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Diffstat (limited to 'src/Derivatives_8_4_min_err_coeff.F90')
| -rw-r--r-- | src/Derivatives_8_4_min_err_coeff.F90 | 423 |
1 files changed, 423 insertions, 0 deletions
diff --git a/src/Derivatives_8_4_min_err_coeff.F90 b/src/Derivatives_8_4_min_err_coeff.F90 new file mode 100644 index 0000000..a06ee18 --- /dev/null +++ b/src/Derivatives_8_4_min_err_coeff.F90 @@ -0,0 +1,423 @@ +#include "cctk.h" +#include "cctk_Functions.h" +#include "cctk_Parameters.h" + +subroutine deriv_gf_8_4_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(4), save :: a + CCTK_REAL, dimension(12,8), save :: q + CCTK_REAL :: idel + + CCTK_INT :: il, ir, jl, jr, kl, kr, j, k + + logical, save :: first = .true. + + if ( first ) then + a(1) = 4.0_wp/5.0_wp; a(2) = -1.0_wp/5.0_wp + a(3) = 4.0_wp/105.0_wp; a(4) = -1.0_wp/280.0_wp + + q(1,1) = -1.695543604431898508749855654248370812054_wp + q(2,1) = 2.244525109969933844775276252674718713114_wp + q(3,1) = -0.002163206607021876385102025416828692597556_wp + q(4,1) = -0.8963677947307838167920190976769921451579_wp + q(5,1) = 0.2272938673777916084251861567415263328923_wp + q(6,1) = 0.1564962758424078514454013191006671546757_wp + q(7,1) = 0.003067629343740613524557473056482141287158_wp + q(8,1) = -0.03730827676416971624344442423120269215938_wp + q(9,1) = 0_wp + q(10,1) = 0_wp + q(11,1) = 0_wp + q(12,1) = 0_wp + q(1,2) = -0.4338209217401506177055540526837828066711_wp + q(2,2) = 0_wp + q(3,2) = 0.06631961192627293470305188523936353462439_wp + q(4,2) = 0.6021342012739069461791324177355805603656_wp + q(5,2) = -0.2213339967864188453859900127368926875520_wp + q(6,2) = -0.001759980003751516130708214237001705688807_wp + q(7,2) = -0.03586646217917856587352426166797879385310_wp + q(8,2) = 0.02432754750931966421359223835071189877503_wp + q(9,2) = 0_wp + q(10,2) = 0_wp + q(11,2) = 0_wp + q(12,2) = 0_wp + q(1,3) = 0.002477771724790106958560398469919805908522_wp + q(2,3) = -0.3930241559935857537756812928554282732813_wp + q(3,3) = 0_wp + q(4,3) = -0.6080263371305341035810612202824357742461_wp + q(5,3) = 2.372533124692864412954923458457782022478_wp + q(6,3) = -2.126112217612194556872952028715623246817_wp + q(7,3) = 0.9075309435559160631495435310307745215131_wp + q(8,3) = -0.1553791292372561688333328461049890555549_wp + q(9,3) = 0_wp + q(10,3) = 0_wp + q(11,3) = 0_wp + q(12,3) = 0_wp + q(1,4) = 0.1470043328582935680963279007411074464266_wp + q(2,4) = -0.5109179516689331400658365102850902594996_wp + q(3,4) = 0.08705685833207777685654755900085198684605_wp + q(4,4) = 0_wp + q(5,4) = -0.1306945333157231839535552435788086367322_wp + q(6,4) = 0.5981933016362239542598518794410035592720_wp + q(7,4) = -0.2031099149801233772210520666270517105660_wp + q(8,4) = 0.01246790713818440202771648130798761425319_wp + q(9,4) = 0_wp + q(10,4) = 0_wp + q(11,4) = 0_wp + q(12,4) = 0_wp + q(1,5) = -0.1624073990846984662267508265053107632238_wp + q(2,5) = 0.8182390368133059538132603839842499379861_wp + q(3,5) = -1.480018301574606037840376638130713134769_wp + q(4,5) = 0.5694185675497882973361521309100738568707_wp + q(5,5) = 0_wp + q(6,5) = 0.02929508293831017534661096502884570435894_wp + q(7,5) = 0.2825910005984090924748504462528740123097_wp + q(8,5) = -0.04846434332860791750685068920563907354793_wp + q(9,5) = -0.008653643911901097396895772334380539984709_wp + q(10,5) = 0_wp + q(11,5) = 0_wp + q(12,5) = 0_wp + q(1,6) = -0.03609686950604370828405582087760384548297_wp + q(2,6) = 0.002100328577309696555612805397001149641337_wp + q(3,6) = 0.4281425817419204360479874008765051769418_wp + q(4,6) = -0.8413238238875046736839550701643761633826_wp + q(5,6) = -0.009456755727630000971085851751473603919416_wp + q(6,6) = 0_wp + q(7,6) = 0.5172389789041733771234394082779034212042_wp + q(8,6) = -0.08760813565107717873901807278223424202774_wp + q(9,6) = 0.02979718129528502284256573906127239395909_wp + q(10,6) = -0.002793485746432970891490538036994286933664_wp + q(11,6) = 0_wp + q(12,6) = 0_wp + q(1,7) = -0.0009797678134978722516935350416937185004514_wp + q(2,7) = 0.05926834509975463070197111976550139351983_wp + q(3,7) = -0.2530570463899371286637621744353665227114_wp + q(4,7) = 0.3955555826583941989223787901885502942688_wp + q(5,7) = -0.1263166266018192756531792392597193430222_wp + q(6,7) = -0.7162192643577544899896537844517283192029_wp + q(7,7) = 0_wp + q(8,7) = 0.8209721963136350137518635528607308559584_wp + q(9,7) = -0.2166153552278720352907291696202456084323_wp + q(10,7) = 0.04126006766245181624585317516576106827282_wp + q(11,7) = -0.003868131343354857773048735171790100150577_wp + q(12,7) = 0_wp + q(1,8) = 0.01090012273307913185972171872891927027272_wp + q(2,8) = -0.03677379943661633440187210478144113487019_wp + q(3,8) = 0.03963287609450569641558898819403594845401_wp + q(4,8) = -0.02221139656912423686782339404035534965598_wp + q(5,8) = 0.01981665906734246925389947980969432794418_wp + q(6,8) = 0.1109698768905366566973791789571759073485_wp + q(7,8) = -0.7509903604688148129224205834189298636300_wp + q(8,8) = 0_wp + q(9,8) = 0.7926019635554773751160111698352821779736_wp + q(10,8) = -0.1981504908888693437790027924588205444934_wp + q(11,8) = 0.03774295064549892262457196046834677037969_wp + q(12,8) = -0.003538401623015523996053621293907509723096_wp + + first = .false. + end if + + idel = 1.0_wp / delta + + 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,:,:) + & + q(7,1) * var(7,:,:) + q(8,1) * var(8,:,:) ) * 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,:,:) + q(7,2) * var(7,:,:) + & + q(8,2) * var(8,:,:) ) * 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,:,:) + q(7,3) * var(7,:,:) + & + q(8,3) * var(8,:,:) ) * 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,:,:) + & + q(8,4) * var(8,:,:) ) * 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,:,:) + q(9,5) * var(9,:,:) ) * 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,:,:) + & + q(10,6) * var(10,:,:) ) * idel + dvar(7,:,:) = ( q(1,7) * var(1,:,:) + q(2,7) * var(2,:,:) + & + q(3,7) * var(3,:,:) + q(4,7) * var(4,:,:) + & + q(5,7) * var(5,:,:) + q(6,7) * var(6,:,:) + & + q(8,7) * var(8,:,:) + q(9,7) * var(9,:,:) + & + q(10,7) * var(10,:,:) + q(11,7) * var(11,:,:) ) * idel + dvar(8,:,:) = ( q(1,8) * var(1,:,:) + q(2,8) * var(2,:,:) + & + q(3,8) * var(3,:,:) + q(4,8) * var(4,:,:) + & + q(5,8) * var(5,:,:) + q(6,8) * var(6,:,:) + & + q(7,8) * var(7,:,:) + q(9,8) * var(9,:,:) + & + q(10,8) * var(10,:,:) + q(11,8) * var(11,:,:) + & + q(12,8) * var(12,:,:) ) * idel + il = 9 + end if + if ( bb(2) == 0 ) then + ir = ni - gsize + else + 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,:,:) + & + q(7,1) * var(ni-6,:,:) + & + q(8,1) * var(ni-7,:,:) ) * 