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+*DECK SCRTRP
+ SUBROUTINE SCRTRP(IPSAP,LCUB2,IMPX,NVP,NPAR,NCAL,MUPLET,MUTYPE,
+ 1 VALR,VARVAL,TERP)
+*
+*-----------------------------------------------------------------------
+*
+*Purpose:
+* Compute the TERP interpolation/derivation/integration factors using
+* table-of-content information of the Saphyb.
+*
+*Copyright:
+* Copyright (C) 2012 Ecole Polytechnique de Montreal
+*
+*Author(s):
+* A. Hebert
+*
+*Parameters: input
+* IPSAP address of the multidimensional Saphyb object.
+* LCUB2 interpolation type for each parameter (=.TRUE.: cubic Ceschino
+* interpolation; =.FALSE: linear Lagrange interpolation).
+* IMPX print parameter (equal to zero for no print).
+* NVP number of nodes in the global parameter tree.
+* NPAR number of global parameters.
+* NCAL number of elementary calculations in the Saphyb.
+* 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.
+*
+*Parameters: output
+* TERP interpolation factors.
+*
+*-----------------------------------------------------------------------
+*
+ USE GANLIB
+ IMPLICIT NONE
+*----
+* SUBROUTINE ARGUMENTS
+*----
+ INTEGER, PARAMETER::MAXPAR=50
+ TYPE(C_PTR) IPSAP
+ INTEGER IMPX,NVP,NPAR,NCAL,MUPLET(NPAR),MUTYPE(NPAR)
+ REAL VALR(2*MAXPAR,2),VARVAL,TERP(NCAL)
+ LOGICAL LCUB2(NPAR)
+*----
+* LOCAL VARIABLES
+*----
+ INTEGER, PARAMETER::IOUT=6
+ INTEGER, PARAMETER::MAXDIM=10
+ INTEGER, PARAMETER::MAXVAL=200
+ INTEGER IPAR(MAXDIM),NVALUE(MAXPAR),NVAL(MAXDIM),IDDIV(MAXDIM)
+ REAL BURN0, BURN1, DENOM, TERTMP
+ INTEGER I, ICAL, ID, IDTMP, IDTOT, ILONG, ITYLCM, JD,
+ & MAXNVP, NDELTA, NDIM, NID, NTOT, NCRCAL
+ REAL VREAL(MAXVAL),T1D(MAXVAL,MAXDIM),WORK(MAXVAL)
+ CHARACTER HSMG*131,RECNAM*12,PARKEY(MAXPAR)*4
+ LOGICAL LCUBIC,LSINGL
+ TYPE(C_PTR) LPSAP
+*----
+* ALLOCATABLE ARRAYS
+*----
+ INTEGER, ALLOCATABLE, DIMENSION(:) :: JDEBAR,JARBVA
+ REAL, ALLOCATABLE, DIMENSION(:) :: TERPA
+*----
+* RECOVER TREE INFORMATION
+*----
+ LPSAP=LCMGID(IPSAP,'paramarbre')
+ CALL LCMLEN(LPSAP,'ARBVAL',MAXNVP,ITYLCM)
+ IF(NVP.GT.MAXNVP) CALL XABORT('SCRTRP: NVP OVERFLOW.')
+ ALLOCATE(JDEBAR(MAXNVP+1),JARBVA(MAXNVP))
+ CALL LCMGET(LPSAP,'DEBARB',JDEBAR)
+ CALL LCMGET(LPSAP,'ARBVAL',JARBVA)
+ LPSAP=LCMGID(IPSAP,'paramdescrip')
+ CALL LCMGET(LPSAP,'NVALUE',NVALUE)
+ CALL LCMGTC(LPSAP,'PARKEY',4,NPAR,PARKEY)
+*----
+* 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,'(7HSCRTRP:,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 SCRTRP: MUPLET=,10I4/(16X,10I4))')
+ 1 (MUPLET(I),I=1,NPAR)
+ WRITE(IOUT,'(8H SCRTRP:,I4,27H-DIMENSIONAL INTERPOLATION.)')
+ 1 NDIM
+ ENDIF
+ IF(NDIM.EQ.0) THEN
+ ICAL=NCRCAL(1,MAXNVP,NPAR,JDEBAR,JARBVA,MUPLET)
+ IF(ICAL.GT.NCAL) CALL XABORT('SCRTRP: 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,'(''pval'',I8)') IPAR(ID)
+ NID=NVALUE(IPAR(ID))
+ ELSE
+ CALL XABORT('SCRTRP: PARAMETER INDEX OVERFLOW.')
+ ENDIF
+ NTOT=NTOT*NID
+ DO 15 IDTMP=1,NDIM-ID
+ IDDIV(IDTMP)=IDDIV(IDTMP)*NID
+ 15 CONTINUE
+ LPSAP=LCMGID(IPSAP,'paramvaleurs')
+ CALL LCMLEN(LPSAP,RECNAM,ILONG,ITYLCM)
+ IF(ILONG.GT.MAXVAL) CALL XABORT('SCRTRP: MAXVAL OVERFLOW.')
+ CALL LCMGET(LPSAP,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('@SCRTRP: 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('@SCRTRP: INVALID BURNUP'
+ 1 //' LIMITS(2).')
+ IF(PARKEY(IPAR(ID)).NE.'BURN') THEN
+ CALL XABORT('@SCRTRP: BURN EXPECTED.')
+ ENDIF
+ 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('SCRTRP: INVALID OPTION.')
+ ENDIF
+ NVAL(ID)=NID
+ 70 CONTINUE
+ LPSAP=LCMGID(IPSAP,'paramarbre')
+
+* 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=NCRCAL(1,MAXNVP,NPAR,JDEBAR,JARBVA,MUPLET)
+ IF(ICAL.GT.NCAL) CALL XABORT('SCRTRP: 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 SCRTRP: TERP PARAMETERS:/(1X,1P,10E12.4))')
+ 1 (TERP(I),I=1,NCAL)
+ ENDIF
+ DEALLOCATE(JARBVA,JDEBAR)
+ RETURN
+*----
+* MISSING ELEMENTARY CALCULATION EXCEPTION.
+*----
+ 200 WRITE(IOUT,'(16H SCRTRP: MUPLET=,10I4/(16X,10I4))')
+ 1 (MUPLET(I),I=1,NPAR)
+ CALL XABORT('SCRTRP: MISSING ELEMENTARY CALCULATION.')
+ 210 WRITE(IOUT,'(16H SCRTRP: MUPLET=,10I4/(16X,10I4))')
+ 1 (MUPLET(I),I=1,NPAR)
+ WRITE(IOUT,'(9X,7HNVALUE=,10I4/(16X,10I4))') (NVALUE(I),I=1,NPAR)
+ CALL XABORT('SCRTRP: DEGENERATE ELEMENTARY CALCULATION.')
+ END