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fvn_fnlib/dbesyn.f90 890 Bytes
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  function dbesyn(n,x)
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      use fvn_common
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      implicit none
      ! This function compute the rank n Bessel Y function
      ! using recurrence relation :
      ! Yn+1(x)=2n/x * Yn(x) - Yn-1(x)
      !
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      real(dp_kind) :: dbesyn
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      integer :: n
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      real(dp_kind) :: x
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      real(dp_kind),external :: dbesy0,dbesy1
      real(dp_kind) :: two_on_x,bynm1,byn,bytmp
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      integer :: i
  
      if (n==0) then
          dbesyn=dbesy0(x)
          return
      end if
      if (n==1) then
          dbesyn=dbesy1(x)
          return
      end if
      if (n < 0) then
          write(*,*) "Error in dbesyn, n must be >= 0"
          stop
      end if
      if (x <= 0.) then
          write(*,*) "Error in dbesyn, x must be strictly positive"
      end if
  
      two_on_x=2./x
      bynm1=dbesy0(x)
      byn=dbesy1(x)
  
      do i=1,n-1
          bytmp=two_on_x*byn*i-bynm1
          bynm1=byn
          byn=bytmp
      end do
      dbesyn=bytmp
  end function