#include "cctk.h" #include "cctk_Functions.h" #include "cctk_Parameters.h" subroutine deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar ) implicit none DECLARE_CCTK_FUNCTIONS DECLARE_CCTK_PARAMETERS CCTK_REAL, parameter :: zero = 0.0 integer, parameter :: wp = kind(zero) CCTK_INT, intent(IN) :: ni, nj, nk CCTK_REAL, dimension(ni,nj,nk), intent(IN) :: var CCTK_INT, intent(IN) :: dir CCTK_INT, intent(IN) :: bb(2) CCTK_INT, intent(IN) :: gsize CCTK_REAL, intent(IN) :: delta CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar CCTK_REAL, dimension(2), save :: a CCTK_REAL, dimension(6,4), save :: q CCTK_REAL :: idel CCTK_INT :: il, ir, jl, jr, kl, kr logical, save :: first = .true. if ( first ) then a(1) = 2.0_wp/3.0_wp; a(2) = -1.0_wp/12.0_wp q(1,1) = -24.0_wp/17.0_wp; q(2,1) = 59.0_wp/34.0_wp q(3,1) = -4.0_wp/17.0_wp; q(4,1) = -3.0_wp/34.0_wp q(5,1) = zero; q(6,1) = zero q(1,2) = -1.0_wp/2.0_wp; q(2,2) = zero q(3,2) = 1.0_wp/2.0_wp; q(4,2) = zero q(5,2) = zero; q(6,2) = zero q(1,3) = 4.0_wp/43.0_wp; q(2,3) = -59.0_wp/86.0_wp q(3,3) = zero; q(4,3) = 59.0_wp/86.0_wp q(5,3) = -4.0_wp/43.0_wp; q(6,3) = zero q(1,4) = 3.0_wp/98.0_wp; q(2,4) = zero q(3,4) = -59.0_wp/98.0_wp; q(4,4) = zero q(5,4) = 32.0_wp/49.0_wp; q(6,4) = -4.0_wp/49.0_wp first = .false. end if idel = 1.0_wp / delta if (gsize < 2) call CCTK_WARN (0, "not enough ghostzones") direction: select case (dir) case (0) direction if ( bb(1) == 0 ) then il = 1 + gsize else dvar(1,:,:) = ( q(1,1) * var(1,:,:) + q(2,1) * var(2,:,:) + & q(3,1) * var(3,:,:) + q(4,1) * var(4,:,:) ) * idel dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(3,2) * var(3,:,:) ) * idel dvar(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + & q(4,3) * var(4,:,:) + q(5,3) * var(5,:,:) ) * idel dvar(4,:,:) = ( q(1,4) * var(1,:,:) + q(3,4) * var(3,:,:) + & q(5,4) * var(5,:,:) + q(6,4) * var(6,:,:) ) * idel il = 5 end if if ( bb(2) == 0 ) then ir = ni - gsize else dvar(ni-3,:,:) = - ( q(1,4) * var(ni,:,:) + & q(3,4) * var(ni-2,:,:) + & q(5,4) * var(ni-4,:,:) + & q(6,4) * var(ni-5,:,:) ) * idel dvar(ni-2,:,:) = - ( q(1,3) * var(ni,:,:) + & q(2,3) * var(ni-1,:,:) + & q(4,3) * var(ni-3,:,:) + & q(5,3) * var(ni-4,:,:) ) * idel dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + & q(3,2) * var(ni-2,:,:) ) * idel dvar(ni,:,:) = - ( q(1,1) * var(ni,:,:) + & q(2,1) * var(ni-1,:,:) + & q(3,1) * var(ni-2,:,:) + & q(4,1) * var(ni-3,:,:) ) * idel ir = ni - 4 end if if (il > ir+1) call CCTK_WARN (0, "domain too small") dvar(il:ir,:,:) = ( a(1) * ( var(il+1:ir+1,:,:) - & var(il-1:ir-1,:,:) ) + & a(2) * ( var(il+2:ir+2,:,:) - & var(il-2:ir-2,:,:) ) ) * idel case (1) direction if ( zero_derivs_y /= 0 ) then dvar = zero