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楼主 |
发表于 2012-10-17 09:21:23
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river 发表于 2012-10-17 08:37
代码贴出来看呗，没多少钱下载唉
c!输入的有: !
c! 1.RH(nn,mm),需作旋转EOF的矩阵,注意nn代表时间,mm代表站点或格点; !
c! 2.NP(整型):需要作旋转EOF的特征向量的个数;(一般对RH作EOF后由一定 !
c! 的规则来确定; !
c!输出的有: !
c! 1.对RH作EOF的特征值和方差贡献; !
c! 2.对RH作EOF的特征向量和时间系数; !
c! 3.选择前NP个特征向量作旋转EOF的特征向量和时间系数; !
c! 4.旋转前后主分量的相关矩阵; !
c!---------------------------------------------------------------------------!
C 需修整的语句的前一行用‘!!!!!!!!!!!!!!!!!!!!’做标记
PROGRAM reof
parameter(nn=30,mm=115680)
parameter(np=10)
DIMENSION RH(nn,mm),B(nn,np),reco(nn,mm)
DIMENSION A(mm,mm),V(mm,mm),RAMDA(mm),RC(np,np),X(nn),Y(nn),h(mm),
& MX(mm),XW(mm),RR(np,np),ST(np)
DIMENSION U(mm),VR(mm),WT(mm),WK(mm),WBT(nn),WBK(nn)
DIMENSION VRLV(60)
INTEGER T,K
C 数组Mx、rh、lon、lat都是实型数组
REAL MX,rh
real lon(mm),lat(mm)
real zero(nn)
real stid(mm,2)
character*8 id(mm)
data zero/nn*0.0/
c !!!!!!!!!!!!!!!!!!!!!!!!!!!
OPEN(12,FILE='D:\model\CFSR\REOF\reof.txt') !旋转EOF的结果输出
open(13,file='D:\model\CFSR\REOF\480x241.dat')!lon lat
c !!!!!!!!!!!!!!!!!!!!!!!!!!!
open(14,file='D:\model\CFSR\REOF\tzxl5.grd',form='binary')!旋转EOF的结果t
c zxl输出
c!!!!!!!!!!!!!!!!!!!!!!!!!!!!
open(11,file='D:\model\CFSR\REOF\springchina8110.grd',form='binary
&')
c 按年读取原始资料
do it=1,nn
read(11)(rh(it,i),i=1,mm)
end do
close(11)
print*,rh
ccccc
c682 format(1x,'original data') ! !
CALL STANDARD(NN,MM,RH)
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
c 原始资料 c
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCccccccccccccccccccccccccccccccccccCCCCC
cccc !输出原始资料的标准化资料
c !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
open(16,file='D:\model\CFSR\REOF\bzh.txt')
do 786 i=1,nn
c write(12,683) j
786 write(16,1686) (rh(i,j),j=1,mm)
1686 format(115680f6.2) !按格点数目改动
ccccccccccccccccccccccccccccccccccccccccc
rnn=real(nn)
DO 12 J=1,mm
DO 12 J1=1,mm
A(J,J1)=0.0
DO 13 I=1,nn
13 A(J,J1)=A(J,J1)+RH(I,J)*RH(I,J1)/rnn
12 continue
write(12,101)
write(12,102) ((A(i,j),j=1,mm),i=1,mm)
101 format(/1x,'原始资料的相关矩阵A')
102 format((1X,115680f6.2)) !按格点数目改动
sum=0.0
do 80 k=1,mm
sum=sum+A(k,k)
80 continue
write(12,103) sum
103 format(1x,' 相关矩阵A的维数 ==',f15.4)
call jcb(mm,a,v,0.00001)
call jcb1(mm,a,v)
write(12,104)
write(12,204)(a(i,i),i=1,mm)
104 format(//1x,' Eigenvalue(lambad)')
204 format((1x,4f20.12))
do 145 i=1,mm
145 ramda(i)=a(i,i)
c write(12,104) ramda
sum2=0.0
do 222 k=1,mm
222 sum2=sum2+A(k,k)
write(12,106) sum2
write(12,909)
909 format(/3x,'特征值的总和必须等于相关矩阵A的维数!')
