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|
#include "cctk.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
subroutine deriv_gf_6_3_opt ( 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(3), save :: a
CCTK_REAL, dimension(9,6), save :: q
CCTK_REAL :: idel
CCTK_INT :: il, ir, jl, jr, kl, kr
logical, save :: first = .true.
if ( first ) then
a(1) = 3.0_wp/4.0_wp; a(2) = -3.0_wp/20.0_wp; a(3) = 1.0_wp/60.0_wp
q(1,1) = -1.582533518939116418785258993332844897062_wp
q(2,1) = 2.033426786468126253898161347360808173712_wp
q(3,1) = -0.1417052898146741610733887894481170575600_wp
q(4,1) = -0.4501096599735708523162117824920488989702_wp
q(5,1) = 0.1042956382142412661862395105494407610836_wp
q(6,1) = 0.03662604404499391209045870736276191879693_wp
q(7,1) = 0.0_wp
q(8,1) = 0.0_wp
q(9,1) = 0.0_wp
q(1,2) = -0.4620701275035953590186631853846278325646_wp
q(2,2) = 0.0_wp
q(3,2) = 0.2873679417026202568532985205129449923126_wp
q(4,2) = 0.2585974499280928196267362923074433487080_wp
q(5,2) = -0.06894808744606961472005221923058251153103_wp
q(6,2) = -0.01494717668104810274131940820517799692506_wp
q(7,2) = 0.0_wp
q(8,2) = 0.0_wp
q(9,2) = 0.0_wp
q(1,3) = 0.07134398748360337973038301686379010397038_wp
q(2,3) = -0.6366933020423417826592908754928085932593_wp
q(3,3) = 0.0_wp
q(4,3) = 0.6067199374180168986519150843189505198519_wp
q(5,3) = -0.02338660408468356531858175098561718651857_wp
q(6,3) = -0.01798401877459493040442547470431484404443_wp
q(7,3) = 0.0_wp
q(8,3) = 0.0_wp
q(9,3) = 0.0_wp
q(1,4) = 0.1146397975178068401430112823144985150596_wp
q(2,4) = -0.2898424301162697370942324201800071793273_wp
q(3,4) = -0.3069262456316931913128086944558079603132_wp
q(4,4) = 0.0_wp
q(5,4) = 0.5203848121857539166740071338174418292578_wp
q(6,4) = -0.05169127637022742348368508279860701098408_wp
q(7,4) = 0.01343534241462959507370778130248180630715_wp
q(8,4) = 0.0_wp
q(9,4) = 0.0_wp
q(1,5) = -0.03614399304268576976452921364705641609825_wp
q(2,5) = 0.1051508663818248421520867474440761344449_wp
q(3,5) = 0.01609777419666805778308369351834662756172_wp
q(4,5) = -0.7080721616106272031118456849378369336023_wp
q(5,5) = 0.0_wp
q(6,5) = 0.7692160858661111736140494493705980473867_wp
q(7,5) = -0.1645296432652024882569506157166433921544_wp
q(8,5) = 0.01828107147391138758410562396851593246160_wp
q(9,5) = 0.0_wp
q(1,6) = -0.01141318406360863692889821914555232596651_wp
q(2,6) = 0.02049729840293952857599941220163960606616_wp
q(3,6) = 0.01113095018331244864875173213474522093204_wp
q(4,6) = 0.06324365883611076515355091406993789453750_wp
q(5,6) = -0.6916640154753724474963890679085181638850_wp
q(6,6) = 0.0_wp
q(7,6) = 0.7397091390607520376247117645715851236273_wp
q(8,6) = -0.1479418278121504075249423529143170247255_wp
q(9,6) = 0.01643798086801671194721581699047966941394_wp
first = .false.
