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c ======================================================= |
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c SUBROUTINES AND FUNCTIONS |
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c ======================================================= |
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|
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c ----------------------------- |
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subroutine fwidth(npt,np,num,rad,avc,widthc,bverb) |
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cc call fwidth(npt,np,num,rad,avc,idthc) |
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implicit real*8(a,c-h,o-z) |
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CC IMP. log. now 'b', not 'q' ('q' was already taken) |
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implicit logical(b) |
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parameter(nn=4000) |
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parameter(nx0=100) |
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dimension rad(npt), avc(npt), widthc(3) |
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dimension dx(nn), sumker(nn), qq(3) |
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dimension fb(10),y(nn) |
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|
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q1=0.25d0 |
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q2=0.5d0 |
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q3=0.75d0 |
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|
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|
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do 100 j=1,np-1 |
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dx(j)=rad(j)-rad(j+1) |
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100 continue |
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|
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k=1 |
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sum=0.d0 |
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sumker(1)=0.d0 |
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do 300 j=1,np-1 |
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sker=0.5d0*(avc(j)+avc(j+1)) |
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sum=sum+dx(j)*sker |
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sumker(j+1)=sum |
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cc write(72,*)rad(j), avc(j),sumker(j+1) |
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300 continue |
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200 continue |
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|
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j=1 |
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anor=sumker(np) |
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if(bverb)then |
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print*, 'anor ', anor |
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endif |
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do 400 i=1,np |
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sumker(i)=sumker(i)/anor |
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cc write(82,*)rad(i), sumker(i) |
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400 continue |
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if(bverb) print*, sumker(i),sumker(np) |
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410 continue |
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|
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ntab=np |
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reps=1.d-5 |
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|
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j=1 |
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do 1010 i=1,np |
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y(i)=sumker(i) |
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1010 continue |
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nuse=4 |
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call DIVDIF(q1,y,rad,NUSE,NTAB,FB,REPS,IER,DFB,DDFB) |
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widthc(1)=fb(nuse) |
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nuse=4 |
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call DIVDIF(q2,y,rad,NUSE,NTAB,FB,REPS,IER,DFB,DDFB) |
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widthc(2)=fb(nuse) |
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nuse=4 |
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call DIVDIF(q3,y,rad,NUSE,NTAB,FB,REPS,IER,DFB,DDFB) |
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widthc(3)=fb(nuse) |
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1000 continue |
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if(bverb) print*,'wid ', widthc |
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|
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return |
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end |
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c ------------------------- |
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c SUBROUTINE WHICH CALLS LAPACK ROUTINES |
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c ===================================== |
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|
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subroutine solve(la,lb,norder,nrhs,a,b,ierr,ipiv,qverb) |
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implicit real*8(a-h,o-p,r-z) |
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implicit logical(q) |
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character*1 trans, uplo |
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|
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dimension a(la,norder), b(lb,nrhs), ipiv(norder) |
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dimension work (10000) |
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|
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lwork=10000 |
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uplo='u' |
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call dsytrf(uplo, norder, a ,la, ipiv, work, lwork, ier) |
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if(ier.ne.0)then |
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print*,'error in transformation', ier |
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endif |
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|
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trans='N' |
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uplo='u' |
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call dsytrs(uplo,norder,nrhs,a,la,ipiv,b,lb,ierr) |
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if(qverb) print*, 'solution ier', ierr |
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return |
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end |
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|
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|
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FUNCTION NEARST(XB,X,NTAB) |
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implicit real*8(a-h,o-z) |
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DIMENSION X(NTAB) |
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|
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LOW=1 |
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IGH=NTAB |
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IF(.NOT.(XB.LT.X(LOW).EQV.XB.LT.X(IGH))) THEN |
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|
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|
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1500 IF(IGH-LOW.GT.1) THEN |
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MID=(LOW+IGH)/2 |
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IF(XB.LT.X(MID).EQV.XB.LT.X(LOW)) THEN |
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LOW=MID |
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ELSE |
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IGH=MID |
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ENDIF |
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GO TO 1500 |
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ENDIF |
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ENDIF |
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|
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IF(ABS(XB-X(LOW)).LT.ABS(XB-X(IGH))) THEN |
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NEARST=LOW |
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ELSE |
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NEARST=IGH |
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ENDIF |
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END |
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|
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c -------------------------------------------------- |
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|
