- 积分
- 1807
- 贡献
-
- 精华
- 在线时间
- 小时
- 注册时间
- 2013-3-19
- 最后登录
- 1970-1-1
|
楼主 |
发表于 2017-5-1 20:06:48
|
显示全部楼层
- !!---------------------------------------------------------------------------!
- !!输入的有: !
- !! 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; !
- !! 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 !
- !! 的规则来确定; !
- !!输出的有: !
- !! 1.对RH作EOF的特征值和方差贡献; !
- !! 2.对RH作EOF的特征向量和时间系数; !
- !! 3.选择前NP个特征向量作旋转EOF的特征向量和时间系数; !
- !! 4.旋转前后主分量的相关矩阵; !
- !!---------------------------------------------------------------------------!
- PROGRAM reof
- parameter(nn=24,mm=98)
- parameter(np=13)
- 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
- ! 数组Mx、rh、lat、lon都是实型数组
- REAL MX,rh
- real lat(mm),lon(mm)
- real zero(nn)
- real stid(mm,2)
- character*8 id(mm)
- data zero/nn*0.0/
- OPEN(12,FILE='result_of_reof.txt') !旋转EOF的结果输出
- OPEN(11,file='nation.txt')
- OPEN(14,file='sta.grd',status='replace',form='binary')!REOF的结果sta.grd输出
- open(444,file='sjxs.grd',status='replace',form='binary')
- open(888,file='tzxl.txt',status='replace')
- ! 按站点读取原始资料
- do i=1,mm
- read(11,*)(rh(it,i),it=1,nn)
- end do
- close(11)
- print*,rh
- OPEN(13,file='lat_lon.txt')!lat lon
- do i=1,mm
- read(13,*)(stid(i,j),j=1,2)
- enddo
- do i=1,mm
- write(*,*)(stid(i,j),j=1,2)
- enddo
- !682 format(1x,'original data') ! !
- CALL STANDARD(NN,MM,RH)
- !cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
- ! 原始资料 c
- !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCccccccccccccccccccccccccccccccccccCCCCC
- !ccc !输出原始资料的标准化资料
- open(16,file='bzh.txt')
- do 786 i=1,nn
- ! write(12,683) j
- 786 write(16,1686) (rh(i,j),j=1,mm)
- 1686 format(98f6.2) !按格点数目改动
- !cccccccccccccccccccccccccccccccccccccccc
- 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,98f6.2)) !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)特征值')
- 204 format((1x,4f20.12))
- do 145 i=1,mm
- 145 ramda(i)=a(i,i)
- ! 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 解释方差')
- 208 format((1x,10f8.2))
- do 112 j=1,np
- write(12,110) j
- ! 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)
- ! open(33,file='unrottzxl.grd',form='binary')
- ! open(44,file='unrotsjxs.grd',form='binary')
- ! open(55,file='unrottzxl.txt')
- !! 下面是按GrADs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)
- !ccccccccccccccccccccccccccccccccccccccc
- ! 未旋转前时间系数 C
- !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
- open(18,file='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)
- !cccccccccccccccccccccccccccccccccccccccc
- 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)
- ! 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.')
- ! 以下就是因子分析和旋转主成分分析部分
- !
- !cccccccccccccccccccccccccccccccc
- 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)
-
- !ccccccccccccccccccccccccccccccccccccccccc
- ! 旋转后时间系数 C
- !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
- open(2,file='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)
- !cccccccccc
- 988 format((1X,10f6.2))
- close(12)
- ! 下面是按GrADs站点资料的方式存取
- tim=0.0
- do 100 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(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(13)
- close(444)
- close(14)
- close(888)
- end
- !cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
- !****************************************************************************
- 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)/(sqrt(sxx-fn*xmean**2)*sqrt(syy-fn*ymean**2))
- return
- end
- !****************************************************************************
- 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),WBT(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
- !**************************************************************************
- ! 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
- !***************************************************************************
- 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
- !*************************************************************************
- 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
|
|