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,:,:) + q(7,2) * var(ni-6,:,:) + & + q(8,2) * var(ni-7,:,:) ) * 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,:,:) + q(7,3) * var(ni-6,:,:) + & + q(8,3) * 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,:,:) + & + q(8,4) * var(ni-7,:,:) ) * 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,:,:) + & + q(9,5) * var(ni-8,:,:) ) * idel + 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,:,:) + & + q(10,6) * var(ni-9,:,:) ) * idel + dvar(ni-6,:,:) = - ( q(1,7) * var(ni,:,:) + q(2,7) * var(ni-1,:,:) + & + q(3,7) * var(ni-2,:,:) + q(4,7) * var(ni-3,:,:) + & + q(5,7) * var(ni-4,:,:) + q(6,7) * var(ni-5,:,:) + & + q(8,7) * var(ni-7,:,:) + q(9,7) * var(ni-8,:,:) + & + q(10,7) * var(ni-9,:,:) + & + q(11,7) * var(ni-10,:,:) ) * idel + dvar(ni-7,:,:) = - ( q(1,8) * var(ni,:,:) + q(2,8) * var(ni-1,:,:) + & + q(3,8) * var(ni-2,:,:) + q(4,8) * var(ni-3,:,:) + & + q(5,8) * var(ni-4,:,:) + q(6,8) * var(ni-5,:,:) + & + q(7,8) * var(ni-6,:,:) + q(9,8) * var(ni-8,:,:) + & + q(10,8) * var(ni-9,:,:) + & + q(11,8) * var(ni-10,:,:) + & + q(12,8) * var(ni-11,:,:) ) * idel + ir = ni - 8 + end if + 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,:,:) ) + & + a(4) * ( var(il+4:ir+4,:,:) - & + var(il-4:ir-4,:,:) ) ) * idel + case (1) direction + 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,:) + & + q(7,1) * var(:,7,:) + q(8,1) * var(:,8,:) ) * 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,:) + q(7,2) * var(:,7,:) + & + q(8,2) * var(:,8,:) ) * 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,:) + q(7,3) * var(:,7,:) + & + q(8,3) * var(:,8,:) ) * 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,:) + & + q(8,4) * var(:,8,:) ) * 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,:) + q(9,5) * var(:,9,:) ) * 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,:) + & + q(10,6) * var(:,10,:) ) * idel + dvar(:,7,:) = ( q(1,7) * var(:,1,:) + q(2,7) * var(:,2,:) + & + q(3,7) * var(:,3,:) + q(4,7) * var(:,4,:) + & + q(5,7) * var(:,5,:) + q(6,7) * var(:,6,:) + & + q(8,7) * var(:,8,:) + q(9,7) * var(:,9,:) + & + q(10,7) * var(:,10,:) + q(11,7) * var(:,11,:) ) * idel + dvar(:,8,:) = ( q(1,8) * var(:,1,:) + q(2,8) * var(:,2,:) + & + q(3,8) * var(:,3,:) + q(4,8) * var(:,4,:) + & + q(5,8) * var(:,5,:) + q(6,8) * var(:,6,:) + & + q(7,8) * var(:,7,:) + q(9,8) * var(:,9,:) + & + q(10,8) * var(:,10,:) + q(11,8) * var(:,11,:) + & + q(12,8) * var(:,12,:) ) * idel + jl = 9 + end if + if ( bb(2) == 0 ) then + jr = nj - gsize + else + 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,:) + & + q(7,1) * var(:,nj-6,:) + & + q(8,1) * var(:,nj-7,:) ) * 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,:) + q(7,2) * var(:,nj-6,:) + & + q(8,2) * var(:,nj-7,:) ) * 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,:) + q(7,3) * var(:,nj-6,:) + & + q(8,3) * 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,:) + & + q(8,4) * var(:,nj-7,:) ) * 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,:) + & + q(9,5) * var(:,nj-8,:) ) * idel + 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,:) + & + q(10,6) * var(:,nj-9,:) ) * idel + dvar(:,nj-6,:) = - ( q(1,7) * var(:,nj,:) + q(2,7) * var(:,nj-1,:) + & + q(3,7) * var(:,nj-2,:) + q(4,7) * var(:,nj-3,:) + & + q(5,7) * var(:,nj-4,:) + q(6,7) * var(:,nj-5,:) + & + q(8,7) * var(:,nj-7,:) + q(9,7) * var(:,nj-8,:) + & + q(10,7) * var(:,nj-9,:) + & + q(11,7) * var(:,nj-10,:) ) * idel + dvar(:,nj-7,:) = - ( q(1,8) * var(:,nj,:) + q(2,8) * var(:,nj-1,:) + & + q(3,8) * var(:,nj-2,:) + q(4,8) * var(:,nj-3,:) + & + q(5,8) * var(:,nj-4,:) + q(6,8) * var(:,nj-5,:) + & + q(7,8) * var(:,nj-6,:) + q(9,8) * var(:,nj-8,:) + & + q(10,8) * var(:,nj-9,:) + & + q(11,8) * var(:,nj-10,:) + & + q(12,8) * var(:,nj-11,:) ) * idel + jr = nj - 8 + end if + 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,:) ) + & + a(4) * ( var(:,jl+4:jr+4,:) - & + var(:,jl-4:jr-4,:) ) ) * idel + case (2) direction + 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) + & + q(7,1) * var(:,:,7) + q(8,1) * var(:,:,8) ) * 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) + q(7,2) * var(:,:,7) + & + q(8,2) * var(:,:,8) ) * 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) + q(7,3) * var(:,:,7) + & + q(8,3) * var(:,:,8) ) * 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) + & + q(8,4) * var(:,:,8) ) * 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) + q(9,5) * var(:,:,9) ) * 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) + & + q(10,6) * var(:,:,10) ) * idel + dvar(:,:,7) = ( q(1,7) * var(:,:,1) + q(2,7) * var(:,:,2) + & + q(3,7) * var(:,:,3) + q(4,7) * var(:,:,4) + & + q(5,7) * var(:,:,5) + q(6,7) * var(:,:,6) + & + q(8,7) * var(:,:,8) + q(9,7) * var(:,:,9) + & + q(10,7) * var(:,:,10) + q(11,7) * var(:,:,11) ) * idel + dvar(:,:,8) = ( q(1,8) * var(:,:,1) + q(2,8) * var(:,:,2) + & + q(3,8) * var(:,:,3) + q(4,8) * var(:,:,4) + & + q(5,8) * var(:,:,5) + q(6,8) * var(:,:,6) + & + q(7,8) * var(:,:,7) + q(9,8) * var(:,:,9) + & + q(10,8) * var(:,:,10) + q(11,8) * var(:,:,11) + & + q(12,8) * var(:,:,12) ) * idel + kl = 9 + end if + if ( bb(2) == 0 ) then + kr = nk - gsize + else + 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) + & + q(7,1) * var(:,:,nk-6) + & + q(8,1) * var(:,:,nk-7) ) * 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) + q(7,2) * var(:,:,nk-6) + & + q(8,2) * var(:,:,nk-7) ) * 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) + q(7,3) * var(:,:,nk-6) + & + q(8,3) * 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) + & + q(8,4) * var(:,:,nk-7) ) * 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) + & + q(9,5) * var(:,:,nk-8) ) * idel + 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) + & + q(10,6) * var(:,:,nk-9) ) * idel + dvar(:,:,nk-6) = - ( q(1,7) * var(:,:,nk) + q(2,7) * var(:,:,nk-1) + & + q(3,7) * var(:,:,nk-2) + q(4,7) * var(:,:,nk-3) + & + q(5,7) * var(:,:,nk-4) + q(6,7) * var(:,:,nk-5) + & + q(8,7) * var(:,:,nk-7) + q(9,7) * var(:,:,nk-8) + & + q(10,7) * var(:,:,nk-9) + & + q(11,7) * var(:,:,nk-10) ) * idel + dvar(:,:,nk-7) = - ( q(1,8) * var(:,:,nk) + q(2,8) * var(:,:,nk-1) + & + q(3,8) * var(:,:,nk-2) + q(4,8) * var(:,:,nk-3) + & + q(5,8) * var(:,:,nk-4) + q(6,8) * var(:,:,nk-5) + & + q(7,8) * var(:,:,nk-6) + q(9,8) * var(:,:,nk-8) + & + q(10,8) * var(:,:,nk-9) + & + q(11,8) * var(:,:,nk-10) + & + q(12,8) * var(:,:,nk-11) ) * idel + kr = nk - 8 + end if + 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) ) + & + a(4) * ( var(:,:,kl+4:kr+4) - & + var(:,:,kl-4:kr-4) ) ) * idel + end select direction +end subroutine deriv_gf_8_4_opt |