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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 varargout = drawGrid3d(varargin)
%DRAWGRID3D Draw a 3D grid on the current axis.
%
% drawGrid3d
% draws a 3D square grid, with origin (0,0,0) and spacing 1 in each
% direction, with bounds corresponding to the bounds of current axis.
%
% drawGrid3d(SPACING)
% where spacing is either a scalar or a [1x3] matrix, specifies the size
% of the unit cell.
%
% drawGrid3d(ORIGIN, SPACING)
% Also specify origin of grid. ORIGIN is a [1x3] array.
%
% drawGrid3d(..., EDGE)
% specifies whether function should draw edges touching edges of axis.
% EDGE is a characheter string, which can be :
% - 'OPEN' : each line start from one face of window to the opposite
% face. This results in a 'spiky' grid.
% - 'CLOSED' (default value) : each line stops at the last visible point
% of the grid for this line. The result looks like a box (no free spikes
% around the grid).
%
% H = drawGrid3d(...);
% return a vector of handles for each LINE object which was crated.
%
%
% Example
% figure; hold on; axis equal; axis([-5 65 -5 45 -5 45]); view(3);
% drawGrid3d([0 0 0], [20 20 20]);
%
%
% See also
% drawLine3d, drawEdge3d, clipLine3d
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2005-11-17
% Copyright 2005-2023 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
%% initialize variables
% extract handle of axis to draw on
[hAx, varargin] = parseAxisHandle(varargin{:});
% default values
closed = true;
origin = [0 0 0];
spacing = [1 1 1];
% check if grid is open or not
str = '';
if ~isempty(varargin)
str = varargin{end};
end
if ischar(str)
if strncmpi(str, 'open', 4)
closed = false;
end
varargin = varargin(1:end-1);
end
% check origin and grid spacing
if length(varargin)==1
spacing = varargin{1};
elseif length(varargin)==2
origin = varargin{1};
spacing = varargin{2};
end
%% Compute internal data
% get axis limits
ax = axis(hAx);
x0 = ax(1); x1 = ax(2);
y0 = ax(3); y1 = ax(4);
z0 = ax(5); z1 = ax(6);
% get first and last coordinates of the grid in each direction
dx = spacing(1); dy = spacing(2); dz = spacing(3);
xe = x0 + mod(origin(1) - x0, dx);
xf = x1 - mod(x1 - origin(1), dx);
ye = y0 + mod(origin(2) - y0, dy);
yf = y1 - mod(y1 - origin(2), dy);
ze = z0 + mod(origin(1) - z0, dz);
zf = z1 - mod(z1 - origin(1), dz);
% update first and last coordinate if grid is 'closed'
if closed
x0 = xe; x1 = xf;
y0 = ye; y1 = yf;
z0 = ze; z1 = zf;
end
%% Draw the grid
% header array, one header for each line segment
h = [];
% draw lines parallel to x axis
for y = ye:dy:yf
for z = ze:dz:zf
h = [h; drawEdge3d(hAx, [x0 y z x1 y z])]; %#ok<AGROW>
end
end
% draw lines parallel to y axis
for x = xe:dx:xf
for z = ze:dz:zf
h = [h; drawEdge3d(hAx, [x y0 z x y1 z])]; %#ok<AGROW>
end
end
% draw lines parallel to z axis
for x = xe:dx:xf
for y = ye:dy:yf
h = [h; drawEdge3d(hAx, [x y z0 x y z1])]; %#ok<AGROW>
end
end
%% Check output arguments
if nargout > 0
varargout{1} = h;
end
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