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https://github.com/QuantumPackage/qp2.git
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Disk-based cholesky
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2a9b8c56a1
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@ -16,6 +16,7 @@ END_PROVIDER
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BEGIN_PROVIDER [ integer, cholesky_ao_num ]
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&BEGIN_PROVIDER [ double precision, cholesky_ao, (ao_num, ao_num, 1) ]
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use mmap_module
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implicit none
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BEGIN_DOC
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! Cholesky vectors in AO basis: (ik|a):
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@ -30,19 +31,19 @@ END_PROVIDER
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integer*8 :: ndim8
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integer :: rank
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double precision :: tau, tau2
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double precision, pointer :: L(:,:), L_old(:,:)
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double precision, pointer :: L(:,:)
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double precision :: s
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double precision :: dscale, dscale_tmp
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double precision, allocatable :: D(:), Delta(:,:), Ltmp_p(:,:), Ltmp_q(:,:)
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double precision, allocatable :: D(:), Delta(:,:), Ltmp_p(:,:), Ltmp_q(:,:), D_sorted(:)
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integer, allocatable :: addr1(:), addr2(:)
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integer*8, allocatable :: Lset(:), Dset(:), addr3(:)
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logical, allocatable :: computed(:)
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integer :: i,j,k,m,p,q, dj, p2, q2
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integer*8 :: i8, j8, p8, qj8
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integer :: N, np, nq, npmax
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integer*8 :: i8, j8, p8, qj8, rank_max, np8
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integer :: N, np, nq
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double precision :: Dmax, Dmin, Qmax, f
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double precision, external :: get_ao_two_e_integral
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@ -61,12 +62,12 @@ END_PROVIDER
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ndim8 = ao_num*ao_num*1_8
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double precision :: wall0,wall1
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type(c_ptr) :: c_pointer(2)
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integer :: fd(2)
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call wall_time(wall0)
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deallocate(cholesky_ao)
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! TODO : Save L() to disk
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if (read_ao_cholesky) then
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print *, 'Reading Cholesky vectors from disk...'
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iunit = getUnitAndOpen(trim(ezfio_work_dir)//'cholesky_ao', 'R')
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@ -81,6 +82,16 @@ END_PROVIDER
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PROVIDE nucl_coord ao_two_e_integral_schwartz
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call set_multiple_levels_omp(.False.)
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rank_max = min(ndim8,274877906944_8/1_8/ndim8)
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call mmap(trim(ezfio_work_dir)//'cholesky_ao_tmp', (/ ndim8, rank_max /), 8, fd(1), .False., c_pointer(1))
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call c_f_pointer(c_pointer(1), L, (/ ndim8, rank_max /))
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!print *, 'rank_max/ndim8', dble(rank_max) / dble(ndim8)
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! Deleting the file while it is open makes the file invisible on the filesystem,
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! and automatically deleted, even if the program crashes
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iunit = getUnitAndOpen(trim(ezfio_work_dir)//'cholesky_ao_tmp', 'R')
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close(iunit,status='delete')
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if (do_direct_integrals) then
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if (ao_two_e_integral(1,1,1,1) < huge(1.d0)) then
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! Trigger providers inside ao_two_e_integral
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@ -98,9 +109,6 @@ END_PROVIDER
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call print_memory_usage()
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allocate(L(ndim8,1))
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!print *, 'allocate : (L(ndim8,1))', memory_of_double8(ndim8)
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print *, ''
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print *, 'Cholesky decomposition of AO integrals'
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print *, '======================================'
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@ -112,7 +120,7 @@ END_PROVIDER
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rank = 0
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allocate( D(ndim8), Lset(ndim8), Dset(ndim8) )
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allocate( D(ndim8), Lset(ndim8), Dset(ndim8), D_sorted(ndim8))
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allocate( addr1(ndim8), addr2(ndim8), addr3(ndim8) )
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!print *, 'allocate : (D(ndim8))', memory_of_int8(ndim8)
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!print *, 'allocate : (Lset(ndim8))', memory_of_int8(ndim8)
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@ -132,44 +140,52 @@ END_PROVIDER
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if (do_direct_integrals) then
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!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(i8) SCHEDULE(dynamic,16)
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do i8=1,ndim8
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do i8=ndim8,1,-1
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D(i8) = ao_two_e_integral(addr1(i8), addr2(i8), &
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addr1(i8), addr2(i8))
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enddo
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!$OMP END PARALLEL DO
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else
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!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(i8) SCHEDULE(dynamic,16)
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do i8=1,ndim8
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do i8=ndim8,1,-1
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D(i8) = get_ao_two_e_integral(addr1(i8), addr1(i8), &
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addr2(i8), addr2(i8), &
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ao_integrals_map)
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enddo
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!$OMP END PARALLEL DO
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endif
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D_sorted(:) = -D(:)
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call dsort_noidx_big(D_sorted,ndim8)
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D_sorted(:) = dabs(D_sorted(:))
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Dmax = maxval(D)
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Dmax = D_sorted(1)
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! 2.