else if ( bb(1) == 0 ) then jl = 1 + gsize else dvar(:,1,:) = ( q(1,1) * var(:,1,:) + q(2,1) * var(:,2,:) + & q(3,1) * var(:,3,:) + q(4,1) * var(:,4,:) ) * idel dvar(:,2,:) = ( q(1,2) * var(:,1,:) + q(3,2) * var(:,3,:) ) * idel dvar(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + & q(4,3) * var(:,4,:) + q(5,3) * var(:,5,:) ) * idel dvar(:,4,:) = ( q(1,4) * var(:,1,:) + q(3,4) * var(:,3,:) + & q(5,4) * var(:,5,:) + q(6,4) * var(:,6,:) ) * idel jl = 5 end if if ( bb(2) == 0 ) then jr = nj - gsize else dvar(:,nj-3,:) = - ( q(1,4) * var(:,nj,:) + & q(3,4) * var(:,nj-2,:) + & q(5,4) * var(:,nj-4,:) + & q(6,4) * var(:,nj-5,:) ) * idel dvar(:,nj-2,:) = - ( q(1,3) * var(:,nj,:) + & q(2,3) * var(:,nj-1,:) + & q(4,3) * var(:,nj-3,:) + & q(5,3) * var(:,nj-4,:) ) * idel dvar(:,nj-1,:) = - ( q(1,2) * var(:,nj,:) + & q(3,2) * var(:,nj-2,:) ) * idel dvar(:,nj,:) = - ( q(1,1) * var(:,nj,:) + & q(2,1) * var(:,nj-1,:) + & q(3,1) * var(:,nj-2,:) + & q(4,1) * var(:,nj-3,:) ) * idel jr = nj - 4 end if if (jl > jr+1) call CCTK_WARN (0, "domain too small") dvar(:,jl:jr,:) = ( a(1) * ( var(:,jl+1:jr+1,:) - & var(:,jl-1:jr-1,:) ) + & a(2) * ( var(:,jl+2:jr+2,:) - & var(:,jl-2:jr-2,:) ) ) * idel end if case (2) direction if ( zero_derivs_z /= 0 ) then dvar = zero else if ( bb(1) == 0 ) then kl = 1 + gsize else dvar(:,:,1) = ( q(1,1) * var(:,:,1) + q(2,1) * var(:,:,2) + & q(3,1) * var(:,:,3) + q(4,1) * var(:,:,4) ) * idel dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(3,2) * var(:,:,3) ) * idel dvar(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + & q(4,3) * var(:,:,4) + q(5,3) * var(:,:,5) ) * idel dvar(:,:,4) = ( q(1,4) * var(:,:,1) + q(3,4) * var(:,:,3) + & q(5,4) * var(:,:,5) + q(6,4) * var(:,:,6) ) * idel kl = 5 end if if ( bb(2) == 0 ) then kr = nk - gsize else dvar(:,:,nk-3) = - ( q(1,4) * var(:,:,nk) + & q(3,4) * var(:,:,nk-2) + & q(5,4) * var(:,:,nk-4) + & q(6,4) * var(:,:,nk-5) ) * idel dvar(:,:,nk-2) = - ( q(1,3) * var(:,:,nk) + & q(2,3) * var(:,:,nk-1) + & q(4,3) * var(:,:,nk-3) + & q(5,3) * var(:,:,nk-4) ) * idel dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + & q(3,2) * var(:,:,nk-2) ) * idel dvar(:,:,nk) = - ( q(1,1) * var(:,:,nk) + & q(2,1) * var(:,:,nk-1) + & q(3,1) * var(:,:,nk-2) + & q(4,1) * var(:,:,nk-3) ) * idel kr = nk - 4 end if if (kl > kr+1) call CCTK_WARN (0, "domain too small") dvar(:,:,kl:kr) = ( a(1) * ( var(:,:,kl+1:kr+1) - & var(:,:,kl-1:kr-1) ) + & a(2) * ( var(:,:,kl+2:kr+2) - & var(:,:,kl-2:kr-2) ) ) * idel end if end select direction end subroutine deriv_gf_4_2 subroutine up_deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar ) implicit none DECLARE_CCTK_FUNCTIONS DECLARE_CCTK_PARAMETERS