% PVINFO   Query characteristics of a parameter vector
%
%   [TYP,K,NV] = PVINFO(PV) takes an uncertain parameter vector PV created 
%   with PVEC and returns
%   * the type TYP of parameter uncertainty:
%       - 'box' for parameters independently taking values in interval 
%       - 'pol' for parameters taking values in a multi-dimensional polytope
%   * the number of parameters K
%   * in the polytopic case, the number NV of vertices defining the
%     polytopic parameter range
%
%   Box case:
%   ---------
%   [PMIN,PMAX,DPMIN,DPMAX] = PVINFO(PV,'par',J) returns the lower and upper
%   bounds on the range and rate of variation of the J-th parameter
%
%   Polytope case:
%   --------------
%   Vj = PVINFO(PV,'par',J)  returns the J-th vertex of the polytopic 
%   parameter range
%
%   P = PVINFO(PV,'eval',COORD) returns the parameter vector value given a
%   set of polytopic coordinates.   If PV = [PV1,...,PVk]  and  
%   COORD = [c1,...,ck], the result is P = c1*PV1 + ... + ck*PVk
%
%   See also  PVEC, PSYS.

% Author: P. Gahinet  6/94
% Copyright 1995-2004 The MathWorks, Inc.
%       $Revision: 1.1.6.1 $

function [x,y,z,t]=pvinfo(pv,task,p)

if nargin<1,
   error('For correct syntaxes, type:   help pvinfo');
elseif ~any(pv(1,1)==[1 2])
   error('Unknown parameter vector type');
end


pvtype=pv(1,1);
k=pv(2,1);
nv=size(pv,2)-1;

if nargin==1,
  if nargout==0,
    if pvtype==1,
      disp(sprintf('Vector of %d parameters ranging in a box\n',k));
    else
      disp(sprintf('Vector of %d parameters ranging in a polytope with %d vertices\n',k,nv));

    end
  else
    if pvtype==1, x='box'; else x='pol'; end
    y=k; z=[];
    if pvtype==2, z=nv; end
  end

elseif strcmp(task,'par'),

  if pvtype==1,
    if nargin==2,
      x=pv(1:k,2:3); y=pv(1:k,4:5); z=[]; t=[];
    elseif p<0 | p>k,
      error(sprintf('J must be an integer between 1 and %d',k));
    else
      t=pv(p,2:5);
      x=t(1); y=t(2); z=t(3); t=t(4);
    end
  else
    l=size(pv,2)-1;
    if p<0 | p>l,
      error(sprintf('J must be an integer between 1 and %d',l));
    end
    x=pv(1:k,1+p);
    y=[]; z=[]; t=[];
  end

elseif strcmp(task,'eval'),
  np=length(p);
  if pvtype==1,
    error('Two input arguments maximum for the ''box'' type');
  elseif np~=nv,
    error(sprintf('COORD must be of length %d',nv))
  elseif min(p) < 0 | sum(p) == 0,
    error('The polytopic coordinates COORD must be nonnegative');
  end
  p=p/sum(p);
  x=pv(1:k,2:nv+1)*p(:);
  y=[]; z=[]; t=[];

end