DIMENSIONAL INTERPOLATION IN M,
1 3HPO.)') NDIM
ENDIF
ALLOCATE(MUPLE2(NPAR))
IF(NDIM.EQ.0) THEN
MUPLE2(:NPAR)=MUPLET(:NPAR)
IF((MUPLET(IBURN).NE.0).AND.(MUPLET(ITIME).EQ.0)) THEN
MUPLE2(ITIME)=MUPLE2(IBURN)
ELSE IF((MUPLET(IBURN).EQ.0).AND.(MUPLET(ITIME).NE.0)) THEN
MUPLE2(IBURN)=MUPLE2(ITIME)
ENDIF
ICAL=0
IF(NPAR.GT.0) ICAL=MCRCAL(NPAR,NCAL,MUPLE2,MUBASE)
IF(ICAL.GT.NCAL) CALL XABORT('MCRTRP: TERP OVERFLOW(1).')
IF(ICAL.EQ.0) GO TO 200
IF(ICAL.EQ.-1) GO TO 210
TERP(ICAL)=1.0
ELSE
NTOT=1
IDDIV(:MAXDIM)=1
DO 70 ID=1,NDIM
IF(IPAR(ID).LE.NPAR) THEN
WRITE(RECNAM,'(25H/parameters/values/PARAM_,I0)') IPAR(ID)-1
NID=NVALUE(IPAR(ID))
ELSE
CALL XABORT('MCRTRP: PARAMETER INDEX OVERFLOW.')
ENDIF
NTOT=NTOT*NID
DO 15 IDTMP=1,NDIM-ID
IDDIV(IDTMP)=IDDIV(IDTMP)*NID
15 CONTINUE
CALL hdf5_read_data(IPMPO,RECNAM,VREAL)
BURN0=VALR(IPAR(ID),1)
BURN1=VALR(IPAR(ID),2)
LSINGL=(BURN0.EQ.BURN1)
LCUBIC=LCUB2(IPAR(ID))
IF((MUTYPE(IPAR(ID)).EQ.1).AND.LSINGL) THEN
CALL ALTERP(LCUBIC,NID,VREAL,BURN0,.FALSE.,T1D(1,ID))
ELSE IF(MUTYPE(IPAR(ID)).EQ.1) THEN
IF(BURN0.GE.BURN1) CALL XABORT('MCRTRP: INVALID BURNUP'
1 //' LIMITS(1).')
CALL ALTERI(LCUBIC,NID,VREAL,BURN0,BURN1,T1D(1,ID))
DO 20 I=1,NID
T1D(I,ID)=T1D(I,ID)/(BURN1-BURN0)
20 CONTINUE
ELSE IF((MUTYPE(IPAR(ID)).EQ.2).AND.(.NOT.LSINGL)) THEN
CALL ALTERP(LCUBIC,NID,VREAL,BURN0,.FALSE.,WORK(1))
CALL ALTERP(LCUBIC,NID,VREAL,BURN1,.FALSE.,T1D(1,ID))
DO 30 I=1,NID
T1D(I,ID)=T1D(I,ID)-WORK(I)
30 CONTINUE
ELSE IF((MUTYPE(IPAR(ID)).EQ.2).AND.(LSINGL)) THEN
T1D(:NID,ID)=0.0
ELSE IF(MUTYPE(IPAR(ID)).EQ.3) THEN
* DERIVATIVE WITH RESPECT TO A SINGLE EXIT BURNUP. USE
* EQ.(3.3) OF RICHARD CHAMBON'S THESIS.
IF(BURN0.GE.BURN1) CALL XABORT('MCRTRP: INVALID BURNUP'
1 //' LIMITS(2).')
CALL hdf5_read_data(IPMPO,"/paramdescrip/PARNAM",PARNAM)
IF(PARNAM(IPAR(ID)).NE.'Burnup') THEN
CALL XABORT('MCRTRP: Burnup EXPECTED.')
