module gms_math_power use datatype use mem_manager implicit none integer :: ix, iy, iz interface operator(**) module procedure power_x_x, power_x_y, power_x_z, power_x_xy, power_x_xz, power_x_yz, power_x_xyz module procedure power_y_x, power_y_y, power_y_z, power_y_xy, power_y_xz, power_y_yz, power_y_xyz module procedure power_z_x, power_z_y, power_z_z, power_z_xy, power_z_xz, power_z_yz, power_z_xyz module procedure power_xy_x, power_xy_y, power_xy_z, power_xy_xy, power_xy_xz, power_xy_yz, power_xy_xyz module procedure power_xz_x, power_xz_y, power_xz_z, power_xz_xy, power_xz_xz, power_xz_yz, power_xz_xyz module procedure power_yz_x, power_yz_y, power_yz_z, power_yz_xy, power_yz_xz, power_yz_yz, power_yz_xyz module procedure power_xyz_x, power_xyz_y, power_xyz_z, power_xyz_xy, power_xyz_xz, power_xyz_yz, power_xyz_xyz module procedure power_real_x, power_real_y, power_real_z, power_real_xy, power_real_xz, power_real_yz, power_real_xyz module procedure power_x_real, power_y_real, power_z_real, power_xy_real, power_xz_real, power_yz_real, power_xyz_real end interface contains function power_x_x(input1, input2) result(output) type(var_x), intent(in) :: input1 type(var_x), intent(in) :: input2 type(var_x) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" call get_new_id_x(new_id) output%id = new_id do ix = lb_axis1, ub_axis1 work_x(ix, 1, 1, new_id) & = work_x(ix, 1, 1, input1%id) & ** work_x(ix, 1, 1, input2%id) end do output%grid(1) = input1%grid(1) output%grid(2) = -1 output%grid(3) = -1 end function power_x_x function power_x_y(input1, input2) result(output) type(var_x), intent(in) :: input1 type(var_y), intent(in) :: input2 type(var_xy) :: output integer :: new_id call get_new_id_xy(new_id) output%id = new_id do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xy(ix, iy, 1, new_id) & = work_x(ix, 1, 1, input1%id) & ** work_y(1, iy, 1, input2%id) end do end do output%grid(1) = input1%grid(1) output%grid(2) = input2%grid(2) output%grid(3) = -1 end function power_x_y function power_x_z(input1, input2) result(output) type(var_x), intent(in) :: input1 type(var_z), intent(in) :: input2 type(var_xz) :: output integer :: new_id call get_new_id_xz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do ix = lb_axis1, ub_axis1 work_xz(ix, 1, iz, new_id) & = work_x(ix, 1, 1, input1%id) & ** work_z(1, 1, iz, input2%id) end do end do output%grid(1) = input1%grid(1) output%grid(2) = -1 output%grid(3) = input2%grid(3) end function power_x_z function power_x_xy(input1, input2) result(output) type(var_x), intent(in) :: input1 type(var_xy), intent(in) :: input2 type(var_xy) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" call get_new_id_xy(new_id) output%id = new_id do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xy(ix, iy, 1, new_id) & = work_x(ix, 1, 1, input1%id) & ** work_xy(ix, iy, 1, input2%id) end do end do output%grid(1) = input1%grid(1) output%grid(2) = input2%grid(2) output%grid(3) = -1 end function power_x_xy function power_x_xz(input1, input2) result(output) type(var_x), intent(in) :: input1 type(var_xz), intent(in) :: input2 type(var_xz) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" call get_new_id_xz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do ix = lb_axis1, ub_axis1 work_xz(ix, 1, iz, new_id) & = work_x(ix, 1, 1, input1%id) & ** work_xz(ix, 1, iz, input2%id) end do end do output%grid(1) = input1%grid(1) output%grid(2) = -1 output%grid(3) = input2%grid(3) end function power_x_xz function power_x_yz(input1, input2) result(output) type(var_x), intent(in) :: input1 type(var_yz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_x(ix, 1, 1, input1%id) & ** work_yz(1, iy, iz, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input2%grid(2) output%grid(3) = input2%grid(3) end function power_x_yz function power_x_xyz(input1, input2) result(output) type(var_x), intent(in) :: input1 type(var_xyz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_x(ix, 1, 1, input1%id) & ** work_xyz(ix, iy, iz, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input2%grid(2) output%grid(3) = input2%grid(3) end function power_x_xyz function power_x_real(input1, input2) result(output) type(var_x), intent(in) :: input1 real(8), intent(in) :: input2 type(var_x) :: output integer :: new_id call get_new_id_x(new_id) output%id = new_id do ix = lb_axis1, ub_axis1 work_x(ix, 1, 1, new_id) & = work_x(ix, 1, 1, input1%id) **input2 end do output%grid(1) = input1%grid(1) output%grid(2) = -1 