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*DECK PCRTRP
SUBROUTINE PCRTRP(LCUB2,IMPX,NPAR,NCAL,NVALUE,MUPLET,MUTYPE,VALR,
1 VARVAL,MUBASE,VREAL,TERP)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the TERP interpolation/derivation/integration factors using
* table-of-content information of the PMAXS file.
*
*Copyright:
* Copyright (C) 2018 Ecole Polytechnique de Montreal
*
*Author(s):
* A. Hebert
*
*Parameters: input
* 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 parameters.
* NCAL number of elementary calculations in the PMAXS file.
* NVALUE number of tabulation values for each parameter.
* MUPLET tuple used to identify an elementary calculation.
* MUTYPE type of interpolation (=1: interpolation; =2: delta-sigma).
* VALR real values of the interpolated point.
* VARVAL exit burnup used if MUTYPE(IPAR(ID))=3.
* MUBASE muplet database.
* VREAL local parameter values at tabulation points.
*
*Parameters: output
* TERP interpolation factors.
*
*-----------------------------------------------------------------------
*
USE GANLIB
IMPLICIT NONE
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER, PARAMETER::MAXVAL=200
INTEGER, PARAMETER::MAXPAR=50
INTEGER IMPX,NPAR,NCAL,NVALUE(NPAR),MUPLET(NPAR),MUTYPE(NPAR),
1 MUBASE(NPAR,NCAL)
REAL VALR(MAXPAR,2),VARVAL,VREAL(MAXVAL,MAXPAR),TERP(NCAL)
LOGICAL LCUB2(NPAR)
*----
* LOCAL VARIABLES
*----
INTEGER, PARAMETER::IOUT=6
INTEGER, PARAMETER::MAXDIM=10
INTEGER IPAR(MAXDIM),NVAL(MAXDIM),IDDIV(MAXDIM)
REAL T1D(MAXVAL,MAXDIM),WORK(MAXVAL)
REAL BURN0, BURN1, DENOM, TERTMP
INTEGER ICAL, IDTMP, IDTOT, ID, I, JD, NDELTA, NDIM, NID, NTOT,
1 IIPAR, MCRCAL
CHARACTER HSMG*131,RECNAM*12
LOGICAL LCUBIC,LSINGL
*----
* ALLOCATABLE ARRAYS
*----
REAL, ALLOCATABLE, DIMENSION(:) :: TERPA
*----
* TRIVAL CASE WHERE NCAL=1
*----
IF(NCAL.EQ.1) THEN
TERP(1)=1.0
GO TO 110
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,'(7HPCRTRP:,I4,29H-DIMENSIONAL INTERPOLATION NO,
1 14HT IMPLEMENTED.)') NDIM
CALL XABORT(HSMG)
ENDIF
IPAR(NDIM)=I
ENDIF
10 CONTINUE
IF(IMPX.GT.2) THEN
WRITE(IOUT,'(16H PCRTRP: MUPLET=,10I4/(16X,10I4))')
1 (MUPLET(I),I=1,NPAR)
WRITE(IOUT,'(8H PCRTRP:,I4,27H-DIMENSIONAL INTERPOLATION.)')
1 NDIM
ENDIF
IF(NDIM.EQ.0) THEN
ICAL=MCRCAL(NPAR,NCAL,MUPLET,MUBASE)
IF(ICAL.GT.NCAL) CALL XABORT('PCRTRP: 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
IIPAR=IPAR(ID)
NID=NVALUE(IIPAR)
NTOT=NTOT*NID
DO 15 IDTMP=1,NDIM-ID
IDDIV(IDTMP)=IDDIV(IDTMP)*NID
15 CONTINUE
BURN0=VALR(IIPAR,1)
BURN1=VALR(IIPAR,2)
LSINGL=(BURN0.EQ.BURN1)
LCUBIC=LCUB2(IIPAR)
IF((MUTYPE(IIPAR).EQ.1).AND.LSINGL) THEN
CALL ALTERP(LCUBIC,NID,VREAL(1,IIPAR),BURN0,.FALSE.,
1 T1D(1,ID))
ELSE IF(MUTYPE(IIPAR).EQ.1) THEN
IF(BURN0.GE.BURN1) CALL XABORT('@PCRTRP: INVALID BURNUP'
1 //' LIMITS(1).')
CALL ALTERI(LCUBIC,NID,VREAL(1,IIPAR),BURN0,BURN1,T1D(1,ID))
DO 20 I=1,NID
T1D(I,ID)=T1D(I,ID)/(BURN1-BURN0)
20 CONTINUE
ELSE IF((MUTYPE(IIPAR).EQ.2).AND.(.NOT.LSINGL)) THEN
CALL ALTERP(LCUBIC,NID,VREAL(1,IIPAR),BURN0,.FALSE.,WORK(1))
CALL ALTERP(LCUBIC,NID,VREAL(1,IIPAR),BURN1,.FALSE.,T1D(1,ID))
DO 30 I=1,NID
T1D(I,ID)=T1D(I,ID)-WORK(I)
30 CONTINUE
ELSE IF((MUTYPE(IIPAR).EQ.2).AND.(LSINGL)) THEN
T1D(:NID,ID)=0.0
ELSE IF(MUTYPE(IIPAR).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('@PCRTRP: INVALID BURNUP'
1 //' LIMITS(2).')
IF(RECNAM.NE.'BURN') CALL XABORT('@PCRTRP: BURN EXPECTED.')
ALLOCATE(TERPA(NID))
CALL ALTERI(LCUBIC,NID,VREAL(1,IIPAR),BURN0,BURN1,TERPA(1))
DO 40 I=1,NID
T1D(I,ID)=-TERPA(I)
40 CONTINUE
CALL ALTERP(LCUBIC,NID,VREAL(1,IIPAR),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(1,IIPAR),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('PCRTRP: INVALID OPTION.')
ENDIF
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
ICAL=MCRCAL(NPAR,NCAL,MUPLET,MUBASE)
IF(ICAL.GT.NCAL) CALL XABORT('PCRTRP: 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
110 IF(IMPX.GT.3) THEN
WRITE(IOUT,'(25H PCRTRP: TERP PARAMETERS:/(1X,1P,10E12.4))')
1 (TERP(I),I=1,NCAL)
ENDIF
RETURN
*----
* MISSING ELEMENTARY CALCULATION EXCEPTION.
*----
200 WRITE(IOUT,'(16H PCRTRP: MUPLET=,10I4/(16X,10I4))')
1 (MUPLET(I),I=1,NPAR)
CALL XABORT('PCRTRP: MISSING ELEMENTARY CALCULATION.')
210 WRITE(IOUT,'(16H PCRTRP: MUPLET=,10I4/(16X,10I4))')
1 (MUPLET(I),I=1,NPAR)
CALL XABORT('PCRTRP: DEGENERATE ELEMENTARY CALCULATION.')
END
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