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bayes_cl.f
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bayes_cl.f
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PROGRAM BAYES
C***********************************************************************
C Details in Hansen (2008)
C***********************************************************************
PARAMETER (NMAX=1000)
PARAMETER (NDIST=5000)
C maximum 1000 points used for data or relaxation spectrum
C maximum 5000 distributions
REAL A(NMAX,NMAX),B(NMAX,NMAX),FT(NMAX,NMAX),SMEAR(NMAX,NMAX)
REAL X(NMAX),Y(NMAX),SD(NMAX),XF(NMAX),F(NMAX),u(nmax,nmax)
REAL M(NMAX),YSUM(NMAX),FM(NMAX),w(nmax),w2(nmax)
real sigma(nmax),sigf(nmax)
real ftot(nmax,ndist),prob(ndist),xmean(ndist),qmin,dot(ndist)
integer clock,clockold
common r11,r12,r21,r22,rl11,rl12,rl21,rl22
common rlam1,rlam2,dlam1,dlam2,ntot1,ntot2
common /cputime/ clockold,cpumax
CHARACTER*28 ANAME
character*22 redaname
chARACTER*30 BNAME,aaname
character*32 fit1name,fit2name
CHARACTER*33 hxname
CHARACTER*34 KNAME,LNAME
CHARACTER*35 PNAME,QNAME,in1name,in2name,dataname,diamname
character*40 xin1name,xin2name
CHARACTER*36 FNAME
CHARACTER*6 CHAR
CHARACTER*1 ANSWER,test
character*40 dummy
character(len=32) arg
real pi
PI=3.14159
C********************************************************************
c max cpu time in seconds
cpumax=120
call system_clock(clock)
clockold=clock
call getarg(1,arg)
aname=arg
write(6,*)'Name of data file read from command-line'
write(6,*)'Value for input parameters read from file inputfile.d'
c 1 WRITE(6,3)
c 3 FORMAT(1X,'Write name of the inputfile => ',$)
4 FORMAT(A)
bname='me'//ANAME
FNAME='trans_'//BNAME
fit1name='fit1'//aname
fit2name='fit2'//aname
LNAME='tot_'//BNAME
hxname='in_'//bname
PNAME='prob_'//BNAME
OPEN(1,FILE=ANAME,STATUS='UNKNOWN')
OPEN(40,FILE=PNAME,STATUS='UNKNOWN')
10 format(1X,'#',3x,'alpha',8X,'Chi-square',5X,' N_g ',
-8X,'Evidence',6X,'Check')
write(40,10)
OPEN(2,FILE=BNAME,STATUS='UNKNOWN')
write(6,4)aname
open(55,file='inputfile.d',status='unknown')
qmin=0
WRITE(6,131)
131 FORMAT(1X,'wmin <enter> => ',$)
read(55,4)dummy
if(dummy.ne.' ') then
open(unit=50,file='dummy.d',status='unknown')
write(50,4)dummy
close(50)
open(unit=50,file='dummy.d',status='unknown')
read(50,*)qmin
close(50)
endif
qmax=1.e10
WRITE(6,132)
132 FORMAT(1X,'wmax or <enter> => ',$)
read(55,4)dummy
if(dummy.ne.' ') then
open(unit=50,file='dummy.d',status='unknown')
write(50,4)dummy
close(50)
open(unit=50,file='dummy.d',status='unknown')
read(50,*)qmax
close(50)
endif
mtot=0
OPEN(1,FILE=aname,STATUS='UNKNOWN')
c************************************************************
c skipping text lines in data file and writing data to dummy
c*************************************************************
nofm=0
open(111,file='dummy.d',status='unknown')
ndata=0
2 if(ndata.ge.1) goto 8
22 continue
read(1,*,err=2,end=8)x1,y1,sd1
ndata=ndata+1
write(111,*)x1,y1,sd1
goto 22
8 rewind(111)
close(111)
rewind(111)
close(1)
if(ndata.lt.350) then
OPEN(1,FILE='dummy.d',STATUS='unknown')
x1sum=x1
goto 7777
endif
c****************************************************************
c if ndata > 350 reading data from dummy and rebinning into dummy2
c****************************************************************
nr=ndata/350
nr2=ndata/nr
nrest=ndata-nr2*nr
write(6,*)nr,nr2,nrest
c nr: rebin no.
