From f3f8433061b6a0170799bc4128bb46a7c14658d7 Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Wed, 23 Feb 2022 04:56:50 +0900 Subject: [PATCH 01/45] Temporary implementation of 2nd-order finite-difference --- src/kmesh.F90 | 313 ++++++++++++++++++++++++++++++++++++++-------- src/readwrite.F90 | 4 + src/types.F90 | 5 + 3 files changed, 273 insertions(+), 49 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 04f247e75..51f77ca32 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -27,7 +27,8 @@ module w90_kmesh !! Vanderbilt PRB 56 12847 (1997) use w90_constants, only: dp - use w90_types, only: max_shells, num_nnmax ! JJ these are parameters used for dimensioning + use w90_types, only: max_shells, num_nnmax, &! JJ these are parameters used for dimensioning + max_shells_2, num_nnmax_2 implicit none @@ -84,13 +85,20 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti real(kind=dp), parameter :: eta = 99999999.0_dp ! eta = very large real(kind=dp), allocatable :: bvec_tmp(:, :) real(kind=dp), allocatable :: kpt_cart(:, :) - real(kind=dp) :: bk_local(3, num_nnmax, num_kpts) !, kpbvec(3) + !real(kind=dp) :: bk_local(3, num_nnmax, num_kpts) !, kpbvec(3) real(kind=dp) :: bweight(max_shells) real(kind=dp) :: dist, dnn0, dnn1, bb1, bbn, ddelta real(kind=dp) :: dnn(kmesh_input%search_shells) real(kind=dp) :: recip_lattice(3, 3), volume real(kind=dp) :: vkpp(3), vkpp2(3) - real(kind=dp) :: wb_local(num_nnmax) + !real(kind=dp) :: wb_local(num_nnmax) + + ! higher-order finite-difference + real(kind=dp) :: wbb + real(kind=dp) :: wb_local(num_nnmax_2) + real(kind=dp) :: bk_local(3, num_nnmax_2, num_kpts) + integer :: cartesian_component(2*kmesh_input%finite_diff_order) + integer :: j_minus_1 integer, allocatable :: nnlist_tmp(:, :), nncell_tmp(:, :, :) ![ysl] integer :: ifound, counter, na, nap, loop_s, loop_b, shell !, nbvec, bnum @@ -230,9 +238,11 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti kmesh_info%nntot = kmesh_info%nntot + multi(kmesh_input%shell_list(loop_s)) end do - if (kmesh_info%nntot > num_nnmax) then + !if (kmesh_info%nntot > num_nnmax) then + if (kmesh_info%nntot > num_nnmax_2) then if (print_output%iprint > 0) then - write (stdout, '(a,i2,a)') ' **WARNING: kmesh has found >', num_nnmax, ' nearest neighbours**' + !write (stdout, '(a,i2,a)') ' **WARNING: kmesh has found >', num_nnmax, ' nearest neighbours**' + write (stdout, '(a,i2,a)') ' **WARNING: kmesh has found >', num_nnmax_2, ' nearest neighbours**' write (stdout, '(a)') ' ' write (stdout, '(a)') ' This is probably caused by an error in your unit cell specification' write (stdout, '(a)') ' ' @@ -411,27 +421,74 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! We know it is true for kpt=1; but we check the rest to be safe. ! Eq. B1 in Appendix B PRB 56 12847 (1997) - if (.not. kmesh_input%skip_B1_tests) then + !if (.not. kmesh_input%skip_B1_tests) then + ! do nkp = 1, num_kpts + ! do i = 1, 3 + ! do j = 1, 3 + ! ddelta = 0.0_dp + ! nnx = 0 + ! do ndnnx = 1, kmesh_input%num_shells + ! ndnn = kmesh_input%shell_list(ndnnx) + ! do nnsh = 1, nnshell(1, ndnn) + ! nnx = nnx + 1 + ! ddelta = ddelta + wb_local(nnx)*bk_local(i, nnx, nkp)*bk_local(j, nnx, nkp) + ! enddo + ! enddo + ! if ((i .eq. j) .and. (abs(ddelta - 1.0_dp) .gt. kmesh_input%tol)) then + ! if (print_output%iprint > 0) write (stdout, '(1x,2i3,f12.8)') i, j, ddelta + ! call io_error('Eq. (B1) not satisfied in kmesh_get (1)', stdout, seedname) + ! endif + ! if ((i .ne. j) .and. (abs(ddelta) .gt. kmesh_input%tol)) then + ! if (print_output%iprint > 0) write (stdout, '(1x,2i3,f12.8)') i, j, ddelta + ! call io_error('Eq. (B1) not satisfied in kmesh_get (2)', stdout, seedname) + ! endif + ! enddo + ! enddo + ! enddo + !end if + + if (.not. kmesh_input%skip_B1_tests) then !To do: 3**(2i) loops -> 3 H 2i loops do nkp = 1, num_kpts - do i = 1, 3 - do j = 1, 3 + do i = 1, kmesh_input%finite_diff_order + do j = 1, 3**(2*i) + ! separate 2*i cartesian components. e.g. j_minus_1 = 66 = 0+3*1+9*1+27*2 -> xyyz -> 1223 + j_minus_1 = j - 1 + do l = 1, 2*i + cartesian_component(l) = mod(j_minus_1, 3) + 1 !remainder, 1, 2, 3 + j_minus_1 = j/3 !quotient + enddo ddelta = 0.0_dp nnx = 0 do ndnnx = 1, kmesh_input%num_shells ndnn = kmesh_input%shell_list(ndnnx) do nnsh = 1, nnshell(1, ndnn) nnx = nnx + 1 - ddelta = ddelta + wb_local(nnx)*bk_local(i, nnx, nkp)*bk_local(j, nnx, nkp) + wbb = wb_local(nnx) + do l = 1, 2*i + wbb = wbb*bk_local(cartesian_component(l), nnx, nkp) + enddo + ddelta = ddelta + wbb enddo enddo - if ((i .eq. j) .and. (abs(ddelta - 1.0_dp) .gt. kmesh_input%tol)) then - if (print_output%iprint > 0) write (stdout, '(1x,2i3,f12.8)') i, j, ddelta - call io_error('Eq. (B1) not satisfied in kmesh_get (1)', stdout, seedname) - endif - if ((i .ne. j) .and. (abs(ddelta) .gt. kmesh_input%tol)) then - if (print_output%iprint > 0) write (stdout, '(1x,2i3,f12.8)') i, j, ddelta - call io_error('Eq. (B1) not satisfied in kmesh_get (2)', stdout, seedname) - endif + if (i .eq. 1) then !first order + if ((cartesian_component(1) .eq. cartesian_component(2)) & + .and. (abs(ddelta - 1.0_dp) .gt. kmesh_input%tol)) then + if (print_output%iprint > 0) write (stdout, '(1x,2i3,f12.8)') cartesian_component(1), & + cartesian_component(2), ddelta + call io_error('Eq. (B1) not satisfied in kmesh_get (1)', stdout, seedname) + endif + if ((cartesian_component(1) .ne. cartesian_component(2)) & + .and. (abs(ddelta) .gt. kmesh_input%tol)) then + if (print_output%iprint > 0) write (stdout, '(1x,2i3,f12.8)') cartesian_component(1), & + cartesian_component(2), ddelta + call io_error('Eq. (B1) not satisfied in kmesh_get (2)', stdout, seedname) + endif + else ! higher order + if ((abs(ddelta) .gt. kmesh_input%tol)) then + if (print_output%iprint > 0) write (stdout, '(1x,i3,f12.8)') cartesian_component, ddelta + call io_error('Eq. for higher-order not satisfied in kmesh_get (3)', stdout, seedname) + endif + end if enddo enddo enddo @@ -439,6 +496,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti if (print_output%iprint > 0) then write (stdout, '(1x,a)') '| Completeness relation is fully satisfied [Eq. (B1), PRB 56, 12847 (1997)] |' + write (stdout, '(1x,a)') '| Completeness relations for higher-order are fully satisfied |' write (stdout, '(1x,"+",76("-"),"+")') endif @@ -1037,6 +1095,17 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca integer :: loop, shell + ! variables for higher-order finite-difference + real(kind=dp), dimension(:), allocatable :: singv2, tmp21, tmp22, tmp23 + real(kind=dp), dimension(:, :), allocatable :: amat2, umat2, vmat2, smat2, tmp20 + integer :: aa(15), bb(15), cc(15) + real(kind=dp) :: delta2 + logical :: b2sat + real(kind=dp), parameter :: target2(21) = (/1.0_dp, 1.0_dp, 1.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, & + 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, & + 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, & + 0.0_dp, 0.0_dp, 0.0_dp/) + if (print_output%timing_level > 1) call io_stopwatch('kmesh: shell_automatic', 1, stdout, seedname) allocate (bvector(3, maxval(multi), max_shells), stat=ierr) @@ -1089,25 +1158,45 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca kmesh_input%num_shells = kmesh_input%num_shells + 1 kmesh_input%shell_list(kmesh_input%num_shells) = shell - allocate (tmp0(max_shells, max_shells), stat=ierr) + !allocate (tmp0(max_shells, max_shells), stat=ierr) + !if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) + !allocate (tmp1(max_shells), stat=ierr) + !if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) + !allocate (tmp2(kmesh_input%num_shells), stat=ierr) + !if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) + !allocate (tmp3(kmesh_input%num_shells), stat=ierr) + !if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) + allocate (amat(max_shells, kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (tmp1(max_shells), stat=ierr) + !allocate (umat(max_shells, max_shells), stat=ierr) + !if (ierr /= 0) call io_error('Error allocating umat in kmesh_shell_automatic', stdout, seedname) + !allocate (vmat(kmesh_input%num_shells, kmesh_input%num_shells), stat=ierr) + !if (ierr /= 0) call io_error('Error allocating vmat in kmesh_shell_automatic', stdout, seedname) + !allocate (smat(kmesh_input%num_shells, max_shells), stat=ierr) + !if (ierr /= 0) call io_error('Error allocating smat in kmesh_shell_automatic', stdout, seedname) + !allocate (singv(kmesh_input%num_shells), stat=ierr) + !if (ierr /= 0) call io_error('Error allocating singv in kmesh_shell_automatic', stdout, seedname) + amat(:, :) = 0.0_dp!; umat(:, :) = 0.0_dp; vmat(:, :) = 0.0_dp; smat(:, :) = 0.0_dp; singv(:) = 0.0_dp + + allocate (tmp20(max_shells_2, max_shells_2), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (tmp2(kmesh_input%num_shells), stat=ierr) + allocate (tmp21(max_shells_2), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (tmp3(kmesh_input%num_shells), stat=ierr) + allocate (tmp22(kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (amat(max_shells, kmesh_input%num_shells), stat=ierr) + allocate (tmp23(kmesh_input%num_shells), stat=ierr) + if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) + allocate (amat2(max_shells_2, kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (umat(max_shells, max_shells), stat=ierr) + allocate (umat2(max_shells_2, max_shells_2), stat=ierr) if (ierr /= 0) call io_error('Error allocating umat in kmesh_shell_automatic', stdout, seedname) - allocate (vmat(kmesh_input%num_shells, kmesh_input%num_shells), stat=ierr) + allocate (vmat2(kmesh_input%num_shells, kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating vmat in kmesh_shell_automatic', stdout, seedname) - allocate (smat(kmesh_input%num_shells, max_shells), stat=ierr) + allocate (smat2(kmesh_input%num_shells, max_shells_2), stat=ierr) if (ierr /= 0) call io_error('Error allocating smat in kmesh_shell_automatic', stdout, seedname) - allocate (singv(kmesh_input%num_shells), stat=ierr) + allocate (singv2(kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating singv in kmesh_shell_automatic', stdout, seedname) - amat(:, :) = 0.0_dp; umat(:, :) = 0.0_dp; vmat(:, :) = 0.0_dp; smat(:, :) = 0.0_dp; singv(:) = 0.0_dp + amat2(:, :) = 0.0_dp; umat2(:, :) = 0.0_dp; vmat2(:, :) = 0.0_dp; smat2(:, :) = 0.0_dp; singv2(:) = 0.0_dp amat = 0.0_dp do loop_s = 1, kmesh_input%num_shells @@ -1121,9 +1210,62 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca end do end do + !find higher finite-diff weights + if (kmesh_input%finite_diff_order .gt. 1) then + amat2 = 0.0_dp + do loop_s = 1, kmesh_input%num_shells + do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) + amat2(1:6, loop_s) = amat(:, loop_s) + do loop_i = 1, 15 + do loop_j = 0, 4 + if (loop_j*(11 - loop_j)/2 <= loop_i - 1 .and. (loop_j + 1)*(10 - loop_j)/2 > loop_i - 1) then + cc(loop_i) = loop_j + exit + endif + enddo + bb(loop_i) = loop_i - 1 - cc(loop_i)*(11 - cc(loop_i))/2 + aa(loop_i) = 4 - bb(loop_i) - cc(loop_i) + amat2(6 + loop_i, loop_s) = amat2(6 + loop_i, loop_s) + (bvector(1, loop_b, loop_s)**aa(loop_i)) & + *(bvector(2, loop_b, loop_s)**bb(loop_i))*(bvector(3, loop_b, loop_s)**cc(loop_i)) + enddo + enddo + enddo + endif + info = 0 - call dgesvd('A', 'A', max_shells, kmesh_input%num_shells, amat, max_shells, singv, umat, & - max_shells, vmat, kmesh_input%num_shells, work, lwork, info) + !call dgesvd('A', 'A', max_shells, kmesh_input%num_shells, amat, max_shells, singv, umat, & + ! max_shells, vmat, kmesh_input%num_shells, work, lwork, info) + !if (info < 0) then + ! if (print_output%iprint > 0) then + ! write (stdout, '(1x,a,1x,I1,1x,a)') 'kmesh_shell_automatic: Argument', abs(info), & + ! 'of dgesvd is incorrect' + ! endif + ! call io_error('kmesh_shell_automatic: Problem with Singular Value Decomposition', stdout, seedname) + !else if (info > 0) then + ! call io_error('kmesh_shell_automatic: Singular Value Decomposition did not converge', stdout, seedname) + !end if +! + !if (any(abs(singv) < eps5)) then + ! if (kmesh_input%num_shells == 1) then + ! call io_error('kmesh_shell_automatic: Singular Value Decomposition has found a very small singular value', & + ! stdout, seedname) + ! else + ! if (print_output%iprint > 0) then + ! write (stdout, '(1x,a)') '| SVD found small singular value, Rejecting this shell and trying the next |' + ! endif + ! b1sat = .false. + ! kmesh_input%num_shells = kmesh_input%num_shells - 1 + ! goto 200 + ! end if + !end if +! + !smat = 0.0_dp + !do loop_s = 1, kmesh_input%num_shells + ! smat(loop_s, loop_s) = 1.0_dp/singv(loop_s) + !end do + + call dgesvd('A', 'A', max_shells_2, kmesh_input%num_shells, amat2, max_shells_2, singv2, umat2, & + max_shells_2, vmat2, kmesh_input%num_shells, work, lwork, info) if (info < 0) then if (print_output%iprint > 0) then write (stdout, '(1x,a,1x,I1,1x,a)') 'kmesh_shell_automatic: Argument', abs(info), & @@ -1134,7 +1276,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca call io_error('kmesh_shell_automatic: Singular Value Decomposition did not converge', stdout, seedname) end if - if (any(abs(singv) < eps5)) then + if (any(abs(singv2) < eps5)) then if (kmesh_input%num_shells == 1) then call io_error('kmesh_shell_automatic: Singular Value Decomposition has found a very small singular value', & stdout, seedname) @@ -1142,24 +1284,30 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca if (print_output%iprint > 0) then write (stdout, '(1x,a)') '| SVD found small singular value, Rejecting this shell and trying the next |' endif - b1sat = .false. + b2sat = .false. kmesh_input%num_shells = kmesh_input%num_shells - 1 goto 200 end if end if - smat = 0.0_dp + smat2 = 0.0_dp do loop_s = 1, kmesh_input%num_shells - smat(loop_s, loop_s) = 1.0_dp/singv(loop_s) + smat2(loop_s, loop_s) = 1.0_dp/singv2(loop_s) end do ! S. Ponce: The following below is correct but had to be unpacked because of PGI-15 ! bweight(1:num_shells)=matmul(transpose(vmat),matmul(smat,matmul(transpose(umat),target))) - tmp0 = transpose(umat) - tmp1 = matmul(tmp0, target) - tmp2 = matmul(smat, tmp1) - tmp3 = matmul(transpose(vmat), tmp2) - bweight(1:kmesh_input%num_shells) = tmp3 + !tmp0 = transpose(umat) + !tmp1 = matmul(tmp0, target) + !tmp2 = matmul(smat, tmp1) + !tmp3 = matmul(transpose(vmat), tmp2) + !bweight(1:kmesh_input%num_shells) = tmp3 + + tmp20 = transpose(umat2) + tmp21 = matmul(tmp20, target2) + tmp22 = matmul(smat2, tmp21) + tmp23 = matmul(transpose(vmat2), tmp22) + bweight(1:kmesh_input%num_shells) = tmp23 if (print_output%iprint >= 2) then do loop_s = 1, kmesh_input%num_shells @@ -1208,34 +1356,101 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca end if end if + !check higher-order version of b1 + b2sat = .true. + do loop_i = 1, 15 + delta2 = 0.0_dp + do loop_s = 1, kmesh_input%num_shells + do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) + delta2 = delta2 + bweight(loop_s)*(bvector(1, loop_b, loop_s)**aa(loop_i)) & + *(bvector(2, loop_b, loop_s)**bb(loop_i))*(bvector(3, loop_b, loop_s)**cc(loop_i)) + end do + end do + if (abs(delta2) > kmesh_input%tol) b2sat = .false. + end do + + if (.not. b2sat) then + if (shell < kmesh_input%search_shells .and. print_output%iprint >= 3) then + if (print_output%iprint > 0) write (stdout, '(1x,a,24x,a1)') & + '| higher-order version of B1 condition is not satisfied: Adding another shell', '|' + + elseif (shell == kmesh_input%search_shells) then + + if (print_output%iprint > 0) then + write (stdout, *) ' ' + write (stdout, '(1x,a,i3,a)') 'Unable to satisfy the higher-order version of B1 with any of the first ' & + , kmesh_input%search_shells, ' shells' + write (stdout, '(1x,a)') 'Check that you have specified your unit cell to a high precision' + write (stdout, '(1x,a)') 'Low precision might cause a loss of symmetry.' + write (stdout, '(1x,a)') ' ' + write (stdout, '(1x,a)') 'If your cell is very long, or you have an irregular MP grid' + write (stdout, '(1x,a)') 'Try increasing the parameter search_shells in the win file (default=30)' + write (stdout, *) ' ' + call io_error('kmesh_get_automatic', stdout, seedname) + end if + + end if + end if + 200 continue - deallocate (tmp0, stat=ierr) + !deallocate (tmp0, stat=ierr) + !if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) + !deallocate (tmp1, stat=ierr) + !if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) + !deallocate (tmp2, stat=ierr) + !if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) + !deallocate (tmp3, stat=ierr) + !if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) + deallocate (amat, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (tmp1, stat=ierr) + !deallocate (umat, stat=ierr) + !if (ierr /= 0) call io_error('Error deallocating umat in kmesh_shell_automatic', stdout, seedname) + !deallocate (vmat, stat=ierr) + !if (ierr /= 0) call io_error('Error deallocating vmat in kmesh_shell_automatic', stdout, seedname) + !deallocate (smat, stat=ierr) + !if (ierr /= 0) call io_error('Error deallocating smat in kmesh_shell_automatic', stdout, seedname) + !deallocate (singv, stat=ierr) + !if (ierr /= 0) call io_error('Error deallocating singv in kmesh_shell_automatic', stdout, seedname) + + deallocate (tmp20, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (tmp2, stat=ierr) + deallocate (tmp21, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (tmp3, stat=ierr) + deallocate (tmp22, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (amat, stat=ierr) + deallocate (tmp23, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (umat, stat=ierr) + deallocate (amat2, stat=ierr) + if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) + deallocate (umat2, stat=ierr) if (ierr /= 0) call io_error('Error deallocating umat in kmesh_shell_automatic', stdout, seedname) - deallocate (vmat, stat=ierr) + deallocate (vmat2, stat=ierr) if (ierr /= 0) call io_error('Error deallocating vmat in kmesh_shell_automatic', stdout, seedname) - deallocate (smat, stat=ierr) + deallocate (smat2, stat=ierr) if (ierr /= 0) call io_error('Error deallocating smat in kmesh_shell_automatic', stdout, seedname) - deallocate (singv, stat=ierr) + deallocate (singv2, stat=ierr) if (ierr /= 0) call io_error('Error deallocating singv in kmesh_shell_automatic', stdout, seedname) - if (b1sat) exit + if (b1sat .and. b2sat) exit end do if (.not. b1sat) then if (print_output%iprint > 0) then write (stdout, *) ' ' - write (stdout, '(1x,a,i3,a)') 'Unable to satisfy B1 with any of the first ', kmesh_input%search_shells, ' shells' + write (stdout, '(1x,a,i3,a)') 'Unable to satisfy B1 with any of the first ', & + kmesh_input%search_shells, ' shells' + write (stdout, '(1x,a)') 'Your cell might be very long, or you may have an irregular MP grid' + write (stdout, '(1x,a)') 'Try increasing the parameter search_shells in the win file (default=12)' + write (stdout, *) ' ' + end if + call io_error('kmesh_get_automatic', stdout, seedname) + end if + if (.not. b2sat) then + if (print_output%iprint > 0) then + write (stdout, *) ' ' + write (stdout, '(1x,a,i3,a)') 'Unable to satisfy higher-order version of B1 with any of the first ', & + kmesh_input%search_shells, ' shells' write (stdout, '(1x,a)') 'Your cell might be very long, or you may have an irregular MP grid' write (stdout, '(1x,a)') 'Try increasing the parameter search_shells in the win file (default=12)' write (stdout, *) ' ' diff --git a/src/readwrite.F90 b/src/readwrite.F90 index 496e48fd8..8d1f40947 100644 --- a/src/readwrite.F90 +++ b/src/readwrite.F90 @@ -570,6 +570,10 @@ subroutine w90_readwrite_read_kmesh_data(kmesh_input, stdout, seedname) call w90_readwrite_get_keyword(stdout, seedname, 'search_shells', found, i_value=kmesh_input%search_shells) if (kmesh_input%search_shells < 0) call io_error('Error: search_shells must be positive', stdout, seedname) + kmesh_input%finite_diff_order = 2 + call w90_readwrite_get_keyword(stdout, seedname, 'finite_diff_order', found, i_value=kmesh_input%finite_diff_order) + if (kmesh_input%finite_diff_order < 0) call io_error('Error: finite_diff_order must be positive', stdout, seedname) + kmesh_input%tol = 0.000001_dp call w90_readwrite_get_keyword(stdout, seedname, 'kmesh_tol', found, r_value=kmesh_input%tol) if (kmesh_input%tol < 0.0_dp) call io_error('Error: kmesh_tol must be positive', stdout, seedname) diff --git a/src/types.F90 b/src/types.F90 index db76cf8f0..78a3828df 100644 --- a/src/types.F90 +++ b/src/types.F90 @@ -100,6 +100,9 @@ module w90_types ! The maximum number of shells we need to satisfy B1 condition in kmesh integer, parameter :: max_shells = 6 integer, parameter :: num_nnmax = 12 + ! The higher-order analogy of B1 condition + integer, parameter :: max_shells_2 = 21 + integer, parameter :: num_nnmax_2 = 42 type kmesh_input_type !!================================================== @@ -107,6 +110,8 @@ module w90_types !!================================================== integer :: num_shells !! no longer an input keyword + integer :: finite_diff_order + !! Higher-order of finite-difference formulas logical :: skip_B1_tests !! do not check the B1 condition integer, allocatable :: shell_list(:) From a4258d462c5d1cf7553ccb2d93e74be3c19bb6ba Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Wed, 2 Mar 2022 17:37:49 +0900 Subject: [PATCH 02/45] Higher-order finite-difference b-vector generation --- src/kmesh.F90 | 449 +++++++++++++++++++++++----------------------- src/readwrite.F90 | 10 +- src/types.F90 | 5 +- 3 files changed, 236 insertions(+), 228 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 51f77ca32..d4101ea1f 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -27,8 +27,7 @@ module w90_kmesh !! Vanderbilt PRB 56 12847 (1997) use w90_constants, only: dp - use w90_types, only: max_shells, num_nnmax, &! JJ these are parameters used for dimensioning - max_shells_2, num_nnmax_2 + use w90_types, only: max_shells, num_nnmax ! JJ these are parameters used for dimensioning implicit none @@ -86,7 +85,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti real(kind=dp), allocatable :: bvec_tmp(:, :) real(kind=dp), allocatable :: kpt_cart(:, :) !real(kind=dp) :: bk_local(3, num_nnmax, num_kpts) !, kpbvec(3) - real(kind=dp) :: bweight(max_shells) + !real(kind=dp) :: bweight(max_shells) real(kind=dp) :: dist, dnn0, dnn1, bb1, bbn, ddelta real(kind=dp) :: dnn(kmesh_input%search_shells) real(kind=dp) :: recip_lattice(3, 3), volume @@ -94,11 +93,12 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti !real(kind=dp) :: wb_local(num_nnmax) ! higher-order finite-difference - real(kind=dp) :: wbb - real(kind=dp) :: wb_local(num_nnmax_2) - real(kind=dp) :: bk_local(3, num_nnmax_2, num_kpts) - integer :: cartesian_component(2*kmesh_input%finite_diff_order) - integer :: j_minus_1 + real(kind=dp) :: bweight(kmesh_input%max_shells_h) + real(kind=dp) :: wb_local(kmesh_input%num_nnmax_h) + real(kind=dp) :: bk_local(3, kmesh_input%num_nnmax_h, num_kpts) + integer :: aaa((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) + integer :: bbb((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) + integer :: ccc((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) integer, allocatable :: nnlist_tmp(:, :), nncell_tmp(:, :, :) ![ysl] integer :: ifound, counter, na, nap, loop_s, loop_b, shell !, nbvec, bnum @@ -239,10 +239,10 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti end do !if (kmesh_info%nntot > num_nnmax) then - if (kmesh_info%nntot > num_nnmax_2) then + if (kmesh_info%nntot > kmesh_input%num_nnmax_h) then if (print_output%iprint > 0) then !write (stdout, '(a,i2,a)') ' **WARNING: kmesh has found >', num_nnmax, ' nearest neighbours**' - write (stdout, '(a,i2,a)') ' **WARNING: kmesh has found >', num_nnmax_2, ' nearest neighbours**' + write (stdout, '(a,i2,a)') ' **WARNING: kmesh has found >', kmesh_input%num_nnmax_h, ' nearest neighbours**' write (stdout, '(a)') ' ' write (stdout, '(a)') ' This is probably caused by an error in your unit cell specification' write (stdout, '(a)') ' ' @@ -447,47 +447,40 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! enddo !end if - if (.not. kmesh_input%skip_B1_tests) then !To do: 3**(2i) loops -> 3 H 2i loops + if (.not. kmesh_input%skip_B1_tests) then do nkp = 1, num_kpts do i = 1, kmesh_input%finite_diff_order - do j = 1, 3**(2*i) - ! separate 2*i cartesian components. e.g. j_minus_1 = 66 = 0+3*1+9*1+27*2 -> xyyz -> 1223 - j_minus_1 = j - 1 - do l = 1, 2*i - cartesian_component(l) = mod(j_minus_1, 3) + 1 !remainder, 1, 2, 3 - j_minus_1 = j/3 !quotient + do j = 1, (1 + i)*(1 + 2*i) + ! separate cartesian components + do l = 0, 2*i + if ((2*i + 1)*l - l*(l - 1)/2 <= j - 1 & + .and. (2*i + 1)*(l + 1) - (l + 1)*l/2 > j - 1) then + ccc(j) = l + exit + endif enddo + bbb(j) = j - 1 - ((2*i + 1)*ccc(j) - ccc(j)*(ccc(j) - 1)/2) + aaa(j) = 2*i - bbb(j) - ccc(j) ddelta = 0.0_dp nnx = 0 do ndnnx = 1, kmesh_input%num_shells ndnn = kmesh_input%shell_list(ndnnx) do nnsh = 1, nnshell(1, ndnn) nnx = nnx + 1 - wbb = wb_local(nnx) - do l = 1, 2*i - wbb = wbb*bk_local(cartesian_component(l), nnx, nkp) - enddo - ddelta = ddelta + wbb + ddelta = ddelta + wb_local(nnx)*(bk_local(1, nnx, nkp)**aaa(j)) & + *(bk_local(2, nnx, nkp)**bbb(j))*(bk_local(3, nnx, nkp)**ccc(j)) enddo enddo - if (i .eq. 1) then !first order - if ((cartesian_component(1) .eq. cartesian_component(2)) & - .and. (abs(ddelta - 1.0_dp) .gt. kmesh_input%tol)) then - if (print_output%iprint > 0) write (stdout, '(1x,2i3,f12.8)') cartesian_component(1), & - cartesian_component(2), ddelta + if (i .eq. 1 .and. (j .eq. 1 .or. j .eq. 3 .or. j .eq. 6)) then + if (abs(ddelta - 1.0_dp) .gt. kmesh_input%tol) then + if (print_output%iprint > 0) write (stdout, '(1x,3i3,f12.8)') aaa(j), bbb(j), ccc(j), ddelta call io_error('Eq. (B1) not satisfied in kmesh_get (1)', stdout, seedname) endif - if ((cartesian_component(1) .ne. cartesian_component(2)) & - .and. (abs(ddelta) .gt. kmesh_input%tol)) then - if (print_output%iprint > 0) write (stdout, '(1x,2i3,f12.8)') cartesian_component(1), & - cartesian_component(2), ddelta + else + if (abs(ddelta) .gt. kmesh_input%tol) then + if (print_output%iprint > 0) write (stdout, '(1x,3i3,f12.8)') aaa(j), bbb(j), ccc(j), ddelta call io_error('Eq. (B1) not satisfied in kmesh_get (2)', stdout, seedname) endif - else ! higher order - if ((abs(ddelta) .gt. kmesh_input%tol)) then - if (print_output%iprint > 0) write (stdout, '(1x,i3,f12.8)') cartesian_component, ddelta - call io_error('Eq. for higher-order not satisfied in kmesh_get (3)', stdout, seedname) - endif end if enddo enddo @@ -1077,7 +1070,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca real(kind=dp), intent(in) :: recip_lattice(3, 3) real(kind=dp), intent(in) ::kpt_cart(:, :) real(kind=dp), intent(in) :: dnn(kmesh_input%search_shells) ! the bvectors - real(kind=dp), intent(out) :: bweight(max_shells) + real(kind=dp), intent(out) :: bweight(kmesh_input%max_shells_h) character(len=50), intent(in) :: seedname @@ -1086,8 +1079,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca real(kind=dp), dimension(:), allocatable :: singv, tmp1, tmp2, tmp3 real(kind=dp), dimension(:, :), allocatable :: amat, umat, vmat, smat, tmp0 - integer, parameter :: lwork = max_shells*10 - real(kind=dp) :: work(lwork) + real(kind=dp) :: work((kmesh_input%max_shells_h)*10) real(kind=dp), parameter :: target(6) = (/1.0_dp, 1.0_dp, 1.0_dp, 0.0_dp, 0.0_dp, 0.0_dp/) logical :: b1sat, lpar integer :: loop_i, loop_j, loop_bn, loop_b, loop_s, info, cur_shell, ierr @@ -1096,19 +1088,19 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca integer :: loop, shell ! variables for higher-order finite-difference - real(kind=dp), dimension(:), allocatable :: singv2, tmp21, tmp22, tmp23 - real(kind=dp), dimension(:, :), allocatable :: amat2, umat2, vmat2, smat2, tmp20 - integer :: aa(15), bb(15), cc(15) - real(kind=dp) :: delta2 - logical :: b2sat - real(kind=dp), parameter :: target2(21) = (/1.0_dp, 1.0_dp, 1.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, & - 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, & - 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, 0.0_dp, & - 0.0_dp, 0.0_dp, 0.0_dp/) + real(kind=dp), dimension(:), allocatable :: singvh, tmph1, tmph2, tmph3 + real(kind=dp), dimension(:, :), allocatable :: amath, umath, vmath, smath, tmph0 + integer, dimension(:, :), allocatable :: aaa, bbb, ccc + real(kind=dp) :: deltah + logical :: bsat + real(kind=dp) :: targeth(kmesh_input%max_shells_h) + integer :: loop_n, num_of_eqs, num_of_eqs_prev + + targeth = 0.0_dp; targeth(1) = 1.0_dp; targeth(3) = 1.0_dp; targeth(6) = 1.0_dp if (print_output%timing_level > 1) call io_stopwatch('kmesh: shell_automatic', 1, stdout, seedname) - allocate (bvector(3, maxval(multi), max_shells), stat=ierr) + allocate (bvector(3, maxval(multi), kmesh_input%max_shells_h), stat=ierr) if (ierr /= 0) call io_error('Error allocating bvector in kmesh_shell_automatic', stdout, seedname) bvector = 0.0_dp; bweight = 0.0_dp @@ -1116,7 +1108,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca write (stdout, '(1x,a)') '| The b-vectors are chosen automatically |' endif - b1sat = .false. + bsat = .false. do shell = 1, kmesh_input%search_shells cur_shell = kmesh_input%num_shells + 1 @@ -1134,103 +1126,120 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca end if ! We check that the new shell is not parrallel to an existing shell (cosine=1) - lpar = .false. - if (kmesh_input%num_shells > 0) then - do loop_bn = 1, multi(shell) - do loop_s = 1, kmesh_input%num_shells - do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - delta = dot_product(bvector(:, loop_bn, cur_shell), bvector(:, loop_b, loop_s))/ & - sqrt(dot_product(bvector(:, loop_bn, cur_shell), bvector(:, loop_bn, cur_shell))* & - dot_product(bvector(:, loop_b, loop_s), bvector(:, loop_b, loop_s))) - if (abs(abs(delta) - 1.0_dp) < eps6) lpar = .true. + if (kmesh_input%finite_diff_order == 1) then + lpar = .false. + if (kmesh_input%num_shells > 0) then + do loop_bn = 1, multi(shell) + do loop_s = 1, kmesh_input%num_shells + do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) + delta = dot_product(bvector(:, loop_bn, cur_shell), bvector(:, loop_b, loop_s))/ & + sqrt(dot_product(bvector(:, loop_bn, cur_shell), bvector(:, loop_bn, cur_shell))* & + dot_product(bvector(:, loop_b, loop_s), bvector(:, loop_b, loop_s))) + if (abs(abs(delta) - 1.0_dp) < eps6) lpar = .true. + end do end do end do - end do - end if + end if - if (lpar) then - if (print_output%iprint >= 3) then - write (stdout, '(1x,a)') '| This shell is linearly dependent on existing shells: Trying next shell |' + if (lpar) then + if (print_output%iprint >= 3) then + write (stdout, '(1x,a)') '| This shell is linearly dependent on existing shells: Trying next shell |' + end if + cycle end if - cycle end if kmesh_input%num_shells = kmesh_input%num_shells + 1 kmesh_input%shell_list(kmesh_input%num_shells) = shell - !allocate (tmp0(max_shells, max_shells), stat=ierr) - !if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - !allocate (tmp1(max_shells), stat=ierr) - !if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - !allocate (tmp2(kmesh_input%num_shells), stat=ierr) - !if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - !allocate (tmp3(kmesh_input%num_shells), stat=ierr) - !if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (amat(max_shells, kmesh_input%num_shells), stat=ierr) - if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - !allocate (umat(max_shells, max_shells), stat=ierr) - !if (ierr /= 0) call io_error('Error allocating umat in kmesh_shell_automatic', stdout, seedname) - !allocate (vmat(kmesh_input%num_shells, kmesh_input%num_shells), stat=ierr) - !if (ierr /= 0) call io_error('Error allocating vmat in kmesh_shell_automatic', stdout, seedname) - !allocate (smat(kmesh_input%num_shells, max_shells), stat=ierr) - !if (ierr /= 0) call io_error('Error allocating smat in kmesh_shell_automatic', stdout, seedname) - !allocate (singv(kmesh_input%num_shells), stat=ierr) - !if (ierr /= 0) call io_error('Error allocating singv in kmesh_shell_automatic', stdout, seedname) - amat(:, :) = 0.0_dp!; umat(:, :) = 0.0_dp; vmat(:, :) = 0.0_dp; smat(:, :) = 0.0_dp; singv(:) = 0.0_dp - - allocate (tmp20(max_shells_2, max_shells_2), stat=ierr) + allocate (tmph0(kmesh_input%max_shells_h, kmesh_input%max_shells_h), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (tmp21(max_shells_2), stat=ierr) + allocate (tmph1(kmesh_input%max_shells_h), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (tmp22(kmesh_input%num_shells), stat=ierr) + allocate (tmph2(kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (tmp23(kmesh_input%num_shells), stat=ierr) + allocate (tmph3(kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (amat2(max_shells_2, kmesh_input%num_shells), stat=ierr) + allocate (amath(kmesh_input%max_shells_h, kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (umat2(max_shells_2, max_shells_2), stat=ierr) + allocate (umath(kmesh_input%max_shells_h, kmesh_input%max_shells_h), stat=ierr) if (ierr /= 0) call io_error('Error allocating umat in kmesh_shell_automatic', stdout, seedname) - allocate (vmat2(kmesh_input%num_shells, kmesh_input%num_shells), stat=ierr) + allocate (vmath(kmesh_input%num_shells, kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating vmat in kmesh_shell_automatic', stdout, seedname) - allocate (smat2(kmesh_input%num_shells, max_shells_2), stat=ierr) + allocate (smath(kmesh_input%num_shells, kmesh_input%max_shells_h), stat=ierr) if (ierr /= 0) call io_error('Error allocating smat in kmesh_shell_automatic', stdout, seedname) - allocate (singv2(kmesh_input%num_shells), stat=ierr) + allocate (singvh(kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating singv in kmesh_shell_automatic', stdout, seedname) - amat2(:, :) = 0.0_dp; umat2(:, :) = 0.0_dp; vmat2(:, :) = 0.0_dp; smat2(:, :) = 0.0_dp; singv2(:) = 0.0_dp + amath(:, :) = 0.0_dp; umath(:, :) = 0.0_dp; vmath(:, :) = 0.0_dp; smath(:, :) = 0.0_dp; singvh(:) = 0.0_dp - amat = 0.0_dp - do loop_s = 1, kmesh_input%num_shells - do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - amat(1, loop_s) = amat(1, loop_s) + bvector(1, loop_b, loop_s)*bvector(1, loop_b, loop_s) - amat(2, loop_s) = amat(2, loop_s) + bvector(2, loop_b, loop_s)*bvector(2, loop_b, loop_s) - amat(3, loop_s) = amat(3, loop_s) + bvector(3, loop_b, loop_s)*bvector(3, loop_b, loop_s) - amat(4, loop_s) = amat(4, loop_s) + bvector(1, loop_b, loop_s)*bvector(2, loop_b, loop_s) - amat(5, loop_s) = amat(5, loop_s) + bvector(2, loop_b, loop_s)*bvector(3, loop_b, loop_s) - amat(6, loop_s) = amat(6, loop_s) + bvector(3, loop_b, loop_s)*bvector(1, loop_b, loop_s) - end do - end do + num_of_eqs = (1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order) + allocate (aaa(kmesh_input%finite_diff_order, num_of_eqs), stat=ierr) + if (ierr /= 0) call io_error('Error allocating aaa in kmesh_shell_automatic', stdout, seedname) + allocate (bbb(kmesh_input%finite_diff_order, num_of_eqs), stat=ierr) + if (ierr /= 0) call io_error('Error allocating bbb in kmesh_shell_automatic', stdout, seedname) + allocate (ccc(kmesh_input%finite_diff_order, num_of_eqs), stat=ierr) + if (ierr /= 0) call io_error('Error allocating ccc in kmesh_shell_automatic', stdout, seedname) + + !amat = 0.0_dp + !do loop_s = 1, kmesh_input%num_shells + ! do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) + ! amat(1, loop_s) = amat(1, loop_s) + bvector(1, loop_b, loop_s)*bvector(1, loop_b, loop_s) + ! amat(2, loop_s) = amat(2, loop_s) + bvector(2, loop_b, loop_s)*bvector(2, loop_b, loop_s) + ! amat(3, loop_s) = amat(3, loop_s) + bvector(3, loop_b, loop_s)*bvector(3, loop_b, loop_s) + ! amat(4, loop_s) = amat(4, loop_s) + bvector(1, loop_b, loop_s)*bvector(2, loop_b, loop_s) + ! amat(5, loop_s) = amat(5, loop_s) + bvector(2, loop_b, loop_s)*bvector(3, loop_b, loop_s) + ! amat(6, loop_s) = amat(6, loop_s) + bvector(3, loop_b, loop_s)*bvector(1, loop_b, loop_s) + ! end do + !end do !find higher finite-diff weights - if (kmesh_input%finite_diff_order .gt. 1) then - amat2 = 0.0_dp + do loop_n = 1, kmesh_input%finite_diff_order do loop_s = 1, kmesh_input%num_shells - do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - amat2(1:6, loop_s) = amat(:, loop_s) - do loop_i = 1, 15 - do loop_j = 0, 4 - if (loop_j*(11 - loop_j)/2 <= loop_i - 1 .and. (loop_j + 1)*(10 - loop_j)/2 > loop_i - 1) then - cc(loop_i) = loop_j - exit - endif - enddo - bb(loop_i) = loop_i - 1 - cc(loop_i)*(11 - cc(loop_i))/2 - aa(loop_i) = 4 - bb(loop_i) - cc(loop_i) - amat2(6 + loop_i, loop_s) = amat2(6 + loop_i, loop_s) + (bvector(1, loop_b, loop_s)**aa(loop_i)) & - *(bvector(2, loop_b, loop_s)**bb(loop_i))*(bvector(3, loop_b, loop_s)**cc(loop_i)) + num_of_eqs = (1 + loop_n)*(1 + 2*loop_n) !