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570 lines
17 KiB
Fortran
570 lines
17 KiB
Fortran
PROGRAM sp2thpdf
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!***********************************************************************
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! This program computes: *
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! *
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! density of S_i,Hi,T_i in a gaussian process i.e. *
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! *
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! quart wavelength (up-crossing to crest) and crest amplitude *
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!
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! def = 1, gives half wave period, Tc (default).
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! -1, gives half wave period, Tt.
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! 2, gives half wave period and wave crest amplitude (Tc,Ac).
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! -2, gives half wave period and wave trough amplitude (Tt,At).
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! 3, gives crest front period and wave crest amplitude (Tcf,Ac).
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! -3, gives trough back period and wave trough amplitude (Ttb,At).
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! 4, gives minimum of crest front/back period and wave crest
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! amplitude (max(Tcf,Tcb),Ac).
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! -4, gives minimum of trough front/back period and wave trough
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! amplitude (max(Ttf,Ttb),At).
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!***********************************************************************
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use GLOBALDATA, only : Nt,Nj,Nd,Nc,Ntd,Ntdc,NI,Mb,
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& NIT,Nx,TWOPI,XSPLT,SCIS,NSIMmax,COV
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use rind
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IMPLICIT NONE
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double precision, dimension(:,:),allocatable :: BIG
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double precision, dimension(:,:),allocatable :: ansr
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double precision, dimension(: ),allocatable :: ex
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double precision, dimension(:,:),allocatable :: xc
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double precision, dimension(: ),allocatable :: fxind,h
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double precision, dimension(: ),allocatable :: R0,R1,R2,R3,R4
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double precision ::CC,U,XddInf,XdInf,XtInf
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double precision, dimension(2,6) :: a_up=0.d0,a_lo=0.d0
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integer , dimension(: ),allocatable :: seed
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integer ,dimension(7) :: indI
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integer :: Nstart,Ntime,tn,ts,speed,ph,def,seed1,seed_size
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double precision :: ds,dT ! lag spacing for covariances
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! DIGITAL:
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! f90 -g2 -C -automatic -o ../wave/alpha/sp2thpdf.exe rind44.f sp2thpdf.f
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! SOLARIS:
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!f90 -g -O -w3 -Bdynamic -fixed -o ../wave/sol2/sp2thpdf.exe rind44.f sp2thpdf.f
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! linux:
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! f90 -gline -Nl126 -C -o sp2thpdf.exe rind45.f sp2thpdf.f
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! HP700
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!f90 -g -C -o ../exec/hp700/sp2thpdf.exe rind45.f sp2thpdf.f
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!f90 -g -C +check=all +FPVZID -o ../exec/hp700/sp2thpdf2.exe rind45.f sp2thpdf.f
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!print *,'enter sp2thpdf'
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CALL INIT_LEVELS(U,def,Ntime,Nstart,NIT,speed,SCIS,seed1,Nx,dT)
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!print *,'U,def,Ntime,Nstart,NIT,speed,SCIS,seed1,Nx,dT'
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!print *,U,def,Ntime,Nstart,NIT,speed,SCIS,seed1,Nx,dT
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!XSPLT=1.5d0
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if (SCIS.GT.0) then
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allocate(COV(1:Nx))
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call random_seed(SIZE=seed_size)
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allocate(seed(seed_size))
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call random_seed(GET=seed(1:seed_size)) ! get current seed
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seed(1)=seed1 ! change seed
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call random_seed(PUT=seed(1:seed_size))
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deallocate(seed)
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endif
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CALL INITDATA(speed)
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!print *,ntime,speed,u,NIT
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allocate(R0(1:Ntime+1))
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allocate(R1(1:Ntime+1))
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allocate(R2(1:Ntime+1))
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if (abs(def).GT.1) THEN
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allocate(h(1:Nx))
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allocate(R3(1:Ntime+1))
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allocate(R4(1:Ntime+1))
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CALL INIT_AMPLITUDES(h,def,Nx)
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endif
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CALL INIT_COVARIANCES(Ntime,def,R0,R1,R2,R3,R4)
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!print *,'Nx',Nx
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Nj=0
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indI(1)=0
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C ***** The bound 'infinity' is set to 10*sigma *****
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XdInf=10.d0*SQRT(-R2(1))
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XtInf=10.d0*SQRT(R0(1))
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!print *,'XdInf,XtInf'
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!print *,XdInf,XtInf
