1 %% Copyright (c) 2011, INRA
2 %% 2006-2011, David Legland <david.legland@grignon.inra.fr>
3 %% 2011 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
5 %% All rights reserved.
6 %% (simplified BSD License)
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9 %% modification, are permitted provided that the following conditions are met:
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15 %% this list of conditions and the following disclaimer in the documentation
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35 %% @deftypefn {Function File} {@var{h} = } drawParabola (@var{parabola})
36 %% @deftypefnx {Function File} {@var{h} = } drawParabola (@var{parabola}, @var{t})
37 %% @deftypefnx {Function File} {@var{h} = } drawParabola (@dots{}, @var{param}, @var{value})
38 %% Draw a parabola on the current axis.
40 %% drawParabola(PARABOLA);
41 %% Draws a vertical parabola, defined by its vertex and its parameter.
42 %% Such a parabola admits a vertical axis of symetry.
44 %% The algebraic equation of parabola is given by:
45 %% (Y - YV) = A * (X - VX)^2
46 %% Where XV and YV are vertex coordinates and A is parabola parameter.
48 %% A parametric equation of parabola is given by:
50 %% y(t) = A * t^2 + VY;
52 %% PARABOLA can also be defined by [XV YV A THETA], with theta being the
53 %% angle of rotation of the parabola (in degrees and Counter-Clockwise).
55 %% drawParabola(PARABOLA, T);
56 %% Specifies which range of 't' are used for drawing parabola. If T is an
57 %% array with only two values, the first and the last values are used as
58 %% interval bounds, and several values are distributed within this
61 %% drawParabola(..., NAME, VALUE);
62 %% Can specify one or several graphical options using parameter name-value
65 %% H = drawParabola(...);
66 %% Returns an handle to the created graphical object.
71 %% figure(1); clf; hold on;
72 %% drawParabola([50 50 .2 30]);
73 %% drawParabola([50 50 .2 30], [-1 1], 'color', 'r', 'linewidth', 2);
77 %% @seealso{drawCircle, drawEllipse}
80 function varargout = drawParabola(varargin)
84 error('geom2d:IllegalArgument', ...
85 'Please specify parabola representation');
88 % input parabola is given as a packed array
89 parabola = varargin{1};
95 if size(parabola, 2)>3
96 theta = parabola(:, 4);
98 theta = zeros(length(a), 1);
101 % extract parametrisation bounds
103 if ~isempty(varargin)
111 % create parametrisation
115 t = linspace(bounds(1), bounds(end), 100);
118 % create handle array (in the case of several parabola)
123 % compute transformation
125 createTranslation(x0(i), y0(i)) * ...
126 createRotation(deg2rad(theta(i))) * ...
129 % compute points on the parabola
130 [xt yt] = transformPoint(t(:), t(:).^2, trans);
133 h(i) = plot(xt, yt, varargin{:});
136 % process output arguments