% UTP_AO_INTERP a set of UTPs for the ao/interp method
%
% M Hewitson 06-08-08
%
% $Id: utp_ao_interp.m,v 1.10 2009/08/07 10:28:36 hewitson Exp $
%

% <MethodDescription>
%
% The interp method of the ao class interpolates AOs.
%
% </MethodDescription>

function results = utp_ao_interp(varargin)

  % Check the inputs
  if nargin == 0

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

    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 the data shape
    results = [results utp_09];    % Test output of the data
    results = [results utp_10];    % Test different interpolations
    results = [results utp_11(mthd, at1, ple1, plist('vertices', 0:10))];    % 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')
        %%% 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('vertices'), atest = false; end
        if ~io(3).plists.isparam('method'), atest = false; end
        % Check default value
        if ~isEmptyDouble(io(3).plists.find('vertices')), atest = false; end
        if ~isequal(io(3).plists.find('method'), 'spline'), atest = false; end
        % Check options
        if ~isequal(io(3).plists.getOptionsForParam('vertices'), {[]}), atest = false; end
        if ~isequal(io(3).plists.getOptionsForParam('method'), {'nearest', 'linear', 'spline', 'cubic'}), 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 interp method works with a vector of AOs as input.
  %
  % </TestDescription>
  function result = utp_02

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

    try
      % <SyntaxCode>
      v    = linspace(0,100).';
      out  = interp(atvec, plist('vertices', v));
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

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

    atest = true;
    TOL   = 7e-14;
    if stest
      % <AlgoCode>
      % Check we have the correct number of outputs
      if numel(out) ~= numel(atvec), atest = false; end
      % Check the data
      for kk = 1:numel(atvec)
        if isa(atvec(kk).data, 'cdata')
          % for cdata object
          y = interp1(atvec(kk).y, v, 'spline', 'extrap');
          if ~isequal(y, out(kk).y), atest = false; end
        else
          % for tsdata, fsdata and xydata objects
          y = interp1(atvec(kk).x, atvec(kk).y, v, 'spline', 'extrap');
          if any(abs(v - out(kk).x) > TOL), atest = false; end
          if ~isequal(y, out(kk).y), atest = false; end
        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 interp method works with a matrix of AOs as input.
  %
  % </TestDescription>
  function result = utp_03

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

    try
      % <SyntaxCode>
      v    = linspace(0,100).';
      out  = interp(atmat, plist('vertices', v));
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

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

    atest = true;
    TOL   = 7e-14;
    if stest
      % <AlgoCode>
      % Check we have the correct number of outputs
      if numel(out) ~= numel(atmat), atest = false; end
      % Check the data
      for kk = 1:numel(atmat)
        if isa(atmat(kk).data, 'cdata')
          % for cdata object
          y = interp1(atmat(kk).y, v, 'spline', 'extrap');
          if ~isequal(y, out(kk).y), atest = false; end
        else
          % for tsdata, fsdata and xydata objects
          y = interp1(atmat(kk).x, atmat(kk).y, v, 'spline', 'extrap');
          if any(abs(v - out(kk).x) > TOL), atest = false; end
          if ~isequal(y, out(kk).y), atest = false; end
        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 interp method works with a list of AOs as input.
  %
  % </TestDescription>
  function result = utp_04

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

    try
      % <SyntaxCode>
      v   = linspace(0,100).';
      out = interp(at1,at5,at6, plist('vertices', v));
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

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

    atest = true;
    aoin  = [at1, at5, at6];
    TOL   = 7e-14;
    if stest
      % <AlgoCode>
      % Check we have the correct number of outputs
      if numel(out) ~= 3, atest = false; end
      % Check the data
      for kk = 1:numel(aoin)
        if isa(aoin(kk).data, 'cdata')
          % for cdata object
          y = interp1(aoin(kk).y, v, 'spline', 'extrap');
          if ~isequal(y, out(kk).y), atest = false; end
        else
          % for tsdata, fsdata and xydata objects
          y = interp1(aoin(kk).x, aoin(kk).y, v, 'spline', 'extrap');
          if any(abs(v - out(kk).x) > TOL), atest = false; end
          if ~isequal(y, out(kk).y), atest = false; end
        end
      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 interp method works with a mix of different shaped AOs as
  % input.
  %
  % </TestDescription>
  function result = utp_05

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

    try
      % <SyntaxCode>
      v   = linspace(0,100).';
      out = interp(at1,[at5 at6],at5,[at5 at1; at6 at1],at6, plist('vertices', v));
      % </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>

    aoin  = [at1, reshape([at5 at6], 1, []), at5, reshape([at5 at1; at6 at1], 1, []), at6];
    TOL   = 7e-14;
    atest = true;
    if stest
      % <AlgoCode>
      % Check we have the correct number of outputs
      if numel(out) ~= 9, atest = false; end
      % Check the data
      for kk = 1:numel(aoin)
        if isa(aoin(kk).data, 'cdata')
          % for cdata object
          y = interp1(aoin(kk).y, v, 'spline', 'extrap');
          if ~isequal(y, out(kk).y), atest = false; end
        else
          % for tsdata, fsdata and xydata objects
          y = interp1(aoin(kk).x, aoin(kk).y, v, 'spline', 'extrap');
          if any(abs(v - out(kk).x) > TOL), atest = false; end
          if ~isequal(y, out(kk).y), atest = false; end
        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 interp method properly applies history.
  %
  % </TestDescription>
  function result = utp_06