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SUBROUTINE DIVDIF(XB,X,F,NUSE,NTAB,FB,REPS,IER,DFB,DDFB) |
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implicit real*8(a-h,o-z) |
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PARAMETER(NMAX=10) |
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DIMENSION X(NTAB),F(NTAB),FB(*),XN(NMAX),XD(NMAX) |
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|
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NEXT=NEARST(XB,X,NTAB) |
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FB(1)=F(NEXT) |
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XD(1)=F(NEXT) |
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XN(1)=X(NEXT) |
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IER=0 |
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PX=1.0 |
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|
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DFB=0.0 |
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DDFB=0.0 |
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DPX=0.0 |
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DDPX=0.0 |
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|
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IP=NEXT |
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IN=NEXT |
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|
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NIT=MIN0(NMAX,NUSE,NTAB) |
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IF(NUSE.GT.NMAX.OR.NUSE.GT.NTAB) IER=12 |
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IF(NUSE.LT.1) THEN |
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IER=11 |
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NIT=MIN0(6,NTAB,NMAX) |
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ENDIF |
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NUSE=1 |
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|
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DO 5000 J=2,NIT |
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|
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IF(IN.LE.1) GO TO 2200 |
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IF(IP.GE.NTAB) GO TO 2000 |
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IF(ABS(XB-X(IP+1)).LT.ABS(XB-X(IN-1))) GO TO 2200 |
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2000 IN=IN-1 |
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NEXT=IN |
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GO TO 2800 |
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2200 IP=IP+1 |
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NEXT=IP |
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|
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2800 XD(J)=F(NEXT) |
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XN(J)=X(NEXT) |
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DO 3000 K=J-1,1,-1 |
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3000 XD(K)=(XD(K+1)-XD(K))/(XN(J)-XN(K)) |
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|
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DDPX=DDPX*(XB-XN(J-1))+2.*DPX |
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DPX=DPX*(XB-XN(J-1))+PX |
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DFB=DFB+DPX*XD(1) |
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DDFB=DDFB+DDPX*XD(1) |
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|
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PX=PX*(XB-XN(J-1)) |
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ERR=XD(1)*PX |
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FB(J)=FB(J-1)+ERR |
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NUSE=J |
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|
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IF(ABS(ERR).LT.REPS) RETURN |
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5000 CONTINUE |
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|
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IER=24 |
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END |
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|
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c ------------------------------------------- |
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|
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SUBROUTINE GAUELM(N,NUM,A,X,DET,INT,LJ,IER,IFLG) |
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implicit real*8(a-h,o-z) |
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DIMENSION A(LJ,N),INT(N),X(LJ,NUM) |
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|
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IF(N.LE.0.OR.N.GT.LJ) THEN |
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IER=111 |
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RETURN |
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ENDIF |
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|
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IER=122 |
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IF(IFLG.LE.1) THEN |
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DET=1.0 |
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DO 2600 K=1,N-1 |
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R1=0.0 |
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DO 2200 L=K,N |
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IF(ABS(A(L,K)).GT.R1) THEN |
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R1=ABS(A(L,K)) |
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KM=L |
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ENDIF |
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2200 CONTINUE |
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|
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INT(K)=KM |
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IF(KM.NE.K) THEN |
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DO 2300 L=K,N |
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T1=A(K,L) |
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A(K,L)=A(KM,L) |
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2300 A(KM,L)=T1 |
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DET=-DET |
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ENDIF |
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|
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DET=DET*A(K,K) |
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IF(A(K,K).EQ.0.0) RETURN |
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C IF(ABS(A(K,K)).LT.REPS) RETURN |
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DO 2500 L=K+1,N |
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A(L,K)=A(L,K)/A(K,K) |
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DO 2500 L1=K+1,N |
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2500 A(L,L1)=A(L,L1)-A(L,K)*A(K,L1) |
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2600 CONTINUE |
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DET=DET*A(N,N) |
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INT(N)=N |
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IF(A(N,N).EQ.0.0) RETURN |
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C IF(ABS(A(N,N)).LT.REPS) RETURN |
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|
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IER=0 |
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IF(IFLG.EQ.1) THEN |
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IFLG=2 |
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RETURN |
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ENDIF |
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IFLG=2 |
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ENDIF |
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|
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IER=0 |
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DO 5000 J=1,NUM |
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DO 3000 K=1,N-1 |
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IF(K.NE.INT(K)) THEN |
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T1=X(K,J) |
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X(K,J)=X(INT(K),J) |
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X(INT(K),J)=T1 |
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ENDIF |
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DO 3000 L=K+1,N |
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3000 X(L,J)=X(L,J)-A(L,K)*X(K,J) |
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|
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X(N,J)=X(N,J)/A(N,N) |
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DO 3300 K=N-1,1,-1 |
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DO 3200 L=N,K+1,-1 |
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3200 X(K,J)=X(K,J)-X(L,J)*A(K,L) |
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3300 X(K,J)=X(K,J)/A(K,K) |
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5000 CONTINUE |
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END |
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