/// <summary>
/// Check to see if two Rotated Rectangls have collided
/// </summary>
/// <param name="theRectangle"></param>
/// <returns></returns>
public bool Intersects(RotatedRectangle theRectangle)
{
//Calculate the Axis we will use to determine if a collision has occurred
//Since the objects are rectangles, we only have to generate 4 Axis (2 for
//each rectangle) since we know the other 2 on a rectangle are parallel.
List <Vector2> aRectangleAxis = new List <Vector2>();
aRectangleAxis.Add(UpperRightCorner() - UpperLeftCorner());
aRectangleAxis.Add(UpperRightCorner() - LowerRightCorner());
aRectangleAxis.Add(theRectangle.UpperLeftCorner() - theRectangle.LowerLeftCorner());
aRectangleAxis.Add(theRectangle.UpperLeftCorner() - theRectangle.UpperRightCorner());
//Cycle through all of the Axis we need to check. If a collision does not occur
//on ALL of the Axis, then a collision is NOT occurring. We can then exit out
//immediately and notify the calling function that no collision was detected. If
//a collision DOES occur on ALL of the Axis, then there is a collision occurring
//between the rotated rectangles. We know this to be true by the Seperating Axis Theorem
foreach (Vector2 aAxis in aRectangleAxis)
{
if (!IsAxisCollision(theRectangle, aAxis))
{
return(false);
}
}
return(true);
}
/// <summary>
/// Determines if a collision has occurred on an Axis of one of the
/// planes parallel to the Rectangle
/// </summary>
/// <param name="theRectangle"></param>
/// <param name="aAxis"></param>
/// <returns></returns>
private bool IsAxisCollision(RotatedRectangle theRectangle, Vector2 aAxis)
{
//Project the corners of the Rectangle we are checking on to the Axis and
//get a scalar value of that project we can then use for comparison
List <float> aRectangleAScalars = new List <float>();
aRectangleAScalars.Add(GenerateScalar(theRectangle.UpperLeftCorner(), aAxis));
aRectangleAScalars.Add(GenerateScalar(theRectangle.UpperRightCorner(), aAxis));
aRectangleAScalars.Add(GenerateScalar(theRectangle.LowerLeftCorner(), aAxis));
aRectangleAScalars.Add(GenerateScalar(theRectangle.LowerRightCorner(), aAxis));
//Project the corners of the current Rectangle on to the Axis and
//get a scalar value of that project we can then use for comparison
List <float> aRectangleBScalars = new List <float>();
aRectangleBScalars.Add(GenerateScalar(UpperLeftCorner(), aAxis));
aRectangleBScalars.Add(GenerateScalar(UpperRightCorner(), aAxis));
aRectangleBScalars.Add(GenerateScalar(LowerLeftCorner(), aAxis));
aRectangleBScalars.Add(GenerateScalar(LowerRightCorner(), aAxis));
//Get the Maximum and Minium Scalar values for each of the Rectangles
float aRectangleAMinimum = aRectangleAScalars.Min();
float aRectangleAMaximum = aRectangleAScalars.Max();
float aRectangleBMinimum = aRectangleBScalars.Min();
float aRectangleBMaximum = aRectangleBScalars.Max();
//If we have overlaps between the Rectangles (i.e. Min of B is less than Max of A)
//then we are detecting a collision between the rectangles on this Axis
if (aRectangleBMinimum <= aRectangleAMaximum && aRectangleBMaximum >= aRectangleAMaximum)
{
return(true);
}
else if (aRectangleAMinimum <= aRectangleBMaximum && aRectangleAMaximum >= aRectangleBMaximum)
{
return(true);
}
return(false);
}
/// <summary>
/// Determines if a collision has occurred on an Axis of one of the
/// planes parallel to the Rectangle
/// </summary>
/// <param name="theRectangle"></param>
/// <param name="aAxis"></param>
/// <returns></returns>
private bool IsAxisCollision(RotatedRectangle theRectangle, Vector2 aAxis)
{
//Project the corners of the Rectangle we are checking on to the Axis and
//get a scalar value of that project we can then use for comparison
List<float> aRectangleAScalars = new List<float>();
aRectangleAScalars.Add(GenerateScalar(theRectangle.UpperLeftCorner(), aAxis));
aRectangleAScalars.Add(GenerateScalar(theRectangle.UpperRightCorner(), aAxis));
aRectangleAScalars.Add(GenerateScalar(theRectangle.LowerLeftCorner(), aAxis));
aRectangleAScalars.Add(GenerateScalar(theRectangle.LowerRightCorner(), aAxis));
//Project the corners of the current Rectangle on to the Axis and
//get a scalar value of that project we can then use for comparison
List<float> aRectangleBScalars = new List<float>();
aRectangleBScalars.Add(GenerateScalar(UpperLeftCorner(), aAxis));
aRectangleBScalars.Add(GenerateScalar(UpperRightCorner(), aAxis));
aRectangleBScalars.Add(GenerateScalar(LowerLeftCorner(), aAxis));
aRectangleBScalars.Add(GenerateScalar(LowerRightCorner(), aAxis));
//Get the Maximum and Minium Scalar values for each of the Rectangles
float aRectangleAMinimum = aRectangleAScalars.Min();
float aRectangleAMaximum = aRectangleAScalars.Max();
float aRectangleBMinimum = aRectangleBScalars.Min();
float aRectangleBMaximum = aRectangleBScalars.Max();
//If we have overlaps between the Rectangles (i.e. Min of B is less than Max of A)
//then we are detecting a collision between the rectangles on this Axis
if (aRectangleBMinimum <= aRectangleAMaximum && aRectangleBMaximum >= aRectangleAMaximum)
{
return true;
}
else if (aRectangleAMinimum <= aRectangleBMaximum && aRectangleAMaximum >= aRectangleBMaximum)
{
return true;
}
return false;
}
/// <summary>
/// Check to see if two Rotated Rectangls have collided
/// </summary>
/// <param name="theRectangle"></param>
/// <returns></returns>
public bool Intersects(RotatedRectangle theRectangle)
{
//Calculate the Axis we will use to determine if a collision has occurred
//Since the objects are rectangles, we only have to generate 4 Axis (2 for
//each rectangle) since we know the other 2 on a rectangle are parallel.
List<Vector2> aRectangleAxis = new List<Vector2>();
aRectangleAxis.Add(UpperRightCorner() - UpperLeftCorner());
aRectangleAxis.Add(UpperRightCorner() - LowerRightCorner());
aRectangleAxis.Add(theRectangle.UpperLeftCorner() - theRectangle.LowerLeftCorner());
aRectangleAxis.Add(theRectangle.UpperLeftCorner() - theRectangle.UpperRightCorner());
//Cycle through all of the Axis we need to check. If a collision does not occur
//on ALL of the Axis, then a collision is NOT occurring. We can then exit out
//immediately and notify the calling function that no collision was detected. If
//a collision DOES occur on ALL of the Axis, then there is a collision occurring
//between the rotated rectangles. We know this to be true by the Seperating Axis Theorem
foreach (Vector2 aAxis in aRectangleAxis)
{
if (!IsAxisCollision(theRectangle, aAxis))
{
return false;
}
}
return true;
}