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! normalizing constant
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CC=TWOPI*SQRT(-R0(1)/R2(1))*exp(u*u/(2.d0*R0(1)) )
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if (abs(def).EQ.4) CC=2.d0*CC
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allocate(ansr(1:Ntime,1:Nx))
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ansr=0.d0
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allocate(fxind(1:Nx))
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!fxind=0.d0 this is not needed
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if (abs(def).GT.1) then
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GOTO 200
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endif
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NI=4; Nd=2
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Nc=2; Mb=1
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Nx=1
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allocate(BIG(1:Ntime+Nc,1:Ntime+Nc))
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allocate(xc(1:Nc,1:Nx))
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allocate(ex(1:Ntime+Nc))
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ex=0.d0
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xc(1,1)=u
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xc(2,1)=u
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if (def.GT.0) then
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a_up(1,1)=u+XtInf
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a_lo(1,1)=u
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a_up(1,2)=XdInf
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a_lo(1,3)=-XdInf
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else
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a_up(1,1)=u
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a_lo(1,1)=u-XtInf
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a_lo(1,2)=-XdInf
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a_up(1,3)= XdInf
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endif
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!print *,'Nstart',Nstart
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Nstart=MAX(2,Nstart)
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!print *,'Nstart',Nstart
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if (SCIS.GT.0) then
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open (unit=11, file='COV.out', STATUS='unknown')
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write(11,*) 0.d0
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endif
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do Ntd=Nstart,Ntime
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!CALL COV_INPUT2(BIG,Ntd, R0,R1,R2)
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CALL COV_INPUT(BIG,Ntd,-1,R0,R1,R2,R3,R4) ! positive wave period
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Nt=Ntd-Nd;
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indI(2)=Nt;
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indI(3)=Nt+1;
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indI(4)=Ntd;
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Ntdc=Ntd+Nc;
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!if (SCIS.gt.0) then
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! if (SCIS.EQ.2) then
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! Nj=max(Nt,0)
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! else
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! Nj=min(max(Nt-5, 0),0)
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! endif
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!endif
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!Ex=0.d0
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!CALL echo(BIG(1:Ntdc,1:min(7,Ntdc)),Ntdc)
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CALL RINDD(fxind,Big(1:Ntdc,1:Ntdc),ex(1:Ntdc),
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& xc,indI,a_lo,a_up)
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ansr(Ntd,1)=fxind(1)*CC
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if (SCIS.GT.0) then
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write(11,*) COV(1) ! save coefficient of variation
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endif
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print *,'Ready: ',Ntd,' of ',Ntime
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enddo
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if (SCIS.GT.0) then
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close(11)
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endif
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goto 300
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200 continue
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XddInf=10.d0*SQRT(R4(1))
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NI=7; Nd=3
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Nc=4; Mb=2
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allocate(BIG(1:Ntime+Nc+1,1:Ntime+Nc+1))
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ALLOCATE(xc(1:Nc,1:Nx))
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allocate(ex(1:Ntime+Nc+1))
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ex=0.d0
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xc(1,1:Nx)=h
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xc(2,1:Nx)=u
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xc(3,1:Nx)=u
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xc(4,1:Nx)=0.d0
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if (def.GT.0) then
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a_up(2,1)=1.d0 !*h
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a_lo(1,1)=u
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a_up(1,2)=XtInf ! X(ts) is redundant
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a_lo(1,2)=-Xtinf
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a_up(2,2)=1.d0 ! *h
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a_lo(2,2)=1.d0 ! *h
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a_up(2,3)=1.d0 !*h
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a_lo(1,3)=u
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a_lo(1,4)=-XddInf
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a_up(1,5)= XdInf
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a_lo(1,6)=-XdInf
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else !def<0
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a_up(1,1)=u
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a_lo(2,1)=1.d0 !*h
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a_up(1,2)=XtInf ! X(ts) is redundant
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a_lo(1,2)=-Xtinf
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a_up(2,2)=1.d0 ! *h
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a_lo(2,2)=1.d0 ! *h
