/// <summary>
/// Checks if the given 4 vertices form a rectangle
/// </summary>
/// <param name="vertices"></param>
/// <returns></returns>
public static bool IsRectangle(Vector2[] vertices, double tolerance = GeometrySettings.DEFAULT_TOLERANCE)
{
if (vertices == null)
{
throw new ArgumentNullException("vertices");
}
if (vertices.Count() != 4)
{
throw new ArgumentException("You must submit 4 vertices!");
}
var topLine = new LineSegment2(vertices[0], vertices[1]).ToVector();
var rightLine = new LineSegment2(vertices[1], vertices[2]).ToVector();
var bottomLine = new LineSegment2(vertices[2], vertices[3]).ToVector();
var leftLine = new LineSegment2(vertices[3], vertices[0]).ToVector();
// Check that two lines have equal length
if (Math.Abs(topLine.Length - bottomLine.Length) < tolerance &&
Math.Abs(rightLine.Length - leftLine.Length) < tolerance)
{
// Now ensure that the lines are orthogonal on each other
bool isRect = topLine.IsPerpendicularTo(rightLine, tolerance);
isRect &= rightLine.IsPerpendicularTo(bottomLine, tolerance);
isRect &= bottomLine.IsPerpendicularTo(leftLine, tolerance);
return(isRect);
}
return(false);
}
/// <summary>
/// Checks if the given 4 vertices form a rectangle
/// </summary>
/// <param name="vertices"></param>
/// <returns></returns>
public static bool IsRectangle(Vector2[] vertices, double tolerance = GeometrySettings.DEFAULT_TOLERANCE)
{
if (vertices == null) throw new ArgumentNullException("vertices");
if (vertices.Count() != 4) throw new ArgumentException("You must submit 4 vertices!");
var topLine = new LineSegment2(vertices[0], vertices[1]).ToVector();
var rightLine = new LineSegment2(vertices[1], vertices[2]).ToVector();
var bottomLine = new LineSegment2(vertices[2], vertices[3]).ToVector();
var leftLine = new LineSegment2(vertices[3], vertices[0]).ToVector();
// Check that two lines have equal length
if (Math.Abs(topLine.Length - bottomLine.Length) < tolerance
&& Math.Abs(rightLine.Length - leftLine.Length) < tolerance)
{
// Now ensure that the lines are orthogonal on each other
bool isRect = topLine.IsPerpendicularTo(rightLine, tolerance);
isRect &= rightLine.IsPerpendicularTo(bottomLine, tolerance);
isRect &= bottomLine.IsPerpendicularTo(leftLine, tolerance);
return isRect;
}
return false;
}
