% UTP_PZMODEL_TOMIIR a set of UTPs for the pzmodel/tomiir method
%
% M Hewitson 06-08-08
%
% $Id: utp_pzmodel_tomiir.m,v 1.4 2010/08/19 13:27:27 ingo Exp $
%

% <MethodDescription>
%
% The tomiir method of the pzmodel class converts a pole/zero model to
% an IIR filter using a bilinear transform.
%
% </MethodDescription>

function results = utp_pzmodel_tomiir(varargin)

  % Check the inputs
  if nargin == 0

    % Some keywords
    class   = 'pzmodel';
    mthd    = 'tomiir';

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

    % Test PZMODELs
    [pz1, pz2, pz3, pz4, pz5, pzv, pzm] = get_test_objects_pzmodel;

    % 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 output of the data
    results = [results utp_10];    % Test indirect the protected 'pzm2ab' method. two complex pole/zero pairs
    results = [results utp_11];    % Test indirect the protected 'pzm2ab' method. complex pole
    results = [results utp_12];    % Test indirect the protected 'pzm2ab' method. complex zero
    results = [results utp_13];    % Test indirect the protected 'pzm2ab' method. real pole
    results = [results utp_14];    % Test indirect the protected 'pzm2ab' method. real zero

    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 ~= 1, atest = false; end
        % Check key
        if ~io(3).plists.isparam('fs'), atest = false; end
        % Check default value
        if ~isequal(io(3).plists.find('fs'), 1), atest = false; end
        % Check options
        if ~isequal(io(3).plists.getOptionsForParam('fs'), {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_01

  %% UTP_02

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

    % <SyntaxDescription>
    %
    % Test that the tomiir method works for a vector of PZMODEL objects as input.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      out  = tomiir(pzv);
      mout = rebuild(out);
      % </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 'pzv'
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check we have the correct number of outputs
      if ~isequal(size(out), size(pzv)), atest = false; end
      if ~isa(out, 'miir'), atest = false; end
      % Check the rebuilt 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_02

  %% UTP_03

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

    % <SyntaxDescription>
    %
    % Test that the tomiir method works for a matrix of PZMODEL objects as input.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      out  = tomiir(pzm);
      mout = rebuild(out);
      % </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 'pzm'
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check we have the correct number of outputs
      if ~isequal(size(out), size(pzm)), atest = false; end
      if ~isa(out, 'miir'), atest = false; end
      % Check the rebuilt object
      for ii = 1:numel(out)
        if ~eq(mout(ii), out(ii), ple2), 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 tomiir method works with a list of PZMODEL objects as input.
  %
  % </TestDescription>
  function result = utp_04

    % <SyntaxDescription>
    %
    % Test that the tomiir method works for a list of PZMODEL objects as input.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      out  = tomiir(pz1,pz2,pz3);
      mout = rebuild(out);
      % </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 PZMODEL object contains the correct data.
    %
    % </AlgoDescription>

    atest = true;
    pzin  = [pz1,pz2,pz3];
    if stest
      % <AlgoCode>
      % Check we have the correct number of outputs
      if ~isequal(size(out), size(pzin)), atest = false; end
      if ~isa(out, 'miir'), atest = false; end
      % Check the rebuilt 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_04

  %% UTP_05

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

    % <SyntaxDescription>
    %
    % Test that the tomiir method works with an input of matrices and vectors
    % and single PZMODEL objects.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      out  = tomiir(pz1,pzv,pz2,pzm,pz3);
      mout = rebuild(out);
      % </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 PZMODEL object contains the correct data.
    %
    % </AlgoDescription>

    atest = true;
    pzin  = [pz1,reshape(pzv,1,[]),pz2,reshape(pzm,1,[]),pz3];
    if stest
      % <AlgoCode>
      % Check we have the correct number of outputs
      if ~isequal(size(out), size(pzin)), atest = false; end
      if ~isa(out, 'miir'), atest = false; end
      % Check the rebuilt 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_05