end if
idel = 1.0_wp / delta
if (gsize < 3) 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,:,:) + &
q(5,1) * var(5,:,:) + q(6,1) * var(6,:,:) ) * idel
dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(3,2) * var(3,:,:) + &
q(4,2) * var(4,:,:) + q(5,2) * var(5,:,:) + &
q(6,2) * var(6,:,:) ) * idel
dvar(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + &
q(4,3) * var(4,:,:) + q(5,3) * var(5,:,:) + &
q(6,3) * var(6,:,:) ) * idel
dvar(4,:,:) = ( q(1,4) * var(1,:,:) + q(2,4) * var(2,:,:) + &
q(3,4) * var(3,:,:) + q(5,4) * var(5,:,:) + &
q(6,4) * var(6,:,:) + q(7,4) * var(7,:,:) ) * idel
dvar(5,:,:) = ( q(1,5) * var(1,:,:) + q(2,5) * var(2,:,:) + &
q(3,5) * var(3,:,:) + q(4,5) * var(4,:,:) + &
q(6,5) * var(6,:,:) + q(7,5) * var(7,:,:) + &
q(8,5) * var(8,:,:) ) * idel
dvar(6,:,:) = ( q(1,6) * var(1,:,:) + q(2,6) * var(2,:,:) + &
q(3,6) * var(3,:,:) + q(4,6) * var(4,:,:) + &
q(5,6) * var(5,:,:) + q(7,6) * var(7,:,:) + &
q(8,6) * var(8,:,:) + q(9,6) * var(9,:,:) ) * idel
il = 7
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
dvar(ni-5,:,:) = - ( q(1,6) * var(ni,:,:) + q(2,6) * var(ni-1,:,:) + &
q(3,6) * var(ni-2,:,:) + q(4,6) * var(ni-3,:,:) + &
q(5,6) * var(ni-4,:,:) + q(7,6) * var(ni-6,:,:) + &
q(8,6) * var(ni-7,:,:) + &
q(9,6) * var(ni-8,:,:) ) * idel
dvar(ni-4,:,:) = - ( q(1,5) * var(ni,:,:) + q(2,5) * var(ni-1,:,:) + &
q(3,5) * var(ni-2,:,:) + q(4,5) * var(ni-3,:,:) + &
q(6,5) * var(ni-5,:,:) + q(7,5) * var(ni-6,:,:) + &
q(8,5) * var(ni-7,:,:) ) * idel
dvar(ni-3,:,:) = - ( q(1,4) * var(ni,:,:) + q(2,4) * var(ni-1,:,:) + &
q(3,4) * var(ni-2,:,:) + q(5,4) * var(ni-4,:,:) + &
q(6,4) * var(ni-5,:,:) + &
q(7,4) * var(ni-6,:,:) ) * 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,:,:) + &
q(6,3) * var(ni-5,:,:) ) * idel
dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + q(3,2) * var(ni-2,:,:) + &
q(4,2) * var(ni-3,:,:) + q(5,2) * var(ni-4,:,:) + &
q(6,2) * var(ni-5,:,:) ) * 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,:,:) + &
q(5,1) * var(ni-4,:,:) + &
q(6,1) * var(ni-5,:,:) ) * idel
ir = ni - 6
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,:,:) ) + &
a(3) * ( var(il+3:ir+3,:,:) - &
var(il-3:ir-3,:,:) ) ) * 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,:) + &
q(5,1) * var(:,5,:) + q(6,1) * var(:,6,:) ) * idel
dvar(:,2,:) = ( q(1,2) * var(:,1,:) + q(3,2) * var(:,3,:) + &
q(4,2) * var(:,4,:) + q(5,2) * var(:,5,:) + &
q(6,2) * var(:,6,:) ) * idel
dvar(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + &
q(4,3) * var(:,4,:) + q(5,3) * var(:,5,:) + &
q(6,3) * var(:,6,:) ) * idel
dvar(:,4,:) = ( q(1,4) * var(:,1,:) + q(2,4) * var(:,2,:) + &
q(3,4) * var(:,3,:) + q(5,4) * var(:,5,:) + &
q(6,4) * var(:,6,:) + q(7,4) * var(:,7,:) ) * idel
dvar(:,5,:) = ( q(1,5) * var(:,1,:) + q(2,5) * var(:,2,:) + &
q(3,5) * var(:,3,:) + q(4,5) * var(:,4,:) + &
q(6,5) * var(:,6,:) + q(7,5) * var(:,7,:) + &
q(8,5) * var(:,8,:) ) * idel
dvar(:,6,:) = ( q(1,6) * var(:,1,:) + q(2,6) * var(:,2,:) + &
q(3,6) * var(:,3,:) + q(4,6) * var(:,4,:) + &
q(5,6) * var(:,5,:) + q(7,6) * var(:,7,:) + &
q(8,6) * var(:,8,:) + q(9,6) * var(:,9,:) ) * idel
jl = 7
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
dvar(:,nj-5,:) = - ( q(1,6) * var(:,nj,:) + q(2,6) * var(:,nj-1,:) + &
q(3,6) * var(:,nj-2,:) + q(4,6) * var(:,nj-3,:) + &
q(5,6) * var(:,nj-4,:) + q(7,6) * var(:,nj-6,:) + &
q(8,6) * var(:,nj-7,:) + &
q(9,6) * var(:,nj-8,:) ) * idel
dvar(:,nj-4,:) = - ( q(1,5) * var(:,nj,:) + q(2,5) * var(:,nj-1,:) + &
q(3,5) * var(:,nj-2,:) + q(4,5) * var(:,nj-3,:) + &
q(6,5) * var(:,nj-5,:) + q(7,5) * var(:,nj-6,:) + &
q(8,5) * var(:,nj-7,:) ) * idel
dvar(:,nj-3,:) = - ( q(1,4) * var(:,nj,:) + q(2,4) * var(:,nj-1,:) + &
q(3,4) * var(:,nj-2,:) + q(5,4) * var(:,nj-4,:) + &
q(6,4) * var(:,nj-5,:) + &
q(7,4) * var(:,nj-6,:) ) * 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,:) + &
q(6,3) * var(:,nj-5,:) ) * idel
dvar(:,nj-1,:) = - ( q(1,2) * var(:,nj,:) + q(3,2) * var(:,nj-2,:) + &
q(4,2) * var(:,nj-3,:) + q(5,2) * var(:,nj-4,:) + &
q(6,2) * var(:,nj-5,:) ) * 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,:) + &
q(5,1) * var(:,nj-4,:) + &
q(6,1) * var(:,nj-5,:) ) * idel
jr = nj - 6