((3, 2n)) (combi. with repetition) + num_of_eqs_prev = loop_n*(2*loop_n - 1) + if (loop_n .eq. 1) num_of_eqs_prev = 0 + do loop_i = 1, num_of_eqs + do loop_j = 0, 2*loop_n ! 1,2,3,4,5,6 -> xx, xy, yy, xz, yz, zz/ 1,2,...,15 -> xxx, xxy, xyy, yyy, xxz, xyz, ..., zzz/... + if ((2*loop_n + 1)*loop_j - loop_j*(loop_j - 1)/2 <= loop_i - 1 & + .and. (2*loop_n + 1)*(loop_j + 1) - (loop_j + 1)*loop_j/2 > loop_i - 1) then + ccc(loop_n, loop_i) = loop_j + exit + endif + enddo + bbb(loop_n, loop_i) = loop_i - 1 - ((2*loop_n + 1)*ccc(loop_n, loop_i) - ccc(loop_n, loop_i) & + *(ccc(loop_n, loop_i) - 1)/2) + aaa(loop_n, loop_i) = 2*loop_n - bbb(loop_n, loop_i) - ccc(loop_n, loop_i) + do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) + amath(num_of_eqs_prev + loop_i, loop_s) = amath(num_of_eqs_prev + loop_i, loop_s) & + + (bvector(1, loop_b, loop_s)**aaa(loop_n, loop_i)) & + *(bvector(2, loop_b, loop_s)**bbb(loop_n, loop_i)) & + *(bvector(3, loop_b, loop_s)**ccc(loop_n, loop_i)) enddo enddo enddo - endif + enddo + + !!find higher finite-diff weights + !if (kmesh_input%finite_diff_order .gt. 1) then + ! amat2 = 0.0_dp + ! do loop_s = 1, kmesh_input%num_shells + ! do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) + ! amat2(1:6, loop_s) = amat(:, loop_s) + ! do loop_i = 1, 15 + ! do loop_j = 0, 4 + ! if (loop_j*(11 - loop_j)/2 <= loop_i - 1 .and. (loop_j + 1)*(10 - loop_j)/2 > loop_i - 1) then + ! cc(loop_i) = loop_j + ! exit + ! endif + ! enddo + ! bb(loop_i) = loop_i - 1 - cc(loop_i)*(11 - cc(loop_i))/2 + ! aa(loop_i) = 4 - bb(loop_i) - cc(loop_i) + ! amat2(6 + loop_i, loop_s) = amat2(6 + loop_i, loop_s) + (bvector(1, loop_b, loop_s)**aa(loop_i)) & + ! *(bvector(2, loop_b, loop_s)**bb(loop_i))*(bvector(3, loop_b, loop_s)**cc(loop_i)) + ! enddo + ! enddo + ! enddo + !endif info = 0 !call dgesvd('A', 'A', max_shells, kmesh_input%num_shells, amat, max_shells, singv, umat, & @@ -1264,8 +1273,9 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca ! smat(loop_s, loop_s) = 1.0_dp/singv(loop_s) !end do - call dgesvd('A', 'A', max_shells_2, kmesh_input%num_shells, amat2, max_shells_2, singv2, umat2, & - max_shells_2, vmat2, kmesh_input%num_shells, work, lwork, info) + call dgesvd('A', 'A', kmesh_input%max_shells_h, kmesh_input%num_shells, amath, & + kmesh_input%max_shells_h, singvh, umath, & + kmesh_input%max_shells_h, vmath, kmesh_input%num_shells, work, kmesh_input%max_shells_h*10, info) if (info < 0) then if (print_output%iprint > 0) then write (stdout, '(1x,a,1x,I1,1x,a)') 'kmesh_shell_automatic: Argument', abs(info), & @@ -1276,7 +1286,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca call io_error('kmesh_shell_automatic: Singular Value Decomposition did not converge', stdout, seedname) end if - if (any(abs(singv2) < eps5)) then + if (any(abs(singvh) < eps5)) then if (kmesh_input%num_shells == 1) then call io_error('kmesh_shell_automatic: Singular Value Decomposition has found a very small singular value', & stdout, seedname) @@ -1284,15 +1294,15 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca if (print_output%iprint > 0) then write (stdout, '(1x,a)') '| SVD found small singular value, Rejecting this shell and trying the next |' endif - b2sat = .false. + bsat = .false. kmesh_input%num_shells = kmesh_input%num_shells - 1 goto 200 end if end if - smat2 = 0.0_dp + smath = 0.0_dp do loop_s = 1, kmesh_input%num_shells - smat2(loop_s, loop_s) = 1.0_dp/singv2(loop_s) + smath(loop_s, loop_s) = 1.0_dp/singvh(loop_s) end do ! S. Ponce: The following below is correct but had to be unpacked because of PGI-15 @@ -1303,11 +1313,11 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca !tmp3 = matmul(transpose(vmat), tmp2) !bweight(1:kmesh_input%num_shells) = tmp3 - tmp20 = transpose(umat2) - tmp21 = matmul(tmp20, target2) - tmp22 = matmul(smat2, tmp21) - tmp23 = matmul(transpose(vmat2), tmp22) - bweight(1:kmesh_input%num_shells) = tmp23 + tmph0 = transpose(umath) + tmph1 = matmul(tmph0, targeth) + tmph2 = matmul(smath, tmph1) + tmph3 = matmul(transpose(vmath), tmph2) + bweight(1:kmesh_input%num_shells) = tmph3 if (print_output%iprint >= 2) then do loop_s = 1, kmesh_input%num_shells @@ -1317,62 +1327,80 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca end if !check b1 - b1sat = .true. - do loop_i = 1, 3 - do loop_j = loop_i, 3 - delta = 0.0_dp + !b1sat = .true. + !do loop_i = 1, 3 + ! do loop_j = loop_i, 3 + ! delta = 0.0_dp + ! do loop_s = 1, kmesh_input%num_shells + ! do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) + ! delta = delta + bweight(loop_s)*bvector(loop_i, loop_b, loop_s)*bvector(loop_j, loop_b, loop_s) + ! end do + ! end do + ! if (loop_i == loop_j) then + ! if (abs(delta - 1.0_dp) > kmesh_input%tol) b1sat = .false. + ! end if + ! if (loop_i /= loop_j) then + ! if (abs(delta) > kmesh_input%tol) b1sat = .false. + ! end if + ! end do + !end do +! + !if (.not. b1sat) then + ! if (shell < kmesh_input%search_shells .and. print_output%iprint >= 3) then + ! if (print_output%iprint > 0) write (stdout, '(1x,a,24x,a1)') '| B1 condition is not satisfied: Adding another shell', '|' +! + ! elseif (shell == kmesh_input%search_shells) then +! + ! if (print_output%iprint > 0) then + ! write (stdout, *) ' ' + ! write (stdout, '(1x,a,i3,a)') 'Unable to satisfy B1 with any of the first ', kmesh_input%search_shells, ' shells' + ! write (stdout, '(1x,a)') 'Check that you have specified your unit cell to a high precision' + ! write (stdout, '(1x,a)') 'Low precision might cause a loss of symmetry.' + ! write (stdout, '(1x,a)') ' ' + ! write (stdout, '(1x,a)') 'If your cell is very long, or you have an irregular MP grid' + ! write (stdout, '(1x,a)') 'Try increasing the parameter search_shells in the win file (default=30)' + ! write (stdout, *) ' ' + ! call io_error('kmesh_get_automatic', stdout, seedname) + ! end if +! + ! end if + !end if + + !check higher-order version of b1 + bsat = .true. + do loop_n = 1, kmesh_input%finite_diff_order + num_of_eqs = (1 + loop_n)*(1 + 2*loop_n) + do loop_i = 1, num_of_eqs + deltah = 0.0_dp do loop_s = 1, kmesh_input%num_shells do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - delta = delta + bweight(loop_s)*bvector(loop_i, loop_b, loop_s)*bvector(loop_j, loop_b, loop_s) + deltah = deltah + bweight(loop_s)*(bvector(1, loop_b, loop_s)**aaa(loop_n, loop_i)) & + *(bvector(2, loop_b, loop_s)**bbb(loop_n, loop_i))*(bvector(3, loop_b, loop_s)**ccc(loop_n, loop_i)) end do end do - if (loop_i == loop_j) then - if (abs(delta - 1.0_dp) > kmesh_input%tol) b1sat = .false. - end if - if (loop_i /= loop_j) then - if (abs(delta) > kmesh_input%tol) b1sat = .false. - end if - end do + if (loop_n .eq. 1 .and. (loop_i .eq. 1 .or. loop_i .eq. 3 .or. loop_i .eq. 6)) then + if (abs(deltah - 1.0_dp) > kmesh_input%tol) bsat = .false. + else + if (abs(deltah) > kmesh_input%tol) bsat = .false. !make eq dimensionless + endif + enddo end do - if (.not. b1sat) then - if (shell < kmesh_input%search_shells .and. print_output%iprint >= 3) then - if (print_output%iprint > 0) write (stdout, '(1x,a,24x,a1)') '| B1 condition is not satisfied: Adding another shell', '|' - - elseif (shell == kmesh_input%search_shells) then - - if (print_output%iprint > 0) then - write (stdout, *) ' ' - write (stdout, '(1x,a,i3,a)') 'Unable to satisfy B1 with any of the first ', kmesh_input%search_shells, ' shells' - write (stdout, '(1x,a)') 'Check that you have specified your unit cell to a high precision' - write (stdout, '(1x,a)') 'Low precision might cause a loss of symmetry.' - write (stdout, '(1x,a)') ' ' - write (stdout, '(1x,a)') 'If your cell is very long, or you have an irregular MP grid' - write (stdout, '(1x,a)') 'Try increasing the parameter search_shells in the win file (default=30)' - write (stdout, *) ' ' - call io_error('kmesh_get_automatic', stdout, seedname) - end if - - end if - end if - - !check higher-order version of b1 - b2sat = .true. - do loop_i = 1, 15 - delta2 = 0.0_dp - do loop_s = 1, kmesh_input%num_shells - do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - delta2 = delta2 + bweight(loop_s)*(bvector(1, loop_b, loop_s)**aa(loop_i)) & - *(bvector(2, loop_b, loop_s)**bb(loop_i))*(bvector(3, loop_b, loop_s)**cc(loop_i)) - end do - end do - if (abs(delta2) > kmesh_input%tol) b2sat = .false. - end do + !b2sat = .true. + !do loop_i = 1, 15 + ! delta2 = 0.0_dp + ! do loop_s = 1, kmesh_input%num_shells + ! do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) + ! delta2 = delta2 + bweight(loop_s)*(bvector(1, loop_b, loop_s)**aa(loop_i)) & + ! *(bvector(2, loop_b, loop_s)**bb(loop_i))*(bvector(3, loop_b, loop_s)**cc(loop_i)) + ! end do + ! end do + ! if (abs(delta2) > kmesh_input%tol) b2sat = .false. + !end do - if (.not. b2sat) then + if (.not. bsat) then if (shell < kmesh_input%search_shells .and. print_output%iprint >= 3) then - if (print_output%iprint > 0) write (stdout, '(1x,a,24x,a1)') & - '| higher-order version of B1 condition is not satisfied: Adding another shell', '|' + if (print_output%iprint > 0) write (stdout, '(1x,a,24x,a1)') '| B1 condition is not satisfied: Adding another shell', '|' elseif (shell == kmesh_input%search_shells) then @@ -1393,49 +1421,37 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca end if 200 continue - !deallocate (tmp0, stat=ierr) - !if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - !deallocate (tmp1, stat=ierr) - !if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - !deallocate (tmp2, stat=ierr) - !if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - !deallocate (tmp3, stat=ierr) - !if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (amat, stat=ierr) - if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - !deallocate (umat, stat=ierr) - !if (ierr /= 0) call io_error('Error deallocating umat in kmesh_shell_automatic', stdout, seedname) - !deallocate (vmat, stat=ierr) - !if (ierr /= 0) call io_error('Error deallocating vmat in kmesh_shell_automatic', stdout, seedname) - !deallocate (smat, stat=ierr) - !if (ierr /= 0) call io_error('Error deallocating smat in kmesh_shell_automatic', stdout, seedname) - !deallocate (singv, stat=ierr) - !if (ierr /= 0) call io_error('Error deallocating singv in kmesh_shell_automatic', stdout, seedname) - - deallocate (tmp20, stat=ierr) + + deallocate (tmph0, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (tmp21, stat=ierr) + deallocate (tmph1, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (tmp22, stat=ierr) + deallocate (tmph2, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (tmp23, stat=ierr) + deallocate (tmph3, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (amat2, stat=ierr) + deallocate (amath, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (umat2, stat=ierr) + deallocate (umath, stat=ierr) if (ierr /= 0) call io_error('Error deallocating umat in kmesh_shell_automatic', stdout, seedname) - deallocate (vmat2, stat=ierr) + deallocate (vmath, stat=ierr) if (ierr /= 0) call io_error('Error deallocating vmat in kmesh_shell_automatic', stdout, seedname) - deallocate (smat2, stat=ierr) + deallocate (smath, stat=ierr) if (ierr /= 0) call io_error('Error deallocating smat in kmesh_shell_automatic', stdout, seedname) - deallocate (singv2, stat=ierr) + deallocate (singvh, stat=ierr) if (ierr /= 0) call io_error('Error deallocating singv in kmesh_shell_automatic', stdout, seedname) + deallocate (aaa, stat=ierr) + if (ierr /= 0) call io_error('Error deallocating aaa in kmesh_shell_automatic', stdout, seedname) + deallocate (bbb, stat=ierr) + if (ierr /= 0) call io_error('Error deallocating bbb in kmesh_shell_automatic', stdout, seedname) + deallocate (ccc, stat=ierr) + if (ierr /= 0) call io_error('Error deallocating ccc in kmesh_shell_automatic', stdout, seedname) - if (b1sat .and. b2sat) exit + if (bsat) exit end do - if (.not. b1sat) then + if (.not. bsat) then if (print_output%iprint > 0) then write (stdout, *) ' ' write (stdout, '(1x,a,i3,a)') 'Unable to satisfy B1 with any of the first ', & @@ -1446,17 +1462,6 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca end if call io_error('kmesh_get_automatic', stdout, seedname) end if - if (.not. b2sat) then - if (print_output%iprint > 0) then - write (stdout, *) ' ' - write (stdout, '(1x,a,i3,a)') 'Unable to satisfy higher-order version of B1 with any of the first ', & - kmesh_input%search_shells, ' shells' - write (stdout, '(1x,a)') 'Your cell might be very long, or you may have an irregular MP grid' - write (stdout, '(1x,a)') 'Try increasing the parameter search_shells in the win file (default=12)' - write (stdout, *) ' ' - end if - call io_error('kmesh_get_automatic', stdout, seedname) - end if if (print_output%timing_level > 1) call io_stopwatch('kmesh: shell_automatic', 2, stdout, seedname) diff --git a/src/readwrite.F90 b/src/readwrite.F90 index 8d1f40947..e1cad86a7 100644 --- a/src/readwrite.F90 +++ b/src/readwrite.F90 @@ -565,14 +565,18 @@ subroutine w90_readwrite_read_kmesh_data(kmesh_input, stdout, seedname) character(len=50), intent(in) :: seedname integer :: itmp, ierr logical :: found + integer :: n kmesh_input%search_shells = 36 call w90_readwrite_get_keyword(stdout, seedname, 'search_shells', found, i_value=kmesh_input%search_shells) if (kmesh_input%search_shells < 0) call io_error('Error: search_shells must be positive', stdout, seedname) - kmesh_input%finite_diff_order = 2 + kmesh_input%finite_diff_order = 1 call w90_readwrite_get_keyword(stdout, seedname, 'finite_diff_order', found, i_value=kmesh_input%finite_diff_order) if (kmesh_input%finite_diff_order < 0) call io_error('Error: finite_diff_order must be positive', stdout, seedname) + n = kmesh_input%finite_diff_order + kmesh_input%max_shells_h = n*(4*n**2 + 15*n + 17)/6 + kmesh_input%num_nnmax_h = 2*kmesh_input%max_shells_h kmesh_input%tol = 0.000001_dp call w90_readwrite_get_keyword(stdout, seedname, 'kmesh_tol', found, r_value=kmesh_input%tol) @@ -581,7 +585,7 @@ subroutine w90_readwrite_read_kmesh_data(kmesh_input, stdout, seedname) kmesh_input%num_shells = 0 call w90_readwrite_get_range_vector(stdout, seedname, 'shell_list', found, kmesh_input%num_shells, lcount=.true.) if (found) then - if (kmesh_input%num_shells < 0 .or. kmesh_input%num_shells > max_shells) & + if (kmesh_input%num_shells < 0 .or. kmesh_input%num_shells > kmesh_input%max_shells_h) & call io_error('Error: number of shell in shell_list must be between zero and six', stdout, seedname) if (allocated(kmesh_input%shell_list)) deallocate (kmesh_input%shell_list) allocate (kmesh_input%shell_list(kmesh_input%num_shells), stat=ierr) @@ -592,7 +596,7 @@ subroutine w90_readwrite_read_kmesh_data(kmesh_input, stdout, seedname) call io_error('Error: shell_list must contain positive numbers', stdout, seedname) else if (allocated(kmesh_input%shell_list)) deallocate (kmesh_input%shell_list) - allocate (kmesh_input%shell_list(max_shells), stat=ierr) + allocate (kmesh_input%shell_list(kmesh_input%max_shells_h), stat=ierr) if (ierr /= 0) call io_error('Error allocating shell_list in w90_wannier90_readwrite_read', stdout, seedname) end if diff --git a/src/types.F90 b/src/types.F90 index 78a3828df..1b42a81c8 100644 --- a/src/types.F90 +++ b/src/types.F90 @@ -100,9 +100,6 @@ module w90_types ! The maximum number of shells we need to satisfy B1 condition in kmesh integer, parameter :: max_shells = 6 integer, parameter :: num_nnmax = 12 - ! The higher-order analogy of B1 condition - integer, parameter :: max_shells_2 = 21 - integer, parameter :: num_nnmax_2 = 42 type kmesh_input_type !!================================================== @@ -110,6 +107,8 @@ module w90_types !!================================================== integer :: num_shells !! no longer an input keyword + integer :: max_shells_h ! \sum ((3, 2i)) (combination with rep.) = n(4n*2 + 15n + 17)/6 + integer :: num_nnmax_h ! 2*n(4n*2 + 15n + 17)/6 integer :: finite_diff_order !! Higher-order of finite-difference formulas logical :: skip_B1_tests From 503fa3cf55c37e99771149ea4379de2c033741c7 Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Thu, 3 Mar 2022 10:30:40 +0900 Subject: [PATCH 03/45] Variable names changed, comments deleted --- src/kmesh.F90 | 317 +++++++++++++------------------------------------- 1 file changed, 84 insertions(+), 233 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index d4101ea1f..bc7afb0f8 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -96,9 +96,9 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti real(kind=dp) :: bweight(kmesh_input%max_shells_h) real(kind=dp) :: wb_local(kmesh_input%num_nnmax_h) real(kind=dp) :: bk_local(3, kmesh_input%num_nnmax_h, num_kpts) - integer :: aaa((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) - integer :: bbb((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) - integer :: ccc((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) + integer :: num_x((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) + integer :: num_y((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) + integer :: num_z((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) integer, allocatable :: nnlist_tmp(:, :), nncell_tmp(:, :, :) ![ysl] integer :: ifound, counter, na, nap, loop_s, loop_b, shell !, nbvec, bnum @@ -421,32 +421,6 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! We know it is true for kpt=1; but we check the rest to be safe. ! Eq. B1 in Appendix B PRB 56 12847 (1997) - !if (.not. kmesh_input%skip_B1_tests) then - ! do nkp = 1, num_kpts - ! do i = 1, 3 - ! do j = 1, 3 - ! ddelta = 0.0_dp - ! nnx = 0 - ! do ndnnx = 1, kmesh_input%num_shells - ! ndnn = kmesh_input%shell_list(ndnnx) - ! do nnsh = 1, nnshell(1, ndnn) - ! nnx = nnx + 1 - ! ddelta = ddelta + wb_local(nnx)*bk_local(i, nnx, nkp)*bk_local(j, nnx, nkp) - ! enddo - ! enddo - ! if ((i .eq. j) .and. (abs(ddelta - 1.0_dp) .gt. kmesh_input%tol)) then - ! if (print_output%iprint > 0) write (stdout, '(1x,2i3,f12.8)') i, j, ddelta - ! call io_error('Eq. (B1) not satisfied in kmesh_get (1)', stdout, seedname) - ! endif - ! if ((i .ne. j) .and. (abs(ddelta) .gt. kmesh_input%tol)) then - ! if (print_output%iprint > 0) write (stdout, '(1x,2i3,f12.8)') i, j, ddelta - ! call io_error('Eq. (B1) not satisfied in kmesh_get (2)', stdout, seedname) - ! endif - ! enddo - ! enddo - ! enddo - !end if - if (.not. kmesh_input%skip_B1_tests) then do nkp = 1, num_kpts do i = 1, kmesh_input%finite_diff_order @@ -455,30 +429,30 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti do l = 0, 2*i if ((2*i + 1)*l - l*(l - 1)/2 <= j - 1 & .and. (2*i + 1)*(l + 1) - (l + 1)*l/2 > j - 1) then - ccc(j) = l + num_z(j) = l exit endif enddo - bbb(j) = j - 1 - ((2*i + 1)*ccc(j) - ccc(j)*(ccc(j) - 1)/2) - aaa(j) = 2*i - bbb(j) - ccc(j) + num_y(j) = j - 1 - ((2*i + 1)*num_z(j) - num_z(j)*(num_z(j) - 1)/2) + num_x(j) = 2*i - num_y(j) - num_z(j) ddelta = 0.0_dp nnx = 0 do ndnnx = 1, kmesh_input%num_shells ndnn = kmesh_input%shell_list(ndnnx) do nnsh = 1, nnshell(1, ndnn) nnx = nnx + 1 - ddelta = ddelta + wb_local(nnx)*(bk_local(1, nnx, nkp)**aaa(j)) & - *(bk_local(2, nnx, nkp)**bbb(j))*(bk_local(3, nnx, nkp)**ccc(j)) + ddelta = ddelta + wb_local(nnx)*(bk_local(1, nnx, nkp)**num_x(j)) & + *(bk_local(2, nnx, nkp)**num_y(j))*(bk_local(3, nnx, nkp)**num_z(j)) enddo enddo if (i .eq. 1 .and. (j .eq. 1 .or. j .eq. 3 .or. j .eq. 6)) then if (abs(ddelta - 1.0_dp) .gt. kmesh_input%tol) then - if (print_output%iprint > 0) write (stdout, '(1x,3i3,f12.8)') aaa(j), bbb(j), ccc(j), ddelta + if (print_output%iprint > 0) write (stdout, '(1x,3i3,f12.8)') num_x(j), num_y(j), num_z(j), ddelta call io_error('Eq. (B1) not satisfied in kmesh_get (1)', stdout, seedname) endif else if (abs(ddelta) .gt. kmesh_input%tol) then - if (print_output%iprint > 0) write (stdout, '(1x,3i3,f12.8)') aaa(j), bbb(j), ccc(j), ddelta + if (print_output%iprint > 0) write (stdout, '(1x,3i3,f12.8)') num_x(j), num_y(j), num_z(j), ddelta call io_error('Eq. (B1) not satisfied in kmesh_get (2)', stdout, seedname) endif end if @@ -1080,23 +1054,20 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca real(kind=dp), dimension(:), allocatable :: singv, tmp1, tmp2, tmp3 real(kind=dp), dimension(:, :), allocatable :: amat, umat, vmat, smat, tmp0 real(kind=dp) :: work((kmesh_input%max_shells_h)*10) - real(kind=dp), parameter :: target(6) = (/1.0_dp, 1.0_dp, 1.0_dp, 0.0_dp, 0.0_dp, 0.0_dp/) - logical :: b1sat, lpar + !real(kind=dp), parameter :: target(6) = (/1.0_dp, 1.0_dp, 1.0_dp, 0.0_dp, 0.0_dp, 0.0_dp/) + logical :: lpar integer :: loop_i, loop_j, loop_bn, loop_b, loop_s, info, cur_shell, ierr real(kind=dp) :: delta integer :: loop, shell ! variables for higher-order finite-difference - real(kind=dp), dimension(:), allocatable :: singvh, tmph1, tmph2, tmph3 - real(kind=dp), dimension(:, :), allocatable :: amath, umath, vmath, smath, tmph0 - integer, dimension(:, :), allocatable :: aaa, bbb, ccc - real(kind=dp) :: deltah + integer, dimension(:, :), allocatable :: num_x, num_y, num_z logical :: bsat - real(kind=dp) :: targeth(kmesh_input%max_shells_h) - integer :: loop_n, num_of_eqs, num_of_eqs_prev + real(kind=dp) :: target(kmesh_input%max_shells_h) + integer :: loop_order, num_of_eqs, num_of_eqs_prev - targeth = 0.0_dp; targeth(1) = 1.0_dp; targeth(3) = 1.0_dp; targeth(6) = 1.0_dp + target = 0.0_dp; target(1) = 1.0_dp; target(3) = 1.0_dp; target(6) = 1.0_dp if (print_output%timing_level > 1) call io_stopwatch('kmesh: shell_automatic', 1, stdout, seedname) @@ -1152,130 +1123,67 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca kmesh_input%num_shells = kmesh_input%num_shells + 1 kmesh_input%shell_list(kmesh_input%num_shells) = shell - allocate (tmph0(kmesh_input%max_shells_h, kmesh_input%max_shells_h), stat=ierr) + allocate (tmp0(kmesh_input%max_shells_h, kmesh_input%max_shells_h), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (tmph1(kmesh_input%max_shells_h), stat=ierr) + allocate (tmp1(kmesh_input%max_shells_h), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (tmph2(kmesh_input%num_shells), stat=ierr) + allocate (tmp2(kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (tmph3(kmesh_input%num_shells), stat=ierr) + allocate (tmp3(kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (amath(kmesh_input%max_shells_h, kmesh_input%num_shells), stat=ierr) + allocate (amat(kmesh_input%max_shells_h, kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (umath(kmesh_input%max_shells_h, kmesh_input%max_shells_h), stat=ierr) + allocate (umat(kmesh_input%max_shells_h, kmesh_input%max_shells_h), stat=ierr) if (ierr /= 0) call io_error('Error allocating umat in kmesh_shell_automatic', stdout, seedname) - allocate (vmath(kmesh_input%num_shells, kmesh_input%num_shells), stat=ierr) + allocate (vmat(kmesh_input%num_shells, kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating vmat in kmesh_shell_automatic', stdout, seedname) - allocate (smath(kmesh_input%num_shells, kmesh_input%max_shells_h), stat=ierr) + allocate (smat(kmesh_input%num_shells, kmesh_input%max_shells_h), stat=ierr) if (ierr /= 0) call io_error('Error allocating smat in kmesh_shell_automatic', stdout, seedname) - allocate (singvh(kmesh_input%num_shells), stat=ierr) + allocate (singv(kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating singv in kmesh_shell_automatic', stdout, seedname) - amath(:, :) = 0.0_dp; umath(:, :) = 0.0_dp; vmath(:, :) = 0.0_dp; smath(:, :) = 0.0_dp; singvh(:) = 0.0_dp + amat(:, :) = 0.0_dp; umat(:, :) = 0.0_dp; vmat(:, :) = 0.0_dp; smat(:, :) = 0.0_dp; singv(:) = 0.0_dp num_of_eqs = (1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order) - allocate (aaa(kmesh_input%finite_diff_order, num_of_eqs), stat=ierr) - if (ierr /= 0) call io_error('Error allocating aaa in kmesh_shell_automatic', stdout, seedname) - allocate (bbb(kmesh_input%finite_diff_order, num_of_eqs), stat=ierr) - if (ierr /= 0) call io_error('Error allocating bbb in kmesh_shell_automatic', stdout, seedname) - allocate (ccc(kmesh_input%finite_diff_order, num_of_eqs), stat=ierr) - if (ierr /= 0) call io_error('Error allocating ccc in kmesh_shell_automatic', stdout, seedname) - - !amat = 0.0_dp - !do loop_s = 1, kmesh_input%num_shells - ! do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - ! amat(1, loop_s) = amat(1, loop_s) + bvector(1, loop_b, loop_s)*bvector(1, loop_b, loop_s) - ! amat(2, loop_s) = amat(2, loop_s) + bvector(2, loop_b, loop_s)*bvector(2, loop_b, loop_s) - ! amat(3, loop_s) = amat(3, loop_s) + bvector(3, loop_b, loop_s)*bvector(3, loop_b, loop_s) - ! amat(4, loop_s) = amat(4, loop_s) + bvector(1, loop_b, loop_s)*bvector(2, loop_b, loop_s) - ! amat(5, loop_s) = amat(5, loop_s) + bvector(2, loop_b, loop_s)*bvector(3, loop_b, loop_s) - ! amat(6, loop_s) = amat(6, loop_s) + bvector(3, loop_b, loop_s)*bvector(1, loop_b, loop_s) - ! end do - !end do + allocate (num_x(kmesh_input%finite_diff_order, num_of_eqs), stat=ierr) + if (ierr /= 0) call io_error('Error allocating num_x in kmesh_shell_automatic', stdout, seedname) + allocate (num_y(kmesh_input%finite_diff_order, num_of_eqs), stat=ierr) + if (ierr /= 0) call io_error('Error allocating num_y in kmesh_shell_automatic', stdout, seedname) + allocate (num_z(kmesh_input%finite_diff_order, num_of_eqs), stat=ierr) + if (ierr /= 0) call io_error('Error allocating num_z in kmesh_shell_automatic', stdout, seedname) !find higher finite-diff weights - do loop_n = 1, kmesh_input%finite_diff_order + ! To do: make this part a separate function kmesh_get_amat: amat, loop_n(loop_order) -> amat + ! make test suite(compare nnkp files) + do loop_order = 1, kmesh_input%finite_diff_order do loop_s = 1, kmesh_input%num_shells - num_of_eqs = (1 + loop_n)*(1 + 2*loop_n) !((3, 2n)) (combi. with repetition) - num_of_eqs_prev = loop_n*(2*loop_n - 1) - if (loop_n .eq. 1) num_of_eqs_prev = 0 + num_of_eqs = (1 + loop_order)*(1 + 2*loop_order) !((3, 2n)) (combi. with repetition) + num_of_eqs_prev = loop_order*(2*loop_order - 1) + if (loop_order .eq. 1) num_of_eqs_prev = 0 do loop_i = 1, num_of_eqs - do loop_j = 0, 2*loop_n ! 1,2,3,4,5,6 -> xx, xy, yy, xz, yz, zz/ 1,2,...,15 -> xxx, xxy, xyy, yyy, xxz, xyz, ..., zzz/... - if ((2*loop_n + 1)*loop_j - loop_j*(loop_j - 1)/2 <= loop_i - 1 & - .and. (2*loop_n + 1)*(loop_j + 1) - (loop_j + 1)*loop_j/2 > loop_i - 1) then - ccc(loop_n, loop_i) = loop_j + do loop_j = 0, 2*loop_order ! 1,2,3,4,5,6 -> xx, xy, yy, xz, yz, zz/ 1,2,...,15 -> xxx, xxy, xyy, yyy, xxz, xyz, ..., zzz/... + if ((2*loop_order + 1)*loop_j - loop_j*(loop_j - 1)/2 <= loop_i - 1 & + .and. (2*loop_order + 1)*(loop_j + 1) - (loop_j + 1)*loop_j/2 > loop_i - 1) then + num_z(loop_order, loop_i) = loop_j exit endif enddo - bbb(loop_n, loop_i) = loop_i - 1 - ((2*loop_n + 1)*ccc(loop_n, loop_i) - ccc(loop_n, loop_i) & - *(ccc(loop_n, loop_i) - 1)/2) - aaa(loop_n, loop_i) = 2*loop_n - bbb(loop_n, loop_i) - ccc(loop_n, loop_i) + num_y(loop_order, loop_i) = loop_i - 1 - ((2*loop_order + 1)*num_z(loop_order, loop_i) - num_z(loop_order, loop_i) & + *(num_z(loop_order, loop_i) - 1)/2) + num_x(loop_order, loop_i) = 2*loop_order - num_y(loop_order, loop_i) - num_z(loop_order, loop_i) do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - amath(num_of_eqs_prev + loop_i, loop_s) = amath(num_of_eqs_prev + loop_i, loop_s) & - + (bvector(1, loop_b, loop_s)**aaa(loop_n, loop_i)) & - *(bvector(2, loop_b, loop_s)**bbb(loop_n, loop_i)) & - *(bvector(3, loop_b, loop_s)**ccc(loop_n, loop_i)) + amat(num_of_eqs_prev + loop_i, loop_s) = amat(num_of_eqs_prev + loop_i, loop_s) & + + (bvector(1, loop_b, loop_s)**num_x(loop_order, loop_i)) & + *(bvector(2, loop_b, loop_s)**num_y(loop_order, loop_i)) & + *(bvector(3, loop_b, loop_s)**num_z(loop_order, loop_i)) enddo enddo enddo enddo - !!find higher finite-diff weights - !if (kmesh_input%finite_diff_order .gt. 1) then - ! amat2 = 0.0_dp - ! do loop_s = 1, kmesh_input%num_shells - ! do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - ! amat2(1:6, loop_s) = amat(:, loop_s) - ! do loop_i = 1, 15 - ! do loop_j = 0, 4 - ! if (loop_j*(11 - loop_j)/2 <= loop_i - 1 .and. (loop_j + 1)*(10 - loop_j)/2 > loop_i - 1) then - ! cc(loop_i) = loop_j - ! exit - ! endif - ! enddo - ! bb(loop_i) = loop_i - 1 - cc(loop_i)*(11 - cc(loop_i))/2 - ! aa(loop_i) = 4 - bb(loop_i) - cc(loop_i) - ! amat2(6 + loop_i, loop_s) = amat2(6 + loop_i, loop_s) + (bvector(1, loop_b, loop_s)**aa(loop_i)) & - ! *(bvector(2, loop_b, loop_s)**bb(loop_i))*(bvector(3, loop_b, loop_s)**cc(loop_i)) - ! enddo - ! enddo - ! enddo - !endif - info = 0 - !call dgesvd('A', 'A', max_shells, kmesh_input%num_shells, amat, max_shells, singv, umat, & - ! max_shells, vmat, kmesh_input%num_shells, work, lwork, info) - !if (info < 0) then - ! if (print_output%iprint > 0) then - ! write (stdout, '(1x,a,1x,I1,1x,a)') 'kmesh_shell_automatic: Argument', abs(info), & - ! 