% UTP_AO_POLYFIT a set of UTPs for the ao/polyfit method
%
% M Hewitson 06-08-08
%
% $Id: utp_ao_polyfit.m,v 1.20 2010/05/05 04:20:10 mauro Exp $
%

% <MethodDescription>
%
% The polyfit method of the ao class fits a polynomial to the input y
% and/or x data.
%
% </MethodDescription>

function results = utp_ao_polyfit(varargin)
  
  % Check the inputs
  if nargin == 0
    
    % Some keywords
    class   = 'ao';
    mthd    = 'polyfit';
    
    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 that units are properly handled
    results = [results utp_09];    % Test against Matlab polyfit
    
    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')
        %%% 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, 'Default')), atest = false; end
        if numel(io(2).plists) ~= numel(io(2).sets), atest = false; end
        %%%%%%%%%%   SET 'Default'
        if io(3).plists.nparams ~= 2, atest = false; end
        % Check key
        if ~io(3).plists.isparam('N'), atest = false; end
        if ~io(3).plists.isparam('rescale'), atest = false; end
        % Check default value
        if ~isequal(io(3).plists.find('N'), 1), atest = false; end
        if ~isequal(io(3).plists.find('rescale'), false), atest = false; end
        % Check options
        if ~isequal(io(3).plists.getOptionsForParam('N'), {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}), atest = false; end
        if ~isequal(io(3).plists.getOptionsForParam('rescale'), {false, true}), 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 polyfit method fails with with a vector of AOs as input.
  %
  % </TestDescription>
  function result = utp_02
    
    % <SyntaxDescription>
    %
    % Test that the polyfit method works with a vector of AOs as input.
    %
    % </SyntaxDescription>
    
    try
      % <SyntaxCode>
      N = 2;
      % Call with single output
      out = polyfit(atvec, plist('N', N));
      % Call with multiple output
      [out_1, out_2, out_3] = polyfit(atvec, plist('N', N));
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end
    
    % <AlgoDescription>
    %
    % 1) Check we have the correct number of output objects in the version with
    %     single output
    % 2) Check we have the correct number of elements in the output objects
    %
    % </AlgoDescription>
    
    atest = true;
    if stest
      % <AlgoDescription>
      % 1) Check we have the correct number of output objects in the version with
      %     single output
      % 2) Check we have the correct number of elements in the output objects
      %
      % </AlgoDescription>
      % <AlgoCode>
      if ~isequal(size(out), [1 numel(atvec)]), atest = false; end
      for jj = 1:numel(out)
        if ~isequal(numel(out(jj).y), N+1), atest = false; end
      end
      if ~isequal(numel(out_1.y), N+1), atest = false; end
      if ~isequal(numel(out_2.y), N+1), atest = false; end
      if ~isequal(numel(out_3.y), N+1), atest = false; 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 polyfit method works with a matrix of AOs as input.
  %
  % </TestDescription>
  function result = utp_03
    
    % <SyntaxDescription>
    %
    % Test that the polyfit method works for a matrix of AOs as input.
    %
    % </SyntaxDescription>
    
    try
      % <SyntaxCode>
      N = 3;
      amat = [at1 at2 at5; at6 at5 at2];
      out = polyfit(amat, plist('N', N));
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end
    
    % <AlgoDescription>
    %
    % 1) Check we have the correct number of output objects
    %
    % </AlgoDescription>
    
    atest = true;
    if stest
      % <AlgoCode>
      if ~isequal(numel(out), numel(amat)), atest = false; end
      for jj = 1:numel(out)
        if ~isequal(numel(out(jj).y), N+1), atest = false; 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 polyfit method works with a list of AOs as input.
  %
  % </TestDescription>
  function result = utp_04
    
    % <SyntaxDescription>
    %
    % Test that the polyfit method works for a list of AOs as input.
    %
    % </SyntaxDescription>
    
    try
      % <SyntaxCode>
      N = 1;
      % Call with single output
      out = polyfit(at5, at6, at5, plist('N', N));
      % Call with multiple output
      [out_1, out_2, out_3] = polyfit(at5, at6, at5, plist('N', N));
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end
    
    % <AlgoDescription>
    %
    % 1) Check we have the correct number of output objects in the version with
    %     single output
    % 2) Check we have the correct number of elements in the output objects
    %
    % </AlgoDescription>
    
    atest = true;
    if stest
      % <AlgoDescription>
      % 1) Check we have the correct number of output objects in the version with
      %     single output
      % 2) Check we have the correct number of elements in the output objects
      %
      % </AlgoDescription>
      % <AlgoCode>
      if ~isequal(size(out), [1 3]), atest = false; end
      for jj = 1:numel(out)
        if ~isequal(numel(out(jj).y), N+1), atest = false; end
      end
      if ~isequal(numel(out_1.y), N+1), atest = false; end
      if ~isequal(numel(out_2.y), N+1), atest = false; end
      if ~isequal(numel(out_3.y), N+1), 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 polyfit method works with a mix of different shaped AOs as
  % input.
  %
  % </TestDescription>
  function result = utp_05
    
    % <SyntaxDescription>
    %
    % Test that the polyfit method works with an input of matrices and vectors
    % and single AOs.
    %
    % </SyntaxDescription>
    
    try
      % <SyntaxCode>
      amat = [at1 at2 at5; at6 at5 at2];
      avec = [at1 at2];
      out = polyfit(at5, avec, at6, amat, at5);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end
    