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,:) ) + &
a(3) * ( var(:,jl+3:jr+3,:) - &
var(:,jl-3:jr-3,:) ) ) * 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) + &
q(5,1) * var(:,:,5) + q(6,1) * var(:,:,6) ) * idel
dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(3,2) * var(:,:,3) + &
q(4,2) * var(:,:,4) + q(5,2) * var(:,:,5) + &
q(6,2) * var(:,:,6) ) * idel
dvar(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + &
q(4,3) * var(:,:,4) + q(5,3) * var(:,:,5) + &
q(6,3) * var(:,:,6) ) * idel
dvar(:,:,4) = ( q(1,4) * var(:,:,1) + q(2,4) * var(:,:,2) + &
q(3,4) * var(:,:,3) + q(5,4) * var(:,:,5) + &
q(6,4) * var(:,:,6) + q(7,4) * var(:,:,7) ) * idel
dvar(:,:,5) = ( q(1,5) * var(:,:,1) + q(2,5) * var(:,:,2) + &
q(3,5) * var(:,:,3) + q(4,5) * var(:,:,4) + &
q(6,5) * var(:,:,6) + q(7,5) * var(:,:,7) + &
q(8,5) * var(:,:,8) ) * idel
dvar(:,:,6) = ( q(1,6) * var(:,:,1) + q(2,6) * var(:,:,2) + &
q(3,6) * var(:,:,3) + q(4,6) * var(:,:,4) + &
q(5,6) * var(:,:,5) + q(7,6) * var(:,:,7) + &
q(8,6) * var(:,:,8) + q(9,6) * var(:,:,9) ) * idel
kl = 7
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
dvar(:,:,nk-5) = - ( q(1,6) * var(:,:,nk) + q(2,6) * var(:,:,nk-1) + &
q(3,6) * var(:,:,nk-2) + q(4,6) * var(:,:,nk-3) + &
q(5,6) * var(:,:,nk-4) + q(7,6) * var(:,:,nk-6) + &
q(8,6) * var(:,:,nk-7) + &
q(9,6) * var(:,:,nk-8) ) * idel
dvar(:,:,nk-4) = - ( q(1,5) * var(:,:,nk) + q(2,5) * var(:,:,nk-1) + &
q(3,5) * var(:,:,nk-2) + q(4,5) * var(:,:,nk-3) + &
q(6,5) * var(:,:,nk-5) + q(7,5) * var(:,:,nk-6) + &
q(8,5) * var(:,:,nk-7) ) * idel
dvar(:,:,nk-3) = - ( q(1,4) * var(:,:,nk) + q(2,4) * var(:,:,nk-1) + &
q(3,4) * var(:,:,nk-2) + q(5,4) * var(:,:,nk-4) + &
q(6,4) * var(:,:,nk-5) + &
q(7,4) * var(:,:,nk-6) ) * 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) + &
q(6,3) * var(:,:,nk-5) ) * idel
dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + q(3,2) * var(:,:,nk-2) + &
q(4,2) * var(:,:,nk-3) + q(5,2) * var(:,:,nk-4) + &
q(6,2) * var(:,:,nk-5) ) * 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) + &
q(5,1) * var(:,:,nk-4) + &
q(6,1) * var(:,:,nk-5) ) * idel
kr = nk - 6
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) ) + &
a(3) * ( var(:,:,kl+3:kr+3) - &
var(:,:,kl-3:kr-3) ) ) * idel
end if
end select direction
end subroutine deriv_gf_6_3_opt
subroutine up_deriv_gf_6_3_opt ( 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(-3:3), save :: a1, a2
CCTK_REAL, dimension(9,6), save :: q1, q2
CCTK_REAL :: idel
CCTK_INT :: il, ir, jl, jr, kl, kr
logical, save :: first = .true.
if ( first ) then
a1(-3) = -0.03333333333333333333333333333333333333333_wp
a1(-2) = 0.2500000000000000000000000000000000000000_wp
a1(-1) = -1.000000000000000000000000000000000000000_wp
a1(0) = 0.3333333333333333333333333333333333333333_wp
a1(1) = 0.5000000000000000000000000000000000000000_wp
a1(2) = -0.05000000000000000000000000000000000000000_wp
a1(3) = 0.0_wp
q1(1,1) = -1.529782401641145871492417026888416733827_wp
q1(2,1) = 1.875173434574214612019635448027523684006_wp
q1(3,1) = 0.01654806207923748080513710988516743214616_wp
q1(4,1) = -0.5028607772715413996090537489364770622056_wp
q1(5,1) = 0.1042956382142412661862395105494407610836_wp
q1(6,1) = 0.03662604404499391209045870736276191879693_wp
q1(7,1) = 0.0_wp
q1(8,1) = 0.0_wp
q1(9,1) = 0.0_wp
q1(1,2) = -0.4980311697078740570957463452947252270539_wp
q1(2,2) = 0.1198701406809289935902771997003246482977_wp
q1(3,2) = 0.1435237728855054645449658808725554143554_wp
q1(4,2) = 0.3305195343366502157809026121276381376866_wp
q1(5,2) = -0.08093510151416251407907993920061497636080_wp
q1(6,2) = -0.01494717668104810274131940820517799692506_wp
q1(7,2) = 0.0_wp
q1(8,2) = 0.0_wp
q1(9,2) = 0.0_wp
q1(1,3) = 0.1510193840162481602541749755506215314879_wp
q1(2,3) = -0.9553948881729209047544587102401343033294_wp
q1(3,3) = 0.5046108447067502766506824050165990409443_wp
q1(4,3) = 0.2083429547547929960329552908847933822643_wp
q1(5,3) = 0.1359641889806059957290021663880456685165_wp
q1(6,3) = -0.04454248428547652391235612759992531988360_wp
q1(7,3) = 0.0_wp
q1(8,3) = 0.0_wp
q1(9,3) = 0.0_wp
q1(1,4) = 0.1012044551031772450693035010120167087525_wp