output%grid(3) = -1 end function power_x_real function power_y_x(input1, input2) result(output) type(var_y), intent(in) :: input1 type(var_x), intent(in) :: input2 type(var_xy) :: output integer :: new_id call get_new_id_xy(new_id) output%id = new_id do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xy(ix, iy, 1, new_id) & = work_y(1, iy, 1, input1%id) & ** work_x(ix, 1, 1, input2%id) end do end do output%grid(1) = input2%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = -1 end function power_y_x function power_y_y(input1, input2) result(output) type(var_y), intent(in) :: input1 type(var_y), intent(in) :: input2 type(var_y) :: output integer :: new_id if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" call get_new_id_y(new_id) output%id = new_id do iy = lb_axis2, ub_axis2 work_y(1, iy, 1, new_id) & = work_y(1, iy, 1, input1%id) & ** work_y(1, iy, 1, input2%id) end do output%grid(1) = -1 output%grid(2) = input1%grid(2) output%grid(3) = -1 end function power_y_y function power_y_z(input1, input2) result(output) type(var_y), intent(in) :: input1 type(var_z), intent(in) :: input2 type(var_yz) :: output integer :: new_id call get_new_id_yz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 work_yz(1, iy, iz, new_id) & = work_y(1, iy, 1, input1%id) & ** work_z(1, 1, iz, input2%id) end do end do output%grid(1) = -1 output%grid(2) = input1%grid(2) output%grid(3) = input2%grid(3) end function power_y_z function power_y_xy(input1, input2) result(output) type(var_y), intent(in) :: input1 type(var_xy), intent(in) :: input2 type(var_xy) :: output integer :: new_id if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" call get_new_id_xy(new_id) output%id = new_id do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xy(ix, iy, 1, new_id) & = work_y(1, iy, 1, input1%id) & ** work_xy(ix, iy, 1, input2%id) end do end do output%grid(1) = input2%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = -1 end function power_y_xy function power_y_xz(input1, input2) result(output) type(var_y), intent(in) :: input1 type(var_xz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_y(1, iy, 1, input1%id) & ** work_xz(ix, 1, iz, input2%id) end do end do end do output%grid(1) = input2%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input2%grid(3) end function power_y_xz function power_y_yz(input1, input2) result(output) type(var_y), intent(in) :: input1 type(var_yz), intent(in) :: input2 type(var_yz) :: output integer :: new_id if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" call get_new_id_yz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 work_yz(1, iy, iz, new_id) & = work_y(1, iy, 1, input1%id) & ** work_yz(1, iy, iz, input2%id) end do end do output%grid(1) = -1 output%grid(2) = input1%grid(2) output%grid(3) = input2%grid(3) end function power_y_yz function power_y_xyz(input1, input2) result(output) type(var_y), intent(in) :: input1 type(var_xyz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_y(1, iy, 1, input1%id) & ** work_xyz(ix, iy, iz, input2%id) end do end do end do output%grid(1) = input2%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input2%grid(3) end function power_y_xyz function power_y_real(input1, input2) result(output) type(var_y), intent(in) :: input1 real(8), intent(in) :: input2 type(var_y) :: output integer :: new_id call get_new_id_y(new_id) output%id = new_id do iy = lb_axis2, ub_axis2 work_y(1, iy, 1, new_id) & = work_y(1, iy, 1, input1%id) **input2 end do output%grid(1) = -1 output%grid(2) = input1%grid(2) output%grid(3) = -1 end function power_y_real function power_z_x(input1, input2) result(output) type(var_z), intent(in) :: input1 type(var_x), intent(in) :: input2 type(var_xz) :: output integer :: new_id call get_new_id_xz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do ix = lb_axis1, ub_axis1 work_xz(ix, 1, iz, new_id) & = work_z(1, 1, iz, input1%id) & ** work_x(ix, 1, 1, input2%id) end do end do output%grid(1) = input2%grid(1) output%grid(2) = -1 output%grid(3) = input1%grid(3) end function power_z_x function power_z_y(input1, input2) result(output) type(var_z), intent(in) :: input1 type(var_y), intent(in) :: input2 type(var_yz) :: output integer :: new_id call get_new_id_yz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 work_yz(1, iy, iz, new_id) & = work_z(1, 1, iz, input1%id) & ** work_y(1, iy, 1, input2%id) end do end do output%grid(1) = -1 output%grid(2) = input2%grid(2) output%grid(3) = input1%grid(3) end