function [ x, w ] = rule03 ( n )

%*****************************************************************************80
%
%% rule03() returns the rule of degree 3.
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    07 July 2014
%
%  Author:
%
%    Original FORTRAN77 version by Hong Xiao, Zydrunas Gimbutas.
%    This version by John Burkardt.
%
%  Reference:
%
%    Hong Xiao, Zydrunas Gimbutas,
%    A numerical algorithm for the construction of efficient quadrature
%    rules in two and higher dimensions,
%    Computers and Mathematics with Applications,
%    Volume 59, 2010, pages 663-676.
%
%  Input:
%
%    integer N, the number of nodes.
%
%  Output:
%
%    real X(2,N), the coordinates of the nodes.
%
%    real W(N), the weights.
%
  xs = [ ...
    -0.5773502691896256,  0.5773502691896260, ...
     0.5773502691896256, -0.5773502691896260 ];
  ys = [ ...
    -0.5773502691896260, -0.5773502691896256, ...
     0.5773502691896260,  0.5773502691896256 ];
  ws = [ ...
    0.7071067811865476, 0.7071067811865476, ...
    0.7071067811865476, 0.7071067811865476 ];

  x(1,1:n) = xs(1:n);
  x(2,1:n) = ys(1:n);
  w(1:n) = ws(1:n);

  return
end
