/usr/share/octave/packages/geometry-1.7.0/geom3d/drawCircle3d.m is in octave-geometry 1.7.0-1build1.
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## 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
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## 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} =} drawCircle3d (@var{circle2d}, @var{normal})
## @deftypefnx {Function File} {@var{h} =} drawCircle3d (@var{xc}, @var{yc}, @var{zc}, @var{r}, @var{theta}, @var{phi}, @var{psi})
## Draw a 3D circle
##
## Possible calls for the function:
## drawCircle3d([XC YC ZC R THETA PHI])
## drawCircle3d([XC YC ZC R], [THETA PHI])
##
## where XC, YC, ZY are coordinates of circle center, R is the circle
## radius, PHI and THETA are 3D angles in degrees of the normal to the
## plane containing the circle:
## * THETA between 0 and 180 degrees, corresponding to the colatitude
## (angle with Oz axis).
## * PHI between 0 and 360 degrees corresponding to the longitude (angle
## with Ox axis)
##
## drawCircle3d([XC YC ZC R THETA PHI PSI])
## drawCircle3d([XC YC ZC R], [THETA PHI PSI])
## drawCircle3d([XC YC ZC R], THETA, PHI)
## drawCircle3d([XC YC ZC], R, THETA, PHI)
## drawCircle3d([XC YC ZC R], THETA, PHI, PSI)
## drawCircle3d([XC YC ZC], R, THETA, PHI, PSI)
## drawCircle3d(XC, YC, ZC, R, THETA, PHI)
## drawCircle3d(XC, YC, ZC, R, THETA, PHI, PSI)
## Are other possible syntaxes for this function.
##
## H = drawCircle3d(...)
## return handle on the created LINE object
##
## Example
## @example
## # display 3 mutually orthogonal 3D circles
## figure; hold on;
## drawCircle3d([10 20 30 50 0 0], 'LineWidth', 2, 'Color', 'b');
## drawCircle3d([10 20 30 50 90 0], 'LineWidth', 2, 'Color', 'r');
## drawCircle3d([10 20 30 50 90 90], 'LineWidth', 2, 'Color', 'g');
## axis equal;
## axis([-50 100 -50 100 -50 100]);
## view([-10 20])
##
## # Draw several circles at once
## center = [10 20 30];
## circ1 = [center 50 0 0];
## circ2 = [center 50 90 0];
## circ3 = [center 50 90 90];
## figure; hold on;
## drawCircle3d([circ1 ; circ2 ; circ3]);
## axis equal;
## @end example
#
## @seealso{circles3d, drawCircleArc3d, drawEllipse3d, drawSphere}
## @end deftypefn
function varargout = drawCircle3d(varargin)
# Possible calls for the function, with number of arguments :
# drawCircle3d([XC YC ZC R THETA PHI]) 1
# drawCircle3d([XC YC ZC R THETA PHI PSI]) 1
# drawCircle3d([XC YC ZC R], [THETA PHI]) 2
# drawCircle3d([XC YC ZC R], [THETA PHI PSI]) 2
# drawCircle3d([XC YC ZC R], THETA, PHI) 3
# drawCircle3d([XC YC ZC], R, THETA, PHI) 4
# drawCircle3d([XC YC ZC R], THETA, PHI, PSI) 4
# drawCircle3d([XC YC ZC], R, THETA, PHI, PSI) 5
# drawCircle3d(XC, YC, ZC, R, THETA, PHI) 6
# drawCircle3d(XC, YC, ZC, R, THETA, PHI, PSI) 7
# extract drawing options
ind = find(cellfun(@ischar, varargin), 1, 'first');
options = {};
if ~isempty(ind)
options = varargin(ind:end);
varargin(ind:end) = [];
end
# Extract circle data
if length(varargin) == 1
# get center and radius
circle = varargin{1};
xc = circle(:,1);
yc = circle(:,2);
zc = circle(:,3);
r = circle(:,4);
