Check computation type

Contents

function [COMPtype, DStype] = check_COMPtype(obj)
        

CHECK_COMPTYPE

Check if the SSM computation should be carried out using the first order formalism. This may be due to user input, a complex valued dynamical system that is underlying, for 1-dimensional SSMs. Furthermore this function checks whether the symmetries in conjugate multi-indices can be taken advantage of, which is only possible for real dynamical systems

By default, COMPtype is set to 'first'. In general, for second order systems the user may choose, which computation approach he desires to use. Some cases do however demand the first order computation. In the following we ensure, that in these cases no second order computations are performed.

[COMPtype, DStype] = CHECK_COMPTYPE(obj)

See also: DynamicalSystem

DStype = checkDStype(obj);

if obj.System.order == 1
    % First order system -> first order computation
    COMPtype  = 'first';

elseif strcmp(obj.Options.COMPtype,'second')
    % Second order system with second order computation.

    if strcmp(DStype,'complex')
        % Complex dynamical systems are only supported in first order
        % computation

        fprintf('\n Second order SSM computation only supported for real systems, using first order algorithm. \n')
        COMPtype = 'first';

    else
        COMPtype = 'second'; %second order computation can be performed

    end

else
    % Second order system with default first order computation
    COMPtype  = 'first';
end


if obj.dimManifold == 1
    % System is not complex but computational routine works exactly the
    % same for 1D SSM as for complex DS
    fprintf('\n Computation of 1D SSM is performed using first order algorithm. \n')

    COMPtype  = 'first';
    DStype    = 'complex';
end

obj.Options.COMPtype = COMPtype;
obj.System.Options.DStype   = DStype;
        

end

function [DStype]   = checkDStype(obj)
        

Check if System is complex valued

if ~isreal(obj.System.A) || ~isreal(obj.System.B)
    DStype = 'complex';

    fprintf('\n System matrices are complex valued. \n')

%elseif ~checkF(obj)
%    DStype = 'complex';

%    fprintf('\n Internal forces are complex valued. \n')
else
    DStype = 'real';
end
        

end

function [indicator] = checkF(obj)


d = length(obj.System.F) ;
for j = 1:d
    if ~isreal(obj.System.F(j).coeffs)
        indicator = false;
        return
    end
end

indicator = true;
end
        

Published with MATLAB® R2023a