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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
+*----
+* 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
+ 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