'of dgesvd is incorrect' - ! endif - ! call io_error('kmesh_shell_automatic: Problem with Singular Value Decomposition', stdout, seedname) - !else if (info > 0) then - ! call io_error('kmesh_shell_automatic: Singular Value Decomposition did not converge', stdout, seedname) - !end if -! - !if (any(abs(singv) < eps5)) then - ! if (kmesh_input%num_shells == 1) then - ! call io_error('kmesh_shell_automatic: Singular Value Decomposition has found a very small singular value', & - ! stdout, seedname) - ! else - ! if (print_output%iprint > 0) then - ! write (stdout, '(1x,a)') '| SVD found small singular value, Rejecting this shell and trying the next |' - ! endif - ! b1sat = .false. - ! kmesh_input%num_shells = kmesh_input%num_shells - 1 - ! goto 200 - ! end if - !end if -! - !smat = 0.0_dp - !do loop_s = 1, kmesh_input%num_shells - ! smat(loop_s, loop_s) = 1.0_dp/singv(loop_s) - !end do - - call dgesvd('A', 'A', kmesh_input%max_shells_h, kmesh_input%num_shells, amath, & - kmesh_input%max_shells_h, singvh, umath, & - kmesh_input%max_shells_h, vmath, kmesh_input%num_shells, work, kmesh_input%max_shells_h*10, info) + call dgesvd('A', 'A', kmesh_input%max_shells_h, kmesh_input%num_shells, amat, & + kmesh_input%max_shells_h, singv, umat, & + kmesh_input%max_shells_h, vmat, kmesh_input%num_shells, work, kmesh_input%max_shells_h*10, info) if (info < 0) then if (print_output%iprint > 0) then write (stdout, '(1x,a,1x,I1,1x,a)') 'kmesh_shell_automatic: Argument', abs(info), & @@ -1286,7 +1194,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca call io_error('kmesh_shell_automatic: Singular Value Decomposition did not converge', stdout, seedname) end if - if (any(abs(singvh) < eps5)) then + if (any(abs(singv) < eps5)) then if (kmesh_input%num_shells == 1) then call io_error('kmesh_shell_automatic: Singular Value Decomposition has found a very small singular value', & stdout, seedname) @@ -1300,24 +1208,18 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca end if end if - smath = 0.0_dp + smat = 0.0_dp do loop_s = 1, kmesh_input%num_shells - smath(loop_s, loop_s) = 1.0_dp/singvh(loop_s) + smat(loop_s, loop_s) = 1.0_dp/singv(loop_s) end do ! S. Ponce: The following below is correct but had to be unpacked because of PGI-15 ! bweight(1:num_shells)=matmul(transpose(vmat),matmul(smat,matmul(transpose(umat),target))) - !tmp0 = transpose(umat) - !tmp1 = matmul(tmp0, target) - !tmp2 = matmul(smat, tmp1) - !tmp3 = matmul(transpose(vmat), tmp2) - !bweight(1:kmesh_input%num_shells) = tmp3 - - tmph0 = transpose(umath) - tmph1 = matmul(tmph0, targeth) - tmph2 = matmul(smath, tmph1) - tmph3 = matmul(transpose(vmath), tmph2) - bweight(1:kmesh_input%num_shells) = tmph3 + tmp0 = transpose(umat) + tmp1 = matmul(tmp0, target) + tmp2 = matmul(smat, tmp1) + tmp3 = matmul(transpose(vmat), tmp2) + bweight(1:kmesh_input%num_shells) = tmp3 if (print_output%iprint >= 2) then do loop_s = 1, kmesh_input%num_shells @@ -1326,78 +1228,27 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca end do end if - !check b1 - !b1sat = .true. - !do loop_i = 1, 3 - ! do loop_j = loop_i, 3 - ! delta = 0.0_dp - ! do loop_s = 1, kmesh_input%num_shells - ! do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - ! delta = delta + bweight(loop_s)*bvector(loop_i, loop_b, loop_s)*bvector(loop_j, loop_b, loop_s) - ! end do - ! end do - ! if (loop_i == loop_j) then - ! if (abs(delta - 1.0_dp) > kmesh_input%tol) b1sat = .false. - ! end if - ! if (loop_i /= loop_j) then - ! if (abs(delta) > kmesh_input%tol) b1sat = .false. - ! end if - ! end do - !end do -! - !if (.not. b1sat) then - ! if (shell < kmesh_input%search_shells .and. print_output%iprint >= 3) then - ! if (print_output%iprint > 0) write (stdout, '(1x,a,24x,a1)') '| B1 condition is not satisfied: Adding another shell', '|' -! - ! elseif (shell == kmesh_input%search_shells) then -! - ! if (print_output%iprint > 0) then - ! write (stdout, *) ' ' - ! write (stdout, '(1x,a,i3,a)') 'Unable to satisfy B1 with any of the first ', kmesh_input%search_shells, ' shells' - ! write (stdout, '(1x,a)') 'Check that you have specified your unit cell to a high precision' - ! write (stdout, '(1x,a)') 'Low precision might cause a loss of symmetry.' - ! write (stdout, '(1x,a)') ' ' - ! write (stdout, '(1x,a)') 'If your cell is very long, or you have an irregular MP grid' - ! write (stdout, '(1x,a)') 'Try increasing the parameter search_shells in the win file (default=30)' - ! write (stdout, *) ' ' - ! call io_error('kmesh_get_automatic', stdout, seedname) - ! end if -! - ! end if - !end if - !check higher-order version of b1 bsat = .true. - do loop_n = 1, kmesh_input%finite_diff_order - num_of_eqs = (1 + loop_n)*(1 + 2*loop_n) + do loop_order = 1, kmesh_input%finite_diff_order + num_of_eqs = (1 + loop_order)*(1 + 2*loop_order) do loop_i = 1, num_of_eqs - deltah = 0.0_dp + delta = 0.0_dp do loop_s = 1, kmesh_input%num_shells do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - deltah = deltah + bweight(loop_s)*(bvector(1, loop_b, loop_s)**aaa(loop_n, loop_i)) & - *(bvector(2, loop_b, loop_s)**bbb(loop_n, loop_i))*(bvector(3, loop_b, loop_s)**ccc(loop_n, loop_i)) + delta = delta + bweight(loop_s)*(bvector(1, loop_b, loop_s)**num_x(loop_order, loop_i)) & + *(bvector(2, loop_b, loop_s)**num_y(loop_order, loop_i)) & + *(bvector(3, loop_b, loop_s)**num_z(loop_order, loop_i)) end do end do - if (loop_n .eq. 1 .and. (loop_i .eq. 1 .or. loop_i .eq. 3 .or. loop_i .eq. 6)) then - if (abs(deltah - 1.0_dp) > kmesh_input%tol) bsat = .false. + if (loop_order .eq. 1 .and. (loop_i .eq. 1 .or. loop_i .eq. 3 .or. loop_i .eq. 6)) then + if (abs(delta - 1.0_dp) > kmesh_input%tol) bsat = .false. else - if (abs(deltah) > kmesh_input%tol) bsat = .false. !make eq dimensionless + if (abs(delta) > kmesh_input%tol) bsat = .false. !make eq dimensionless endif enddo end do - !b2sat = .true. - !do loop_i = 1, 15 - ! delta2 = 0.0_dp - ! do loop_s = 1, kmesh_input%num_shells - ! do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - ! delta2 = delta2 + bweight(loop_s)*(bvector(1, loop_b, loop_s)**aa(loop_i)) & - ! *(bvector(2, loop_b, loop_s)**bb(loop_i))*(bvector(3, loop_b, loop_s)**cc(loop_i)) - ! end do - ! end do - ! if (abs(delta2) > kmesh_input%tol) b2sat = .false. - !end do - if (.not. bsat) then if (shell < kmesh_input%search_shells .and. print_output%iprint >= 3) then if (print_output%iprint > 0) write (stdout, '(1x,a,24x,a1)') '| B1 condition is not satisfied: Adding another shell', '|' @@ -1422,30 +1273,30 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca 200 continue - deallocate (tmph0, stat=ierr) + deallocate (tmp0, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (tmph1, stat=ierr) + deallocate (tmp1, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (tmph2, stat=ierr) + deallocate (tmp2, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (tmph3, stat=ierr) + deallocate (tmp3, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (amath, stat=ierr) + deallocate (amat, stat=ierr) if (ierr /= 0) call io_error('Error deallocating amat in kmesh_shell_automatic', stdout, seedname) - deallocate (umath, stat=ierr) + deallocate (umat, stat=ierr) if (ierr /= 0) call io_error('Error deallocating umat in kmesh_shell_automatic', stdout, seedname) - deallocate (vmath, stat=ierr) + deallocate (vmat, stat=ierr) if (ierr /= 0) call io_error('Error deallocating vmat in kmesh_shell_automatic', stdout, seedname) - deallocate (smath, stat=ierr) + deallocate (smat, stat=ierr) if (ierr /= 0) call io_error('Error deallocating smat in kmesh_shell_automatic', stdout, seedname) - deallocate (singvh, stat=ierr) + deallocate (singv, stat=ierr) if (ierr /= 0) call io_error('Error deallocating singv in kmesh_shell_automatic', stdout, seedname) - deallocate (aaa, stat=ierr) - if (ierr /= 0) call io_error('Error deallocating aaa in kmesh_shell_automatic', stdout, seedname) - deallocate (bbb, stat=ierr) - if (ierr /= 0) call io_error('Error deallocating bbb in kmesh_shell_automatic', stdout, seedname) - deallocate (ccc, stat=ierr) - if (ierr /= 0) call io_error('Error deallocating ccc in kmesh_shell_automatic', stdout, seedname) + deallocate (num_x, stat=ierr) + if (ierr /= 0) call io_error('Error deallocating num_x in kmesh_shell_automatic', stdout, seedname) + deallocate (num_y, stat=ierr) + if (ierr /= 0) call io_error('Error deallocating num_y in kmesh_shell_automatic', stdout, seedname) + deallocate (num_z, stat=ierr) + if (ierr /= 0) call io_error('Error deallocating num_z in kmesh_shell_automatic', stdout, seedname) if (bsat) exit From f8fb6c5330cdb10700c8c7c013159d45b4c0c7cd Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Thu, 3 Mar 2022 11:06:47 +0900 Subject: [PATCH 04/45] made separate subroutines to find amat/check b1 --- src/kmesh.F90 | 149 ++++++++++++++++++++++++++++++++++++-------------- 1 file changed, 108 insertions(+), 41 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index bc7afb0f8..d55b2d369 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -1152,32 +1152,10 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca if (ierr /= 0) call io_error('Error allocating num_z in kmesh_shell_automatic', stdout, seedname) !find higher finite-diff weights - ! To do: make this part a separate function kmesh_get_amat: amat, loop_n(loop_order) -> amat ! make test suite(compare nnkp files) do loop_order = 1, kmesh_input%finite_diff_order - do loop_s = 1, kmesh_input%num_shells - num_of_eqs = (1 + loop_order)*(1 + 2*loop_order) !((3, 2n)) (combi. with repetition) - num_of_eqs_prev = loop_order*(2*loop_order - 1) - if (loop_order .eq. 1) num_of_eqs_prev = 0 - do loop_i = 1, num_of_eqs - do loop_j = 0, 2*loop_order ! 1,2,3,4,5,6 -> xx, xy, yy, xz, yz, zz/ 1,2,...,15 -> xxx, xxy, xyy, yyy, xxz, xyz, ..., zzz/... - if ((2*loop_order + 1)*loop_j - loop_j*(loop_j - 1)/2 <= loop_i - 1 & - .and. (2*loop_order + 1)*(loop_j + 1) - (loop_j + 1)*loop_j/2 > loop_i - 1) then - num_z(loop_order, loop_i) = loop_j - exit - endif - enddo - num_y(loop_order, loop_i) = loop_i - 1 - ((2*loop_order + 1)*num_z(loop_order, loop_i) - num_z(loop_order, loop_i) & - *(num_z(loop_order, loop_i) - 1)/2) - num_x(loop_order, loop_i) = 2*loop_order - num_y(loop_order, loop_i) - num_z(loop_order, loop_i) - do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - amat(num_of_eqs_prev + loop_i, loop_s) = amat(num_of_eqs_prev + loop_i, loop_s) & - + (bvector(1, loop_b, loop_s)**num_x(loop_order, loop_i)) & - *(bvector(2, loop_b, loop_s)**num_y(loop_order, loop_i)) & - *(bvector(3, loop_b, loop_s)**num_z(loop_order, loop_i)) - enddo - enddo - enddo + call kmesh_get_amat(kmesh_input, amat, bvector, multi, loop_order, & + num_x(loop_order, :), num_y(loop_order, :), num_z(loop_order, :)) enddo info = 0 @@ -1228,25 +1206,11 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca end do end if - !check higher-order version of b1 + !check if the conditions including (B1) for finite-difference are satisfied bsat = .true. do loop_order = 1, kmesh_input%finite_diff_order - num_of_eqs = (1 + loop_order)*(1 + 2*loop_order) - do loop_i = 1, num_of_eqs - delta = 0.0_dp - do loop_s = 1, kmesh_input%num_shells - do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - delta = delta + bweight(loop_s)*(bvector(1, loop_b, loop_s)**num_x(loop_order, loop_i)) & - *(bvector(2, loop_b, loop_s)**num_y(loop_order, loop_i)) & - *(bvector(3, loop_b, loop_s)**num_z(loop_order, loop_i)) - end do - end do - if (loop_order .eq. 1 .and. (loop_i .eq. 1 .or. loop_i .eq. 3 .or. loop_i .eq. 6)) then - if (abs(delta - 1.0_dp) > kmesh_input%tol) bsat = .false. - else - if (abs(delta) > kmesh_input%tol) bsat = .false. !make eq dimensionless - endif - enddo + call kmesh_check_condition(kmesh_input, bsat, bvector, bweight, multi, loop_order, & + num_x(loop_order, :), num_y(loop_order, :), num_z(loop_order, :)) end do if (.not. bsat) then @@ -1320,6 +1284,109 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca end subroutine kmesh_shell_automatic + !================================================ + subroutine kmesh_get_amat(kmesh_input, amat, bvector, multi, loop_order, num_x, num_y, num_z) + !================================================ + ! + !! Find amat(coefficients to find bweight) and the numbers of x, y, z components for a given order + ! + !================================================ + + use w90_types, only: kmesh_input_type + + implicit none + + ! arguments + type(kmesh_input_type), intent(inout) :: kmesh_input + real(kind=dp), intent(inout) :: amat(:, :) + integer, intent(inout) :: num_x(:) + integer, intent(inout) :: num_y(:) + integer, intent(inout) :: num_z(:) + integer, intent(in) :: multi(kmesh_input%search_shells) ! the number of kpoints in the shell + integer, intent(in) :: loop_order + real(kind=dp), intent(in) :: bvector(3, maxval(multi), kmesh_input%max_shells_h) + + ! local variables + integer :: num_of_eqs, num_of_eqs_prev + integer :: loop_i, loop_j, loop_s, loop_b + + num_of_eqs = (1 + loop_order)*(1 + 2*loop_order) !((3, 2n)) (combi. with repetition) + num_of_eqs_prev = loop_order*(2*loop_order - 1) + if (loop_order .eq. 1) num_of_eqs_prev = 0 + + do loop_s = 1, kmesh_input%num_shells + do loop_i = 1, num_of_eqs + ! equation index, e.g. If loop_order == 3, (1,2,...,15) -> (xxx, xxy, xyy, yyy, xxz, xyz, ..., zzz) + ! find the number of z components corresponding to the current loop_i + do loop_j = 0, 2*loop_order + if ((2*loop_order + 1)*loop_j - loop_j*(loop_j - 1)/2 <= loop_i - 1 & + .and. (2*loop_order + 1)*(loop_j + 1) - (loop_j + 1)*loop_j/2 > loop_i - 1) then + num_z(loop_i) = loop_j + exit + endif + enddo + ! find the number of x and y components + num_y(loop_i) = loop_i - 1 - ((2*loop_order + 1)*num_z(loop_i) - num_z(loop_i) & + *(num_z(loop_i) - 1)/2) + num_x(loop_i) = 2*loop_order - num_y(loop_i) - num_z(loop_i) + ! calculate sum_b bb...bbbb + do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) + amat(num_of_eqs_prev + loop_i, loop_s) = amat(num_of_eqs_prev + loop_i, loop_s) & + + (bvector(1, loop_b, loop_s)**num_x(loop_i)) & + *(bvector(2, loop_b, loop_s)**num_y(loop_i)) & + *(bvector(3, loop_b, loop_s)**num_z(loop_i)) + enddo + enddo + enddo + end subroutine kmesh_get_amat + + !================================================ + subroutine kmesh_check_condition(kmesh_input, bsat, bvector, bweight, multi, loop_order, num_x, num_y, num_z) + !================================================ + ! + !! Check if the obtained bweight satisfy the conditions for finite-difference, including (B1). + ! + !================================================ + + use w90_types, only: kmesh_input_type + + implicit none + + ! arguments + type(kmesh_input_type), intent(inout) :: kmesh_input + logical, intent(inout) :: bsat + integer, intent(inout) :: num_x(:) + integer, intent(inout) :: num_y(:) + integer, intent(inout) :: num_z(:) + integer, intent(in) :: multi(kmesh_input%search_shells) ! the number of kpoints in the shell + integer, intent(in) :: loop_order + real(kind=dp), intent(in) :: bvector(3, maxval(multi), kmesh_input%max_shells_h) + real(kind=dp), intent(in) :: bweight(kmesh_input%max_shells_h) + + ! local variables + integer :: num_of_eqs + integer :: loop_i, loop_s, loop_b + real(kind=dp) :: delta + + num_of_eqs = (1 + loop_order)*(1 + 2*loop_order) + do loop_i = 1, num_of_eqs + delta = 0.0_dp + do loop_s = 1, kmesh_input%num_shells + do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) + delta = delta + bweight(loop_s)*(bvector(1, loop_b, loop_s)**num_x(loop_i)) & + *(bvector(2, loop_b, loop_s)**num_y(loop_i)) & + *(bvector(3, loop_b, loop_s)**num_z(loop_i)) + end do + end do + if (loop_order .eq. 1 .and. (loop_i .eq. 1 .or. loop_i .eq. 3 .or. loop_i .eq. 6)) then + if (abs(delta - 1.0_dp) > kmesh_input%tol) bsat = .false. + else + if (abs(delta) > kmesh_input%tol) bsat = .false. + endif + enddo + + end subroutine kmesh_check_condition + !================================================ subroutine kmesh_shell_fixed(kmesh_input, print_output, bweight, dnn, kpt_cart, recip_lattice, lmn, & multi, num_kpts, seedname, stdout) From dbbc0f5007b49228cbeeeb31d9803a11b064a37f Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Thu, 3 Mar 2022 12:03:50 +0900 Subject: [PATCH 05/45] added a test for higher-order(3rd) bweights --- test-suite/tests/jobconfig | 6 + .../tests/testw90_nnkpt_higher/.gitignore | 1 + ...hmark.out.default.inp=wannier.win.args=-pp | 346 ++++++++++++++++++ .../tests/testw90_nnkpt_higher/wannier.win | 45 +++ test-suite/tests/userconfig | 8 + 5 files changed, 406 insertions(+) create mode 100644 test-suite/tests/testw90_nnkpt_higher/.gitignore create mode 100644 test-suite/tests/testw90_nnkpt_higher/benchmark.out.default.inp=wannier.win.args=-pp create mode 100644 test-suite/tests/testw90_nnkpt_higher/wannier.win diff --git a/test-suite/tests/jobconfig b/test-suite/tests/jobconfig index dd2c83a0b..421b3db47 100644 --- a/test-suite/tests/jobconfig +++ b/test-suite/tests/jobconfig @@ -98,6 +98,12 @@ program = WANNIER90_WERR_FAIL inputs_args = ('wannier.win', '') output = wannier.werr +# Test for the higher-order bvectors and bweights +[testw90_nnkpt_higher/] +program = WANNIER90_NNKP_HIGHER +inputs_args = ('wannier.win', '-pp') +output = wannier.wout + # Testing symmetry-adapted WFs, from example21, case of As with s and p [testw90_example21_As_sp] program = WANNIER90_WOUT_OK diff --git a/test-suite/tests/testw90_nnkpt_higher/.gitignore b/test-suite/tests/testw90_nnkpt_higher/.gitignore new file mode 100644 index 000000000..b0bc2a5ca --- /dev/null +++ b/test-suite/tests/testw90_nnkpt_higher/.gitignore @@ -0,0 +1 @@ +wannier.nnkp diff --git a/test-suite/tests/testw90_nnkpt_higher/benchmark.out.default.inp=wannier.win.args=-pp b/test-suite/tests/testw90_nnkpt_higher/benchmark.out.default.inp=wannier.win.args=-pp new file mode 100644 index 000000000..13015bef2 --- /dev/null +++ b/test-suite/tests/testw90_nnkpt_higher/benchmark.out.default.inp=wannier.win.args=-pp @@ -0,0 +1,346 @@ + + +---------------------------------------------------+ + | | + | WANNIER90 | + | | + +---------------------------------------------------+ + | | + | Welcome to the Maximally-Localized | + | Generalized Wannier Functions code | + | http://www.wannier.org | + | | + | | + | Wannier90 Developer Group: | + | Giovanni Pizzi (EPFL) | + | Valerio Vitale (Cambridge) | + | David Vanderbilt (Rutgers University) | + | Nicola Marzari (EPFL) | + | Ivo Souza (Universidad del Pais Vasco) | + | Arash A. Mostofi (Imperial College London) | + | Jonathan R. Yates (University of Oxford) | + | | + | For the full list of Wannier90 3.x authors, | + | please check the code documentation and the | + | README on the GitHub page of the code | + | | + | | + | Please cite | + | | + | [ref] "Wannier90 as a community code: | + | new features and applications", | + | G. Pizzi et al., J. Phys. Cond. Matt. 32, | + | 165902 (2020). | + | http://doi.org/10.1088/1361-648X/ab51ff | + | | + | in any publications arising from the use of | + | this code. For the method please cite | + | | + | [ref] "Maximally Localized Generalised Wannier | + | Functions for Composite Energy Bands" | + | N. Marzari and D. Vanderbilt | + | Phys. Rev. B 56 12847 (1997) | + | | + | [ref] "Maximally Localized Wannier Functions | + | for Entangled Energy Bands" | + | I. Souza, N. Marzari and D. Vanderbilt | + | Phys. Rev. B 65 035109 (2001) | + | | + | | + | Copyright (c) 1996-2020 | + | The Wannier90 Developer Group and | + | individual contributors | + | | + | Release: 3.1.0 5th March 2020 | + | | + | This program is free software; you can | + | redistribute it and/or modify it under the terms | + | of the GNU General Public License as published by | + | the Free Software Foundation; either version 2 of | + | the License, or (at your option) any later version| + | | + | This program is distributed in the hope that it | + | will be useful, but WITHOUT ANY WARRANTY; without | + | even the implied warranty of MERCHANTABILITY or | + | FITNESS FOR A PARTICULAR PURPOSE. See the GNU | + | General Public License for more details. | + | | + | You should have received a copy of the GNU General| + | Public License along with this program; if not, | + | write to the Free Software Foundation, Inc., | + | 675 Mass Ave, Cambridge, MA 02139, USA. | + | | + +---------------------------------------------------+ + | Execution started on 3Mar2022 at 11:22:03 | + +---------------------------------------------------+ + + ****************************************************************************** + * -> Using CODATA 2006 constant values * + * (http://physics.nist.gov/cuu/Constants/index.html) * + * -> Using Bohr value from CODATA * + ****************************************************************************** + + + Running in serial (with parallel executable) + + ------ + SYSTEM + ------ + + Lattice Vectors (Ang) + a_1 -1.955998 0.000000 1.955998 + a_2 0.000000 1.955998 1.955998 + a_3 -1.955998 1.955998 0.000000 + + Unit Cell Volume: 14.96701 (Ang^3) + + Reciprocal-Space Vectors (Ang^-1) + b_1 -1.606133 -1.606133 1.606133 + b_2 1.606133 1.606133 1.606133 + b_3 -1.606133 1.606133 -1.606133 + + *----------------------------------------------------------------------------* + | Site Fractional Coordinate Cartesian Coordinate (Ang) | + +----------------------------------------------------------------------------+ + | Pt 1 0.00000 0.00000 0.00000 | 0.00000 0.00000 0.00000 | + *----------------------------------------------------------------------------* + ------------ + K-POINT GRID + ------------ + + Grid size = 3 x 3 x 3 Total points = 27 + + + *---------------------------------- MAIN ------------------------------------* + | Number of Wannier Functions : 18 | + | Number of Objective Wannier Functions : 18 | + | Number of input Bloch states : 18 | + | Output verbosity (1=low, 5=high) : 1 | + | Timing Level (1=low, 5=high) : 1 | + | Optimisation (0=memory, 3=speed) : 3 | + | Length Unit : Ang | + | Post-processing setup (write *.nnkp) : T | + | Using Gamma-only branch of algorithms : F | + *----------------------------------------------------------------------------* + *------------------------------- WANNIERISE ---------------------------------* + | Total number of iterations : 100 | + | Number of CG steps before reset : 5 | + | Trial step length for line search : 2.000 | + | Convergence tolerence : 0.100E-09 | + | Convergence window : -1 | + | Iterations between writing output : 1 | + | Iterations between backing up to disk : 100 | + | Write r^2_nm to file : F | + | Write xyz WF centres to file : F | + | Write on-site energies <0n|H|0n> to file : F | + | Use guiding centre to control phases : F | + | Use phases for initial projections : F | + *----------------------------------------------------------------------------* + Time to read parameters 0.000 (sec) + + *---------------------------------- K-MESH ----------------------------------* + +----------------------------------------------------------------------------+ + | Distance to Nearest-Neighbour Shells | + | ------------------------------------ | + | Shell Distance (Ang^-1) Multiplicity | + | ----- ----------------- ------------ | + | 1 0.927301 8 | + | 2 1.070755 6 | + | 3 1.514277 12 | + | 4 1.775647 24 | + | 5 1.854603 8 | + | 6 2.141511 6 | + | 7 2.333657 24 | + | 8 2.394282 24 | + | 9 2.622804 24 | + | 10 2.781904 32 | + | 11 3.028554 12 | + | 12 3.167337 48 | + | 13 3.212266 30 | + | 14 3.386026 24 | + | 15 3.510706 24 | + | 16 3.551294 24 | + | 17 3.709205 8 | + | 18 3.823361 48 | + | 19 3.860663 24 | + | 20 4.006400 48 | + | 21 4.112314 72 | + | 22 4.283022 6 | + | 23 4.382255 24 | + | 24 4.414838 48 | + | 25 4.542830 36 | + | 26 4.636507 56 | + | 27 4.667315 24 | + | 28 4.788564 24 | + | 29 4.877523 72 | + | 30 4.906818 48 | + | 31 5.022288 24 | + | 32 5.107178 48 | + | 33 5.245609 24 | + | 34 5.326941 72 | + | 35 5.353777 30 | + | 36 5.459803 72 | + +----------------------------------------------------------------------------+ + | The b-vectors are chosen automatically | + | SVD found small singular value, Rejecting this shell and trying the next | + | The following shells are used: 1, 2, 3, 4, 5, 7 | + +----------------------------------------------------------------------------+ + | Shell # Nearest-Neighbours | + | ----- -------------------- | + | 1 8 | + | 2 6 | + | 3 12 | + | 4 24 | + | 5 8 | + | 7 24 | + +----------------------------------------------------------------------------+ + | Completeness relation is fully satisfied [Eq. (B1), PRB 56, 12847 (1997)] | + | Completeness relations for higher-order are fully satisfied | + +----------------------------------------------------------------------------+ + | b_k Vectors (Ang^-1) and Weights (Ang^2) | + | ---------------------------------------- | + | No. b_k(x) b_k(y) b_k(z) w_b | + | --- -------------------------------- -------- | + | 1 -0.535378 0.535378 -0.535378 0.659001 | + | 2 0.535378 0.535378 0.535378 0.659001 | + | 3 -0.535378 -0.535378 0.535378 0.659001 | + | 4 -0.535378 0.535378 0.535378 0.659001 | + | 5 0.535378 -0.535378 0.535378 0.659001 | + | 6 -0.535378 -0.535378 -0.535378 0.659001 | + | 7 0.535378 0.535378 -0.535378 0.659001 | + | 8 0.535378 -0.535378 -0.535378 0.659001 | + | 9 0.000000 1.070755 0.000000 0.155059 | + | 10 -1.070755 0.000000 0.000000 0.155059 | + | 11 0.000000 0.000000 1.070755 0.155059 | + | 12 0.000000 -1.070755 0.000000 0.155059 | + | 13 1.070755 0.000000 0.000000 0.155059 | + | 14 0.000000 0.000000 -1.070755 0.155059 | + | 15 -1.070755 1.070755 -0.000000 -0.077529 | + | 16 0.000000 1.070755 1.070755 -0.077529 | + | 17 -1.070755 -0.000000 1.070755 -0.077529 | + | 18 1.070755 0.000000 1.070755 -0.077529 | + | 19 0.000000 -1.070755 1.070755 -0.077529 | + | 20 -1.070755 0.000000 -1.070755 -0.077529 | + | 21 -1.070755 -1.070755 0.000000 -0.077529 | + | 22 0.000000 1.070755 -1.070755 -0.077529 | + | 23 1.070755 1.070755 0.000000 -0.077529 | + | 24 1.070755 0.000000 -1.070755 -0.077529 | + | 25 -0.000000 -1.070755 -1.070755 -0.077529 | + | 26 1.070755 -1.070755 0.000000 -0.077529 | + | 27 -0.535378 1.606133 -0.535378 -0.004846 | + | 28 0.535378 1.606133 0.535378 -0.004846 | + | 29 -1.606133 0.535378 -0.535378 -0.004846 | + | 30 0.535378 0.535378 1.606133 -0.004846 | + | 31 -0.535378 1.606133 0.535378 -0.004846 | + | 32 -1.606133 -0.535378 0.535378 -0.004846 | + | 33 -0.535378 -0.535378 1.606133 -0.004846 | + | 34 -1.606133 0.535378 0.535378 -0.004846 | + | 35 -0.535378 0.535378 1.606133 -0.004846 | + | 36 0.535378 -0.535378 1.606133 -0.004846 | + | 37 -1.606133 -0.535378 -0.535378 -0.004846 | + | 38 0.535378 1.606133 -0.535378 -0.004846 | + | 39 0.535378 -0.535378 -1.606133 -0.004846 | + | 40 1.606133 -0.535378 -0.535378 -0.004846 | + | 41 0.535378 -1.606133 -0.535378 -0.004846 | + | 42 -0.535378 -1.606133 -0.535378 -0.004846 | + | 43 0.535378 -1.606133 0.535378 -0.004846 | + | 44 -0.535378 -1.606133 0.535378 -0.004846 | + | 45 1.606133 0.535378 -0.535378 -0.004846 | + | 46 1.606133 -0.535378 0.535378 -0.004846 | + | 47 1.606133 0.535378 0.535378 -0.004846 | + | 48 0.535378 0.535378 -1.606133 -0.004846 | + | 49 -0.535378 -0.535378 -1.606133 -0.004846 | + | 50 -0.535378 0.535378 -1.606133 -0.004846 | + | 51 -1.070755 1.070755 -1.070755 -0.026651 | + | 52 1.070755 1.070755 1.070755 -0.026651 | + | 53 -1.070755 -1.070755 1.070755 -0.026651 | + | 54 -1.070755 1.070755 1.070755 -0.026651 | + | 55 1.070755 -1.070755 1.070755 -0.026651 | + | 56 -1.070755 -1.070755 -1.070755 -0.026651 | + | 57 1.070755 1.070755 -1.070755 -0.026651 | + | 58 1.070755 -1.070755 -1.070755 -0.026651 | + | 59 -1.606133 -0.535378 1.606133 0.004846 | + | 60 -1.606133 0.535378 1.606133 0.004846 | + | 61 0.535378 1.606133 1.606133 0.004846 | + | 62 -0.535378 1.606133 1.606133 0.004846 | + | 63 -1.606133 1.606133 -0.535378 0.004846 | + | 64 -1.606133 1.606133 0.535378 0.004846 | + | 65 1.606133 -0.535378 1.606133 0.004846 | + | 66 1.606133 0.535378 1.606133 0.004846 | + | 67 0.535378 -1.606133 1.606133 0.004846 | + | 68 -0.535378 -1.606133 1.606133 0.004846 | + | 69 -1.606133 -0.535378 -1.606133 0.004846 | + | 70 -1.606133 0.535378 -1.606133 0.004846 | + | 71 -1.606133 -1.606133 -0.535378 0.004846 | + | 72 -1.606133 -1.606133 0.535378 0.004846 | + | 73 0.535378 1.606133 -1.606133 0.004846 | + | 74 1.606133 1.606133 -0.535378 0.004846 | + | 75 -0.535378 1.606133 -1.606133 0.004846 | + | 76 1.606133 1.606133 0.535378 0.004846 | + | 77 1.606133 -0.535378 -1.606133 0.004846 | + | 78 1.606133 0.535378 -1.606133 0.004846 | + | 79 0.535378 -1.606133 -1.606133 0.004846 | + | 80 1.606133 -1.606133 -0.535378 0.004846 | + | 81 -0.535378 -1.606133 -1.606133 0.004846 | + | 82 1.606133 -1.606133 0.535378 0.004846 | + +----------------------------------------------------------------------------+ + | b_k Directions (Ang^-1) | + | ----------------------- | + | No. x y z | + | --- -------------------------------- | + | 1 -0.535378 0.535378 -0.535378 | + | 2 0.535378 0.535378 0.535378 | + | 3 -0.535378 -0.535378 0.535378 | + | 4 -0.535378 0.535378 0.535378 | + | 5 0.000000 1.070755 0.000000 | + | 6 -1.070755 0.000000 0.000000 | + | 7 0.000000 0.000000 1.070755 | + | 8 -1.070755 1.070755 -0.000000 | + | 9 0.000000 1.070755 1.070755 | + | 10 -1.070755 -0.000000 1.070755 | + | 11 1.070755 0.000000 1.070755 | + | 12 0.000000 -1.070755 1.070755 | + | 13 -1.070755 -1.070755 0.000000 | + | 14 -0.535378 1.606133 -0.535378 | + | 15 0.535378 1.606133 0.535378 | + | 16 -1.606133 0.535378 -0.535378 | + | 17 0.535378 0.535378 1.606133 | + | 18 -0.535378 1.606133 0.535378 | + | 19 -1.606133 -0.535378 0.535378 | + | 20 -0.535378 -0.535378 1.606133 | + | 21 -1.606133 0.535378 0.535378 | + | 22 -0.535378 0.535378 1.606133 | + | 23 0.535378 -0.535378 1.606133 | + | 24 -1.606133 -0.535378 -0.535378 | + | 25 0.535378 1.606133 -0.535378 | + | 26 -1.070755 1.070755 -1.070755 | + | 27 1.070755 1.070755 1.070755 | + | 28 -1.070755 -1.070755 1.070755 | + | 29 -1.070755 1.070755 1.070755 | + | 30 -1.606133 -0.535378 1.606133 | + | 31 -1.606133 0.535378 1.606133 | + | 32 0.535378 1.606133 1.606133 | + | 33 -0.535378 1.606133 1.606133 | + | 34 -1.606133 1.606133 -0.535378 | + | 35 -1.606133 1.606133 0.535378 | + | 36 1.606133 -0.535378 1.606133 | + | 37 1.606133 0.535378 1.606133 | + | 38 0.535378 -1.606133 1.606133 | + | 39 -0.535378 -1.606133 1.606133 | + | 40 -1.606133 -1.606133 -0.535378 | + | 41 -1.606133 -1.606133 0.535378 | + +----------------------------------------------------------------------------+ + + Time to get kmesh 0.406 (sec) + *============================================================================* + | MEMORY ESTIMATE | + | Maximum RAM allocated during each phase of the calculation | + *============================================================================* + | Wannierise: 24.07 Mb | + | plot_wannier: 24.07 Mb | + *----------------------------------------------------------------------------* + + Starting a new Wannier90 calculation ... + + Time to write kmesh 0.406 (sec) + + Exiting... wannier.nnkp written. diff --git a/test-suite/tests/testw90_nnkpt_higher/wannier.win b/test-suite/tests/testw90_nnkpt_higher/wannier.win new file mode 100644 index 000000000..70c8eed99 --- /dev/null +++ b/test-suite/tests/testw90_nnkpt_higher/wannier.win @@ -0,0 +1,45 @@ +num_wann = 18 +finite_diff_order = 3 + +begin unit_cell_cart +bohr +-3.6963 0.000 3.6963 +0.000 3.6963 3.6963 +-3.6963 3.6963 0.000 +end unit_cell_cart + +begin atoms_frac +Pt 0.000 0.000 0.000 +end atoms_frac + +mp_grid = 3 3 3 + +begin kpoints + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.33333333 + 0.00000000 0.00000000 0.66666667 + 0.00000000 0.33333333 0.00000000 + 0.00000000 0.33333333 0.33333333 + 0.00000000 0.33333333 0.66666667 + 0.00000000 0.66666667 0.00000000 + 0.00000000 0.66666667 0.33333333 + 0.00000000 0.66666667 0.66666667 + 0.33333333 0.00000000 0.00000000 + 0.33333333 0.00000000 0.33333333 + 0.33333333 0.00000000 0.66666667 + 0.33333333 0.33333333 0.00000000 + 0.33333333 0.33333333 0.33333333 + 0.33333333 0.33333333 0.66666667 + 0.33333333 0.66666667 0.00000000 + 0.33333333 0.66666667 0.33333333 + 0.33333333 0.66666667 0.66666667 + 0.66666667 0.00000000 0.00000000 + 0.66666667 0.00000000 0.33333333 + 0.66666667 0.00000000 0.66666667 + 0.66666667 0.33333333 0.00000000 + 0.66666667 0.33333333 0.33333333 + 0.66666667 0.33333333 0.66666667 + 0.66666667 0.66666667 0.00000000 + 0.66666667 0.66666667 0.33333333 + 0.66666667 0.66666667 0.66666667 +end kpoints \ No newline at end of file diff --git a/test-suite/tests/userconfig b/test-suite/tests/userconfig index bced63419..30fb2e4eb 100644 --- a/test-suite/tests/userconfig +++ b/test-suite/tests/userconfig @@ -179,6 +179,14 @@ tolerance = ( (1.0e-6, 1.0e-6, 'nnkpts_g1'), (1.0e-6, 1.0e-6, 'kpoints_k1'), (1.0e-6, 1.0e-6, 'kpoints_k2')) +[WANNIER90_NNKP_HIGHER] +exe = ../../wannier90.x +extract_fn = tools parsers.parse_wout.parse +tolerance = ( (1.0e-6, 1.0e-6, 'completeness_x'), + (1.0e-6, 1.0e-6, 'completeness_y'), + (1.0e-6, 1.0e-6, 'completeness_z'), + (1.0e-6, 1.0e-6, 'completeness_weight')) + [POSTW90_SHCFERMIDAT_OK] exe = ../../postw90.x extract_fn = tools parsers.parse_shc_dat.parse From 5677f577f5a03f8edf400db9f4e02343f041b607 Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Tue, 8 Mar 2022 17:30:37 +0900 Subject: [PATCH 06/45] higher-order finite-difference using Nb vectors --- src/kmesh.F90 | 125 +++++++++++++++++++++++++++++++++++++++------- src/readwrite.F90 | 3 ++ src/types.F90 | 2 + 3 files changed, 111 insertions(+), 19 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index d55b2d369..026e848c5 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -63,6 +63,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! !