/// <summary>
/// Calculates the row and column of a triangle with the specified vertices.
/// </summary>
/// <remarks>
/// This is done based on the diagram, that among the three distinct pairs of a triangle vertices,
/// the two pairs will either have the same x or y coordinate.
/// </remarks>
/// <param name="vertices">The vertices of the triangle.</param>
/// <returns>
/// Returns a Triangle object with row and column.
///</returns>
public Triangle CalculateRowAndColumn(int[,] vertices)
{
int i = 0;
var triangle = new Triangle(vertices);
// if the first two vertices have different x and y coordinates, swap the first
// with the last coordinate. That will make the initial vertex the right angle vertex.
if (!triangle.HaveSameXCoordinates(i, i + 1) &&
!triangle.HaveSameYCoordinates(i, i + 1))
triangle.Swap(i, i + 2);
// check the x and y coordinates again, if it doesn't validate throw an exception
// because based on the diagram, the row must be parallel to the y-axis and the column
// must be parallel to the x-axis.
if (!triangle.HaveSameXCoordinates(i, i + 1) &&
!triangle.HaveSameYCoordinates(i, i + 1))
throw new Exception ("Vertices are not in the right format.");
for (int j = 1; j < triangle.Length; j++)
{
if (triangle.HaveSameXCoordinates(i, j))
triangle.Row = Math.Abs(
triangle.Vertices[j, 1] - triangle.Vertices[i, 1]);
else
triangle.Column = Math.Abs(
triangle.Vertices[j, 0] - triangle.Vertices[i, 0]);
}
return triangle;
}