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! flag
subroutine arc_length_new(x,y,len,n1,n2)
  integer :: i,n1,n2,i0,i1,i2
  real*8, dimension(n1:n2) :: x,y,len
  real*8 :: xt1,yt1,st1,xt2,yt2,st2,xtt,ytt,stt1,stt2,k1,k2,dt1,dt2 &
       ,cc1,cc2


  len(n1)=0
  do i=n1+2,n2,2
     i0=i-2
     i1=i-1
     i2=i

     xt1=x(i1)-x(i0)
     yt1=y(i1)-y(i0)
     st1=sqrt(xt1*xt1+yt1*yt1)
     xt2=x(i2)-x(i1)
     yt2=y(i2)-y(i1)
     st2=sqrt(xt2*xt2+yt2*yt2)
     xtt=x(i2)-2*x(i1)+x(i0)
     ytt=y(i2)-2*y(i1)+y(i0)
     stt1=(xt1*xtt+yt1*ytt)/st1
     stt2=(xt2*xtt+yt2*ytt)/st2

     k1=(xtt*xtt+ytt*ytt)*st1*st1-(xt1*xtt+yt1*ytt)**2
     if(abs(k1) < 1.d-14*st1**4) k1=0
     if(k1 < 0.d0) then
        print*,' i=',i,' k1=',k1
        stop
     else
        k1=sqrt(k1)/st1**3
     end if
     k2=(xtt*xtt+ytt*ytt)*st2*st2-(xt2*xtt+yt2*ytt)**2
     if(abs(k2) < 1.d-14*st2**4) k2=0
     if(k2 < 0.d0) then
        print*,' i=',i,' k2=',k2
        stop
     else
        k2=sqrt(k2)/st2**3
     end if

     !     k1=sqrt((xtt*xtt+ytt*ytt)*st1*st1-(xt1*xtt+yt1*ytt)**2)/st1**3
     !     k2=sqrt((xtt*xtt+ytt*ytt)*st2*st2-(xt2*xtt+yt2*ytt)**2)/st2**3
     dt1=st1*k1/2
     if(dt1==0.d0) then
        cc1=1.d0
     else
        cc1=dt1/sin(dt1)
     end if

     dt2=st2*k2/2
     if(dt2==0.d0) then
        cc2=1.d0
     else
        cc2=dt2/sin(dt2)
     end if

     len(i1)=len(i0)+st1*cc1
     len(i2)=len(i1)+st2*cc2
     !     len(i1)=len(i0)+st1+stt1/2
     !     len(i2)=len(i1)+st2+stt2/2
     !     len(i1)=len(i0)+st1
     !     len(i2)=len(i1)+st2
  end do

end subroutine arc_length_new
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