CCTK_REAL, parameter :: zero = 0.0 integer, parameter :: wp = kind(zero) CCTK_INT, intent(IN) :: ni, nj, nk CCTK_REAL, dimension(ni,nj,nk), intent(IN) :: var CCTK_INT, intent(IN) :: dir CCTK_INT, intent(IN) :: bb(2) CCTK_INT, intent(IN) :: gsize CCTK_REAL, intent(IN) :: delta CCTK_REAL, dimension(ni,nj,nk), intent(IN) :: up CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar CCTK_REAL, dimension(-2:2), save :: a1, a2 CCTK_REAL, dimension(6,4), save :: q1, q2 CCTK_REAL :: idel CCTK_INT :: il, ir, jl, jr, kl, kr logical, save :: first = .true. if ( first ) then a1(-2) = 0.1666666666666666666666666666666666666667_wp a1(-1) = -1.000000000000000000000000000000000000000_wp a1(0) = 0.5000000000000000000000000000000000000000_wp a1(1) = 0.3333333333333333333333333333333333333333_wp a1(2) = 0.0_wp q1(1,1) = -1.176470588235294117647058823529411764706_wp q1(2,1) = 1.264705882352941176470588235294117647059_wp q1(3,1) = 0.0_wp q1(4,1) = -0.08823529411764705882352941176470588235294_wp q1(5,1) = 0.0_wp q1(6,1) = 0.0_wp q1(1,2) = -0.6355932203389830508474576271186440677966_wp q1(2,2) = 0.3389830508474576271186440677966101694915_wp q1(3,2) = 0.2288135593220338983050847457627118644068_wp q1(4,2) = 0.06779661016949152542372881355932203389831_wp q1(5,2) = 0.0_wp q1(6,2) = 0.0_wp q1(1,3) = 0.1860465116279069767441860465116279069767_wp q1(2,3) = -1.058139534883720930232558139534883720930_wp q1(3,3) = 0.5581395348837209302325581395348837209302_wp q1(4,3) = 0.3139534883720930232558139534883720930233_wp q1(5,3) = 0.0_wp q1(6,3) = 0.0_wp q1(1,4) = 0.03061224489795918367346938775510204081633_wp q1(2,4) = 0.08163265306122448979591836734693877551020_wp q1(3,4) = -0.9285714285714285714285714285714285714286_wp q1(4,4) = 0.4897959183673469387755102040816326530612_wp q1(5,4) = 0.3265306122448979591836734693877551020408_wp q1(6,4) = 0.0_wp a2(-2) = 0.0_wp a2(-1) = -0.3333333333333333333333333333333333333333_wp a2(0) = -0.5000000000000000000000000000000000000000_wp a2(1) = 1.000000000000000000000000000000000000000_wp a2(2) = -0.1666666666666666666666666666666666666667_wp q2(1,1) = -1.647058823529411764705882352941176470588_wp q2(2,1) = 2.205882352941176470588235294117647058824_wp q2(3,1) = -0.4705882352941176470588235294117647058824_wp q2(4,1) = -0.08823529411764705882352941176470588235294_wp q2(5,1) = 0.0_wp q2(6,1) = 0.0_wp q2(1,2) = -0.3644067796610169491525423728813559322034_wp q2(2,2) = -0.3389830508474576271186440677966101694915_wp q2(3,2) = 0.7711864406779661016949152542372881355932_wp q2(4,2) = -0.06779661016949152542372881355932203389831_wp q2(5,2) = 0.0_wp q2(6,2) = 0.0_wp q2(1,3) = 0.0_wp q2(2,3) = -0.3139534883720930232558139534883720930233_wp