X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FlineAngle.m;fp=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FlineAngle.m;h=40c90e840f00ba59a072a1f89002c40ef2704d10;hp=0000000000000000000000000000000000000000;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/geometry-1.5.0/geom2d/lineAngle.m b/octave_packages/geometry-1.5.0/geom2d/lineAngle.m new file mode 100644 index 0000000..40c90e8 --- /dev/null +++ b/octave_packages/geometry-1.5.0/geom2d/lineAngle.m @@ -0,0 +1,105 @@ +%% Copyright (c) 2011, INRA +%% 2003-2011, 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{theta} =} lineAngle(varargin) +%% Computes angle between two straight lines +%% +%% A = lineAngle(LINE); +%% Returns the angle between horizontal, right-axis and the given line. +%% Angle is fiven in radians, between 0 and 2*pi, in counter-clockwise +%% direction. +%% +%% A = lineAngle(LINE1, LINE2); +%% Returns the directed angle between the two lines. Angle is given in +%% radians between 0 and 2*pi, in counter-clockwise direction. +%% +%% @seealso{lines2d, angles2d, createLine, normalizeAngle} +%% @end deftypefn + +function theta = lineAngle(varargin) + + nargs = length(varargin); + if nargs == 1 + % angle of one line with horizontal + line = varargin{1}; + theta = mod(atan2(line(:,4), line(:,3)) + 2*pi, 2*pi); + + elseif nargs==2 + % angle between two lines + theta1 = lineAngle(varargin{1}); + theta2 = lineAngle(varargin{2}); + theta = mod(bsxfun(@minus, theta2, theta1)+2*pi, 2*pi); + end + +endfunction + +% horizontal +%!test +%! line1 = createLine([2 3 1 0]); +%! assert (lineAngle(line1), 0, 1e-6); + +%!test +%! line1 = createLine([2 3 0 1]); +%! assert (lineAngle(line1), pi/2, 1e-6); + +%!test +%! line1 = createLine([2 3 1 1]); +%! assert (lineAngle(line1), pi/4, 1e-6); + +%!test +%! line1 = createLine([2 3 5 -1]); +%! assert (lineAngle(line1), mod(atan2(-1, 5)+2*pi, 2*pi), 1e-6); + +%!test +%! line1 = createLine([2 3 5000 -1000]); +%! assert (lineAngle(line1), mod(atan2(-1, 5)+2*pi, 2*pi), 1e-6); + +%!test +%! line1 = createLine([2 3 -1 0]); +%! assert (lineAngle(line1), pi, 1e-6); + +% test lineAngle with two parameters : angle between 2 lines +% check for 2 orthogonal lines +%!test +%! line1 = createLine([1 3 1 0]); +%! line2 = createLine([-2 -1 0 1]); +%! assert (lineAngle(line1, line2), pi/2, 1e-6); +%! assert (lineAngle(line2, line1), 3*pi/2, 1e-6); + +% check for 2 orthogonal lines, with very different parametrizations +%!test +%! line1 = createLine([1 3 1 1]); +%! line2 = createLine([-2 -1 -1000 1000]); +%! assert (lineAngle(line1, line2), pi/2, 1e-6); +%! assert (lineAngle(line2, line1), 3*pi/2, 1e-6);