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a_up(1,3)=u
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a_lo(2,3)=1.d0 !*h
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a_up(1,4)=XddInf
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a_lo(1,5)=-XdInf
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a_up(1,6)=XdInf
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endif
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Nstart=MAX(Nstart,3)
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do tn=Nstart,Ntime,1
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Ntd=tn+1
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Nt=Ntd-Nd
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Ntdc=Ntd+Nc
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indI(4)=Nt
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indI(5)=Nt+1
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indI(6)=Nt+2
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indI(7)=Ntd
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if (SCIS.gt.0) then
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if (SCIS.EQ.2) then
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Nj=max(Nt,0)
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else
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Nj=min(max(Nt-5, 0),0)
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endif
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endif
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do ts=2,FLOOR(DBLE(tn+1)/2.d0)
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!print *,'ts,tn' ,ts,tn
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CALL COV_INPUT(Big(1:Ntdc,1:Ntdc),tn,ts,R0,R1,R2,R3,R4) ! positive wave period
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indI(2)=ts-2
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indI(3)=ts-1
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!CALL echo(BIG(1:Ntdc,1:min(7,Ntdc)),Ntdc)
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!print *,'sp call rind'
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CALL RINDD(fxind,Big(1:Ntdc,1:Ntdc),ex(1:Ntdc),
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& xc,indI,a_lo,a_up)
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!CALL echo(BIG(1:Ntdc,1:min(7,Ntdc)),Ntdc)
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!print *,'sp rind finished',fxind
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!goto 900
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if (abs(def).LT.3) THEN
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if (ts .EQ.tn-ts+1) then
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ds=dt
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else
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ds=2.d0*dt
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endif
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ansr(tn,1:Nx)=ansr(tn,1:Nx)+fxind*CC*ds
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else
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ansr(ts,1:Nx)=ansr(ts,1:Nx)+fxind*CC*dT
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if ((ts.LT.tn-ts+1).and. (abs(def).lt.4)) THEN
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ansr(tn-ts+1,1:Nx)=ansr(tn-ts+1,1:Nx)+fxind*CC*dT ! exploiting the symmetry
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endif
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endif
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enddo ! ts
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print *,'Ready: ',tn,' of ',Ntime
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enddo !tn
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!print *,'ansr',ansr
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300 open (unit=11, file='dens.out', STATUS='unknown')
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!print *, ansr
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do ts=1,Ntime
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do ph=1,Nx
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write(11,*) ansr(ts,ph)
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! write(11,111) ansr(ts,ph)
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enddo
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enddo
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!111 FORMAT(2x,F12.8)
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close(11)
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900 deallocate(big)
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deallocate(fxind)
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deallocate(ansr)
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deallocate(xc)
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deallocate(ex)
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deallocate(R0)
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deallocate(R1)
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deallocate(R2)
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if (allocated(COV) ) then
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deallocate(COV)
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endif
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if (allocated(R3)) then
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deallocate(R3)
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deallocate(R4)
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deallocate(h)
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ENDIF
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stop
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!return
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CONTAINS
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SUBROUTINE INIT_LEVELS
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& (U,def,Ntime,Nstart,NIT,speed,SCIS,seed1,Nx,dT)
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IMPLICIT NONE
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integer, intent(out):: def,Ntime,Nstart,NIT,speed,Nx,SCIS,seed1
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double precision ,intent(out) :: U,dT
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OPEN(UNIT=14,FILE='reflev.in',STATUS= 'UNKNOWN')
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READ (14,*) U
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READ (14,*) def
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READ (14,*) Ntime
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READ (14,*) Nstart
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READ (14,*) NIT
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READ (14,*) speed
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READ (14,*) SCIS
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READ (14,*) seed1
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if (abs(def).GT.1) then
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READ (14,*) Nx
