/usr/share/octave/packages/geometry-1.7.0/geom2d/hexagonalGrid.m is in octave-geometry 1.7.0-1build1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 | ## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## 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.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{pts} = } hexagonalGrid (@var{bounds}, @var{origin}, @var{size})
## Generate hexagonal grid of points in the plane.
##
## usage
## PTS = hexagonalGrid(BOUNDS, ORIGIN, SIZE)
## generate points, lying in the window defined by BOUNDS (=[xmin ymin
## xmax ymax]), starting from origin with a constant step equal to size.
## SIZE is constant and is equals to the length of the sides of each
## hexagon.
##
## TODO: add possibility to use rotated grid
## @end deftypefn
function varargout = hexagonalGrid(bounds, origin, size, varargin)
size = size(1);
dx = 3*size;
dy = size*sqrt(3);
# consider two square grids with different centers
pts1 = squareGrid(bounds, origin + [0 0], [dx dy], varargin{:});
pts2 = squareGrid(bounds, origin + [dx/3 0], [dx dy], varargin{:});
pts3 = squareGrid(bounds, origin + [dx/2 dy/2], [dx dy], varargin{:});
pts4 = squareGrid(bounds, origin + [-dx/6 dy/2], [dx dy], varargin{:});
# gather points
pts = [pts1;pts2;pts3;pts4];
# eventually compute also edges, clipped by bounds
# TODO : manage generation of edges
if nargout>1
edges = zeros([0 4]);
x0 = origin(1);
y0 = origin(2);
# find all x coordinate
x1 = bounds(1) + mod(x0-bounds(1), dx);
x2 = bounds(3) - mod(bounds(3)-x0, dx);
lx = (x1:dx:x2)';
# horizontal edges : first find y's
y1 = bounds(2) + mod(y0-bounds(2), dy);
y2 = bounds(4) - mod(bounds(4)-y0, dy);
ly = (y1:dy:y2)';
# number of points in each coord, and total number of points
ny = length(ly);
nx = length(lx);
if bounds(1)-x1+dx<size
disp('intersect bounding box');
end
if bounds(3)-x2<size
disp('intersect 2');
edges = [edges;repmat(x2, [ny 1]) ly repmat(bounds(3), [ny 1]) ly];
x2 = x2-dx;
lx = (x1:dx:x2)';
nx = length(lx);
end
for i=1:length(ly)
ind = (1:nx)';
tmpEdges(ind, 1) = lx;
tmpEdges(ind, 2) = ly(i);
tmpEdges(ind, 3) = lx+size;
tmpEdges(ind, 4) = ly(i);
edges = [edges; tmpEdges];
end
end
# process output arguments
if nargout>0
varargout{1} = pts;
if nargout>1
varargout{2} = edges;
end
end
endfunction
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