q1(2,4) = -0.2092303756284921666519857323651163414844_wp
q1(3,4) = -0.5084563818511371174184254139930350549204_wp
q1(4,4) = 0.2687068482925919014741556260496361261429_wp
q1(5,4) = 0.3188546759663099905683904142802147346506_wp
q1(6,4) = 0.02892077811755014695856160501628382685880_wp
q1(7,4) = 0.0_wp
q1(8,4) = 0.0_wp
q1(9,4) = 0.0_wp
q1(1,5) = -0.03614399304268576976452921364705641609825_wp
q1(2,5) = 0.08686979490791345456798112347556020198327_wp
q1(3,5) = 0.1257842030401363832877174373294422223313_wp
q1(4,5) = -0.9822882337192980168734300444655759205262_wp
q1(5,5) = 0.3656214294782277516821124793703186492319_wp
q1(6,5) = 0.4950000137574403598524650898428590604628_wp
q1(7,5) = -0.05484321442173416275231687190554779738479_wp
q1(8,5) = 0.0_wp
q1(9,5) = 0.0_wp
q1(1,6) = -0.01141318406360863692889821914555232596651_wp
q1(2,6) = 0.02049729840293952857599941220163960606616_wp
q1(3,6) = -0.005307030684704263298464084855734448481896_wp
q1(4,6) = 0.1618715440442110368368458160128159110211_wp
q1(5,6) = -0.9382337284956231267046263227657132050941_wp
q1(6,6) = 0.3287596173603342389443163398095933882788_wp
q1(7,6) = 0.4931394260405013584164745097143900824182_wp
q1(8,6) = -0.04931394260405013584164745097143900824182_wp
q1(9,6) = 0.0_wp
a2(-3) = 0.0_wp
a2(-2) = 0.05000000000000000000000000000000000000000_wp
a2(-1) = -0.5000000000000000000000000000000000000000_wp
a2(0) = -0.3333333333333333333333333333333333333333_wp
a2(1) = 1.000000000000000000000000000000000000000_wp
a2(2) = -0.2500000000000000000000000000000000000000_wp
a2(3) = 0.03333333333333333333333333333333333333333_wp
q2(1,1) = -1.635284636237086966078100959777273060297_wp
q2(2,1) = 2.191680138362037895776687246694092663418_wp
q2(3,1) = -0.2999586417085858029519146887814015472662_wp
q2(4,1) = -0.3973585426756003050233698160476207357348_wp
q2(5,1) = 0.1042956382142412661862395105494407610836_wp
q2(6,1) = 0.03662604404499391209045870736276191879693_wp
q2(7,1) = 0.0_wp
q2(8,1) = 0.0_wp
q2(9,1) = 0.0_wp
q2(1,2) = -0.4261090852993166609415800254745304380753_wp
q2(2,2) = -0.1198701406809289935902771997003246482977_wp
q2(3,2) = 0.4312121105197350491616311601533345702699_wp
q2(4,2) = 0.1866753655195354234725699724872485597294_wp
q2(5,2) = -0.05696107337797671536102449926055004670126_wp
q2(6,2) = -0.01494717668104810274131940820517799692506_wp
q2(7,2) = 0.0_wp
q2(8,2) = 0.0_wp
q2(9,2) = 0.0_wp
q2(1,3) = -0.008331409049041400793408941823041323547141_wp
q2(2,3) = -0.3179917159117626605641230407454828831892_wp
q2(3,3) = -0.5046108447067502766506824050165990409443_wp
q2(4,3) = 1.005096920081240801270874877753107657440_wp
q2(5,3) = -0.1827373971499731263661656683592800415536_wp
q2(6,3) = 0.008574446736286663103505178191295631794744_wp
q2(7,3) = 0.0_wp
q2(8,3) = 0.0_wp
q2(9,3) = 0.0_wp
q2(1,4) = 0.1280751399324364352167190636169803213668_wp
q2(2,4) = -0.3704544846040473075364791079948980171701_wp
q2(3,4) = -0.1053961094122492652071919749185808657060_wp
q2(4,4) = -0.2687068482925919014741556260496361261429_wp
q2(5,4) = 0.7219149484051978427796238533546689238650_wp
q2(6,4) = -0.1323033308580049939259317706134978488270_wp
q2(7,4) = 0.02687068482925919014741556260496361261429_wp
q2(8,4) = 0.0_wp
q2(9,4) = 0.0_wp
q2(1,5) = -0.03614399304268576976452921364705641609825_wp
q2(2,5) = 0.1234319378557362297361923714125920669065_wp
q2(3,5) = -0.09358865464680026772155005029274896720786_wp
q2(4,5) = -0.4338560895019563893502613254100979466783_wp
q2(5,5) = -0.3656214294782277516821124793703186492319_wp
q2(6,5) = 1.043432157974781987375633808898337034311_wp
q2(7,5) = -0.2742160721086708137615843595277389869240_wp
q2(8,5) = 0.03656214294782277516821124793703186492319_wp
q2(9,5) = 0.0_wp
q2(1,6) = -0.01141318406360863692889821914555232596651_wp
q2(2,6) = 0.02049729840293952857599941220163960606616_wp
q2(3,6) = 0.02756893105132916059596754912522489034598_wp
q2(4,6) = -0.03538422637198950652974398787294012194614_wp
q2(5,6) = -0.4450943024551217682881518130513231226759_wp
q2(6,6) = -0.3287596173603342389443163398095933882788_wp
q2(7,6) = 0.9862788520810027168329490194287801648364_wp
q2(8,6) = -0.2465697130202506792082372548571950412091_wp
q2(9,6) = 0.03287596173603342389443163398095933882788_wp
first = .false.
