Question

Question 9 Problem Solving, Design, Implementation and Testing in MATLAB (a) Create a function called makeLayered that takes a single parameter n and returns a square 2D array that has 1 at its centre and layers of numbers around this increasing up to and including the value n. For example: makeLayered(3) will return the 2D array 3 3 3 3 3 2 2 3 2 3 2 2 1 3 3 2 2 2 3 3 33 3 3 3 [8 marks (b) Give three test cases for the makeLayered function that will test a range of explain what types of inputs that case is testing outcomes. For each test case and give the expected output. [4 marks ITotal for Question 9: 12 marks

Answer 1

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(a) % Code below

function matrx = makeLayered(n)
%   
% make a matrix of (2*n-1)x(2*n-1)
matrx = ones(2*n-1,2*n-1);
if( n > 1)
% recursively call makeLayered(n-1)
mat = makeLayered(n-1);
% fill the first row, last row, first column and last column
% with n
for i=1:2*n-1
matrx(1,i) = n;
matrx(i,1) = n;
matrx(2*n-1,i) = n;
matrx(i,2*n-1) = n;
end
for i=2:2*n-2
for j=2:2*n-2
matrx(i,j) = mat(i-1,j-1);
end
end
end
  
end

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(b) Screenshots of test cases :-

(i) For n = 1

= makeLayered (1) >>m 1
(ii) For n = 3
makeLayered (3) >>m m = 3 3 3 2 2 3 3 1 2 3 3 2 2 2 3 3 3 3 N N CO
(iii) For n = 8

(8) makeLayered >>m m = 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 8 5 5 6 7 4 4 4 4 4 4 4 6 7 7 6 4 3 3 3 3 4 7 8 7 6 3 2 2 4 6 2 5 6 7 6 5 3 2 2 4 5 7 7 5 3 3 3 3 4 5 7 6 5 4 4 4 4 4 4 7 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8

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