/usr/share/octave/packages/nurbs-1.3.13/nrbplot.m is in octave-nurbs 1.3.13-4.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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%
% NRBPLOT: Plot a NURBS curve or surface, or the boundary of a NURBS volume.
%
% Calling Sequence:
%
% nrbplot (nrb, subd)
% nrbplot (nrb, subd, p, v)
%
% INPUT:
%
% nrb : NURBS curve, surface or volume, see nrbmak.
%
% npnts : Number of evaluation points, for a surface or volume, a row
% vector with the number of points along each direction.
%
% [p,v] : property/value options
%
% Valid property/value pairs include:
%
% Property Value/{Default}
% -----------------------------------
% light {off} | on
% colormap {'copper'}
%
% Example:
%
% Plot the test surface with 20 points along the U direction
% and 30 along the V direction
%
% nrbplot(nrbtestsrf, [20 30])
%
% Copyright (C) 2000 Mark Spink
% Copyright (C) 2010 Carlo de Falco, Rafael Vazquez
% Copyright (C) 2012 Rafael Vazquez
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program. If not, see <http://www.gnu.org/licenses/>.
nargs = nargin;
if nargs < 2
error ('Need a NURBS to plot and the number of subdivisions!');
elseif rem(nargs+2,2)
error ('Param value pairs expected')
end
% Default values
light='off';
cmap='summer';
% Recover Param/Value pairs from argument list
for i=1:2:nargs-2
Param = varargin{i};
Value = varargin{i+1};
if (~ischar (Param))
error ('Parameter must be a string')
elseif size(Param,1)~=1
error ('Parameter must be a non-empty single row string.')
end
switch lower (Param)
case 'light'
light = lower (Value);
if (~ischar (light))
error ('light must be a string.')
elseif ~(strcmp(light,'off') | strcmp(light,'on'))
error ('light must be off | on')
end
case 'colormap'
if ischar (Value)
cmap = lower(Value);
elseif size (Value, 2) ~= 3
error ('colormap must be a string or have exactly three columns.')
else
cmap=Value;
end
otherwise
error ('Unknown parameter: %s', Param)
end
end
colormap (cmap);
% convert the number of subdivisions in number of points
subd = subd+1;
% plot the curve or surface
if (iscell (nurbs.knots))
if (size (nurbs.knots,2) == 2) % plot a NURBS surface
knt = nurbs.knots;
order = nurbs.order;
p = nrbeval (nurbs, {linspace(knt{1}(order(1)),knt{1}(end-order(1)+1),subd(1)) ...
linspace(knt{2}(order(2)),knt{2}(end-order(2)+1),subd(2))});
if (strcmp (light,'on'))
% light surface
surfl (squeeze(p(1,:,:)), squeeze(p(2,:,:)), squeeze(p(3,:,:)));
shading interp;
else
surf (squeeze (p(1,:,:)), squeeze (p(2,:,:)), squeeze (p(3,:,:)));
shading faceted;
end
elseif (size (nurbs.knots,2) == 3) % plot the boundaries of a NURBS volume
bnd = nrbextract (nurbs);
hold_flag = ishold;
nrbplot (bnd(1), subd(2:3), varargin{:});
hold on
nrbplot (bnd(2), subd(2:3), varargin{:});
nrbplot (bnd(3), subd([1 3]), varargin{:});
nrbplot (bnd(4), subd([1 3]), varargin{:});
nrbplot (bnd(5), subd(1:2), varargin{:});
nrbplot (bnd(6), subd(1:2), varargin{:});
if (~hold_flag)
hold off
end
else
error ('nrbplot: some argument is not correct')
end
else
% plot a NURBS curve
order = nurbs.order;
p = nrbeval (nurbs, linspace (nurbs.knots(order), nurbs.knots(end-order+1), subd));
if (any (nurbs.coefs(3,:)))
% 3D curve
plot3 (p(1,:), p(2,:), p(3,:));
grid on;
else
% 2D curve
plot (p(1,:), p(2,:));
end
end
axis equal;
end
% plot the control surface
% hold on;
% mesh(squeeze(pnts(1,:,:)),squeeze(pnts(2,:,:)),squeeze(pnts(3,:,:)));
% hold off;
%!demo
%! crv = nrbtestcrv;
%! nrbplot(crv,100)
%! title('Test curve')
%! hold off
%!demo
%! coefs = [0.0 7.5 15.0 25.0 35.0 30.0 27.5 30.0;
%! 0.0 2.5 0.0 -5.0 5.0 15.0 22.5 30.0];
%! knots = [0.0 0.0 0.0 1/6 1/3 1/2 2/3 5/6 1.0 1.0 1.0];
%!