end if
idel = 1.0_wp / delta
if (gsize < 3) 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,:,:) + &
q1(5,1) * var(5,:,:) + q1(6,1) * var(6,:,:) ) * idel
elsewhere
dvar(1,:,:) = ( q2(1,1) * var(1,:,:) + q2(2,1) * var(2,:,:) + &
q2(3,1) * var(3,:,:) + q2(4,1) * var(4,:,:) + &
q2(5,1) * var(5,:,:) + q2(6,1) * var(6,:,:) ) * 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,:,:) + &
q1(5,2) * var(5,:,:) + q1(6,2) * var(6,:,:) ) * idel
elsewhere
dvar(2,:,:) = ( q2(1,2) * var(1,:,:) + q2(2,2) * var(2,:,:) + &
q2(3,2) * var(3,:,:) + q2(4,2) * var(4,:,:) + &
q2(5,2) * var(5,:,:) + q2(6,2) * var(6,:,:) ) * 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,:,:) + q1(6,3) * var(6,:,:) ) * 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,:,:) + q2(6,3) * var(6,:,:) ) * 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,:,:) + &
q1(7,4) * var(7,:,:) ) * 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,:,:) + &
q2(7,4) * var(7,:,:) ) * idel
end where
where ( up(5,:,:) < zero )
dvar(5,:,:) = ( q1(1,5) * var(1,:,:) + q1(2,5) * var(2,:,:) + &
q1(3,5) * var(3,:,:) + q1(4,5) * var(4,:,:) + &
q1(5,5) * var(5,:,:) + q1(6,5) * var(6,:,:) + &
q1(7,5) * var(7,:,:) + q1(8,5) * var(8,:,:) ) * idel
elsewhere
dvar(5,:,:) = ( q2(1,5) * var(1,:,:) + q2(2,5) * var(2,:,:) + &
q2(3,5) * var(3,:,:) + q2(4,5) * var(4,:,:) + &
q2(5,5) * var(5,:,:) + q2(6,5) * var(6,:,:) + &
q2(7,5) * var(7,:,:) + q2(8,5) * var(8,:,:) ) * idel
end where
where ( up(6,:,:) < zero )
dvar(6,:,:) = ( q1(1,6) * var(1,:,:) + q1(2,6) * var(2,:,:) + &
q1(3,6) * var(3,:,:) + q1(4,6) * var(4,:,:) + &
q1(5,6) * var(5,:,:) + q1(6,6) * var(6,:,:) + &
q1(7,6) * var(7,:,:) + q1(8,6) * var(8,:,:) + &
q1(9,6) * var(9,:,:) ) * idel
elsewhere
dvar(6,:,:) = ( q2(1,6) * var(1,:,:) + q2(2,6) * var(2,:,:) + &
q2(3,6) * var(3,:,:) + q2(4,6) * var(4,:,:) + &
q2(5,6) * var(5,:,:) + q2(6,6) * var(6,:,:) + &
q2(7,6) * var(7,:,:) + q2(8,6) * var(8,:,:) + &
q2(9,6) * var(9,:,:) ) * idel
end where
il = 7
end if
if ( bb(2) == 0 ) then
ir = ni - gsize
else
where ( up(ni-5,:,:) < zero )
dvar(ni-5,:,:) = - ( q2(1,6) * var(ni,:,:) + &
q2(2,6) * var(ni-1,:,:) + &
q2(3,6) * var(ni-2,:,:) + &
q2(4,6) * var(ni-3,:,:) + &
q2(5,6) * var(ni-4,:,:) + &
q2(6,6) * var(ni-5,:,:) + &
q2(7,6) * var(ni-6,:,:) + &
q2(8,6) * var(ni-7,:,:) + &
q2(9,6) * var(ni-8,:,:) ) * idel
elsewhere
dvar(ni-5,:,:) = - ( q1(1,6) * var(ni,:,:) + &
q1(2,6) * var(ni-1,:,:) + &
q1(3,6) * var(ni-2,:,:) + &
q1(4,6) * var(ni-3,:,:) + &
q1(5,6) * var(ni-4,:,:) + &
q1(6,6) * var(ni-5,:,:) + &
q1(7,6) * var(ni-6,:,:) + &
q1(8,6) * var(ni-7,:,:) + &
q1(9,6) * var(ni-8,:,:) ) * idel
end where
where ( up(ni-4,:,:) < zero )
dvar(ni-4,:,:) = - ( q2(1,5) * var(ni,:,:) + &
q2(2,5) * var(ni-1,:,:) + &
q2(3,5) * var(ni-2,:,:) + &
q2(4,5) * var(ni-3,:,:) + &
q2(5,5) * var(ni-4,:,:) + &
q2(6,5) * var(ni-5,:,:) + &
q2(7,5) * var(ni-6,:,:) + &
q2(8,5) * var(ni-7,:,:) ) * idel
elsewhere
dvar(ni-4,:,:) = - ( q1(1,5) * var(ni,:,:) + &
q1(2,5) * var(ni-1,:,:) + &
q1(3,5) * var(ni-2,:,:) + &
q1(4,5) * var(ni-3,:,:) + &
q1(5,5) * var(ni-4,:,:) + &
q1(6,5) * var(ni-5,:,:) + &
q1(7,5) * var(ni-6,:,:) + &
q1(8,5) * var(ni-7,:,:) ) * idel
end where
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,:,:) + &
q2(7,4) * var(ni-6,:,:) ) * 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,:,:) + &