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npmax = huge(1_4)*1_8
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np = npmax
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dscale = 1.d0
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dscale_tmp = Dmax
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do while (np == npmax)
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np=0
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dscale = tau2/Dmax
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do i8=1,ndim8
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if (D_sorted(i8) <= dscale) exit
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enddo
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mem = qp_max_mem+1
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do while ( (mem > qp_max_mem).and.(i8>1_8) )
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dscale = min(1.d0,dsqrt(tau2/(D_sorted(i8)*Dmax)))
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dscale_tmp = dscale*dscale*Dmax
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! print *, 'dscale = ', dscale, dble(i8)/dble(ndim8)
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np8=0_8
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do p8=1,ndim8
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if ( dscale_tmp*D(p8) > tau2 ) then
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np = np+1
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Lset(np) = p8
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if (np == npmax) then
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! Overflow detected
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dscale = dscale*0.1d0
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dscale_tmp = dscale*dscale*Dmax
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!print *, 'Overflow detected '
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!print *, 'dscale = ', dscale
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exit
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endif
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np8 = np8+1_8
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Lset(np8) = p8
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endif
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enddo
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i8 = i8*3_8/4_8
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if (np8 > huge(1_4)/64_8) cycle
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np = np8
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! print *, 'np = ', np
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call resident_memory(mem)
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mem = mem &
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+ 0.1d0*np*memory_of_double(np) ! Delta(np,nq)
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enddo
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! 3.
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@ -179,7 +195,7 @@ END_PROVIDER
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i = 0
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! 5.
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do while ( (Dmax > tau).and.(rank < min(ndim8,huge(1_4))) )
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do while ( (Dmax > tau).and.(rank*1_8 < min(ndim8,rank_max)) )
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! a.
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i = i+1
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@ -202,12 +218,12 @@ END_PROVIDER
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enddo
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call total_memory(mem)
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call resident_memory(mem)
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mem = mem &
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+ np*memory_of_double(nq) &! Delta(np,nq)
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+ (rank+nq)* memory_of_double8(ndim8) &! L(ndim8,rank+nq)
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+ (np+nq)*memory_of_double(block_size) ! Ltmp_p(np,block_size) + Ltmp_q(nq,block_size)
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!print *, 'mem = ', mem
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if (mem > qp_max_mem) then
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s = s*2.d0
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else
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@ -217,7 +233,7 @@ END_PROVIDER
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if ((s > 1.d0).or.(nq == 0)) then
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call print_memory_usage()
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print *, 'Required peak memory: ', mem, 'Gb'
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call total_memory(mem)
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call resident_memory(mem)
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print *, 'Already used memory: ', mem, 'Gb'
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print *, 'Not enough memory. Reduce cholesky threshold'
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stop -1
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@ -227,26 +243,6 @@ END_PROVIDER
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! d., e.