c nr2(+1): number of data points used (after rebinning)
open(111,file='dummy.d',status='old')
open(1,file='dummy2.d',status='unknown')
if(nrest.eq.0) goto 1310
x1sum=0
y1sum=0
sd1sum=0
do 1311 i=1,nrest
read(111,*)x1,y1,sd1
x1sum=x1sum+x1
y1sum=y1sum+y1
sd1sum=sd1sum+sd1**2
1311 continue
x1sum=x1sum/nrest
y1sum=y1sum/nrest
sd1sum=sqrt(sd1sum)/nrest
write(1,*)x1sum,y1sum,sd1sum
1310 do 1313 j=1,nr2
x1sum=0
y1sum=0
sd1sum=0
do 1312 i=1,nr
read(111,*)x1,y1,sd1
x1sum=x1sum+x1
y1sum=y1sum+y1
sd1sum=sd1sum+sd1**2
1312 continue
x1sum=x1sum/nr
y1sum=y1sum/nr
sd1sum=sqrt(sd1sum)/nr
write(1,*)x1sum,y1sum,sd1sum
1313 continue
close(1)
OPEN(1,FILE='dummy2.d',STATUS='old')
c****************************************************************
c Reading data from dummy3 using only points within [q_min;q_max]
c Adding points to constrain S(q) -> 1 for q > qmax/1.6
c The number 1.6 should probably be changed to 2.0 or even larger.
c The error of the added points may also be changed to ensure that
c S(q) -> 1
c Change the constraints for S(q) here:
c****************************************************************
7777 close(111)
mtot=0
sdmax=0.
do 7 i=1,10000
c 5 READ(1,err=652,end=7)Xi,Yi,sdi problem here!!!!!!!!!!!!!!
5 READ(1,*,err=7,end=7)Xi,Yi,sdi
c write(6,*)i,xi,yi,sdi
if((xi.ge.qmin).and.(xi.le.qmax)) then
mtot=mtot+1
x(mtot)=xi
Y(mtot)=yi
sd(mtot)=sdi
if(sdi.gt.sdmax) sdmax=sdi
c write(6,*)xi,yi,sdi,mtot
endif
798 continue
7 continue
close(1)
652 OPEN(24,FILE=HxNAME,STATUS='UNKNOWN')
mtot7=mtot
write(24,*)'#--------------------------------------------------'
write(24,*)'# Data'
write(24,*)'# Format: (frequency, modulus, standard deviation)'
write(24,*)'# First part of file: elastic modulus'
write(24,*)'# Second part of file: loss modulus'
write(24,*)'# Standard deviation was calculated from raw data'
write(24,*)'#--------------------------------------------------'
DO 201 I=1,MTOT
if(sd(i).eq.0) sd(i)=sdmax
WRITE(24,*)X(I),Y(I),sd(i)
if(x(i).le.0.0) mtot7=-1
if(sd(i).le.0.0) mtot7=-2
201 CONTINUE
close(24)
write(6,*)'Number of points in data file = ',ndata
write(6,*)'Number of points used for calc. = ',mtot
if(mtot7.le.0) then
write(6,*)'******************************'
write(6,*)'**** ERROR IN INPUTFILE ****'
write(6,*)'******************************'
if(mtot7.eq.0) write(6,*) 'No points read'
if(mtot7.eq.-1) write(6,*) 'Non positive frequencies'
if(mtot7.eq.-2) write(6,*) 'Non positive standard dev'
goto 999
endif
c********************************************************************
c End of input of data
c********************************************************************
ALPHA=1.
