/usr/share/octave/packages/geometry-1.7.0/geom2d/drawEllipseArc.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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 | ## 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,
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## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{h} = } drawEllipseArc (@var{arc})
## Draw an ellipse arc on the current axis.
##
## drawEllipseArc(ARC)
## draw ellipse arc specified by ARC. ARC has the format:
## ARC = [XC YC A B THETA T1 T2]
## or:
## ARC = [XC YC A B T1 T2] (isothetic ellipse)
## with center (XC, YC), main axis of half-length A, second axis of
## half-length B, and ellipse arc running from t1 to t2 (both in degrees,
## in Counter-Clockwise orientation).
##
## Parameters can also be arrays. In this case, all arrays are suposed to
## have the same size...
##
## @example
## # draw an ellipse arc: center = [10 20], radii = 50 and 30, theta = 45
## arc = [10 20 50 30 45 -90 270];
## figure;
## axis([-50 100 -50 100]); axis equal;
## hold on
## drawEllipseArc(arc, 'color', 'r')
##
## # draw another ellipse arc, between angles -60 and 70
## arc = [10 20 50 30 45 -60 (60+70)];
## figure;
## axis([-50 100 -50 100]); axis equal;
## hold on
## drawEllipseArc(arc, 'LineWidth', 2);
## ray1 = createRay([10 20], deg2rad(-60+45));
## drawRay(ray1)
## ray2 = createRay([10 20], deg2rad(70+45));
## drawRay(ray2)
## @end example
##
## @seealso{ellipses2d, drawEllipse, drawCircleArc}
## @end deftypefn
function varargout = drawEllipseArc(varargin)
## Extract input arguments
# extract dawing style strings
styles = {};
for i = 1:length(varargin)
if ischar(varargin{i})
styles = varargin(i:end);
varargin(i:end) = [];
break;
end
end
if length(varargin)==1
ellipse = varargin{1};
x0 = ellipse(1);
y0 = ellipse(2);
a = ellipse(3);
b = ellipse(4);
if size(ellipse, 2)>6
theta = ellipse(5);
start = ellipse(6);
extent = ellipse(7);
else
theta = zeros(size(x0));
start = ellipse(5);
extent = ellipse(6);
end
elseif length(varargin)>=6
x0 = varargin{1};
y0 = varargin{2};
a = varargin{3};
b = varargin{4};
if length(varargin)>6
theta = varargin{5};
start = varargin{6};
extent = varargin{7};
else
theta = zeros(size(x0));
start = varargin{5};
extent = varargin{6};
end
else
error('drawellipse: please specify center x, center y and radii a and b');
end
## Drawing
# allocate memory for handles
h = zeros(size(x0));
for i = 1:length(x0)
# start and end angles
t1 = deg2rad(start);
t2 = t1 + deg2rad(extent);
# vertices of ellipse
t = linspace(t1, t2, 60);
# convert angles to ellipse parametrisation
sup = cos(t) > 0;
t(sup) = atan(a(i) / b(i) * tan(t(sup)));
t(~sup) = atan2(a(i) / b(i) * tan(2*pi - t(~sup)), -1);
t = mod(t, 2*pi);
# precompute cos and sin of theta (given in degrees)
cot = cosd(theta(i));
sit = sind(theta(i));
# compute position of points
xt = x0(i) + a(i)*cos(t)*cot - b(i)*sin(t)*sit;
yt = y0(i) + a(i)*cos(t)*sit + b(i)*sin(t)*cot;
h(i) = plot(xt, yt, styles{:});
end
## Process output arguments
if nargout > 0
varargout = {h};
end
endfunction
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