ELLIPSEPLOT is the jEllipse module of jLab.

 ELLIPSEPLOT  Plot ellipses.
 
    ELLIPSEPLOT(K,L,TH,Z) plots an ellipse of amplitude K, linearity L, and
    orientation TH at complex-valued location Z=X+iY.
 
    K, L, and TH are shorthand for the symbols KAPPA, LAMBDA, and THETA.
    K and L are related to the semi-axes A and B by K=SQRT((A^2+B^2)/2)
    and L=(A^2-B^2)/(A^2+B^2).  See Lilly and Gascard (2006) for details. 
 
    Multiple ellipses are plotted if K, L, TH, and Z, are arrays of the
    same size.
 
    ELLIPSEPLOT draws each column of the input arrays with a different 
    color, cycling through the default line colors.
 
    H=ELLIPSEPLOT(...) outputs an array of line handles.
 
    ELLIPSEPLOT calls ELLCURVES to actually compute the elliptical curves. 
    ______________________________________________________________________
 
    Aspect ratio
 
    ELLIPSEPLOT(...,AR) with AR=[XAR YAR] multiplies the X-signal and
    Y-signal by XAR and YAR, respectively, for plotting purposes. The
    aspect ratio is set such that circles appear circular.
 
    It's okay for AR to have three entries, AR=[XAR YAR ZAR], as is
    output by "get(gca,'dataaspectratio')".  The last entry is ignored.
 
    AR is optional and defaults to [1 1]. 
 
    The following trailing options can occur in any order, as long as 
    they are after K, L, TH, Z, and (if present) AR.
    ______________________________________________________________________
 
    Skipping ellipses
 
    Frequently one does not wish to plot all the ellipses.  There are two
    ways to accomplish this, as documented in this and the next section.
 
    K, L, TH, and Z are column vectors, plot every SKIP-th ellipse with
 
          ELLIPSEPLOT(K,L,TH,Z, ... ,'skip',SKIP).
 
    This plots ellipses at indicies [SKIP:SKIP:LENGTH(K)-SKIP].
 
    More generally, if the input field are matrices of the same size, each
    having N dimensions, then SKIP can be an array with N elements.  Then
    SKIP(1) indicates the SKIP number for the first matrix dimension, etc.
    ______________________________________________________________________
 
    Indexing ellipses
    
    To have more precise control over which ellipses are plotted, use
    
           ELLIPSEPLOT(K,L,TH,Z, ... ,'index',INDEX) 
 
    which only plots the ellipses at the indicies indicated by INDEX. If
    INDEX is empty, nothing happens.  
 
    When K, L, TH, and Z are column vectors, INDEX is an array.  
  
    More generally, INDEX can be a cell array of N arrays, one for each 
    dimension of the input matrices.
 
    See PERIODINDEX for generating an index that skips every N periods.
    ______________________________________________________________________
 
    Specifying linestyles
 
    ELLIPSEPLOT(K,L,TH,Z, ... ,STY) where STY is a single style string in 
    LINESTYLE format, or a cell array of such strings, determines the line
    styles for the ellipses.
 
    With cell array input, the entries of STY is applied to the elements in
    the cell arrays K{1}, K{2}, etc.  Otherwise, the entries in STY are 
    applied to the multiple columns (if any) of the arrays K, L, TH and Z.
 
    By default, the default line styles are used, so corresponding to 
    STY{1}='T'; STY{2}='U'; STY{3}='V'; and so forth.  These are the names
    given to the (new) default Matlab colors by LINESTYLE.
 
    For example, STY{1}='2b--'; STY{2}='r-.'; will alternate between thick
    blue dashed lines and thin red dash-dotted lines.
 
    See LINESTYLE for more details. 
    ______________________________________________________________________
  
    Additional options
 
    ELLIPSEPLOT(K,L,TH,Z, ... ,'m_map') will work with Rich Pawlowicz's 
    M_MAP package. In this case Z should be of the form LON+SQRT(-1)*LAT,
    or a cell array of numeric arrays having this form.
 
    ELLIPSEPLOT(K,L,TH,Z, ... ,'phase',PHI) optionally draws a small line, 
    like a clock hand, to indicate the ellipse phase PHI.
 
    ELLIPSEPLOT(K,L,TH,Z, ... ,'npoints',N) plots ellipses with N points
    along the circumference.  The default value is 32.  Use N=16 or 64 
    for faster plotting or for smoother, more well-defined ellipses.
 
    ELLIPSEPLOT(K,L,TH,Z, ... ,'scale',S) sets the ellipse scale for a 
    plot in which Z is of the form LON+SQRT(-1)*LAT.  Here K should be
    in units kilometers, and the resulting ellipses will be plotted at S
    times their actual size, with S=1 corresponding to actual size.
 
    [H,INDEX]=ELLIPSEPLOT(K,L,TH,Z,...) also returns the index INDEX into
    the ellipse locations that were actually mapped.  This is particularly 
    useful with the 'skip' input argument, and allows the handles H to 
    be manipulated later, for example, to set color based on K values.
    ______________________________________________________________________
 
    Cell array input 
 
    ELLIPSEPLOT also works if the input arguments are cell arrays. 
 
    Specifically, if K, L, TH, and Z are all cell arrays of N different 
    numerical arrays, then ELLIPSEPLOT will act on each of them in turn.
 
    In this case SIZE(K{M}), SIZE(L{M}), SIZE(TH{M}), and SIZE(Z{M}) must 
    all be identical for M=1,2,... N.
    ______________________________________________________________________
 
    See also PERIODINDEX, LINECOLOR, ELLCURVES.
 
    'ellipseplot --f' makes some test figures.
 
    Usage: ellipseplot(k,l,th,z)
           ellipseplot(k,l,th,z,ar)
           ellipseplot(k,l,th,z,'axis')
           ellipseplot(k,l,th,z,ar,'phase',phi)
           ellipseplot(k,l,th,z,ar,'npoints',64)
           ellipseplot(k,l,th,z,ar,'index',index)
           ellipseplot(k,l,th,z,ar,'skip',5)
           ellipseplot(k,l,th,z,'2r--')
    ______________________________________________________________
    This is part of JLAB --- type 'help jlab' for more information
    (C) 2004--2016 J.M. Lilly --- type 'help jlab_license' for details        

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