function power_z_y function power_z_z(input1, input2) result(output) type(var_z), intent(in) :: input1 type(var_z), intent(in) :: input2 type(var_z) :: output integer :: new_id if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_z(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 work_z(1, 1, iz, new_id) & = work_z(1, 1, iz, input1%id) & ** work_z(1, 1, iz, input2%id) end do output%grid(1) = -1 output%grid(2) = -1 output%grid(3) = input1%grid(3) end function power_z_z function power_z_xy(input1, input2) result(output) type(var_z), intent(in) :: input1 type(var_xy), intent(in) :: input2 type(var_xyz) :: output integer :: new_id call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_z(1, 1, iz, input1%id) & ** work_xy(ix, iy, 1, input2%id) end do end do end do output%grid(1) = input2%grid(1) output%grid(2) = input2%grid(2) output%grid(3) = input1%grid(3) end function power_z_xy function power_z_xz(input1, input2) result(output) type(var_z), intent(in) :: input1 type(var_xz), intent(in) :: input2 type(var_xz) :: output integer :: new_id if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_xz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do ix = lb_axis1, ub_axis1 work_xz(ix, 1, iz, new_id) & = work_z(1, 1, iz, input1%id) & ** work_xz(ix, 1, iz, input2%id) end do end do output%grid(1) = input2%grid(1) output%grid(2) = -1 output%grid(3) = input1%grid(3) end function power_z_xz function power_z_yz(input1, input2) result(output) type(var_z), intent(in) :: input1 type(var_yz), intent(in) :: input2 type(var_yz) :: output integer :: new_id if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_yz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 work_yz(1, iy, iz, new_id) & = work_z(1, 1, iz, input1%id) & ** work_yz(1, iy, iz, input2%id) end do end do output%grid(1) = -1 output%grid(2) = input2%grid(2) output%grid(3) = input1%grid(3) end function power_z_yz function power_z_xyz(input1, input2) result(output) type(var_z), intent(in) :: input1 type(var_xyz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_z(1, 1, iz, input1%id) & ** work_xyz(ix, iy, iz, input2%id) end do end do end do output%grid(1) = input2%grid(1) output%grid(2) = input2%grid(2) output%grid(3) = input1%grid(3) end function power_z_xyz function power_z_real(input1, input2) result(output) type(var_z), intent(in) :: input1 real(8), intent(in) :: input2 type(var_z) :: output integer :: new_id call get_new_id_z(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 work_z(1, 1, iz, new_id) & = work_z(1, 1, iz, input1%id) **input2 end do output%grid(1) = -1 output%grid(2) = -1 output%grid(3) = input1%grid(3) end function power_z_real function power_xy_x(input1, input2) result(output) type(var_xy), intent(in) :: input1 type(var_x), intent(in) :: input2 type(var_xy) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" call get_new_id_xy(new_id) output%id = new_id do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xy(ix, iy, 1, new_id) & = work_xy(ix, iy, 1, input1%id) & ** work_x(ix, 1, 1, input2%id) end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = -1 end function power_xy_x function power_xy_y(input1, input2) result(output) type(var_xy), intent(in) :: input1 type(var_y), intent(in) :: input2 type(var_xy) :: output integer :: new_id if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" call get_new_id_xy(new_id) output%id = new_id do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xy(ix, iy, 1, new_id) & = work_xy(ix, iy, 1, input1%id) & ** work_y(1, iy, 1, input2%id) end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = -1 end function power_xy_y function power_xy_z(input1, input2) result(output) type(var_xy), intent(in) :: input1 type(var_z), intent(in) :: input2 type(var_xyz) :: output integer :: new_id call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xy(ix, iy, 1, input1%id) & ** work_z(1, 1, iz, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input2%grid(3) end function power_xy_z function power_xy_xy(input1, input2) result(output) type(var_xy), intent(in) :: input1 type(var_xy), intent(in) :: input2 type(var_xy) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" call get_new_id_xy(new_id) output%id = new_id do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xy(ix, iy, 1, new_id) & = work_xy(ix, iy, 1, input1%id) & ** work_xy(ix, iy, 1, input2%id) end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = -1 end function power_xy_xy function