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用的那个程序
C**********************************************************************
C *
C PROGRAM NOTES *
C *
C THIS PROGRAM USES EOF TO ANALYSIS TIME SERIES *
C OF METEOROLOGICAL FIELD *
C *
C**********************************************************************
C *
C ******** Parameter Table ********* *
C *
C Mt===>LENTH OF TIME SERIES *
C N ===>NUMBER OF GRID-POINTS ( or STATIONS ) *
C KS=-1, SELF; KS=0, DEPATURE; KS=1, STANDERDLIZED DEPATURE *
C KV = NUMBER OF EIGENVALUES WILL BE OUTPUT *
C KVT = NUMBER OF EIGENVECTORS AND TIME SERIES WILL BE OUTPUT *
C MNH = Minimum(Mt,N) *
C EGVT===>EIGENVECTORS, ECOF===>TIME COEFFICIENTS FOR EGVT *
C ER(KV,1)====>LAMDA; LAMDA===>EIGENVALUE *
C ER(KV,2)====>ACCUMULATE LAMDA *
C ER(KV,3)====>THE SUM OF COMPONENTS VECTORS PROJECTED ONTO *
C EIGENVACTOR. *
C ER(KV,4)====>ACCUMULATE ER(KV,3) *
C *
C**********************************************************************
PARAMETER(N=180*89, MT=53, MNH=53)
PARAMETER(KS=1, KV=5, KVT=5)
REAL F(N,MT),AVF(N),DF(N),ER(MNH,4)
REAL A(MNH,MNH),S(MNH,MNH),V(MNH)
c**************************************************************************************
c INFN－输入数据文件名；OUTERA－输出特征值及方差贡献、累积方差贡献的文件名（文本）;
c OUTTC1－输出时间系数文件（文本）；OUTTC2－输出时间系数文件（二进制）；
c OUTTEVT－输出特征向量文件（二进制）；
c**************************************************************************************
CHARACTER*50 INFN,OUTERA,OUTTC1,OUTTC2,OUTEVT
DATA INFN/'dec_sst.grd'/
DATA OUTERA/'dec_sst_OUTERA.txt'/
DATA OUTTC1/'dec_sst_OUTTC1.txt'/
DATA OUTTC2/'dec_sst_OUTTC2.DAT'/
DATA OUTEVT/'dec_sst_OUTTEVT.DAT'/
C---------------- Read ORIGINAL DATA ----------------------------
write(*,*)'Now is reading primative field !'
OPEN (8,FILE=INFN,FORM='UNFORMATTED',ACCESS='DIRECT',RECL=N)
DO IT=1,MT
READ (8,REC=IT)(F(IS,IT),IS=1,N)
END DO
pause
C************** START TO RUN EOF PROGRAM ******************************
WRITE(*,*)
write(*,*)' FIRST STEP'
write(*,*)' forming the initial matrix (F) by using TRANSF !'
CALL TRANSF(N,Mt,F,AVF,DF,KS)
WRITE(*,*)
write(*,*)' STEP 2'
write(*,*)' achiving the covariance matrix by using the FORMA !'
CALL FORMA(N,Mt,MNH,F,A)
WRITE(*,*)
write(*,*)' STEP 3 '
write(*,*)' caculating the eigenvalue and eigenvectors '
WRITE(*,*)' by using Jacob method !'
CALL JCB(MNH,A,S,0.001)
WRITE(*,*)
write(*,*)' STEP 4'
write(*,*)' arrange the eigenvalue and eigenvectors'
WRITE(*,*)' by using ARRANG !'
CALL ARRANG(MNH,A,ER,S)
WRITE(*,*)
write(*,*)' STEP 5'
write(*,*)' the caculation of standard eigenvectors'
WRITE(*,*)' by using TCOEFF !'
CALL TCOEFF(KVT,N,Mt,MNH,S,F,V,ER)
write(*,*)
write(*,*)' STEP 6'
write(*,*)' outputing eigenvalue and accumulation using OUTER !'
CALL OUTER(MNH,ER,OUTERA)
WRITE(*,*)
WRITE(*,*)' STEP 7'
write(*,*)' outputing the time coefficient of the eigenvecters !'
CALL OUTVT1(KVT,N,Mt,MNH,S,F,OUTTC1,OUTTC2)
WRITE(*,*)
WRITE(*,*)' STEP 8'
write(*,*)' outputing the eigenvecters !'