q2(3,3) = -0.5581395348837209302325581395348837209302_wp q2(4,3) = 1.058139534883720930232558139534883720930_wp q2(5,3) = -0.1860465116279069767441860465116279069767_wp q2(6,3) = 0.0_wp q2(1,4) = 0.03061224489795918367346938775510204081633_wp q2(2,4) = -0.08163265306122448979591836734693877551020_wp q2(3,4) = -0.2755102040816326530612244897959183673469_wp q2(4,4) = -0.4897959183673469387755102040816326530612_wp q2(5,4) = 0.9795918367346938775510204081632653061224_wp q2(6,4) = -0.1632653061224489795918367346938775510204_wp first = .false. end if idel = 1.0_wp / delta if (gsize < 2) call CCTK_WARN (0, "not enough ghostzones") direction: select case (dir) case (0) direction if ( bb(1) == 0 ) then il = 1 + gsize else where ( up(1,:,:) < zero ) dvar(1,:,:) = ( q1(1,1) * var(1,:,:) + q1(2,1) * var(2,:,:) + & q1(3,1) * var(3,:,:) + q1(4,1) * var(4,:,:) ) * idel elsewhere dvar(1,:,:) = ( q2(1,1) * var(1,:,:) + q2(2,1) * var(2,:,:) + & q2(3,1) * var(3,:,:) + q2(4,1) * var(4,:,:) ) * idel end where where ( up(2,:,:) < zero ) dvar(2,:,:) = ( q1(1,2) * var(1,:,:) + q1(2,2) * var(2,:,:) + & q1(3,2) * var(3,:,:) + q1(4,2) * var(4,:,:) ) * idel elsewhere dvar(2,:,:) = ( q2(1,2) * var(1,:,:) + q2(2,2) * var(2,:,:) + & q2(3,2) * var(3,:,:) + q2(4,2) * var(4,:,:) ) * idel end where where ( up(3,:,:) < zero ) dvar(3,:,:) = ( q1(1,3) * var(1,:,:) + q1(2,3) * var(2,:,:) + & q1(3,3) * var(3,:,:) + q1(4,3) * var(4,:,:) + & q1(5,3) * var(5,:,:) ) * idel elsewhere dvar(3,:,:) = ( q2(1,3) * var(1,:,:) + q2(2,3) * var(2,:,:) + & q2(3,3) * var(3,:,:) + q2(4,3) * var(4,:,:) + & q2(5,3) * var(5,:,:) ) * idel end where where ( up(4,:,:) < zero ) dvar(4,:,:) = ( q1(1,4) * var(1,:,:) + q1(2,4) * var(2,:,:) + & q1(3,4) * var(3,:,:) + q1(4,4) * var(4,:,:) + & q1(5,4) * var(5,:,:) + q1(6,4) * var(6,:,:) ) * idel elsewhere dvar(4,:,:) = ( q2(1,4) * var(1,:,:) + q2(2,4) * var(2,:,:) + & q2(3,4) * var(3,:,:) + q2(4,4) * var(4,:,:) + & q2(5,4) * var(5,:,:) + q2(6,4) * var(6,:,:) ) * idel end where il = 5 end if if ( bb(2) == 0 ) then ir = ni - gsize else where ( up(ni-3,:,:) < zero ) dvar(ni-3,:,:) = - ( q2(1,4) * var(ni,:,:) + & q2(2,4) * var(ni-1,:,:) + & q2(3,4) * var(ni-2,:,:) + & q2(4,4) * var(ni-3,:,:) + & q2(5,4) * var(ni-4,:,:) + & q2(6,4) * var(ni-5,:,:) ) * idel elsewhere dvar(ni-3,:,:) = - ( q1(1,4) * var(ni,:,:) + & q1(2,4) * var(ni-1,:,:) + & q1(3,4) * var(ni-2,:,:) + & q1(4,4) * var(ni-3,:,:) + & q1(5,4) * var(ni-4,:,:) + & q1(6,4) * var(ni-5,:,:) ) * idel end where where ( up(ni-2,:,:) < zero ) dvar(ni-2,:,:) = - ( q2(1,3) * var(ni,:,:) + & q2(2,3) * var(ni-1,:,:) + & q2(3,3) * var(ni-2,:,:) + & q2(4,3) * var(ni-3,:,:) + & q2(5,3) * var(ni-4,:,:) ) * idel elsewhere