# Copyright, 2015, by Samuel G. D. Williams. # # 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 # AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, # OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN # THE SOFTWARE. require 'matrix' module Geospatial class Box class << self def from_bounds(min, max) self.new(min, max-min, max) end alias [] from_bounds def enclosing_points(points) return nil unless points.any? min = points.first.to_a max = points.first.to_a points.each do |point| point.each_with_index do |value, index| if value < min[index] min[index] = value elsif value > max[index] max[index] = value end end end return self.from_bounds(Vector.elements(min), Vector.elements(max)) end end def initialize(origin, size, max = nil) @origin = origin @size = size @max = max end def freeze self.max super end attr :origin attr :size def to_s "#{self.class}[#{min.inspect}, #{max.inspect}]" end def min @origin end def max @max ||= @origin + @size end # This yields the four corners of the box. def corners return to_enum(:corners) unless block_given? yield(@origin) max = self.max yield(Vector[max[0], @origin[1]]) yield(max) yield(Vector[@origin[0], max[1]]) end # This yields the midpoints of the four sides of the box. def midpoints return to_enum(:midpoints) unless block_given? size = self.size yield(Vector[@origin[0] + size[0] / 2, @origin[1]]) yield(Vector[@origin[0] + size[0], @origin[1] + size[1] / 2]) yield(Vector[@origin[0] + size[0] / 2, @origin[1] + size[1]]) yield(Vector[@origin[0], @origin[1] + size[1] / 2]) end def include_point?(point) 2.times do |i| return false if point[i] < min[i] or point[i] >= max[i] end return true end def include?(other) include_point?(other.min) && include_point?(other.max) end def intersect?(other) 2.times do |i| # Separating axis theorm, if the minimum of the other is past the maximum of self, or the maximum of other is less than the minimum of self, an intersection cannot occur. if other.min[i] > self.max[i] or other.max[i] < self.min[i] return false end end return true end end end