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# pleg

## (Toolbox/pleg.m in BrainStorm 2.0 (Alpha))

### Function Synopsis

    [p0,p1]=pleg(x,nelec,nmax);

### Help Text

    PLEG - Used in CPOT, Legendre polynomials
     function [p0,p1]=pleg(x,nelec,nmax);

### Cross-Reference Information

This function is called by

    cpot                               C:\BrainStorm_2001\Toolbox\cpot.m

### Listing of function C:\BrainStorm_2001\Toolbox\pleg.m

    function [p0,p1]=pleg(x,nelec,nmax);
    %PLEG - Used in CPOT, Legendre polynomials
    % function [p0,p1]=pleg(x,nelec,nmax);

    %<autobegin> ---------------------- 26-May-2004 11:34:08 -----------------------
    % --------- Automatically Generated Comments Block Using AUTO_COMMENTS ---------
    %
    % CATEGORY: Archive
    %
    % At Check-in: $Author: Mosher $  $Revision: 15 $  $Date: 5/26/04 10:02a $
    %
    % This software is part of BrainStorm Toolbox Version 2.0 (Alpha) 24-May-2004
    %
    % Principal Investigators and Developers:
    % ** Richard M. Leahy, PhD, Signal & Image Processing Institute,
    %    University of Southern California, Los Angeles, CA
    % ** John C. Mosher, PhD, Biophysics Group,
    %    Los Alamos National Laboratory, Los Alamos, NM
    % ** Sylvain Baillet, PhD, Cognitive Neuroscience & Brain Imaging Laboratory,
    %    CNRS, Hopital de la Salpetriere, Paris, France
    %
    % See BrainStorm website at http://neuroimage.usc.edu for further information.
    %
    % Copyright (c) 2004 BrainStorm by the University of Southern California
    % This software distributed  under the terms of the GNU General Public License
    % as published by the Free Software Foundation. Further details on the GPL
    % license can be found at http://www.gnu.org/copyleft/gpl.html .
    %
    % FOR RESEARCH PURPOSES ONLY. THE SOFTWARE IS PROVIDED "AS IS," AND THE
    % UNIVERSITY OF SOUTHERN CALIFORNIA AND ITS COLLABORATORS DO NOT MAKE ANY
    % WARRANTY, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO WARRANTIES OF
    % MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, NOR DO THEY ASSUME ANY
    % LIABILITY OR RESPONSIBILITY FOR THE USE OF THIS SOFTWARE.
    %<autoend> ------------------------ 26-May-2004 11:34:08 -----------------------

    p0(1,:)=x;
    p1(1,:)=sqrt(1-x.*x);
    p0n=ones(1,nelec);
    p1n=zeros(1,nelec);
    for n=2:nmax
       pint=(2*(n-1)+1)*x.*p0(n-1,:)-(n-1)*p0n;
       p0n=p0(n-1,:);
       p0(n,:)=pint/n;
       pint=(2*(n-1)+1)*x.*p1(n-1,:)-n*p1n;
       p1n=p1(n-1,:);
       p1(n,:)=pint/(n-1);
    end

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