% UTP_AO_EIG a set of UTPs for the ao/eig method
%
% M Hewitson 06-08-08
%
% $Id: utp_ao_eig.m,v 1.13 2011/04/17 10:09:29 hewitson Exp $
%

% <MethodDescription>
%
% The eig method of the ao class computes the eigenvalues of a square matrix in y
% and/or x data.
%
% </MethodDescription>

function results = utp_ao_eig(varargin)

  % Check the inputs
  if nargin == 0

    % Some keywords
    class   = 'ao';
    mthd    = 'eig';

    results = [];
    disp('******************************************************');
    disp(['****  Running UTPs for ' class '/' mthd]);
    disp('******************************************************');

    % Test AOs
    [at1,at2,at3,at4,at5,at6,atvec,atmat] = eval(['get_test_objects_' class]);

    % Exception list for the UTPs:
    [ple1,ple2,ple3,ple4,ple5,ple6] = get_test_ples();

    % Run the tests
    results = [results utp_01];    % getInfo call
    results = [results utp_02];    % Vector input
    results = [results utp_03];    % Matrix input
    results = [results utp_04];    % List input
    results = [results utp_05];    % Test with mixed input
    results = [results utp_06];    % Test history is working
    results = [results utp_07];    % Test the modify call works
    results = [results utp_08];    % Test with additional plist with the key 'axis'
    results = [results utp_09];    % Test input data shape == output data shape
    results = [results utp_10];    % Test output of the data
    results = [results utp_11(mthd, at4, ple1)];    % Test plotinfo doesn't disappear    

    disp('Done.');
    disp('******************************************************');

  elseif nargin == 1 % Check for UTP functions
    if strcmp(varargin{1}, 'isutp')
      results = 1;
    else
      results = 0;
    end
  else
    error('### Incorrect inputs')
  end

  %% UTP_01

  % <TestDescription>
  %
  % Tests that the getInfo call works for this method.
  %
  % </TestDescription>
  function result = utp_01


    % <SyntaxDescription>
    %
    % Test that the getInfo call works for no sets, all sets, and each set
    % individually.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      % Call for no sets
      io(1) = eval([class '.getInfo(''' mthd ''', ''None'')']);
      % Call for all sets
      io(2) = eval([class '.getInfo(''' mthd ''')']);
      % Call for each set
      for kk=1:numel(io(2).sets)
        io(kk+2) = eval([class '.getInfo(''' mthd ''', ''' io(2).sets{kk} ''')']);
      end
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

    % <AlgoDescription>
    %
    % 1) Check that getInfo call returned an minfo object in all cases.
    % 2) Check that all plists have the correct parameters.
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % check we have minfo objects
      if isa(io, 'minfo')
        atest = true;
        % SET 'None'
        if ~isempty(io(1).sets), atest = false; end
        if ~isempty(io(1).plists), atest = false; end
        % Check all Sets
        if ~any(strcmpi(io(2).sets, '1D')), atest = false; end
        if ~any(strcmpi(io(2).sets, '2D')), atest = false; end
        if ~any(strcmpi(io(2).sets, '3D')), atest = false; end
        if numel(io(2).plists) ~= numel(io(2).sets), atest = false; end
        % SET '1D'
        % Check key
        if ~io(3).plists.isparam('axis'), atest = false; end
        if ~io(3).plists.isparam('dim'), atest = false; end
        if ~io(3).plists.isparam('option'), atest = false; end
        % Check default value
        if ~isequal(io(3).plists.find('axis'), 'y'), atest = false; end
        if ~isEmptyDouble(io(3).plists.find('dim')), atest = false; end
        if ~isEmptyChar(io(3).plists.find('option')), atest = false; end
        % Check options
        if ~isequal(io(3).plists.getOptionsForParam('axis'),   {'y'}), atest = false; end
        if ~isequal(io(3).plists.getOptionsForParam('dim'),    {[]}), atest = false; end
        if ~isequal(io(3).plists.getOptionsForParam('option'), {'', 'nobalance'}), atest = false; end
        % SET '2D'
        % Check key
        if ~io(4).plists.isparam('axis'), atest = false; end
        if ~io(4).plists.isparam('dim'), atest = false; end
        if ~io(4).plists.isparam('option'), atest = false; end
        % Check default value
        if ~isequal(io(4).plists.find('axis'), 'y'), atest = false; end
        if ~isEmptyDouble(io(4).plists.find('dim')), atest = false; end
        if ~isEmptyChar(io(4).plists.find('option')), atest = false; end
        % Check options
        if ~isequal(io(4).plists.getOptionsForParam('axis'),   {'x', 'y', 'xy'}), atest = false; end
        if ~isequal(io(4).plists.getOptionsForParam('dim'),    {[]}), atest = false; end
        if ~isequal(io(4).plists.getOptionsForParam('option'), {'', 'nobalance'}), atest = false; end
        % SET '3D'
        % Check key
        if ~io(5).plists.isparam('axis'), atest = false; end
        if ~io(5).plists.isparam('dim'), atest = false; end
        if ~io(5).plists.isparam('option'), atest = false; end
        % Check default value
        if ~isequal(io(5).plists.find('axis'), 'z'), atest = false; end
        if ~isEmptyDouble(io(5).plists.find('dim')), atest = false; end
        if ~isEmptyChar(io(5).plists.find('option')), atest = false; end
        % Check options
        if ~isequal(io(5).plists.getOptionsForParam('axis'),   {'x', 'y', 'z', 'xyz'}), atest = false; end
        if ~isequal(io(5).plists.getOptionsForParam('dim'),    {[]}), atest = false; end
        if ~isequal(io(5).plists.getOptionsForParam('option'), {'', 'nobalance'}), atest = false; end     
      end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_01

