1 %% Copyright (c) 2011, INRA
2 %% 2003-2011, David Legland <david.legland@grignon.inra.fr>
3 %% 2011 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
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6 %% (simplified BSD License)
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35 %% @deftypefn {Function File} {@var{theta} =} lineAngle(varargin)
36 %% Computes angle between two straight lines
38 %% A = lineAngle(LINE);
39 %% Returns the angle between horizontal, right-axis and the given line.
40 %% Angle is fiven in radians, between 0 and 2*pi, in counter-clockwise
43 %% A = lineAngle(LINE1, LINE2);
44 %% Returns the directed angle between the two lines. Angle is given in
45 %% radians between 0 and 2*pi, in counter-clockwise direction.
47 %% @seealso{lines2d, angles2d, createLine, normalizeAngle}
50 function theta = lineAngle(varargin)
52 nargs = length(varargin);
54 % angle of one line with horizontal
56 theta = mod(atan2(line(:,4), line(:,3)) + 2*pi, 2*pi);
59 % angle between two lines
60 theta1 = lineAngle(varargin{1});
61 theta2 = lineAngle(varargin{2});
62 theta = mod(bsxfun(@minus, theta2, theta1)+2*pi, 2*pi);
69 %! line1 = createLine([2 3 1 0]);
70 %! assert (lineAngle(line1), 0, 1e-6);
73 %! line1 = createLine([2 3 0 1]);
74 %! assert (lineAngle(line1), pi/2, 1e-6);
77 %! line1 = createLine([2 3 1 1]);
78 %! assert (lineAngle(line1), pi/4, 1e-6);
81 %! line1 = createLine([2 3 5 -1]);
82 %! assert (lineAngle(line1), mod(atan2(-1, 5)+2*pi, 2*pi), 1e-6);
85 %! line1 = createLine([2 3 5000 -1000]);
86 %! assert (lineAngle(line1), mod(atan2(-1, 5)+2*pi, 2*pi), 1e-6);
89 %! line1 = createLine([2 3 -1 0]);
90 %! assert (lineAngle(line1), pi, 1e-6);
92 % test lineAngle with two parameters : angle between 2 lines
93 % check for 2 orthogonal lines
95 %! line1 = createLine([1 3 1 0]);
96 %! line2 = createLine([-2 -1 0 1]);
97 %! assert (lineAngle(line1, line2), pi/2, 1e-6);
98 %! assert (lineAngle(line2, line1), 3*pi/2, 1e-6);
100 % check for 2 orthogonal lines, with very different parametrizations
102 %! line1 = createLine([1 3 1 1]);
103 %! line2 = createLine([-2 -1 -1000 1000]);
104 %! assert (lineAngle(line1, line2), pi/2, 1e-6);
105 %! assert (lineAngle(line2, line1), 3*pi/2, 1e-6);