# get colatitude of normal
if size(circle, 2) >= 5
theta = circle(:,5);
else
theta = zeros(size(circle, 1), 1);
end
# get azimut of normal
if size(circle, 2)>=6
phi = circle(:,6);
else
phi = zeros(size(circle, 1), 1);
end
# get roll
if size(circle, 2)==7
psi = circle(:,7);
else
psi = zeros(size(circle, 1), 1);
end
elseif length(varargin) == 2
# get center and radius
circle = varargin{1};
xc = circle(:,1);
yc = circle(:,2);
zc = circle(:,3);
r = circle(:,4);
# get angle of normal
angle = varargin{2};
theta = angle(:,1);
phi = angle(:,2);
# get roll
if size(angle, 2)==3
psi = angle(:,3);
else
psi = zeros(size(angle, 1), 1);
end
elseif length(varargin) == 3
# get center and radius
circle = varargin{1};
xc = circle(:,1);
yc = circle(:,2);
zc = circle(:,3);
r = circle(:,4);
# get angle of normal and roll
theta = varargin{2};
phi = varargin{3};
psi = zeros(size(phi, 1), 1);
elseif length(varargin) == 4
# get center and radius
circle = varargin{1};
xc = circle(:,1);
yc = circle(:,2);
zc = circle(:,3);
if size(circle, 2)==4
r = circle(:,4);
theta = varargin{2};
phi = varargin{3};
psi = varargin{4};
else
r = varargin{2};
theta = varargin{3};
phi = varargin{4};
psi = zeros(size(phi, 1), 1);
end
elseif length(varargin) == 5
# get center and radius
circle = varargin{1};
xc = circle(:,1);
yc = circle(:,2);
zc = circle(:,3);
r = varargin{2};
theta = varargin{3};
phi = varargin{4};
psi = varargin{5};
elseif length(varargin) == 6
xc = varargin{1};
yc = varargin{2};
zc = varargin{3};
r = varargin{4};
theta = varargin{5};
phi = varargin{6};
psi = zeros(size(phi, 1), 1);
elseif length(varargin) == 7
xc = varargin{1};
yc = varargin{2};
zc = varargin{3};
r = varargin{4};
theta = varargin{5};
phi = varargin{6};
psi = varargin{7};
else
error('drawCircle3d: please specify center and radius');
end
# circle parametrisation (by using N=60, some vertices are located at
# special angles like 45°, 30°...)
Nt = 60;
t = linspace(0, 2*pi, Nt+1);
nCircles = length(xc);
h = zeros(nCircles, 1);
for i = 1:nCircles
# compute position of circle points
x = r(i) * cos(t)';
y = r(i) * sin(t)';
z = zeros(length(t), 1);
circle0 = [x y z];
# compute transformation from local basis to world basis
trans = localToGlobal3d(xc(i), yc(i), zc(i), theta(i), phi(i), psi(i));
# compute points of transformed circle
circle = transformPoint3d(circle0, trans);
# draw the curve of circle points
h(i) = drawPolyline3d(circle, options{:});
end
if nargout > 0
varargout = {h};
end
endfunction
%!demo
%! # display 3 mutually orthogonal 3D circles
%! figure; hold on;
%! drawCircle3d([10 20 30 50 0 0], 'LineWidth', 2, 'Color', 'b');
%! drawCircle3d([10 20 30 50 90 0], 'LineWidth', 2, 'Color', 'r');
%! drawCircle3d([10 20 30 50 90 90], 'LineWidth', 2, 'Color', 'g');
%! axis square equal;
%! axis([-50 100 -50 100 -50 100]);
%! view([-10 20])
%!
%! # Draw several circles at once
%! center = [10 20 30];
%! circ1 = [center 50 0 0];
%! circ2 = [center 50 90 0];
%! circ3 = [center 50 90 90];
%! figure; hold on;
%! drawCircle3d([circ1 ; circ2 ; circ3]);
%! axis square equal;
|