================================================ + use w90_constants, only: eps6 use w90_io, only: io_error, io_stopwatch use w90_utility, only: utility_compar, utility_recip_lattice, utility_frac_to_cart use w90_types, only: kmesh_info_type, kmesh_input_type, print_output_type @@ -96,9 +97,12 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti real(kind=dp) :: bweight(kmesh_input%max_shells_h) real(kind=dp) :: wb_local(kmesh_input%num_nnmax_h) real(kind=dp) :: bk_local(3, kmesh_input%num_nnmax_h, num_kpts) + real(kind=dp), allocatable :: bk_first(:, :, :) integer :: num_x((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) integer :: num_y((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) integer :: num_z((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) + integer :: num_first_shells + logical :: lpar integer, allocatable :: nnlist_tmp(:, :), nncell_tmp(:, :, :) ![ysl] integer :: ifound, counter, na, nap, loop_s, loop_b, shell !, nbvec, bnum @@ -299,14 +303,6 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti allocate (kmesh_info%bk(3, kmesh_info%nntot, num_kpts), stat=ierr) if (ierr /= 0) call io_error('Error in allocating bk in kmesh_get', stdout, seedname) - nnx = 0 - do loop_s = 1, kmesh_input%num_shells - do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) - nnx = nnx + 1 - wb_local(nnx) = bweight(loop_s) - end do - end do - ! Now build up the list of nearest-neighbour shells for each k-point. ! nnlist(nkp,1...nnx) points to the nnx neighbours (ordered along increa ! shells) of the k-point nkp. nncell(i,nkp,nnth) tells us in which BZ is @@ -320,6 +316,29 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti write (stdout, '(1x,a)') '| ----- -------------------- |' endif !if (index(print_output%devel_flag, 'kmesh_degen') == 0) then + + ! higher-order simple algorithm: only take higher-order bvectors parallel to the 1st-order bvectors + if (kmesh_input%higher_order_simple) then + num_first_shells = kmesh_input%num_shells/kmesh_input%finite_diff_order + allocate (bk_first(3, num_first_shells, maxval(multi(1:num_first_shells))), stat=ierr) + if (ierr /= 0) call io_error('Error allocating bk_first in kmesh_get', stdout, seedname) + ! save the 1st-order bvectors + do shell = 1, num_first_shells + call kmesh_get_bvectors(kmesh_input, print_output, bk_first(:, shell, 1:multi(shell)), kpt_cart, & + recip_lattice, dnn(shell), lmn, 1, multi(shell), num_kpts, & + seedname, stdout) + do i = 2, kmesh_input%finite_diff_order + multi(kmesh_input%shell_list(i)) = multi(shell) + enddo + enddo + ! re-calculate nntot + kmesh_info%nntot = 0 + do loop_s = 1, num_first_shells + kmesh_info%nntot = kmesh_info%nntot + multi(kmesh_input%shell_list(loop_s)) + enddo + kmesh_info%nntot = kmesh_info%nntot*kmesh_input%finite_diff_order + endif + ! ! Standard routine ! @@ -343,6 +362,22 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti kmesh_info%nncell(2, nkp, nnx) = m kmesh_info%nncell(3, nkp, nnx) = n bk_local(:, nnx, nkp) = vkpp(:) - kpt_cart(:, nkp) + ! check if a new bk is parallel to 1st-order bvectors; if not, exclude + if (kmesh_input%higher_order_simple) then + lpar = .false. + do shell = 1, num_first_shells + do loop_b = 1, multi(shell) + ddelta = dot_product(bk_first(:, shell, loop_b), bk_local(:, nnx, nkp))/ & + sqrt(dot_product(bk_first(:, shell, loop_b), bk_first(:, shell, loop_b))* & + dot_product(bk_local(:, nnx, nkp), bk_local(:, nnx, nkp))) + if (abs(abs(ddelta) - 1.0_dp) < eps6) lpar = .true. + enddo + enddo + if (.not. lpar) then + nnx = nnx - 1 + nnshell(nkp, ndnn) = nnshell(nkp, ndnn) - 1 + endif + endif endif !if we have the right number of neighbours we can exit if (nnshell(nkp, ndnn) == multi(ndnn)) cycle ok @@ -350,7 +385,18 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti enddo ! check to see if too few neighbours here end do ok + end do + if (kmesh_input%higher_order_simple) then + deallocate (bk_first) + if (ierr /= 0) call io_error('Error deallocating bk_first in kmesh_get', stdout, seedname) + endif + nnx = 0 + do loop_s = 1, kmesh_input%num_shells + do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) + nnx = nnx + 1 + wb_local(nnx) = bweight(loop_s) + end do end do !else @@ -1042,7 +1088,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca integer, intent(in) :: multi(kmesh_input%search_shells) ! the number of kpoints in the shell real(kind=dp), intent(in) :: recip_lattice(3, 3) - real(kind=dp), intent(in) ::kpt_cart(:, :) + real(kind=dp), intent(in) :: kpt_cart(:, :) real(kind=dp), intent(in) :: dnn(kmesh_input%search_shells) ! the bvectors real(kind=dp), intent(out) :: bweight(kmesh_input%max_shells_h) @@ -1064,10 +1110,15 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca ! variables for higher-order finite-difference integer, dimension(:, :), allocatable :: num_x, num_y, num_z logical :: bsat - real(kind=dp) :: target(kmesh_input%max_shells_h) - integer :: loop_order, num_of_eqs, num_of_eqs_prev + real(kind=dp) :: target(kmesh_input%max_shells_h), bweight_temp, fact + integer :: loop_order, num_of_eqs, num_of_eqs_prev, finite_diff_order_local, shell_higher target = 0.0_dp; target(1) = 1.0_dp; target(3) = 1.0_dp; target(6) = 1.0_dp + if (kmesh_input%higher_order_simple) then + finite_diff_order_local = 1 !simple algorithm -> find 1st-order b and weights first + else + finite_diff_order_local = kmesh_input%finite_diff_order + endif if (print_output%timing_level > 1) call io_stopwatch('kmesh: shell_automatic', 1, stdout, seedname) @@ -1097,7 +1148,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca end if ! We check that the new shell is not parrallel to an existing shell (cosine=1) - if (kmesh_input%finite_diff_order == 1) then + if (finite_diff_order_local == 1) then lpar = .false. if (kmesh_input%num_shells > 0) then do loop_bn = 1, multi(shell) @@ -1143,17 +1194,17 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca if (ierr /= 0) call io_error('Error allocating singv in kmesh_shell_automatic', stdout, seedname) amat(:, :) = 0.0_dp; umat(:, :) = 0.0_dp; vmat(:, :) = 0.0_dp; smat(:, :) = 0.0_dp; singv(:) = 0.0_dp - num_of_eqs = (1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order) - allocate (num_x(kmesh_input%finite_diff_order, num_of_eqs), stat=ierr) + num_of_eqs = (1 + finite_diff_order_local)*(1 + 2*finite_diff_order_local) + allocate (num_x(finite_diff_order_local, num_of_eqs), stat=ierr) if (ierr /= 0) call io_error('Error allocating num_x in kmesh_shell_automatic', stdout, seedname) - allocate (num_y(kmesh_input%finite_diff_order, num_of_eqs), stat=ierr) + allocate (num_y(finite_diff_order_local, num_of_eqs), stat=ierr) if (ierr /= 0) call io_error('Error allocating num_y in kmesh_shell_automatic', stdout, seedname) - allocate (num_z(kmesh_input%finite_diff_order, num_of_eqs), stat=ierr) + allocate (num_z(finite_diff_order_local, num_of_eqs), stat=ierr) if (ierr /= 0) call io_error('Error allocating num_z in kmesh_shell_automatic', stdout, seedname) !find higher finite-diff weights ! make test suite(compare nnkp files) - do loop_order = 1, kmesh_input%finite_diff_order + do loop_order = 1, finite_diff_order_local call kmesh_get_amat(kmesh_input, amat, bvector, multi, loop_order, & num_x(loop_order, :), num_y(loop_order, :), num_z(loop_order, :)) enddo @@ -1208,7 +1259,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca !check if the conditions including (B1) for finite-difference are satisfied bsat = .true. - do loop_order = 1, kmesh_input%finite_diff_order + do loop_order = 1, finite_diff_order_local call kmesh_check_condition(kmesh_input, bsat, bvector, bweight, multi, loop_order, & num_x(loop_order, :), num_y(loop_order, :), num_z(loop_order, :)) end do @@ -1272,12 +1323,48 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca write (stdout, '(1x,a,i3,a)') 'Unable to satisfy B1 with any of the first ', & kmesh_input%search_shells, ' shells' write (stdout, '(1x,a)') 'Your cell might be very long, or you may have an irregular MP grid' - write (stdout, '(1x,a)') 'Try increasing the parameter search_shells in the win file (default=12)' + write (stdout, '(1x,a)') 'Try increasing the parameter search_shells in the win file (default=36)' write (stdout, *) ' ' end if call io_error('kmesh_get_automatic', stdout, seedname) end if + if (kmesh_input%higher_order_simple) then + ! find the shells containing 2b, 3b, ... , Nb, satisfying the higher-order conditions (using distance) + do shell = 1, kmesh_input%num_shells + loop_order = 2 + do shell_higher = kmesh_input%num_shells + 1, kmesh_input%search_shells + if (abs(dnn(shell_higher) - loop_order*dnn(shell)) < eps5) then + kmesh_input%shell_list(kmesh_input%num_shells*(loop_order - 1) + shell) = shell_higher + loop_order = loop_order + 1 + if (loop_order - 1 == kmesh_input%finite_diff_order) exit + endif + enddo + if (loop_order - 1 /= kmesh_input%finite_diff_order) then + if (print_output%iprint > 0) then + write (stdout, *) ' ' + write (stdout, '(1x,a,a,i3,a)') 'Unable to include all bvectors using the simple algorithm ', & + 'with any of the first ', kmesh_input%search_shells, ' shells' + write (stdout, '(1x,a)') 'Your cell might be very long, or you may have an irregular MP grid' + write (stdout, '(1x,a)') 'Try increasing the parameter search_shells in the win file (default=36)' + write (stdout, *) ' ' + end if + call io_error('kmesh_get_automatic', stdout, seedname) + endif + ! calculate new bweights w_b, w_2b, ..., w_Nb + bweight_temp = bweight(shell) + do loop_i = 1, kmesh_input%finite_diff_order + fact = 1.0_dp/loop_i**2 + do loop_j = 1, kmesh_input%finite_diff_order + if (loop_j == loop_i) cycle + fact = (fact*loop_j**2)/(loop_j**2 - loop_i**2) + enddo + bweight(kmesh_input%num_shells*(loop_i - 1) + shell) = bweight_temp*fact + enddo + enddo + kmesh_input%num_shells = kmesh_input%finite_diff_order*kmesh_input%num_shells + end if + if (print_output%timing_level > 1) call io_stopwatch('kmesh: shell_automatic', 2, stdout, seedname) return diff --git a/src/readwrite.F90 b/src/readwrite.F90 index e1cad86a7..d5f807581 100644 --- a/src/readwrite.F90 +++ b/src/readwrite.F90 @@ -578,6 +578,9 @@ subroutine w90_readwrite_read_kmesh_data(kmesh_input, stdout, seedname) kmesh_input%max_shells_h = n*(4*n**2 + 15*n + 17)/6 kmesh_input%num_nnmax_h = 2*kmesh_input%max_shells_h + kmesh_input%higher_order_simple = .false. + call w90_readwrite_get_keyword(stdout, seedname, 'higher_order_simple', found, l_value=kmesh_input%higher_order_simple) + kmesh_input%tol = 0.000001_dp call w90_readwrite_get_keyword(stdout, seedname, 'kmesh_tol', found, r_value=kmesh_input%tol) if (kmesh_input%tol < 0.0_dp) call io_error('Error: kmesh_tol must be positive', stdout, seedname) diff --git a/src/types.F90 b/src/types.F90 index 1b42a81c8..379849cc6 100644 --- a/src/types.F90 +++ b/src/types.F90 @@ -111,6 +111,8 @@ module w90_types integer :: num_nnmax_h ! 2*n(4n*2 + 15n + 17)/6 integer :: finite_diff_order !! Higher-order of finite-difference formulas + logical :: higher_order_simple + !! A simpler algorithm of determining bvectors logical :: skip_B1_tests !! do not check the B1 condition integer, allocatable :: shell_list(:) From 12279920d0f45724ef1d523f2926a1df594ed25c Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Tue, 8 Mar 2022 17:40:08 +0900 Subject: [PATCH 07/45] test for higher_order_simple --- test-suite/tests/jobconfig | 6 + .../tests/testw90_nnkpt_higher2/.gitignore | 1 + ...hmark.out.default.inp=wannier.win.args=-pp | 281 ++++++++++++++++++ .../tests/testw90_nnkpt_higher2/wannier.win | 47 +++ 4 files changed, 335 insertions(+) create mode 100644 test-suite/tests/testw90_nnkpt_higher2/.gitignore create mode 100644 test-suite/tests/testw90_nnkpt_higher2/benchmark.out.default.inp=wannier.win.args=-pp create mode 100644 test-suite/tests/testw90_nnkpt_higher2/wannier.win diff --git a/test-suite/tests/jobconfig b/test-suite/tests/jobconfig index 421b3db47..67a153b49 100644 --- a/test-suite/tests/jobconfig +++ b/test-suite/tests/jobconfig @@ -104,6 +104,12 @@ program = WANNIER90_NNKP_HIGHER inputs_args = ('wannier.win', '-pp') output = wannier.wout +# Test for the higher-order bvectors and bweights +[testw90_nnkpt_higher2/] +program = WANNIER90_NNKP_HIGHER +inputs_args = ('wannier.win', '-pp') +output = wannier.wout + # Testing symmetry-adapted WFs, from example21, case of As with s and p [testw90_example21_As_sp] program = WANNIER90_WOUT_OK diff --git a/test-suite/tests/testw90_nnkpt_higher2/.gitignore b/test-suite/tests/testw90_nnkpt_higher2/.gitignore new file mode 100644 index 000000000..b0bc2a5ca --- /dev/null +++ b/test-suite/tests/testw90_nnkpt_higher2/.gitignore @@ -0,0 +1 @@ +wannier.nnkp diff --git a/test-suite/tests/testw90_nnkpt_higher2/benchmark.out.default.inp=wannier.win.args=-pp b/test-suite/tests/testw90_nnkpt_higher2/benchmark.out.default.inp=wannier.win.args=-pp new file mode 100644 index 000000000..f4ff6c87d --- /dev/null +++ b/test-suite/tests/testw90_nnkpt_higher2/benchmark.out.default.inp=wannier.win.args=-pp @@ -0,0 +1,281 @@ + + +---------------------------------------------------+ + | | + | WANNIER90 | + | | + +---------------------------------------------------+ + | | + | Welcome to the Maximally-Localized | + | Generalized Wannier Functions code | + | http://www.wannier.org | + | | + | | + | Wannier90 Developer Group: | + | Giovanni Pizzi (EPFL) | + | Valerio Vitale (Cambridge) | + | David Vanderbilt (Rutgers University) | + | Nicola Marzari (EPFL) | + | Ivo Souza (Universidad del Pais Vasco) | + | Arash A. Mostofi (Imperial College London) | + | Jonathan R. Yates (University of Oxford) | + | | + | For the full list of Wannier90 3.x authors, | + | please check the code documentation and the | + | README on the GitHub page of the code | + | | + | | + | Please cite | + | | + | [ref] "Wannier90 as a community code: | + | new features and applications", | + | G. Pizzi et al., J. Phys. Cond. Matt. 32, | + | 165902 (2020). | + | http://doi.org/10.1088/1361-648X/ab51ff | + | | + | in any publications arising from the use of | + | this code. For the method please cite | + | | + | [ref] "Maximally Localized Generalised Wannier | + | Functions for Composite Energy Bands" | + | N. Marzari and D. Vanderbilt | + | Phys. Rev. B 56 12847 (1997) | + | | + | [ref] "Maximally Localized Wannier Functions | + | for Entangled Energy Bands" | + | I. Souza, N. Marzari and D. Vanderbilt | + | Phys. Rev. B 65 035109 (2001) | + | | + | | + | Copyright (c) 1996-2020 | + | The Wannier90 Developer Group and | + | individual contributors | + | | + | Release: 3.1.0 5th March 2020 | + | | + | This program is free software; you can | + | redistribute it and/or modify it under the terms | + | of the GNU General Public License as published by | + | the Free Software Foundation; either version 2 of | + | the License, or (at your option) any later version| + | | + | This program is distributed in the hope that it | + | will be useful, but WITHOUT ANY WARRANTY; without | + | even the implied warranty of MERCHANTABILITY or | + | FITNESS FOR A PARTICULAR PURPOSE. See the GNU | + | General Public License for more details. | + | | + | You should have received a copy of the GNU General| + | Public License along with this program; if not, | + | write to the Free Software Foundation, Inc., | + | 675 Mass Ave, Cambridge, MA 02139, USA. | + | | + +---------------------------------------------------+ + | Execution started on 8Mar2022 at 17:38:22 | + +---------------------------------------------------+ + + ****************************************************************************** + * -> Using CODATA 2006 constant values * + * (http://physics.nist.gov/cuu/Constants/index.html) * + * -> Using Bohr value from CODATA * + ****************************************************************************** + + + Running in serial (with parallel executable) + + ------ + SYSTEM + ------ + + Lattice Vectors (Ang) + a_1 -1.955998 0.000000 1.955998 + a_2 0.000000 1.955998 1.955998 + a_3 -1.955998 1.955998 0.000000 + + Unit Cell Volume: 14.96701 (Ang^3) + + Reciprocal-Space Vectors (Ang^-1) + b_1 -1.606133 -1.606133 1.606133 + b_2 1.606133 1.606133 1.606133 + b_3 -1.606133 1.606133 -1.606133 + + *----------------------------------------------------------------------------* + | Site Fractional Coordinate Cartesian Coordinate (Ang) | + +----------------------------------------------------------------------------+ + | Pt 1 0.00000 0.00000 0.00000 | 0.00000 0.00000 0.00000 | + *----------------------------------------------------------------------------* + ------------ + K-POINT GRID + ------------ + + Grid size = 3 x 3 x 3 Total points = 27 + + + *---------------------------------- MAIN ------------------------------------* + | Number of Wannier Functions : 18 | + | Number of Objective Wannier Functions : 18 | + | Number of input Bloch states : 18 | + | Output verbosity (1=low, 5=high) : 1 | + | Timing Level (1=low, 5=high) : 1 | + | Optimisation (0=memory, 3=speed) : 3 | + | Length Unit : Ang | + | Post-processing setup (write *.nnkp) : T | + | Using Gamma-only branch of algorithms : F | + *----------------------------------------------------------------------------* + *------------------------------- WANNIERISE ---------------------------------* + | Total number of iterations : 100 | + | Number of CG steps before reset : 5 | + | Trial step length for line search : 2.000 | + | Convergence tolerence : 0.100E-09 | + | Convergence window : -1 | + | Iterations between writing output : 1 | + | Iterations between backing up to disk : 100 | + | Write r^2_nm to file : F | + | Write xyz WF centres to file : F | + | Write on-site energies <0n|H|0n> to file : F | + | Use guiding centre to control phases : F | + | Use phases for initial projections : F | + *----------------------------------------------------------------------------* + Time to read parameters 0.188 (sec) + + *---------------------------------- K-MESH ----------------------------------* + +----------------------------------------------------------------------------+ + | Distance to Nearest-Neighbour Shells | + | ------------------------------------ | + | Shell Distance (Ang^-1) Multiplicity | + | ----- ----------------- ------------ | + | 1 0.927301 8 | + | 2 1.070755 6 | + | 3 1.514277 12 | + | 4 1.775647 24 | + | 5 1.854603 8 | + | 6 2.141511 6 | + | 7 2.333657 24 | + | 8 2.394282 24 | + | 9 2.622804 24 | + | 10 2.781904 32 | + | 11 3.028554 12 | + | 12 3.167337 48 | + | 13 3.212266 30 | + | 14 3.386026 24 | + | 15 3.510706 24 | + | 16 3.551294 24 | + | 17 3.709205 8 | + | 18 3.823361 48 | + | 19 3.860663 24 | + | 20 4.006400 48 | + | 21 4.112314 72 | + | 22 4.283022 6 | + | 23 4.382255 24 | + | 24 4.414838 48 | + | 25 4.542830 36 | + | 26 4.636507 56 | + | 27 4.667315 24 | + | 28 4.788564 24 | + | 29 4.877523 72 | + | 30 4.906818 48 | + | 31 5.022288 24 | + | 32 5.107178 48 | + | 33 5.245609 24 | + | 34 5.326941 72 | + | 35 5.353777 30 | + | 36 5.459803 72 | + +----------------------------------------------------------------------------+ + | The b-vectors are chosen automatically | + | The following shells are used: 1, 5, 10, 17, 26 | + +----------------------------------------------------------------------------+ + | Shell # Nearest-Neighbours | + | ----- -------------------- | + | 1 8 | + | 5 8 | + | 10 8 | + | 17 8 | + | 26 8 | + +----------------------------------------------------------------------------+ + | Completeness relation is fully satisfied [Eq. (B1), PRB 56, 12847 (1997)] | + | Completeness relations for higher-order are fully satisfied | + +----------------------------------------------------------------------------+ + | b_k Vectors (Ang^-1) and Weights (Ang^2) | + | ---------------------------------------- | + | No. b_k(x) b_k(y) b_k(z) w_b | + | --- -------------------------------- -------- | + | 1 -0.535378 0.535378 -0.535378 0.726839 | + | 2 0.535378 0.535378 0.535378 0.726839 | + | 3 -0.535378 -0.535378 0.535378 0.726839 | + | 4 -0.535378 0.535378 0.535378 0.726839 | + | 5 0.535378 -0.535378 0.535378 0.726839 | + | 6 -0.535378 -0.535378 -0.535378 0.726839 | + | 7 0.535378 0.535378 -0.535378 0.726839 | + | 8 0.535378 -0.535378 -0.535378 0.726839 | + | 9 -1.070755 1.070755 -1.070755 -0.103834 | + | 10 1.070755 1.070755 1.070755 -0.103834 | + | 11 -1.070755 -1.070755 1.070755 -0.103834 | + | 12 -1.070755 1.070755 1.070755 -0.103834 | + | 13 1.070755 -1.070755 1.070755 -0.103834 | + | 14 -1.070755 -1.070755 -1.070755 -0.103834 | + | 15 1.070755 1.070755 -1.070755 -0.103834 | + | 16 1.070755 -1.070755 -1.070755 -0.103834 | + | 17 -1.606133 1.606133 1.606133 0.017306 | + | 18 -1.606133 -1.606133 1.606133 0.017306 | + | 19 1.606133 1.606133 1.606133 0.017306 | + | 20 -1.606133 1.606133 -1.606133 0.017306 | + | 21 1.606133 -1.606133 1.606133 0.017306 | + | 22 -1.606133 -1.606133 -1.606133 0.017306 | + | 23 1.606133 1.606133 -1.606133 0.017306 | + | 24 1.606133 -1.606133 -1.606133 0.017306 | + | 25 -2.141511 2.141511 2.141511 -0.002163 | + | 26 -2.141511 -2.141511 2.141511 -0.002163 | + | 27 2.141511 2.141511 2.141511 -0.002163 | + | 28 -2.141511 2.141511 -2.141511 -0.002163 | + | 29 2.141511 -2.141511 2.141511 -0.002163 | + | 30 -2.141511 -2.141511 -2.141511 -0.002163 | + | 31 2.141511 2.141511 -2.141511 -0.002163 | + | 32 2.141511 -2.141511 -2.141511 -0.002163 | + | 33 -2.676888 2.676888 2.676888 0.000138 | + | 34 -2.676888 -2.676888 2.676888 0.000138 | + | 35 2.676888 2.676888 2.676888 0.000138 | + | 36 -2.676888 2.676888 -2.676888 0.000138 | + | 37 2.676888 -2.676888 2.676888 0.000138 | + | 38 -2.676888 -2.676888 -2.676888 0.000138 | + | 39 2.676888 2.676888 -2.676888 0.000138 | + | 40 2.676888 -2.676888 -2.676888 0.000138 | + +----------------------------------------------------------------------------+ + | b_k Directions (Ang^-1) | + | ----------------------- | + | No. x y z | + | --- -------------------------------- | + | 1 -0.535378 0.535378 -0.535378 | + | 2 0.535378 0.535378 0.535378 | + | 3 -0.535378 -0.535378 0.535378 | + | 4 -0.535378 0.535378 0.535378 | + | 5 -1.070755 1.070755 -1.070755 | + | 6 1.070755 1.070755 1.070755 | + | 7 -1.070755 -1.070755 1.070755 | + | 8 -1.070755 1.070755 1.070755 | + | 9 -1.606133 1.606133 1.606133 | + | 10 -1.606133 -1.606133 1.606133 | + | 11 1.606133 1.606133 1.606133 | + | 12 -1.606133 1.606133 -1.606133 | + | 13 -2.141511 2.141511 2.141511 | + | 14 -2.141511 -2.141511 2.141511 | + | 15 2.141511 2.141511 2.141511 | + | 16 -2.141511 2.141511 -2.141511 | + | 17 -2.676888 2.676888 2.676888 | + | 18 -2.676888 -2.676888 2.676888 | + | 19 2.676888 2.676888 2.676888 | + | 20 -2.676888 2.676888 -2.676888 | + +----------------------------------------------------------------------------+ + + Time to get kmesh 0.391 (sec) + *============================================================================* + | MEMORY ESTIMATE | + | Maximum RAM allocated during each phase of the calculation | + *============================================================================* + | Wannierise: 12.03 Mb | + | plot_wannier: 12.03 Mb | + *----------------------------------------------------------------------------* + + Starting a new Wannier90 calculation ... + + Time to write kmesh 0.578 (sec) + + Exiting... wannier.nnkp written. diff --git a/test-suite/tests/testw90_nnkpt_higher2/wannier.win b/test-suite/tests/testw90_nnkpt_higher2/wannier.win new file mode 100644 index 000000000..d74ccf6b3 --- /dev/null +++ b/test-suite/tests/testw90_nnkpt_higher2/wannier.win @@ -0,0 +1,47 @@ +num_wann = 18 +finite_diff_order = 5 +higher_order_simple = true +kmesh_tol = 0.00001 + +begin unit_cell_cart +bohr +-3.6963 0.000 3.6963 +0.000 3.6963 3.6963 +-3.6963 3.6963 0.000 +end unit_cell_cart + +begin atoms_frac +Pt 0.000 0.000 0.000 +end atoms_frac + +mp_grid = 3 3 3 + +begin kpoints + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.33333333 + 0.00000000 0.00000000 0.66666667 + 0.00000000 0.33333333 0.00000000 + 0.00000000 0.33333333 0.33333333 + 0.00000000 0.33333333 0.66666667 + 0.00000000 0.66666667 0.00000000 + 0.00000000 0.66666667 0.33333333 + 0.00000000 0.66666667 0.66666667 + 0.33333333 0.00000000 0.00000000 + 0.33333333 0.00000000 0.33333333 + 0.33333333 0.00000000 0.66666667 + 0.33333333 0.33333333 0.00000000 + 0.33333333 0.33333333 0.33333333 + 0.33333333 0.33333333 0.66666667 + 0.33333333 0.66666667 0.00000000 + 0.33333333 0.66666667 0.33333333 + 0.33333333 0.66666667 0.66666667 + 0.66666667 0.00000000 0.00000000 + 0.66666667 0.00000000 0.33333333 + 0.66666667 0.00000000 0.66666667 + 0.66666667 0.33333333 0.00000000 + 0.66666667 0.33333333 0.33333333 + 0.66666667 0.33333333 0.66666667 + 0.66666667 0.66666667 0.00000000 + 0.66666667 0.66666667 0.33333333 + 0.66666667 0.66666667 0.66666667 +end kpoints \ No newline at end of file From 89cd8d0ec17698ce153a44d7a7b58229f42be144 Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Fri, 11 Mar 2022 16:18:32 +0900 Subject: [PATCH 08/45] bugfix for finite_diff_order = 1 --- src/kmesh.F90 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 026e848c5..4f06cf819 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -1340,7 +1340,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca if (loop_order - 1 == kmesh_input%finite_diff_order) exit endif enddo - if (loop_order - 1 /= kmesh_input%finite_diff_order) then + if (kmesh_input%finite_diff_order /= 1 .and. loop_order - 1 /= kmesh_input%finite_diff_order) then if (print_output%iprint > 0) then write (stdout, *) ' ' write (stdout, '(1x,a,a,i3,a)') 'Unable to include all bvectors using the simple algorithm ', & From 7e4a1dddd8fb3e5dd29a52eaf0998917752fc510 Mon Sep 17 00:00:00 2001 From: Jae-Mo Lihm Date: Tue, 15 Mar 2022 11:37:55 +0900 Subject: [PATCH 09/45] Make bk and wb have the correct size for simple higher_order --- src/kmesh.F90 | 44 ++++++++++++++++++++++---------------------- 1 file changed, 22 insertions(+), 22 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 4f06cf819..7b228aa0f 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -289,6 +289,28 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti Call io_error('kmesh_get: something wrong, found too many nearest neighbours', stdout, seedname) end if + ! higher-order simple algorithm: only take higher-order bvectors parallel to the 1st-order bvectors + if (kmesh_input%higher_order_simple) then + num_first_shells = kmesh_input%num_shells / kmesh_input%finite_diff_order + allocate (bk_first(3, num_first_shells, maxval(multi(1:num_first_shells))), stat=ierr) + if (ierr /= 0) call io_error('Error allocating bk_first in kmesh_get', stdout, seedname) + ! save the 1st-order bvectors + do shell = 1, num_first_shells + call kmesh_get_bvectors(kmesh_input, print_output, bk_first(:, shell, 1:multi(shell)), kpt_cart, & + recip_lattice, dnn(shell), lmn, 1, multi(shell), num_kpts, & + seedname, stdout) + do i = 2, kmesh_input%finite_diff_order + multi(kmesh_input%shell_list(i)) = multi(shell) + enddo + enddo + ! re-calculate nntot + kmesh_info%nntot = 0 + do loop_s = 1, num_first_shells + kmesh_info%nntot = kmesh_info%nntot + multi(kmesh_input%shell_list(loop_s)) + enddo + kmesh_info%nntot = kmesh_info%nntot * kmesh_input%finite_diff_order + endif + allocate (kmesh_info%nnlist(num_kpts, kmesh_info%nntot), stat=ierr) if (ierr /= 0) call io_error('Error in allocating nnlist in kmesh_get', stdout, seedname) allocate (kmesh_info%neigh(num_kpts, kmesh_info%nntot/2), stat=ierr) @@ -317,28 +339,6 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti endif !if (index(print_output%devel_flag, 'kmesh_degen') == 0) then - ! higher-order simple algorithm: only take higher-order bvectors parallel to the 1st-order bvectors - if (kmesh_input%higher_order_simple) then - num_first_shells = kmesh_input%num_shells/kmesh_input%finite_diff_order - allocate (bk_first(3, num_first_shells, maxval(multi(1:num_first_shells))), stat=ierr) - if (ierr /= 0) call io_error('Error allocating bk_first in kmesh_get', stdout, seedname) - ! save the 1st-order bvectors - do shell = 1, num_first_shells - call kmesh_get_bvectors(kmesh_input, print_output, bk_first(:, shell, 1:multi(shell)), kpt_cart, & - recip_lattice, dnn(shell), lmn, 1, multi(shell), num_kpts, & - seedname, stdout) - do i = 2, kmesh_input%finite_diff_order - multi(kmesh_input%shell_list(i)) = multi(shell) - enddo - enddo - ! re-calculate nntot - kmesh_info%nntot = 0 - do loop_s = 1, num_first_shells - kmesh_info%nntot = kmesh_info%nntot + multi(kmesh_input%shell_list(loop_s)) - enddo - kmesh_info%nntot = kmesh_info%nntot*kmesh_input%finite_diff_order - endif - ! ! Standard routine ! From fe9d6baa865742716cafdd49f686a6b427d09259 Mon Sep 17 00:00:00 2001 From: Jae-Mo Lihm Date: Thu, 17 Mar 2022 10:49:36 +0900 Subject: [PATCH 10/45] Make test parser work with higher_order, simplify wout parser --- test-suite/tools/parsers/parse_wout.py | 50 ++++++++++++++----------- test-suite/tools/parsers/parse_wpout.py | 34 ++++++----------- 2 files changed, 40 insertions(+), 44 deletions(-) diff --git a/test-suite/tools/parsers/parse_wout.py b/test-suite/tools/parsers/parse_wout.py index 025123ed8..6c039aa46 100644 --- a/test-suite/tools/parsers/parse_wout.py +++ b/test-suite/tools/parsers/parse_wout.py @@ -16,16 +16,6 @@ # 2: multiplicity near_neigh_re = re.compile("^\s*\|\s+(\d+)\s+([\d\.]+)\s*(\d+)\s*") - -# Match the lines describing the b_k vectors for the completeness relation -# Groups: -# 0: Index -# 1: b_k(x) -# 2: b_k(y) -# 3: b_k(z) -# 4: w_b -completeness_re = re.compile("^\s*\|\s+(\d+)\s+([\d\.-]+)\s+([\d\.-]+)\s+([\d\.-]+)\s*([\d\.]+)\s*") - # Match the 'WF centre and spread' line. # Groups: # 0: idx @@ -81,20 +71,36 @@ def parse(fname): continue ############################################################### - # Completeness relation - # Start from the sixth line after - # 'Completeness relation is fully satisfied', + # b_k vectors + # Start from the fourth line after + # 'b_k Vectors (Ang^-1) and Weights (Ang^2)', # then stop at the line with ------------------ - if "Completeness relation is fully satisfied" in l: - for l2 in lines[lno+6:]: # Skip 6 lines - match = completeness_re.search(l2) - if not match or '--------------------------------------' in l2: + if "b_k Vectors (Ang^-1) and Weights (Ang^2)" in l: + for l2 in lines[lno+4:]: # Skip 6 lines + data = l2.split() + if len(data) != 7 or '-' * 76 in l2: + break + _, bkx, bky, bkz, bkw = data[1:-1] + retdict["b_k_x"].append(float(bkx)) + retdict["b_k_y"].append(float(bky)) + retdict["b_k_z"].append(float(bkz)) + retdict["w_b"].append(float(bkw)) + continue + + ############################################################### + # b_k directions + # Start from the fourth line after + # 'b_k Directions (Ang^-1)', + # then stop at the line with ------------------ + if "b_k Directions (Ang^-1)" in l: + for l2 in lines[lno+4:]: # Skip 6 lines + data = l2.split() + if len(data) != 6 or '-' * 76 in l2: break - _, bkx, bky, bkz, bkw = match.groups() - retdict["completeness_x"].append(float(bkx)) - retdict["completeness_y"].append(float(bky)) - retdict["completeness_z"].append(float(bkz)) - retdict["completeness_weight"].append(float(bkw)) + _, bkx, bky, bkz = data[1:-1] + retdict["b_k_direction_x"].append(float(bkx)) + retdict["b_k_direction_y"].append(float(bky)) + retdict["b_k_direction_z"].append(float(bkz)) continue ############################################################### diff --git a/test-suite/tools/parsers/parse_wpout.py b/test-suite/tools/parsers/parse_wpout.py index 80a161f07..f0ffee11a 100644 --- a/test-suite/tools/parsers/parse_wpout.py +++ b/test-suite/tools/parsers/parse_wpout.py @@ -15,16 +15,6 @@ # 2: multiplicity near_neigh_re = re.compile("^\s*\|\s+(\d+)\s+([\d\.]+)\s*(\d+)\s*") - -# Match the lines describing the b_k vectors for the completeness relation -# Groups: -# 0: Index -# 1: b_k(x) -# 2: b_k(y) -# 3: b_k(z) -# 4: w_b -completeness_re = re.compile("^\s*\|\s+(\d+)\s+([\d\.-]+)\s+([\d\.-]+)\s+([\d\.-]+)\s*([\d\.]