/// <summary>
/// Write the provided square to the provided output.
/// </summary>
/// <param name="square">The square to write</param>
/// <param name="output">The output to write into</param>
/// <exception cref="ArgumentNullException">In case the square or the output is null.</exception>
public void WriteSquare(Square square, TextWriter output)
{
if (square == null) throw new ArgumentNullException(nameof(square));
if (output == null) throw new ArgumentNullException(nameof(output));
output.WriteLine("Square:");
for (int i = 0; i < square.Size; i++)
{
for (int j = 0; j < square.Size; j++)
{
output.Write($"{square.Values[i][j]} ");
}
output.WriteLine();
}
}
/// <summary>
/// Reads the square size and values from the provided input.
/// </summary>
/// <param name="input">Where to read the values from</param>
/// <param name="output">Optional; where to write messages to</param>
/// <returns>The constructed square.</returns>
/// <exception cref="ArgumentNullException">Thrown if the input is null.</exception>
public Square ReadSquare(TextReader input, TextWriter output)
{
if (input == null) throw new ArgumentNullException(nameof(input));
int size = _integerInputReader.ReadInteger(input, "Square size (greater than zero) :", output);
var square = new Square(size);
for (int i = 0; i < size; i++)
{
for (int j = 0; j < size; j++)
{
square.Values[i][j] = _integerInputReader.ReadInteger(input, $"Square value [{i}, {j}]: ", output);
}
}
return square;
}
/// <summary>
/// Verifies if the provided square matches the magic number.
/// </summary>
/// <param name="square">The square to check</param>
/// <returns>True, if the square is magic; otherwise false.</returns>
/// <exception cref="ArgumentNullException">If the square is null.</exception>
public bool IsMagicSquare(Square square)
{
if (square == null) throw new ArgumentNullException(nameof(square));
int mainDiagSum = 0;
int antiDiagSum = 0;
for (int i = 0; i < square.Size; i++)
{
int rowSum = 0;
int colSum = 0;
for (int j = 0; j < square.Size; j++)
{
// sum the current row
rowSum += square.Values[i][j];
// sum the current column
colSum += square.Values[j][i];
// sum the main diagonal values (when the two indicies are equal)
if (i == j)
mainDiagSum += square.Values[i][j];
// sum the anti diagonal values (when the two indicis add up to size - 1)
if ((i + j) == (square.Size - 1))
antiDiagSum += square.Values[i][j];
}
// after each row/column summing is complete verify if the magic value is obtained; otherwise do an early stop
if (rowSum != _magicNumber || colSum != _magicNumber)
return false;
}
// after passing through the whole square (with magic sum on rows and colums) verify the two diagonal sums
if (mainDiagSum != _magicNumber || antiDiagSum != _magicNumber)
return false;
return true;
}