CAIM=1.00
c MAXIT=1000
c OMEGA=.1
MAXIT=2000
OMEGA=.05
61 CAIMOLD=CAIM
xmin=1.e9
xmax=0
DO 600 I=1,MTOT
SD(I)=SD(I)**2
if(x(i).le.xmin) xmin=x(i)
if(x(i).ge.xmax) xmax=x(i)
600 CONTINUE
560 ALPHASTART=ALPHA
c********** choice of input parameters
dmax=(1/xmin)*10
dmin=(1/xmax)*0.1
c 478 WRITE(6,1113)
c 1113 FORMAT(1X,'tau_min, tau_max, or <enter> => ',$)
c read(55,4)dummy
c write(6,4)dummy
c if(dummy.ne.' ') then
c open(unit=50,file='dummy.d',status='unknown')
c write(50,4)dummy
c close(50)
c open(unit=50,file='dummy.d',status='unknown')
c read(50,*)dmin,dmax
c close(50)
c endif
alphamin=log(1.e-4)
WRITE(6,1114)
1114 FORMAT(1X,'Alpha_min, or <enter> => ',$)
read(55,4)dummy
c write(6,4)dummy
if(dummy.ne.' ') then
open(unit=50,file='dummy.d',status='unknown')
write(50,4)dummy
write(6,4)dummy
close(50)
open(unit=50,file='dummy.d',status='unknown')
read(50,*)alphamin
close(50)
endif
alphamax=log(1.e2)
WRITE(6,1115)
1115 FORMAT(1X,'Alpha_max <enter> => ',$)
read(55,4)dummy
c write(6,4)dummy
if(dummy.ne.' ') then
open(unit=50,file='dummy.d',status='unknown')
write(50,4)dummy
write(6,4)dummy
close(50)
open(unit=50,file='dummy.d',status='unknown')
read(50,*)alphamax
close(50)
endif
alphamin=exp(alphamin)
alphamax=exp(alphamax)
ncalc=30
WRITE(6,1116)
1116 FORMAT(1X,'Number of calculations <enter> => ',$)
read(55,4)dummy
c write(6,4)dummy
if(dummy.ne.' ') then
open(unit=50,file='dummy.d',status='unknown')
write(50,4)dummy
c write(6,4)dummy
close(50)
open(unit=50,file='dummy.d',status='unknown')
read(50,*)ncalc
close(50)
endif
c write(6,4)dummy
alpharel=exp(log(alphamin/alphamax)/ncalc)
ntot0=100
ntot=30
WRITE(6,113)
113 FORMAT(1X,'Minimum number of points in p(r) or <enter> => ',$)
c write(6,4)dummy
read(55,4)dummy
if(dummy.ne.' ') then
open(unit=50,file='dummy.d',status='unknown')
write(50,4)dummy
close(50)
open(unit=50,file='dummy.d',status='unknown')
read(50,*)ntot
close(50)
endif
close(66)
WRITE(6,114)
114 FORMAT(1X,'Free end points enter Yes (default No) => ',$)
c write(6,4)dummy
read(55,4)dummy
nfree=0
if(dummy.ne.' ') then
nfree=1
endif
40 FORMAT(1X,' No ',1X,' N_g ',2X,'Alpha',3X,'Chi-square',
-2X,'Constr.',4X,'Check',5X,'Sum',5x,'-Evidence')
C*****************************************
c Start variation of diameter
c*****************************************
nof=0
555 continue
CALL PRIOR(M,NTOT,X,Y,XF,MTOT,DFX,NMAX,dmin,dmax)
CALL TRANS(A,FT,SMEAR,X,XF,NTOT,MTOT,DFX,NMAX)
DO 48 I=1,NTOT
ysum(i)=0.
