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Fixed bugs. Looks like S=1 Nint>1 is also working.

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v1j4y 2022-12-19 13:56:27 +01:00
parent 82409885de
commit 16913557ca
1 changed files with 105 additions and 74 deletions
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179
src/csf/sigma_vector.irp.f
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@ -149,7 +149,6 @@
ncfgprev = cfg_seniority_index(i+2)
end do
!print *," ^^^^^ N_CSF = ",n_CSF," N_CFG=",N_configuration
END_PROVIDER
@ -881,10 +880,10 @@ subroutine calculate_preconditioner_cfg(diag_energies)
do i=1,N_configuration
Isomo = psi_configuration(1,1,i)
Idomo = psi_configuration(1,2,i)
Icfg(1,1) = psi_configuration(1,1,i)
Icfg(1,2) = psi_configuration(1,2,i)
!Isomo = psi_configuration(1,1,i)
!Idomo = psi_configuration(1,2,i)
!Icfg(1,1) = psi_configuration(1,1,i)
!Icfg(1,2) = psi_configuration(1,2,i)
!NSOMOI = getNSOMO(psi_configuration(:,:,i))
starti = psi_config_data(i,1)
@ -894,6 +893,7 @@ subroutine calculate_preconditioner_cfg(diag_energies)
! find out all pq holes possible
nholes = 0
listholes = -1
! holes in SOMO
!do kk = 1,n_act_orb
! k = list_act(kk)
@ -1258,10 +1258,6 @@ subroutine convertOrbIdsToModelSpaceIds(Ialpha, Jcfg, p, q, extype, pmodel, qmod
! TODO Flag (print) when model space indices is > 64
do ii=1,N_int
!Isomo = Ialpha(ii,1)
!Idomo = Ialpha(ii,2)
!Jsomo = Jcfg(ii,1)
!Jdomo = Jcfg(ii,2)
Isomo(ii) = Ialpha(ii,1)
Idomo(ii) = Ialpha(ii,2)
Jsomo(ii) = Jcfg(ii,1)
@ -1292,26 +1288,30 @@ subroutine convertOrbIdsToModelSpaceIds(Ialpha, Jcfg, p, q, extype, pmodel, qmod
tmpp = 0
!print *,"iint=",iint, " p=",p
do ii=1,iint-1
mask = ISHFT(1_bit_kind,-1)-1_bit_kind
Isomotmp = IAND(Isomo(ii),mask)
tmpp += POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
!mask = ISHFT(1_bit_kind,-1)-1_bit_kind
!Isomotmp = IAND(Isomo(ii),mask)
!tmpp += POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
tmpp += POPCNT(Isomo(ii))
end do
mask = ISHFT(1_bit_kind,ipos+1) - 1
Isomotmp = IAND(Isomo(iint),mask)
pmodel = tmpp + POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
!pmodel = tmpp + POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
pmodel = tmpp + POPCNT(Isomotmp)
!print *,"iint=",iint, " ipos=",ipos,"pmodel=",pmodel, XOR(Isomotmp,mask),Isomo(iint)
iint = shiftr(q-1,bit_kind_shift) + 1
ipos = q-shiftl((iint-1),bit_kind_shift)-1
tmpq = 0
do ii=1,iint-1
mask = ISHFT(1_bit_kind,-1)-1_bit_kind
Isomotmp = IAND(Isomo(ii),mask)
tmpq += POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
!mask = ISHFT(1_bit_kind,-1)-1_bit_kind
!Isomotmp = IAND(Isomo(ii),mask)
!tmpq += POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
tmpq += POPCNT(Isomo(ii))
end do
mask = ISHFT(1_bit_kind,ipos+1) - 1
Isomotmp = IAND(Isomo(iint),mask)
qmodel = tmpq + POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
!qmodel = tmpq + POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
qmodel = tmpq + POPCNT(Isomotmp)
!print *,"iint=",iint, " ipos=",ipos,"qmodel=",qmodel
case (2)
! DOMO -> VMO
@ -1328,25 +1328,29 @@ subroutine convertOrbIdsToModelSpaceIds(Ialpha, Jcfg, p, q, extype, pmodel, qmod
