How to resolve the algorithm Spiral matrix step by step in the zkl programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Spiral matrix step by step in the zkl programming language

Table of Contents

Problem Statement

Produce a spiral array.

A   spiral array   is a square arrangement of the first   N2   natural numbers,   where the numbers increase sequentially as you go around the edges of the array spiraling inwards.

For example, given   5,   produce this array:

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Spiral matrix step by step in the zkl programming language

Source code in the zkl programming language

fcn spiralMatrix(n){
   sm:=(0).pump(n,List,(0).pump(n,List,False).copy); //L(L(False,False..), L(F,F,..) ...)
   drc:=Walker.cycle(T(0,1,0), T(1,0,1), T(0,-1,0), T(-1,0,1)); // deltas
   len:=n; r:=0; c:=-1; z:=-1; while(len>0){ //or do(2*n-1){
      dr,dc,dl:=drc.next();
      do(len-=dl){ sm[r+=dr][c+=dc]=(z+=1); }
   }
   sm
}

foreach n in (T(5,-1,0,1,2)){
   spiralMatrix(n).pump(Console.println,fcn(r){ r.apply("%4d".fmt).concat() });
   println("---");
}

  

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