%! geom = [
%! nrbmak(coefs,knots)
%! nrbline([30.0 30.0],[20.0 30.0])
%! nrbline([20.0 30.0],[20.0 20.0])
%! nrbcirc(10.0,[10.0 20.0],1.5*pi,0.0)
%! nrbline([10.0 10.0],[0.0 10.0])
%! nrbline([0.0 10.0],[0.0 0.0])
%! nrbcirc(5.0,[22.5 7.5])
%! ];
%!
%! ng = length(geom);
%! for i = 1:ng
%! nrbplot(geom(i),500);
%! hold on;
%! end
%! hold off;
%! axis equal;
%! title('2D Geometry formed by a series of NURBS curves');
%!demo
%! sphere = nrbrevolve(nrbcirc(1,[],0.0,pi),[0.0 0.0 0.0],[1.0 0.0 0.0]);
%! nrbplot(sphere,[40 40],'light','on');
%! title('Ball and torus - surface construction by revolution');
%! hold on;
%! torus = nrbrevolve(nrbcirc(0.2,[0.9 1.0]),[0.0 0.0 0.0],[1.0 0.0 0.0]);
%! nrbplot(torus,[40 40],'light','on');
%! hold off
%!demo
%! knots = {[0 0 0 1/2 1 1 1] [0 0 0 1 1 1]...
%! [0 0 0 1/6 2/6 1/2 1/2 4/6 5/6 1 1 1]};
%!
%! coefs = [-1.0000 -0.9734 -0.7071 1.4290 1.0000 3.4172
%! 0 2.4172 0 0.0148 -2.0000 -1.9734
%! 0 2.0000 4.9623 9.4508 4.0000 2.0000
%! 1.0000 1.0000 0.7071 1.0000 1.0000 1.0000
%! -0.8536 0 -0.6036 1.9571 1.2071 3.5000
%! 0.3536 2.5000 0.2500 0.5429 -1.7071 -1.0000
%! 0 2.0000 4.4900 8.5444 3.4142 2.0000
%! 0.8536 1.0000 0.6036 1.0000 0.8536 1.0000
%! -0.3536 -4.0000 -0.2500 -1.2929 1.7071 1.0000
%! 0.8536 0 0.6036 -2.7071 -1.2071 -5.0000
%! 0 2.0000 4.4900 10.0711 3.4142 2.0000
%! 0.8536 1.0000 0.6036 1.0000 0.8536 1.0000
%! 0 -4.0000 0 0.7071 2.0000 5.0000
%! 1.0000 4.0000 0.7071 -0.7071 -1.0000 -5.0000
%! 0 2.0000 4.9623 14.4142 4.0000 2.0000
%! 1.0000 1.0000 0.7071 1.0000 1.0000 1.0000
%! -2.5000 -4.0000 -1.7678 0.7071 1.0000 5.0000
%! 0 4.0000 0 -0.7071 -3.5000 -5.0000
%! 0 2.0000 6.0418 14.4142 4.0000 2.0000
%! 1.0000 1.0000 0.7071 1.0000 1.0000 1.0000
%! -2.4379 0 -1.7238 2.7071 1.9527 5.0000
%! 0.9527 4.0000 0.6737 1.2929 -3.4379 -1.0000
%! 0 2.0000 6.6827 10.0711 4.0000 2.0000
%! 1.0000 1.0000 0.7071 1.0000 1.0000 1.0000
%! -0.9734 -1.0000 -0.6883 0.7071 3.4172 1.0000
%! 2.4172 0 1.7092 -1.4142 -1.9734 -2.0000
%! 0 4.0000 6.6827 4.9623 4.0000 0
%! 1.0000 1.0000 0.7071 0.7071 1.0000 1.0000