+)\s*") - # Match the 'WF centre and spread' line. # Groups: # 0: idx @@ -148,20 +138,20 @@ def parse(fname): continue ############################################################### - # Completeness relation - # Start from the sixth line after - # 'Completeness relation is fully satisfied', + # b_k vectors + # Start from the fourth line after + # 'b_k Vectors (Ang^-1) and Weights (Ang^2)', # then stop at the line with ------------------ - if "Completeness relation is fully satisfied" in l: - for l2 in lines[lno+6:]: # Skip 6 lines - match = completeness_re.search(l2) - if not match or '--------------------------------------' in l2: + if "b_k Vectors (Ang^-1) and Weights (Ang^2)" in l: + for l2 in lines[lno+4:]: # Skip 6 lines + data = l2.split() + if len(data) != 7 or '-' * 76 in l2: break - _, bkx, bky, bkz, bkw = match.groups() - retdict["completeness_x"].append(float(bkx)) - retdict["completeness_y"].append(float(bky)) - retdict["completeness_z"].append(float(bkz)) - retdict["completeness_weight"].append(float(bkw)) + _, bkx, bky, bkz, bkw = data[1:-1] + retdict["b_k_x"].append(float(bkx)) + retdict["b_k_y"].append(float(bky)) + retdict["b_k_z"].append(float(bkz)) + retdict["w_b"].append(float(bkw)) continue ############################################################### From 8d333f4ff2b25b067699f7b4e7cda5852205ac3c Mon Sep 17 00:00:00 2001 From: Jae-Mo Lihm Date: Thu, 17 Mar 2022 10:50:12 +0900 Subject: [PATCH 11/45] Add category for test --- test-suite/tests/jobconfig | 1 + 1 file changed, 1 insertion(+) diff --git a/test-suite/tests/jobconfig b/test-suite/tests/jobconfig index 67a153b49..96a787498 100644 --- a/test-suite/tests/jobconfig +++ b/test-suite/tests/jobconfig @@ -447,3 +447,4 @@ wannier_only = testw90_* postw90_only = testpostw90_* all = wannier_only postw90_only default = all +higher = testw90_nnkpt_higher* From 05a93a6a29d67c1e45e3e040133e2fd0517c9b9e Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Fri, 25 Mar 2022 10:53:12 +0900 Subject: [PATCH 12/45] avoid an unnecessary loop statement --- src/kmesh.F90 | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 7b228aa0f..aff56502f 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -291,7 +291,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! higher-order simple algorithm: only take higher-order bvectors parallel to the 1st-order bvectors if (kmesh_input%higher_order_simple) then - num_first_shells = kmesh_input%num_shells / kmesh_input%finite_diff_order + num_first_shells = kmesh_input%num_shells/kmesh_input%finite_diff_order allocate (bk_first(3, num_first_shells, maxval(multi(1:num_first_shells))), stat=ierr) if (ierr /= 0) call io_error('Error allocating bk_first in kmesh_get', stdout, seedname) ! save the 1st-order bvectors @@ -308,7 +308,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti do loop_s = 1, num_first_shells kmesh_info%nntot = kmesh_info%nntot + multi(kmesh_input%shell_list(loop_s)) enddo - kmesh_info%nntot = kmesh_info%nntot * kmesh_input%finite_diff_order + kmesh_info%nntot = kmesh_info%nntot*kmesh_input%finite_diff_order endif allocate (kmesh_info%nnlist(num_kpts, kmesh_info%nntot), stat=ierr) @@ -1329,7 +1329,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca call io_error('kmesh_get_automatic', stdout, seedname) end if - if (kmesh_input%higher_order_simple) then + if (kmesh_input%higher_order_simple .and. kmesh_input%finite_diff_order > 1) then ! find the shells containing 2b, 3b, ... , Nb, satisfying the higher-order conditions (using distance) do shell = 1, kmesh_input%num_shells loop_order = 2 From 6ebb98933f72b926fd77bcb430b2e6d85108c675 Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Tue, 29 Mar 2022 09:28:16 +0900 Subject: [PATCH 13/45] bugfix for num_first_shells /= 1 cases --- src/kmesh.F90 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index aff56502f..9428f0686 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -300,7 +300,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti recip_lattice, dnn(shell), lmn, 1, multi(shell), num_kpts, & seedname, stdout) do i = 2, kmesh_input%finite_diff_order - multi(kmesh_input%shell_list(i)) = multi(shell) + multi(kmesh_input%shell_list(num_first_shells*(i - 1) + shell)) = multi(shell) enddo enddo ! re-calculate nntot From dc9c6091271776e28368b76da49fcae31ae81a45 Mon Sep 17 00:00:00 2001 From: Kim Minsoo Date: Mon, 25 Apr 2022 15:37:00 +0900 Subject: [PATCH 14/45] More digits to write Wannier centres and spreads --- src/wannierise.F90 | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/wannierise.F90 b/src/wannierise.F90 index 1f63be42a..83099d476 100644 --- a/src/wannierise.F90 +++ b/src/wannierise.F90 @@ -960,10 +960,10 @@ subroutine wann_main(atom_data, dis_manifold, exclude_bands, ham_logical, kmesh_ return 1000 format(2x, 'WF centre and spread', & -& i5, 2x, '(', f10.6, ',', f10.6, ',', f10.6, ' )', f15.8) +& i5, 2x, '(', f10.15, ',', f10.15, ',', f10.15, ' )', f15.15) 1001 format(2x, 'Sum of centres and spreads', & -& 1x, '(', f10.6, ',', f10.6, ',', f10.6, ' )', f15.8) +& 1x, '(', f10.15, ',', f10.15, ',', f10.15, ' )', f15.15) contains From ed346ac01241d3b1a145a13837abb1a2ba400809 Mon Sep 17 00:00:00 2001 From: Kim Minsoo Date: Mon, 25 Apr 2022 15:41:19 +0900 Subject: [PATCH 15/45] More spaces to write nnkpts in .nnkp files --- src/kmesh.F90 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 9428f0686..d095d6021 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -859,7 +859,7 @@ subroutine kmesh_write(exclude_bands, kmesh_info, proj_input, print_output, kpt_ write (nnkpout, '(i4)') kmesh_info%nntot do nkp = 1, num_kpts do nn = 1, kmesh_info%nntot - write (nnkpout, '(2i6,3x,3i4)') & + write (nnkpout, '(2i8,3x,3i4)') & nkp, kmesh_info%nnlist(nkp, nn), (kmesh_info%nncell(i, nkp, nn), i=1, 3) end do end do From 6b00dcb9c392bf34530fe7263cf701973982cbdf Mon Sep 17 00:00:00 2001 From: manxkim Date: Tue, 26 Apr 2022 11:35:00 +0900 Subject: [PATCH 16/45] fw.m, w must be greater than m --- src/wannierise.F90 | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/wannierise.F90 b/src/wannierise.F90 index 83099d476..8c6142277 100644 --- a/src/wannierise.F90 +++ b/src/wannierise.F90 @@ -960,10 +960,10 @@ subroutine wann_main(atom_data, dis_manifold, exclude_bands, ham_logical, kmesh_ return 1000 format(2x, 'WF centre and spread', & -& i5, 2x, '(', f10.15, ',', f10.15, ',', f10.15, ' )', f15.15) +& i5, 2x, '(', f20.15, ',', f20.15, ',', f20.15, ' )', f20.15) 1001 format(2x, 'Sum of centres and spreads', & -& 1x, '(', f10.15, ',', f10.15, ',', f10.15, ' )', f15.15) +& 1x, '(', f20.15, ',', f20.15, ',', f20.15, ' )', f20.15) contains From 00efea46195f5e97fd815472c8354f47aeae068f Mon Sep 17 00:00:00 2001 From: manxkim Date: Tue, 26 Apr 2022 16:58:39 +0900 Subject: [PATCH 17/45] mdfcation of criteria for B1 condition for simple algo. --- src/kmesh.F90 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index d095d6021..8f2cc33b6 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -1334,7 +1334,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca do shell = 1, kmesh_input%num_shells loop_order = 2 do shell_higher = kmesh_input%num_shells + 1, kmesh_input%search_shells - if (abs(dnn(shell_higher) - loop_order*dnn(shell)) < eps5) then + if (dnn(shell_higher)/loop_order/dnn(shell) < eps5) then kmesh_input%shell_list(kmesh_input%num_shells*(loop_order - 1) + shell) = shell_higher loop_order = loop_order + 1 if (loop_order - 1 == kmesh_input%finite_diff_order) exit From 0990fad3847ab16d58eb1320605a6739e8affaca Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Thu, 28 Apr 2022 16:22:43 +0900 Subject: [PATCH 18/45] Now no need to check all shells for simple algo. --- src/kmesh.F90 | 233 +++++++++++++++++++++++++++++----------------- src/readwrite.F90 | 4 +- src/types.F90 | 1 + 3 files changed, 153 insertions(+), 85 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 8f2cc33b6..f384d9b79 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -290,24 +290,31 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti end if ! higher-order simple algorithm: only take higher-order bvectors parallel to the 1st-order bvectors + !if (kmesh_input%higher_order_simple) then + ! num_first_shells = kmesh_input%num_shells/kmesh_input%finite_diff_order + ! allocate (bk_first(3, num_first_shells, maxval(multi(1:num_first_shells))), stat=ierr) + ! if (ierr /= 0) call io_error('Error allocating bk_first in kmesh_get', stdout, seedname) + ! ! save the 1st-order bvectors + ! do shell = 1, num_first_shells + ! call kmesh_get_bvectors(kmesh_input, print_output, bk_first(:, shell, 1:multi(shell)), kpt_cart, & + ! recip_lattice, dnn(shell), lmn, 1, multi(shell), num_kpts, & + ! seedname, stdout) + ! do i = 2, kmesh_input%finite_diff_order + ! multi(kmesh_input%shell_list(num_first_shells*(i - 1) + shell)) = multi(shell) + ! enddo + ! enddo + ! ! re-calculate nntot + ! kmesh_info%nntot = 0 + ! do loop_s = 1, num_first_shells + ! kmesh_info%nntot = kmesh_info%nntot + multi(kmesh_input%shell_list(loop_s)) + ! enddo + ! kmesh_info%nntot = kmesh_info%nntot*kmesh_input%finite_diff_order + !endif + + ! higher-order simple algorithm: include 2b, 3b, ..., Nb shells, and modify bweights if (kmesh_input%higher_order_simple) then - num_first_shells = kmesh_input%num_shells/kmesh_input%finite_diff_order - allocate (bk_first(3, num_first_shells, maxval(multi(1:num_first_shells))), stat=ierr) - if (ierr /= 0) call io_error('Error allocating bk_first in kmesh_get', stdout, seedname) - ! save the 1st-order bvectors - do shell = 1, num_first_shells - call kmesh_get_bvectors(kmesh_input, print_output, bk_first(:, shell, 1:multi(shell)), kpt_cart, & - recip_lattice, dnn(shell), lmn, 1, multi(shell), num_kpts, & - seedname, stdout) - do i = 2, kmesh_input%finite_diff_order - multi(kmesh_input%shell_list(num_first_shells*(i - 1) + shell)) = multi(shell) - enddo - enddo - ! re-calculate nntot - kmesh_info%nntot = 0 - do loop_s = 1, num_first_shells - kmesh_info%nntot = kmesh_info%nntot + multi(kmesh_input%shell_list(loop_s)) - enddo + ! update num_shells, nntot, shell_list, bweight, dnn(distance to shells) and multi + call kmesh_shell_simple_reconstruct(kmesh_input, multi, dnn, bweight) kmesh_info%nntot = kmesh_info%nntot*kmesh_input%finite_diff_order endif @@ -363,21 +370,21 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti kmesh_info%nncell(3, nkp, nnx) = n bk_local(:, nnx, nkp) = vkpp(:) - kpt_cart(:, nkp) ! check if a new bk is parallel to 1st-order bvectors; if not, exclude - if (kmesh_input%higher_order_simple) then - lpar = .false. - do shell = 1, num_first_shells - do loop_b = 1, multi(shell) - ddelta = dot_product(bk_first(:, shell, loop_b), bk_local(:, nnx, nkp))/ & - sqrt(dot_product(bk_first(:, shell, loop_b), bk_first(:, shell, loop_b))* & - dot_product(bk_local(:, nnx, nkp), bk_local(:, nnx, nkp))) - if (abs(abs(ddelta) - 1.0_dp) < eps6) lpar = .true. - enddo - enddo - if (.not. lpar) then - nnx = nnx - 1 - nnshell(nkp, ndnn) = nnshell(nkp, ndnn) - 1 - endif - endif + !if (kmesh_input%higher_order_simple) then + ! lpar = .false. + ! do shell = 1, num_first_shells + ! do loop_b = 1, multi(shell) + ! ddelta = dot_product(bk_first(:, shell, loop_b), bk_local(:, nnx, nkp))/ & + ! sqrt(dot_product(bk_first(:, shell, loop_b), bk_first(:, shell, loop_b))* & + ! dot_product(bk_local(:, nnx, nkp), bk_local(:, nnx, nkp))) + ! if (abs(abs(ddelta) - 1.0_dp) < eps6) lpar = .true. + ! enddo + ! enddo + ! if (.not. lpar) then + ! nnx = nnx - 1 + ! nnshell(nkp, ndnn) = nnshell(nkp, ndnn) - 1 + ! endif + !endif endif !if we have the right number of neighbours we can exit if (nnshell(nkp, ndnn) == multi(ndnn)) cycle ok @@ -386,11 +393,10 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! check to see if too few neighbours here end do ok end do - if (kmesh_input%higher_order_simple) then - deallocate (bk_first) - if (ierr /= 0) call io_error('Error deallocating bk_first in kmesh_get', stdout, seedname) - endif - + !if (kmesh_input%higher_order_simple) then + ! deallocate (bk_first) + ! if (ierr /= 0) call io_error('Error deallocating bk_first in kmesh_get', stdout, seedname) + !endif nnx = 0 do loop_s = 1, kmesh_input%num_shells do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) @@ -470,6 +476,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti if (.not. kmesh_input%skip_B1_tests) then do nkp = 1, num_kpts do i = 1, kmesh_input%finite_diff_order + if (kmesh_input%higher_order_simple .and. i > 1) exit do j = 1, (1 + i)*(1 + 2*i) ! separate cartesian components do l = 0, 2*i @@ -509,7 +516,9 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti if (print_output%iprint > 0) then write (stdout, '(1x,a)') '| Completeness relation is fully satisfied [Eq. (B1), PRB 56, 12847 (1997)] |' - write (stdout, '(1x,a)') '| Completeness relations for higher-order are fully satisfied |' + if (.not. kmesh_input%higher_order_simple) then + write (stdout, '(1x,a)') '| Completeness relations for higher-order are fully satisfied |' + endif write (stdout, '(1x,"+",76("-"),"+")') endif @@ -1099,7 +1108,8 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca real(kind=dp), dimension(:), allocatable :: singv, tmp1, tmp2, tmp3 real(kind=dp), dimension(:, :), allocatable :: amat, umat, vmat, smat, tmp0 - real(kind=dp) :: work((kmesh_input%max_shells_h)*10) + real(kind=dp) :: target(kmesh_input%max_shells_aux) + real(kind=dp) :: work((kmesh_input%max_shells_aux)*10) !real(kind=dp), parameter :: target(6) = (/1.0_dp, 1.0_dp, 1.0_dp, 0.0_dp, 0.0_dp, 0.0_dp/) logical :: lpar integer :: loop_i, loop_j, loop_bn, loop_b, loop_s, info, cur_shell, ierr @@ -1110,15 +1120,15 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca ! variables for higher-order finite-difference integer, dimension(:, :), allocatable :: num_x, num_y, num_z logical :: bsat - real(kind=dp) :: target(kmesh_input%max_shells_h), bweight_temp, fact + real(kind=dp) :: bweight_temp, fact integer :: loop_order, num_of_eqs, num_of_eqs_prev, finite_diff_order_local, shell_higher - target = 0.0_dp; target(1) = 1.0_dp; target(3) = 1.0_dp; target(6) = 1.0_dp if (kmesh_input%higher_order_simple) then - finite_diff_order_local = 1 !simple algorithm -> find 1st-order b and weights first + finite_diff_order_local = 1 !simple algorithm -> find 1st-order b and weights first in this subroutine else finite_diff_order_local = kmesh_input%finite_diff_order endif + target = 0.0_dp; target(1) = 1.0_dp; target(3) = 1.0_dp; target(6) = 1.0_dp if (print_output%timing_level > 1) call io_stopwatch('kmesh: shell_automatic', 1, stdout, seedname) @@ -1174,21 +1184,21 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca kmesh_input%num_shells = kmesh_input%num_shells + 1 kmesh_input%shell_list(kmesh_input%num_shells) = shell - allocate (tmp0(kmesh_input%max_shells_h, kmesh_input%max_shells_h), stat=ierr) + allocate (tmp0(kmesh_input%max_shells_aux, kmesh_input%max_shells_aux), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (tmp1(kmesh_input%max_shells_h), stat=ierr) + allocate (tmp1(kmesh_input%max_shells_aux), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) allocate (tmp2(kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) allocate (tmp3(kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (amat(kmesh_input%max_shells_h, kmesh_input%num_shells), stat=ierr) + allocate (amat(kmesh_input%max_shells_aux, kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating amat in kmesh_shell_automatic', stdout, seedname) - allocate (umat(kmesh_input%max_shells_h, kmesh_input%max_shells_h), stat=ierr) + allocate (umat(kmesh_input%max_shells_aux, kmesh_input%max_shells_aux), stat=ierr) if (ierr /= 0) call io_error('Error allocating umat in kmesh_shell_automatic', stdout, seedname) allocate (vmat(kmesh_input%num_shells, kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating vmat in kmesh_shell_automatic', stdout, seedname) - allocate (smat(kmesh_input%num_shells, kmesh_input%max_shells_h), stat=ierr) + allocate (smat(kmesh_input%num_shells, kmesh_input%max_shells_aux), stat=ierr) if (ierr /= 0) call io_error('Error allocating smat in kmesh_shell_automatic', stdout, seedname) allocate (singv(kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating singv in kmesh_shell_automatic', stdout, seedname) @@ -1210,9 +1220,9 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca enddo info = 0 - call dgesvd('A', 'A', kmesh_input%max_shells_h, kmesh_input%num_shells, amat, & - kmesh_input%max_shells_h, singv, umat, & - kmesh_input%max_shells_h, vmat, kmesh_input%num_shells, work, kmesh_input%max_shells_h*10, info) + call dgesvd('A', 'A', kmesh_input%max_shells_aux, kmesh_input%num_shells, amat, & + kmesh_input%max_shells_aux, singv, umat, & + kmesh_input%max_shells_aux, vmat, kmesh_input%num_shells, work, kmesh_input%max_shells_aux*10, info) if (info < 0) then if (print_output%iprint > 0) then write (stdout, '(1x,a,1x,I1,1x,a)') 'kmesh_shell_automatic: Argument', abs(info), & @@ -1329,47 +1339,102 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca call io_error('kmesh_get_automatic', stdout, seedname) end if - if (kmesh_input%higher_order_simple .and. kmesh_input%finite_diff_order > 1) then - ! find the shells containing 2b, 3b, ... , Nb, satisfying the higher-order conditions (using distance) + !if (kmesh_input%higher_order_simple .and. kmesh_input%finite_diff_order > 1) then + ! ! find the shells containing 2b, 3b, ... , Nb, satisfying the higher-order conditions (using distance) + ! write(stdout,*) "shell ", "shell_higher ", "loop_order ", "dnn(shell) ", "dnn(shell_higher) ", & + ! "abs(dnn(shell_higher)- loop_order*dnn(shell)) < eps5" + ! do shell = 1, kmesh_input%num_shells + ! loop_order = 2 + ! do shell_higher = kmesh_input%num_shells + 1, kmesh_input%search_shells + ! !if (dnn(shell_higher)/loop_order/dnn(shell) < eps5) then + ! write(stdout,*) shell, shell_higher, loop_order, dnn(shell), dnn(shell_higher), & + ! abs(dnn(shell_higher)- loop_order*dnn(shell)) < eps5 + ! if (abs(dnn(shell_higher)- loop_order*dnn(shell)) < eps5) then + ! kmesh_input%shell_list(kmesh_input%num_shells*(loop_order - 1) + shell) = shell_higher + ! loop_order = loop_order + 1 + ! if (loop_order - 1 == kmesh_input%finite_diff_order) exit + ! endif + ! enddo + ! if (kmesh_input%finite_diff_order /= 1 .and. loop_order - 1 /= kmesh_input%finite_diff_order) then + ! if (print_output%iprint > 0) then + ! write (stdout, *) ' ' + ! write (stdout, '(1x,a,a,i3,a)') 'Unable to include all bvectors using the simple algorithm ', & + ! 'with any of the first ', kmesh_input%search_shells, ' shells' + ! write (stdout, '(1x,a)') 'Your cell might be very long, or you may have an irregular MP grid' + ! write (stdout, '(1x,a)') 'Try increasing the parameter search_shells in the win file (default=36)' + ! write (stdout, *) ' ' + ! end if + ! call io_error('kmesh_get_automatic', stdout, seedname) + ! endif + ! ! calculate new bweights w_b, w_2b, ..., w_Nb + ! bweight_temp = bweight(shell) + ! do loop_i = 1, kmesh_input%finite_diff_order + ! fact = 1.0_dp/loop_i**2 + ! do loop_j = 1, kmesh_input%finite_diff_order + ! if (loop_j == loop_i) cycle + ! fact = (fact*loop_j**2)/(loop_j**2 - loop_i**2) + ! enddo + ! bweight(kmesh_input%num_shells*(loop_i - 1) + shell) = bweight_temp*fact + ! enddo + ! enddo + ! kmesh_input%num_shells = kmesh_input%finite_diff_order*kmesh_input%num_shells + !end if + + if (print_output%timing_level > 1) call io_stopwatch('kmesh: shell_automatic', 2, stdout, seedname) + + return + + end subroutine kmesh_shell_automatic + + subroutine kmesh_shell_simple_reconstruct(kmesh_input, multi, dnn, bweight) + !================================================ + ! + !! Include more shells to calculate higher-order finite difference: 2b, 3b, ... Nb shells + !! Note: some shells are overwritten + !================================================ + use w90_io, only: io_error, io_stopwatch + use w90_types, only: kmesh_input_type, print_output_type + + implicit none + + ! arguments + type(kmesh_input_type), intent(inout) :: kmesh_input + integer, intent(inout) :: multi(kmesh_input%search_shells) ! the number of bvectors in the shell + real(kind=dp), intent(inout) :: bweight(kmesh_input%max_shells_h) + real(kind=dp), intent(inout) :: dnn(kmesh_input%search_shells) + + ! local variables + real(kind=dp) :: bweight_temp, fact + integer :: shell, order, loop_j + + ! update new shells + do order = 2, kmesh_input%finite_diff_order do shell = 1, kmesh_input%num_shells - loop_order = 2 - do shell_higher = kmesh_input%num_shells + 1, kmesh_input%search_shells - if (dnn(shell_higher)/loop_order/dnn(shell) < eps5) then - kmesh_input%shell_list(kmesh_input%num_shells*(loop_order - 1) + shell) = shell_higher - loop_order = loop_order + 1 - if (loop_order - 1 == kmesh_input%finite_diff_order) exit - endif - enddo - if (kmesh_input%finite_diff_order /= 1 .and. loop_order - 1 /= kmesh_input%finite_diff_order) then - if (print_output%iprint > 0) then - write (stdout, *) ' ' - write (stdout, '(1x,a,a,i3,a)') 'Unable to include all bvectors using the simple algorithm ', & - 'with any of the first ', kmesh_input%search_shells, ' shells' - write (stdout, '(1x,a)') 'Your cell might be very long, or you may have an irregular MP grid' - write (stdout, '(1x,a)') 'Try increasing the parameter search_shells in the win file (default=36)' - write (stdout, *) ' ' - end if - call io_error('kmesh_get_automatic', stdout, seedname) - endif - ! calculate new bweights w_b, w_2b, ..., w_Nb - bweight_temp = bweight(shell) - do loop_i = 1, kmesh_input%finite_diff_order - fact = 1.0_dp/loop_i**2 - do loop_j = 1, kmesh_input%finite_diff_order - if (loop_j == loop_i) cycle - fact = (fact*loop_j**2)/(loop_j**2 - loop_i**2) - enddo - bweight(kmesh_input%num_shells*(loop_i - 1) + shell) = bweight_temp*fact + kmesh_input%shell_list((order - 1)*kmesh_input%num_shells + shell) = & + (order - 1)*kmesh_input%num_shells + shell + multi((order - 1)*kmesh_input%num_shells + shell) = multi(shell) + dnn((order - 1)*kmesh_input%num_shells + shell) = dnn(shell)*order + enddo + enddo + + ! calculate new bweights w_b, w_2b, ..., w_Nb + do shell = 1, kmesh_input%num_shells + bweight_temp = bweight(shell) + do order = 1, kmesh_input%finite_diff_order + fact = 1.0_dp/order**2 + do loop_j = 1, kmesh_input%finite_diff_order + if (loop_j == order) cycle + fact = (fact*loop_j**2)/(loop_j**2 - order**2) enddo + bweight(kmesh_input%num_shells*(order - 1) + shell) = bweight_temp*fact enddo - kmesh_input%num_shells = kmesh_input%finite_diff_order*kmesh_input%num_shells - end if + enddo - if (print_output%timing_level > 1) call io_stopwatch('kmesh: shell_automatic', 2, stdout, seedname) + kmesh_input%num_shells = kmesh_input%num_shells*kmesh_input%finite_diff_order return - end subroutine kmesh_shell_automatic + end subroutine kmesh_shell_simple_reconstruct !================================================ subroutine kmesh_get_amat(kmesh_input, amat, bvector, multi, loop_order, num_x, num_y, num_z) diff --git a/src/readwrite.F90 b/src/readwrite.F90 index d5f807581..1f5f0174f 100644 --- a/src/readwrite.F90 +++ b/src/readwrite.F90 @@ -576,10 +576,12 @@ subroutine w90_readwrite_read_kmesh_data(kmesh_input, stdout, seedname) if (kmesh_input%finite_diff_order < 0) call io_error('Error: finite_diff_order must be positive', stdout, seedname) n = kmesh_input%finite_diff_order kmesh_input%max_shells_h = n*(4*n**2 + 15*n + 17)/6 + kmesh_input%max_shells_aux = kmesh_input%max_shells_h kmesh_input%num_nnmax_h = 2*kmesh_input%max_shells_h kmesh_input%higher_order_simple = .false. call w90_readwrite_get_keyword(stdout, seedname, 'higher_order_simple', found, l_value=kmesh_input%higher_order_simple) + if (kmesh_input%higher_order_simple) kmesh_input%max_shells_aux = 6 kmesh_input%tol = 0.000001_dp call w90_readwrite_get_keyword(stdout, seedname, 'kmesh_tol', found, r_value=kmesh_input%tol) @@ -589,7 +591,7 @@ subroutine w90_readwrite_read_kmesh_data(kmesh_input, stdout, seedname) call w90_readwrite_get_range_vector(stdout, seedname, 'shell_list', found, kmesh_input%num_shells, lcount=.true.) if (found) then if (kmesh_input%num_shells < 0 .or. kmesh_input%num_shells > kmesh_input%max_shells_h) & - call io_error('Error: number of shell in shell_list must be between zero and six', stdout, seedname) + call io_error('Error: number of shell in shell_list must be between zero and kmesh_input%max_shells_h', stdout, seedname) if (allocated(kmesh_input%shell_list)) deallocate (kmesh_input%shell_list) allocate (kmesh_input%shell_list(kmesh_input%num_shells), stat=ierr) if (ierr /= 0) call io_error('Error allocating shell_list in w90_wannier90_readwrite_read', stdout, seedname) diff --git a/src/types.F90 b/src/types.F90 index 379849cc6..a44c67494 100644 --- a/src/types.F90 +++ b/src/types.F90 @@ -108,6 +108,7 @@ module w90_types integer :: num_shells !! no longer an input keyword integer :: max_shells_h ! \sum ((3, 2i)) (combination with rep.) = n(4n*2 + 15n + 17)/6 + integer :: max_shells_aux ! = 6 for higher-order simple algorithm, n(4n*2 + 15n + 17)/6 for search algorithm integer :: num_nnmax_h ! 2*n(4n*2 + 15n + 17)/6 integer :: finite_diff_order !! Higher-order of finite-difference formulas From 51fe304ad4abeed0161a02b6672d98b6fbe9f94f Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Fri, 29 Apr 2022 12:58:13 +0900 Subject: [PATCH 19/45] skip the repetitive test --- src/kmesh.F90 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index f384d9b79..fc966d460 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -473,7 +473,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! We know it is true for kpt=1; but we check the rest to be safe. ! Eq. B1 in Appendix B PRB 56 12847 (1997) - if (.not. kmesh_input%skip_B1_tests) then + if (.not. (kmesh_input%skip_B1_tests .or. kmesh_input%higher_order_simple)) then do nkp = 1, num_kpts do i = 1, kmesh_input%finite_diff_order if (kmesh_input%higher_order_simple .and. i > 1) exit From 0b427a446af1d6f84d73eeccea89b5a5c378d3d3 Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Fri, 29 Apr 2022 14:16:43 +0900 Subject: [PATCH 20/45] allocation problem of dnn, nnshell, ... solved --- src/kmesh.F90 | 31 +++++++++++++++++++++++-------- 1 file changed, 23 insertions(+), 8 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index fc966d460..64e3b90b3 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -88,7 +88,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti !real(kind=dp) :: bk_local(3, num_nnmax, num_kpts) !, kpbvec(3) !real(kind=dp) :: bweight(max_shells) real(kind=dp) :: dist, dnn0, dnn1, bb1, bbn, ddelta - real(kind=dp) :: dnn(kmesh_input%search_shells) + real(kind=dp) :: dnn(max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) real(kind=dp) :: recip_lattice(3, 3), volume real(kind=dp) :: vkpp(3), vkpp2(3) !real(kind=dp) :: wb_local(num_nnmax) @@ -97,6 +97,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti real(kind=dp) :: bweight(kmesh_input%max_shells_h) real(kind=dp) :: wb_local(kmesh_input%num_nnmax_h) real(kind=dp) :: bk_local(3, kmesh_input%num_nnmax_h, num_kpts) + real(kind=dp) :: bkl_norm, bka_norm, bkl_normalized(3), bka_normalized(3) real(kind=dp), allocatable :: bk_first(:, :, :) integer :: num_x((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) integer :: num_y((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) @@ -106,10 +107,10 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti integer, allocatable :: nnlist_tmp(:, :), nncell_tmp(:, :, :) ![ysl] integer :: ifound, counter, na, nap, loop_s, loop_b, shell !, nbvec, bnum - integer :: ifpos, ifneg, ierr, multi(kmesh_input%search_shells) + integer :: ifpos, ifneg, ierr, multi(max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) integer :: lmn(3, (2*nsupcell + 1)**3) ! Order in which to search the cells (ordered in dist from origin) integer :: nlist, nkp, nkp2, l, m, n, ndnn, ndnnx, ndnntot - integer :: nnshell(num_kpts, kmesh_input%search_shells) + integer :: nnshell(num_kpts, max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) integer :: nnsh, nn, nnx, loop, i, j integer :: stdout @@ -313,8 +314,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! higher-order simple algorithm: include 2b, 3b, ..., Nb shells, and modify bweights if (kmesh_input%higher_order_simple) then - ! update num_shells, nntot, shell_list, bweight, dnn(distance to shells) and multi - call kmesh_shell_simple_reconstruct(kmesh_input, multi, dnn, bweight) + ! update nntot kmesh_info%nntot = kmesh_info%nntot*kmesh_input%finite_diff_order endif @@ -397,6 +397,18 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! deallocate (bk_first) ! if (ierr /= 0) call io_error('Error deallocating bk_first in kmesh_get', stdout, seedname) !endif + + ! higher-order simple algorithm: include 2b, 3b, ..., Nb shells, and modify bweights + if (kmesh_input%higher_order_simple) then + do nn = 2, kmesh_input%finite_diff_order + do nnx = 1, kmesh_info%nntot/kmesh_input%finite_diff_order + bk_local(:, (nn - 1)*kmesh_info%nntot/kmesh_input%finite_diff_order + nnx, :) = nn*bk_local(:, nnx, :) + enddo + enddo + ! update num_shells, shell_list, dnn(distance to shells), etc. + call kmesh_shell_simple_reconstruct(kmesh_input, num_kpts, multi, dnn, nnshell, bweight) + endif + nnx = 0 do loop_s = 1, kmesh_input%num_shells do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) @@ -1386,7 +1398,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca end subroutine kmesh_shell_automatic - subroutine kmesh_shell_simple_reconstruct(kmesh_input, multi, dnn, bweight) + subroutine kmesh_shell_simple_reconstruct(kmesh_input, num_kpts, multi, dnn, nnshell, bweight) !================================================ ! !! Include more shells to calculate higher-order finite difference: 2b, 3b, ... Nb shells @@ -1399,9 +1411,11 @@ subroutine kmesh_shell_simple_reconstruct(kmesh_input, multi, dnn, bweight) ! arguments type(kmesh_input_type), intent(inout) :: kmesh_input - integer, intent(inout) :: multi(kmesh_input%search_shells) ! the number of bvectors in the shell + integer, intent(in) :: num_kpts + integer, intent(inout) :: multi(max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) ! the number of bvectors in the shell + real(kind=dp), intent(inout) :: dnn(max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) + integer, intent(inout) :: nnshell(num_kpts, max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) real(kind=dp), intent(inout) :: bweight(kmesh_input%max_shells_h) - real(kind=dp), intent(inout) :: dnn(kmesh_input%search_shells) ! local variables real(kind=dp) :: bweight_temp, fact @@ -1413,6 +1427,7 @@ subroutine kmesh_shell_simple_reconstruct(kmesh_input, multi, dnn, bweight) kmesh_input%shell_list((order - 1)*kmesh_input%num_shells + shell) = & (order - 1)*kmesh_input%num_shells + shell multi((order - 1)*kmesh_input%num_shells + shell) = multi(shell) + nnshell(:, (order - 1)*kmesh_input%num_shells + shell) = nnshell(:, shell) dnn((order - 1)*kmesh_input%num_shells + shell) = dnn(shell)*order enddo enddo From 4999280d422743a0366b91859a69f20cfb9c1319 Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Fri, 29 Apr 2022 18:46:14 +0900 Subject: [PATCH 21/45] nnlist and nncell work now --- src/kmesh.F90 | 104 ++++++++++++++++++++++++++++++---------------- src/readwrite.F90 | 3 ++ src/types.F90 | 1 + 3 files changed, 72 insertions(+), 36 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 64e3b90b3..6d0c8a3bf 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -102,13 +102,13 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti integer :: num_x((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) integer :: num_y((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) integer :: num_z((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) - integer :: num_first_shells + integer :: num_first_shells, ndnn2, nnx2, multi_cumulative logical :: lpar integer, allocatable :: nnlist_tmp(:, :), nncell_tmp(:, :, :) ![ysl] integer :: ifound, counter, na, nap, loop_s, loop_b, shell !, nbvec, bnum integer :: ifpos, ifneg, ierr, multi(max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) - integer :: lmn(3, (2*nsupcell + 1)**3) ! Order in which to search the cells (ordered in dist from origin) + integer :: lmn(3, (2*kmesh_input%search_supcell_size + 1)**3) ! Order in which to search the cells (ordered in dist from origin) integer :: nlist, nkp, nkp2, l, m, n, ndnn, ndnnx, ndnntot integer :: nnshell(num_kpts, max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) integer :: nnsh, nn, nnx, loop, i, j @@ -121,7 +121,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti '*---------------------------------- K-MESH ----------------------------------*' ! Sort the cell neighbours so we loop in order of distance from the home shell - call kmesh_supercell_sort(print_output, recip_lattice, lmn, seedname, stdout) + call kmesh_supercell_sort(print_output, kmesh_input%search_supcell_size, recip_lattice, lmn, seedname, stdout) allocate (kpt_cart(3, num_kpts), stat=ierr) if (ierr /= 0) call io_error('Error allocating kpt_cart in kmesh_get', stdout, seedname) @@ -137,7 +137,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ndnntot = 0 do nlist = 1, kmesh_input%search_shells do nkp = 1, num_kpts - do loop = 1, (2*nsupcell + 1)**3 + do loop = 1, (2*kmesh_input%search_supcell_size + 1)**3 l = lmn(1, loop); m = lmn(2, loop); n = lmn(3, loop) ! vkpp = kpt_cart(:, nkp) + matmul(lmn(:, loop), recip_lattice) @@ -354,7 +354,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti nnx = 0 ok: do ndnnx = 1, kmesh_input%num_shells ndnn = kmesh_input%shell_list(ndnnx) - do loop = 1, (2*nsupcell + 1)**3 + do loop = 1, (2*kmesh_input%search_supcell_size + 1)**3 l = lmn(1, loop); m = lmn(2, loop); n = lmn(3, loop) vkpp2 = matmul(lmn(:, loop), recip_lattice) do nkp2 = 1, num_kpts @@ -369,22 +369,6 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti kmesh_info%nncell(2, nkp, nnx) = m kmesh_info%nncell(3, nkp, nnx) = n bk_local(:, nnx, nkp) = vkpp(:) - kpt_cart(:, nkp) - ! check if a new bk is parallel to 1st-order bvectors; if not, exclude - !if (kmesh_input%higher_order_simple) then - ! lpar = .false. - ! do shell = 1, num_first_shells - ! do loop_b = 1, multi(shell) - ! ddelta = dot_product(bk_first(:, shell, loop_b), bk_local(:, nnx, nkp))/ & - ! sqrt(dot_product(bk_first(:, shell, loop_b), bk_first(:, shell, loop_b))* & - ! dot_product(bk_local(:, nnx, nkp), bk_local(:, nnx, nkp))) - ! if (abs(abs(ddelta) - 1.0_dp) < eps6) lpar = .true. - ! enddo - ! enddo - ! if (.not. lpar) then - ! nnx = nnx - 1 - ! nnshell(nkp, ndnn) = nnshell(nkp, ndnn) - 1 - ! endif - !endif endif !if we have the right number of neighbours we can exit if (nnshell(nkp, ndnn) == multi(ndnn)) cycle ok @@ -400,15 +384,49 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! higher-order simple algorithm: include 2b, 3b, ..., Nb shells, and modify bweights if (kmesh_input%higher_order_simple) then - do nn = 2, kmesh_input%finite_diff_order - do nnx = 1, kmesh_info%nntot/kmesh_input%finite_diff_order - bk_local(:, (nn - 1)*kmesh_info%nntot/kmesh_input%finite_diff_order + nnx, :) = nn*bk_local(:, nnx, :) + ! update num_shells, shell_list, dnn(distance to shells), multi, etc. + call kmesh_shell_simple_reconstruct(kmesh_input, num_kpts, multi, dnn, nnshell, bweight) + + ! update bk_local + ! update nnlist(neighboring kpts), and nncell(G_lmn vectors of neighbors) + do nkp = 1, num_kpts + do nn = 2, kmesh_input%finite_diff_order + multi_cumulative = 0 + do ndnn = 1, kmesh_input%num_shells/kmesh_input%finite_diff_order !first-order shells + ! ndnn: index of shells (first order) + ! ndnn2: index of shells (nn-th-order) + ndnn2 = (nn - 1)*kmesh_input%num_shells/kmesh_input%finite_diff_order + ndnn + do nnx = 1 + multi_cumulative, multi(ndnn) + multi_cumulative + counter = 0 + ! nnx: index of bvectors (first order) + ! nnx2: index of bvectors (nn-th-order) + nnx2 = (nn - 1)*kmesh_info%nntot/kmesh_input%finite_diff_order + nnx + bk_local(:, nnx2, nkp) = nn*bk_local(:, nnx, nkp) + ! find nnlist and nncell + do loop = 1, (2*kmesh_input%search_supcell_size + 1)**3 + l = lmn(1, loop); m = lmn(2, loop); n = lmn(3, loop) + vkpp2 = matmul(lmn(:, loop), recip_lattice) !G_lmn vector + do nkp2 = 1, num_kpts + vkpp = vkpp2 + kpt_cart(:, nkp2) - kpt_cart(:, nkp) + ! if kp2 - kp1 == bk_local(:, nnx2, :) + call utility_compar(vkpp(1), bk_local(1, nnx2, nkp), ifpos, ifneg) + if (ifpos .eq. 1) then + counter = counter + 1 + kmesh_info%nnlist(nkp, nnx2) = nkp2 + kmesh_info%nncell(1, nkp, nnx2) = l + kmesh_info%nncell(2, nkp, nnx2) = m + kmesh_info%nncell(3, nkp, nnx2) = n + endif + enddo + enddo + if (counter == 0) call io_error('Could not find Nb vectors, try to increase search_supcell_size', stdout, seedname) + if (counter >= 2) call io_error('Error in kmesh_get, try to modify tolerance in utility_compar', stdout, seedname) + enddo + multi_cumulative = multi_cumulative + multi(ndnn) + enddo enddo enddo - ! update num_shells, shell_list, dnn(distance to shells), etc. - call kmesh_shell_simple_reconstruct(kmesh_input, num_kpts, multi, dnn, nnshell, bweight) endif - nnx = 0 do loop_s = 1, kmesh_input%num_shells do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) @@ -424,7 +442,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti !nnshell = 0 !do nkp = 1, num_kpts ! nnx = 0 - ! ok2: do loop = 1, (2*nsupcell + 1)**3 + ! ok2: do loop = 1, (2*kmesh_input%search_supcell_size + 1)**3 ! l = lmn(1, loop); m = lmn(2, loop); n = lmn(3, loop) ! vkpp2 = matmul(lmn(:, loop), recip_lattice) ! do nkp2 = 1, num_kpts @@ -959,7 +977,7 @@ subroutine kmesh_dealloc(kmesh_info, stdout, seedname) end subroutine kmesh_dealloc !