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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 b = isParallel3d(v1, v2, varargin)
%ISPARALLEL3D Check parallelism of two 3D vectors.
%
% B = isParallel3d(V1, V2)
% where V1 and V2 are 2 [1x3] arrays, returns 1 if the vectors are
% parallels, and 0 otherwise.
%
% Also works when V1 and V2 are two [Nx3] arrays with same number of
% rows. In this case, return a [Nx1] array containing 1 at the positions
% of parallel vectors.
%
% Also works when one of V1 or V2 is scalar and the other one is [Nx3]
% array, in this case return [Nx1] results.
%
% B = isPerpendicular3d(V1, V2, TOL)
% Specifies the absolute tolerance (default is 1e-14).
%
% Example
% isParallel3d([1 2 1], [2 4 2])
% ans =
% 1
%
% isParallel3d([1 2 1], [1 3 2])
% ans =
% 0
%
% See also
% vectors3d, isPerpendicular3d
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2006-04-25
% Copyright 2006-2023 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
% check if tolerance is specified
tol = 1e-14;
if ~isempty(varargin)
tol = varargin{1};
end
% compute
b = vectorNorm3d(crossProduct3d(v1, v2)) < tol;
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