ENDIF
DEALLOCATE(PARNAM)
ALLOCATE(TERPA(NID))
CALL ALTERI(LCUBIC,NID,VREAL,BURN0,BURN1,TERPA(1))
DO 40 I=1,NID
T1D(I,ID)=-TERPA(I)
40 CONTINUE
CALL ALTERP(LCUBIC,NID,VREAL,BURN0,.FALSE.,TERPA(1))
DO 50 I=1,NID
T1D(I,ID)=T1D(I,ID)-TERPA(I)*BURN0
50 CONTINUE
CALL ALTERP(LCUBIC,NID,VREAL,BURN1,.FALSE.,TERPA(1))
DENOM=VARVAL*(BURN1-BURN0)
DO 60 I=1,NID
T1D(I,ID)=(T1D(I,ID)+TERPA(I)*BURN1)/DENOM
60 CONTINUE
DEALLOCATE(TERPA)
ELSE
CALL XABORT('MCRTRP: INVALID OPTION.')
ENDIF
DEALLOCATE(VREAL)
NVAL(ID)=NID
70 CONTINUE
* Example: NDIM=3, NVALUE=(3,2,2)
* IDTOT 1 2 3 4 5 6 7 8 9 10 11 12
* ID(1) 1 2 3 1 2 3 1 2 3 1 2 3
* ID(2) 1 1 1 2 2 2 1 1 1 2 2 2
* ID(3) 1 1 1 1 1 1 2 2 2 2 2 2
* (NTOT=12, IDDIV=(6,3,1))
DO 100 IDTOT=1,NTOT ! Ex.: IDTOT = 9
TERTMP=1.0
IDTMP=IDTOT
DO 80 JD=1,NDIM ! Ex.: JD = 1,2,3
ID=(IDTMP-1)/IDDIV(JD)+1 ! Ex.: ID(NDIM...1)= 2,1,3
IDTMP=IDTMP-(ID-1)*IDDIV(JD) ! Ex.: IDTMP = 3,3,1
MUPLET(IPAR(NDIM-JD+1))=ID
TERTMP=TERTMP*T1D(ID,NDIM-JD+1)
80 CONTINUE
MUPLE2(:NPAR)=MUPLET(:NPAR)
IF((MUPLET(IBURN).NE.0).AND.(MUPLET(ITIME).EQ.0)) THEN
MUPLE2(ITIME)=MUPLE2(IBURN)
ELSE IF((MUPLET(IBURN).EQ.0).AND.(MUPLET(ITIME).NE.0)) THEN
MUPLE2(IBURN)=MUPLE2(ITIME)
ENDIF
ICAL=MCRCAL(NPAR,NCAL,MUPLE2,MUBASE)
IF(ICAL.GT.NCAL) CALL XABORT('MCRTRP: TERP OVERFLOW(2).')
IF(ICAL.EQ.0) GO TO 200
IF(ICAL.EQ.-1) GO TO 210
TERP(ICAL)=TERP(ICAL)+TERTMP
100 CONTINUE
ENDIF
IF(IMPX.GT.3) THEN
WRITE(IOUT,'(25H MCRTRP: TERP PARAMETERS:/(1X,1P,10E12.4))')
1 (TERP(I),I=1,NCAL)
ENDIF
DEALLOCATE(MUPLE2)
IF(NPAR.GT.0) DEALLOCATE(NVALUE)
RETURN
*----
* MISSING ELEMENTARY CALCULATION EXCEPTION.
*----
200 WRITE(IOUT,'(16H MCRTRP: MUPLET=,10I4/(16X,10I4))')
1 (MUPLET(I),I=1,NPAR)
CALL XABORT('MCRTRP: MISSING ELEMENTARY CALCULATION.')
210 WRITE(IOUT,'(16H MCRTRP: MUPLET=,10I4/(16X,10I4))')
1 (MUPLET(I),I=1,NPAR)
WRITE(IOUT,'(9X,7HNVALUE=,10I4/(16X,10I4))') (NVALUE(I),I=1,NPAR)
CALL XABORT('MCRTRP: DEGENERATE ELEMENTARY CALCULATION.')
END
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