power_xy_xz(input1, input2) result(output) type(var_xy), intent(in) :: input1 type(var_xz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xy(ix, iy, 1, input1%id) & ** work_xz(ix, 1, iz, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input2%grid(3) end function power_xy_xz function power_xy_yz(input1, input2) result(output) type(var_xy), intent(in) :: input1 type(var_yz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xy(ix, iy, 1, input1%id) & ** work_yz(1, iy, iz, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input2%grid(3) end function power_xy_yz function power_xy_xyz(input1, input2) result(output) type(var_xy), intent(in) :: input1 type(var_xyz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xy(ix, iy, 1, input1%id) & ** work_xyz(ix, iy, iz, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input2%grid(3) end function power_xy_xyz function power_xy_real(input1, input2) result(output) type(var_xy), intent(in) :: input1 real(8), intent(in) :: input2 type(var_xy) :: output integer :: new_id call get_new_id_xy(new_id) output%id = new_id do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xy(ix, iy, 1, new_id) & = work_xy(ix, iy, 1, input1%id) **input2 end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = -1 end function power_xy_real function power_xz_x(input1, input2) result(output) type(var_xz), intent(in) :: input1 type(var_x), intent(in) :: input2 type(var_xz) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" call get_new_id_xz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do ix = lb_axis1, ub_axis1 work_xz(ix, 1, iz, new_id) & = work_xz(ix, 1, iz, input1%id) & ** work_x(ix, 1, 1, input2%id) end do end do output%grid(1) = input1%grid(1) output%grid(2) = -1 output%grid(3) = input1%grid(3) end function power_xz_x function power_xz_y(input1, input2) result(output) type(var_xz), intent(in) :: input1 type(var_y), intent(in) :: input2 type(var_xyz) :: output integer :: new_id call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xz(ix, 1, iz, input1%id) & ** work_y(1, iy, 1, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input2%grid(2) output%grid(3) = input1%grid(3) end function power_xz_y function power_xz_z(input1, input2) result(output) type(var_xz), intent(in) :: input1 type(var_z), intent(in) :: input2 type(var_xz) :: output integer :: new_id if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_xz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do ix = lb_axis1, ub_axis1 work_xz(ix, 1, iz, new_id) & = work_xz(ix, 1, iz, input1%id) & ** work_z(1, 1, iz, input2%id) end do end do output%grid(1) = input1%grid(1) output%grid(2) = -1 output%grid(3) = input1%grid(3) end function power_xz_z function power_xz_xy(input1, input2) result(output) type(var_xz), intent(in) :: input1 type(var_xy), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xz(ix, 1, iz, input1%id) & ** work_xy(ix, iy, 1, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input2%grid(2) output%grid(3) = input1%grid(3) end function power_xz_xy function power_xz_xz(input1, input2) result(output) type(var_xz), intent(in) :: input1 type(var_xz), intent(in) :: input2 type(var_xz) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_xz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do ix = lb_axis1, ub_axis1 work_xz(ix, 1, iz, new_id) & = work_xz(ix, 1, iz, input1%id) & ** work_xz(ix, 1, iz, input2%id) end do end do output%grid(1) = input1%grid(1) output%grid(2) = -1 output%grid(3) = input1%grid(3) end function power_xz_xz function power_xz_yz(input1, input2) result(output) type(var_xz), intent(in) :: input1 type(var_yz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xz(ix, 1, iz, input1%id) & ** work_yz(1, iy, iz, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input2%grid(2) output%grid(3) = input1%grid(3) end function power_xz_yz function power_xz_xyz(input1, input2) result(output) type(var_xz), intent(in) :: input1 type(var_xyz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xz(ix, 1, iz, input1%id) & ** work_xyz(ix, iy, iz, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input2%grid(2) output%grid(3) = input1%grid(3) end function power_xz_xyz function power_xz_real(input1, input2) result(output) type(var_xz), intent(in) :: input1 real(8), intent(in) :: input2 type(var_xz) :: output integer :: new_id call get_new_id_xz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do ix = lb_axis1, ub_axis1 work_xz(ix, 1, iz, new_id) & = work_xz(ix, 