DO 47 K=1,MTOT
YSUM(I)=YSUM(I)+Y(K)*A(K,I)/SD(K)
47 CONTINUE
48 CONTINUE
DO 14 I=1,NTOT
DO 13 J=1,NTOT
BIJ=0
DO 12 K=1,MTOT
BIJ=BIJ+A(K,I)*A(K,J)/SD(K)
12 CONTINUE
B(I,J)=BIJ
13 CONTINUE
14 CONTINUE
1399 C1=0
C2=0
SUMM=0
DO 1411 I=1,3
FM(I)=0
DO 1400 J=1,NTOT
FM(I)=FM(I)+A(I,J)*M(J)
1400 CONTINUE
C1=C1+FM(I)/SD(I)
C2=C2+Y(I)/SD(I)
1411 CONTINUE
SUMM=C2/C1
DO 35 j=1,NTOT
c M(j)=SUMM*M(j)
F(j)=M(j)*1.0111
sigma(j)=1
c sigma(j)=dfx**2
35 CONTINUE
evmax=-1.e10
alpha=alphamax
3333 continue
c**************************************************************
c Start variation of alpha
c**************************************************************
nof=nof+1
alpha=alpha*alpharel
ITE=1
if(nof.eq.1) WRITE(6,40)
c goto 110
C*************************************************************************
C Calculation of p(r) for given diameter and alpha
C*************************************************************************
50 ITE=ITE+1
SUMM=0.
SUMF=0.
DO 63 J=1,NTOT
SUMM=SUMM+M(J)
SUMF=SUMF+F(J)
sigma(j)=m(j)
63 CONTINUE
SUMFACT=SUMF/SUMM
m(1)=f(2)/2
m(ntot)=f(ntot-1)/2
c Below: BSW-spectra Above: end points = 0
if(nfree.eq.1) then
m(1)=f(2)*f(3)/f(4)
m(ntot)=f(ntot-1)*f(ntot-2)/f(ntot-3)
endif
DO 64 J=2,NTOT-1
m(j)=(f(j-1)+f(j+1))/2
64 CONTINUE
70 DO 100 I=1,NTOT
FSUMI=0
DO 75 J=1,NTOT
FSUMI=FSUMI+B(I,J)*F(J)
75 CONTINUE
FSUMI=FSUMI-B(I,I)*F(I)
EE=2*(YSUM(I)-FSUMI)/ALPHA
BB=M(I)*2*B(I,I)/ALPHA
FX=ALPHA/(2*B(I,I))
fx=fx*xx(bb,ee)
ce fx=(alpha*m(i)/sigma(i)+ysum(i)-fsumi)/(alpha/sigma(i)+b(i,i))
F(I)=(1.-OMEGA)*F(I)+OMEGA*FX
100 CONTINUE
c**************************************************************************
110 S=0
C=0
GRADSI=0
WGRADS=0
GRADCI=0
WGRADC=0
DOTSP=0
DO 150 I=1,NTOT
ce SADD=-(f(i)-m(i))**2/sigma(i)
SADD=-F(I)*LOG(F(I)/M(I))+F(I)-M(I)
S=S+SADD
GRADSI=-LOG(F(I)/M(I))
ce GRADSI=-2*(f(i)-m(i))/sigma(i)
WGRADS=WGRADS+GRADSI**2
FSUMI=0
DO 130 J=1,NTOT
FSUMI=FSUMI+B(I,J)*F(J)
130 CONTINUE
GRADCI=2*(FSUMI-YSUM(I))
WGRADC=WGRADC+GRADCI**2
DOTSP=DOTSP+GRADSI*GRADCI
150 CONTINUE
DO 141 I=1,MTOT
FM(I)=0
DO 140 J=1,NTOT
FM(I)=FM(I)+A(I,J)*F(J)
140 CONTINUE
CADD=(Y(I)-FM(I))**2/SD(I)
C=C+CADD
141 CONTINUE
C=C/MTOT
call system_clock(clock)
cpu=(clock-clockold)*0.001
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
if((cpu.ge.cpumax).or.(ndata.eq.0)) then
777 open(unit=88,file='plot1.pl',status='unknown')
write(88,*)'set term pdfcairo'