  %% UTP_06

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

    % <SyntaxDescription>
    %
    % Test that the result of applying the tomiir method can be processed back.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      out  = tomiir(pz5);
      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
    %    'tomiir'.
    % 2) Check that re-built object is the same object as the input.
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check the last step in the history of 'out'
      if ~strcmp(out.hist.methodInfo.mname, 'tomiir'), atest = false; end
      % Run 'test.m' and check the result
      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 tomiir method can modify the input PZMODEL object.
  %
  % </TestDescription>
  function result = utp_07

    % <SyntaxDescription>
    %
    % Test that the tomiir method can not modify the input PZMODEL object .
    % The method must throw an error for the modifier call.
    %
    % </SyntaxDescription>

    % <SyntaxCode>
    try
      ain.tomiir();
      stest = false;
    catch err
      stest = true;
    end
    % </SyntaxCode>

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

    % <SyntaxDescription>
    %
    % Test that the tomiir method use the different values in a plist.
    %
    % </SyntaxDescription>

    try
      % <SyntaxCode>
      fs = 5;
      pl = plist('fs', fs);
      out  = tomiir(pz5, pl);
      mout = rebuild(out);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

    % <AlgoDescription>
    %
    % 1) Check the output
    % 2) Check the re-built object
    %
    % </AlgoDescription>

    atest = true;
    if stest
      % <AlgoCode>
      % Check the output
      if ~isa(out, 'miir'), atest = false; end
      if out.fs ~= fs, atest = false; end
      % Check the rebuilt 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_08

  %% UTP_09

  % <TestDescription>
  %
  % Check that the tomiir 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>
      [o1, o2] = tomiir(pz5, pz4);
      o3  = tomiir(pz5, pz4);
      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>
  %
  % Check indirect the protected 'pzm2ab' method because tomiir uses this
  % method to get the a and b of the iir object.
  %
  % </TestDescription>
  function result = utp_10

    % <SyntaxDescription>
    %
    % Create some special pole/zero models to test the 'pzm2ab' method
    % indirect with the tomiir method. Test with complex pole/zero pairs.
    % This UTP define a simple method to get the a-, and b-value from a
    % complex pole/zero pair.
    % It uses the following code:
    function [a,b] = utp_cpz2ab(pf, pq, zf, zq, fs)
      wp = pf*2*pi;
      wp2 = wp^2;
      wz = zf*2*pi;
      wz2 = wz^2;
      
      k = 4*fs*fs + 2*wp*fs/pq + wp2;
      
      a(1) = (4*fs*fs + 2*wz*fs/zq + wz2)/k;
      a(2) = (2*wz2 - 8*fs*fs)/k;
      a(3) = (4*fs*fs - 2*wz*fs/zq + wz2)/k;
      b(1) = 1;
      b(2) = (2*wp2 - 8*fs*fs)/k;
      b(3) = (wp2 + 4*fs*fs - 2*wp*fs/pq)/k;
      
      g = sum(a) / sum(b);
      a = a / g;
    end
    % </SyntaxDescription>

    try
      % <SyntaxCode>    
      pzm1 = pzmodel(1, pz(1+2i), pz(1+5i));
      pzm2 = pzmodel(1, [pz(1+2i) pz(2+2i)], [pz(1+5i) pz(2+5i)]);
      out1 = tomiir(pzm1);
      out2 = tomiir(pzm2);
      
      mout1 = rebuild(out1);
      mout2 = rebuild(out2);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

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

    atest = true;
    if stest
      % <AlgoCode>
      % Check the output class
      if ~isa(out1, 'miir'), atest = false; end
      if ~isa(out2, 'miir'), atest = false; end
      % Comput the a and b from a complex pole/zero pair
      [a,b] = utp_cpz2ab(pzm1.poles.f, pzm1.poles.q, pzm1.zeros.f, pzm1.zeros.q, 1);
      % Compute the cascade of the two different filters (necessary for pzm2):
      [a1,b1] = utp_cpz2ab(pzm2.poles(1).f, pzm2.poles(1).q, pzm2.zeros(1).f, pzm2.zeros(1).q, 1);
      [a2,b2] = utp_cpz2ab(pzm2.poles(2).f, pzm2.poles(2).q, pzm2.zeros(2).f, pzm2.zeros(2).q, 1);
      ca(1) = a1(1)*a2(1);
      ca(2) = a1(1)*a2(2) + a1(2)*a2(1);
      ca(3) = a1(1)*a2(3) + a1(2)*a2(2) + a1(3)*a2(1);
      ca(4) =               a1(2)*a2(3) + a1(3)*a2(2);
      ca(5) =                             a1(3)*a2(3);
      cb(1) = b1(1)*b2(1);
      cb(2) = b1(1)*b2(2) + b1(2)*b2(1);
      cb(3) = b1(1)*b2(3) + b1(2)*b2(2) + b1(3)*b2(1);
      cb(4) =               b1(2)*b2(3) + b1(3)*b2(2);
      cb(5) =                             b1(3)*b2(3);
      % Check a and b
      if ~isequal(a, out1.a), atest = false; end
      if ~isequal(b, out1.b), atest = false; end
      if ~isequal(ca, out2.a), atest = false; end
      if ~isequal(cb, out2.b), atest = false; end
      % Check the rebuilt object
      if ~eq(out1, mout1, ple2), atest = false; end
      if ~eq(out2, mout2, 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