dvar(ni-2,:,:) = - ( q1(1,3) * var(ni,:,:) + & q1(2,3) * var(ni-1,:,:) + & q1(3,3) * var(ni-2,:,:) + & q1(4,3) * var(ni-3,:,:) + & q1(5,3) * var(ni-4,:,:) ) * idel end where where ( up(ni-1,:,:) < zero ) dvar(ni-1,:,:) = - ( q2(1,2) * var(ni,:,:) + & q2(2,2) * var(ni-1,:,:) + & q2(3,2) * var(ni-2,:,:) + & q2(4,2) * var(ni-3,:,:) ) * idel elsewhere dvar(ni-1,:,:) = - ( q1(1,2) * var(ni,:,:) + & q1(2,2) * var(ni-1,:,:) + & q1(3,2) * var(ni-2,:,:) + & q1(4,2) * var(ni-3,:,:) ) * idel end where where ( up(ni,:,:) < zero ) dvar(ni,:,:) = - ( q2(1,1) * var(ni,:,:) + & q2(2,1) * var(ni-1,:,:) + & q2(3,1) * var(ni-2,:,:) + & q2(4,1) * var(ni-3,:,:) ) * idel elsewhere dvar(ni,:,:) = - ( q1(1,1) * var(ni,:,:) + & q1(2,1) * var(ni-1,:,:) + & q1(3,1) * var(ni-2,:,:) + & q1(4,1) * var(ni-3,:,:) ) * idel end where ir = ni - 4 end if if (il > ir+1) call CCTK_WARN (0, "domain too small") where ( up(il:ir,:,:) < zero ) dvar(il:ir,:,:) = ( a1(-2) * var(il-2:ir-2,:,:) + & a1(-1) * var(il-1:ir-1,:,:) + & a1(0) * var(il:ir,:,:) + & a1(1) * var(il+1:ir+1,:,:) + & a1(2) * var(il+2:ir+2,:,:) ) * idel elsewhere dvar(il:ir,:,:) = ( a2(-2) * var(il-2:ir-2,:,:) + & a2(-1) * var(il-1:ir-1,:,:) + & a2(0) * var(il:ir,:,:) + & a2(1) * var(il+1:ir+1,:,:) + & a2(2) * var(il+2:ir+2,:,:) ) * idel end where case (1) direction if ( zero_derivs_y /= 0 ) then dvar = zero else if ( bb(1) == 0 ) then jl = 1 + gsize else where ( up(:,1,:) < zero ) dvar(:,1,:) = ( q1(1,1) * var(:,1,:) + q1(2,1) * var(:,2,:) + & q1(3,1) * var(:,3,:) + q1(4,1) * var(:,4,:) ) * idel elsewhere dvar(:,1,:) = ( q2(1,1) * var(:,1,:) + q2(2,1) * var(:,2,:) + & q2(3,1) * var(:,3,:) + q2(4,1) * var(:,4,:) ) * idel end where where ( up(:,2,:) < zero ) dvar(:,2,:) = ( q1(1,2) * var(:,1,:) + q1(2,2) * var(:,2,:) + & q1(3,2) * var(:,3,:) + q1(4,2) * var(:,4,:) ) * idel elsewhere dvar(:,2,:) = ( q2(1,2) * var(:,1,:) + q2(2,2) * var(:,2,:) + & q2(3,2) * var(:,3,:) + q2(4,2) * var(:,4,:) ) * idel end where where ( up(:,3,:) < zero ) dvar(:,3,:) = ( q1(1,3) * var(:,1,:) + q1(2,3) * var(:,2,:) + & q1(3,3) * var(:,3,:) + q1(4,3) * var(:,4,:) + & q1(5,3) * var(:,5,:) ) * idel elsewhere dvar(:,3,:) = ( q2(1,3) * var(:,1,:) + q2(2,3) * var(:,2,:) + & q2(3,3) * var(:,3,:) + q2(4,3) * var(:,4,:) + & q2(5,3) * var(:,5,:) ) * idel end where where ( up(:,4,:) < zero ) dvar(:,4,:) = ( q1(1,4) * var(:,1,:) + q1(2,4) * var(:,2,:) + & q1(3,4) * var(:,3,:) + q1(4,4) * var(:,4,:) + & q1(5,4) * var(:,5,:) + q1(6,4) * var(:,6,:) ) * idel elsewhere dvar(:,4,:) = ( q2(1,4) * var(:,1,:) + q2(2,4) * var(:,2,:) + & q2(3,4) * var(:,3,:) + q2(4,4) * var(:,4,:) + & q2(5,4) * var(:,5,:) + q2(6,4) * var(:,6,:) ) * idel end where jl = 5 end if if ( bb(2) == 0 ) then jr = nj - gsize else if (jl > jr+1) call CCTK_WARN (0, "domain too small") where ( up(:,nj-3,:) < zero ) dvar(:,nj-3,:) = - ( q2(1,4) * var(:,nj,:) + & q2(2,4) * var(:,nj-1,:) + & q2(3,4) * var(:,nj-2,:) + & q2(4,4) * var(:,nj-3,:) + & q2(5,4) * var(:,nj-4,:) + & q2(6,4) * var(:,nj-5,:) ) * idel elsewhere dvar(:,nj-3,:) = - ( q1(1,4) * var(:,nj,:) + & q1(2,4) * var(:,nj-1,:) + & q1(3,4) * var(:,nj-2,:) + & q1(4,4) * var(:,nj-3,:) + & q1(5,4) * var(:,nj-4,:) + & q1(6,4) * var(:,nj-5,:) ) * idel end where where ( up(:,nj-2,:) < zero ) dvar(:,nj-2,:) = - ( q2(1,3) * var(:,nj,:) + & q2(2,3) * var(:,nj-1,:) + & q2(3,3) * var(:,nj-2,:) + & q2(4,3) * var(:,nj-3,:) + & q2(5,3) * var(:,nj-4,:) ) * idel elsewhere dvar(:,nj-2,:) = - ( q1(1,3) * var(:,nj,:) + & q1(2,3) * var(:,nj-1,:) + & q1(3,3) * var(:,nj-2,:) + & q1(4,3) * var(:,nj-3,:) + & q1(5,3) * var(:,nj-4,:) ) * idel end where where ( up(:,nj-1,:) < zero ) dvar(:,nj-1,:) = - ( q2(1,2) * var(:,nj,:) + & q2(2,2) * var(:,nj-1,:) + & q2(3,2) * var(:,nj-2,:) + & q2(4,2) * var(:,nj-3,:) ) * idel elsewhere dvar(:,nj-1,:) = - ( q1(1,2) * var(:,nj,:) + & q1(2,2) * var(:,nj-1,:) + & q1(3,2) * var(:,nj-2,:) + & q1(4,2) * var(:,nj-3,:) ) * idel end where where ( up(:,nj,:) < zero ) dvar(:,nj,:) = - ( q2(1,1) * var(:,nj,:) + & q2(2,1) * var(:,nj-1,:) + & q2(3,1) * var(:,nj-2,:) + & q2(4,1) * var(:,nj-3,:) ) * idel elsewhere dvar(:,nj,:) = - ( q1(1,1) * var(:,nj,:) + & q1(2,1) * var(:,nj-1,:) + & q1(3,1) * var(:,nj-2,:) + & q1(4,1) * var(:,nj-3,:) ) * idel end where jr = nj - 4 end if where ( up(:,jl:jr,:) < zero ) dvar(:,jl:jr,:) = ( a1(-2) * var(:,jl-2:jr-2,:) + & a1(-1) * var(:,jl-1:jr-1,:) + & a1(0) * var(:,jl:jr,:) + & a1(1) * var(:,jl+1:jr+1,:) + & a1(2) * var(:,jl+2:jr+2,:) ) * idel elsewhere dvar(:,jl:jr,:) = ( a2(-2) * var(:,jl-2:jr-2,:) + & a2(-1) * var(:,jl-1:jr-1,:) + & a2(0) * var(:,jl:jr,:) + & a2(1) * var(:,jl+1:jr+1,:) + & a2(2) * var(:,jl+2:jr+2,:) ) * idel end where end if case (2) direction if ( zero_derivs_z /= 0 ) then dvar = zero else if ( bb(1) == 0 ) then kl = 1 + gsize else where ( up(:,:,1) < zero ) dvar(:,:,1) = ( q1(1,1) * var(:,:,1) + q1(2,1) * var(:,:,2) + & q1(3,1) * var(:,:,3) + q1(4,1) * var(:,:,4) ) * idel elsewhere dvar(:,:,1) = ( q2(1,1) * var(:,:,1) + q2(2,1) * var(:,:,2) + & q2(3,1) * var(:,:,3) + q2(4,1) * var(:,:,4) ) * idel end where where ( up(:,:,2) < zero ) dvar(:,:,2) = ( q1(1,2) * var(:,:,1) + q1(2,2) * var(:,:,2) + & q1(3,2) * var(:,:,3) + q1(4,2) * var(:,:,4) ) * idel elsewhere dvar(:,:,2) = ( q2(1,2) * var(:,:,1) + q2(2,2) * var(:,:,2) + & q2(3,2) * var(:,:,3) + q2(4,2) * var(:,:,4) ) * idel end where where ( up(:,:,3) < zero ) dvar(:,:,3) = ( q1(1,3) * var(:,:,1) + q1(2,3) * var(:,:,2) + & q1(3,3) * var(:,:,3) + q1(4,3) * var(:,:,4) + & q1(5,3) * var(:,:,5) ) * idel elsewhere dvar(:,:,3) = ( q2(1,3) * var(:,:,1) + q2(2,3) * var(:,:,2) + & q2(3,3) * var(:,:,3) + q2(4,3) * var(:,:,4) + & q2(5,3) * var(:,:,5) ) * idel end where where ( up(:,:,4) < zero ) dvar(:,:,4) = ( q1(1,4) * var(:,:,1) + q1(2,4) * var(:,:,2) + & q1(3,4) * var(:,:,3) + q1(4,4) * var(:,:,4) + & q1(5,4) * var(:,:,5) + q1(6,4) * var(:,:,6) ) * idel elsewhere dvar(:,:,4) = ( q2(1,4) * var(:,:,1) + q2(2,4) * var(:,:,2) + & q2(3,4) * var(:,:,3) + q2(4,4) * var(:,:,4) + & q2(5,4) * var(:,:,5) + q2(6,4) * var(:,:,6) ) * idel end where kl = 5 end if if ( bb(2) == 0 ) then kr = nk - gsize else where ( up(:,:,nk-3) < zero ) dvar(:,:,nk-3) = - ( q2(1,4) * var(:,:,nk) + & q2(2,4) * var(:,:,nk-1) + & q2(3,4) * var(:,:,nk-2) + & q2(4,4) * var(:,:,nk-3) + & q2(5,4) * var(:,:,nk-4) + & q2(6,4) * var(:,:,nk-5) ) * idel elsewhere dvar(:,:,nk-3) = - ( q1(1,4) * var(:,:,nk) + & q1(2,4) * var(:,:,nk-1) + & q1(3,4) * var(:,:,nk-2) + & q1(4,4) * var(:,:,nk-3) + & q1(5,4) * var(:,:,nk-4) + & q1(6,4) * var(:,:,nk-5) ) * idel end where where ( up(:,:,nk-2) < zero ) dvar(:,:,nk-2) = - ( q2(1,3) * var(:,:,nk) + & q2(2,3) * var(:,:,nk-1) + & q2(3,3) * var(:,:,nk-2) + & q2(4,3) * var(:,:,nk-3) + & q2(5,3) * var(:,:,nk-4) ) * idel elsewhere dvar(:,:,nk-2) = - ( q1(1,3) * var(:,:,nk) + & q1(2,3) * var(:,:,nk-1) + & q1(3,3) * var(:,:,nk-2) + & q1(4,3) * var(:,:,nk-3) + & q1(5,3) * var(:,:,nk-4) ) * idel end where where ( up(:,:,nk-1) < zero ) dvar(:,:,nk-1) = - ( q2(1,2) * var(:,:,nk) + & q2(2,2) * var(:,:,nk-1) + & q2(3,2) * var(:,:,nk-2) + & q2(4,2) * var(:,:,nk-3) ) * idel elsewhere dvar(:,:,nk-1) = - ( q1(1,2) * var(:,:,nk) + & q1(2,2) * var(:,:,nk-1) + & q1(3,2) * var(:,:,nk-2) + & q1(4,2) * var(:,:,nk-3) ) * idel end where where ( up(:,:,nk) < zero ) dvar(:,:,nk) = - ( q2(1,1) * var(:,:,nk) + & q2(2,1) * var(:,:,nk-1) + & q2(3,1) * var(:,:,nk-2) + & q2(4,1) * var(:,:,nk-3) ) * idel elsewhere dvar(:,:,nk) = - ( q1(1,1) * var(:,:,nk) + & q1(2,1) * var(:,:,nk-1) + & q1(3,1) * var(:,:,nk-2) + & q1(4,1) * var(:,:,nk-3) ) * idel end where kr = nk - 4 end if if (kl > kr+1) call CCTK_WARN (0, "domain too small") where ( up(:,:,kl:kr) < zero ) dvar(:,:,kl:kr) = ( a1(-2) * var(:,:,kl-2:kr-2) + & a1(-1) * var(:,:,kl-1:kr-1) + & a1(0) * var(:,:,kl:kr) + & a1(1) * var(:,:,kl+1:kr+1) + & a1(2) * var(:,:,kl+2:kr+2) ) * idel elsewhere dvar(:,:,kl:kr) = ( a2(-2) * var(:,:,kl-2:kr-2) + & a2(-1) * var(:,:,kl-1:kr-1) + & a2(0) * var(:,:,kl:kr) + & a2(1) * var(:,:,kl+1:kr+1) + & a2(2) * var(:,:,kl+2:kr+2) ) * idel end where end if end select direction end subroutine up_deriv_gf_4_2