X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FmidPoint.m;fp=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FmidPoint.m;h=570d67a1d95c2ea46064b99a8e5cb878d504e00b;hp=0000000000000000000000000000000000000000;hb=f5f7a74bd8a4900f0b797da6783be80e11a68d86;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/geometry-1.5.0/geom2d/midPoint.m b/octave_packages/geometry-1.5.0/geom2d/midPoint.m new file mode 100644 index 0000000..570d67a --- /dev/null +++ b/octave_packages/geometry-1.5.0/geom2d/midPoint.m @@ -0,0 +1,170 @@ +%% Copyright (c) 2011, INRA +%% 2010-2011, 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{mid} = } midPoint (@var{p1}, @var{p2}) +%% @deftypefnx {Function File} {@var{mid} = } midPoint (@var{edge}) +%% @deftypefnx {Function File} {[@var{midx}, @var{midy}] = } midPoint (@var{edge}) +%% Middle point of two points or of an edge +%% +%% Computes the middle point of the two points @var{p1} and @var{p2}. +%% +%% If an edge is given, computes the middle point of the edge given by @var{edge}. +%% @var{edge} has the format: [X1 Y1 X2 Y2], and @var{mid} has the format [XMID YMID], +%% with XMID = (X1+X2)/2, and YMID = (Y1+Y2)/2. +%% +%% If two output arguments are given, it returns the result as two separate variables or arrays. +%% +%% Works also when @var{edge} is a N-by-4 array, in this case the result is a +%% N-by-2 array containing the midpoint of each edge. +%% +%% Example +%% +%% @example +%% p1 = [10 20]; +%% p2 = [30 40]; +%% midPoint([p1 p2]) +%% ans = +%% 20 30 +%% @end example +%% +%% @seealso{edges2d, points2d} +%% @end deftypefn + +function varargout = midPoint(varargin) + + if nargin == 1 + % input is an edge + edge = varargin{1}; + mid = [mean(edge(:, [1 3]), 2) mean(edge(:, [2 4]), 2)]; + + elseif nargin == 2 + % input are two points + p1 = varargin{1}; + p2 = varargin{2}; + + % assert inputs are equal + n1 = size(p1, 1); + n2 = size(p2, 1); + if n1 != n2 && min(n1, n2)>1 + error('geom2d:midPoint', ... + 'Inputs must have same size, or one must have length 1'); + end + + % compute middle point + mid = bsxfun(@plus, p1, p2) / 2; + end + + % process output arguments + if nargout<=1 + varargout{1} = mid; + else + varargout = {mid(:,1), mid(:,2)}; + end + +endfunction + +%!test +%! p1 = [10 20]; +%! p2 = [30 40]; +%! exp = [20 30]; +%! mid = midPoint(p1, p2); +%! assert (mid, exp); + +%!test +%! p1 = [ ... +%! 10 20 ; ... +%! 30 40 ; ... +%! 50 60 ; ... +%! ]; +%! p2 = [ ... +%! 30 40; ... +%! 50 60; ... +%! 70 80]; +%! exp = [... +%! 20 30; ... +%! 40 50; ... +%! 60 70]; +%! mid = midPoint(p1, p2); +%! assert (mid, exp); + +%!test +%! p1 = [30 40]; +%! p2 = [ ... +%! 30 40; ... +%! 50 60; ... +%! 70 80]; +%! exp = [... +%! 30 40; ... +%! 40 50; ... +%! 50 60]; +%! mid = midPoint(p1, p2); +%! assert (mid, exp); + +%!test +%! p1 = [ ... +%! 10 20 ; ... +%! 30 40 ; ... +%! 50 60 ; ... +%! ]; +%! p2 = [30 40]; +%! exp = [... +%! 20 30; ... +%! 30 40; ... +%! 40 50]; +%! mid = midPoint(p1, p2); +%! assert (mid, exp); + +%!test +%! p1 = [ ... +%! 10 20 ; ... +%! 30 40 ; ... +%! 50 60 ; ... +%! ]; +%! p2 = [30 40]; +%! expX = [20 ; 30 ; 40]; +%! expY = [30 ; 40 ; 50]; +%! [x y] = midPoint(p1, p2); +%! assert (x, expX); +%! assert (y, expY); + +%!test +%! edge = [10 20 30 40]; +%! exp = [20 30]; +%! mid = midPoint(edge); +%! assert (mid, exp); +%! edge = [10 20 30 40; 30 40 50 60; 50 60 70 80]; +%! exp = [20 30;40 50; 60 70]; +%! mid = midPoint(edge); +%! assert (mid, exp); +