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READ (14,*) dT
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if (Ntime.lt.3) then
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print *,'The number of wavelength points is too small, stop'
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stop
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end if
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else
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Nx=1
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if (Ntime.lt.2) then
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print *,'The number of wavelength points is too small, stop'
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stop
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end if
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endif
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CLOSE(UNIT=14)
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RETURN
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END SUBROUTINE INIT_LEVELS
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C******************************************************
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SUBROUTINE INIT_AMPLITUDES(h,def,Nx)
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IMPLICIT NONE
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double precision, dimension(:), intent(out) :: h
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integer, intent(in) :: def
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integer, intent(in) :: Nx
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integer :: ix
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OPEN(UNIT=4,FILE='h.in',STATUS= 'UNKNOWN')
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C
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C Reading in amplitudes
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C
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do ix=1,Nx
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READ (4,*) H(ix)
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enddo
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CLOSE(UNIT=4)
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!if (def.LT.0) THEN
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! H=-H
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!endif
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RETURN
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END SUBROUTINE INIT_AMPLITUDES
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C**************************************************
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C***********************************************************************
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C***********************************************************************
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SUBROUTINE INIT_COVARIANCES(Ntime,def,R0,R1,R2,R3,R4)
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IMPLICIT NONE
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double precision, dimension(:),intent(out) :: R0,R1,R2
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double precision, dimension(:),intent(out) :: R3,R4
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integer,intent(in) :: Ntime,def
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integer :: i
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open (unit=1, file='Cd0.in',STATUS='unknown')
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open (unit=2, file='Cd1.in',STATUS='unknown')
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open (unit=3, file='Cd2.in',STATUS='unknown')
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do i=1,Ntime
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read(1,*) R0(i)
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read(2,*) R1(i)
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read(3,*) R2(i)
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enddo
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close(1)
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close(2)
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close(3)
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if (abs(def).GT.1) then
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open (unit=4, file='Cd3.in',STATUS='unknown')
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open (unit=5, file='Cd4.in',STATUS='unknown')
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do i=1,Ntime
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read(4,*) R3(i)
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read(5,*) R4(i)
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enddo
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close(4)
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close(5)
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endif
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return
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END SUBROUTINE INIT_COVARIANCES
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C***********************************************************************
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C***********************************************************************
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C**********************************************************************
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SUBROUTINE COV_INPUT(BIG,tn,ts, R0,R1,R2,R3,R4)
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IMPLICIT NONE
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double precision, dimension(:,:),intent(inout) :: BIG
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double precision, dimension(:),intent(in) :: R0,R1,R2
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double precision, dimension(:),intent(in) :: R3,R4
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integer ,intent(in) :: tn,ts
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integer :: i,j,shft,Ntd1,N !=Ntdc
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double precision :: tmp
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! the order of the variables in the covariance matrix
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! are organized as follows:
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! For ts>1:
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! ||X(t2)..X(ts),..X(tn-1)||X''(ts) X'(t1) X'(tn)||X(ts) X(t1) X(tn) X'(ts)||
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! = [Xt Xd Xc]
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!
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! For ts<=1:
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! ||X(t2)..,..X(tn-1)||X'(t1) X'(tn)||X(t1) X(tn)||
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! = [Xt Xd Xc]
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! where
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!
