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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 d = distancePointCircle3d(points, circle)
%DISTANCEPOINTCIRCLE3D Distance between 3D points and 3D circle.
%
% D = distancePointCircle3d(POINTS, CIRCLE)
% Returns the euclidean distance D between POINTS and CIRCLE
%
% Example
% figure('color','w'); hold on; axis equal tight; view(3)
% circle = [10 20 30 50 90 45 60];
% drawCircle3d(circle)
% % Get some points on the circle
% pts = circle3dPoint(circle, 10:10:280);
% drawPoint3d(pts,'.r')
% % Get the normal of the circle
% circleNormal = normalizeVector3d(transformVector3d([0 0 1], ...
% eulerAnglesToRotation3d(circle(6), circle(5), circle(7), 'ZYZ')));
% drawArrow3d(circle(1:3), circleNormal*25)
% % Move points along the circle normal by 10 units
% pts2 = pts + 10 * circleNormal;
% drawPoint3d(pts2,'.g')
% drawEdge3d([pts, pts2])
% uniquetol(distancePointCircle3d(pts2, circle))
% % Decrease the circle radius by 5 units
% uniquetol(distancePointCircle3d(pts, [circle(1:3) circle(4)-5 circle(5:7)]))
%
% See also
% circles3d, projPointOnCircle3d
% ------
% Author: oqilipo
% E-mail: N/A
% Created: 2023-07-25, using Matlab 9.13.0.2080170 (R2022b) Update 1
% Copyright 2023
% Project the points on the circle
pointsProj2Circle = projPointOnCircle3d(points, circle);
% Calculate the distance between the points and the projected points
d = distancePoints3d(points, pointsProj2Circle);
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