X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FisParallel.m;fp=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FisParallel.m;h=0ee5774b77097cf5defb5be43c97537804220fb7;hp=0000000000000000000000000000000000000000;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/geometry-1.5.0/geom2d/isParallel.m b/octave_packages/geometry-1.5.0/geom2d/isParallel.m new file mode 100644 index 0000000..0ee5774 --- /dev/null +++ b/octave_packages/geometry-1.5.0/geom2d/isParallel.m @@ -0,0 +1,97 @@ +%% Copyright (c) 2011, INRA +%% 2006-2011, David Legland +%% 2011 Adapted to Octave by Juan Pablo Carbajal +%% +%% All rights reserved. +%% (simplified BSD License) +%% +%% 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 COPYRIGHT HOLDER 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. +%% +%% The views and conclusions contained in the software and documentation are +%% those of the authors and should not be interpreted as representing official +%% policies, either expressed or implied, of copyright holder. + +%% -*- texinfo -*- +%% @deftypefn {Function File} {@var{b} = } isParallel (@var{v1}, @var{v2}) +%% @deftypefnx {Function File} {@var{b} = } isParallel (@var{v1}, @var{v2},@var{tol}) +%% Check parallelism of two vectors +%% +%% @var{v1} and @var{v2} are 2 row vectors of length Nd, Nd being the dimension, +%% returns @code{true} if the vectors are parallel, and @code{false} otherwise. +%% +%% Also works when @var{v1} and @var{v2} are two [NxNd] arrays with same number of +%% rows. In this case, return a [Nx1] array containing @code{true} at the positions +%% of parallel vectors. +%% +%% @var{tol} specifies the accuracy of numerical computation. Default value is 1e-14. +%% +%% Example +%% +%% @example +%% isParallel([1 2], [2 4]) +%% ans = +%% 1 +%% isParallel([1 2], [1 3]) +%% ans = +%% 0 +%% @end example +%% +%% @seealso{vectors2d, isPerpendicular, lines2d} +%% @end deftypefn + +%% FIXME or erase me +%% Also works when one of @var{v1} or @var{v2} is scalar and the other one is [NxNd] +%% array, in this case return [Nx1] results. + +function b = isParallel(v1, v2, varargin) + + % default accuracy + acc = 1e-14; + if ~isempty(varargin) + acc = abs(varargin{1}); + end + + % adapt size of inputs if needed + n1 = size(v1, 1); + n2 = size(v2, 1); + if n1 ~= n2 + if n1 == 1 + v1 = v1(ones(n2,1), :); + elseif n2 == 1 + v2 = v2(ones(n1,1), :); + end + end + + % performs computation + if size(v1, 2) == 2 + b = abs(v1(:, 1) .* v2(:, 2) - v1(:, 2) .* v2(:, 1)) < acc; + else + % computation in space + b = vectorNorm(cross(v1, v2, 2)) < acc; + end + +endfunction + +%!assert (isParallel ([1 2], [2 4])) +%!assert (!isParallel ([1 2], [1 3])) +%!error (isParallel (3, rand(4,2)))