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renaming to ensure capitals
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c File TriSolve.f
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subroutine forward(al, ial, jal, b, nv, n, nRHS, x)
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double precision al(nv)
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integer ial(n+1)
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integer jal(nv)
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double precision b(n,nRHS)
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double precision x(n,nRHS)
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integer nv
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integer n
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integer nRHS
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integer rhs
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cf2py intent(in) :: al
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cf2py intent(in) :: ial
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cf2py intent(in) :: jal
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cf2py intent(in) :: b
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cf2py intent(in) :: nv
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cf2py intent(in) :: n
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cf2py intent(in) :: nRHS
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cf2py intent(out) :: x
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real ( kind = 8 ) t
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do rhs = 1, nRHS
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do k = 1, n
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t = b(k,rhs)
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do j = ial(k)+1, ial(k+1)
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t = t - al(j) * x(jal(j)+1,rhs)
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end do
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x(k,rhs) = t/al(ial(k+1))
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end do
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end do
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end subroutine forward
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subroutine backward(au,iau, jau, b, nv, n, nRHS, x)
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double precision au(nv)
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integer iau(n+1)
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integer jau(nv)
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double precision b(n,nRHS)
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double precision x(n,nRHS)
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integer nv
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integer n
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integer nRHS
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integer rhs
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cf2py intent(in) :: au
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cf2py intent(in) :: iau
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cf2py intent(in) :: jau
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cf2py intent(in) :: b
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cf2py intent(in) :: nv
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cf2py intent(in) :: n
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cf2py intent(in) :: nRHS
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cf2py intent(out) :: x
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real ( kind = 8 ) t
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do rhs = 1, nRHS
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do k = n, 1, -1
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t = b(k,rhs)
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do j = iau(k)+1, iau(k+1)
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t = t - au(j) * x(jau(j)+1,rhs)
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end do
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x(k,rhs) = t/au(iau(k)+1)
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end do
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end do
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end subroutine backward
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