1, iz, input1%id) **input2 end do end do output%grid(1) = input1%grid(1) output%grid(2) = -1 output%grid(3) = input1%grid(3) end function power_xz_real function power_yz_x(input1, input2) result(output) type(var_yz), intent(in) :: input1 type(var_x), intent(in) :: input2 type(var_xyz) :: output integer :: new_id call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_yz(1, iy, iz, input1%id) & ** work_x(ix, 1, 1, input2%id) end do end do end do output%grid(1) = input2%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_yz_x function power_yz_y(input1, input2) result(output) type(var_yz), intent(in) :: input1 type(var_y), intent(in) :: input2 type(var_yz) :: output integer :: new_id if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" call get_new_id_yz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 work_yz(1, iy, iz, new_id) & = work_yz(1, iy, iz, input1%id) & ** work_y(1, iy, 1, input2%id) end do end do output%grid(1) = -1 output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_yz_y function power_yz_z(input1, input2) result(output) type(var_yz), intent(in) :: input1 type(var_z), intent(in) :: input2 type(var_yz) :: output integer :: new_id if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_yz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 work_yz(1, iy, iz, new_id) & = work_yz(1, iy, iz, input1%id) & ** work_z(1, 1, iz, input2%id) end do end do output%grid(1) = -1 output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_yz_z function power_yz_xy(input1, input2) result(output) type(var_yz), intent(in) :: input1 type(var_xy), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_yz(1, iy, iz, input1%id) & ** work_xy(ix, iy, 1, input2%id) end do end do end do output%grid(1) = input2%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_yz_xy function power_yz_xz(input1, input2) result(output) type(var_yz), intent(in) :: input1 type(var_xz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_yz(1, iy, iz, input1%id) & ** work_xz(ix, 1, iz, input2%id) end do end do end do output%grid(1) = input2%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_yz_xz function power_yz_yz(input1, input2) result(output) type(var_yz), intent(in) :: input1 type(var_yz), intent(in) :: input2 type(var_yz) :: output integer :: new_id if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_yz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 work_yz(1, iy, iz, new_id) & = work_yz(1, iy, iz, input1%id) & ** work_yz(1, iy, iz, input2%id) end do end do output%grid(1) = -1 output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_yz_yz function power_yz_xyz(input1, input2) result(output) type(var_yz), intent(in) :: input1 type(var_xyz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_yz(1, iy, iz, input1%id) & ** work_xyz(ix, iy, iz, input2%id) end do end do end do output%grid(1) = input2%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_yz_xyz function power_yz_real(input1, input2) result(output) type(var_yz), intent(in) :: input1 real(8), intent(in) :: input2 type(var_yz) :: output integer :: new_id call get_new_id_yz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 work_yz(1, iy, iz, new_id) & = work_yz(1, iy, iz, input1%id) **input2 end do end do output%grid(1) = -1 output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_yz_real function power_xyz_x(input1, input2) result(output) type(var_xyz), intent(in) :: input1 type(var_x), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xyz(ix, iy, iz, input1%id) & ** work_x(ix, 1, 1, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_xyz_x function power_xyz_y(input1, input2) result(output) type(var_xyz), intent(in) :: input1 type(var_y), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xyz(ix, iy, iz, input1%id) & ** work_y(1, iy, 1, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_xyz_y function power_xyz_z(input1, input2) result(output) type(var_xyz), intent(in) :: input1 type(var_z), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xyz(ix, iy, iz, input1%id) & ** work_z(1, 1, iz, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_xyz_z function power_xyz_xy(input1, input2) result(output) type(var_xyz), intent(in) :: input1 type(var_xy), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xyz(ix, iy, iz, input1%id) & ** work_xy(ix, iy, 1, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_xyz_xy function power_xyz_xz(input1, input2) result(output) type(var_xyz), intent(in) :: input1 