view spdiagsVariablePeriodic.m @ 913:95cd70f4b07d feature/utux2D

Bugfix in nonConformingInterfaceOptions
author Martin Almquist <malmquist@stanford.edu>
date Sun, 25 Nov 2018 21:08:55 -0800
parents 50e77b15d841
children 8c65ef13df89
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function A = spdiagsVariablePeriodic(vals,diags)
    % Creates an m x m periodic discretization matrix.
    % vals - m x ndiags matrix of values
    % diags - 1 x ndiags vector of the 'center diagonals' that vals end up on
    % vals that are not on main diagonal are going to spill over to 
    % off-diagonal corners.

    default_arg('diags',0);

    [m, ~] = size(vals); 

    A = sparse(m,m);

    for i = 1:length(diags)
        
        d = diags(i);
        a = vals(:,i);

        % Sub-diagonals
        if d < 0
            a_bulk = a(1+abs(d):end);
            a_corner = a(1:1+abs(d)-1);
            corner_diag = m-abs(d);
            A = A + spdiagVariable(a_bulk, d); 
            A = A + spdiagVariable(a_corner, corner_diag);

        % Super-diagonals
        elseif d > 0
            a_bulk = a(1:end-d);
            a_corner = a(end-d+1:end);
            corner_diag = -m + d;
            A = A + spdiagVariable(a_bulk, d); 
            A = A + spdiagVariable(a_corner, corner_diag);

        % Main diagonal
        else
             A = A + spdiagVariable(a, 0);
        end

    end

end