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! Xt= time points in the indicator function
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! Xd= derivatives
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! Xc=variables to condition on
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if (ts.LE.1) THEN
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Ntd1=tn
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N=Ntd1+2;
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shft=0 ! def=1 want only crest period Tc
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else
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Ntd1=tn+1
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N=Ntd1+4
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shft=1 ! def=2 or 3 want Tc Ac or Tcf, Ac
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endif
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do i=1,tn-2
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!cov(Xt)
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do j=i,tn-2
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BIG(i,j) = R0(j-i+1) ! cov(X(ti+1),X(tj+1))
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enddo
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!cov(Xt,Xc)
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BIG(i ,Ntd1+1+shft) = R0(i+1) !cov(X(ti+1),X(t1))
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BIG(tn-1-i ,Ntd1+2+shft) = R0(i+1) !cov(X(t.. ),X(tn))
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!Cov(Xt,Xd)=cov(X(ti+1),x(tj)
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BIG(i,Ntd1-1) =-R1(i+1) !cov(X(ti+1),X' (t1))
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BIG(tn-1-i,Ntd1)= R1(i+1) !cov(X(ti+1),X' (tn))
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enddo
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!call echo(big(1:tn,1:tn),tn)
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!cov(Xd)
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BIG(Ntd1 ,Ntd1 ) = -R2(1)
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BIG(Ntd1-1,Ntd1 ) = -R2(tn) !cov(X'(t1),X'(tn))
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BIG(Ntd1-1,Ntd1-1) = -R2(1)
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!cov(Xc)
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BIG(Ntd1+1+shft,Ntd1+1+shft) = R0(1) ! cov(X(t1),X (t1))
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BIG(Ntd1+1+shft,Ntd1+2+shft) = R0(tn) ! cov(X(t1),X (tn))
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BIG(Ntd1+2+shft,Ntd1+2+shft) = R0(1) ! cov(X(tn),X (tn))
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!cov(Xd,Xc)
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BIG(Ntd1 ,Ntd1+1+shft) = R1(tn) !cov(X'(tn),X(t1))
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BIG(Ntd1 ,Ntd1+2+shft) = 0.d0 !cov(X'(tn),X(tn))
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BIG(Ntd1-1,Ntd1+1+shft) = 0.d0 !cov(X'(t1),X(t1))
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BIG(Ntd1-1,Ntd1+2+shft) =-R1(tn) !cov(X'(t1),X(tn))
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if (ts.GT.1) then
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!
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!cov(Xc)
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BIG(Ntd1+1,Ntd1+1) = R0(1) ! cov(X(ts),X (ts)
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BIG(Ntd1+1,Ntd1+2) = R0(ts) ! cov(X(ts),X (t1))
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BIG(Ntd1+1,Ntd1+3) = R0(tn+1-ts) ! cov(X(ts),X (tn))
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BIG(Ntd1+1,Ntd1+4) = 0.d0 ! cov(X(ts),X'(ts))
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BIG(Ntd1+2,Ntd1+4) = R1(ts) ! cov(X(t1),X'(ts))
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BIG(Ntd1+3,Ntd1+4) = -R1(tn+1-ts) !cov(X(tn),X'(ts))
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BIG(Ntd1+4,Ntd1+4) = -R2(1) ! cov(X'(ts),X'(ts))
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!cov(Xd)
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BIG(Ntd1-2,Ntd1-1) = -R3(ts) !cov(X''(ts),X'(t1))
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BIG(Ntd1-2,Ntd1-2) = R4(1)
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BIG(Ntd1-2,Ntd1 ) = R3(tn+1-ts) !cov(X''(ts),X'(tn))
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!cov(Xd,Xc)
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BIG(Ntd1 ,Ntd1+4) =-R2(tn+1-ts) !cov(X'(tn),X'(ts))
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BIG(Ntd1 ,Ntd1+1) = R1(tn+1-ts) !cov(X'(tn),X (ts))
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BIG(Ntd1-1,Ntd1+4) =-R2(ts) !cov(X'(t1),X'(ts))
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BIG(Ntd1-1,Ntd1+1) =-R1(ts) !cov(X'(t1),X (ts))
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BIG(Ntd1-2,Ntd1+1) = R2(1) !cov(X''(ts),X (ts)
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BIG(Ntd1-2,Ntd1+2) = R2(ts) !cov(X''(ts),X (t1))
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BIG(Ntd1-2,Ntd1+3) = R2(tn+1-ts) !cov(X''(ts),X (tn))
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BIG(Ntd1-2,Ntd1+4) = 0.d0 !cov(X''(ts),X'(ts))
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!cov(Xt,Xc)
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do i=1,tn-2
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j=abs(i+1-ts)
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BIG(i,Ntd1+1) = R0(j+1) !cov(X(ti+1),X(ts))