  %% UTP_02

  % <TestDescription>
  %
  % Tests that the eig method works with a vector of AOs as input.
  %
  % </TestDescription>
  function result = utp_02

    % <SyntaxDescription>
    %
    % Test that the eig method works for a vector of AOs as input.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      atvec = [at4, at4, at4];
      out = eig(atvec);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

    % <AlgoDescription>
    %
    % 1) Check that the number of elements in 'out' is the same as in 'atvec'
    % 2) Check that each output AO contains the correct data.
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check we have the correct number of outputs
      if ~isequal(size(out), size(atvec)), atest = false; end
      % Check each output against the eigenvalues of the input
      for kk=1:numel(out)
        if ~isequal(eig(atvec(kk).data.getY), out(kk).data.getY)
          atest = false;
          break;
        end
      end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_02

  %% UTP_03

  % <TestDescription>
  %
  % Tests that the eig method works with a matrix of AOs as input.
  %
  % </TestDescription>
  function result = utp_03

    % <SyntaxDescription>
    %
    % Test that the eig method works for a matrix of AOs as input.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      atmat = [at4 at4 at4; at4 at4 at4];
      out = eig(atmat);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

    % <AlgoDescription>
    %
    % 1) Check that the number of elements in 'out' is the same as in 'atmat'
    % 2) Check that each output AO contains the correct data.
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check we have the correct number of outputs
      if ~isequal(size(out), size(atmat)), atest = false; end
      % Check each output against the eigenvalues of the input
      for kk=1:numel(out)
        if ~isequal(eig(atmat(kk).data.getY), out(kk).data.getY)
          atest = false;
          break;
        end
      end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_03

  %% UTP_04

  % <TestDescription>
  %
  % Tests that the eig method works with a list of AOs as input.
  %
  % </TestDescription>
  function result = utp_04

    % <SyntaxDescription>
    %
    % Test that the eig method works for a list of AOs as input.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      out = eig(at4, at4, at4);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

    % <AlgoDescription>
    %
    % 1) Check that the number of elements in 'out' is the same as in
    %    input.
    % 2) Check that each output AO contains the correct data.
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check we have the correct number of outputs
      if numel(out) ~= 3, atest = false; end
      % Check each output against the eigenvalues of the input
      if ~isequal(eig(at4.data.getY), out(1).data.getY), atest = false; end
      if ~isequal(eig(at4.data.getY), out(2).data.getY), atest = false; end
      if ~isequal(eig(at4.data.getY), out(3).data.getY), atest = false; end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_04

  %% UTP_05

  % <TestDescription>
  %
  % Tests that the eig method works with a mix of different shaped AOs as
  % input.
  %
  % </TestDescription>
  function result = utp_05

    % <SyntaxDescription>
    %
    % Test that the eig method works with an input of matrices and vectors
    % and single AOs.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      atmat = [at4 at4; at4 at4];
      atvec = [at4 at4];
      out = eig(at4,atvec,at4,atmat,at4);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

    % <AlgoDescription>
    %
    % 1) Check that the number of elements in 'out' is the same as in
    %    input.
    % 2) Check that each output AO contains the correct data.
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check we have the correct number of outputs
      if numel(out) ~= (3+numel(atmat)+numel(atvec)), atest = false; end
      % Check the first input
      nout = 1;
      if ~isequal(eig(at4.data.getY), out(nout).data.getY), atest = false; end
      nout = nout+1;
      % Check the elements of the input vector
      for jj=1:numel(atvec)
        if ~isequal(eig(atvec(jj).data.getY), out(nout).data.getY), atest = false; end
        nout = nout+1;
      end
      % Check the 3rd input
      if ~isequal(eig(at4.data.getY), out(nout).data.getY), atest = false; end
      nout = nout+1;
      % Check the elements of the input matrix
      for jj=1:numel(atmat)
        if ~isequal(eig(atmat(jj).data.getY), out(nout).data.getY), atest = false; end
        nout = nout+1;
      end
      % Check the last input
      if ~isequal(eig(at4.data.getY), out(nout).data.getY), atest = false; end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_05