%! 0 -0.8536 0 0.8536 3.5000 1.2071
%! 2.5000 0.3536 1.7678 -1.2071 -1.0000 -1.7071
%! 0 3.4142 6.0418 4.4900 4.0000 0
%! 1.0000 0.8536 0.7071 0.6036 1.0000 0.8536
%! -4.0000 -0.3536 -2.8284 1.2071 1.0000 1.7071
%! 0 0.8536 0 -0.8536 -5.0000 -1.2071
%! 0 3.4142 7.1213 4.4900 4.0000 0
%! 1.0000 0.8536 0.7071 0.6036 1.0000 0.8536
%! -4.0000 0 -2.8284 1.4142 5.0000 2.0000
%! 4.0000 1.0000 2.8284 -0.7071 -5.0000 -1.0000
%! 0 4.0000 10.1924 4.9623 4.0000 0
%! 1.0000 1.0000 0.7071 0.7071 1.0000 1.0000
%! -4.0000 -2.5000 -2.8284 0.7071 5.0000 1.0000
%! 4.0000 0 2.8284 -2.4749 -5.0000 -3.5000
%! 0 4.0000 10.1924 6.0418 4.0000 0
%! 1.0000 1.0000 0.7071 0.7071 1.0000 1.0000
%! 0 -2.4379 0 1.3808 5.0000 1.9527
%! 4.0000 0.9527 2.8284 -2.4309 -1.0000 -3.4379
%! 0 4.0000 7.1213 6.6827 4.0000 0
%! 1.0000 1.0000 0.7071 0.7071 1.0000 1.0000
%! -1.0000 -0.9734 0.2071 2.4163 1.0000 3.4172
%! 0 2.4172 -1.2071 -1.3954 -2.0000 -1.9734
%! 2.0000 4.0000 7.0178 6.6827 2.0000 0
%! 1.0000 1.0000 1.0000 0.7071 1.0000 1.0000
%! -0.8536 0 0.3536 2.4749 1.2071 3.5000
%! 0.3536 2.5000 -0.8536 -0.7071 -1.7071 -1.0000
%! 1.7071 4.0000 6.3498 6.0418 1.7071 0
%! 0.8536 1.0000 0.8536 0.7071 0.8536 1.0000
%! -0.3536 -4.0000 0.8536 0.7071 1.7071 1.0000
%! 0.8536 0 -0.3536 -3.5355 -1.2071 -5.0000
%! 1.7071 4.0000 6.3498 7.1213 1.7071 0
%! 0.8536 1.0000 0.8536 0.7071 0.8536 1.0000
%! 0 -4.0000 1.2071 3.5355 2.0000 5.0000
%! 1.0000 4.0000 -0.2071 -3.5355 -1.0000 -5.0000
%! 2.0000 4.0000 7.0178 10.1924 2.0000 0
%! 1.0000 1.0000 1.0000 0.7071 1.0000 1.0000
%! -2.5000 -4.0000 -0.5429 3.5355 1.0000 5.0000
%! 0 4.0000 -1.9571 -3.5355 -3.5000 -5.0000
%! 2.0000 4.0000 8.5444 10.1924 2.0000 0
%! 1.0000 1.0000 1.0000 0.7071 1.0000 1.0000
%! -2.4379 0 -0.0355 3.5355 1.9527 5.0000
%! 0.9527 4.0000 -1.4497 -0.7071 -3.4379 -1.0000
%! 2.0000 4.0000 9.4508 7.1213 2.0000 0
%! 1.0000 1.0000 1.0000 0.7071 1.0000 1.0000];
%! coefs = reshape (coefs, 4, 4, 3, 9);
%! horseshoe = nrbmak (coefs, knots);
%! nrbplot (horseshoe, [6, 6, 50], 'light', 'on');
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