/usr/share/octave/packages/geometry-1.7.0/geom2d/drawParabola.m is in octave-geometry 1.7.0-1build1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 | ## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
## documentation and/or other materials provided with the distribution.
##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{h} = } drawParabola (@var{parabola})
## @deftypefnx {Function File} {@var{h} = } drawParabola (@var{parabola}, @var{t})
## @deftypefnx {Function File} {@var{h} = } drawParabola (@dots{}, @var{param}, @var{value})
## Draw a parabola on the current axis.
##
## drawParabola(PARABOLA);
## Draws a vertical parabola, defined by its vertex and its parameter.
## Such a parabola admits a vertical axis of symetry.
##
## The algebraic equation of parabola is given by:
## (Y - YV) = A * (X - VX)^2
## Where XV and YV are vertex coordinates and A is parabola parameter.
##
## A parametric equation of parabola is given by:
## x(t) = t + VX;
## y(t) = A * t^2 + VY;
##
## PARABOLA can also be defined by [XV YV A THETA], with theta being the
## angle of rotation of the parabola (in degrees and Counter-Clockwise).
##
## drawParabola(PARABOLA, T);
## Specifies which range of 't' are used for drawing parabola. If T is an
## array with only two values, the first and the last values are used as
## interval bounds, and several values are distributed within this
## interval.
##
## drawParabola(..., NAME, VALUE);
## Can specify one or several graphical options using parameter name-value
## pairs.
##
## H = drawParabola(...);
## Returns an handle to the created graphical object.
##
##
## Example:
## @example
## figure(1); clf; hold on;
## drawParabola([50 50 .2 30]);
## drawParabola([50 50 .2 30], [-1 1], 'color', 'r', 'linewidth', 2);
## axis equal;
## @end example
##
## @seealso{drawCircle, drawEllipse}
## @end deftypefn
function varargout = drawParabola(varargin)
# Extract parabola
if nargin<1
error('geom2d:IllegalArgument', ...
'Please specify parabola representation');
end
# input parabola is given as a packed array
parabola = varargin{1};
varargin(1) = [];
x0 = parabola(:,1);
y0 = parabola(:,2);
a = parabola(:,3);
if size(parabola, 2)>3
theta = parabola(:, 4);
else
theta = zeros(length(a), 1);
end
# extract parametrisation bounds
bounds = [-100 100];
if ~isempty(varargin)
var = varargin{1};
if isnumeric(var)
bounds = var;
varargin(1) = [];
end
end
# create parametrisation
if length(bounds)>2
t = bounds;
else
t = linspace(bounds(1), bounds(end), 100);
end
# create handle array (in the case of several parabola)
h = zeros(size(x0));
# draw each parabola
for i=1:length(x0)
# compute transformation
trans = ...
createTranslation(x0(i), y0(i)) * ...
createRotation(deg2rad(theta(i))) * ...
createScaling(1, a);
# compute points on the parabola
[xt yt] = transformPoint(t(:), t(:).^2, trans);
# draw it
h(i) = plot(xt, yt, varargin{:});
end
# process output arguments
if nargout>0
varargout{1}=h;
end
endfunction
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