File: lsdisc.f

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      subroutine lsdisc (f, neq, y, t, tout, rwork,lrw,istate )
      external f
      integer neq,  lrw
      double precision y(neq), t, tout,  rwork(lrw)
c!purpose
c
c  Simulation of non linear recurrence equations of type 
c  x[k+1]=f(k,xk)
c
c!summary of usage.
c a. first provide a subroutine of the form..
c               subroutine f (neq, t, y, ydot)
c               dimension y(neq), ydot(neq)
c which supplies the vector function f by loading ydot(i) with f(i).
c
c f      = name of subroutine for right-hand side vector f.
c          this name must be declared external in calling program.
c neq    = number of first order ode-s.
c y      = array of initial values, of length neq.
c t      = the initial value of the independent variable.
c tout   = first point where output is desired 
c istate = 2  if lsdisc was successful, negative otherwise.
C
C # cases according to the difference between t and tout 
C 
c!
c-----------------------------------------------------------------------
      integer  it,itout
      double precision tt
      integer         iero
      common /ierode/ iero
      include '../stack.h'
c
      it=int(t)
      itout=int(tout)
      iero=0	
      if ( itout.lt.it) then 
         buf ='ode discrete : a requested k is smaller '
     $   // ' than initial one'
         call error(999)
         return
      else if ( itout.eq.it) then 
         istate=2
         return
      else 
         do 10 j=it,itout-1
            tt=dble(j)
            call f (neq,tt, y, rwork)
            if(iero.gt.0) return
            call dcopy(neq,rwork,1,y,1)
 10      continue
         t=tout
         istate=2
         return
      endif
      end