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L_old => L
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allocate(L(ndim8,rank+nq), stat=ierr)
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!print *, 'allocate : L(ndim8,rank+nq)', memory_of_double8(ndim8*(rank+nq))
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if (ierr /= 0) then
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call print_memory_usage()
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print *, irp_here, ': allocation failed : (L(ndim8,rank+nq))'
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stop -1
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endif
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!$OMP PARALLEL DO PRIVATE(k,j8)
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do k=1,rank
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do j8=1,ndim8
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L(j8,k) = L_old(j8,k)
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enddo
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enddo
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!$OMP END PARALLEL DO
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deallocate(L_old)
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allocate(Delta(np,nq), stat=ierr)
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!print *, 'allocate : Delta(np,nq)', memory_of_double8(np*nq*1_8)
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@ -280,39 +276,29 @@ END_PROVIDER
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!print *, 'N, rank, block_size', N, rank, block_size
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!print *, 'p1'
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!$OMP PARALLEL DEFAULT(SHARED) PRIVATE(k,p,q,j)
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!print *, 'computed'
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!$OMP DO
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!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(p,q,j)
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do q=1,nq
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computed(q) = .False.
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enddo
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!$OMP ENDDO NOWAIT
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!print *, 'Delta'
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!$OMP DO
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do q=1,nq
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do j=1,np
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Delta(j,q) = 0.d0
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enddo
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enddo
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!$OMP ENDDO NOWAIT
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!$OMP END PARALLEL DO
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!print *, 'Ltmp_p'
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!$OMP PARALLEL DEFAULT(SHARED) PRIVATE(k,p,q,j)
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do k=1,N
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!$OMP DO
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do p=1,np
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Ltmp_p(p,k) = L(Lset(p),k)
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Ltmp_p(p,k) = L(Lset(p),k)
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enddo
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!$OMP END DO NOWAIT
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!$OMP DO
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do q=1,nq
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Ltmp_q(q,k) = L(Dset(q),k)
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Ltmp_q(q,k) = L(Dset(q),k)
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enddo
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!$OMP END DO NOWAIT
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enddo
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!$OMP BARRIER
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!$OMP END PARALLEL
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@ -338,7 +324,7 @@ END_PROVIDER
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rank = N+j
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if (iblock == block_size) then
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!print *, 'dgemm'
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!print *, 'dgemm', np, nq
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call dgemm('N','T',np,nq,block_size,-1.d0, &
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Ltmp_p, np, Ltmp_q, nq, 1.d0, Delta, np)
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@ -401,7 +387,6 @@ END_PROVIDER
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! iii.
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f = 1.d0/dsqrt(Qmax)
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!print *, 'p4'
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!$OMP PARALLEL PRIVATE(p,q) DEFAULT(shared)
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!$OMP DO
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do p=1,np
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@ -441,30 +426,42 @@ END_PROVIDER
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Dmax = max(Dmax, D(Lset(p)))
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enddo
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np = npmax
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dscale = 1.d0
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dscale_tmp = Dmax
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do while (np == npmax)
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np=0
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mem = qp_max_mem+1
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do while ( (mem > qp_max_mem).and.(i8>1_8) )
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dscale = min(1.d0,dsqrt(tau2/(D_sorted(i8)*Dmax)))
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dscale_tmp = dscale*dscale*Dmax
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!print *, 'dscale = ', dscale, dble(i8)/dble(ndim8)
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np8=0_8
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do p8=1,ndim8
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if ( dscale_tmp*D(p8) > tau2 ) then
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np = np+1
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Lset(np) = p8
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if (np == npmax) then
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! Overflow detected
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dscale = dscale*0.5d0
