passf4 Subroutine

      subroutine passf4(ido, l1, cc, ch, wa1, wa2, wa3)
         use fftpack_kind, only: dp => rk
         implicit none
         integer, intent(in) :: ido, l1
         real(dp), intent(in) :: cc(ido, 4, l1), wa1(*), wa2(*), wa3(*)
         real(dp), intent(out) :: ch(ido, l1, 4)
         real(dp) :: ci2, ci3, ci4, cr2, cr3, cr4, &
                        & ti1, ti2, ti3, ti4, tr1, tr2, tr3, tr4
         integer :: i, k
         if (ido /= 2) then
            do k = 1, l1
               do i = 2, ido, 2
                  ti1 = cc(i, 1, k) - cc(i, 3, k)
                  ti2 = cc(i, 1, k) + cc(i, 3, k)
                  ti3 = cc(i, 2, k) + cc(i, 4, k)
                  tr4 = cc(i, 2, k) - cc(i, 4, k)
                  tr1 = cc(i - 1, 1, k) - cc(i - 1, 3, k)
                  tr2 = cc(i - 1, 1, k) + cc(i - 1, 3, k)
                  ti4 = cc(i - 1, 4, k) - cc(i - 1, 2, k)
                  tr3 = cc(i - 1, 2, k) + cc(i - 1, 4, k)
                  ch(i - 1, k, 1) = tr2 + tr3
                  cr3 = tr2 - tr3
                  ch(i, k, 1) = ti2 + ti3
                  ci3 = ti2 - ti3
                  cr2 = tr1 + tr4
                  cr4 = tr1 - tr4
                  ci2 = ti1 + ti4
                  ci4 = ti1 - ti4
                  ch(i - 1, k, 2) = wa1(i - 1)*cr2 + wa1(i)*ci2
                  ch(i, k, 2) = wa1(i - 1)*ci2 - wa1(i)*cr2
                  ch(i - 1, k, 3) = wa2(i - 1)*cr3 + wa2(i)*ci3
                  ch(i, k, 3) = wa2(i - 1)*ci3 - wa2(i)*cr3
                  ch(i - 1, k, 4) = wa3(i - 1)*cr4 + wa3(i)*ci4
                  ch(i, k, 4) = wa3(i - 1)*ci4 - wa3(i)*cr4
               end do
            end do
         else
            do k = 1, l1
               ti1 = cc(2, 1, k) - cc(2, 3, k)
               ti2 = cc(2, 1, k) + cc(2, 3, k)
               tr4 = cc(2, 2, k) - cc(2, 4, k)
               ti3 = cc(2, 2, k) + cc(2, 4, k)
               tr1 = cc(1, 1, k) - cc(1, 3, k)
               tr2 = cc(1, 1, k) + cc(1, 3, k)
               ti4 = cc(1, 4, k) - cc(1, 2, k)
               tr3 = cc(1, 2, k) + cc(1, 4, k)
               ch(1, k, 1) = tr2 + tr3
               ch(1, k, 3) = tr2 - tr3
               ch(2, k, 1) = ti2 + ti3
               ch(2, k, 3) = ti2 - ti3
               ch(1, k, 2) = tr1 + tr4
               ch(1, k, 4) = tr1 - tr4
               ch(2, k, 2) = ti1 + ti4
               ch(2, k, 4) = ti1 - ti4
            end do
         end if
      end subroutine passf4