q1(7,4) * var(ni-6,:,:) ) * 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,:,:) + &
q2(6,3) * var(ni-5,:,:) ) * 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,:,:) + &
q1(6,3) * var(ni-5,:,:) ) * 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,:,:) + &
q2(5,2) * var(ni-4,:,:) + &
q2(6,2) * var(ni-5,:,:) ) * 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,:,:) + &
q1(5,2) * var(ni-4,:,:) + &
q1(6,2) * var(ni-5,:,:) ) * 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,:,:) + &
q2(5,1) * var(ni-4,:,:) + &
q2(6,1) * var(ni-5,:,:) ) * 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,:,:) + &
q1(5,1) * var(ni-4,:,:) + &
q1(6,1) * var(ni-5,:,:) ) * idel
end where
ir = ni - 6
end if
if (il > ir+1) call CCTK_WARN (0, "domain too small")
where ( up(il:ir,:,:) < zero )
dvar(il:ir,:,:) = ( a1(-3) * var(il-3:ir-3,:,:) + &
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,:,:) + &
a1(3) * var(il+3:ir+3,:,:) ) * idel
elsewhere
dvar(il:ir,:,:) = ( a2(-3) * var(il-3:ir-3,:,:) + &
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,:,:) + &
a2(3) * var(il+3:ir+3,:,:) ) * 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,:) + &
q1(5,1) * var(:,5,:) + q1(6,1) * var(:,6,:) ) * idel
elsewhere
dvar(:,1,:) = ( q2(1,1) * var(:,1,:) + q2(2,1) * var(:,2,:) + &
q2(3,1) * var(:,3,:) + q2(4,1) * var(:,4,:) + &
q2(5,1) * var(:,5,:) + q2(6,1) * var(:,6,:) ) * 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,:) + &
q1(5,2) * var(:,5,:) + q1(6,2) * var(:,6,:) ) * idel
elsewhere
dvar(:,2,:) = ( q2(1,2) * var(:,1,:) + q2(2,2) * var(:,2,:) + &
q2(3,2) * var(:,3,:) + q2(4,2) * var(:,4,:) + &
q2(5,2) * var(:,5,:) + q2(6,2) * var(:,6,:) ) * 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,:) + q1(6,3) * var(:,6,:) ) * 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,:) + q2(6,3) * var(:,6,:) ) * 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,:) + &
q1(7,4) * var(:,7,:) ) * 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,:) + &
q2(7,4) * var(:,7,:) ) * idel
end where
where ( up(:,5,:) < zero )
dvar(:,5,:) = ( q1(1,5) * var(:,1,:) + q1(2,5) * var(:,2,:) + &
q1(3,5) * var(:,3,:) + q1(4,5) * var(:,4,:) + &
q1(5,5) * var(:,5,:) + q1(6,5) * var(:,6,:) + &
q1(7,5) * var(:,7,:) + q1(8,5) * var(:,8,:) ) * idel
elsewhere
dvar(:,5,:) = ( q2(1,5) * var(:,1,:) + q2(2,5) * var(:,2,:) + &
q2(3,5) * var(:,3,:) + q2(4,5) * var(:,4,:) + &
q2(5,5) * var(:,5,:) + q2(6,5) * var(:,6,:) + &
q2(7,5) * var(:,7,:) + q2(8,5) * var(:,8,:) ) * idel
end where
where ( up(:,6,:) < zero )
dvar(:,6,:) = ( q1(1,6) * var(:,1,:) + q1(2,6) * var(:,2,:) + &
q1(3,6) * var(:,3,:) + q1(4,6) * var(:,4,:) + &
q1(5,6) * var(:,5,:) + q1(6,6) * var(:,6,:) + &
q1(7,6) * var(:,7,:) + q1(8,6) * var(:,8,:) + &
q1(9,6) * var(:,9,:) ) * idel
elsewhere
dvar(:,6,:) = ( q2(1,6) * var(:,1,:) + q2(2,6) * var(:,2,:) + &
q2(3,6) * var(:,3,:) + q2(4,6) * var(:,4,:) + &
q2(5,6) * var(:,5,:) + q2(6,6) * var(:,6,:) + &
q2(7,6) * var(:,7,:) + q2(8,6) * var(:,8,:) + &
q2(9,6) * var(:,9,:) ) * idel
end where
jl = 7
end if
if ( bb(2) == 0 ) then
jr = nj - gsize
else
where ( up(:,nj-5,:) < zero )
dvar(:,nj-5,:) = - ( q2(1,6) * var(:,nj,:) + &
q2(2,6) * var(:,nj-1,:) + &
q2(3,6) * var(:,nj-2,:) + &
q2(4,6) * var(:,nj-3,:) + &
q2(5,6) * var(:,nj-4,:) + &
q2(6,6) * var(:,nj-5,:) + &