  %% UTP_11

  % <TestDescription>
  %
  % Check indirect the protected 'pzm2ab' method because tomiir uses this
  % method to get the a and b of the iir object.
  %
  % </TestDescription>
  function result = utp_11

    % <SyntaxDescription>
    %
    % Create some special pole/zero models to test the 'pzm2ab' method indirect
    % with the tomiir method. Test with complex poles.
    % This UTPs define a simple method to get the a-, and b-value from a
    % complex pole. It uses the following code:
    function [a,b] = utp_cp2iir(pf, pq, fs)
      w0  = pf*2*pi;
      w02 = w0^2;
      
      k    = (pq*w02 + 4*pq*fs*fs + 2*w0*fs) / (pq*w02);
      
      b(1) =  1;
      b(2) = (2*w02-8*fs*fs) / (k*w02);
      b(3) = (pq*w02 + 4*pq*fs*fs - 2*w0*fs) / (k*pq*w02);
      
      a(1) =  1/k;
      a(2) = -2/k;
      a(3) = -1/k;
      a    =  a*-2;
    end
    % </SyntaxDescription>

    try
      % <SyntaxCode>    
      pzm1 = pzmodel(1, pz(1+2i), []);
      pzm2 = pzmodel(1, [pz(1+2i) pz(2+2i)], []);
      out1 = tomiir(pzm1);
      out2 = tomiir(pzm2);
      
      mout1 = rebuild(out1);
      mout2 = rebuild(out2);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

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

    atest = true;
    if stest
      % <AlgoCode>
      % Check the output class
      if ~isa(out1, 'miir'), atest = false; end
      if ~isa(out2, 'miir'), atest = false; end
      % Comput the a and b from a complex pole
      [a,b] = utp_cp2iir(pzm1.poles.f, pzm1.poles.q, 1);
      % Compute the cascade of the two different filters (necessary for pzm2):
      [a1,b1] = utp_cp2iir(pzm2.poles(1).f, pzm2.poles(1).q, 1);
      [a2,b2] = utp_cp2iir(pzm2.poles(2).f, pzm2.poles(2).q, 1);
      ca(1) = a1(1)*a2(1);
      ca(2) = a1(1)*a2(2) + a1(2)*a2(1);
      ca(3) = a1(1)*a2(3) + a1(2)*a2(2) + a1(3)*a2(1);
      ca(4) =               a1(2)*a2(3) + a1(3)*a2(2);
      ca(5) =                             a1(3)*a2(3);
      cb(1) = b1(1)*b2(1);
      cb(2) = b1(1)*b2(2) + b1(2)*b2(1);
      cb(3) = b1(1)*b2(3) + b1(2)*b2(2) + b1(3)*b2(1);
      cb(4) =               b1(2)*b2(3) + b1(3)*b2(2);
      cb(5) =                             b1(3)*b2(3);
      % Check a and b
      if ~isequal(a, out1.a), atest = false; end
      if ~isequal(b, out1.b), atest = false; end
      if ~isequal(ca, out2.a), atest = false; end
      if ~isequal(cb, out2.b), atest = false; end
      % Check the rebuilt object
      if ~eq(out1, mout1, ple2), atest = false; end
      if ~eq(out2, mout2, ple2), atest = false; end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_11

