File: createRay.m

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## Copyright (C) 2024 David Legland
## All rights reserved.
## 
## 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 AUTHOR 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 the copyright holders.

function ray = createRay(varargin)
%CREATERAY Create a ray (half-line), from various inputs.
%
%   RAY = createRay(POINT, ANGLE)
%   POINT is a N*2 array giving starting point of the ray, and ANGLE is the
%   orientation of the ray.
%
%   RAY = createRay(X0, Y0, ANGLE)
%   Specify ray origin with 2 input arguments.
%
%   RAY = createRay(P1, P2)
%   Create a ray starting from point P1 and going in the direction of point
%   P2.
%
%   Ray is represented in a parametric form: [x0 y0 dx dy]
%   x = x0 + t*dx
%   y = y0 + t*dy;
%   for all t>0
%
%   Example
%   origin  = [3 4];
%   theta   = pi/6;
%   ray = createRay(origin, theta);
%   figure(1); clf; hold on;
%   axis([0 10 0 10]);
%   drawRay(ray);
%
%   See also 
%   rays2d, createLine, points2d

% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2007-10-18
% Copyright 2007-2023 INRA - BIA PV Nantes - MIAJ Jouy-en-Josas

if length(varargin)==2
    p0 = varargin{1};
    arg = varargin{2};
    if size(arg, 2)==1
        % second input is the ray angle
        ray = [p0 cos(arg) sin(arg)];
    else
        % second input is another point
        ray = [p0 arg-p0];
    end
    
elseif length(varargin)==3   
    x = varargin{1};
    y = varargin{2};
    theta = varargin{3};
    ray = [x y cos(theta) sin(theta)];   

else
    error('Wrong number of arguments in ''createRay'' ');
end