/usr/share/octave/packages/nurbs-1.3.7/numbasisfun.m is in octave-nurbs 1.3.7-1build1.
This file is owned by root:root, with mode 0o644.
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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 | function B = numbasisfun (iv, uv, p, U)
% NUMBASISFUN: List non-zero Basis functions for B-Spline in a given knot-span
%
% Calling Sequence:
%
% N = numbasisfun(i,u,p,U)
%
% INPUT:
%
% i - knot span ( from FindSpan() )
% u - parametric point
% p - spline degree
% U - knot sequence
%
% OUTPUT:
%
% N - Basis functions (numel(u)x(p+1))
%
% See also:
%
% basisfun, basisfunder
%
% Copyright (C) 2009 Carlo de Falco
%
% 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/>.
B = bsxfun (@(a, b) a+b,iv-p, (0:p).').';
end
%!test
%! n = 3;
%! U = [0 0 0 1/2 1 1 1];
%! p = 2;
%! u = linspace (0, 1, 10);
%! s = findspan (n, p, u, U);
%! Bref = [0 0 0 0 0 1 1 1 1 1; ...
%! 1 1 1 1 1 2 2 2 2 2; ...
%! 2 2 2 2 2 3 3 3 3 3].';
%! B = numbasisfun (s, u, p, U);
%! assert (B, Bref)
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