err=abs(sum-sum2)
if(err.lt.0.001) write(12,681) err
if(err.ge.0.001) write(12,482) err
681 format(//1x,' ok 1 err= ',f9.4)
482 format(//1x,' in error err= ',f9.4)
106 format(1x,'THE SUM OF LAMBAD',f12.4)
do 25 k=1,mm
25 mx(k)=100.0*a(k,k)/sum
write(12,108)
write(12,208) mx
108 format(//1x,'The percentage of lambad')
208 format((1x,10f8.2))
do 112 j=1,np
write(12,110) j
c write(*,'(10f8.3)')(v(i,j),i=1,mm)
112 write(12,210) (v(i,j),i=1,mm)
110 format(1x,'旋转前的特征向量或荷载.order:',I3)
210 format((1x,10f8.3))
do 50 it=1,nn
do 47 jj=1,mm
47 xw(jj)=rh(it,jj)
do 50 j=1,mm
rh(it,j)=0.0
do 54 k=1,mm
54 rh(it,j)=rh(it,j)+xw(k)*v(k,j)
50 continue
do 400 j=1,np
write(12,125) j
400 write(12,805) (rh(i,j),i=1,nn)
c !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
open(33,file='D:\model\CFSR\REOF\unrottzxl.grd',form='binary')
c !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
open(44,file='D:\model\CFSR\REOF\unrotsjxs.grd',form='binary')
c !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
open(55,file='D:\model\CFSR\REOF\unrottzxl.txt')
read(13,*)((stid(i,j),j=1,2),i=1,mm)
c 下面是按站点资料的方式存取
tim=0.0
do 97, i=1,mm
id(i)=char(i)
lat(i)=stid(i,1) !!!纬度 第一列
lon(i)=stid(i,2) !!!经度 第二列
tim=0.0
nlev=1
nflag=1
write(33)id(i),lat(i),lon(i),tim,nlev,nflag,(v(i,j),j=1,np)
97 continue
nlev=0
write(33)id(i-1),lat(i-1),lon(i-1),tim,nlev,nflag
do i=1,mm
write(55,'(i8,28f8.3)')i,lat(i),lon(i),(v(i,j),j=1,np)
enddo
write(44)((rh(i,j),j=1,np),zero(i),i=1,nn)
close(13)
close(33)
close(44)
close(55)
cccccccccccccccccccccccccccccccccccccccc
C 未旋转前时间系数 C
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
c !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
open(18,file='D:\model\CFSR\REOF\unrot_time.txt')
do 787 i=1,nn
787 write(18,1688)i+1950,(rh(i,j),j=1,np)
1688 format(i4,10f8.3)
ccccccccccccccccccccccccccccccccccccccccc
125 format(/1x,'旋转前的时间系数(PC).order',i3)
do 772 j=1,mm
do 772 it=1,nn
reco(it,j)=0.0
do 773 k=1,mm
773 reco(it,j)=reco(it,j)+v(j,k)*rh(it,k)
772 continue
write(12,982)
c 按站输出重构的资料序列
do 986 j=1,mm
write(12,683) j
986 write(12,686) (reco(i,j),i=1,nn)
982 format(/1x,'Reconstructed data(for inspect) ')
683 format(1x,'Number station',i3)
686 format((1x,10f8.2))
write(12,238)
238 format(//3x,'To inspect perpendicularty and variance of PC')
write(12,258)
258 format(/1X,'The covariance martix of first NP principal companent
*:')
do 234 j1=1,np
do 234 j2=1,np
rr(j1,j2)=0.0
do 235 it=1,nn
rr(j1,j2)=rr(j1,j2)+rh(it,j1)*rh(it,j2)/rnn
235 continue
234 continue
do 366 j1=1,np
366 write(12,266) (rr(j1,j2),j2=1,np)
266 format(3x,10f8.3)
write(12,269)
write(12,469)
write(12,669)
write(12,869)
269 format(//4x,'Variance of each time coefficient(PC) must be equal')
469 format(/1x,'to corresponding eigenvalue.')
669 format(/4x,'The covariance between PC each other must be equal ')
869 format(/1x,' to zero.')
