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Kanaime's solution

to Spiral Matrix in the Julia Track

Published at Apr 10 2021 · 0 comments
Instructions
Test suite
Solution

Given the size, return a square matrix of numbers in spiral order.

The matrix should be filled with natural numbers, starting from 1 in the top-left corner, increasing in an inward, clockwise spiral order, like these examples:

Spiral matrix of size 3
1 2 3
8 9 4
7 6 5
Spiral matrix of size 4
 1  2  3 4
12 13 14 5
11 16 15 6
10  9  8 7

Source

Reddit r/dailyprogrammer challenge #320 [Easy] Spiral Ascension. https://www.reddit.com/r/dailyprogrammer/comments/6i60lr/20170619_challenge_320_easy_spiral_ascension/

Version compatibility

This exercise has been tested on Julia versions >=1.0.

Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.

runtests.jl

using Test

include("spiral-matrix.jl")


@testset "Different valid values" begin
    @testset "Empty spiral" begin
        @test spiral_matrix(0) == Matrix{Int}(undef,0,0)
    end
    @testset "Trivial spiral" begin
        @test spiral_matrix(1) == reshape([1],(1,1))
    end
    @testset "Spiral of size 2" begin
        @test spiral_matrix(2) == [1 2; 4 3]
    end
    @testset "Spiral of size 3" begin
        @test spiral_matrix(3) == [1 2 3; 8 9 4; 7 6 5]
    end
    @testset "Spiral of size 4" begin
        @test spiral_matrix(4) == [1 2 3 4; 12 13 14 5; 11 16 15 6; 10 9 8 7]
    end
    @testset "Spiral of size 5" begin
        @test spiral_matrix(5) == [1 2 3 4 5; 16 17 18 19 6; 15 24 25 20 7; 14 23 22 21 8; 13 12 11 10 9]
    end
end
function spiral_matrix(n)
    arr = []
    matrix = zeros(Int64, n, n)
    l = Int(ceil(n/2))
    for i = 1:l
        arr = vcat(arr, [(x, y) for x = i:i for y = i:n-i],
                        [(x, y) for x = i:n-i for y = n+1-i:n+1-i],
                        [(x, y) for x = n+1-i:n+1-i for y = -(-n-1+i:-2+1-i)],
                        [(x, y) for x = -(-n-1+i:-2+1-i) for y = i:i])
    end
    isodd(n) && (arr = vcat(arr, [(x, y) for x = l:l, y = l:l]))
    [matrix[arr[i]...] = i for i in 1:n^2]
    return matrix
end

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