ipos = p-shiftl((iint-1),bit_kind_shift)-1
tmpp = 0
do ii=1,iint-1
mask = ISHFT(1_bit_kind,-1)-1_bit_kind
Jsomotmp = IAND(Jsomo(ii),mask)
tmpp += POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
!mask = ISHFT(1_bit_kind,-1)-1_bit_kind
!Jsomotmp = IAND(Jsomo(ii),mask)
!tmpp += POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
tmpp += POPCNT(Jsomo(ii))
end do
mask = ISHFT(1_bit_kind,ipos+1) - 1
Jsomotmp = IAND(Jsomo(iint),mask)
pmodel = tmpp + POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
!pmodel = tmpp + POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
pmodel = tmpp + POPCNT(Jsomotmp)
iint = shiftr(q-1,bit_kind_shift) + 1
ipos = q-shiftl((iint-1),bit_kind_shift)-1
tmpq = 0
do ii=1,iint-1
mask = ISHFT(1_bit_kind,-1)-1_bit_kind
Jsomotmp = IAND(Jsomo(ii),mask)
tmpq += POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
!mask = ISHFT(1_bit_kind,-1)-1_bit_kind
!Jsomotmp = IAND(Jsomo(ii),mask)
!tmpq += POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
tmpq += POPCNT(Jsomo(ii))
end do
mask = ISHFT(1_bit_kind,ipos+1) - 1
Jsomotmp = IAND(Jsomo(iint),mask)
qmodel = tmpq + POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
!qmodel = tmpq + POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
qmodel = tmpq + POPCNT(Jsomotmp)
case (3)
! SOMO -> VMO
!print *,"type -> SOMO -> VMO"
@ -1363,25 +1367,29 @@ subroutine convertOrbIdsToModelSpaceIds(Ialpha, Jcfg, p, q, extype, pmodel, qmod
ipos = p-shiftl((iint-1),bit_kind_shift)-1
tmpp = 0
do ii=1,iint-1
mask = ISHFT(1_bit_kind,-1)-1_bit_kind
Isomotmp = IAND(Isomo(ii),mask)
tmpp += POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
!mask = ISHFT(1_bit_kind,-1)-1_bit_kind
!Isomotmp = IAND(Isomo(ii),mask)
!tmpp += POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
tmpp += POPCNT(Isomo(ii))
end do
mask = ISHFT(1_8,ipos+1) - 1
mask = ISHFT(1_bit_kind,ipos+1) - 1
Isomotmp = IAND(Isomo(iint),mask)
pmodel = tmpp + POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
!pmodel = tmpp + POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
pmodel = tmpp + POPCNT(Isomotmp)
iint = shiftr(q-1,bit_kind_shift) + 1
ipos = q-shiftl((iint-1),bit_kind_shift)-1
tmpq = 0
do ii=1,iint-1
mask = ISHFT(1_bit_kind,-1)-1_bit_kind
Jsomotmp = IAND(Jsomo(ii),mask)
tmpq += POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
!mask = ISHFT(1_bit_kind,-1)-1_bit_kind
!Jsomotmp = IAND(Jsomo(ii),mask)
!tmpq += POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
tmpq += POPCNT(Jsomo(ii))
end do
mask = ISHFT(1_bit_kind,ipos+1) - 1
Jsomotmp = IAND(Jsomo(iint),mask)
qmodel = tmpq + POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask)) + 1
!qmodel = tmpq + POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask)) + 1
qmodel = tmpq + POPCNT(Jsomotmp) + 1
else
!mask = ISHFT(1_8,p) - 1
!Isomo = IAND(Isomo,mask)
@ -1394,25 +1402,29 @@ subroutine convertOrbIdsToModelSpaceIds(Ialpha, Jcfg, p, q, extype, pmodel, qmod
ipos = p-shiftl((iint-1),bit_kind_shift)-1
tmpp = 0
do ii=1,iint-1
mask = ISHFT(1_bit_kind,-1)-1_bit_kind
Isomotmp = IAND(Isomo(ii),mask)
tmpp += POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