================================================ - subroutine kmesh_supercell_sort(print_output, recip_lattice, lmn, seedname, stdout) + subroutine kmesh_supercell_sort(print_output, nsupcell, recip_lattice, lmn, seedname, stdout) !================================================ !! We look for kpoint neighbours in a large supercell of reciprocal !! unit cells. Done sequentially this is very slow. @@ -973,7 +991,7 @@ subroutine kmesh_supercell_sort(print_output, recip_lattice, lmn, seedname, stdo implicit none type(print_output_type), intent(in) :: print_output - + integer, intent(in) :: nsupcell integer, intent(in) :: stdout integer, intent(inout) :: lmn(:, :) real(kind=dp), intent(in) :: recip_lattice(3, 3) @@ -1005,7 +1023,7 @@ subroutine kmesh_supercell_sort(print_output, recip_lattice, lmn, seedname, stdo end do do loop = (2*nsupcell + 1)**3, 1, -1 - indx = internal_maxloc(dist) + indx = internal_maxloc(dist, nsupcell) dist_cp(loop) = dist(indx(1)) lmn_cp(:, loop) = lmn(:, indx(1)) dist(indx(1)) = -1.0_dp @@ -1058,7 +1076,7 @@ subroutine kmesh_get_bvectors(kmesh_input, print_output, bvector, kpt_cart, reci bvector = 0.0_dp num_bvec = 0 - ok: do loop = 1, (2*nsupcell + 1)**3 + ok: do loop = 1, (2*kmesh_input%search_supcell_size + 1)**3 vkpp2 = matmul(lmn(:, loop), recip_lattice) do nkp2 = 1, num_kpts vkpp = vkpp2 + kpt_cart(:, nkp2) @@ -1419,9 +1437,23 @@ subroutine kmesh_shell_simple_reconstruct(kmesh_input, num_kpts, multi, dnn, nns ! local variables real(kind=dp) :: bweight_temp, fact - integer :: shell, order, loop_j + integer :: shell, order, loop_j, temp_multi(kmesh_input%num_shells), temp_nnshell(num_kpts, kmesh_input%num_shells) + real(kind=dp) :: temp_dnn(kmesh_input%num_shells) + + ! update new shells (after simplify the first-order shell list, e.g. 1,4,6, ... -> 1,2,3,...) + do shell = 1, kmesh_input%num_shells + temp_multi(shell) = multi(kmesh_input%shell_list(shell)) + temp_nnshell(:, shell) = nnshell(:, kmesh_input%shell_list(shell)) + temp_dnn(shell) = dnn(kmesh_input%shell_list(shell)) + enddo + + do shell = 1, kmesh_input%num_shells + kmesh_input%shell_list(shell) = shell + multi(shell) = temp_multi(shell) + nnshell(:, shell) = temp_nnshell(:, shell) + dnn(shell) = temp_dnn(shell) + enddo - ! update new shells do order = 2, kmesh_input%finite_diff_order do shell = 1, kmesh_input%num_shells kmesh_input%shell_list((order - 1)*kmesh_input%num_shells + shell) = & @@ -1922,7 +1954,7 @@ subroutine kmesh_shell_from_file(kmesh_input, print_output, bvec_inp, bweight, d end subroutine kmesh_shell_from_file !================================================ - function internal_maxloc(dist) + function internal_maxloc(dist, nsupcell) !================================================ !! A reproducible maxloc function !! so b-vectors come in the same @@ -1932,7 +1964,7 @@ function internal_maxloc(dist) use w90_constants, only: eps8 implicit none - + integer, intent(in) :: nsupcell real(kind=dp), intent(in) :: dist((2*nsupcell + 1)**3) !! Distances from the origin of the unit cells in the supercell. integer :: internal_maxloc diff --git a/src/readwrite.F90 b/src/readwrite.F90 index 1f5f0174f..876b6b78f 100644 --- a/src/readwrite.F90 +++ b/src/readwrite.F90 @@ -570,6 +570,9 @@ subroutine w90_readwrite_read_kmesh_data(kmesh_input, stdout, seedname) kmesh_input%search_shells = 36 call w90_readwrite_get_keyword(stdout, seedname, 'search_shells', found, i_value=kmesh_input%search_shells) if (kmesh_input%search_shells < 0) call io_error('Error: search_shells must be positive', stdout, seedname) + kmesh_input%search_supcell_size = 5 + call w90_readwrite_get_keyword(stdout, seedname, 'search_supcell_size', found, i_value=kmesh_input%search_supcell_size) + if (kmesh_input%search_supcell_size < 0) call io_error('Error: search_supcell_size must be positive', stdout, seedname) kmesh_input%finite_diff_order = 1 call w90_readwrite_get_keyword(stdout, seedname, 'finite_diff_order', found, i_value=kmesh_input%finite_diff_order) diff --git a/src/types.F90 b/src/types.F90 index a44c67494..87fe04ea6 100644 --- a/src/types.F90 +++ b/src/types.F90 @@ -118,6 +118,7 @@ module w90_types !! do not check the B1 condition integer, allocatable :: shell_list(:) integer :: search_shells + integer :: search_supcell_size !Size of supercell (of recip cell) in which to search for k-point shells real(kind=dp) :: tol end type kmesh_input_type From 8d6724561de992e0e0f0224693f39264cc9be99d Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Wed, 4 May 2022 17:26:44 +0900 Subject: [PATCH 22/45] precision problem of higher order simple --- src/kmesh.F90 | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 6d0c8a3bf..ea1490bb8 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -1468,10 +1468,10 @@ subroutine kmesh_shell_simple_reconstruct(kmesh_input, num_kpts, multi, dnn, nns do shell = 1, kmesh_input%num_shells bweight_temp = bweight(shell) do order = 1, kmesh_input%finite_diff_order - fact = 1.0_dp/order**2 + fact = 1.0_dp/REAL(order**2, DP) do loop_j = 1, kmesh_input%finite_diff_order if (loop_j == order) cycle - fact = (fact*loop_j**2)/(loop_j**2 - order**2) + fact = (fact*REAL(loop_j**2, DP))/REAL(loop_j**2 - order**2, DP) enddo bweight(kmesh_input%num_shells*(order - 1) + shell) = bweight_temp*fact enddo From d35e228ec34f0253cfd653f7274857faaa7ce4f1 Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Fri, 6 May 2022 20:05:04 +0900 Subject: [PATCH 23/45] no need to use search_supcell_size --- src/kmesh.F90 | 60 ++++++++++++++++++++++++++++++++++----------------- 1 file changed, 40 insertions(+), 20 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index ea1490bb8..472f5ce68 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -65,7 +65,8 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti use w90_constants, only: eps6 use w90_io, only: io_error, io_stopwatch - use w90_utility, only: utility_compar, utility_recip_lattice, utility_frac_to_cart + use w90_utility, only: utility_compar, utility_recip_lattice, utility_frac_to_cart, & + utility_cart_to_frac, utility_inverse_mat use w90_types, only: kmesh_info_type, kmesh_input_type, print_output_type implicit none @@ -96,13 +97,13 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! higher-order finite-difference real(kind=dp) :: bweight(kmesh_input%max_shells_h) real(kind=dp) :: wb_local(kmesh_input%num_nnmax_h) - real(kind=dp) :: bk_local(3, kmesh_input%num_nnmax_h, num_kpts) - real(kind=dp) :: bkl_norm, bka_norm, bkl_normalized(3), bka_normalized(3) + real(kind=dp) :: bk_local(3, kmesh_input%num_nnmax_h, num_kpts), bk_latt(3) + real(kind=dp) :: bkl_norm, bka_norm, bkl_normalized(3), bka_normalized(3), inv_lattice(3, 3) real(kind=dp), allocatable :: bk_first(:, :, :) integer :: num_x((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) integer :: num_y((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) integer :: num_z((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) - integer :: num_first_shells, ndnn2, nnx2, multi_cumulative + integer :: num_first_shells, ndnn2, nnx2, multi_cumulative, lmn_temp(3) logical :: lpar integer, allocatable :: nnlist_tmp(:, :), nncell_tmp(:, :, :) ![ysl] @@ -117,6 +118,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti if (print_output%timing_level > 0) call io_stopwatch('kmesh: get', 1, stdout, seedname) call utility_recip_lattice(real_lattice, recip_lattice, volume, stdout, seedname) + call utility_inverse_mat(recip_lattice, inv_lattice) if (print_output%iprint > 0) write (stdout, '(/1x,a)') & '*---------------------------------- K-MESH ----------------------------------*' @@ -403,23 +405,41 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti nnx2 = (nn - 1)*kmesh_info%nntot/kmesh_input%finite_diff_order + nnx bk_local(:, nnx2, nkp) = nn*bk_local(:, nnx, nkp) ! find nnlist and nncell - do loop = 1, (2*kmesh_input%search_supcell_size + 1)**3 - l = lmn(1, loop); m = lmn(2, loop); n = lmn(3, loop) - vkpp2 = matmul(lmn(:, loop), recip_lattice) !G_lmn vector - do nkp2 = 1, num_kpts - vkpp = vkpp2 + kpt_cart(:, nkp2) - kpt_cart(:, nkp) - ! if kp2 - kp1 == bk_local(:, nnx2, :) - call utility_compar(vkpp(1), bk_local(1, nnx2, nkp), ifpos, ifneg) - if (ifpos .eq. 1) then - counter = counter + 1 - kmesh_info%nnlist(nkp, nnx2) = nkp2 - kmesh_info%nncell(1, nkp, nnx2) = l - kmesh_info%nncell(2, nkp, nnx2) = m - kmesh_info%nncell(3, nkp, nnx2) = n - endif - enddo + !do loop = 1, (2*kmesh_input%search_supcell_size + 1)**3 + ! l = lmn(1, loop); m = lmn(2, loop); n = lmn(3, loop) + ! vkpp2 = matmul(lmn(:, loop), recip_lattice) !G_lmn vector + ! do nkp2 = 1, num_kpts + ! vkpp = vkpp2 + kpt_cart(:, nkp2) - kpt_cart(:, nkp) + ! ! if kp2 - kp1 == bk_local(:, nnx2, :) + ! call utility_compar(vkpp(1), bk_local(1, nnx2, nkp), ifpos, ifneg) + ! if (ifpos .eq. 1) then + ! counter = counter + 1 + ! kmesh_info%nnlist(nkp, nnx2) = nkp2 + ! kmesh_info%nncell(1, nkp, nnx2) = l + ! kmesh_info%nncell(2, nkp, nnx2) = m + ! kmesh_info%nncell(3, nkp, nnx2) = n + ! endif + ! enddo + !enddo + ! do not search supcell + ! find nnlist(nkp2) and nncell(lmn) + call utility_cart_to_frac(bk_local(:, nnx2, nkp), bk_latt, inv_lattice) + lmn_temp(1) = floor(kpt_latt(1, nkp) + bk_latt(1) + 1.e-8_dp) ! e.g. 3.999999999 is 4 + lmn_temp(2) = floor(kpt_latt(2, nkp) + bk_latt(2) + 1.e-8_dp) + lmn_temp(3) = floor(kpt_latt(3, nkp) + bk_latt(3) + 1.e-8_dp) + vkpp2 = matmul(lmn_temp, recip_lattice) !G_lmn vector + do nkp2 = 1, num_kpts + vkpp = kpt_cart(:, nkp) + bk_local(:, nnx2, nkp) - vkpp2 ! k_2 = k_1 + Nb - G_lmn + call utility_compar(kpt_cart(:, nkp2), vkpp, ifpos, ifneg) + if (ifpos .eq. 1) then + counter = counter + 1 + kmesh_info%nnlist(nkp, nnx2) = nkp2 + kmesh_info%nncell(1, nkp, nnx2) = lmn_temp(1) + kmesh_info%nncell(2, nkp, nnx2) = lmn_temp(2) + kmesh_info%nncell(3, nkp, nnx2) = lmn_temp(3) + endif enddo - if (counter == 0) call io_error('Could not find Nb vectors, try to increase search_supcell_size', stdout, seedname) + if (counter == 0) call io_error('Could not find Nb vectors', stdout, seedname) if (counter >= 2) call io_error('Error in kmesh_get, try to modify tolerance in utility_compar', stdout, seedname) enddo multi_cumulative = multi_cumulative + multi(ndnn) From 4c06dfc8758c0147af062817920d41359b5aefd9 Mon Sep 17 00:00:00 2001 From: Minsu Ghim Date: Fri, 6 May 2022 20:26:28 +0900 Subject: [PATCH 24/45] =?UTF-8?q?do=20not=20print=20=E2=80=9Chigherorder?= =?UTF-8?q?=20satisfied=E2=80=9D=20when=20order=3D1?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- src/kmesh.F90 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 472f5ce68..2cb2d8def 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -566,7 +566,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti if (print_output%iprint > 0) then write (stdout, '(1x,a)') '| Completeness relation is fully satisfied [Eq. (B1), PRB 56, 12847 (1997)] |' - if (.not. kmesh_input%higher_order_simple) then + if ((.not. kmesh_input%higher_order_simple) .and. (kmesh_input%finite_diff_order .gt. 1)) then write (stdout, '(1x,a)') '| Completeness relations for higher-order are fully satisfied |' endif write (stdout, '(1x,"+",76("-"),"+")') From 7c9bce381ade8d2695e92336bc41138d12ecabca Mon Sep 17 00:00:00 2001 From: manxkim Date: Wed, 5 Oct 2022 12:12:07 +0900 Subject: [PATCH 25/45] change tolerance --- src/kmesh.F90 | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 2cb2d8def..4e5270efc 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -424,9 +424,9 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! do not search supcell ! find nnlist(nkp2) and nncell(lmn) call utility_cart_to_frac(bk_local(:, nnx2, nkp), bk_latt, inv_lattice) - lmn_temp(1) = floor(kpt_latt(1, nkp) + bk_latt(1) + 1.e-8_dp) ! e.g. 3.999999999 is 4 - lmn_temp(2) = floor(kpt_latt(2, nkp) + bk_latt(2) + 1.e-8_dp) - lmn_temp(3) = floor(kpt_latt(3, nkp) + bk_latt(3) + 1.e-8_dp) + lmn_temp(1) = floor(kpt_latt(1, nkp) + bk_latt(1) + 1.e-6_dp) ! e.g. 3.999999999 is 4 + lmn_temp(2) = floor(kpt_latt(2, nkp) + bk_latt(2) + 1.e-6_dp) + lmn_temp(3) = floor(kpt_latt(3, nkp) + bk_latt(3) + 1.e-6_dp) vkpp2 = matmul(lmn_temp, recip_lattice) !G_lmn vector do nkp2 = 1, num_kpts vkpp = kpt_cart(:, nkp) + bk_local(:, nnx2, nkp) - vkpp2 ! k_2 = k_1 + Nb - G_lmn From 1e44e75471f84fbf5f9f97366dfad909d7bd00da Mon Sep 17 00:00:00 2001 From: manxkim Date: Mon, 22 Apr 2024 20:40:19 +0900 Subject: [PATCH 26/45] merge sjhong6230's commits related to kmesh.F90 --- src/kmesh.F90 | 156 ++++++++++++++++++++++++++++++++++++-- src/library_interface.F90 | 7 +- src/readwrite.F90 | 1 + 3 files changed, 158 insertions(+), 6 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index b2fb83a19..f5b7fd011 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -50,6 +50,7 @@ module w90_kmesh public :: kmesh_dealloc public :: kmesh_get + public :: kmesh_sort public :: kmesh_write integer, parameter :: nsupcell = 5 @@ -91,7 +92,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! local variables real(kind=dp), allocatable :: bvec_tmp(:, :) real(kind=dp), allocatable :: kpt_cart(:, :) - real(kind=dp) :: bk_local(3, num_nnmax, num_kpts) !, kpbvec(3) + real(kind=dp), allocatable :: bk_local(:, :, :) real(kind=dp) :: bweight(max_shells) real(kind=dp), parameter :: eta = 99999999.0_dp ! eta = very large real(kind=dp) :: dist, dnn0, dnn1, bb1, bbn, ddelta @@ -103,7 +104,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! higher-order finite-difference real(kind=dp) :: bweight(kmesh_input%max_shells_h) real(kind=dp) :: wb_local(kmesh_input%num_nnmax_h) - real(kind=dp) :: bk_local(3, kmesh_input%num_nnmax_h, num_kpts), bk_latt(3) + real(kind=dp) :: bk_latt(3) real(kind=dp) :: bkl_norm, bka_norm, bkl_normalized(3), bka_normalized(3), inv_lattice(3, 3) real(kind=dp), allocatable :: bk_first(:, :, :) integer :: num_x((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) @@ -115,13 +116,31 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti integer, allocatable :: nnlist_tmp(:, :), nncell_tmp(:, :, :) ![ysl] integer :: ifound, counter, na, nap, loop_s, loop_b, shell !, nbvec, bnum integer :: ifpos, ifneg, ierr, multi(max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) - integer :: lmn(3, (2*kmesh_input%search_supcell_size + 1)**3) ! Order in which to search the cells (ordered in dist from origin) + integer, allocatable :: lmn(:, :) ! Order in which to search the cells (ordered in dist from origin) integer :: nlist, nkp, nkp2, l, m, n, ndnn, ndnnx, ndnntot - integer :: nnshell(num_kpts, max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) + integer, allocatable :: nnshell(:, :) integer :: nnsh, nn, nnx, loop, i, j if (print_output%timing_level > 0) call io_stopwatch_start('kmesh: get', timer) + allocate (bk_local(3, kmesh_input%num_nnmax_h, num_kpts), stat=ierr) + if (ierr /= 0) then + call set_error_alloc(error, 'Error in allocating bk_local in kmesh_get', comm) + return + endif + + allocate (lmn(3, (2*kmesh_input%search_supcell_size + 1)**3), stat=ierr) + if (ierr /= 0) then + call set_error_alloc(error, 'Error in allocating lmn in kmesh_get', comm) + return + endif + + allocate (nnshell(num_kpts, max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)), stat=ierr) + if (ierr /= 0) then + call set_error_alloc(error, 'Error in allocating nnshell in kmesh_get', comm) + return + endif + call utility_inverse_mat(recip_lattice, inv_lattice) call utility_recip_lattice(real_lattice, recip_lattice, volume, error, comm) if (print_output%iprint > 0) write (stdout, '(/1x,a)') & @@ -378,6 +397,14 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti return endif + nnx = 0 + do loop_s = 1, kmesh_input%num_shells + do loop_b = 1, multi(kmesh_input%shell_list(loop_s)) + nnx = nnx + 1 + wb_local(nnx) = bweight(loop_s) + end do + end do + ! Now build up the list of nearest-neighbour shells for each k-point. ! nnlist(nkp,1...nnx) points to the nnx neighbours (ordered along increa ! shells) of the k-point nkp. nncell(i,nkp,nnth) tells us in which BZ is @@ -391,7 +418,6 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti write (stdout, '(1x,a)') '| ----- -------------------- |' endif !if (index(print_output%devel_flag, 'kmesh_degen') == 0) then - ! ! Standard routine ! @@ -858,12 +884,132 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti return endif + deallocate (bk_local, stat=ierr) + if (ierr /= 0) then + call set_error_dealloc(error, 'Error in deallocating bk_local in kmesh_get', comm) + return + endif + + deallocate (lmn, stat=ierr) + if (ierr /= 0) then + call set_error_dealloc(error, 'Error in deallocating lmn in kmesh_get', comm) + return + endif + + deallocate (nnshell, stat=ierr) + if (ierr /= 0) then + call set_error_dealloc(error, 'Error in deallocating nnshell in kmesh_get', comm) + return + endif + if (print_output%timing_level > 0) call io_stopwatch_stop('kmesh: get', timer) return end subroutine kmesh_get + subroutine kmesh_sort(kmesh_info, num_kpts, error, comm) + !==================================================================! + ! ! + !! Sorts b vectors ! + ! ! + ! Sort the overlaps in the same neighbor b vector order ! + ! with b and -b are nntot/2 far apart ! + ! ! + !==================================================================! + + use w90_utility, only: utility_compar + use w90_types, only: kmesh_info_type + + implicit none + + type(kmesh_info_type), intent(inout) :: kmesh_info + integer, intent(in) :: num_kpts + type(w90_error_type), allocatable, intent(out) :: error + type(w90_comm_type), intent(in) :: comm + + real(kind=dp), allocatable :: wb_tmp(:), bk_tmp(:, :) + integer, allocatable :: nnlist_tmp(:), nncell_tmp(:, :) + integer :: na, nn, nkp, ifpos, ifneg, ierr + + allocate (wb_tmp(kmesh_info%nntot), stat=ierr) + if (ierr /= 0) then + call set_error_alloc(error, 'Error in allocating wb_tmp in kmesh_sort', comm) + return + endif + + do na = 1, kmesh_info%nnh + do nn = 1, kmesh_info%nntot + call utility_compar(kmesh_info%bka(1, na), kmesh_info%bk(1, nn, 1), ifpos, ifneg) + if (ifpos .eq. 1) then + wb_tmp(na) = kmesh_info%wb(nn) + else if (ifneg .eq. 1) then + wb_tmp(na + kmesh_info%nnh) = kmesh_info%wb(nn) + endif + enddo + enddo + kmesh_info%wb(:) = wb_tmp(:) + + deallocate (wb_tmp, stat=ierr) + if (ierr /= 0) then + call set_error_dealloc(error, 'Error in deallocating wb_tmp in kmesh_sort', comm) + return + endif + + allocate (nnlist_tmp(kmesh_info%nntot), stat=ierr) + if (ierr /= 0) then + call set_error_alloc(error, 'Error in allocating nnlist_tmp in kmesh_sort', comm) + return + endif + allocate (bk_tmp(3, kmesh_info%nntot), stat=ierr) + if (ierr /= 0) then + call set_error_alloc(error, 'Error in allocating bk_tmp in kmesh_sort', comm) + return + endif + allocate (nncell_tmp(3, kmesh_info%nntot), stat=ierr) + if (ierr /= 0) then + call set_error_alloc(error, 'Error in allocating nncell_tmp in kmesh_sort', comm) + return + endif + + do nkp = 1, num_kpts + do na = 1, kmesh_info%nnh + do nn = 1, kmesh_info%nntot + call utility_compar(kmesh_info%bka(1, na), kmesh_info%bk(1, nn, nkp), ifpos, ifneg) + if (ifpos .eq. 1) then + bk_tmp(:, na) = kmesh_info%bk(:, nn, nkp) + nnlist_tmp(na) = kmesh_info%nnlist(nkp, nn) + nncell_tmp(:, na) = kmesh_info%nncell(:, nkp, nn) + else if (ifneg .eq. 1) then + bk_tmp(:, na + kmesh_info%nnh) = kmesh_info%bk(:, nn, nkp) + nnlist_tmp(na + kmesh_info%nnh) = kmesh_info%nnlist(nkp, nn) + nncell_tmp(:, na + kmesh_info%nnh) = kmesh_info%nncell(:, nkp, nn) + endif + enddo + enddo + kmesh_info%nnlist(nkp, :) = nnlist_tmp(:) + kmesh_info%nncell(:, nkp, :) = nncell_tmp(:, :) + kmesh_info%bk(:, :, nkp) = bk_tmp(:, :) + enddo + + deallocate (nnlist_tmp, stat=ierr) + if (ierr /= 0) then + call set_error_dealloc(error, 'Error in deallocating nnlist_tmp in kmesh_sort', comm) + return + endif + deallocate (bk_tmp, stat=ierr) + if (ierr /= 0) then + call set_error_dealloc(error, 'Error in deallocating bk_tmp in kmesh_sort', comm) + return + endif + deallocate (nncell_tmp, stat=ierr) + if (ierr /= 0) then + call set_error_dealloc(error, 'Error in deallocating nncell_tmp in kmesh_sort', comm) + return + endif + + end subroutine kmesh_sort + !================================================! subroutine kmesh_write(exclude_bands, kmesh_info, lauto_proj, proj, print_output, kpt_latt, & real_lattice, num_kpts, num_proj, calc_only_A, spinors, seedname, timer) diff --git a/src/library_interface.F90 b/src/library_interface.F90 index 2f96ba46c..52c9dc4e2 100644 --- a/src/library_interface.F90 +++ b/src/library_interface.F90 @@ -809,7 +809,7 @@ subroutine w90_set_option_real(common_data, keyword, rval) subroutine w90_create_kmesh(common_data, istdout, istderr, ierr) use w90_error_base, only: w90_error_type - use w90_kmesh, only: kmesh_get + use w90_kmesh, only: kmesh_get, kmesh_sort implicit none @@ -826,6 +826,11 @@ subroutine w90_create_kmesh(common_data, istdout, istderr, ierr) call kmesh_get(common_data%kmesh_input, common_data%kmesh_info, common_data%print_output, & common_data%kpt_latt, common_data%real_lattice, common_data%num_kpts, & common_data%gamma_only, istdout, common_data%timer, error, common_data%comm) + + if (.NOT. common_data%gamma_only) then + call kmesh_sort(common_data%kmesh_info, common_data%num_kpts, error, common_data%comm) + endif + if (allocated(error)) then call prterr(error, ierr, istdout, istderr, common_data%comm) return diff --git a/src/readwrite.F90 b/src/readwrite.F90 index 2e35a06c5..280e000a2 100644 --- a/src/readwrite.F90 +++ b/src/readwrite.F90 @@ -990,6 +990,7 @@ subroutine w90_readwrite_clear_keywords(settings, comm) call w90_readwrite_get_keyword(settings, 'num_shells', found, error, comm) call w90_readwrite_get_keyword(settings, 'num_valence_bands', found, error, comm) call w90_readwrite_get_keyword(settings, 'num_wann', found, error, comm) + call w90_readwrite_get_keyword(settings, 'use_ss_functional', found, error, comm) call w90_readwrite_get_keyword(settings, 'one_dim_axis', found, error, comm) call w90_readwrite_get_keyword(settings, 'optimisation', found, error, comm) call w90_readwrite_get_keyword(settings, 'postproc_setup', found, error, comm) From 060fef32f29929e00c6f9d0bca30f7500d286531 Mon Sep 17 00:00:00 2001 From: manxkim Date: Mon, 22 Apr 2024 21:03:20 +0900 Subject: [PATCH 27/45] debugging --- src/kmesh.F90 | 20 +++++++++----------- src/readwrite.F90 | 4 ++-- 2 files changed, 11 insertions(+), 13 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index f5b7fd011..500cfe0f8 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -93,7 +93,6 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti real(kind=dp), allocatable :: bvec_tmp(:, :) real(kind=dp), allocatable :: kpt_cart(:, :) real(kind=dp), allocatable :: bk_local(:, :, :) - real(kind=dp) :: bweight(max_shells) real(kind=dp), parameter :: eta = 99999999.0_dp ! eta = very large real(kind=dp) :: dist, dnn0, dnn1, bb1, bbn, ddelta real(kind=dp) :: dnn(max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) @@ -449,10 +448,6 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! check to see if too few neighbours here end do ok end do - !if (kmesh_input%higher_order_simple) then - ! deallocate (bk_first) - ! if (ierr /= 0) call io_error('Error deallocating bk_first in kmesh_get', stdout, seedname) - !endif ! higher-order simple algorithm: include 2b, 3b, ..., Nb shells, and modify bweights if (kmesh_input%higher_order_simple) then @@ -509,8 +504,12 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti kmesh_info%nncell(3, nkp, nnx2) = lmn_temp(3) endif enddo - if (counter == 0) call io_error('Could not find Nb vectors', stdout, seedname) - if (counter >= 2) call io_error('Error in kmesh_get, try to modify tolerance in utility_compar', stdout, seedname) + if (counter == 0) then + call set_error_fatal(error, 'Could not find Nb vectors', comm) + endif + if (counter >= 2) then + call set_error_fatal(error, 'Error in kmesh_get, try to modify tolerance in utility_compar', comm) + endif enddo multi_cumulative = multi_cumulative + multi(ndnn) enddo @@ -1547,11 +1546,11 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca num_of_eqs = (1 + finite_diff_order_local)*(1 + 2*finite_diff_order_local) allocate (num_x(finite_diff_order_local, num_of_eqs), stat=ierr) - if (ierr /= 0) call io_error('Error allocating num_x in kmesh_shell_automatic', stdout, seedname) + if (ierr /= 0) call set_error_alloc(error, 'Error allocating num_x in kmesh_shell_automatic', comm) allocate (num_y(finite_diff_order_local, num_of_eqs), stat=ierr) - if (ierr /= 0) call io_error('Error allocating num_y in kmesh_shell_automatic', stdout, seedname) + if (ierr /= 0) call set_error_alloc(error, 'Error allocating num_y in kmesh_shell_automatic', comm) allocate (num_z(finite_diff_order_local, num_of_eqs), stat=ierr) - if (ierr /= 0) call io_error('Error allocating num_z in kmesh_shell_automatic', stdout, seedname) + if (ierr /= 0) call set_error_alloc(error, 'Error allocating num_z in kmesh_shell_automatic', comm) !find higher finite-diff weights ! make test suite(compare nnkp files) @@ -1777,7 +1776,6 @@ subroutine kmesh_shell_simple_reconstruct(kmesh_input, num_kpts, multi, dnn, nns !! Include more shells to calculate higher-order finite difference: 2b, 3b, ... Nb shells !! Note: some shells are overwritten !================================================ - use w90_io, only: io_error, io_stopwatch use w90_types, only: kmesh_input_type, print_output_type implicit none diff --git a/src/readwrite.F90 b/src/readwrite.F90 index 280e000a2..2e7d23014 100644 --- a/src/readwrite.F90 +++ b/src/readwrite.F90 @@ -723,7 +723,7 @@ subroutine w90_readwrite_read_kmesh_data(settings, kmesh_input, error, comm) kmesh_input%num_nnmax_h = 2*kmesh_input%max_shells_h call w90_readwrite_get_keyword(settings, 'higher_order_simple', found, error, comm, & - i_value=kmesh_input%higher_order_simple) + l_value=kmesh_input%higher_order_simple) if (allocated(error)) return if (kmesh_input%higher_order_simple) kmesh_input%max_shells_aux = 6 @@ -739,7 +739,7 @@ subroutine w90_readwrite_read_kmesh_data(settings, kmesh_input, error, comm) .true., error, comm) if (allocated(error)) return if (found) then - if (kmesh_input%num_shells < 0 .or. kmesh_input%num_shells > max_shells_h) then + if (kmesh_input%num_shells < 0 .or. kmesh_input%num_shells > kmesh_input%max_shells_h) then call set_error_input(error, 'Error: number of shell in shell_list must be between zero and kmesh_input%max_shells_h', comm) return endif From c88f504cf6c65d91e0868aff714762f4b6a3d104 Mon Sep 17 00:00:00 2001 From: manxkim Date: Mon, 29 Apr 2024 17:12:42 +0900 Subject: [PATCH 28/45] readwrite_get_keyword: new parameters --- src/kmesh.F90 | 4 ++-- src/readwrite.F90 | 2 ++ 2 files changed, 4 insertions(+), 2 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 500cfe0f8..a0acb485c 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -283,9 +283,9 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti kmesh_info%nntot = kmesh_info%nntot + multi(kmesh_input%shell_list(loop_s)) end do - if (kmesh_info%nntot > num_nnmax) then + if (kmesh_info%nntot > kmesh_input%num_nnmax_h) then if (print_output%iprint > 0) then - write (stdout, '(a,i2,a)') ' **WARNING: kmesh has found >', num_nnmax, ' nearest neighbours**' + write (stdout, '(a,i2,a)') ' **WARNING: kmesh has found >', kmesh_input%num_nnmax_h, ' nearest neighbours**' write (stdout, '(a)') ' ' write (stdout, '(a)') ' This is probably caused by an error in your unit cell specification' write (stdout, '(a)') ' ' diff --git a/src/readwrite.F90 b/src/readwrite.F90 index 2e7d23014..f183c02f7 100644 --- a/src/readwrite.F90 +++ b/src/readwrite.F90 @@ -970,9 +970,11 @@ subroutine w90_readwrite_clear_keywords(settings, comm) call w90_readwrite_get_keyword(settings, 'fermi_surface_num_points', found, error, comm) call w90_readwrite_get_keyword(settings, 'fermi_surface_plot_format', found, error, comm) call w90_readwrite_get_keyword(settings, 'fermi_surface_plot', found, error, comm) + call w90_readwrite_get_keyword(settings, 'finite_diff_order', found, error, comm) call w90_readwrite_get_keyword(settings, 'fixed_step', found, error, comm) call w90_readwrite_get_keyword(settings, 'gamma_only', found, error, comm) call w90_readwrite_get_keyword(settings, 'guiding_centres', found, error, comm) + call w90_readwrite_get_keyword(settings, 'higher_order_simple', found, error, comm) call w90_readwrite_get_keyword(settings, 'hr_cutoff', found, error, comm) call w90_readwrite_get_keyword(settings, 'hr_plot', found, error, comm) call w90_readwrite_get_keyword(settings, 'iprint', found, error, comm) From fd5c39d194f2ffb5445bb85a935ccc5042fa6f5d Mon Sep 17 00:00:00 2001 From: manxkim Date: Mon, 29 Apr 2024 18:08:03 +0900 Subject: [PATCH 29/45] renaming two parameters --- src/kmesh.F90 | 140 +++++++++++++--------------------------------- src/readwrite.F90 | 22 ++++---- src/types.F90 | 6 +- 3 files changed, 55 insertions(+), 113 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index a0acb485c..1be0a2019 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -95,7 +95,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti real(kind=dp), allocatable :: bk_local(:, :, :) real(kind=dp), parameter :: eta = 99999999.0_dp ! eta = very large real(kind=dp) :: dist, dnn0, dnn1, bb1, bbn, ddelta - real(kind=dp) :: dnn(max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) + real(kind=dp) :: dnn(max(kmesh_input%search_shells, 6*kmesh_input%higher_order_n)) real(kind=dp) :: recip_lattice(3, 3), volume real(kind=dp) :: vkpp(3), vkpp2(3) !real(kind=dp) :: wb_local(num_nnmax) @@ -106,15 +106,15 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti real(kind=dp) :: bk_latt(3) real(kind=dp) :: bkl_norm, bka_norm, bkl_normalized(3), bka_normalized(3), inv_lattice(3, 3) real(kind=dp), allocatable :: bk_first(:, :, :) - integer :: num_x((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) - integer :: num_y((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) - integer :: num_z((1 + kmesh_input%finite_diff_order)*(1 + 2*kmesh_input%finite_diff_order)) + integer :: num_x((1 + kmesh_input%higher_order_n)*(1 + 2*kmesh_input%higher_order_n)) + integer :: num_y((1 + kmesh_input%higher_order_n)*(1 + 2*kmesh_input%higher_order_n)) + integer :: num_z((1 + kmesh_input%higher_order_n)*(1 + 2*kmesh_input%higher_order_n)) integer :: num_first_shells, ndnn2, nnx2, multi_cumulative, lmn_temp(3) logical :: lpar integer, allocatable :: nnlist_tmp(:, :), nncell_tmp(:, :, :) ![ysl] integer :: ifound, counter, na, nap, loop_s, loop_b, shell !, nbvec, bnum - integer :: ifpos, ifneg, ierr, multi(max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) + integer :: ifpos, ifneg, ierr, multi(max(kmesh_input%search_shells, 6*kmesh_input%higher_order_n)) integer, allocatable :: lmn(:, :) ! Order in which to search the cells (ordered in dist from origin) integer :: nlist, nkp, nkp2, l, m, n, ndnn, ndnnx, ndnntot integer, allocatable :: nnshell(:, :) @@ -134,7 +134,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti return endif - allocate (nnshell(num_kpts, max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)), stat=ierr) + allocate (nnshell(num_kpts, max(kmesh_input%search_shells, 6*kmesh_input%higher_order_n)), stat=ierr) if (ierr /= 0) then call set_error_alloc(error, 'Error in allocating nnshell in kmesh_get', comm) return @@ -336,32 +336,13 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti return end if - ! higher-order