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

    try
      % <SyntaxCode>
      v    = linspace(0,100);
      out  = interp(at5, plist('vertices', v));
      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
    %    'interp'.
    % 2) Check that the re-built object is the same as 'out'.
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check the last step in the history of 'out'
      if ~strcmp(out.hist.methodInfo.mname, 'interp'), 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 interp method can modify the input AO.
  %
  % </TestDescription>
  function result = utp_07

    % <SyntaxDescription>
    %
    % Test that the interp method can modify the input AO by calling with no
    % output.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      % copy at1 to work with
      ain = ao(at1);
      % modify ain
      v    = linspace(0,100).';
      pl   = plist('vertices', v);
      aout = ain.interp(pl);
      ain.interp(pl);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

    % <AlgoDescription>
    %
    % 1) Check that 'at1' and 'ain' are now different.
    % 2) Check that 'ain' is interp(at1).
    %
    % </AlgoDescription>

    atest = true;
    TOL   = 7e-14;
    if stest
      % <AlgoCode>
      % Check that interp modified the input by comparing to the copy
      if eq(ao(at1), ain, ple1), atest = false; end
      % Check that interp doesn't modified the input for the function notation
      if ~eq(aout, ain, ple1), atest = false; end
      % Check that the modified input is the interp of the copy
      y = interp1(at1.x, at1.y, v, 'spline', 'extrap');
      if  any(abs(v - ain.x) > TOL), atest = false; end
      if ~isequal(y, ain.y), 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>
  %
  % Tests that the interp method keeps the data shape of the input object.
  %
  % </TestDescription>
  function result = utp_08

    % <SyntaxDescription>
    %
    % Test that the interp 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>
      v    = linspace(0,100);
      pl   = plist('vertices', v);
      out1 = interp(at5, pl);
      out2 = interp(at6, pl);
      % </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,2) ~= 1, atest = false; end
      if size(out2.data.y,1) ~= 1, 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>
  %
  % Check that the interp method pass back the output objects to a list of
  % output variables or to a single variable.
  %
  % </TestDescription>
  function result = utp_09

    % <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>
      v    = linspace(0,100);
      pl   = plist('vertices', v);
      [o1, o2] = interp(at5, at6, pl);
      o3  = interp(at5, at6, pl);
      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_09

  %% UTP_10

  % <TestDescription>
  %
  % Tests that the interp method can different interpolations.
  %
  % </TestDescription>
  function result = utp_10

    % <SyntaxDescription>
    %
    % Test that the interp method can all of MATLAB interpolates methods.
    % 'nearest' - Nearest neighbor interpolation
    % 'linear'  - Linear interpolation
    % 'spline'  - Cubic spline interpolation (see UTPs above)
    % 'pchip'   - Piecewise cubic Hermite interpolation
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      v    = linspace(0,100).';
      mtd1 = 'nearest';
      mtd2 = 'linear';
      mtd3 = 'pchip';
      pl1  = plist('vertices', v, 'method', mtd1);
      pl2  = plist('vertices', v, 'method', mtd2);
      pl3  = plist('vertices', v, 'method', mtd3);
      out1 = at1.interp(pl1);
      out2 = at1.interp(pl2);
      out3 = at1.interp(pl3);
      mout1 = rebuild(out1);
      mout2 = rebuild(out2);
      mout3 = rebuild(out3);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

    % <AlgoDescription>
    %
    % 1) Check the different interpolations
    % 2) Check that the re-built objects are the same as 'out1..3'.
    %
    % </AlgoDescription>

    atest = true;
    TOL   = 7e-14;
    if stest
      % <AlgoCode>
      % Check the data
      y1 = interp1(at1.x, at1.y, v, mtd1, 'extrap');
      y2 = interp1(at1.x, at1.y, v, mtd2, 'extrap');
      y3 = interp1(at1.x, at1.y, v, mtd3, 'extrap');
      if  any(abs(v - out1.x) > TOL), atest = false; end
      if ~isequal(y1, out1.y), atest = false; end
      if  any(abs(v - out2.x) > TOL), atest = false; end
      if ~isequal(y2, out2.y), atest = false; end
      if  any(abs(v - out3.x) > TOL), atest = false; end
      if ~isequal(y3, out3.y), atest = false; end
      % Check the re-built object
      if ~eq(mout1, out1, ple2), atest = false; end
      if ~eq(mout2, out2, ple2), atest = false; end
      if ~eq(mout3, out3, 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