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! { dg-options "-O3 -fgraphite-identity -floop-interchange " }

module mqc_m

implicit none

private

public :: mutual_ind_quad_cir_coil

integer, parameter, private :: longreal = selected_real_kind(15,90)

real (kind = longreal), parameter, private :: pi = 3.141592653589793_longreal

real (kind = longreal), parameter, private :: small = 1.0e-10_longreal

contains

      subroutine mutual_ind_quad_cir_coil (r_coil, x_coil, y_coil, z_coil, h_coil, n_coil,  &

                                                      rotate_coil, m, mu, l12)

      real (kind = longreal), intent(in) :: r_coil, x_coil, y_coil, z_coil, h_coil, n_coil, &

                                            mu

      real (kind = longreal), dimension(:,:), intent(in) :: rotate_coil

      integer, intent(in) :: m

      real (kind = longreal), intent(out) :: l12

      real (kind = longreal), dimension(3,3) :: rotate_quad

      real (kind = longreal), dimension(9), save :: x2gauss, y2gauss, w2gauss, z1gauss,     &

                                                    w1gauss

      real (kind = longreal) :: xxvec, xyvec, xzvec, yxvec, yyvec, yzvec, zxvec, zyvec,     &

                                zzvec, magnitude, l12_lower, l12_upper, dx, dy, dz, theta,  &

                                a, b1, b2, numerator, denominator, coefficient, angle

      real (kind = longreal), dimension(3) :: c_vector, q_vector, rot_c_vector,             &

                                              rot_q_vector, current_vector,                 &

                                              coil_current_vec, coil_tmp_vector

      integer :: i, j, k

      logical, save :: first = .true.

      do i = 1, 2*m

          theta = pi*real(i,longreal)/real(m,longreal)

          c_vector(1) = r_coil * cos(theta)

          c_vector(2) = r_coil * sin(theta)

          coil_tmp_vector(1) = -sin(theta)

          coil_tmp_vector(2) = cos(theta)

          coil_tmp_vector(3) = 0.0_longreal

          coil_current_vec(1) = dot_product(rotate_coil(1,:),coil_tmp_vector(:))

          coil_current_vec(2) = dot_product(rotate_coil(2,:),coil_tmp_vector(:))

          coil_current_vec(3) = dot_product(rotate_coil(3,:),coil_tmp_vector(:))

          do j = 1, 9

              c_vector(3) = 0.5 * h_coil * z1gauss(j)

              rot_c_vector(1) = dot_product(rotate_coil(1,:),c_vector(:)) + dx

              rot_c_vector(2) = dot_product(rotate_coil(2,:),c_vector(:)) + dy

              rot_c_vector(3) = dot_product(rotate_coil(3,:),c_vector(:)) + dz

              do k = 1, 9

                  q_vector(1) = 0.5_longreal * a * (x2gauss(k) + 1.0_longreal)

                  q_vector(2) = 0.5_longreal * b1 * (y2gauss(k) - 1.0_longreal)

                  q_vector(3) = 0.0_longreal

                  rot_q_vector(1) = dot_product(rotate_quad(1,:),q_vector(:))

                  rot_q_vector(2) = dot_product(rotate_quad(2,:),q_vector(:))

                  rot_q_vector(3) = dot_product(rotate_quad(3,:),q_vector(:))

                  numerator = w1gauss(j) * w2gauss(k) *                                     &

                                                 dot_product(coil_current_vec,current_vector)

                  denominator = sqrt(dot_product(rot_c_vector-rot_q_vector,                 &

                                                                  rot_c_vector-rot_q_vector))

                  l12_lower = l12_lower + numerator/denominator

              end do

          end do

      end do

      l12 = coefficient * (b1 * l12_lower + b2 * l12_upper)

      end subroutine mutual_ind_quad_cir_coil

end module mqc_m

! { dg-final { cleanup-modules "mqc_m" } }