write(88,*)'unset key'
write(88,*)'set output "fig1.pdf"'
if(ndata.eq.0) then
write(88,*)
-'set label "Error in inputfile - no data read. " at -6,0.55'
else
write(88,*)
-'set label "Too many iterations or max cpu time." at -6,0.55'
write(88,*)
-'set label "Try reducing the number of points." at -4.5,0.45'
endif
write(88,*)'set yrange [0:1]'
write(88,*)'plot 0'
write(88,*)'exit gnuplot'
close(88)
open(unit=88,file='plot2.pl',status='unknown')
write(88,*)'unset key'
write(88,*)'set term pdfcairo'
if(ndata.eq.0) then
write(88,*)
-'set label "Error in inputfile - no data read. " at -6,0.55'
else
write(88,*)'set output "fig2.pdf"'
write(88,*)
-'set label "Too many iterations or max cpu time." at -6,0.55'
write(88,*)
-'set label "Try reducing the number of points." at -4.5,0.45'
endif
write(88,*)'set yrange [0:1]'
write(88,*)'plot 0'
write(88,*)'exit gnuplot'
close(88)
goto 9999
endif
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
IF((WGRADS.EQ.0).OR.(WGRADC.EQ.0)) THEN
WRITE(6,*)'ITE = ',ITE
WRITE(6,*)'WGRADS = ',WGRADS
WRITE(6,*)'WGRADC = ',WGRADC
GOTO 50
eNDIF
WGRADS=SQRT(WGRADS)
WGRADC=SQRT(WGRADC)
DOTSP=DOTSP/(WGRADS*WGRADC)
1798 continue
if(ite.ge.20) then
if(mod(ite,100).eq.0) goto 160
goto 162
endif
160 continue
162 continue
c 1621 IF((ITE.EQ.MAXIT).or.(dotsp.ge.0.9999)) GOTO 1799
1621 IF(ITE.EQ.MAXIT) GOTO 1799
goto 50
C************************************************************************
C Estimate of p(r) written to file
C and the probability for this particular solution is calculated
C************************************************************************
1799 continue
dot(nof)=dotsp
alpha=alpha/(2*4)
S=2*S*4
do 1801 i=1,ntot
do 1797 j=1,ntot
u(i,j)=sqrt(f(i)*f(j))*b(i,j)/alpha
if(abs(i-j).eq.0) u(i,j)=u(i,j)+2
if(abs(i-j).eq.1) u(i,j)=u(i,j)-1
1797 continue
1801 continue
call SVDCMP(u,ntot,Ntot,nmax,Nmax,W,smear)
1813 rlogdet=0
det=1.
do 1802 i=1,ntot
w2(i)=w(i)*alpha
det=det*w(i)
rlogdet=rlogdet+log(abs(w(i)))
1802 continue
rnorm=0.5*(log(ntot+1.)+ntot*log(0.5))
evidence=rnorm+(alpha*S-0.5*c*mtot*caimold)-0.5*rlogdet-log(alpha)
if(dotsp.lt.0.9) evidence=-1.e10
if(evidence.gt.evmax) then
nofm=nof
evmax=evidence
chi2=c*caimold
endif
c write(35,995)
c -alpha*s,-c*mtot*caimold/2.,-rlogdet/2.,
c -rnorm,-log(alpha),evidence
c 995 format(7(1x,e10.4))
do 997 j=1,ntot
ftot(j,nof)=f(j)
997 continue
do 9971 j=ntot+1,nmax-4
ftot(j,nof)=0.
