Sherman-Morrison/QMCChem_dataset_test.f90
François Coppens 8d63dd1701 The algorithm now works for the following 4x4 example with 2 updates:
S = [1,0,1,-1; 0,1,1,0; -1,0,-1,0; 1,1,1,1]
S_inv = [1,-1,1,1; 1,0,2,1; -1,1,-2,-1; -1,0,-1,0]
u1 = [0,-2,0,0]
u2 = [0,-1,0,0]
upd_idx = [2,4]

To go from Maponi's examples where the number of updates is always equal
to the the dimension of the matrix, and the decomposition is always
diagonal, to cases with a non-diagonal decomposition and a number of
updates unequal to its size, the following changed needed to be made:

* in the calculation of the {y0k} an extra inner for-loop needs to be
  added to make it a full matrix-vector multiplication due to the fact
  that A0 is not a diagonal matrix

* in some places the use of the update-order vector p needs
  the be replaced with that of upd_idx to make sure the correct
  component of the ylk is selected and the proper rank-1 matrices are
  constructed

* when a matrix is passed from Fortran to C++ with 2D adressing, it is
  passed in colum-major order. The passed matrix needs to be transposed
  before passing to C++. Doing this inside the algorithm will break
  compatibility with called from C/C++.
2021-02-22 15:41:30 +01:00

79 lines
2.2 KiB
Fortran

program QMCChem_dataset_test
use Sherman_Morrison, only : MaponiA3
use Utils, only : Read_dataset
use, intrinsic :: iso_c_binding, only : c_int, c_double
implicit none
integer :: i, j, col !! Iterators
integer :: cycle_id, dim, n_updates
integer(c_int), dimension(:), allocatable :: Updates_index
real(c_double), dimension(:,:), allocatable :: S, S_inv, S_inv_trans, Updates
call Read_dataset("test.dataset.dat", &
cycle_id, &
dim, &
n_updates, &
S, &
S_inv, &
Updates_index, &
Updates)
allocate(S_inv_trans(dim,dim))
do i=1,dim
do j=1,dim
S_inv_trans(i,j) = S_inv(j,i)
end do
end do
!! Write current S and S_inv to file for check in Octave
open(unit = 2000, file = "Slater_old.dat")
open(unit = 3000, file = "Slater_old_inv.dat")
do i=1,dim
do j=1,dim
write(2000,"(E23.15, 1X)", advance="no") S(i,j)
write(3000,"(E23.15, 1X)", advance="no") S_inv_trans(i,j)
end do
write(2000,*)
write(3000,*)
end do
close(2000)
close(3000)
!! Write Updates to file to check
open(unit = 2000, file = "Updates.dat")
do i=1,dim
do j=1,n_updates
write(2000,"(E23.15, 1X)", advance="no") Updates(i,j)
end do
write(2000,*)
end do
close(2000)
!! Update S
do j=1,n_updates
do i=1,dim
col = Updates_index(j)
S(i,col) = S(i,col) + Updates(i,j)
end do
end do
!! Send S_inv and Updates to MaponiA3 algo
call MaponiA3(S_inv_trans, dim, n_updates, Updates, Updates_index)
!! Write new S and S_inv to file for check in Octave
open(unit = 4000, file = "Slater.dat")
open(unit = 5000, file = "Slater_inv.dat")
do i=1,dim
do j=1,dim
write(4000,"(E23.15, 1X)", advance="no") S(i,j)
write(5000,"(E23.15, 1X)", advance="no") S_inv(i,j)
end do
write(4000,*)
write(5000,*)
end do
close(4000)
close(5000)
deallocate(S, S_inv, Updates, Updates_index)
end program