function  [X,Y,vals,labI]=mp_cyl(optn,varargin)
% MP_CYL   Cylindrical projections
%           This function should not be used directly; instead it is
%           is accessed by various high-level functions named M_*.


% Rich Pawlowicz (rich@ocgy.ubc.ca) 2/Apr/1997
%
% This software is provided "as is" without warranty of any kind. But
% it's mine, so you can't sell it.
%
% 21/5/97 - allow unequal lat limits for mercator and miler projections
%           (to match with user's guide).
%
% Mathematical formulas for the projections and thie inverses are taken from
%
%      Snyder, John P., Map Projections used by the US Geological Survey, 
%      Geol. Surv. Bull. 1532, 2nd Edition, USGPO, Washington D.C., 1983.
%
% These are cylindrical projections wrapped around the equator
% Mercator - conformal
% Miller - "looks" nice.
% Equidistant - basically plotting by lat/long, with distances stretched.



global MAP_PROJECTION MAP_VAR_LIST

name={'Mercator','Miller Cylindrical','Equidistant Cylindrical'};

pi180=pi/180;


switch optn,

  case 'name',

     X=name;

  case {'usage','set'}

     X=char({['     ''' varargin{1} ''''],...
              '     <,''lon<gitude>'',( [min max] | center)>',...
              '     <,''lat<itude>'',( maxlat | [min max]>'});

  case 'get',

     X=char([' Projection: ' MAP_PROJECTION.name '  (function: ' MAP_PROJECTION.routine ')'],...
            [' longitudes: ' num2str(MAP_VAR_LIST.ulongs) ],...
            [' Latitudes: ' num2str(MAP_VAR_LIST.ulats) ]); 

  case 'initialize',

    MAP_VAR_LIST=[];
    MAP_PROJECTION.name=varargin{1};
    MAP_VAR_LIST.ulongs=[-180 180];
    MAP_VAR_LIST.ulats=[-85 85];
    MAP_VAR_LIST.clong=0;
    MAP_VAR_LIST.rectbox='off'; %always...(this is because we actually want lat/long grids
                                % to include the edges; this is turned off in rectboxes).
    k=2;
    while k<length(varargin),
      switch varargin{k}(1:3),
         case 'lon',
           if length(varargin{k+1})>1,
             MAP_VAR_LIST.ulongs=varargin{k+1};
             MAP_VAR_LIST.clong=mean(MAP_VAR_LIST.ulongs);
           else
             MAP_VAR_LIST.clong=varargin{k+1};
             MAP_VAR_LIST.ulongs=MAP_VAR_LIST.clong+[-180 180];
           end;
         case 'lat',
           MAP_VAR_LIST.ulats=varargin{k+1};
         otherwise
           disp(['Unknown option: ' varargin{k}]);
       end;
       k=k+2;
     end;
   
     if length(MAP_VAR_LIST.ulats)==1,
       MAP_VAR_LIST.ulats=[-1 1]*abs(MAP_VAR_LIST.ulats(1));
     end;

     mu_util('xylimits');

  case 'll2xy',


    long=varargin{1};
    lat=varargin{2};
    vals=zeros(size(long));

    % Clip out-of-range values
    
    if ~strcmp(varargin{4},'off'),
        vals=vals | long<=MAP_VAR_LIST.longs(1)+eps*10 | long>=MAP_VAR_LIST.longs(2)-eps*10 | ...
	              lat<=MAP_VAR_LIST.lats(1)+eps*10 |   lat>=MAP_VAR_LIST.lats(2)-eps*10;
        [long,lat]=mu_util('clip',varargin{4},long,MAP_VAR_LIST.longs(1),long<MAP_VAR_LIST.longs(1),lat);
        [long,lat]=mu_util('clip',varargin{4},long,MAP_VAR_LIST.longs(2),long>MAP_VAR_LIST.longs(2),lat);
        [lat,long]=mu_util('clip',varargin{4},lat,MAP_VAR_LIST.lats(1),lat<MAP_VAR_LIST.lats(1),long);
        [lat,long]=mu_util('clip',varargin{4},lat,MAP_VAR_LIST.lats(2),lat>MAP_VAR_LIST.lats(2),long);
    end;

    X=(long-MAP_VAR_LIST.clong)*pi180;

    switch MAP_PROJECTION.name
      case name(1),
        Y=atanh(sin(lat*pi180));
      case name(2),
        Y=atanh(sin(lat*pi180*0.8))/0.8;
      case name(3),
        Y=lat*pi180/cos(mean(MAP_VAR_LIST.lats)*pi180);
    end;

  case 'xy2ll',
    
    X=varargin{1}/pi180+mean(MAP_VAR_LIST.longs);

    switch MAP_PROJECTION.name
      case name(1),
        Y=90-2/pi180*atan(exp(-varargin{2}));
      case name(2),
        Y=(2/pi180*atan(exp(varargin{2}*0.8))-90)/0.8;
      case name(3),
        Y=varargin{2}*cos(mean(MAP_VAR_LIST.lats)*pi180)/pi180;
    end;
        
  case 'xgrid',

    [X,Y,vals,labI]=mu_util('xgrid',MAP_VAR_LIST.longs,MAP_VAR_LIST.lats,varargin{1},3,varargin{2:3});

  case 'ygrid',
   
    [X,Y,vals,labI]=mu_util('ygrid',MAP_VAR_LIST.lats,MAP_VAR_LIST.longs,varargin{1},3,varargin{2:3});

  case 'box',

    [X,Y]=mu_util('box',2);

end;