!mask = ISHFT(1_bit_kind,-1)-1_bit_kind
!Isomotmp = IAND(Isomo(ii),mask)
!tmpp += POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
tmpp += POPCNT(Isomo(ii))
end do
mask = ISHFT(1_bit_kind,ipos+1) - 1
Isomotmp = IAND(Isomo(iint),mask)
pmodel = tmpp + POPCNT(mask) - POPCNT(XOR(Isomotmp,mask)) + 1
!pmodel = tmpp + POPCNT(mask) - POPCNT(XOR(Isomotmp,mask)) + 1
pmodel = tmpp + POPCNT(Isomotmp) + 1
iint = shiftr(q-1,bit_kind_shift) + 1
ipos = q-shiftl((iint-1),bit_kind_shift)-1
tmpq = 0
do ii=1,iint-1
mask = ISHFT(1_bit_kind,-1)-1_bit_kind
Jsomotmp = IAND(Jsomo(ii),mask)
tmpq += POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
!mask = ISHFT(1_bit_kind,-1)-1_bit_kind
!Jsomotmp = IAND(Jsomo(ii),mask)
!tmpq += POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
tmpq += POPCNT(Jsomo(ii))
end do
mask = ISHFT(1_bit_kind,ipos+1) - 1
Jsomotmp = IAND(Jsomo(iint),mask)
qmodel = tmpq + POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
!qmodel = tmpq + POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
qmodel = tmpq + POPCNT(Jsomotmp)
endif
case (4)
! DOMO -> SOMO
@ -1431,25 +1443,29 @@ subroutine convertOrbIdsToModelSpaceIds(Ialpha, Jcfg, p, q, extype, pmodel, qmod
ipos = p-shiftl((iint-1),bit_kind_shift)-1
tmpp = 0
do ii=1,iint-1
mask = ISHFT(1_bit_kind,-1)-1_bit_kind
Jsomotmp = IAND(Jsomo(ii),mask)
tmpp += POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
!mask = ISHFT(1_bit_kind,-1)-1_bit_kind
!Jsomotmp = IAND(Jsomo(ii),mask)
!tmpp += POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
tmpp += POPCNT(Jsomo(ii))
end do
mask = ISHFT(1_bit_kind,ipos+1) - 1
Jsomotmp = IAND(Jsomo(iint),mask)
pmodel = tmpp + POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
!pmodel = tmpp + POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
pmodel = tmpp + POPCNT(Jsomotmp)
iint = shiftr(q-1,bit_kind_shift) + 1
ipos = q-shiftl((iint-1),bit_kind_shift)-1
tmpq = 0
do ii=1,iint-1
mask = ISHFT(1_bit_kind,-1)-1_bit_kind
Isomotmp = IAND(Isomo(ii),mask)
tmpq += POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
!mask = ISHFT(1_bit_kind,-1)-1_bit_kind
!Isomotmp = IAND(Isomo(ii),mask)
!tmpq += POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
tmpq += POPCNT(Isomo(ii))
end do
mask = ISHFT(1_bit_kind,ipos+1) - 1
Isomotmp = IAND(Isomo(iint),mask)
qmodel = tmpq + POPCNT(mask) - POPCNT(XOR(Isomotmp,mask)) + 1
!qmodel = tmpq + POPCNT(mask) - POPCNT(XOR(Isomotmp,mask)) + 1
qmodel = tmpq + POPCNT(Isomotmp) + 1
else
!mask = ISHFT(1_8,p) - 1
!Jsomo = IAND(Jsomo,mask)
@ -1462,25 +1478,29 @@ subroutine convertOrbIdsToModelSpaceIds(Ialpha, Jcfg, p, q, extype, pmodel, qmod
ipos = p-shiftl((iint-1),bit_kind_shift)-1
tmpp = 0
do ii=1,iint-1
mask = ISHFT(1_bit_kind,-1)-1_bit_kind
Jsomotmp = IAND(Jsomo(ii),mask)
tmpp += POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
!mask = ISHFT(1_bit_kind,-1)-1_bit_kind
!Jsomotmp = IAND(Jsomo(ii),mask)
!tmpp += POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask))
tmpp += POPCNT(Jsomo(ii))
end do
mask = ISHFT(1_bit_kind,ipos+1) - 1
Jsomotmp = IAND(Jsomo(iint),mask)
pmodel = tmpp + POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask)) + 1
