# Plots a cantilever beam as a 3D figure.

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    % This is a helper function for the optimal cantilever beam example.
    %
    % Inputs:
    %    values: an array of heights and widths of each segment
    %            [h1 h2 ... hN w1 w2 ... wN]
    %
    % Almir Mutapcic 01/25/06

    function cantilever_beam_plot(values)

    N = length(values)/2;
    for k = 0:N-1
      [X Y Z] = data_rect3(values(2*N-k),values(N-k),k);
      plot3(X,Y,Z); hold on;
    end
    hold off;

    xlabel('width')
    ylabel('height')
    zlabel('length')
    return;

    %****************************************************************
    function [X, Y, Z] = data_rect3(w,h,d)
    %****************************************************************
    % back face
    X = [-w/2 w/2 w/2 -w/2 -w/2];
    Y = [-h/2 -h/2 h/2 h/2 -h/2];
    Z = [d d d d d];
    % side face
    X = [X -w/2 -w/2 -w/2 -w/2 -w/2];
    Y = [Y -h/2 -h/2 h/2 h/2 -h/2];
    Z = [Z d d+1 d+1 d d];
    % front face
    X = [X -w/2 w/2 w/2 -w/2 -w/2];
    Y = [Y -h/2 -h/2 h/2 h/2 -h/2];
    Z = [Z d+1 d+1 d+1 d+1 d+1];
    % back side face
    X = [X w/2 w/2 w/2 w/2 w/2];
    Y = [Y -h/2 h/2 h/2 -h/2 -h/2];
    Z = [Z d+1 d+1 d d d+1];