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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 line = cartesianLine(varargin)
%CARTESIANLINE Create a straight line from cartesian equation coefficients.
%
% L = cartesianLine(A, B, C);
% Create a line verifying the Cartesian equation:
% A*x + B*x + C = 0;
%
% See also
% lines2d, createLine
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2004-05-25
% Copyright 2004-2023 INRA - Cepia Software Platform
if length(varargin)==1
var = varargin{1};
a = var(:,1);
b = var(:,2);
c = var(:,3);
elseif length(varargin)==3
a = varargin{1};
b = varargin{2};
c = varargin{3};
end
% normalisation factor
d = a.*a + b.*b;
x0 = -a.*c./d;
y0 = -b.*c./d;
theta = atan2(-a, b);
dx = cos(theta);
dy = sin(theta);
line = [x0 y0 dx dy];
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