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dscale_tmp = dscale*dscale*Dmax
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!print *, 'Overflow detected '
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!print *, 'dscale = ', dscale
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exit
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endif
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np8 = np8+1_8
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Lset(np8) = p8
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endif
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enddo
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i8 = i8*3_8/4_8
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if (np8 > huge(1_4)/64_8) cycle
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np = np8
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!print *, 'np = ', np
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call resident_memory(mem)
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mem = mem &
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+ 0.1d0*np*memory_of_double(np) ! Delta(np,nq)
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enddo
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if (np == 0) then
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call print_memory_usage()
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print *, 'Required peak memory: ', mem, 'Gb'
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call resident_memory(mem)
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print *, 'Already used memory: ', mem, 'Gb'
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print *, 'Not enough memory. Reduce cholesky threshold'
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stop -1
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endif
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enddo
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print *, '============ ============='
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print *, ''
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allocate(cholesky_ao(ao_num,ao_num,rank), stat=ierr)
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!print *, 'allocate : cholesky_ao(ao_num,ao_num,rank)', memory_of_double8(ao_num*ao_num*rank*1_8)
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@ -473,18 +470,19 @@ END_PROVIDER
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print *, irp_here, ': Allocation failed'
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stop -1
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endif
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!$OMP PARALLEL DO PRIVATE(k)
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!$OMP PARALLEL DO PRIVATE(k,j)
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do k=1,rank
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do j=1,ao_num
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cholesky_ao(1:ao_num,j,k) = L((j-1)*ao_num+1:j*ao_num,k)
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enddo
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enddo
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!$OMP END PARALLEL DO
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deallocate(L)
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cholesky_ao_num = rank
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print *, '============ ============='
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print *, ''
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call munmap( (/ ndim8, ndim8 /), 8, fd(1), c_pointer(1) )
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cholesky_ao_num = rank
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if (write_ao_cholesky) then
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print *, 'Writing Cholesky vectors to disk...'
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@ -460,8 +460,8 @@ BEGIN_PROVIDER [ double precision, ao_two_e_integral_schwartz, (ao_num, ao_num)
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!$OMP PARALLEL DO PRIVATE(i,k) &
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!$OMP DEFAULT(NONE) &
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!$OMP SHARED (ao_num,ao_two_e_integral_schwartz) &
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!$OMP SCHEDULE(guided)
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do i=1,ao_num
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!$OMP SCHEDULE(dynamic)
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do i=ao_num,1,-1
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do k=1,i
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ao_two_e_integral_schwartz(i,k) = dsqrt(ao_two_e_integral(i,i,k,k))
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ao_two_e_integral_schwartz(k,i) = ao_two_e_integral_schwartz(i,k)
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@ -47,11 +47,13 @@ integer function getUnitAndOpen(f,mode)
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endif
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open(unit=getUnitAndOpen,file=f,status='OLD',action='READ',form='UNFORMATTED')
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else if (mode.eq.'W') then
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open(unit=getUnitAndOpen,file=new_f,status='UNKNOWN',action='WRITE',form='UNFORMATTED')
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open(unit=getUnitAndOpen,file=new_f,status='UNKNOWN',action='READWRITE',form='UNFORMATTED')
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else if (mode.eq.'A') then
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open(unit=getUnitAndOpen,file=new_f,status='UNKNOWN',action='READWRITE',position='APPEND',form='UNFORMATTED')
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else if (mode.eq.'w') then
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open(unit=getUnitAndOpen,file=new_f,status='UNKNOWN',action='WRITE',form='FORMATTED')
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open(unit=getUnitAndOpen,file=new_f,status='UNKNOWN',action='READWRITE',form='FORMATTED')
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else if (mode.eq.'a') then
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open(unit=getUnitAndOpen,file=new_f,status='UNKNOWN',action='WRITE',position='APPEND',form='FORMATTED')
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open(unit=getUnitAndOpen,file=new_f,status='UNKNOWN',action='READWRITE',position='APPEND',form='FORMATTED')
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else if (mode.eq.'x') then
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open(unit=getUnitAndOpen,file=new_f,form='FORMATTED')
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endif
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