    % <AlgoDescription>
    %
    % 1) Check we have the correct number of output objects
    %
    % </AlgoDescription>
    
    atest = true;
    if stest
      % <AlgoCode>
      N = find(ao.getInfo('polyfit').plists, 'N');
      if ~isequal(numel(out), numel(amat) + numel(avec) + 3), atest = false; end
      for jj = 1:numel(out)
        if ~isequal(numel(out(jj).y), N+1), atest = false; end
      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 polyfit method properly applies history.
  %
  % </TestDescription>
  function result = utp_06
    
    % <SyntaxDescription>
    %
    % Test that the result of applying the polyfit method can be processed back
    % to an m-file.
    %
    % </SyntaxDescription>
    
    try
      % <SyntaxCode>
      out1  = polyfit(at1, plist('rescale', 'true'));
      out2  = polyfit(at1, plist('vector_out', false));
      mout1 = rebuild(out1);
      mout2 = rebuild(out2);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end
    
    % <AlgoDescription>
    %
    % 1) Check that the last entry in the history of 'out1' corresponds to
    %    'polyfit'.
    % 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 'out1' (matrix object)
      if ~strcmp(out1.hist.methodInfo.mname, 'polyfit'), atest = false; end
      if ~strcmp(out2.hist.methodInfo.mname, 'polyfit'), 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_06
  
  %% UTP_07
  
  % <TestDescription>
  %
  % Tests that the polyfit method cannot modify the input AO.
  %
  % </TestDescription>
  function result = utp_07
    
    % <SyntaxDescription>
    %
    % Test that the polyfit method cannot 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 at1 to work with
      ain = ao(at1);
      % modify ain
      aout = ain.polyfit();
      ain.polyfit();
      % </SyntaxCode>
      stest = true;
    catch err
      stest = true;
    end
    
    % <AlgoDescription>
    %
    % 1) Nothing to check
    %
    % </AlgoDescription>
    
    atest = true;
    if stest
      % <AlgoCode>
      
      % </AlgoCode>
    else
      atest = false;
    end
    
    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_07
  
  %% UTP_08
  
  % <TestDescription>
  %
  % Tests that the polyfit method handles units correctly.
  %
  % </TestDescription>
  function result = utp_08
    
    % <SyntaxDescription>
    %
    % Tests that the polyfit method handles units correctly.
    %
    % </SyntaxDescription>
    
    try
      % <SyntaxCode>
      % Input data
      nsecs = 100;
      fs = 10;
      
      u = get_random_unit();
      
      x1 = ao(plist('tsfcn', 'randn(size(t)) + 0.02*t + 5', ...
        'fs', fs, 'nsecs', nsecs, ...
        'yunits', u));
      x2 = ao(plist('tsfcn', 'randn(size(t)) + 0.02*t + 5', ...
        'fs', fs, 'nsecs', nsecs, ...
        'yunits', ''));
      
      % Settings for polyfit
      N = 2;
      out1 = polyfit(x1, plist('N', N));
      out2 = polyfit(x2, plist('N', N));
      
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end
    
    % <AlgoDescription>
    %
    % 1) Check that the units in both cases are yunits/(xunits)^(j)
    %
    % </AlgoDescription>
    
    atest = true;
    if stest
      % <AlgoCode>
      % 1) Check that the units in both cases are yunits/(xunits)^(j)
      for jj = 1:N+1
        if ~isequal(out1.yunits(jj), x1.yunits./(x1.xunits).^(N+1-jj)), atest = false; end
      end
      for jj = 1:N+1
        if ~isequal(out2.yunits(jj), x2.yunits./(x2.xunits).^(N+1-jj)), atest = false; end
      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>
  %
  % Tests that the ao/polyfit method agrees with MATLAB's polyfit when
  % configured to use the same parameters.
  %
  % </TestDescription>
  function result = utp_09
    
    % <SyntaxDescription>
    %
    % Test that applying polyfit works on a single AO.
    %
    % </SyntaxDescription>
    
    % <SyntaxCode>
    try
      
      % Make test AO
      nsecs = 100;
      fs    = 10;
      
      unit_list = unit.supportedUnits;
      u = unit(cell2mat(utils.math.randelement(unit_list,1)));
      
      a1 = ao(plist('nsecs', nsecs, 'fs', fs, ...
        'tsfcn', 'polyval([3 2 1 ], t) + 1000*randn(size(t))', 'xunits', 's', 'yunits', u));
      
      N = 4;
      pl = plist('N', N);
      p1 = a1.polyfit(pl.pset('rescale', true));
      p2 = a1.polyfit(pl.pset('rescale', false));
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end
    % </SyntaxCode>
    
    % <AlgoDescription>
    %
    % 1) Check that output agrees with the output of MATLAB's polyfit.
    %
    % </AlgoDescription>
    
    % <AlgoCode>
    atest = true;    
    
    if stest
      % Call Matlab polyfit with rescale
      [p,s,mu] = polyfit(a1.x, a1.y, N);
      
      if ~isequal(p, p1.y') || ~isequal(s, find(p1.procinfo, 's')) || ~isequal(mu, find(p1.procinfo, 'mu'))
        atest = false;
      end
      % Call Matlab polyfit without rescale
      [p,s] = polyfit(a1.x, a1.y, N);
      if ~isequal(p, p2.y') || ~isequal(s, find(p2.procinfo, 's'))
        atest = false;
      end
    else
      atest = false;
    end
    % </AlgoCode>
    
    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_09
end