lib/geospatial/interleave.rb
# Copyright, 2016, by Samuel G. D. Williams. <http://www.codeotaku.com>
#
# Permission is hereby granted, free of charge, to any person obtaining a copy
# of this software and associated documentation files (the "Software"), to deal
# in the Software without restriction, including without limitation the rights
# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
# copies of the Software, and to permit persons to whom the Software is
# furnished to do so, subject to the following conditions:
#
# The above copyright notice and this permission notice shall be included in
# all copies or substantial portions of the Software.
#
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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# THE SOFTWARE.
module Geospatial
module Interleave
# Convert a Tranpose Hilbert index into a Hilbert integer
# 15-bit Hilbert integer = A B C D E F G H I J K L M N O is stored
# as its Transpose:
# x[0] = A D G J M
# x[1] = B E H K N
# x[2] = C F I L O
# |--bits-|
def self.map(index, bits)
result = 0
index.each_with_index do |x, i|
offset = index.size - (i+1)
bits.times do |j|
result |= (x & 1) << (j*index.size+offset)
x >>= 1
break if x == 0
end
end
return result
end
def self.unmap(integral, width)
result = [0] * width
mask = (1 << width) - 1
offset = 0
while integral != 0
# N times, look at each bit and append
width.times do |i|
bit = (integral >> i) & 1
result[-1-i] |= bit << offset
end
# Pop first n bits
integral >>= width
offset += 1
end
return result
end
end
end