C 以下就是因子分析和旋转主成分分析部分
c
ccccccccccccccccccccccccccccccccc
DO 333 J=1,np
DO 333 I=1,mm
V(I,J)=V(I,J)*SQRT(RAMDA(J))
333 CONTINUE
write(12,782)
782 format(//1x,' ok 2')
do 321 j=1,np
do 323 i=1,mm
323 a(i,j)=v(i,j)
do 325 it=1,nn
325 rh(it,j)=rh(it,j)/sqrt(ramda(j))
321 continue
do 20 i=1,mm
H(I)=0.0
do 21 j=1,np
21 H(i)=H(i)+A(i,j)**2
20 continue
do 23 i=1,mm
23 h(i)=sqrt(h(i))
do 702 j=1,np
st(j)=0.0
do 703 i=1,mm
703 st(j)=st(j)+a(i,j)**2
702 continue
su=0.0
do 704 j=1,np
704 su=su+st(j)
write(12,801)
801 format(/1x,'Sum of squared element of each colum of the loading
*martix(first NPcolum)')
write(12,805) st
805 format((1x,10f8.3))
write(12,901)
901 format(/1x,'Sum of squared element of first NP colum of loading
&matrix')
write(12,905) su
905 format((1x,f12.3))
do 346 j=1,np
do 346 it=1,nn
346 b(it,j)=rh(it,j)
lll=0
vrlv0=0.0
do 230 k=1,np
g1=0.0
g2=0.0
do 434 i=1,mm
g1=g1+(a(i,k)**2/h(i)**2)**2/real(mm)
434 g2=g2+(a(i,k)**2/h(i)**2)/real(mm)
g2=g2**2
vrlv0=vrlv0+g1-g2
230 continue
800 continue
do 505 t=1,np
do 505 k=1,np
if(t.ge.k) goto 505
call rot(a,b,h,t,k,mm,nn,np,u,vr,wt,wk,wbt,wbk)
505 continue
lll=lll+1
vrlv(lll)=0.0
do 530 k=1,np
g1=0.0
g2=0.0
do 534 i=1,mm
g1=g1+(a(i,k)**2/h(i)**2)**2/real(mm)
534 g2=g2+(a(i,k)**2/h(i)**2)/real(mm)
g2=g2**2
vrlv(lll)=vrlv(lll)+g1-g2
530 continue
if(lll.lt.2) goto 800
ci=(vrlv(lll)-vrlv(lll-1))/vrlv0
if(ci.lt.0.01) goto 600
if(lll.ge.52) goto 600
goto 800
600 continue
write(12,538)
write(12,549)
write(12,539) vrlv0,(vrlv(k),k=1,lll)
538 format(//1x,'Sum of variance of squared element of each colum of
& rotated loding martix ')
549 format(1x,'at each circulation')
539 format((1x,10f8.3))
do 802 j=1,np
st(j)=0.0
do 803 i=1,mm
803 st(j)=st(j)+a(i,j)**2
802 continue
su=0.0
do 804 j=1,np
804 su=su+st(j)
write(12,701)
701 format(/5x,'Sum of squared element of each of the first NP rotated
* loading vector')
write(12,806) st
806 format((1x,10f12.5))
write(12,472)
472 format(/1x,'Sum of squared element of rotated loading matrix')
write(12,806) su
do 971 j=1,np
write(12,117) j
971 write(12,805) (a(i,j),i=1,mm)
117 format(1x,'旋转后的荷载（ROTATED LOADING VECTOR，
*简称RLV) ordre:',i3)
cccccccccccccccccccccccccccccccccccccccccc
C 旋转后时间系数 C
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
c !!!!!!!!!!!!!!!!!!!!!!!!!!!!!
open(2,file='D:\model\CFSR\REOF\rot_time.txt')
do 401 i=1,nn
write(2,809)(b(i,j),j=1,np)
401 continue
809 format(10f8.3)
close(2)
close(18)
do 906 j=1,np
write(12,127) j
906 write(12,805) (b(i,j),i=1,nn)
127 format(/1x,'旋转主分量(RPC).order:',i3)
do 945 i=1,np
do 945 j=1,np
do 966 it=1,nn
x(it)=rh(it,i)
966 y(it)=b(it,j)
945 rc(i,j)=sokan(nn,x,y)
write(12,888)
888 format(//1X,'旋转前后主分量的相关距阵')
do 977 i=1,np
977 write(12,988) (rc(i,j),j=1,np)
ccccccccccc
988 format((1X,10f6.2))
close(12)
c !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
open(444,file='D:\model\CFSR\REOF\sjxs.grd',form='binary')
c !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
c !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
open(888,file='D:\model\CFSR\REOF\tzxl.txt')
ccccccccccccccccccccccc
tim=0.0
do 100 i=1,mm
tim=0.0
nlev=1
nflag=1
write(14)id(i),lat(i),lon(i),tim,nlev,nflag,(a(i,j),j=1,np)
100 continue