9971 continue
prob(nof)=evidence
ftot(nmax-1,nof)=dmax
ftot(nmax-2,nof)=c*caimold
ftot(nmax-3,nof)=alpha*8
do 1777 i=1,ntot
do 1778 j=1,ntot
u(i,j)=sqrt(f(i)*f(j))*b(i,j)
1778 continue
1777 continue
call SVDCMP(u,ntot,Ntot,nmax,Nmax,W,smear)
sum=0
sumx=0
do 850 i=1,ntot
sum=sum+w(i)/(w(i)+alpha)
sumx=sumx+w(i)/w2(i)
850 continue
ftot(nmax-5,nof)=0
ftot(nmax-6,nof)=-2*alpha*S
ftot(nmax-4,nof)=sumx
fmax=0
do 852 i=1,ntot
if(f(i).ge.fmax) fmax=f(i)
852 continue
nstart=ntot/2
do 853 i=nstart,ntot
if(f(i).le.(0.01*fmax)) then
ftot(nmax-7,nof)=xf(i)
df=(f(i-1)-f(i)) / (xf(i)-xf(i-1))
ftot(nmax-8,nof)=xf(i)+f(i)/df
goto 854
endif
853 continue
ftot(nmax-7,nof)=xf(ntot)
ftot(nmax-8,nof)=xf(ntot)
854 continue
changed *8******************************''
alpha=alpha*2.*4
S=S/(2.*4)
161 FORMAT(1X,I4,1x,f6.2,1X,5(1X,E9.4),1x,e10.4)
180 WRITE(6,161)nof,sum,ALPHA,c,-S*alpha*2,DOTSP,
-ftot(nmax-4,nof-1),-evidence
if(alpha.lt.alphamin) goto 998
goto 3333
c************************************
c End of variation of alpha
c************************************
998 continue
300 continue
write(6,*)sum,ftot(nmax-2,nof),ftot(nmax-3,nof)
write(6,*)
evimax=-1.e20
do 9991 k=1,nof
if(prob(k).gt.evimax) evimax=prob(k)
9991 continue
do 9992 k=1,nof
prob(k)=exp(prob(k)-evimax)
9992 continue
ccccccccccccccccccccccc
summodel=0
do 9993 k=1,nof
write(40,*)
-ftot(nmax-3,k),ftot(nmax-2,k),ftot(nmax-4,k),prob(k),dot(k)
summodel=summodel+prob(k)
9993 continue
sand=prob(1)
do 5541 k=1,nof-1
if(ftot(nmax-1,k).eq.ftot(nmax-1,k+1)) sand=sand+prob(k+1)
if(ftot(nmax-1,k).ne.ftot(nmax-1,k+1)) then
sand=prob(k+1)
endif
5541 continue
totprob=0.
do 9118 k=1,nof
totprob=totprob+prob(k)
9118 continue
C*****************************************************************************
C Output estimate of H(tau) - including errors
C*****************************************************************************
write(2,*)'#-----------------------------------------------'
write(2,*)'# Relaxation function'
write(2,*)'# Format: (tau, H(tau), standard deviation)'
write(2,*)'#-----------------------------------------------'
do 9995 j=1,ntot
xmean(j)=0
do 9994 k=1,nof
xmean(j)=xmean(j)+ftot(j,k)*prob(k)
9994 continue
xmean(j)=xmean(j)/totprob
std=0.
do 9321 k=1,nof
std=std+prob(k)*(ftot(j,k)-xmean(j))**2
9321 continue
std=sqrt(std/totprob)
f(j)=xmean(j)
sigf(j)=std
write(2,*) xf(j),f(j),sigf(j)
9995 continue
close(2)
c******************************************************
c Output
c******************************************************
alphamean=0
sumng=0
sumng2=0
sng=0
probtot=0
cav=0
cmax=0
do 1132 k=1,nof
alphamean=alphamean+log(ftot(nmax-3,k))*prob(k)
cav=cav+ftot(nmax-2,k)*prob(k)
if(prob(k).eq.1) cmax=ftot(nmax-2,k)