  %% UTP_12

  % <TestDescription>
  %
  % Check indirect the protected 'pzm2ab' method because tomiir uses this
  % method to get the a and b of the iir object.
  %
  % </TestDescription>
  function result = utp_12
    
    % <SyntaxDescription>
    %
    % Create some special pole/zero models to test the 'pzm2ab' method indirect
    % with the tomiir method. Test with complex zeros.
    % This UTPs define a simple method to get the a-, and b-value from a
    % complex zero. It uses the following code:
    function [a,b] = utp_cz2iir(zf, zq, fs)
      w0  = zf*2*pi;
      w02 = w0^2;
      
      a(1) = (-zq*w02/2 - 2*zq*fs*fs - w0*fs) / (zq*w02);
      a(2) = (-w02+4*fs*fs) / w02;
      a(3) = (-zq*w02/2 - 2*zq*fs*fs + w0*fs) / (zq*w02);
      
      b(1) =  1;
      b(2) = -2;
      b(3) = -1;
    end
    % </SyntaxDescription>

    try
      % <SyntaxCode>    
      pzm1 = pzmodel(1, [], pz(1+2i));
      pzm2 = pzmodel(1, [], [pz(1+2i) pz(2+2i)]);
      out1 = tomiir(pzm1);
      out2 = tomiir(pzm2);
      
      mout1 = rebuild(out1);
      mout2 = rebuild(out2);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

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

    atest = true;
    if stest
      % <AlgoCode>
      % Check the output class
      if ~isa(out1, 'miir'), atest = false; end
      if ~isa(out2, 'miir'), atest = false; end
      % Comput the a and b from a complex zero
      [a,b] = utp_cz2iir(pzm1.zeros.f, pzm1.zeros.q, 1);
      % Compute the cascade of the two different filters (necessary for pzm2):
      [a1,b1] = utp_cz2iir(pzm2.zeros(1).f, pzm2.zeros(1).q, 1);
      [a2,b2] = utp_cz2iir(pzm2.zeros(2).f, pzm2.zeros(2).q, 1);
      ca(1) = a1(1)*a2(1);
      ca(2) = a1(1)*a2(2) + a1(2)*a2(1);
      ca(3) = a1(1)*a2(3) + a1(2)*a2(2) + a1(3)*a2(1);
      ca(4) =               a1(2)*a2(3) + a1(3)*a2(2);
      ca(5) =                             a1(3)*a2(3);
      cb(1) = b1(1)*b2(1);
      cb(2) = b1(1)*b2(2) + b1(2)*b2(1);
      cb(3) = b1(1)*b2(3) + b1(2)*b2(2) + b1(3)*b2(1);
      cb(4) =               b1(2)*b2(3) + b1(3)*b2(2);
      cb(5) =                             b1(3)*b2(3);
      % Check a and b
      if ~isequal(a, out1.a), atest = false; end
      if ~isequal(b, out1.b), atest = false; end
      if ~isequal(ca, out2.a), atest = false; end
      if ~isequal(cb, out2.b), atest = false; end
      % Check the rebuilt object
      if ~eq(out1, mout1, ple2), atest = false; end
      if ~eq(out2, mout2, ple2), atest = false; end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_12

  %% UTP_13

  % <TestDescription>
  %
  % Check indirect the protected 'pzm2ab' method because tomiir uses this
  % method to get the a and b of the iir object.
  %
  % </TestDescription>
  function result = utp_13
    
    % <SyntaxDescription>
    %
    % Create some special pole/zero models to test the 'pzm2ab' method indirect
    % with the tomiir method. Test with real poles.
    % This UTPs define a simple method to get the a-, and b-value from a
    % real pole. It uses the following code:
    function [a,b] = utp_rp2iir(pf, fs)
      w0 = pf*2*pi;
      a(1) = w0 / (2*fs + w0);
      a(2) = a(1);
      b(1) = 1;
      b(2) = (w0-2*fs) / (w0+2*fs);
    end
    % </SyntaxDescription>

    try
      % <SyntaxCode>    
      pzm1 = pzmodel(1, pz(1), []);
      pzm2 = pzmodel(1, [pz(1) pz(2)], []);
      out1 = tomiir(pzm1);
      out2 = tomiir(pzm2);
      
      mout1 = rebuild(out1);
      mout2 = rebuild(out2);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