CALL OUTVT3(KVT,N,Mt,MNH,S,F,OUTEVT)
END
C *************** FINISH THE MAIN PROGRAM *****************************
C *
C SUBROUTINE FUNCTION *
C *
C THIS SUBROUTINE PRINTS ARRAY ER *
C ER(KV,1) FOR SEQUENCE OF EIGENVALUE FROM BIG TO SMALL *
C ER(KV,2) FOR EIGENVALUE FROM BIG TO SMALL *
C ER(KV,3) FOR SMALL LO=(LAMDA/TOTAL VARIANCE) *
C ER(KV,4) FOR BIG LO=SUM OF SMALL LO) *
C *********************************************************************
C -------- SAVING THE EIGENVALUE AND ERROR ---------------------------*
SUBROUTINE OUTER(MNH,ER,OUTERA)
DIMENSION ER(MNH,4)
CHARACTER*50 OUTERA
open (30,file=OUTERA)
WRITE(30,510)
WRITE(30,520)
WRITE(30,530) (IS,(ER(IS,J),J=1,4),IS=1,MNH)
CLOSE(30)
510 FORMAT(25X,'EIGENVALUE AND ANALYSIS ERROR')
520 FORMAT(5X,'N',8X,'LAMDA',10X,'SLAMDA',11X,'PH',12X,'SPH')
530 FORMAT(I6,2E15.6,2F15.5)
RETURN
END
C**********************************************************************
C SUBROUTINE FUNCTION *
C *
C THIS SUBROUTINE PRINTS STANDARD EIGENVECTORS *
C AND ITS TIME-COEFFICENT SERIES *
C**********************************************************************
C ------------- save time-coeffivcent seried of S.E. ------------
SUBROUTINE OUTVT1(KVT,N,M,MNH,S,F,OUTTC1,OUTTC2)
DIMENSION F(N,M),S(MNH,MNH)
CHARACTER*50 OUTTC1,OUTTC2
OPEN(31,file=OUTTC1)
OPEN(32,file=OUTTC2,FORM='UNFORMATTED',ACCESS='DIRECT',RECL=KVT)
WRITE(31,400)
WRITE(31,200) (IS,IS=1,KVT)
DO J=1,M
IF(M.GE.N) THEN
WRITE(31,300) J,(F(IS,J),IS=1,KVT)
WRITE(32,REC=J) (F(IS,J),IS=1,KVT)
ELSE
WRITE(31,300) J,(S(J,IS),IS=1,KVT)
WRITE(32,REC=J) (s(J,IS),IS=1,KVT)
ENDIF
END DO
CLOSE(31)
200 FORMAT(3X,10I15)
300 FORMAT(I5,10E15.7)
400 FORMAT(30X,'TIME-COEFFICENT SERIES OF S. E.')
RETURN
END
C --------- save standard eignvectors ------------------
SUBROUTINE OUTVT3(KVT,N,M,MNH,S,F,OUTEVT)
DIMENSION F(N,M),S(MNH,MNH)
CHARACTER*50 OUTEVT
OPEN(33,file=OUTEVT,FORM='UNFORMATTED',ACCESS='DIRECT',RECL=N)
DO JS=1,KVT
IF(M.GE.N) THEN
WRITE(33,REC=JS)(S(I,JS),I=1,N)
ELSE
WRITE(33,REC=JS)(F(I,JS),I=1,N)
ENDIF
END DO
CLOSE(33)
RETURN
END
C***********************************************************************
C SUBROUTINE FUNCTION *
C *
C THIS SUBROUTINE PROVIDES INITIAL F BY KS (optional parameter) *
C ks=-1, 0, or 1 according to primative field *
C***********************************************************************
SUBROUTINE TRANSF(N,M,F,AVF,DF,KS)
REAL F(N,M),AVF(N),DF(N)
IF (KS) 30,10,10
10 DO I=1,N
AVF(I)=0.0
DF(I)=0.0
END DO
DO I=1,N
DO J=1,M
AVF(I)=AVF(I)+F(I,J)
END DO
AVF(I)=AVF(I)/M
DO J=1,M
F(I,J)=F(I,J)-AVF(I)
END DO
END DO
IF (KS.EQ.1) THEN
DO I=1,N
DO J=1,M
DF(I)=DF(I)+F(I,J)*F(I,J)
END DO
DF(I)=SQRT(DF(I)/M)
DO J=1,M
F(I,J)=F(I,J)/DF(I)
END DO
END DO
END IF
30 CONTINUE
RETURN
END
C ----------------- FORMA -----------------------------
SUBROUTINE FORMA(N,M,MNH,F,A)
REAL F(N,M),A(MNH,MNH)
IF (M-N) 40,50,50
40 DO I=1,MNH
DO J=1,I
A(I,J)=0.0
DO IS=1,N
A(I,J)=A(I,J)+F(IS,I)*F(IS,J)
END DO
A(J,I)=A(I,J)
END DO
END DO
RETURN
50 DO I=1,MNH
DO J=1,I
A(I,J)=0.0
DO JS=1,M
A(I,J)=A(I,J)+F(I,JS)*F(J,JS)
END DO
A(J,I)=A(I,J)
END DO
END DO
RETURN
END
c***********************************************************************
C SUBROUTINE FUNCTION *
C *
C THIS SUBROUTINE COMPUTS EIGENVALUES AND EIGENVECTORS OF A *
c***********************************************************************
SUBROUTINE JCB(N,A,S,EPS)
DIMENSION A(N,N),S(N,N)
DO I=1,N
DO J=1,N
IF (I.EQ.J) THEN
S(I,J)=1.0
ELSE
S(I,J)=0.0
END IF
END DO
END DO
G=0.0
DO I=2,N
I1=I-1
DO J=1,I1
G=G+2.*A(I,J)*A(I,J)
END DO
END DO
S1=SQRT(G)
S2=EPS/FLOAT(N)*S1
S3=S1
L=0
50 S3=S3/FLOAT(N)
60 DO 130 IQ=2,N
IQ1=IQ-1
DO 130 IP=1,IQ1
IF(ABS(A(IP,IQ)).LT.S3) GOTO 130
L=1
V1=A(IP,IP)
V2=A(IP,IQ)
V3=A(IQ,IQ)
U=0.5*(V1-V3)
IF (U.EQ.0.0) G=1.