nlev=0
write(14)id(i-1),lat(i-1),lon(i-1),tim,nlev,nflag
do i=1,mm
write(888,'(i8,28f8.3)')i,lat(i),lon(i),(a(i,j),j=1,np)
enddo
write(444)((b(i,j),j=1,np),zero(i),i=1,nn)
close(444)
close(14)
close(777)
close(888)
end
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
c****************************************************************************
function sokan(n,xx,yy)
dimension xx(n),yy(n)
sx=0.0
sy=0.0
sxy=0.0
sxx=0.0
syy=0.0
do 10 i=1,n
sx=sx+xx(i)
sy=sy+yy(i)
sxy=sxy+xx(i)*yy(i)
sxx=sxx+xx(i)**2
syy=syy+yy(i)**2
10 continue
fn=real(n)
xmean=sx/fn
ymean=sy/fn
sokan=(sxy-fn*xmean*ymean)/
1(sqrt(sxx-fn*xmean**2)*sqrt(syy-fn*ymean**2))
return
end
c****************************************************************************
subroutine rot(a,b,h,t,k,mm,nn,np,u,vr,wt,wk,wbt,wbk)
dimension A(mm,mm),B(nn,np),H(mm),U(mm),VR(mm),WT(mm),WK(mm),
1WBT(nn),WBK(nn)
integer t,k
do 25 i=1,mm
u(i)=(a(i,t)/h(i))**2-(a(i,k)/h(i))**2
25 vr(i)=2.0*(a(i,t)/h(i))*(a(i,k)/h(i))
c=0.0
d=0.0
s=0.0
g=0.0
do 30 i=1,mm
c=c+(u(i)**2-vr(I)**2)
d=d+2.0*u(i)*vr(i)
s=s+u(i)
30 g=g+vr(i)
tg1=d-2.0*s*g/mm
tg2=c-(s**2-g**2)/mm
fi=atan2(tg1,tg2)/4.0
do 75 i=1,mm
wt(i)=a(i,t)
75 wk(i)=a(i,k)
do 84 kk=1,nn
wbt(kk)=b(kk,t)
84 wbk(kk)=b(kk,k)
do 78 i=1,mm
a(i,t)=wt(i)*cos(fi)+wk(i)*sin(fi)
78 a(i,k)=wt(i)*(-sin(fi))+wk(i)*cos(fi)
do 89 it=1,nn
b(it,t)=wbt(it)*cos(fi)+wbk(it)*sin(fi)
89 b(it,k)=wbt(it)*(-sin(fi))+wbk(it)*cos(fi)
return
end
c**************************************************************************
c m是站点数目
subroutine jcb1(m,a,s)
dimension a(m,m),s(m,m)
do 20 i=1,m-1
w=a(i,i)
k=i
do 30 j=i+1,m
if(a(j,j).le.w) go to 30
W=A(J,J)
K=J
30 CONTINUE
A(K,K)=A(I,I)
A(I,I)=W
DO 70 L=1,m
W1=S(L,I)
S(L,I)=S(L,K)
S(L,K)=W1
70 CONTINUE
20 CONTINUE
RETURN
END
C***************************************************************************
SUBROUTINE JCB(M,A,S,EPS)
DIMENSION A(M,M),S(M,M)
DO 30 I=1,M
DO 30 J=1,I
IF(I-J)20,10,20
10 S(I,J)=1.0
GO TO 30
20 S(I,J)=0.0
S(J,I)=0.0
30 CONTINUE
G=0.0
DO 40 I=2,M
I1=I-1
DO 40 J=1,I1
40 G=G+2.0*A(I,J)*A(I,J)
S1=SQRT(G)
S2=EPS/FLOAT(M)*S1
S3=S1
L=0
50 S3=S3/FLOAT(M)
60 DO 130 IQ=2,M
IQ1=IQ-1
DO 130 IP=1,IQ1
IF(ABS(A(IP,IQ)).LT.S3) GO TO 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 110 I=1,M
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
110 S(I,IP)=G
DO 120 I=1,M
A(IP,I)=A(I,IP)
120 A(IQ,I)=A(I,IQ)
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 coff(x,y,n0)
c real x(n0),y(n0)
c ax=0
c ay=0
c xy=0
c xx=0
c yy=0
c do 11 i=1,n0
c ax=ax+x(i)
c ay=ay+y(i)
c xy=xy+x(i)*y(i)
c xx=xx+x(i)**2
c yy=yy+y(i)**2
c11 continue
c ax=ax/n0
c ay=ay/n0
c if((yy-n0*ay**2).eq.0)then
c r=0.0
c else
c r=(xy-n0*ax*ay)/(sqrt(xx-n0*ax**2)*sqrt(yy-n0*ay**2))
c endif
c write(*,*)r
c end
C
subroutine standard(n,m,x) !m为格点数，n为时间长度
dimension x(n,m)
do j=1,m
ave=0.0
do i=1,n
ave=ave+x(i,j)/float(n)
enddo
xigma=0.0
do i=1,n
xigma=xigma+(x(i,j)-ave)**2/float(n)
enddo
xigma=sqrt(xigma)
do i=1,n
x(i,j)=(x(i,j)-ave)/xigma
enddo
enddo
end
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窥视卡
雷达卡
发表于 2012-10-16 12:44:37
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抢沙发
千斤顶
显身卡
成长值: 19710
发表于 2012-10-16 13:04:47
发表于 2012-10-16 20:23:45
成长值: 0