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

    atest = true;
    if stest
      % <AlgoCode>
      % Check the output class
      if ~isa(out1, 'miir'), atest = false; end
      if ~isa(out2, 'miir'), atest = false; end
      % Comput the a and b from a real pole
      [a,b] = utp_rp2iir(pzm1.poles.f, 1);
      % Compute the cascade of the two different filters (necessary for pzm2):
      [a1,b1] = utp_rp2iir(pzm2.poles(1).f, 1);
      [a2,b2] = utp_rp2iir(pzm2.poles(2).f, 1);
      ca(1) = a1(1)*a2(1);
      ca(2) = a1(1)*a2(2) + a1(2)*a2(1);
      ca(3) =               a1(2)*a2(2);
      cb(1) = b1(1)*b2(1);
      cb(2) = b1(1)*b2(2) + b1(2)*b2(1);
      cb(3) =               b1(2)*b2(2);
      % Check a and b
      if ~isequal(a, out1.a), atest = false; end
      if ~isequal(b, out1.b), atest = false; end
      if ~isequal(ca, out2.a), atest = false; end
      if ~isequal(cb, out2.b), atest = false; end
      % Check the rebuilt object
      if ~eq(out1, mout1, ple2), atest = false; end
      if ~eq(out2, mout2, ple2), atest = false; end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_13

  %% UTP_14

  % <TestDescription>
  %
  % Check indirect the protected 'pzm2ab' method because tomiir uses this
  % method to get the a and b of the iir object.
  %
  % </TestDescription>
  function result = utp_14
    
    % <SyntaxDescription>
    %
    % Create some special pole/zero models to test the 'pzm2ab' method indirect
    % with the tomiir method. Test with real zeros.
    % This UTPs define a simple method to get the a-, and b-value from a
    % real zero. It uses the following code:
    function [a,b] = utp_rp2iir(zf, fs)
      w0 = zf*2*pi;
      a(1) = (2*fs + w0) / w0;
      a(2) = (-2*fs + w0) / w0;
      b(1) = 1;
      b(2) = 1;
    end
    % </SyntaxDescription>

    try
      % <SyntaxCode>    
      pzm1 = pzmodel(1, [], pz(1));
      pzm2 = pzmodel(1, [], [pz(1) pz(2)]);
      out1 = tomiir(pzm1);
      out2 = tomiir(pzm2);
      
      mout1 = rebuild(out1);
      mout2 = rebuild(out2);
      % </SyntaxCode>
      stest = true;
    catch err
      disp(err.message)
      stest = false;
    end

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

    atest = true;
    if stest
      % <AlgoCode>
      % Check the output class
      if ~isa(out1, 'miir'), atest = false; end
      if ~isa(out2, 'miir'), atest = false; end
      % Comput the a and b from a real zero
      [a,b] = utp_rp2iir(pzm1.zeros.f, 1);
      % Compute the cascade of the two different filters (necessary for pzm2):
      [a1,b1] = utp_rp2iir(pzm2.zeros(1).f, 1);
      [a2,b2] = utp_rp2iir(pzm2.zeros(2).f, 1);
      ca(1) = a1(1)*a2(1);
      ca(2) = a1(1)*a2(2) + a1(2)*a2(1);
      ca(3) =               a1(2)*a2(2);
      cb(1) = b1(1)*b2(1);
      cb(2) = b1(1)*b2(2) + b1(2)*b2(1);
      cb(3) =               b1(2)*b2(2);
      % Check a and b
      if ~isequal(a, out1.a), atest = false; end
      if ~isequal(b, out1.b), atest = false; end
      if ~isequal(ca, out2.a), atest = false; end
      if ~isequal(cb, out2.b), atest = false; end
      % Check the rebuilt object
      if ~eq(out1, mout1, ple2), atest = false; end
      if ~eq(out2, mout2, ple2), atest = false; end
      % </AlgoCode>
    else
      atest = false;
    end

    % Return a result structure
    result = utp_prepare_result(atest, stest, dbstack, mfilename);
  end % END UTP_14

end