*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