sumng=sumng+ftot(nmax-4,k)*prob(k)
sumng2=sumng2+ftot(nmax-6,k)*prob(k)
sng=sng+ftot(nmax-5,k)*prob(k)
probtot=probtot+prob(k)
1132 continue
sumng=sumng/probtot
sumng2=sumng2/probtot
cav=cav/probtot
alphamean=exp(alphamean/probtot)
chisd=0
do 1333 k=1,nof
chisd=chisd+prob(k)*(cav-ftot(nmax-2,k))**2
1333 continue
chisd=sqrt(chisd/probtot)
c***********************************************************
c Number of good parameters calculated for optimum alpha
c***********************************************************
do 7775 i=1,ntot
do 7778 j=1,ntot
u(i,j)=sqrt(abs(f(i)*f(j)))*b(i,j)
7778 continue
7775 continue
call SVDCMP(u,ntot,Ntot,nmax,Nmax,W,smear)
do 8777 i=1,ntot
do 8778 j=1,ntot
u(i,j)=b(i,j)
8778 continue
8777 continue
call SVDCMP(u,ntot,Ntot,nmax,Nmax,W2,smear)
write(6,*)'<Ng> , SNg= ', sumng,sumng2
write(6,*)'<Chi> , Chi_max = ', cav,cmax
write(6,*)'Dotsp = ',dot(nofm)
1133 format(a,f6.3,1x,f5.3,x,f5.5,x,f5.2,
-x,f5.2,1x,f6.3,1x,f6.3,x,f6.2,x,f6.2)
write(6,*)
c******************************************************
c Output fit of data
c******************************************************
OPEN(11,FILE=FNAME,STATUS='UNKNOWN')
OPEN(51,FILE=Fit1NAME,STATUS='UNKNOWN')
OPEN(52,FILE=Fit2NAME,STATUS='UNKNOWN')
write(11,*)'#-------------------------------------------------'
write(11,*)'# Fit of data'
write(11,*)'# Format: (frequency, modulus)'
write(11,*)'# First part of file: elastic modulus'
write(11,*)'# Second part of file: loss modulus'
write(11,*)'#-------------------------------------------------'
DO 8141 I=1,MTOT
FM(I)=0
DO 8140 J=1,NTOT
FM(I)=FM(I)+A(I,J)*F(J)
8140 CONTINUE
WRITE(11,*)X(I),FM(I),0.
if(i.le.mtot/2) write(51,*)x(i),fm(i)
if(i.gt.mtot/2) write(52,*)x(i),fm(i)
8141 CONTINUE
close(51)
close(52)
close(11)
251 continue
close(43)
close(14)
C*****************************************************************************
899 WRITE(6,900)BNAME
900 FORMAT(1X,'Estimated function in : ',A)
WRITE(6,901)FNAME
901 FORMAT(1X,'Fit of data in : ',A)
WRITE(6,910)PNAME
910 FORMAT(1X,'Prob.dist. in : ',A)
CLOSE(11)
CLOSE(14)
CLOSE(20)
CLOSE(36)
CLOSE(37)
999 call plot(dmin,dmax,mtot,f,fm,aname,cav,alphamean,x,dot(nofm))
9999 call system_clock(clock)
cpu=(clock-clockold)*0.001
write(6,955)cpu,cpumax
955 format(1x,'Cpu time used: ',f4.1,
-' seconds of maximum ',f4.1,' seconds')
stop
END
C*************************************************************************
C Solution of the equation XX*EXP(XX)=BB*EXP(EE)=AA
C*************************************************************************
FUNCTION XX(BB,EE)
IF(EE.GT.50) GOTO 85
if(ee.lt.-50) then
xx=0
goto 90
endif
AA=BB*EXP(EE)
IF(AA.LE.0.05) XX=-.5+SQRT(.25+AA)
IF(AA.LE.0.05) GOTO 90
XO=LOG(AA+1.)