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BIG(i,Ntd1+4) = sign(R1(j+1),R1(j+1)*dble(ts-i-1)) !cov(X(ti+1),X'(ts)) ! check this
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!Cov(Xt,Xd)=cov(X(ti+1),X(ts))
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BIG(i,Ntd1-2) = R2(j+1) !cov(X(ti+1),X''(ts))
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enddo
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endif ! ts>1
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!call echo(big(1:N,1:N),N)
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! make lower triangular part equal to upper
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do j=1,N-1
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do i=j+1,N
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tmp =BIG(j,i)
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BIG(i,j)=tmp
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enddo
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!call echo(big(1:N,1:N),N)
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enddo
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!call echo(big(1:N,1:N),N)
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C write (*,10) ((BIG(j,i),i=N+1,N+6),j=N+1,N+6)
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C 10 format(6F8.4)
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RETURN
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END SUBROUTINE COV_INPUT
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SUBROUTINE COV_INPUT2(BIG,pt, R0,R1,R2)
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IMPLICIT NONE
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double precision, dimension(:,:), intent(out) :: BIG
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double precision, dimension(:), intent(in) :: R0,R1,R2
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integer :: pt,i,j
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! the order of the variables in the covariance matrix
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! are organized as follows;
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! X(t2)...X(tn-1) X'(t1) X'(tn) X(t1) X(tn) = [Xt Xd Xc]
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!
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! where Xd is the derivatives
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!
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! Xt= time points in the indicator function
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! Xd= derivatives
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! Xc=variables to condition on
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!cov(Xc)
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BIG(pt+2,pt+2) = R0(1)
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BIG(pt+1,pt+1) = R0(1)
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BIG(pt+1,pt+2) = R0(pt)
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!cov(Xd)
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BIG(pt,pt) = -R2(1)
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BIG(pt-1,pt-1) = -R2(1)
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BIG(pt-1,pt) = -R2(pt)
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!cov(Xd,Xc)
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BIG(pt,pt+2) = 0.d0
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BIG(pt,pt+1) = R1(pt)
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BIG(pt-1,pt+2) = -R1(pt)
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BIG(pt-1,pt+1) = 0.d0
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if (pt.GT.2) then
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!cov(Xt)
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do i=1,pt-2
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do j=i,pt-2
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BIG(i,j) = R0(j-i+1)
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enddo
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enddo
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!cov(Xt,Xc)
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do i=1,pt-2
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BIG(i,pt+1) = R0(i+1)
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BIG(pt-1-i,pt+2) = R0(i+1)
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enddo
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!Cov(Xt,Xd)=cov(X(ti+1),x(tj))
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do i=1,pt-2
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BIG(i,pt-1) = -R1(i+1)
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BIG(pt-1-i,pt)= R1(i+1)
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enddo
|
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endif
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! make lower triangular part equal to upper
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do j=1,pt+1
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do i=j+1,pt+2
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BIG(i,j)=BIG(j,i)
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enddo
|
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enddo
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C write (*,10) ((BIG(j,i),i=N+1,N+6),j=N+1,N+6)
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C 10 format(6F8.4)
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RETURN
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END SUBROUTINE COV_INPUT2
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END PROGRAM sp2thpdf
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