!pmodel = tmpp + POPCNT(mask) - POPCNT(XOR(Jsomotmp,mask)) + 1
pmodel = tmpp + POPCNT(Jsomotmp) + 1
iint = shiftr(q-1,bit_kind_shift) + 1
ipos = q-shiftl((iint-1),bit_kind_shift)-1
tmpq = 0
do ii=1,iint-1
mask = ISHFT(1_bit_kind,-1)-1_bit_kind
Isomotmp = IAND(Isomo(ii),mask)
tmpq += POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
!mask = ISHFT(1_bit_kind,-1)-1_bit_kind
!Isomotmp = IAND(Isomo(ii),mask)
!tmpq += POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
tmpq += POPCNT(Isomo(ii))
end do
mask = ISHFT(1_bit_kind,ipos+1) - 1
Isomotmp = IAND(Isomo(iint),mask)
qmodel = tmpq + POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
!qmodel = tmpq + POPCNT(mask) - POPCNT(XOR(Isomotmp,mask))
qmodel = tmpq + POPCNT(Isomotmp)
endif
case default
print *,"something is wrong in convertOrbIdsToModelSpaceIds"
@ -1560,6 +1580,7 @@ subroutine calculate_sigma_vector_cfg_nst_naive_store(psi_out, psi_in, n_st, sze
real*8 :: tmpvar, tmptot
real*8 :: core_act_contrib
integer :: listall(N_int*bit_kind_size), nelall
integer :: countelec
integer(omp_lock_kind), allocatable :: lock(:)
call omp_set_max_active_levels(1)
@ -1621,7 +1642,7 @@ subroutine calculate_sigma_vector_cfg_nst_naive_store(psi_out, psi_in, n_st, sze
!$OMP shared(istart_cfg, iend_cfg, psi_configuration, mo_num, psi_config_data,&
!$OMP N_int, N_st, psi_out, psi_in, h_core_ri, core_energy, h_act_ri, AIJpqContainer,&
!$OMP pp, sze, NalphaIcfg_list,alphasIcfg_list, bit_tmp, &
!$OMP qq, iint, jint, ipos, jpos, nelall, listall, Nsomo_I, &
!$OMP qq, iint, jint, ipos, jpos, nelall, listall, Nsomo_I, countelec,&
!$OMP AIJpqMatrixDimsList, diag_energies, n_CSF, lock, NBFmax,nconnectedtotalmax, nconnectedmaxJ,maxnalphas,&
!$OMP n_core_orb, n_act_orb, list_act, n, list_core, list_core_is_built,core_act_contrib, num_threads_max,&
!$OMP n_core_orb_is_built, mo_integrals_map, mo_integrals_map_is_built)
@ -1650,7 +1671,7 @@ subroutine calculate_sigma_vector_cfg_nst_naive_store(psi_out, psi_in, n_st, sze
Isomo(ii) = Icfg(ii,1)
Idomo(ii) = Icfg(ii,2)
enddo
NSOMOI = getNSOMO(Icfg)
NSOMOI = getNSOMO(Icfg)
! find out all pq holes possible
nholes = 0
@ -1680,9 +1701,6 @@ subroutine calculate_sigma_vector_cfg_nst_naive_store(psi_out, psi_in, n_st, sze
! enddo
! ! find vmos
listvmos = -1
vmotype = -1
nvmos = 0
! do kk = 1,n_act_orb
! k = list_act(kk)
! !print *,i,IBSET(0,i-1),POPCNT(IAND(Isomo,(IBSET(0_8,i-1)))), POPCNT(IAND(Idomo,(IBSET(0_8,i-1))))
@ -1720,6 +1738,9 @@ subroutine calculate_sigma_vector_cfg_nst_naive_store(psi_out, psi_in, n_st, sze
end do
listvmos = -1
vmotype = -1
nvmos = 0
! find vmos
! Take into account N_int
do ii = 1, n_act_orb
@ -1835,6 +1856,9 @@ subroutine calculate_sigma_vector_cfg_nst_naive_store(psi_out, psi_in, n_st, sze
deallocate(excitationTypes_single)
!print *," singles part psi(1,1)=",psi_out(1,1)
!do i=1,n_CSF
! print *,"i=",i," psi(i)=",psi_out(1,i)
!enddo
allocate(listconnectedJ(N_INT,2,max(sze,10000)))
allocate(alphas_Icfg(N_INT,2,max(sze,10000)))
@ -1849,7 +1873,6 @@ subroutine calculate_sigma_vector_cfg_nst_naive_store(psi_out, psi_in, n_st, sze
!!!====================!!!
!!! Double Excitations !!!
!!!====================!!!