IF (ABS(U).GE.1E-10) G=-SIGN(1.,U)*V2/SQRT(V2*V2+U*U)
ST=G/SQRT(2.*(1.+SQRT(1.-G*G)))
CT=SQRT(1.-ST*ST)
DO I=1,N
G=A(I,IP)*CT-A(I,IQ)*ST
A(I,IQ)=A(I,IP)*ST+A(I,IQ)*CT
A(I,IP)=G
G=S(I,IP)*CT-S(I,IQ)*ST
S(I,IQ)=S(I,IP)*ST+S(I,IQ)*CT
S(I,IP)=G
END DO
DO I=1,N
A(IP,I)=A(I,IP)
A(IQ,I)=A(I,IQ)
END DO
G=2.*V2*ST*CT
A(IP,IP)=V1*CT*CT+V3*ST*ST-G
A(IQ,IQ)=V1*ST*ST+V3*CT*CT+G
A(IP,IQ)=(V1-V3)*ST*CT+V2*(CT*CT-ST*ST)
A(IQ,IP)=A(IP,IQ)
130 CONTINUE
IF (L-1) 150,140,150
140 L=0
GOTO 60
150 IF (S3.GT.S2) GOTO 50
RETURN
END
c**********************************************************************
C SUBROUTINE FUNCTION *
C *
C THIS SUBROUTINE PROVIDES A SERIES OF EIGENVALUES *
C FROM MAX TO MIN *
C**********************************************************************
SUBROUTINE ARRANG(MNH,A,ER,S)
DIMENSION A(MNH,MNH),ER(MNH,4),S(MNH,MNH)
TR=0.0
DO I=1,MNH
TR=TR+A(I,I)
ER(I,1)=A(I,I)
END DO
MNH1=MNH-1
DO K1=MNH1,1,-1
DO K2=K1,MNH1
IF(ER(K2,1).LT.ER(K2+1,1)) THEN
C=ER(K2+1,1)
ER(K2+1,1)=ER(K2,1)
ER(K2,1)=C
DO I=1,MNH
C=S(I,K2+1)
S(I,K2+1)=S(I,K2)
S(I,K2)=C
END DO
END IF
END DO
END DO
ER(1,2)=ER(1,1)
DO I=2,MNH
ER(I,2)=ER(I-1,2)+ER(I,1)
END DO
DO I=1,MNH
ER(I,3)=ER(I,1)/TR
ER(I,4)=ER(I,2)/TR
END DO
RETURN
END
C**********************************************************************
C THIS SUBROUTINE PROVIDES STANDARD EIGENVECTORS *
C (M.GE.N, SAVED IN S; M.LT.N, SAVED IN F) AND ITS TIME COEFFICENTS *
C SERIES (M.GE.N, SAVED IN F; M.LT.N, SAVED IN S) *
C**********************************************************************
SUBROUTINE TCOEFF(KVT,N,M,MNH,S,F,V,ER)
DIMENSION S(MNH,MNH),F(N,M),V(MNH),ER(MNH,4)
DO J=1,MNH
C=0.0
DO I=1,MNH
C=C+S(I,J)*S(I,J)
END DO
C=SQRT(C)
DO I=1,MNH
S(I,J)=S(I,J)/C
END DO
END DO
IF (M.GE.N) THEN
DO J=1,M
DO I=1,N
V(I)=F(I,J)
F(I,J)=0.0
END DO
DO IS=1,KVT
DO I=1,N
F(IS,J)=F(IS,J)+V(I)*S(I,IS)
END DO
END DO
END DO
ELSE
DO I=1,N
DO J=1,M
V(J)=F(I,J)
F(I,J)=0.0
END DO
DO JS=1,KVT
DO J=1,M
F(I,JS)=F(I,JS)+V(J)*S(J,JS)
END DO
END DO
END DO
DO JS=1,KVT
DO J=1,M
S(J,JS)=S(J,JS)*SQRT(ER(JS,1))
END DO
DO I=1,N
F(I,JS)=F(I,JS)/SQRT(ER(JS,1))
END DO
END DO
END IF
RETURN
END
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这个是特征向量图，不知道为什么是这样的
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窥视卡
雷达卡
发表于 2012-10-15 19:33:15
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发表于 2012-10-15 19:36:36
发表于 2012-10-15 19:40:56
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