type(var_xz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xyz(ix, iy, iz, input1%id) & ** work_xz(ix, 1, iz, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_xyz_xz function power_xyz_yz(input1, input2) result(output) type(var_xyz), intent(in) :: input1 type(var_yz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xyz(ix, iy, iz, input1%id) & ** work_yz(1, iy, iz, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_xyz_yz function power_xyz_xyz(input1, input2) result(output) type(var_xyz), intent(in) :: input1 type(var_xyz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id if ( input1%grid(1) /= input2%grid(1) ) stop "(**)grid violation" if ( input1%grid(2) /= input2%grid(2) ) stop "(**)grid violation" if ( input1%grid(3) /= input2%grid(3) ) stop "(**)grid violation" call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xyz(ix, iy, iz, input1%id) & ** work_xyz(ix, iy, iz, input2%id) end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_xyz_xyz function power_xyz_real(input1, input2) result(output) type(var_xyz), intent(in) :: input1 real(8), intent(in) :: input2 type(var_xyz) :: output integer :: new_id call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = work_xyz(ix, iy, iz, input1%id) **input2 end do end do end do output%grid(1) = input1%grid(1) output%grid(2) = input1%grid(2) output%grid(3) = input1%grid(3) end function power_xyz_real function power_real_x(input1, input2) result(output) real(8), intent(in) :: input1 type(var_x), intent(in) :: input2 type(var_x) :: output integer :: new_id call get_new_id_x(new_id) output%id = new_id do ix = lb_axis1, ub_axis1 work_x(ix, 1, 1, new_id) & = input1 ** work_x(ix, 1, 1, input2%id) end do output%grid(1) = input2%grid(1) output%grid(2) = -1 output%grid(3) = -1 end function power_real_x function power_real_y(input1, input2) result(output) real(8), intent(in) :: input1 type(var_y), intent(in) :: input2 type(var_y) :: output integer :: new_id call get_new_id_y(new_id) output%id = new_id do iy = lb_axis2, ub_axis2 work_y(1, iy, 1, new_id) & = input1 ** work_y(1, iy, 1, input2%id) end do output%grid(1) = -1 output%grid(2) = input2%grid(2) output%grid(3) = -1 end function power_real_y function power_real_z(input1, input2) result(output) real(8), intent(in) :: input1 type(var_z), intent(in) :: input2 type(var_z) :: output integer :: new_id call get_new_id_z(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 work_z(1, 1, iz, new_id) & = input1 ** work_z(1, 1, iz, input2%id) end do output%grid(1) = -1 output%grid(2) = -1 output%grid(3) = input2%grid(3) end function power_real_z function power_real_xy(input1, input2) result(output) real(8), intent(in) :: input1 type(var_xy), intent(in) :: input2 type(var_xy) :: output integer :: new_id call get_new_id_xy(new_id) output%id = new_id do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xy(ix, iy, 1, new_id) & = input1 ** work_xy(ix, iy, 1, input2%id) end do end do output%grid(1) = input2%grid(1) output%grid(2) = input2%grid(2) output%grid(3) = -1 end function power_real_xy function power_real_xz(input1, input2) result(output) real(8), intent(in) :: input1 type(var_xz), intent(in) :: input2 type(var_xz) :: output integer :: new_id call get_new_id_xz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do ix = lb_axis1, ub_axis1 work_xz(ix, 1, iz, new_id) & = input1 ** work_xz(ix, 1, iz, input2%id) end do end do output%grid(1) = input2%grid(1) output%grid(2) = -1 output%grid(3) = input2%grid(3) end function power_real_xz function power_real_yz(input1, input2) result(output) real(8), intent(in) :: input1 type(var_yz), intent(in) :: input2 type(var_yz) :: output integer :: new_id call get_new_id_yz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 work_yz(1, iy, iz, new_id) & = input1 ** work_yz(1, iy, iz, input2%id) end do end do output%grid(1) = -1 output%grid(2) = input2%grid(2) output%grid(3) = input2%grid(3) end function power_real_yz function power_real_xyz(input1, input2) result(output) real(8), intent(in) :: input1 type(var_xyz), intent(in) :: input2 type(var_xyz) :: output integer :: new_id call get_new_id_xyz(new_id) output%id = new_id do iz = lb_axis3, ub_axis3 do iy = lb_axis2, ub_axis2 do ix = lb_axis1, ub_axis1 work_xyz(ix, iy, iz, new_id) & = input1 ** work_xyz(ix, iy, iz, input2%id) end do end do end do output%grid(1) = input2%grid(1) output%grid(2) = input2%grid(2) output%grid(3) = input2%grid(3) end function power_real_xyz end module gms_math_power