function dist = line_par_point_dist_2d ( f, g, x0, y0, p )

%*****************************************************************************80
%
%% line_par_point_dist_2d(): distance ( parametric line, point ) in 2D.
%
%  Discussion:
%
%    The parametric form of a line in 2D is:
%
%      X = X0 + F * T
%      Y = Y0 + G * T
%
%    We normalize by choosing F*F+G*G=1 and 0 <= F.
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    20 February 2005
%
%  Author:
%
%    John Burkardt
%
%  Reference:
%
%    Adrian Bowyer and John Woodwark,
%    A Programmer's Geometry,
%    Butterworths, 1983.
%
%  Input:
%
%    real F, G, X0, Y0, the parametric line parameters.
%
%    real P(2,1), the point whose distance from the line is
%    to be measured.
%
%  Output:
%
%    real DIST, the distance from the point to the line.
%
  dx =   g * g * ( p(1,1) - x0 ) - f * g * ( p(2,1) - y0 );
  dy = - f * g * ( p(1,1) - x0 ) + f * f * ( p(2,1) - y0 );

  dist = sqrt ( dx * dx + dy * dy ) / ( f * f + g * g );

  return
end
