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-rw-r--r--src/Derivatives_4_2.F90442
1 files changed, 287 insertions, 155 deletions
diff --git a/src/Derivatives_4_2.F90 b/src/Derivatives_4_2.F90
index 85e7ab3..aafed03 100644
--- a/src/Derivatives_4_2.F90
+++ b/src/Derivatives_4_2.F90
@@ -182,13 +182,11 @@ subroutine up_deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
CCTK_INT, intent(IN) :: bb(2)
CCTK_INT, intent(IN) :: gsize
CCTK_REAL, intent(IN) :: delta
- CCTK_INT, intent(IN) :: up
+ 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(-2:2) :: a
CCTK_REAL, dimension(6,4), save :: q1, q2
- CCTK_REAL, dimension(6,4) :: q
CCTK_REAL :: idel
CCTK_INT :: il, ir, jl, jr, kl, kr
@@ -263,73 +261,113 @@ subroutine up_deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
idel = 1.0_wp / delta
- upwinding: select case (up)
- case (-1) upwinding
- a = a1
- case (1) upwinding
- a = a2
- end select upwinding
-
direction: select case (dir)
case (0) direction
if ( bb(1) == 0 ) then
il = 1 + gsize
else
- upwinding_xl: select case (up)
- case (-1) upwinding_xl
- q = q1
- case (1) upwinding_xl
- q = q2
- end select upwinding_xl
-
- 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(2,2) * var(2,:,:) + &
- q(3,2) * var(3,:,:) + q(4,2) * var(4,:,:) ) * idel
- dvar(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + &
- q(3,3) * var(3,:,:) + q(4,3) * var(4,:,:) + &
- q(5,3) * var(5,:,:) ) * idel
- dvar(4,:,:) = ( q(1,4) * var(1,:,:) + q(2,4) * var(2,:,:) + &
- q(3,4) * var(3,:,:) + q(4,4) * var(4,:,:) + &
- q(5,4) * var(5,:,:) + q(6,4) * var(6,:,:) ) * idel
+ 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
- upwinding_xr: select case (up)
- case (-1) upwinding_xr
- q = q2
- case (1) upwinding_xr
- q = q1
- end select upwinding_xr
-
- dvar(ni-3,:,:) = - ( q(1,4) * var(ni,:,:) + &
- q(2,4) * var(ni-1,:,:) + &
- q(3,4) * var(ni-2,:,:) + &
- q(4,4) * var(ni-3,:,:) + &
- 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(3,3) * var(ni-2,:,:) + &
- q(4,3) * var(ni-3,:,:) + &
- q(5,3) * var(ni-4,:,:) ) * idel
- dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + &
- q(2,2) * var(ni-1,:,:) + &
- q(3,2) * var(ni-2,:,:) + &
- q(4,2) * var(ni-3,:,:) ) * 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
+ 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
- dvar(il:ir,:,:) = ( a(-2) * var(il-2:ir-2,:,:) + &
- a(-1) * var(il-1:ir-1,:,:) + &
- a(0) * var(il:ir,:,:) + &
- a(1) * var(il+1:ir+1,:,:) + &
- a(2) * var(il+2:ir+2,:,:) ) * idel
+ 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
@@ -337,61 +375,108 @@ subroutine up_deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
if ( bb(1) == 0 ) then
jl = 1 + gsize
else
- upwinding_yl: select case (up)
- case (-1) upwinding_yl
- q = q1
- case (1) upwinding_yl
- q = q2
- end select upwinding_yl
-
- 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(2,2) * var(:,2,:) + &
- q(3,2) * var(:,3,:) + q(4,2) * var(:,4,:) ) * idel
- dvar(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + &
- q(3,3) * var(:,3,:) + q(4,3) * var(:,4,:) + &
- q(5,3) * var(:,5,:) ) * idel
- dvar(:,4,:) = ( q(1,4) * var(:,1,:) + q(2,4) * var(:,2,:) + &
- q(3,4) * var(:,3,:) + q(4,4) * var(:,4,:) + &
- q(5,4) * var(:,5,:) + q(6,4) * var(:,6,:) ) * idel
+ 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
- upwinding_yr: select case (up)
- case (-1) upwinding_yr
- q = q2
- case (1) upwinding_yr
- q = q1
- end select upwinding_yr
-
- dvar(:,nj-3,:) = - ( q(1,4) * var(:,nj,:) + &
- q(2,4) * var(:,nj-1,:) + &
- q(3,4) * var(:,nj-2,:) + &
- q(4,4) * var(:,nj-3,:) + &
- 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(3,3) * var(:,nj-2,:) + &
- q(4,3) * var(:,nj-3,:) + &
- q(5,3) * var(:,nj-4,:) ) * idel
- dvar(:,nj-1,:) = - ( q(1,2) * var(:,nj,:) + &
- q(2,2) * var(:,nj-1,:) + &
- q(3,2) * var(:,nj-2,:) + &
- q(4,2) * var(:,nj-3,:) ) * 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
+ 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
- dvar(:,jl:jr,:) = ( a(-2) * var(:,jl-2:jr-2,:) + &
- a(-1) * var(:,jl-1:jr-1,:) + &
- a(0) * var(:,jl:jr,:) + &
- a(1) * var(:,jl+1:jr+1,:) + &
- a(2) * var(:,jl+2:jr+2,:) ) * idel
+ 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
@@ -400,61 +485,108 @@ subroutine up_deriv_gf_4_2 ( var, ni, nj, nk, dir, bb, gsize, delta, up, dvar )
if ( bb(1) == 0 ) then
kl = 1 + gsize
else
- upwinding_zl: select case (up)
- case (-1) upwinding_zl
- q = q1
- case (1) upwinding_zl
- q = q2
- end select upwinding_zl
-
- 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(2,2) * var(:,:,2) + &
- q(3,2) * var(:,:,3) + q(4,2) * var(:,:,4) ) * idel
- dvar(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + &
- q(3,3) * var(:,:,3) + q(4,3) * var(:,:,4) + &
- q(5,3) * var(:,:,5) ) * idel
- dvar(:,:,4) = ( q(1,4) * var(:,:,1) + q(2,4) * var(:,:,2) + &
- q(3,4) * var(:,:,3) + q(4,4) * var(:,:,4) + &
- q(5,4) * var(:,:,5) + q(6,4) * var(:,:,6) ) * idel
+ 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
- upwinding_zr: select case (up)
- case (-1) upwinding_zr
- q = q2
- case (1) upwinding_zr
- q = q1
- end select upwinding_zr
-
- dvar(:,:,nk-3) = - ( q(1,4) * var(:,:,nk) + &
- q(2,4) * var(:,:,nk-1) + &
- q(3,4) * var(:,:,nk-2) + &
- q(4,4) * var(:,:,nk-3) + &
- 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(3,3) * var(:,:,nk-2) + &
- q(4,3) * var(:,:,nk-3) + &
- q(5,3) * var(:,:,nk-4) ) * idel
- dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + &
- q(2,2) * var(:,:,nk-1) + &
- q(3,2) * var(:,:,nk-2) + &
- q(4,2) * var(:,:,nk-3) ) * 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
- kl = nk - 4
+ 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
- dvar(:,:,kl:kr) = ( a(-2) * var(:,:,kl-2:kr-2) + &
- a(-1) * var(:,:,kl-1:kr-1) + &
- a(0) * var(:,:,kl:kr) + &
- a(1) * var(:,:,kl+1:kr+1) + &
- a(2) * var(:,:,kl+2:kr+2) ) * idel
+ 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