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## to Spiral Matrix in the Julia Track

Published at Apr 01 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))
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)
spiral = Array{Int}(undef, n, n)  #initialize a square matrix of length n
dir = 1                           #direction of traversal, initialized positive
dim = 2                           #dimension of traversal, initialized horizontal
cur = [1, 1]                      #current index being modified, initialized at the top left corner
edge = n                          #number of values to modify before turning while traversing
step = 1                          #current steps taken since turning
for i in 1:n^2
spiral[cur, cur] = i    #set the next value of the spiral at current position
if step == edge
if dim == 1
dir = -dir            #if traversing vertically flip the sign of our direction
else
edge -= 1             #if traversing horizontally deincrement the ammount of times we step before turning
end
dim = dim == 1 ? 2 : 1    #change the dimension we are we are traversing
step = 0
end
step += 1
cur[dim] += dir               #take either a positive or negative step in the dimension being traversed
end
return spiral
end``````

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