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https://github.com/TREX-CoE/Sherman-Morrison.git
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8d63dd1701
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++.
140 lines
3.3 KiB
Fortran
140 lines
3.3 KiB
Fortran
program Interface_test
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use Sherman_Morrison, only : MaponiA3
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use, intrinsic :: iso_c_binding, only : c_int, c_double
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implicit none
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integer i, j, col !! Iterators
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integer(c_int) :: Dim, N_updates
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integer(c_int), dimension(:), allocatable :: Updates_index
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real(c_double), dimension(:,:), allocatable :: S, A, Updates
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real(c_double), dimension(:,:), allocatable :: S_inv, A_inv
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Dim = 4
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N_updates = 2
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allocate( S(Dim,Dim), S_inv(Dim,Dim), A(Dim,Dim), A_inv(Dim,Dim), &
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Updates(Dim,N_updates), Updates_index(N_updates))
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!! Initialize S, S_inv, A and A_inv
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S(1,1) = 1.0d0
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S(1,2) = 0.0d0
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S(1,3) = 1.0d0
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S(1,4) = -1.0d0
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S(2,1) = 0.0d0
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S(2,2) = 1.0d0
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S(2,3) = 1.0d0
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S(2,4) = 0.0d0
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S(3,1) = -1.0d0
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S(3,2) = 0.0d0
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S(3,3) = -1.0d0
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S(3,4) = 0.0d0
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S(4,1) = 1.0d0
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S(4,2) = 1.0d0
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S(4,3) = 1.0d0
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S(4,4) = 1.0d0
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S_inv(1,1) = 1.0d0
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S_inv(1,2) = -1.0d0
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S_inv(1,3) = 1.0d0
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S_inv(1,4) = 1.0d0
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S_inv(2,1) = 1.0d0
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S_inv(2,2) = 0.0d0
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S_inv(2,3) = 2.0d0
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S_inv(2,4) = 1.0d0
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S_inv(3,1) = -1.0d0
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S_inv(3,2) = 1.0d0
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S_inv(3,3) = -2.0d0
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S_inv(3,4) = -1.0d0
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S_inv(4,1) = -1.0d0
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S_inv(4,2) = 0.0d0
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S_inv(4,3) = -1.0d0
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S_inv(4,4) = 0.0d0
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A(1,1) = 1.0d0
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A(1,2) = 0.0d0
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A(1,3) = 1.0d0
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A(1,4) = -1.0d0
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A(2,1) = 0.0d0
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A(2,2) = -1.0d0
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A(2,3) = 1.0d0
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A(2,4) = -1.0d0
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A(3,1) = -1.0d0
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A(3,2) = 0.0d0
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A(3,3) = -1.0d0
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A(3,4) = 0.0d0
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A(4,1) = 1.0d0
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A(4,2) = 1.0d0
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A(4,3) = 1.0d0
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A(4,4) = 1.0d0
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A_inv(1,1) = 0.0d0
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A_inv(1,2) = -1.0d0
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A_inv(1,3) = -2.0d0
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A_inv(1,4) = -1.0d0
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A_inv(2,1) = 1.0d0
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A_inv(2,2) = 0.0d0
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A_inv(2,3) = 2.0d0
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A_inv(2,4) = 1.0d0
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A_inv(3,1) = 0.0d0
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A_inv(3,2) = 1.0d0
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A_inv(3,3) = 1.0d0
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A_inv(3,4) = 1.0d0
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A_inv(4,1) = -1.0d0
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A_inv(4,2) = 0.0d0
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A_inv(4,3) = -1.0d0
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A_inv(4,4) = 0.0d0
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!! Prepare Updates and Updates_index
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Updates(1,1) = 0
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Updates(1,2) = 0
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Updates(2,1) = -2
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Updates(2,2) = -1
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Updates(3,1) = 0
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Updates(3,2) = 0
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Updates(4,1) = 0
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Updates(4,2) = 0
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Updates_index(1) = 2
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Updates_index(2) = 4
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!! Write current S and S_inv to file for check in Octave
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open(unit = 2000, file = "Slater_old.dat")
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open(unit = 3000, file = "Slater_old_inv.dat")
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do i=1,dim
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do j=1,dim
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write(2000,"(E23.15, 1X)", advance="no") S(i,j)
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write(3000,"(E23.15, 1X)", advance="no") S_inv(i,j)
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end do
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write(2000,*)
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write(3000,*)
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end do
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close(2000)
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close(3000)
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!! Update S
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do i=1,N_updates
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do j=1,Dim
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col = Updates_index(i)
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S(j,col) = S(j,col) + Updates(j,i)
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end do
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end do
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!! Update S_inv
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call MaponiA3(S_inv, Dim, N_updates, Updates, Updates_index)
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!! Write new S and S_inv to file for check in Octave
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open(unit = 4000, file = "Slater.dat")
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open(unit = 5000, file = "Slater_inv.dat")
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do i=1,dim
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do j=1,dim
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write(4000,"(E23.15, 1X)", advance="no") S(i,j)
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write(5000,"(E23.15, 1X)", advance="no") S_inv(i,j)
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end do
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write(4000,*)
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write(5000,*)
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end do
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close(4000)
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close(5000)
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deallocate(Updates_index, A, A_inv, S, Updates, S_inv)
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end program
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