  %% UTP_06

  % <TestDescription>
  %
  % Tests that the eig method properly applies history.
  %
  % </TestDescription>
  function result = utp_06

    % <SyntaxDescription>
    %
    % Test that the result of applying the eig method can be processed back
    % to an m-file.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      out  = eig(at4);
      mout = rebuild(out);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

    % <AlgoDescription>
    %
    % 1) Check that the last entry in the history of 'out' corresponds to
    %    'eig'.
    % 2) Check that the re-built object is the same object as 'out'.
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check the last step in the history of 'out'
      if ~strcmp(out.hist.methodInfo.mname, 'eig'), atest = false; end
      % Check the re-built object
      if ~eq(mout, out, ple2), atest = false; end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_06

  %% UTP_07

  % <TestDescription>
  %
  % Tests that the eig method can modify the input AO.
  %
  % </TestDescription>
  function result = utp_07

    % <SyntaxDescription>
    %
    % Test that the eig method can modify the input AO by calling with no
    % output and that the method doesn't change the input of the function
    % notation (with a equal sign).
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      % copy at4 to work with
      ain = ao(at4);
      % modify ain
      aout = ain.eig();
      ain.eig();
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

    % <AlgoDescription>
    %
    % 1) Check that 'at4' and 'ain' are now different.
    % 2) Check that 'ain' is eig(at4).
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check that eig modified the input by comparing to the copy
      if eq(ao(at4), ain, ple1), atest = false; end
      % Check that eig doesn't modified the input for the function notation
      if ~eq(aout, ain, ple1), atest = false; end
      % Check that the modified input is the eig value of the copy
      if ~isequal(eig(at4.data.getY), ain.data.getY), atest = false; end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_07

  %% UTP_08

  % <TestDescription>
  %
  % Control the method with a plist.
  %
  % </TestDescription>
  function result = utp_08

    % <SyntaxDescription>
    %
    % Test that the eig method can modify the single axis controlled by the
    % plist and the resuld can be processed back to an m-file.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      op1 = 'nobalance';
      op2 = [9 8 7; 6 5 4; 3 2 1];
      pl0 = plist('option', op1);
      pl1 = plist('option', op2);
      out1 = eig(at4, pl0);
      out2 = eig(at4, pl1);
      mout1 = rebuild(out1);
      mout2 = rebuild(out2);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

    % <AlgoDescription>
    %
    % 1) Check that the svd method applies with different options.
    % 2) Check that the re-built objects are the same object as 'out[1..2]'.
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check each output against the eigenvalues of the input
      if ~isequal(eig(at4.data.getY, op1), out1.data.getY), atest = false; end
      if ~isequal(eig(at4.data.getY, op2), out2.data.getY), atest = false; end
      % Check the re-built object
      if ~eq(mout1, out1, ple2), atest = false; end
      if ~eq(mout2, out2, ple2), atest = false; end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_08

  %% UTP_09

  % <TestDescription>
  %
  % Control the method with a plist.
  %
  % </TestDescription>
  function result = utp_09

    % <SyntaxDescription>
    %
    % Test that the eig method keeps the data shape of the input object. The
    % input AO must be an AO with row data and an AO with column data.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      out1 = eig(at4);
      out2 = eig(at4);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

    % <AlgoDescription>
    %
    % 1) Check that the shpe of the data doesn't change.
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check the shape of the output data
      if size(out1.data.y) ~= size(eig(at4.data.y)), atest = false; end
      if size(out2.data.y) ~= size(eig(at4.data.y)), atest = false; end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_09

  %% UTP_10

  % <TestDescription>
  %
  % Check that the eig method pass back the output objects to a list of
  % output variables or to a single variable.
  %
  % </TestDescription>
  function result = utp_10

    % <SyntaxDescription>
    %
    % Call the method with a list of output variables and with a single output
    % variable. Additionaly check that the rebuild method works on the output.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      at4_10 = at4+10;
      [o1, o2] = eig(at4, at4_10);
      o3  = eig(at4, at4_10);
      mout1 = rebuild(o1);
      mout2 = rebuild(o2);
      mout3 = rebuild(o3);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

    % <AlgoDescription>
    %
    % 1) Check that the output contains the right number of objects
    % 2) Check that the 'rebuild' method produces the same object as 'out'.
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check the number of outputs
      if numel(o1) ~=1, atest = false; end
      if numel(o2) ~=1, atest = false; end
      if numel(o3) ~=2, atest = false; end
      % Check the rebuilding of the object
      if ~eq(o1, mout1, ple2), atest = false; end
      if ~eq(o2, mout2, ple2), atest = false; end
      if ~eq(o3, mout3, ple2), atest = false; end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_10

end