80 FXO=XO*EXP(XO)
XX=XO*(1-(FXO-AA)/(FXO*XO+1))
IF(XX.LT.0) XX=0
FX=XX*EXP(XX)
DF=ABS(FX-AA)/AA
IF(DF.LT.0.001) GOTO 90
XO=XX
GOTO 80
85 CORR=EE+LOG(BB)
XX=CORR
86 CORX=XX+LOG(XX)
TEST=ABS((CORR-CORX)/CORR)
IF(TEST.LT.0.0005) GOTO 90
XO=XX
XX=XO+(CORR-CORX)*(1+1./XO)
GOTO 86
90 RETURN
END
**************************************************************************
********************************************************************
SUBROUTINE SVDCMP(A,M,N,MP,NP,W,V)
PARAMETER (NMAX=1000)
DIMENSION A(MP,NP),W(NP),V(NP,NP),RV1(NMAX)
G=0.0
SCALE=0.0
ANORM=0.0
DO 25 I=1,N
L=I+1
RV1(I)=SCALE*G
G=0.0
S=0.0
SCALE=0.0
IF (I.LE.M) THEN
DO 11 K=I,M
SCALE=SCALE+ABS(A(K,I))
11 CONTINUE
IF (SCALE.NE.0.0) THEN
DO 12 K=I,M
A(K,I)=A(K,I)/SCALE
S=S+A(K,I)*A(K,I)
12 CONTINUE
F=A(I,I)
G=-SIGN(SQRT(S),F)
H=F*G-S
A(I,I)=F-G
IF (I.NE.N) THEN
DO 15 J=L,N
S=0.0
DO 13 K=I,M
S=S+A(K,I)*A(K,J)
13 CONTINUE
F=S/H
DO 14 K=I,M
A(K,J)=A(K,J)+F*A(K,I)
14 CONTINUE
15 CONTINUE
ENDIF
DO 16 K= I,M
A(K,I)=SCALE*A(K,I)
16 CONTINUE
ENDIF
ENDIF
W(I)=SCALE *G
G=0.0
S=0.0
SCALE=0.0
IF ((I.LE.M).AND.(I.NE.N)) THEN
DO 17 K=L,N
SCALE=SCALE+ABS(A(I,K))
17 CONTINUE
IF (SCALE.NE.0.0) THEN
DO 18 K=L,N
A(I,K)=A(I,K)/SCALE
S=S+A(I,K)*A(I,K)
18 CONTINUE
F=A(I,L)
G=-SIGN(SQRT(S),F)
H=F*G-S
A(I,L)=F-G
DO 19 K=L,N
RV1(K)=A(I,K)/H
19 CONTINUE
IF (I.NE.M) THEN
DO 23 J=L,M
S=0.0
DO 21 K=L,N
S=S+A(J,K)*A(I,K)
21 CONTINUE
DO 22 K=L,N
A(J,K)=A(J,K)+S*RV1(K)
22 CONTINUE
23 CONTINUE
ENDIF
DO 24 K=L,N
A(I,K)=SCALE*A(I,K)
24 CONTINUE
ENDIF
ENDIF
ANORM=MAX(ANORM,(ABS(W(I))+ABS(RV1(I))))
25 CONTINUE
DO 32 I=N,1,-1
IF (I.LT.N) THEN
IF (G.NE.0.0) THEN
DO 26 J=L,N
V(J,I)=(A(I,J)/A(I,L))/G
26 CONTINUE
DO 29 J=L,N
S=0.0
DO 27 K=L,N
S=S+A(I,K)*V(K,J)
27 CONTINUE
DO 28 K=L,N
V(K,J)=V(K,J)+S*V(K,I)
28 CONTINUE
29 CONTINUE
ENDIF
DO 31 J=L,N
V(I,J)=0.0
V(J,I)=0.0
31 CONTINUE
ENDIF
V(I,I)=1.0
G=RV1(I)
L=I
32 CONTINUE
DO 39 I=N,1,-1
L=I+1
G=W(I)
IF (I.LT.N) THEN
DO 33 J=L,N
A(I,J)=0.0
33 CONTINUE
ENDIF
IF (G.NE.0.0) THEN
G=1.0/G
IF (I.NE.N) THEN
DO 36 J=L,N
S=0.0
DO 34 K=L,M
S=S+A(K,I)*A(K,J)
34 CONTINUE
F=(S/A(I,I))*G
DO 35 K=I,M
A(K,J)=A(K,J)+F*A(K,I)
35 CONTINUE
36 CONTINUE
ENDIF
DO 37 J=I,M
A(J,I)=A(J,I)*G
37 CONTINUE
ELSE
DO 38 J= I,M
A(J,I)=0.0
38 CONTINUE
ENDIF
A(I,I)=A(I,I)+1.0
39 CONTINUE
DO 49 K=N,1,-1
DO 48 ITS=1,30
DO 41 L=K,1,-1
NM=L-1
IF ((ABS(RV1(L))+ANORM).EQ.ANORM) GO TO 2
IF ((ABS(W(NM))+ANORM).EQ.ANORM) GO TO 1