simple algorithm: only take higher-order bvectors parallel to the 1st-order bvectors - !if (kmesh_input%higher_order_simple) then - ! num_first_shells = kmesh_input%num_shells/kmesh_input%finite_diff_order - ! allocate (bk_first(3, num_first_shells, maxval(multi(1:num_first_shells))), stat=ierr) - ! if (ierr /= 0) call io_error('Error allocating bk_first in kmesh_get', stdout, seedname) - ! ! save the 1st-order bvectors - ! do shell = 1, num_first_shells - ! call kmesh_get_bvectors(kmesh_input, print_output, bk_first(:, shell, 1:multi(shell)), kpt_cart, & - ! recip_lattice, dnn(shell), lmn, 1, multi(shell), num_kpts, & - ! seedname, stdout) - ! do i = 2, kmesh_input%finite_diff_order - ! multi(kmesh_input%shell_list(num_first_shells*(i - 1) + shell)) = multi(shell) - ! enddo - ! enddo - ! ! re-calculate nntot - ! kmesh_info%nntot = 0 - ! do loop_s = 1, num_first_shells - ! kmesh_info%nntot = kmesh_info%nntot + multi(kmesh_input%shell_list(loop_s)) - ! enddo - ! kmesh_info%nntot = kmesh_info%nntot*kmesh_input%finite_diff_order - !endif - - ! higher-order simple algorithm: include 2b, 3b, ..., Nb shells, and modify bweights - if (kmesh_input%higher_order_simple) then + ! higher-order algorithm: include 2b, 3b, ..., Nb shells, and modify bweights + if (kmesh_input%higher_order_nearest_shells) then + write (stdout, '(a)') ' | WARNING: higher_order_nearest_shells is an experimental feature, and has |', & + ' | not been extensively tested. |' + else ! update nntot - kmesh_info%nntot = kmesh_info%nntot*kmesh_input%finite_diff_order + kmesh_info%nntot = kmesh_info%nntot*kmesh_input%higher_order_n endif allocate (kmesh_info%nnlist(num_kpts, kmesh_info%nntot), stat=ierr) @@ -449,25 +430,25 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti end do ok end do - ! higher-order simple algorithm: include 2b, 3b, ..., Nb shells, and modify bweights - if (kmesh_input%higher_order_simple) then + ! higher-order algorithm: include 2b, 3b, ..., Nb shells, and modify bweights + if (.not. kmesh_input%higher_order_nearest_shells) then ! update num_shells, shell_list, dnn(distance to shells), multi, etc. - call kmesh_shell_simple_reconstruct(kmesh_input, num_kpts, multi, dnn, nnshell, bweight) + call kmesh_shell_reconstruct(kmesh_input, num_kpts, multi, dnn, nnshell, bweight) ! update bk_local ! update nnlist(neighboring kpts), and nncell(G_lmn vectors of neighbors) do nkp = 1, num_kpts - do nn = 2, kmesh_input%finite_diff_order + do nn = 2, kmesh_input%higher_order_n multi_cumulative = 0 - do ndnn = 1, kmesh_input%num_shells/kmesh_input%finite_diff_order !first-order shells + do ndnn = 1, kmesh_input%num_shells/kmesh_input%higher_order_n !first-order shells ! ndnn: index of shells (first order) ! ndnn2: index of shells (nn-th-order) - ndnn2 = (nn - 1)*kmesh_input%num_shells/kmesh_input%finite_diff_order + ndnn + ndnn2 = (nn - 1)*kmesh_input%num_shells/kmesh_input%higher_order_n + ndnn do nnx = 1 + multi_cumulative, multi(ndnn) + multi_cumulative counter = 0 ! nnx: index of bvectors (first order) ! nnx2: index of bvectors (nn-th-order) - nnx2 = (nn - 1)*kmesh_info%nntot/kmesh_input%finite_diff_order + nnx + nnx2 = (nn - 1)*kmesh_info%nntot/kmesh_input%higher_order_n + nnx bk_local(:, nnx2, nkp) = nn*bk_local(:, nnx, nkp) ! find nnlist and nncell !do loop = 1, (2*kmesh_input%search_supcell_size + 1)**3 @@ -591,12 +572,12 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti ! now check that the completeness relation is satisfied for every kpoint ! We know it is true for kpt=1; but we check the rest to be safe. - ! Eq. B1 in Appendix B PRB 56 12847 (1997) + ! Eq. B1 in Appendix B PRB 56 12847 (1997) - if (.not. (kmesh_input%skip_B1_tests .or. kmesh_input%higher_order_simple)) then + if ((.not. kmesh_input%skip_B1_tests) .and. kmesh_input%higher_order_nearest_shells) then do nkp = 1, num_kpts - do i = 1, kmesh_input%finite_diff_order - if (kmesh_input%higher_order_simple .and. i > 1) exit + do i = 1, kmesh_input%higher_order_n + if ((.not. kmesh_input%higher_order_nearest_shells) .and. i > 1) exit do j = 1, (1 + i)*(1 + 2*i) ! separate cartesian components do l = 0, 2*i @@ -635,7 +616,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti if (print_output%iprint > 0) then write (stdout, '(1x,a)') '| Completeness relation is fully satisfied [Eq. (B1), PRB 56, 12847 (1997)] |' - if ((.not. kmesh_input%higher_order_simple) .and. (kmesh_input%finite_diff_order .gt. 1)) then + if ((kmesh_input%higher_order_nearest_shells) .and. (kmesh_input%higher_order_n .gt. 1)) then write (stdout, '(1x,a)') '| Completeness relations for higher-order are fully satisfied |' endif write (stdout, '(1x,"+",76("-"),"+")') @@ -1471,7 +1452,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca end if ! We check that the new shell is not parrallel to an existing shell (cosine=1) - if (finite_diff_order_local == 1) then + if (higher_order_n_local == 1) then lpar = .false. if (kmesh_input%num_shells > 0) then do loop_bn = 1, multi(shell) @@ -1544,17 +1525,17 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca endif amat(:, :) = 0.0_dp; umat(:, :) = 0.0_dp; vmat(:, :) = 0.0_dp; smat(:, :) = 0.0_dp; singv(:) = 0.0_dp - num_of_eqs = (1 + finite_diff_order_local)*(1 + 2*finite_diff_order_local) - allocate (num_x(finite_diff_order_local, num_of_eqs), stat=ierr) + num_of_eqs = (1 + higher_order_n_local)*(1 + 2*higher_order_n_local) + allocate (num_x(higher_order_n_local, num_of_eqs), stat=ierr) if (ierr /= 0) call set_error_alloc(error, 'Error allocating num_x in kmesh_shell_automatic', comm) - allocate (num_y(finite_diff_order_local, num_of_eqs), stat=ierr) + allocate (num_y(higher_order_n_local, num_of_eqs), stat=ierr) if (ierr /= 0) call set_error_alloc(error, 'Error allocating num_y in kmesh_shell_automatic', comm) - allocate (num_z(finite_diff_order_local, num_of_eqs), stat=ierr) + allocate (num_z(higher_order_n_local, num_of_eqs), stat=ierr) if (ierr /= 0) call set_error_alloc(error, 'Error allocating num_z in kmesh_shell_automatic', comm) !find higher finite-diff weights ! make test suite(compare nnkp files) - do loop_order = 1, finite_diff_order_local + do loop_order = 1, higher_order_n_local call kmesh_get_amat(kmesh_input, amat, bvector, multi, loop_order, & num_x(loop_order, :), num_y(loop_order, :), num_z(loop_order, :)) enddo @@ -1612,7 +1593,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca !check if the conditions including (B1) for finite-difference are satisfied bsat = .true. - do loop_order = 1, finite_diff_order_local + do loop_order = 1, higher_order_n_local call kmesh_check_condition(kmesh_input, bsat, bvector, bweight, multi, loop_order, & num_x(loop_order, :), num_y(loop_order, :), num_z(loop_order, :)) end do @@ -1723,54 +1704,13 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca return end if - !if (kmesh_input%higher_order_simple .and. kmesh_input%finite_diff_order > 1) then - ! ! find the shells containing 2b, 3b, ... , Nb, satisfying the higher-order conditions (using distance) - ! write(stdout,*) "shell ", "shell_higher ", "loop_order ", "dnn(shell) ", "dnn(shell_higher) ", & - ! "abs(dnn(shell_higher)- loop_order*dnn(shell)) < eps5" - ! do shell = 1, kmesh_input%num_shells - ! loop_order = 2 - ! do shell_higher = kmesh_input%num_shells + 1, kmesh_input%search_shells - ! !if (dnn(shell_higher)/loop_order/dnn(shell) < eps5) then - ! write(stdout,*) shell, shell_higher, loop_order, dnn(shell), dnn(shell_higher), & - ! abs(dnn(shell_higher)- loop_order*dnn(shell)) < eps5 - ! if (abs(dnn(shell_higher)- loop_order*dnn(shell)) < eps5) then - ! kmesh_input%shell_list(kmesh_input%num_shells*(loop_order - 1) + shell) = shell_higher - ! loop_order = loop_order + 1 - ! if (loop_order - 1 == kmesh_input%finite_diff_order) exit - ! endif - ! enddo - ! if (kmesh_input%finite_diff_order /= 1 .and. loop_order - 1 /= kmesh_input%finite_diff_order) then - ! if (print_output%iprint > 0) then - ! write (stdout, *) ' ' - ! write (stdout, '(1x,a,a,i3,a)') 'Unable to include all bvectors using the simple algorithm ', & - ! 'with any of the first ', kmesh_input%search_shells, ' shells' - ! write (stdout, '(1x,a)') 'Your cell might be very long, or you may have an irregular MP grid' - ! write (stdout, '(1x,a)') 'Try increasing the parameter search_shells in the win file (default=36)' - ! write (stdout, *) ' ' - ! end if - ! call io_error('kmesh_get_automatic', stdout, seedname) - ! endif - ! ! calculate new bweights w_b, w_2b, ..., w_Nb - ! bweight_temp = bweight(shell) - ! do loop_i = 1, kmesh_input%finite_diff_order - ! fact = 1.0_dp/loop_i**2 - ! do loop_j = 1, kmesh_input%finite_diff_order - ! if (loop_j == loop_i) cycle - ! fact = (fact*loop_j**2)/(loop_j**2 - loop_i**2) - ! enddo - ! bweight(kmesh_input%num_shells*(loop_i - 1) + shell) = bweight_temp*fact - ! enddo - ! enddo - ! kmesh_input%num_shells = kmesh_input%finite_diff_order*kmesh_input%num_shells - !end if - if (print_output%timing_level > 1) call io_stopwatch_stop('kmesh: shell_automatic', timer) return end subroutine kmesh_shell_automatic - subroutine kmesh_shell_simple_reconstruct(kmesh_input, num_kpts, multi, dnn, nnshell, bweight) + subroutine kmesh_shell_reconstruct(kmesh_input, num_kpts, multi, dnn, nnshell, bweight) !================================================ ! !! Include more shells to calculate higher-order finite difference: 2b, 3b, ... Nb shells @@ -1783,9 +1723,9 @@ subroutine kmesh_shell_simple_reconstruct(kmesh_input, num_kpts, multi, dnn, nns ! arguments type(kmesh_input_type), intent(inout) :: kmesh_input integer, intent(in) :: num_kpts - integer, intent(inout) :: multi(max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) ! the number of bvectors in the shell - real(kind=dp), intent(inout) :: dnn(max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) - integer, intent(inout) :: nnshell(num_kpts, max(kmesh_input%search_shells, 6*kmesh_input%finite_diff_order)) + integer, intent(inout) :: multi(max(kmesh_input%search_shells, 6*kmesh_input%higher_order_n)) ! the number of bvectors in the shell + real(kind=dp), intent(inout) :: dnn(max(kmesh_input%search_shells, 6*kmesh_input%higher_order_n)) + integer, intent(inout) :: nnshell(num_kpts, max(kmesh_input%search_shells, 6*kmesh_input%higher_order_n)) real(kind=dp), intent(inout) :: bweight(kmesh_input%max_shells_h) ! local variables @@ -1807,7 +1747,7 @@ subroutine kmesh_shell_simple_reconstruct(kmesh_input, num_kpts, multi, dnn, nns dnn(shell) = temp_dnn(shell) enddo - do order = 2, kmesh_input%finite_diff_order + do order = 2, kmesh_input%higher_order_n do shell = 1, kmesh_input%num_shells kmesh_input%shell_list((order - 1)*kmesh_input%num_shells + shell) = & (order - 1)*kmesh_input%num_shells + shell @@ -1820,9 +1760,9 @@ subroutine kmesh_shell_simple_reconstruct(kmesh_input, num_kpts, multi, dnn, nns ! calculate new bweights w_b, w_2b, ..., w_Nb do shell = 1, kmesh_input%num_shells bweight_temp = bweight(shell) - do order = 1, kmesh_input%finite_diff_order + do order = 1, kmesh_input%higher_order_n fact = 1.0_dp/REAL(order**2, DP) - do loop_j = 1, kmesh_input%finite_diff_order + do loop_j = 1, kmesh_input%higher_order_n if (loop_j == order) cycle fact = (fact*REAL(loop_j**2, DP))/REAL(loop_j**2 - order**2, DP) enddo @@ -1830,11 +1770,11 @@ subroutine kmesh_shell_simple_reconstruct(kmesh_input, num_kpts, multi, dnn, nns enddo enddo - kmesh_input%num_shells = kmesh_input%num_shells*kmesh_input%finite_diff_order + kmesh_input%num_shells = kmesh_input%num_shells*kmesh_input%higher_order_n return - end subroutine kmesh_shell_simple_reconstruct + end subroutine kmesh_shell_reconstruct !================================================ subroutine kmesh_get_amat(kmesh_input, amat, bvector, multi, loop_order, num_x, num_y, num_z) diff --git a/src/readwrite.F90 b/src/readwrite.F90 index f183c02f7..2f0dc43d7 100644 --- a/src/readwrite.F90 +++ b/src/readwrite.F90 @@ -709,23 +709,25 @@ subroutine w90_readwrite_read_kmesh_data(settings, kmesh_input, error, comm) call set_error_input(error, 'Error: search_supcell_size must be positive', comm) return endif - call w90_readwrite_get_keyword(settings, 'finite_diff_order', found, error, comm, & - i_value=kmesh_input%finite_diff_order) + call w90_readwrite_get_keyword(settings, 'higher_order_n', found, error, comm, & + i_value=kmesh_input%higher_order_n) if (allocated(error)) return - if (kmesh_input%finite_diff_order < 0) then - call set_error_input(error, 'Error: finite_diff_order must be positive', comm) + if (kmesh_input%higher_order_n < 0) then + call set_error_input(error, 'Error: higher_order_n must be positive', comm) return endif - n = kmesh_input%finite_diff_order + n = kmesh_input%higher_order_n kmesh_input%max_shells_h = n*(4*n**2 + 15*n + 17)/6 kmesh_input%max_shells_aux = kmesh_input%max_shells_h kmesh_input%num_nnmax_h = 2*kmesh_input%max_shells_h - call w90_readwrite_get_keyword(settings, 'higher_order_simple', found, error, comm, & - l_value=kmesh_input%higher_order_simple) + call w90_readwrite_get_keyword(settings, 'higher_order_nearest_shells', found, error, comm, & + l_value=kmesh_input%higher_order_nearest_shells) if (allocated(error)) return - if (kmesh_input%higher_order_simple) kmesh_input%max_shells_aux = 6 + if (.not. kmesh_input%higher_order_nearest_shells) then + kmesh_input%max_shells_aux = 6 + endif call w90_readwrite_get_keyword(settings, 'kmesh_tol', found, error, comm, & r_value=kmesh_input%tol) @@ -970,11 +972,11 @@ subroutine w90_readwrite_clear_keywords(settings, comm) call w90_readwrite_get_keyword(settings, 'fermi_surface_num_points', found, error, comm) call w90_readwrite_get_keyword(settings, 'fermi_surface_plot_format', found, error, comm) call w90_readwrite_get_keyword(settings, 'fermi_surface_plot', found, error, comm) - call w90_readwrite_get_keyword(settings, 'finite_diff_order', found, error, comm) call w90_readwrite_get_keyword(settings, 'fixed_step', found, error, comm) call w90_readwrite_get_keyword(settings, 'gamma_only', found, error, comm) call w90_readwrite_get_keyword(settings, 'guiding_centres', found, error, comm) - call w90_readwrite_get_keyword(settings, 'higher_order_simple', found, error, comm) + call w90_readwrite_get_keyword(settings, 'higher_order_n', found, error, comm) + call w90_readwrite_get_keyword(settings, 'higher_order_nearest_shells', found, error, comm) call w90_readwrite_get_keyword(settings, 'hr_cutoff', found, error, comm) call w90_readwrite_get_keyword(settings, 'hr_plot', found, error, comm) call w90_readwrite_get_keyword(settings, 'iprint', found, error, comm) diff --git a/src/types.F90 b/src/types.F90 index 9959cb816..450260bf9 100644 --- a/src/types.F90 +++ b/src/types.F90 @@ -121,12 +121,12 @@ module w90_types !!================================================== integer :: num_shells = 0 !! no longer an input keyword + !! higher-order finite difference integer :: max_shells_h ! \sum ((3, 2i)) (combination with rep.) = n(4n*2 + 15n + 17)/6 integer :: max_shells_aux ! = 6 for higher-order simple algorithm, n(4n*2 + 15n + 17)/6 for search algorithm integer :: num_nnmax_h ! 2*n(4n*2 + 15n + 17)/6 - integer :: finite_diff_order = 1 - !! Higher-order of finite-difference formulas - logical :: higher_order_simple = .true. + integer :: higher_order_n = 1 + logical :: higher_order_nearest_shells = .false. ! experimental feature !! A simpler algorithm of determining bvectors logical :: skip_B1_tests = .false. !! do not check the B1 condition From c0537c9ddbd9539bdb395f8aeaaf8eb9fa9be346 Mon Sep 17 00:00:00 2001 From: manxkim Date: Mon, 29 Apr 2024 18:09:02 +0900 Subject: [PATCH 30/45] renaming parameters_2 --- src/kmesh.F90 | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 1be0a2019..7e728a8f6 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -1408,12 +1408,12 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca integer, dimension(:, :), allocatable :: num_x, num_y, num_z logical :: bsat real(kind=dp) :: bweight_temp, fact - integer :: loop_order, num_of_eqs, num_of_eqs_prev, finite_diff_order_local, shell_higher + integer :: loop_order, num_of_eqs, num_of_eqs_prev, higher_order_n_local, shell_higher - if (kmesh_input%higher_order_simple) then - finite_diff_order_local = 1 !simple algorithm -> find 1st-order b and weights first in this subroutine + if (.not. kmesh_input%higher_order_nearest_shells) then + higher_order_n_local = kmesh_input%higher_order_n else - finite_diff_order_local = kmesh_input%finite_diff_order + higher_order_n_local = 1 !find 1st-order b and weights first in this subroutine endif target = 0.0_dp; target(1) = 1.0_dp; target(3) = 1.0_dp; target(6) = 1.0_dp From c46469b328f9f705f756dc0434900fab9e47344b Mon Sep 17 00:00:00 2001 From: manxkim Date: Mon, 29 Apr 2024 18:11:38 +0900 Subject: [PATCH 31/45] logic fixed --- src/kmesh.F90 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 7e728a8f6..2b680c46c 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -1410,7 +1410,7 @@ subroutine kmesh_shell_automatic(kmesh_input, print_output, bweight, dnn, kpt_ca real(kind=dp) :: bweight_temp, fact integer :: loop_order, num_of_eqs, num_of_eqs_prev, higher_order_n_local, shell_higher - if (.not. kmesh_input%higher_order_nearest_shells) then + if (kmesh_input%higher_order_nearest_shells) then higher_order_n_local = kmesh_input%higher_order_n else higher_order_n_local = 1 !find 1st-order b and weights first in this subroutine From f42e15b7b21fe2b7c7c76873d9fdc219cb1a9cf0 Mon Sep 17 00:00:00 2001 From: manxkim Date: Mon, 29 Apr 2024 20:52:46 +0900 Subject: [PATCH 32/45] explanation on i,j,l added --- src/kmesh.F90 | 9 ++++++++- 1 file changed, 8 insertions(+), 1 deletion(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 2b680c46c..1d0d447b4 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -578,8 +578,15 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti do nkp = 1, num_kpts do i = 1, kmesh_input%higher_order_n if ((.not. kmesh_input%higher_order_nearest_shells) .and. i > 1) exit - do j = 1, (1 + i)*(1 + 2*i) + do j = 1, (1 + i)*(1 + 2*i) ! multiset coefficient ((3, 2i)) = (1 + i)*(1 + 2*i), 3: x,y,z, 2i: num. of b ! separate cartesian components + ! e.g. for i=1 + ! j=1: num_x=2, num_y=0, num_z=0 + ! j=2: num_x=1, num_y=1, num_z=0 + ! j=3: num_x=0, num_y=2, num_z=0 + ! j=4: num_x=1, num_y=0, num_z=1 + ! j=5: num_x=0, num_y=1, num_z=1 + ! j=6: num_x=0, num_y=0, num_z=2 do l = 0, 2*i if ((2*i + 1)*l - l*(l - 1)/2 <= j - 1 & .and. (2*i + 1)*(l + 1) - (l + 1)*l/2 > j - 1) then From 0e5010aa472b6eb85b3513f53bd511ecf0a9048b Mon Sep 17 00:00:00 2001 From: manxkim Date: Mon, 29 Apr 2024 20:53:06 +0900 Subject: [PATCH 33/45] fixed an incorrectly fixed conflict --- src/kmesh.F90 | 21 +++++++++++---------- 1 file changed, 11 insertions(+), 10 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 1d0d447b4..a2ba68b59 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -606,16 +606,17 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti *(bk_local(2, nnx, nkp)**num_y(j))*(bk_local(3, nnx, nkp)**num_z(j)) enddo enddo - if ((i .eq. j) .and. (abs(ddelta - 1.0_dp) .gt. kmesh_input%tol)) then - if (print_output%iprint > 0) write (stdout, '(1x,2i3,f12.8)') i, j, ddelta - call set_error_fatal(error, 'Eq. (B1) not satisfied in kmesh_get (1)', comm) - return - endif - if ((i .ne. j) .and. (abs(ddelta) .gt. kmesh_input%tol)) then - if (print_output%iprint > 0) write (stdout, '(1x,2i3,f12.8)') i, j, ddelta - call set_error_fatal(error, 'Eq. (B1) not satisfied in kmesh_get (2)', comm) - return - endif + if (i .eq. 1 .and. (j .eq. 1 .or. j .eq. 3 .or. j .eq. 6)) then + if (abs(ddelta - 1.0_dp) .gt. kmesh_input%tol) then + if (print_output%iprint > 0) write (stdout, '(1x,3i3,f12.8)') num_x(j), num_y(j), num_z(j), ddelta + call set_error_fatal(error, 'Eq. (B1) not satisfied in kmesh_get (1)', comm) + endif + else + if (abs(ddelta) .gt. kmesh_input%tol) then + if (print_output%iprint > 0) write (stdout, '(1x,3i3,f12.8)') num_x(j), num_y(j), num_z(j), ddelta + call set_error_fatal(error, 'Eq. (B1) not satisfied in kmesh_get (2)', comm) + endif + end if enddo enddo enddo From 1f314a393bd2a689856b3be9120acfd4a61909a6 Mon Sep 17 00:00:00 2001 From: manxkim Date: Mon, 29 Apr 2024 21:58:15 +0900 Subject: [PATCH 34/45] display of used shells, output of tests --- src/kmesh.F90 | 19 +- ...hmark.out.default.inp=wannier.win.args=-pp | 1038 ++++--- .../tests/testw90_nnkpt_higher/wannier.win | 2 +- ...hmark.out.default.inp=wannier.win.args=-pp | 2539 +++++++++++++++-- .../tests/testw90_nnkpt_higher2/wannier.win | 6 +- 5 files changed, 2984 insertions(+), 620 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index a2ba68b59..1460beb06 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -263,7 +263,11 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti end if if (print_output%iprint > 0) then - write (stdout, '(1x,a)', advance='no') '| The following shells are used: ' + if (kmesh_input%higher_order_nearest_shells) then + write (stdout, '(1x,a)', advance='no') '| The following shells are used: ' + else + write (stdout, '(1x,a)', advance='no') '| The following shells and their multiples are used: ' + endif do ndnn = 1, kmesh_input%num_shells if (ndnn .eq. kmesh_input%num_shells) then write (stdout, '(i3,1x)', advance='no') kmesh_input%shell_list(ndnn) @@ -271,9 +275,12 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti write (stdout, '(i3,",")', advance='no') kmesh_input%shell_list(ndnn) endif enddo - do l = 1, 11 - kmesh_input%num_shells + do l = 1, 6 - kmesh_input%num_shells write (stdout, '(4x)', advance='no') enddo + if (kmesh_input%higher_order_nearest_shells) then + write (stdout, '(20x)', advance='no') + endif write (stdout, '("|")') endif !end if @@ -545,7 +552,13 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti do ndnnx = 1, kmesh_input%num_shells ndnn = kmesh_input%shell_list(ndnnx) - if (print_output%iprint > 0) write (stdout, '(1x,a,24x,i3,13x,i3,33x,a)') '|', ndnn, nnshell(1, ndnn), '|' + if (print_output%iprint > 0) then + if (ndnn > 1 .and. .not. kmesh_input%higher_order_nearest_shells) then + write (stdout, '(1x,a,22x,i3,a,13x,i3,33x,a)') '|', ndnn, 'x1', nnshell(1, ndnn), '|' + else + write (stdout, '(1x,a,24x,i3,13x,i3,33x,a)') '|', ndnn, nnshell(1, ndnn), '|' + endif + endif end do if (print_output%iprint > 0) write (stdout, '(1x,"+",76("-"),"+")') diff --git a/test-suite/tests/testw90_nnkpt_higher/benchmark.out.default.inp=wannier.win.args=-pp b/test-suite/tests/testw90_nnkpt_higher/benchmark.out.default.inp=wannier.win.args=-pp index 13015bef2..f9381415f 100644 --- a/test-suite/tests/testw90_nnkpt_higher/benchmark.out.default.inp=wannier.win.args=-pp +++ b/test-suite/tests/testw90_nnkpt_higher/benchmark.out.default.inp=wannier.win.args=-pp @@ -1,346 +1,706 @@ +# File written on 29Apr2024 at 21:54:07 - +---------------------------------------------------+ - | | - | WANNIER90 | - | | - +---------------------------------------------------+ - | | - | Welcome to the Maximally-Localized | - | Generalized Wannier Functions code | - | http://www.wannier.org | - | | - | | - | Wannier90 Developer Group: | - | Giovanni Pizzi (EPFL) | - | Valerio Vitale (Cambridge) | - | David Vanderbilt (Rutgers University) | - | Nicola Marzari (EPFL) | - | Ivo Souza (Universidad del Pais Vasco) | - | Arash A. Mostofi (Imperial College London) | - | Jonathan R. Yates (University of Oxford) | - | | - | For the full list of Wannier90 3.x authors, | - | please check the code documentation and the | - | README on the GitHub page of the code | - | | - | | - | Please cite | - | | - | [ref] "Wannier90 as a community code: | - | new features and applications", | - | G. Pizzi et al., J. Phys. Cond. Matt. 32, | - | 165902 (2020). | - | http://doi.org/10.1088/1361-648X/ab51ff | - | | - | in any publications arising from the use of | - | this code. For the method please cite | - | | - | [ref] "Maximally Localized Generalised Wannier | - | Functions for Composite Energy Bands" | - | N. Marzari and D. Vanderbilt | - | Phys. Rev. B 56 12847 (1997) | - | | - | [ref] "Maximally Localized Wannier Functions | - | for Entangled Energy Bands" | - | I. Souza, N. Marzari and D. Vanderbilt | - | Phys. Rev. B 65 035109 (2001) | - | | - | | - | Copyright (c) 1996-2020 | - | The Wannier90 Developer Group and | - | individual contributors | - | | - | Release: 3.1.0 5th March 2020 | - | | - | This program is free software; you can | - | redistribute it and/or modify it under the terms | - | of the GNU General Public License as published by | - | the Free Software Foundation; either version 2 of | - | the License, or (at your option) any later version| - | | - | This program is distributed in the hope that it | - | will be useful, but WITHOUT ANY WARRANTY; without | - | even the implied warranty of MERCHANTABILITY or | - | FITNESS FOR A PARTICULAR PURPOSE. See the GNU | - | General Public License for more details. | - | | - | You should have received a copy of the GNU General| - | Public License along with this program; if not, | - | write to the Free Software Foundation, Inc., | - | 675 Mass Ave, Cambridge, MA 02139, USA. | - | | - +---------------------------------------------------+ - | Execution started on 3Mar2022 at 11:22:03 | - +---------------------------------------------------+ - - ****************************************************************************** - * -> Using CODATA 2006 constant values * - * (http://physics.nist.gov/cuu/Constants/index.html) * - * -> Using Bohr value from CODATA * - ****************************************************************************** - +calc_only_A : F - Running in serial (with parallel executable) +begin real_lattice + -1.9559977 0.0000000 1.9559977 + 0.0000000 1.9559977 1.9559977 + -1.9559977 1.9559977 0.0000000 +end real_lattice - ------ - SYSTEM - ------ +begin recip_lattice + -1.6061331 -1.6061331 1.6061331 + 1.6061331 1.6061331 1.6061331 + -1.6061331 1.6061331 -1.6061331 +end recip_lattice - Lattice Vectors (Ang) - a_1 -1.955998 0.000000 1.955998 - a_2 0.000000 1.955998 1.955998 - a_3 -1.955998 1.955998 0.000000 +begin kpoints + 27 + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.33333333 + 0.00000000 0.00000000 0.66666667 + 0.00000000 0.33333333 0.00000000 + 0.00000000 0.33333333 0.33333333 + 0.00000000 0.33333333 0.66666667 + 0.00000000 0.66666667 0.00000000 + 0.00000000 0.66666667 0.33333333 + 0.00000000 0.66666667 0.66666667 + 0.33333333 0.00000000 0.00000000 + 0.33333333 0.00000000 0.33333333 + 0.33333333 0.00000000 0.66666667 + 0.33333333 0.33333333 0.00000000 + 0.33333333 0.33333333 0.33333333 + 0.33333333 0.33333333 0.66666667 + 0.33333333 0.66666667 0.00000000 + 0.33333333 0.66666667 0.33333333 + 0.33333333 0.66666667 0.66666667 + 0.66666667 0.00000000 0.00000000 + 0.66666667 0.00000000 0.33333333 + 0.66666667 0.00000000 0.66666667 + 0.66666667 0.33333333 0.00000000 + 0.66666667 0.33333333 0.33333333 + 0.66666667 0.33333333 0.66666667 + 0.66666667 0.66666667 0.00000000 + 0.66666667 0.66666667 0.33333333 + 0.66666667 0.66666667 0.66666667 +end kpoints - Unit Cell Volume: 14.96701 (Ang^3) +begin projections + 0 +end projections - Reciprocal-Space Vectors (Ang^-1) - b_1 -1.606133 -1.606133 1.606133 - b_2 1.606133 1.606133 1.606133 - b_3 -1.606133 1.606133 -1.606133 - - *----------------------------------------------------------------------------* - | Site Fractional Coordinate Cartesian Coordinate (Ang) | - +----------------------------------------------------------------------------+ - | Pt 1 0.00000 0.00000 0.00000 | 0.00000 0.00000 0.00000 | - *----------------------------------------------------------------------------* - ------------ - K-POINT GRID - ------------ - - Grid size = 3 x 3 x 3 Total points = 27 - - - *---------------------------------- MAIN ------------------------------------* - | Number of Wannier Functions : 18 | - | Number of Objective Wannier Functions : 18 | - | Number of input Bloch states : 18 | - | Output verbosity (1=low, 5=high) : 1 | - | Timing Level (1=low, 5=high) : 1 | - | Optimisation (0=memory, 3=speed) : 3 | - | Length Unit : Ang | - | Post-processing setup (write *.nnkp) : T | - | Using Gamma-only branch of algorithms : F | - *----------------------------------------------------------------------------* - *------------------------------- WANNIERISE ---------------------------------* - | Total number of iterations : 100 | - | Number of CG steps before reset : 5 | - | Trial step length for line search : 2.000 | - | Convergence tolerence : 0.100E-09 | - | Convergence window : -1 | - | Iterations between writing output : 1 | - | Iterations between backing up to disk : 100 | - | Write r^2_nm to file : F | - | Write xyz WF centres to file : F | - | Write on-site energies <0n|H|0n> to file : F | - | Use guiding centre to control phases : F | - | Use phases for initial projections : F | - *----------------------------------------------------------------------------* - Time to read parameters 0.000 (sec) +begin nnkpts + 24 + 1 2 0 0 0 + 1 4 0 0 0 + 1 10 0 0 0 + 1 14 0 0 0 + 1 0 0 0 0 + 1 0 0 0 0 + 1 0 0 0 0 + 1 0 0 0 0 + 1 0 0 0 0 + 1 0 0 0 0 + 1 0 0 0 0 + 1 0 0 0 0 + 1 3 0 0 -1 + 1 7 0 -1 0 + 1 19 -1 0 0 + 1 27 -1 -1 -1 + 1 0 0 0 0 + 1 0 0 0 0 + 1 0 0 0 0 + 1 0 0 0 0 + 1 0 0 0 0 + 1 0 0 0 0 + 1 0 0 0 0 + 1 0 0 0 0 + 2 3 0 0 0 + 2 5 0 0 0 + 2 11 0 0 0 + 2 15 0 0 0 + 2 0 0 0 0 + 2 0 0 0 0 + 2 0 0 0 0 + 2 0 0 0 0 + 2 0 0 0 0 + 2 0 0 0 0 + 2 0 0 0 0 + 2 0 0 0 0 + 2 1 0 0 0 + 2 8 0 -1 0 + 2 20 -1 0 0 + 2 25 -1 -1 0 + 2 0 0 0 0 + 2 0 0 0 0 + 2 0 0 0 0 + 2 0 0 0 0 + 2 0 0 0 0 + 2 0 0 0 0 + 2 0 0 0 0 + 2 0 0 0 0 + 3 1 0 0 1 + 3 6 0 0 0 + 3 12 0 0 0 + 3 13 0 0 1 + 3 0 0 0 0 + 3 0 0 0 0 + 3 0 0 0 0 + 3 0 0 0 0 + 3 0 0 0 0 + 3 0 0 0 0 + 3 0 0 0 0 + 3 0 0 0 0 + 3 2 0 0 0 + 3 9 0 -1 0 + 3 21 -1 0 0 + 3 26 -1 -1 0 + 3 0 0 0 0 + 3 0 0 0 0 + 3 0 0 0 0 + 3 0 0 0 0 + 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0 0 0 + 26 0 0 0 0 + 26 0 0 0 0 + 26 0 0 0 0 + 26 0 0 0 0 + 26 0 0 0 0 + 26 0 0 0 0 + 26 25 0 0 0 + 26 23 0 0 0 + 26 17 0 0 0 + 26 13 0 0 0 + 26 0 0 0 0 + 26 0 0 0 0 + 26 0 0 0 0 + 26 0 0 0 0 + 26 0 0 0 0 + 26 0 0 0 0 + 26 0 0 0 0 + 26 0 0 0 0 + 27 25 0 0 1 + 27 21 0 1 0 + 27 9 1 0 0 + 27 1 1 1 1 + 27 0 0 0 0 + 27 0 0 0 0 + 27 0 0 0 0 + 27 0 0 0 0 + 27 0 0 0 0 + 27 0 0 0 0 + 27 0 0 0 0 + 27 0 0 0 0 + 27 26 0 0 0 + 27 24 0 0 0 + 27 18 0 0 0 + 27 14 0 0 0 + 27 0 0 0 0 + 27 0 0 0 0 + 27 0 0 0 0 + 27 0 0 0 0 + 27 0 0 0 0 + 27 0 0 0 0 + 27 0 0 0 0 + 27 0 0 0 0 +end nnkpts - *---------------------------------- K-MESH ----------------------------------* - +----------------------------------------------------------------------------+ - | Distance to Nearest-Neighbour Shells | - | ------------------------------------ | - | Shell Distance (Ang^-1) Multiplicity | - | ----- ----------------- ------------ | - | 1 0.927301 8 | - | 2 1.070755 6 | - | 3 1.514277 12 | - | 4 1.775647 24 | - | 5 1.854603 8 | - | 6 2.141511 6 | - | 7 2.333657 24 | - | 8 2.394282 24 | - | 9 2.622804 24 | - | 10 2.781904 32 | - | 11 3.028554 12 | - | 12 3.167337 48 | - | 13 3.212266 30 | - | 14 3.386026 24 | - | 15 3.510706 24 | - | 16 3.551294 24 | - | 17 3.709205 8 | - | 18 3.823361 48 | - | 19 3.860663 24 | - | 20 4.006400 48 | - | 21 4.112314 72 | - | 22 4.283022 6 | - | 23 4.382255 24 | - | 24 4.414838 48 | - | 25 4.542830 36 | - | 26 4.636507 56 | - | 27 4.667315 24 | - | 28 4.788564 24 | - | 29 4.877523 72 | - | 30 4.906818 48 | - | 31 5.022288 24 | - | 32 5.107178 48 | - | 33 5.245609 24 | - | 34 5.326941 72 | - | 35 5.353777 30 | - | 36 5.459803 72 | - +----------------------------------------------------------------------------+ - | The b-vectors are chosen automatically | - | SVD found small singular value, Rejecting this shell and trying the next | - | The following shells are used: 1, 2, 3, 4, 5, 7 | - +----------------------------------------------------------------------------+ - | Shell # Nearest-Neighbours | - | ----- -------------------- | - | 1 8 | - | 2 6 | - | 3 12 | - | 4 24 | - | 5 8 | - | 7 24 | - +----------------------------------------------------------------------------+ - | Completeness relation is fully satisfied [Eq. (B1), PRB 56, 12847 (1997)] | - | Completeness relations for higher-order are fully satisfied | - +----------------------------------------------------------------------------+ - | b_k Vectors (Ang^-1) and Weights (Ang^2) | - | ---------------------------------------- | - | No. b_k(x) b_k(y) b_k(z) w_b | - | --- -------------------------------- -------- | - | 1 -0.535378 0.535378 -0.535378 0.659001 | - | 2 0.535378 0.535378 0.535378 0.659001 | - | 3 -0.535378 -0.535378 0.535378 0.659001 | - | 4 -0.535378 0.535378 0.535378 0.659001 | - | 5 0.535378 -0.535378 0.535378 0.659001 | - | 6 -0.535378 -0.535378 -0.535378 0.659001 | - | 7 0.535378 0.535378 -0.535378 0.659001 | - | 8 0.535378 -0.535378 -0.535378 0.659001 | - | 9 0.000000 1.070755 0.000000 0.155059 | - | 10 -1.070755 0.000000 0.000000 0.155059 | - | 11 0.000000 0.000000 1.070755 0.155059 | - | 12 0.000000 -1.070755 0.000000 0.155059 | - | 13 1.070755 0.000000 0.000000 0.155059 | - | 14 0.000000 0.000000 -1.070755 0.155059 | - | 15 -1.070755 1.070755 -0.000000 -0.077529 | - | 16 0.000000 1.070755 1.070755 -0.077529 | - | 17 -1.070755 -0.000000 1.070755 -0.077529 | - | 18 1.070755 0.000000 1.070755 -0.077529 | - | 19 0.000000 -1.070755 1.070755 -0.077529 | - | 20 -1.070755 0.000000 -1.070755 -0.077529 | - | 21 -1.070755 -1.070755 0.000000 -0.077529 | - | 22 0.000000 1.070755 -1.070755 -0.077529 | - | 23 1.070755 1.070755 0.000000 -0.077529 | - | 24 1.070755 0.000000 -1.070755 -0.077529 | - | 25 -0.000000 -1.070755 -1.070755 -0.077529 | - | 26 1.070755 -1.070755 0.000000 -0.077529 | - | 27 -0.535378 1.606133 -0.535378 -0.004846 | - | 28 0.535378 1.606133 0.535378 -0.004846 | - | 29 -1.606133 0.535378 -0.535378 -0.004846 | - | 30 0.535378 0.535378 1.606133 -0.004846 | - | 31 -0.535378 1.606133 0.535378 -0.004846 | - | 32 -1.606133 -0.535378 0.535378 -0.004846 | - | 33 -0.535378 -0.535378 1.606133 -0.004846 | - | 34 -1.606133 0.535378 0.535378 -0.004846 | - | 35 -0.535378 0.535378 1.606133 -0.004846 | - | 36 0.535378 -0.535378 1.606133 -0.004846 | - | 37 -1.606133 -0.535378 -0.535378 -0.004846 | - | 38 0.535378 1.606133 -0.535378 -0.004846 | - | 39 0.535378 -0.535378 -1.606133 -0.004846 | - | 40 1.606133 -0.535378 -0.535378 -0.004846 | - | 41 0.535378 -1.606133 -0.535378 -0.004846 | - | 42 -0.535378 -1.606133 -0.535378 -0.004846 | - | 43 0.535378 -1.606133 0.535378 -0.004846 | - | 44 -0.535378 -1.606133 0.535378 -0.004846 | - | 45 1.606133 0.535378 -0.535378 -0.004846 | - | 46 1.606133 -0.535378 0.535378 -0.004846 | - | 47 1.606133 0.535378 0.535378 -0.004846 | - | 48 0.535378 0.535378 -1.606133 -0.004846 | - | 49 -0.535378 -0.535378 -1.606133 -0.004846 | - | 50 -0.535378 0.535378 -1.606133 -0.004846 | - | 51 -1.070755 1.070755 -1.070755 -0.026651 | - | 52 1.070755 1.070755 1.070755 -0.026651 | - | 53 -1.070755 -1.070755 1.070755 -0.026651 | - | 54 -1.070755 1.070755 1.070755 -0.026651 | - | 55 1.070755 -1.070755 1.070755 -0.026651 | - | 56 -1.070755 -1.070755 -1.070755 -0.026651 | - | 57 1.070755 1.070755 -1.070755 -0.026651 | - | 58 1.070755 -1.070755 -1.070755 -0.026651 | - | 59 -1.606133 -0.535378 1.606133 0.004846 | - | 60 -1.606133 0.535378 1.606133 0.004846 | - | 61 0.535378 1.606133 1.606133 0.004846 | - | 62 -0.535378 1.606133 1.606133 0.004846 | - | 63 -1.606133 1.606133 -0.535378 0.004846 | - | 64 -1.606133 1.606133 0.535378 0.004846 | - | 65 1.606133 -0.535378 1.606133 0.004846 | - | 66 1.606133 0.535378 1.606133 0.004846 | - | 67 0.535378 -1.606133 1.606133 0.004846 | - | 68 -0.535378 -1.606133 1.606133 0.004846 | - | 69 -1.606133 -0.535378 -1.606133 0.004846 | - | 70 -1.606133 0.535378 -1.606133 0.004846 | - | 71 -1.606133 -1.606133 -0.535378 0.004846 | - | 72 -1.606133 -1.606133 0.535378 0.004846 | - | 73 0.535378 1.606133 -1.606133 0.004846 | - | 74 1.606133 1.606133 -0.535378 0.004846 | - | 75 -0.535378 1.606133 -1.606133 0.004846 | - | 76 1.606133 1.606133 0.535378 0.004846 | - | 77 1.606133 -0.535378 -1.606133 0.004846 | - | 78 1.606133 0.535378 -1.606133 0.004846 | - | 79 0.535378 -1.606133 -1.606133 0.004846 | - | 80 1.606133 -1.606133 -0.535378 0.004846 | - | 81 -0.535378 -1.606133 -1.606133 0.004846 | - | 82 1.606133 -1.606133 0.535378 0.004846 | - +----------------------------------------------------------------------------+ - | b_k Directions (Ang^-1) | - | ----------------------- | - | No. x y z | - | --- -------------------------------- | - | 1 -0.535378 0.535378 -0.535378 | - | 2 0.535378 0.535378 0.535378 | - | 3 -0.535378 -0.535378 0.535378 | - | 4 -0.535378 0.535378 0.535378 | - | 5 0.000000 1.070755 0.000000 | - | 6 -1.070755 0.000000 0.000000 | - | 7 0.000000 0.000000 1.070755 | - | 8 -1.070755 1.070755 -0.000000 | - | 9 0.000000 1.070755 1.070755 | - | 10 -1.070755 -0.000000 1.070755 | - | 11 1.070755 0.000000 1.070755 | - | 12 0.000000 -1.070755 1.070755 | - | 13 -1.070755 -1.070755 0.000000 | - | 14 -0.535378 1.606133 -0.535378 | - | 15 0.535378 1.606133 0.535378 | - | 16 -1.606133 0.535378 -0.535378 | - | 17 0.535378 0.535378 1.606133 | - | 18 -0.535378 1.606133 0.535378 | - | 19 -1.606133 -0.535378 0.535378 | - | 20 -0.535378 -0.535378 1.606133 | - | 21 -1.606133 0.535378 0.535378 | - | 22 -0.535378 0.535378 1.606133 | - | 23 0.535378 -0.535378 1.606133 | - | 24 -1.606133 -0.535378 -0.535378 | - | 25 0.535378 1.606133 -0.535378 | - | 26 -1.070755 1.070755 -1.070755 | - | 27 1.070755 1.070755 1.070755 | - | 28 -1.070755 -1.070755 1.070755 | - | 29 -1.070755 1.070755 1.070755 | - | 30 -1.606133 -0.535378 1.606133 | - | 31 -1.606133 0.535378 1.606133 | - | 32 0.535378 1.606133 1.606133 | - | 33 -0.535378 1.606133 1.606133 | - | 34 -1.606133 1.606133 -0.535378 | - | 35 -1.606133 1.606133 0.535378 | - | 36 1.606133 -0.535378 1.606133 | - | 37 1.606133 0.535378 1.606133 | - | 38 0.535378 -1.606133 1.606133 | - | 39 -0.535378 -1.606133 1.606133 | - | 40 -1.606133 -1.606133 -0.535378 | - | 41 -1.606133 -1.606133 0.535378 | - +----------------------------------------------------------------------------+ - - Time to get kmesh 0.406 (sec) - *============================================================================* - | MEMORY ESTIMATE | - | Maximum RAM allocated during each phase of the calculation | - *============================================================================* - | Wannierise: 24.07 Mb | - | plot_wannier: 24.07 Mb | - *----------------------------------------------------------------------------* - - Starting a new Wannier90 calculation ... - - Time to write kmesh 0.406 (sec) - - Exiting... wannier.nnkp written. +begin exclude_bands + 0 +end exclude_bands diff --git a/test-suite/tests/testw90_nnkpt_higher/wannier.win b/test-suite/tests/testw90_nnkpt_higher/wannier.win index 70c8eed99..2ed6250e5 100644 --- a/test-suite/tests/testw90_nnkpt_higher/wannier.win +++ b/test-suite/tests/testw90_nnkpt_higher/wannier.win @@ -1,5 +1,5 @@ num_wann = 18 -finite_diff_order = 3 +higher_order_n = 3 begin unit_cell_cart bohr diff --git a/test-suite/tests/testw90_nnkpt_higher2/benchmark.out.default.inp=wannier.win.args=-pp b/test-suite/tests/testw90_nnkpt_higher2/benchmark.out.default.inp=wannier.win.args=-pp index f4ff6c87d..3095219bd 100644 --- a/test-suite/tests/testw90_nnkpt_higher2/benchmark.out.default.inp=wannier.win.args=-pp +++ b/test-suite/tests/testw90_nnkpt_higher2/benchmark.out.default.inp=wannier.win.args=-pp @@ -1,281 +1,2272 @@ +# File written on 29Apr2024 at 21:57:53 - +---------------------------------------------------+ - | | - | WANNIER90 | - | | - +---------------------------------------------------+ - | | - | Welcome to the Maximally-Localized | - | Generalized Wannier Functions code | - | http://www.wannier.org | - | | - | | - | Wannier90 Developer Group: | - | Giovanni Pizzi (EPFL) | - | Valerio Vitale (Cambridge) | - | David Vanderbilt (Rutgers University) | - | Nicola Marzari (EPFL) | - | Ivo Souza (Universidad del Pais Vasco) | - | Arash A. Mostofi (Imperial College London) | - | Jonathan R. Yates (University of Oxford) | - | | - | For the full list of Wannier90 3.x authors, | - | please check the code documentation and the | - | README on the GitHub page of the code | - | | - | | - | Please cite | - | | - | [ref] "Wannier90 as a community code: | - | new features and applications", | - | G. Pizzi et al., J. Phys. Cond. Matt. 32, | - | 165902 (2020). | - | http://doi.org/10.1088/1361-648X/ab51ff | - | | - | in any publications arising from the use of | - | this code. For the method please cite | - | | - | [ref] "Maximally Localized Generalised Wannier | - | Functions for Composite Energy Bands" | - | N. Marzari and D. Vanderbilt | - | Phys. Rev. B 56 12847 (1997) | - | | - | [ref] "Maximally Localized Wannier Functions | - | for Entangled Energy Bands" | - | I. Souza, N. Marzari and D. Vanderbilt | - | Phys. Rev. B 65 035109 (2001) | - | | - | | - | Copyright (c) 1996-2020 | - | The Wannier90 Developer Group and | - | individual contributors | - | | - | Release: 3.1.0 5th March 2020 | - | | - | This program is free software; you can | - | redistribute it and/or modify it under the terms | - | of the GNU General Public License as published by | - | the Free Software Foundation; either version 2 of | - | the License, or (at your option) any later version| - | | - | This program is distributed in the hope that it | - | will be useful, but WITHOUT ANY WARRANTY; without | - | even the implied warranty of MERCHANTABILITY or | - | FITNESS FOR A PARTICULAR PURPOSE. See the GNU | - | General Public License for more details. | - | | - | You should have received a copy of the GNU General| - | Public License along with this program; if not, | - | write to the Free Software Foundation, Inc., | - | 675 Mass Ave, Cambridge, MA 02139, USA. | - | | - +---------------------------------------------------+ - | Execution started on 8Mar2022 at 17:38:22 | - +---------------------------------------------------+ - - ****************************************************************************** - * -> Using CODATA 2006 constant values * - * (http://physics.nist.gov/cuu/Constants/index.html) * - * -> Using Bohr value from CODATA * - ****************************************************************************** - +calc_only_A : F - Running in serial (with parallel executable) +begin real_lattice + -1.9559977 0.0000000 1.9559977 + 0.0000000 1.9559977 1.9559977 + -1.9559977 1.9559977 0.0000000 +end real_lattice - ------ - SYSTEM - ------ +begin recip_lattice + -1.6061331 -1.6061331 1.6061331 + 1.6061331 1.6061331 1.6061331 + -1.6061331 1.6061331 -1.6061331 +end recip_lattice - Lattice Vectors (Ang) - a_1 -1.955998 0.000000 1.955998 - a_2 0.000000 1.955998 1.955998 - a_3 -1.955998 1.955998 0.000000 +begin kpoints + 27 + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.33333333 + 0.00000000 0.00000000 0.66666667 + 0.00000000 0.33333333 0.00000000 + 0.00000000 0.33333333 0.33333333 + 0.00000000 0.33333333 0.66666667 + 0.00000000 0.66666667 0.00000000 + 0.00000000 0.66666667 0.33333333 + 0.00000000 0.66666667 0.66666667 + 0.33333333 0.00000000 0.00000000 + 0.33333333 0.00000000 0.33333333 + 0.33333333 0.00000000 0.66666667 + 0.33333333 0.33333333 0.00000000 + 0.33333333 0.33333333 0.33333333 + 0.33333333 0.33333333 0.66666667 + 0.33333333 0.66666667 0.00000000 + 0.33333333 0.66666667 0.33333333 + 0.33333333 0.66666667 0.66666667 + 0.66666667 0.00000000 0.00000000 + 0.66666667 0.00000000 0.33333333 + 0.66666667 0.00000000 0.66666667 + 0.66666667 0.33333333 0.00000000 + 0.66666667 0.33333333 0.33333333 + 0.66666667 0.33333333 0.66666667 + 0.66666667 0.66666667 0.00000000 + 0.66666667 0.66666667 0.33333333 + 0.66666667 0.66666667 0.66666667 +end kpoints - Unit Cell Volume: 14.96701 (Ang^3) +begin projections + 0 +end projections - Reciprocal-Space Vectors (Ang^-1) - b_1 -1.606133 -1.606133 1.606133 - b_2 1.606133 1.606133 1.606133 - b_3 -1.606133 1.606133 -1.606133 - - *----------------------------------------------------------------------------* - | Site Fractional Coordinate Cartesian Coordinate (Ang) | - +----------------------------------------------------------------------------+ - | Pt 1 0.00000 0.00000 0.00000 | 0.00000 0.00000 0.00000 | - *----------------------------------------------------------------------------* - ------------ - K-POINT GRID - ------------ - - Grid size = 3 x 3 x 3 Total points = 27 - - - *---------------------------------- MAIN ------------------------------------* - | Number of Wannier Functions : 18 | - | Number of Objective Wannier Functions : 18 | - | Number of input Bloch states : 18 | - | Output verbosity (1=low, 5=high) : 1 | - | Timing Level (1=low, 5=high) : 1 | - | Optimisation (0=memory, 3=speed) : 3 | - | Length Unit : Ang | - | Post-processing setup (write *.nnkp) : T | - | Using Gamma-only branch of algorithms : F | - *----------------------------------------------------------------------------* - *------------------------------- WANNIERISE ---------------------------------* - | Total number of iterations : 100 | - | Number of CG steps before reset : 5 | - | Trial step length for line search : 2.000 | - | Convergence tolerence : 0.100E-09 | - | Convergence window : -1 | - | Iterations between writing output : 1 | - | Iterations between backing up to disk : 100 | - | Write r^2_nm to file : F | - | Write xyz WF centres to file : F | - | Write on-site energies <0n|H|0n> to file : F | - | Use guiding centre to control phases : F | - | Use phases for initial projections : F | - *----------------------------------------------------------------------------* - Time to read parameters 0.188 (sec) +begin nnkpts + 82 + 1 2 0 0 0 + 1 4 0 0 0 + 1 10 0 0 0 + 1 14 0 0 0 + 1 5 0 0 0 + 1 11 0 0 0 + 1 13 0 0 0 + 1 15 0 0 0 + 1 17 0 0 0 + 1 23 0 0 0 + 1 6 0 0 -1 + 1 12 0 0 -1 + 1 16 0 -1 0 + 1 6 0 0 0 + 1 8 0 0 0 + 1 12 0 0 0 + 1 16 0 0 0 + 1 18 0 0 0 + 1 20 0 0 0 + 1 22 0 0 0 + 1 24 0 0 0 + 1 26 0 0 0 + 1 15 0 0 -1 + 1 17 0 -1 0 + 1 23 -1 0 0 + 1 3 0 0 0 + 1 7 0 0 0 + 1 19 0 0 0 + 1 27 0 0 0 + 1 5 1 0 0 + 1 9 1 0 0 + 1 11 0 1 0 + 1 21 0 1 0 + 1 13 0 0 1 + 1 25 0 0 1 + 1 5 0 0 -1 + 1 9 0 0 -1 + 1 11 0 0 -1 + 1 21 0 0 -1 + 1 13 0 -1 0 + 1 25 0 -1 0 + 1 3 0 0 -1 + 1 7 0 -1 0 + 1 19 -1 0 0 + 1 27 -1 -1 -1 + 1 9 0 -1 -1 + 1 21 -1 0 -1 + 1 25 -1 -1 0 + 1 26 -1 -1 -1 + 1 24 -1 -1 -1 + 1 18 -1 -1 -1 + 1 8 0 -1 0 + 1 20 -1 0 0 + 1 22 -1 0 0 + 1 8 0 -1 -1 + 1 6 0 -1 -1 + 1 20 -1 0 -1 + 1 22 -1 -1 0 + 1 23 -1 -1 -1 + 1 12 -1 0 -1 + 1 16 -1 -1 0 + 1 17 -1 -1 -1 + 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0 1 + 27 6 1 1 0 + 27 5 1 1 1 + 27 16 1 0 1 + 27 12 1 1 0 + 27 11 1 1 1 + 27 13 1 1 1 + 27 2 1 1 0 + 27 4 1 0 1 + 27 10 0 1 1 + 27 26 0 0 1 + 27 24 0 1 0 + 27 18 1 0 0 + 27 14 1 1 1 + 27 19 1 1 1 + 27 23 1 1 1 + 27 7 1 1 1 + 27 17 1 1 1 + 27 3 1 1 1 + 27 15 1 1 1 + 27 19 0 1 0 + 27 23 0 1 0 + 27 7 1 0 0 + 27 17 1 0 0 + 27 3 1 0 0 + 27 15 1 0 0 + 27 26 0 0 0 + 27 24 0 0 0 + 27 18 0 0 0 + 27 14 0 0 0 + 27 23 0 0 0 + 27 17 0 0 0 + 27 15 0 0 0 + 27 13 0 0 0 + 27 11 0 0 0 + 27 5 0 0 0 + 27 22 0 0 1 + 27 16 0 0 1 + 27 12 0 1 0 + 27 22 0 0 0 + 27 20 0 0 0 + 27 16 0 0 0 + 27 12 0 0 0 + 27 10 0 0 0 + 27 8 0 0 0 + 27 6 0 0 0 + 27 4 0 0 0 + 27 2 0 0 0 + 27 13 0 0 1 + 27 11 0 1 0 + 27 5 1 0 0 + 27 25 0 0 0 + 27 21 0 0 0 + 27 9 0 0 0 + 27 1 0 0 0 + 27 23 -1 0 0 + 27 19 -1 0 0 + 27 17 0 -1 0 + 27 7 0 -1 0 + 27 15 0 0 -1 + 27 3 0 0 -1 + 27 23 0 0 1 + 27 19 0 0 1 + 27 17 0 0 1 + 27 7 0 0 1 + 27 15 0 1 0 + 27 3 0 1 0 +end nnkpts - *---------------------------------- K-MESH ----------------------------------* - +----------------------------------------------------------------------------+ - | Distance to Nearest-Neighbour Shells | - | ------------------------------------ | - | Shell Distance (Ang^-1) Multiplicity | - | ----- ----------------- ------------ | - | 1 0.927301 8 | - | 2 1.070755 6 | - | 3 1.514277 12 | - | 4 1.775647 24 | - | 5 1.854603 8 | - | 6 2.141511 6 | - | 7 2.333657 24 | - | 8 2.394282 24 | - | 9 2.622804 24 | - | 10 2.781904 32 | - | 11 3.028554 12 | - | 12 3.167337 48 | - | 13 3.212266 30 | - | 14 3.386026 24 | - | 15 3.510706 24 | - | 16 3.551294 24 | - | 17 3.709205 8 | - | 18 3.823361 48 | - | 19 3.860663 24 | - | 20 4.006400 48 | - | 21 4.112314 72 | - | 22 4.283022 6 | - | 23 4.382255 24 | - | 24 4.414838 48 | - | 25 4.542830 36 | - | 26 4.636507 56 | - | 27 4.667315 24 | - | 28 4.788564 24 | - | 29 4.877523 72 | - | 30 4.906818 48 | - | 31 5.022288 24 | - | 32 5.107178 48 | - | 33 5.245609 24 | - | 34 5.326941 72 | - | 35 5.353777 30 | - | 36 5.459803 72 | - +----------------------------------------------------------------------------+ - | The b-vectors are chosen automatically | - | The following shells are used: 1, 5, 10, 17, 26 | - +----------------------------------------------------------------------------+ - | Shell # Nearest-Neighbours | - | ----- -------------------- | - | 1 8 | - | 5 8 | - | 10 8 | - | 17 8 | - | 26 8 | - +----------------------------------------------------------------------------+ - | Completeness relation is fully satisfied [Eq. (B1), PRB 56, 12847 (1997)] | - | Completeness relations for higher-order are fully satisfied | - +----------------------------------------------------------------------------+ - | b_k Vectors (Ang^-1) and Weights (Ang^2) | - | ---------------------------------------- | - | No. b_k(x) b_k(y) b_k(z) w_b | - | --- -------------------------------- -------- | - | 1 -0.535378 0.535378 -0.535378 0.726839 | - | 2 0.535378 0.535378 0.535378 0.726839 | - | 3 -0.535378 -0.535378 0.535378 0.726839 | - | 4 -0.535378 0.535378 0.535378 0.726839 | - | 5 0.535378 -0.535378 0.535378 0.726839 | - | 6 -0.535378 -0.535378 -0.535378 0.726839 | - | 7 0.535378 0.535378 -0.535378 0.726839 | - | 8 0.535378 -0.535378 -0.535378 0.726839 | - | 9 -1.070755 1.070755 -1.070755 -0.103834 | - | 10 1.070755 1.070755 1.070755 -0.103834 | - | 11 -1.070755 -1.070755 1.070755 -0.103834 | - | 12 -1.070755 1.070755 1.070755 -0.103834 | - | 13 1.070755 -1.070755 1.070755 -0.103834 | - | 14 -1.070755 -1.070755 -1.070755 -0.103834 | - | 15 1.070755 1.070755 -1.070755 -0.103834 | - | 16 1.070755 -1.070755 -1.070755 -0.103834 | - | 17 -1.606133 1.606133 1.606133 0.017306 | - | 18 -1.606133 -1.606133 1.606133 0.017306 | - | 19 1.606133 1.606133 1.606133 0.017306 | - | 20 -1.606133 1.606133 -1.606133 0.017306 | - | 21 1.606133 -1.606133 1.606133 0.017306 | - | 22 -1.606133 -1.606133 -1.606133 0.017306 | - | 23 1.606133 1.606133 -1.606133 0.017306 | - | 24 1.606133 -1.606133 -1.606133 0.017306 | - | 25 -2.141511 2.141511 2.141511 -0.002163 | - | 26 -2.141511 -2.141511 2.141511 -0.002163 | - | 27 2.141511 2.141511 2.141511 -0.002163 | - | 28 -2.141511 2.141511 -2.141511 -0.002163 | - | 29 2.141511 -2.141511 2.141511 -0.002163 | - | 30 -2.141511 -2.141511 -2.141511 -0.002163 | - | 31 2.141511 2.141511 -2.141511 -0.002163 | - | 32 2.141511 -2.141511 -2.141511 -0.002163 | - | 33 -2.676888 2.676888 2.676888 0.000138 | - | 34 -2.676888 -2.676888 2.676888 0.000138 | - | 35 2.676888 2.676888 2.676888 0.000138 | - | 36 -2.676888 2.676888 -2.676888 0.000138 | - | 37 2.676888 -2.676888 2.676888 0.000138 | - | 38 -2.676888 -2.676888 -2.676888 0.000138 | - | 39 2.676888 2.676888 -2.676888 0.000138 | - | 40 2.676888 -2.676888 -2.676888 0.000138 | - +----------------------------------------------------------------------------+ - | b_k Directions (Ang^-1) | - | ----------------------- | - | No. x y z | - | --- -------------------------------- | - | 1 -0.535378 0.535378 -0.535378 | - | 2 0.535378 0.535378 0.535378 | - | 3 -0.535378 -0.535378 0.535378 | - | 4 -0.535378 0.535378 0.535378 | - | 5 -1.070755 1.070755 -1.070755 | - | 6 1.070755 1.070755 1.070755 | - | 7 -1.070755 -1.070755 1.070755 | - | 8 -1.070755 1.070755 1.070755 | - | 9 -1.606133 1.606133 1.606133 | - | 10 -1.606133 -1.606133 1.606133 | - | 11 1.606133 1.606133 1.606133 | - | 12 -1.606133 1.606133 -1.606133 | - | 13 -2.141511 2.141511 2.141511 | - | 14 -2.141511 -2.141511 2.141511 | - | 15 2.141511 2.141511 2.141511 | - | 16 -2.141511 2.141511 -2.141511 | - | 17 -2.676888 2.676888 2.676888 | - | 18 -2.676888 -2.676888 2.676888 | - | 19 2.676888 2.676888 2.676888 | - | 20 -2.676888 2.676888 -2.676888 | - +----------------------------------------------------------------------------+ - - Time to get kmesh 0.391 (sec) - *============================================================================* - | MEMORY ESTIMATE | - | Maximum RAM allocated during each phase of the calculation | - *============================================================================* - | Wannierise: 12.03 Mb | - | plot_wannier: 12.03 Mb | - *----------------------------------------------------------------------------* - - Starting a new Wannier90 calculation ... - - Time to write kmesh 0.578 (sec) - - Exiting... wannier.nnkp written. +begin exclude_bands + 0 +end exclude_bands diff --git a/test-suite/tests/testw90_nnkpt_higher2/wannier.win b/test-suite/tests/testw90_nnkpt_higher2/wannier.win index d74ccf6b3..3f674e24b 100644 --- a/test-suite/tests/testw90_nnkpt_higher2/wannier.win +++ b/test-suite/tests/testw90_nnkpt_higher2/wannier.win @@ -1,7 +1,7 @@ num_wann = 18 -finite_diff_order = 5 -higher_order_simple = true -kmesh_tol = 0.00001 +higher_order_n = 3 +higher_order_nearest_shells = .true. +!kmesh_tol = 0.00001 begin unit_cell_cart bohr From d3cda02fa1f92ac600a97be3df034f688072c7f6 Mon Sep 17 00:00:00 2001 From: manxkim Date: Thu, 2 May 2024 12:38:36 +0900 Subject: [PATCH 35/45] list of used shells and their multiples --- src/kmesh.F90 | 30 ++++++++++++++++++++++-------- 1 file changed, 22 insertions(+), 8 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 1460beb06..af41d0483 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -271,6 +271,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti do ndnn = 1, kmesh_input%num_shells if (ndnn .eq. kmesh_input%num_shells) then write (stdout, '(i3,1x)', advance='no') kmesh_input%shell_list(ndnn) + num_first_shells = kmesh_input%num_shells else write (stdout, '(i3,",")', advance='no') kmesh_input%shell_list(ndnn) endif @@ -550,16 +551,29 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti !end if - do ndnnx = 1, kmesh_input%num_shells - ndnn = kmesh_input%shell_list(ndnnx) - if (print_output%iprint > 0) then - if (ndnn > 1 .and. .not. kmesh_input%higher_order_nearest_shells) then - write (stdout, '(1x,a,22x,i3,a,13x,i3,33x,a)') '|', ndnn, 'x1', nnshell(1, ndnn), '|' - else + if (kmesh_input%higher_order_n .eq. 1 .or. kmesh_input%higher_order_nearest_shells) then + do ndnnx = 1, kmesh_input%num_shells + ndnn = kmesh_input%shell_list(ndnnx) + if (print_output%iprint > 0) then + write (stdout, '(1x,a,24x,i3,13x,i3,33x,a)') '|', ndnn, nnshell(1, ndnn), '|' + endif + end do + else + do ndnnx = 1, num_first_shells + ndnn = kmesh_input%shell_list(ndnnx) + if (print_output%iprint > 0) then write (stdout, '(1x,a,24x,i3,13x,i3,33x,a)') '|', ndnn, nnshell(1, ndnn), '|' endif - endif - end do + end do + do i = 2, kmesh_input%higher_order_n + do ndnnx = 1, num_first_shells + ndnn = kmesh_input%shell_list(ndnnx) + if (print_output%iprint > 0) then + write (stdout, '(1x,a,20x,i3,a,i2,13x,i3,33x,a)') '|', ndnn, ' x', ndnn, nnshell(1, ndnn), '|' + endif + end do + end do + endif if (print_output%iprint > 0) write (stdout, '(1x,"+",76("-"),"+")') do nkp = 1, num_kpts From ff4ed4f8e5bba356f10803306fb577681e8f4c2a Mon Sep 17 00:00:00 2001 From: manxkim Date: Thu, 16 May 2024 15:30:52 +0900 Subject: [PATCH 36/45] trivial --- src/kmesh.F90 | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index af41d0483..871a170d1 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -29,7 +29,7 @@ module w90_kmesh use w90_constants, only: dp use w90_types, only: max_shells, num_nnmax ! used for dimensioning use w90_error, only: w90_error_type, set_error_alloc, set_error_dealloc, set_error_fatal, & - set_error_input, set_error_fatal, set_error_file + set_error_input, set_error_file use w90_comms, only: w90_comm_type implicit none @@ -482,8 +482,8 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti lmn_temp(2) = floor(kpt_latt(2, nkp) + bk_latt(2) + 1.e-6_dp) lmn_temp(3) = floor(kpt_latt(3, nkp) + bk_latt(3) + 1.e-6_dp) vkpp2 = matmul(lmn_temp, recip_lattice) !G_lmn vector + vkpp = kpt_cart(:, nkp) + bk_local(:, nnx2, nkp) - vkpp2 ! k_2 = k_1 + Nb - G_lmn do nkp2 = 1, num_kpts - vkpp = kpt_cart(:, nkp) + bk_local(:, nnx2, nkp) - vkpp2 ! k_2 = k_1 + Nb - G_lmn call utility_compar(kpt_cart(:, nkp2), vkpp, ifpos, ifneg) if (ifpos .eq. 1) then counter = counter + 1 From a9fc7d226d5de5373c0de5701839b99c08afda3c Mon Sep 17 00:00:00 2001 From: manxkim Date: Thu, 16 May 2024 15:31:17 +0900 Subject: [PATCH 37/45] important: sequence of finding recip/inv_lattice --- src/kmesh.F90 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 871a170d1..67518ae8b 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -140,8 +140,8 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti return endif - call utility_inverse_mat(recip_lattice, inv_lattice) call utility_recip_lattice(real_lattice, recip_lattice, volume, error, comm) + call utility_inverse_mat(recip_lattice, inv_lattice) if (print_output%iprint > 0) write (stdout, '(/1x,a)') & '*---------------------------------- K-MESH ----------------------------------*' From ec8081839a412964623acf4c5f6ab75f95d7ac32 Mon Sep 17 00:00:00 2001 From: manxkim Date: Thu, 16 May 2024 18:48:10 +0900 Subject: [PATCH 38/45] fixed a typo for shell_list --- src/kmesh.F90 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/kmesh.F90 b/src/kmesh.F90 index 67518ae8b..c085dbda2 100644 --- a/src/kmesh.F90 +++ b/src/kmesh.F90 @@ -569,7 +569,7 @@ subroutine kmesh_get(kmesh_input, kmesh_info, print_output, kpt_latt, real_latti do ndnnx = 1, num_first_shells ndnn = kmesh_input%shell_list(ndnnx) if (print_output%iprint > 0) then - write (stdout, '(1x,a,20x,i3,a,i2,13x,i3,33x,a)') '|', ndnn, ' x', ndnn, nnshell(1, ndnn), '|' + write (stdout, '(1x,a,20x,i3,a,i2,13x,i3,33x,a)') '|', i, ' x', ndnn, nnshell(1, ndnn), '|' endif end do end do From 7894255c53ff591ee528ee65f19e3b985e47e086 Mon Sep 17 00:00:00 2001 From: manxkim Date: Tue, 21 May 2024 14:30:38 +0900 Subject: [PATCH 39/45] four new tests --- test-suite/checkpoints/knbo3_higher/Makefile | 14 + .../checkpoints/knbo3_higher/knbo3.amn.bz2 | Bin 0 -> 65359 bytes .../checkpoints/knbo3_higher/knbo3.mmn.bz2 | Bin 0 -> 685133 bytes test-suite/checkpoints/knbo3_higher/knbo3.win | 72 ++ .../pt_shc_higher_postw90/Makefile | 24 + .../pt_shc_higher_postw90/Pt.amn.bz2 | Bin 0 -> 155640 bytes .../pt_shc_higher_postw90/Pt.chk.fmt.bz2 | Bin 0 -> 2756117 bytes .../checkpoints/pt_shc_higher_postw90/Pt.eig | 648 ++++++++++++++++ .../pt_shc_higher_postw90/Pt.mmn.bz2 | Bin 0 -> 2923197 bytes .../pt_shc_higher_postw90/Pt.spn.bz2 | Bin 0 -> 370283 bytes .../checkpoints/pt_shc_higher_postw90/Pt.win | 63 ++ test-suite/tests/jobconfig | 27 +- .../testpostw90_pt_shc_higher/.gitignore | 5 + .../tests/testpostw90_pt_shc_higher/Makefile | 24 + .../testpostw90_pt_shc_higher/Pt.amn.bz2 | 1 + .../testpostw90_pt_shc_higher/Pt.chk.fmt.bz2 | 1 + .../tests/testpostw90_pt_shc_higher/Pt.eig | 1 + .../testpostw90_pt_shc_higher/Pt.mmn.bz2 | 1 + .../testpostw90_pt_shc_higher/Pt.spn.bz2 | 1 + .../tests/testpostw90_pt_shc_higher/Pt.win | 63 ++ .../benchmark.out.default.inp=Pt.win | 202 +++++ .../tests/testw90_knbo3_higher/Makefile | 14 + .../tests/testw90_knbo3_higher/knbo3.amn.bz2 | 1 + .../tests/testw90_knbo3_higher/knbo3.mmn.bz2 | 1 + .../tests/testw90_knbo3_higher/knbo3.win | 72 ++ .../.gitignore | 0 ...hmark.out.default.inp=wannier.win.args=-pp | 706 ++++++++++++++++++ .../wannier.win | 0 .../.gitignore | 0 ...hmark.out.default.inp=wannier.win.args=-pp | 0 .../wannier.win | 0 ...hmark.out.default.inp=wannier.win.args=-pp | 706 ------------------ test-suite/tests/userconfig | 13 +- 33 files changed, 1938 insertions(+), 722 deletions(-) create mode 100644 test-suite/checkpoints/knbo3_higher/Makefile create mode 100644 test-suite/checkpoints/knbo3_higher/knbo3.amn.bz2 create mode 100644 test-suite/checkpoints/knbo3_higher/knbo3.mmn.bz2 create mode 100644 test-suite/checkpoints/knbo3_higher/knbo3.win create mode 100644 test-suite/checkpoints/pt_shc_higher_postw90/Makefile create mode 100644 test-suite/checkpoints/pt_shc_higher_postw90/Pt.amn.bz2 create mode 100644 test-suite/checkpoints/pt_shc_higher_postw90/Pt.chk.fmt.bz2 create mode 100644 test-suite/checkpoints/pt_shc_higher_postw90/Pt.eig create mode 100644 test-suite/checkpoints/pt_shc_higher_postw90/Pt.mmn.bz2 create mode 100644 test-suite/checkpoints/pt_shc_higher_postw90/Pt.spn.bz2 create mode 100644 test-suite/checkpoints/pt_shc_higher_postw90/Pt.win create mode 100644 test-suite/tests/testpostw90_pt_shc_higher/.gitignore create mode 100644 test-suite/tests/testpostw90_pt_shc_higher/Makefile create mode 120000 test-suite/tests/testpostw90_pt_shc_higher/Pt.amn.bz2 create mode 120000 test-suite/tests/testpostw90_pt_shc_higher/Pt.chk.fmt.bz2 create mode 120000 test-suite/tests/testpostw90_pt_shc_higher/Pt.eig create mode 120000 test-suite/tests/testpostw90_pt_shc_higher/Pt.mmn.bz2 create mode 120000 test-suite/tests/testpostw90_pt_shc_higher/Pt.spn.bz2 create mode 100644 test-suite/tests/testpostw90_pt_shc_higher/Pt.win create mode 100644 test-suite/tests/testpostw90_pt_shc_higher/benchmark.out.default.inp=Pt.win create mode 100644 test-suite/tests/testw90_knbo3_higher/Makefile create mode 120000 test-suite/tests/testw90_knbo3_higher/knbo3.amn.bz2 create mode 120000 test-suite/tests/testw90_knbo3_higher/knbo3.mmn.bz2 create mode 100644 test-suite/tests/testw90_knbo3_higher/knbo3.win rename test-suite/tests/{testw90_nnkpt_higher => testw90_nnkpt6}/.gitignore (100%) create mode 100644 test-suite/tests/testw90_nnkpt6/benchmark.out.default.inp=wannier.win.args=-pp rename test-suite/tests/{testw90_nnkpt_higher => testw90_nnkpt6}/wannier.win (100%) rename test-suite/tests/{testw90_nnkpt_higher2 => testw90_nnkpt7}/.gitignore (100%) rename test-suite/tests/{testw90_nnkpt_higher2 => testw90_nnkpt7}/benchmark.out.default.inp=wannier.win.args=-pp (100%) rename test-suite/tests/{testw90_nnkpt_higher2 => testw90_nnkpt7}/wannier.win (100%) delete mode 100644 test-suite/tests/testw90_nnkpt_higher/benchmark.out.default.inp=wannier.win.args=-pp diff --git a/test-suite/checkpoints/knbo3_higher/Makefile b/test-suite/checkpoints/knbo3_higher/Makefile new file mode 100644 index 000000000..df3e0ce26 --- /dev/null +++ b/test-suite/checkpoints/knbo3_higher/Makefile @@ -0,0 +1,14 @@ +all: $(patsubst %.mmn.bz2, %.mmn, $(wildcard *.mmn.bz2)) $(patsubst %.amn.bz2, %.amn, $(wildcard *.amn.bz2)) + +%.mmn: %.mmn.bz2 + $(eval 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zkipx1#WTG03n_;Qn1j*+=8loC^ZS%K-SPHLkVnfln%Rpoz!xqOCl9ulLvrCp+?^YO ztl>ybGPu}apn+em=z!v$0YeeO6f-2>J5eD@3+k_nk}1O1O$Y&6G7W;o6XNbW)*66v UBro~z{~SknH}rIC)i=QZ58Gz}FaQ7m literal 0 HcmV?d00001 diff --git a/test-suite/checkpoints/knbo3_higher/knbo3.win b/test-suite/checkpoints/knbo3_higher/knbo3.win new file mode 100644 index 000000000..0f3ed75d7 --- /dev/null +++ b/test-suite/checkpoints/knbo3_higher/knbo3.win @@ -0,0 +1,72 @@ +num_wann = 15 +num_bands = 15 +exclude_bands = 1-5, 21-36 +higher_order_n = 2 + +conv_window = 5 +conv_tol = 1.0d-10 + +dis_num_iter = 3000 +dis_mix_ratio = 0.5 +dis_win_max = 20.0 +dis_froz_max = 15.0 +dis_conv_tol = 1.d-10 + +begin atoms_frac +K 0.5 0.5 0.5230 +Nb 0.0 0.0 0.0000 +O 0.0 0.5 0.0420 +O 0.0 0.0 0.5400 +O 0.5 0.0 0.0420 +end atoms_frac + +begin projections + K:p + O:s,p +end projections + +begin unit_cell_cart +Bohr +7.5557656 0.0000000 0.0000000 +0.0000000 7.5557656 0.0000000 +0.0000000 0.0000000 7.6805293 +!5.5557656 0.0000000 0.0000000 +!0.0000000 5.5557656 0.0000000 +!0.0000000 0.0000000 5.6475045 +end unit_cell_cart + +!write_hr = .false. +!use_ws_distance = .true. +!guiding_centres = .true. +!transl_inv = .true. + +mp_grid = 3 3 3 +begin kpoints + 0.000000000000 0.000000000000 0.000000000000 + 0.000000000000 0.000000000000 0.333333333333 + 0.000000000000 0.000000000000 0.666666666667 + 0.000000000000 0.333333333333 0.000000000000 + 0.000000000000 0.333333333333 0.333333333333 + 0.000000000000 0.333333333333 0.666666666667 + 0.000000000000 0.666666666667 0.000000000000 + 0.000000000000 0.666666666667 0.333333333333 + 0.000000000000 0.666666666667 0.666666666667 + 0.333333333333 0.000000000000 0.000000000000 + 0.333333333333 0.000000000000 0.333333333333 + 0.333333333333 0.000000000000 0.666666666667 + 0.333333333333 0.333333333333 0.000000000000 + 0.333333333333 0.333333333333 0.333333333333 + 0.333333333333 0.333333333333 0.666666666667 + 0.333333333333 0.666666666667 0.000000000000 + 0.333333333333 0.666666666667 0.333333333333 + 0.333333333333 0.666666666667 0.666666666667 + 0.666666666667 0.000000000000 0.000000000000 + 0.666666666667 0.000000000000 0.333333333333 + 0.666666666667 0.000000000000 0.666666666667 + 0.666666666667 0.333333333333 0.000000000000 + 0.666666666667 0.333333333333 0.333333333333 + 0.666666666667 0.333333333333 0.666666666667 + 0.666666666667 0.666666666667 0.000000000000 + 0.666666666667 0.666666666667 0.333333333333 + 0.666666666667 0.666666666667 0.666666666667 +end kpoints diff --git a/test-suite/checkpoints/pt_shc_higher_postw90/Makefile b/test-suite/checkpoints/pt_shc_higher_postw90/Makefile new file mode 100644 index 000000000..b46d3c922 --- /dev/null +++ b/test-suite/checkpoints/pt_shc_higher_postw90/Makefile @@ -0,0 +1,24 @@ +all: $(patsubst %.chk.fmt.bz2, %.chk, $(wildcard *.chk.fmt.bz2)) $(patsubst %.mmn.bz2, %.mmn, $(wildcard *.mmn.bz2)) $(patsubst %.amn.bz2, %.amn, $(wildcard *.amn.bz2)) $(patsubst %.spn.bz2, %.spn, $(wildcard *.spn.bz2)) $(patsubst %.sHu.bz2, %.sHu, $(wildcard *.sHu.bz2)) $(patsubst %.sIu.bz2, %.sIu, $(wildcard *.sIu.bz2)) + +%.chk: %.chk.fmt.bz2 + $(eval SEEDNAME:=$(patsubst %.chk.fmt.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).chk.fmt && ../../../w90chk2chk.x -f2u $(SEEDNAME) && rm $(SEEDNAME).chk.fmt + +%.mmn: %.mmn.bz2 + $(eval SEEDNAME:=$(patsubst %.mmn.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).mmn + +%.amn: %.amn.bz2 + $(eval SEEDNAME:=$(patsubst %.amn.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).amn + +%.spn: %.spn.bz2 + $(eval SEEDNAME:=$(patsubst %.spn.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).spn + + +.PHONY: all diff --git a/test-suite/checkpoints/pt_shc_higher_postw90/Pt.amn.bz2 b/test-suite/checkpoints/pt_shc_higher_postw90/Pt.amn.bz2 new file mode 100644 index 0000000000000000000000000000000000000000..f34c50c44cff87099272a4677abc328aa90e86cc GIT binary patch literal 155640 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