Closest_pair_of_points.svg
Size of this PNG preview of this SVG file:
256 × 256 pixels
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Other resolutions:
240 × 240 pixels
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480 × 480 pixels
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768 × 768 pixels
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1,024 × 1,024 pixels
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2,048 × 2,048 pixels
.
Summary
Description Closest pair of points.svg |
English:
Closest pair of points shown in red.
|
Date | |
Source | Own work |
Author | Qef |
Other versions | Bitmap version: file:ClosestPair.png |
Licensing
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication . | |
The person who associated a work with this deed has dedicated the work to the
public domain
by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.en CC0 Creative Commons Zero, Public Domain Dedication false false |
Source code
The SVG was generated by running the Lua program given below. It deliberately fails if the closest points would be overlapping in the image, because that would be confusing.
local WD, HT, NUM_POINTS = 256, 256, 16 local COLOR = { normal = '#000', closest = '#f00' } local RADIUS = 5 math.randomseed(os.time()) local P = {} for _ = 1, NUM_POINTS do P[#P+1] = { x = RADIUS + (WD - 2*RADIUS) * math.random(), y = RADIUS + (HT - 2*RADIUS) * math.random() } end -- Find closest pair, using naive algorithm. local closest_a, closest_b local min_dist for i, p in ipairs(P) do for j, q in ipairs(P) do if i ~= j then local dist = math.sqrt((p.x - q.x)^2 + (p.y - q.y)^2) if not min_dist or dist < min_dist then min_dist = dist closest_a, closest_b = i, j end end end end if min_dist < RADIUS then error("points on top of each other, run me again") end io.write('<?xml version="1.0" encoding="UTF-8" standalone="no"?>\n', '<svg svg="http://www.w3.org/2000/svg" version="1.0"', ' width="', WD, '" height="', HT, '">\n') for i, p in ipairs(P) do local color = COLOR.normal if i == closest_a or i == closest_b then color = COLOR.closest end io.write(' <circle cx="', RADIUS + p.x, '" cy="', RADIUS + p.y, '" r="', RADIUS, '" style="fill:', color, '"/>\n') end io.write('</svg>\n')