! Loop over all selected configurations
!$OMP DO SCHEDULE(static)
do i = istart_cfg,iend_cfg
@ -1880,7 +1903,8 @@ subroutine calculate_sigma_vector_cfg_nst_naive_store(psi_out, psi_in, n_st, sze
!call obtain_connected_J_givenI(i, Icfg, listconnectedJ, idslistconnectedJ, nconnectedJ, ntotJ)
! TODO : remove doubly excited for return
!print *,"I=",i," isomo=",psi_configuration(1,1,i)," idomo=",psi_configuration(1,2,i), " psiout=",psi_out(1,5), "Nalphas_Icfg=",Nalphas_Icfg
!print *,"I=",i,"isomo=",psi_configuration(1,1,i),psi_configuration(2,1,i),POPCNT(psi_configuration(1,1,i)),POPCNT(psi_configuration(2,1,i)),&
!"idomo=",psi_configuration(1,2,i),psi_configuration(2,2,i),POPCNT(psi_configuration(1,2,i)),POPCNT(psi_configuration(2,2,i)), "Nalphas_Icfg=",Nalphas_Icfg
do k = 1,Nalphas_Icfg
! Now generate all singly excited with respect to a given alpha CFG
@ -1891,11 +1915,11 @@ subroutine calculate_sigma_vector_cfg_nst_naive_store(psi_out, psi_in, n_st, sze
call obtain_connected_I_foralpha(i, alphas_Icfg(1,1,k), connectedI_alpha, idxs_connectedI_alpha, &
nconnectedI, excitationIds, excitationTypes, diagfactors)
!if(i .EQ. 1) then
! !print *,'k=',k,' kcfgSOMO=',alphas_Icfg(1,1,k),alphas_Icfg(2,1,k),' ',POPCNT(alphas_Icfg(1,1,k)),' &
! !kcfgDOMO=',alphas_Icfg(1,2,k),alphas_Icfg(2,2,k),' ',POPCNT(alphas_Icfg(1,2,k)), " NconnectedI=",nconnectedI
! print *,'k=',k,' kcfgSOMO=',alphas_Icfg(1,1,k),' ',POPCNT(alphas_Icfg(1,1,k)),' &
! kcfgDOMO=',alphas_Icfg(1,2,k),' ',POPCNT(alphas_Icfg(1,2,k)), " NconnectedI=",nconnectedI
!if(i .EQ. 218) then
! print *,'k=',k,' kcfgSOMO=',alphas_Icfg(1,1,k),alphas_Icfg(2,1,k),' ',POPCNT(alphas_Icfg(1,1,k)),' &
! kcfgDOMO=',alphas_Icfg(1,2,k),alphas_Icfg(2,2,k),' ',POPCNT(alphas_Icfg(1,2,k)), " NconnectedI=",nconnectedI
! !print *,'k=',k,' kcfgSOMO=',alphas_Icfg(1,1,k),' ',POPCNT(alphas_Icfg(1,1,k)),' &
! !kcfgDOMO=',alphas_Icfg(1,2,k),' ',POPCNT(alphas_Icfg(1,2,k)), " NconnectedI=",nconnectedI
!endif
@ -1911,15 +1935,22 @@ subroutine calculate_sigma_vector_cfg_nst_naive_store(psi_out, psi_in, n_st, sze
NSOMOI = getNSOMO(connectedI_alpha(:,:,j))
p = excitationIds(1,j)
q = excitationIds(2,j)
!print *,"j=",j, " p=",p," q=",q
extype = excitationTypes(j)
!print *,"K=",k,"j=",j, "countelec=",countelec," p=",p," q=",q, " extype=",extype, "NSOMOalpha=",NSOMOalpha," NSOMOI=",NSOMOI, "alphas_Icfg(1,1,k)=",alphas_Icfg(1,1,k), &
!alphas_Icfg(2,1,k), " domo=",alphas_Icfg(1,2,k), alphas_Icfg(2,2,k), " connected somo=",connectedI_alpha(1,1,j), &
!connectedI_alpha(2,1,j), " domo=",connectedI_alpha(1,2,j), connectedI_alpha(2,2,j)
call convertOrbIdsToModelSpaceIds(alphas_Icfg(1,1,k), connectedI_alpha(1,1,j), p, q, extype, pmodel, qmodel)
! for E_pp E_rs and E_ppE_rr case
if(i.eq.1)then
print *,"j=",j," k=",k,"p=",p,"q=",q,"NSOMOalpha=",NSOMOalpha, "pmodel=",pmodel,"qmodel=",qmodel, "extype=",extype
endif
rowsikpq = AIJpqMatrixDimsList(NSOMOalpha,extype,pmodel,qmodel,1)
colsikpq = AIJpqMatrixDimsList(NSOMOalpha,extype,pmodel,qmodel,2)
!if(i.eq.218)then
! print *,"j=",j," k=",k,"p=",p,"q=",q,"NSOMOalpha=",NSOMOalpha, "pmodel=",pmodel,"qmodel=",qmodel, "extype=",extype,&
! "conn somo=",connectedI_alpha(1,1,j),connectedI_alpha(2,1,j),&
! "conn domo=",connectedI_alpha(1,2,j),connectedI_alpha(2,2,j)
! do m=1,colsikpq
! print *,idxs_connectedI_alpha(j)+m-1
! enddo
!endif
!print *,"j=",j," Nsomo=",NSOMOalpha," rowsikpq=",rowsikpq," colsikpq=",colsikpq, " p=",pmodel," q=",qmodel, " extyp=",extype
totcolsTKI += colsikpq
rowsTKI = rowsikpq