1 %% Copyright (c) 2011, INRA
2 %% 2007-2011, David Legland <david.legland@grignon.inra.fr>
3 %% 2011 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
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35 %% @deftypefn {Function File} {@var{alpha} =} angle2Points (@var{p1}, @var{p2})
36 %% Compute horizontal angle between 2 points
38 %% @var{p1} and @var{p2} are either [1x2] arrays, or [Nx2] arrays, in this case
39 %% @var{alpha} is a [Nx1] array. The angle computed is the horizontal angle of
40 %% the line (@var{p1},@var{p2}).
42 %% Result is always given in radians, between 0 and 2*pi.
44 %% @seealso{points2d, angles2d, angle3points, normalizeAngle, vectorAngle}
47 function theta = angle2Points(varargin)
49 % process input arguments
50 if length(varargin)==2
53 elseif length(varargin)==1
59 % ensure data have correct size
62 if n1~=n2 && min(n1, n2)>1
63 error('angle2Points: wrong size for inputs');
66 % angle of line (P2 P1), between 0 and 2*pi.
67 dp = bsxfun(@minus, p2, p1);
68 theta = mod(atan2(dp(:,2), dp(:,1)) + 2*pi, 2*pi);
73 %! % all points inside window, possibly touching edges
76 %! angle_ = angle2Points (p1, p2);
77 %! assert (angle_,0,1e-6);
78 %! angle_ = angle2Points (p2, p1);
79 %! assert (angle_,pi,1e-6);
83 %! % all points inside window, possibly touching edges
86 %! angle_ = angle2Points (p1, p2);
87 %! assert (pi/2, angle_,1e-6);
88 %! angle_ = angle2Points (p2, p1);
89 %! assert (3*pi/2, angle_,1e-6);
92 %! % all points inside window, possibly touching edges
93 %! p1 = [0 0;0 0;0 0;0 0];
94 %! p2 = [10 0;10 10;0 10;-10 10];
95 %! angle_ = angle2Points (p1, p2);
96 %! assert (size (p1, 1), size (angle_, 1));
97 %! res = [0;pi/4;pi/2;3*pi/4];
98 %! assert (res, angle_, 1e-6);
101 %! % all points inside window, possibly touching edges
103 %! p2 = [10 0;10 10;0 10;-10 10];
104 %! angle_ = angle2Points (p1, p2);
105 %! assert(size (p2, 1), size (angle_, 1));
106 %! res = [0;pi/4;pi/2;3*pi/4];
107 %! assert(res, angle_,1e-6);