/// <summary> Finds point the edge of the rectangle nearest to the specified point. </summary>
/// <param name="target">The target point.</param>
/// <param name="closestEdgePoint">Point the edge of the rectangle nearest to the specified point.</param>
public void ClosestEdgePoint(ref Vector2 target, out Vector2 closestEdgePoint)
{
float x, y;
NumberTools.Clamp(ref target.X, ref Min.X, ref Max.X, out x);
NumberTools.Clamp(ref target.Y, ref Min.Y, ref Max.Y, out y);
float dl = Math.Abs(x - Min.X);
float dr = Math.Abs(x - Max.X);
float dt = Math.Abs(y - Min.Y);
float db = Math.Abs(y - Max.Y);
float m = Math.Min(Math.Min(Math.Min(dl, dr), dt), db);
if (m.NearlyEquals(dt))
{
closestEdgePoint.X = x;
closestEdgePoint.Y = Min.Y;
}
else if (m.NearlyEquals(db))
{
closestEdgePoint.X = x;
closestEdgePoint.Y = Max.Y;
}
else if (m.NearlyEquals(dl))
{
closestEdgePoint.X = Min.X;
closestEdgePoint.Y = y;
}
else
{
closestEdgePoint.X = Max.X;
closestEdgePoint.Y = y;
}
}
/// <summary>Initializes a new instance of the <see cref="BoundingRectangle"/> struct.</summary>
/// <param name="minX">The lower bound on the X axis.</param>
/// <param name="minY">The lower bound on the Y axis.</param>
/// <param name="maxX">The upper bound on the X axis.</param>
/// <param name="maxY">The upper bound on the Y axis.</param>
public BoundingRectangle(float minX, float minY, float maxX, float maxY)
{
NumberTools.Sort(ref minX, ref maxX, out minX, out maxX);
NumberTools.Sort(ref minY, ref maxY, out minY, out maxY);
Max.X = maxX;
Max.Y = maxY;
Min.X = minX;
Min.Y = minY;
}
public static bool TryParse(string source, out Line result)
{
bool validParse = NumberTools.ParseVectorAndNumber(source, out result.Normal, out result.D);
if (validParse)
{
return(true);
}
result = Zero;
return(false);
}
public static bool TryParse(string source, out BoundingCircle result)
{
bool validParse = NumberTools.ParseVectorAndNumber(source, out result.Center, out result.Radius);
if (validParse)
{
return(true);
}
result = Zero;
return(false);
}
public static bool TryParse(string source, out BoundingRectangle result)
{
bool validParse = NumberTools.ParseTwoVectors(source, out result.Min, out result.Max);
if (validParse)
{
return(true);
}
result = Empty;
return(false);
}
public static bool TryParse(string source, out LineSegment result)
{
bool validParse = NumberTools.ParseTwoVectors(source, out result.Start, out result.End);
if (validParse)
{
return(true);
}
result = Zero;
return(false);
}
public static bool TryParse(string source, out Ray2D result)
{
bool validParse = NumberTools.ParseTwoVectors(source, out result.Origin, out result.Direction);
if (validParse)
{
return(true);
}
result = Zero;
return(false);
}
public void Intersects(ref Ray2D ray, bool discardInside, out float result)
{
Vector2 rayOriginRelativeToCircle2D;
Vector2.Subtract(ref ray.Origin, ref Center, out rayOriginRelativeToCircle2D);
var radiusSq = Radius * Radius;
var magSq = rayOriginRelativeToCircle2D.LengthSquared();
if ((magSq <= radiusSq) && !discardInside)
{
result = 0;
return;
}
var a = ray.Direction.LengthSquared();
Vector2 rayOriginRelativeToCircle2DTwice;
Vector2.Multiply(ref rayOriginRelativeToCircle2D, 2, out rayOriginRelativeToCircle2DTwice);
float b;
Vector2.Dot(ref rayOriginRelativeToCircle2DTwice, ref ray.Direction, out b);
var c = magSq - radiusSq;
float minus;
float plus;
if (NumberTools.TrySolveQuadratic(ref a, ref b, ref c, out plus, out minus))
{
if (minus < 0)
{
if (plus > 0)
{
result = plus;
return;
}
}
else
{
result = minus;
return;
}
}
result = -1;
}
public void Contains(ref BoundingRectangle rect, out Containment result)
{
float mag;
Vector2 maxDistance, minDistance;
Vector2.Subtract(ref rect.Max, ref Center, out maxDistance);
Vector2.Subtract(ref Center, ref rect.Min, out minDistance);
NumberTools.Sort(ref minDistance.X, ref maxDistance.X, out minDistance.X, out maxDistance.X);
NumberTools.Sort(ref minDistance.Y, ref maxDistance.Y, out minDistance.Y, out maxDistance.Y);
mag = maxDistance.Length();
if (mag <= Radius)
{
result = Containment.Contains;
}
else
{
mag = minDistance.Length();
result = (mag <= Radius) ? Containment.Intersects : Containment.Disjoint;
}
}
/// <summary>Clamps the given vector, so its coordinates will be within the specified bounds (inclusive).
/// </summary>
/// <param name="current">Vector to clamp.</param>
/// <param name="min">The minimum bound.</param>
/// <param name="max">The maximum bound.</param>
/// <param name="clamped">Clamped vector.</param>
public static void Clamp(ref Vector2 current, ref Vector2 min, ref Vector2 max, out Vector2 clamped)
{
NumberTools.Clamp(ref current.X, ref min.X, ref max.X, out clamped.X);
NumberTools.Clamp(ref current.Y, ref min.Y, ref max.Y, out clamped.Y);
}