q2(7,6) * var(:,nj-6,:) + &
q2(8,6) * var(:,nj-7,:) + &
q2(9,6) * var(:,nj-8,:) ) * idel
elsewhere
dvar(:,nj-5,:) = - ( q1(1,6) * var(:,nj,:) + &
q1(2,6) * var(:,nj-1,:) + &
q1(3,6) * var(:,nj-2,:) + &
q1(4,6) * var(:,nj-3,:) + &
q1(5,6) * var(:,nj-4,:) + &
q1(6,6) * var(:,nj-5,:) + &
q1(7,6) * var(:,nj-6,:) + &
q1(8,6) * var(:,nj-7,:) + &
q1(9,6) * var(:,nj-8,:) ) * idel
end where
where ( up(:,nj-4,:) < zero )
dvar(:,nj-4,:) = - ( q2(1,5) * var(:,nj,:) + &
q2(2,5) * var(:,nj-1,:) + &
q2(3,5) * var(:,nj-2,:) + &
q2(4,5) * var(:,nj-3,:) + &
q2(5,5) * var(:,nj-4,:) + &
q2(6,5) * var(:,nj-5,:) + &
q2(7,5) * var(:,nj-6,:) + &
q2(8,5) * var(:,nj-7,:) ) * idel
elsewhere
dvar(:,nj-4,:) = - ( q1(1,5) * var(:,nj,:) + &
q1(2,5) * var(:,nj-1,:) + &
q1(3,5) * var(:,nj-2,:) + &
q1(4,5) * var(:,nj-3,:) + &
q1(5,5) * var(:,nj-4,:) + &
q1(6,5) * var(:,nj-5,:) + &
q1(7,5) * var(:,nj-6,:) + &
q1(8,5) * var(:,nj-7,:) ) * idel
end where
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,:) + &
q2(7,4) * var(:,nj-6,:) ) * 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,:) + &
q1(7,4) * var(:,nj-6,:) ) * 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,:) + &
q2(6,3) * var(:,nj-5,:) ) * 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,:) + &
q1(6,3) * var(:,nj-5,:) ) * 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,:) + &
q2(5,2) * var(:,nj-4,:) + &
q2(6,2) * var(:,nj-5,:) ) * 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,:) + &
q1(5,2) * var(:,nj-4,:) + &
q1(6,2) * var(:,nj-5,:) ) * 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,:) + &
q2(5,1) * var(:,nj-4,:) + &
q2(6,1) * var(:,nj-5,:) ) * 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,:) + &
q1(5,1) * var(:,nj-4,:) + &
q1(6,1) * var(:,nj-5,:) ) * idel
end where
jr = nj - 6
end if
if (jl > jr+1) call CCTK_WARN (0, "domain too small")
where ( up(:,jl:jr,:) < zero )
dvar(:,jl:jr,:) = ( a1(-3) * var(:,jl-3:jr-3,:) + &
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,:) + &
a1(3) * var(:,jl+3:jr+3,:) ) * idel
elsewhere
dvar(:,jl:jr,:) = ( a2(-3) * var(:,jl-3:jr-3,:) + &
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,:) + &
a2(3) * var(:,jl+3:jr+3,:) ) * 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) + &
q1(5,1) * var(:,:,5) + q1(6,1) * var(:,:,6) ) * idel
elsewhere
dvar(:,:,1) = ( q2(1,1) * var(:,:,1) + q2(2,1) * var(:,:,2) + &
q2(3,1) * var(:,:,3) + q2(4,1) * var(:,:,4) + &
q2(5,1) * var(:,:,5) + q2(6,1) * var(:,:,6) ) * 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) + &
q1(5,2) * var(:,:,5) + q1(6,2) * var(:,:,6) ) * idel
elsewhere
dvar(:,:,2) = ( q2(1,2) * var(:,:,1) + q2(2,2) * var(:,:,2) + &
q2(3,2) * var(:,:,3) + q2(4,2) * var(:,:,4) + &
q2(5,2) * var(:,:,5) + q2(6,2) * var(:,:,6) ) * 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) + q1(6,3) * var(:,:,6) ) * 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) + q2(6,3) * var(:,:,6) ) * 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) + &
q1(7,4) * var(:,:,7) ) * 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) + &
q2(7,4) * var(:,:,7) ) * idel
end where
where ( up(:,:,5) < zero )
dvar(:,:,5) = ( q1(1,5) * var(:,:,1) + q1(2,5) * var(:,:,2) + &
q1(3,5) * var(:,:,3) + q1(4,5) * var(:,:,4) + &
q1(5,5) * var(:,:,5) + q1(6,5) * var(:,:,6) + &
q1(7,5) * var(:,:,7) + q1(8,5) * var(:,:,8) ) * idel
