How to resolve the algorithm Closest-pair problem step by step in the Ursala programming language

Published on 12 May 2024 09:40 PM
#Ursala

How to resolve the algorithm Closest-pair problem step by step in the Ursala programming language

Table of Contents

Problem Statement

Provide a function to find the closest two points among a set of given points in two dimensions,   i.e. to solve the   Closest pair of points problem   in the   planar   case. The straightforward solution is a   O(n2)   algorithm   (which we can call brute-force algorithm);   the pseudo-code (using indexes) could be simply: A better algorithm is based on the recursive divide&conquer approach,   as explained also at   Wikipedia's Closest pair of points problem,   which is   O(n log n);   a pseudo-code could be:

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Closest-pair problem step by step in the Ursala programming language

Source code in the ursala programming language

#import flo

clop = @iiK0 fleq$-&l+ *EZF ^\~& plus+ sqr~~+ minus~~bbI

#import std
#import flo

clop =

^(fleq-<&l,fleq-<&r); @blrNCCS ~&lrbhthPX2X+ ~&a^& fleq$-&l+ leql/8?al\^(eudist,~&)*altK33htDSL -+
   ^C/~&rr ^(eudist,~&)*tK33htDSL+ @rlrlPXPlX ~| fleq^\~&lr abs+ minus@llPrhPX,
   ^/~&ar @farlK30K31XPGbrlrjX3J ^/~&arlhh @W lesser fleq@bl+-

test_data =

<
   (1.547290e+00,3.313053e+00),
   (5.250805e-01,-7.300260e+00),
   (7.062114e-02,1.220251e-02),
   (-4.473024e+00,-5.393712e+00),
   (-2.563714e+00,-3.595341e+00),
   (-2.132372e+00,2.358850e+00),
   (2.366238e+00,-9.678425e+00),
   (-1.745694e+00,3.276434e+00),
   (8.066843e+00,-9.101268e+00),
   (-8.256901e+00,-8.717900e+00),
   (7.397744e+00,-5.366434e+00),
   (2.060291e-01,2.840891e+00),
   (-6.935319e+00,-5.192438e+00),
   (9.690418e+00,-9.175753e+00),
   (3.448993e+00,2.119052e+00),
   (-7.769218e+00,4.647406e-01)>

#cast %eeWWA

example = clop test_data

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