elsewhere
dvar(:,:,5) = ( q2(1,5) * var(:,:,1) + q2(2,5) * var(:,:,2) + &
q2(3,5) * var(:,:,3) + q2(4,5) * var(:,:,4) + &
q2(5,5) * var(:,:,5) + q2(6,5) * var(:,:,6) + &
q2(7,5) * var(:,:,7) + q2(8,5) * var(:,:,8) ) * idel
end where
where ( up(:,:,6) < zero )
dvar(:,:,6) = ( q1(1,6) * var(:,:,1) + q1(2,6) * var(:,:,2) + &
q1(3,6) * var(:,:,3) + q1(4,6) * var(:,:,4) + &
q1(5,6) * var(:,:,5) + q1(6,6) * var(:,:,6) + &
q1(7,6) * var(:,:,7) + q1(8,6) * var(:,:,8) + &
q1(9,6) * var(:,:,9) ) * idel
elsewhere
dvar(:,:,6) = ( q2(1,6) * var(:,:,1) + q2(2,6) * var(:,:,2) + &
q2(3,6) * var(:,:,3) + q2(4,6) * var(:,:,4) + &
q2(5,6) * var(:,:,5) + q2(6,6) * var(:,:,6) + &
q2(7,6) * var(:,:,7) + q2(8,6) * var(:,:,8) + &
q2(9,6) * var(:,:,9) ) * idel
end where
kl = 7
end if
if ( bb(2) == 0 ) then
kr = nk - gsize
else
where ( up(:,:,nk-5) < zero )
dvar(:,:,nk-5) = - ( q2(1,6) * var(:,:,nk) + &
q2(2,6) * var(:,:,nk-1) + &
q2(3,6) * var(:,:,nk-2) + &
q2(4,6) * var(:,:,nk-3) + &
q2(5,6) * var(:,:,nk-4) + &
q2(6,6) * var(:,:,nk-5) + &
q2(7,6) * var(:,:,nk-6) + &
q2(8,6) * var(:,:,nk-7) + &
q2(9,6) * var(:,:,nk-8) ) * idel
elsewhere
dvar(:,:,nk-5) = - ( q1(1,6) * var(:,:,nk) + &
q1(2,6) * var(:,:,nk-1) + &
q1(3,6) * var(:,:,nk-2) + &
q1(4,6) * var(:,:,nk-3) + &
q1(5,6) * var(:,:,nk-4) + &
q1(6,6) * var(:,:,nk-5) + &
q1(7,6) * var(:,:,nk-6) + &
q1(8,6) * var(:,:,nk-7) + &
q1(9,6) * var(:,:,nk-8) ) * idel
end where
where ( up(:,:,nk-4) < zero )
dvar(:,:,nk-4) = - ( q2(1,5) * var(:,:,nk) + &
q2(2,5) * var(:,:,nk-1) + &
q2(3,5) * var(:,:,nk-2) + &
q2(4,5) * var(:,:,nk-3) + &
q2(5,5) * var(:,:,nk-4) + &
q2(6,5) * var(:,:,nk-5) + &
q2(7,5) * var(:,:,nk-6) + &
q2(8,5) * var(:,:,nk-7) ) * idel
elsewhere
dvar(:,:,nk-4) = - ( q1(1,5) * var(:,:,nk) + &
q1(2,5) * var(:,:,nk-1) + &
q1(3,5) * var(:,:,nk-2) + &
q1(4,5) * var(:,:,nk-3) + &
q1(5,5) * var(:,:,nk-4) + &
q1(6,5) * var(:,:,nk-5) + &
q1(7,5) * var(:,:,nk-6) + &
q1(8,5) * var(:,:,nk-7) ) * idel
end where
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) + &
q2(7,4) * var(:,:,nk-6) ) * 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) + &
q1(7,4) * var(:,:,nk-6) ) * 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) + &
q2(6,3) * var(:,:,nk-5) ) * 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) + &
q1(6,3) * var(:,:,nk-5) ) * 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) + &
q2(5,2) * var(:,:,nk-4) + &
q2(6,2) * var(:,:,nk-5) ) * 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) + &
q1(5,2) * var(:,:,nk-4) + &
q1(6,2) * var(:,:,nk-5) ) * 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) + &
q2(5,1) * var(:,:,nk-4) + &
q2(6,1) * var(:,:,nk-5) ) * 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) + &
q1(5,1) * var(:,:,nk-4) + &
q1(6,1) * var(:,:,nk-5) ) * idel
end where
kr = nk - 6
end if
if (kl > kr+1) call CCTK_WARN (0, "domain too small")
where ( up(:,:,kl:kr) < zero )
dvar(:,:,kl:kr) = ( a1(-3) * var(:,:,kl-3:kr-3) + &
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) + &
a1(3) * var(:,:,kl+3:kr+3) ) * idel
elsewhere
dvar(:,:,kl:kr) = ( a2(-3) * var(:,:,kl-3:kr-3) + &
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) + &
a2(3) * var(:,:,kl+3:kr+3) ) * idel
end where
end if
end select direction
end subroutine up_deriv_gf_6_3_opt
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