protected void InitializeMatrices()
{
scaleMatrix = Matrix.Scaling(new Vector3(scale, 0f));
positionMatrix = Matrix.Translation(new Vector3(position, 0));
originMatrix = Matrix.Translation(new Vector3(-origin, 0));
rotationMatrix = Matrix.RotationZ(MathUtil.DegreesToRadians(degrees));
}
internal override List <PolygonPoint> GetPoints(float thickness = 0)
{
List <PolygonPoint> points = new List <PolygonPoint>();
int arcSides = (int)Math.Round((arcDegrees / 360f) * sides, MidpointRounding.AwayFromZero);
int halfArcSides = arcSides / 2;
float offsetDegrees = MathUtil.RadiansToDegrees((float)Math.Tan(thickness / radius));
float degreeStep = (arcDegrees - offsetDegrees) / arcSides;
float r = radius - thickness * 0.5f;
float t = thickness - (thickness * (arcDegrees / 180)) / 2;
points.Add(GetPoint(0, t));
for (int i = -halfArcSides; i <= halfArcSides; i++)
{
points.Add(GetPoint(degreeStep * i, r));
}
if (!Filled)
{
points.Add(points[0]);
}
return(points);
}
private PolygonPoint GetPoint(float degrees, float radius)
{
float radAngle = MathUtil.DegreesToRadians(degrees) - MathUtil.PiOverTwo;
double x = Math.Cos(radAngle) * radius;
double y = Math.Sin(radAngle) * radius;
return(new PolygonPoint(x, y));
}
/// <summary>
/// Returns the degrees of angle A in a triangle using the law of cosines.
/// </summary>
/// <param name="A">Position of A.</param>
/// <param name="B">Position of B.</param>
/// <param name="C">Position of C.</param>
public static float Angle(Vector2 A, Vector2 B, Vector2 C)
{
float lenA = Vector2.Distance(B, C);
float lenB = Vector2.Distance(A, C);
float lenC = Vector2.Distance(A, B);
float tmpAngle = ((lenB * lenB + lenC * lenC - lenA * lenA) / (2 * lenB * lenC));
float radianAngle = (float)Math.Acos(tmpAngle);
return(MathUtil.RadiansToDegrees(radianAngle));
}
private Vector4 GetWeights(float altitude)
{
Vector4 weights = new Vector4(1);
weights.X = MathUtil.Clamp((-altitude + 40) / 20, 0, 1);
weights.Y = MathUtil.Clamp(Math.Abs(altitude - 75) / 40, 0, 1);
weights.Z = MathUtil.Clamp(Math.Abs(altitude - 175) / 80, 0, 1);
weights.W = MathUtil.Clamp((altitude - 350) / 50, 0, 1);
weights.Normalize();
return(weights);
}
public PTriangle(Vector2 a, float lengthAB, float angleB, uint thickness) : base(thickness)
{
if (angleB >= 180)
{
throw new ArgumentException("Angle cannot be greater than or equal to 180.");
}
this.position = a;
this.a = a;
this.b = new Vector2(a.X + lengthAB, a.Y);
this.c = b + RadianToVector(MathUtil.DegreesToRadians(angleB) - MathUtil.PiOverTwo) * lengthAB;
}
public override bool Intersects(float x, float y)
{
float distX = x - TransformedPosition.X;
float distY = y - TransformedPosition.Y;
float radius = this.radius * TransformedScale.X;
float distSquared = (distX * distX) + (distY * distY);
float radiusSquared = radius * radius;
if (thickness > 1)
{
float t = thickness * TransformedScale.X;
float innerRadiusSquared = (radius - t) * (radius - t);
if (distSquared <= radiusSquared && distSquared > innerRadiusSquared)
{
return(true);
}
}
else if (distSquared <= radiusSquared)
{
float radians = (float)Math.Atan2(distY, distX) + MathUtil.Pi;
float angle = MathUtil.RadiansToDegrees(radians) - TransformedDegrees;
if (angle < 0)
{
angle += 360;
}
// TODO: Pre-compute left and right angles
float leftAngle = arcDegrees * 0.5f;
float rightAngle = leftAngle + arcDegrees;
//Console.WriteLine("TransformedDegrees: " + TransformedDegrees);
//Console.WriteLine("Angle between: " + angle);
//Console.WriteLine("left: " + leftAngle + ", right: " + rightAngle);
if (angle < leftAngle || angle > rightAngle)
{
return(false);
}
//Console.WriteLine("intersects");
return(true);
}
return(false);
}
internal override List <PolygonPoint> GetPoints(float thickness = 0)
{
List <PolygonPoint> points = new List <PolygonPoint>();
float degreeStep = 360f / sides;
float r = radius - thickness;
for (int i = 0; i < sides; i++)
{
float radAngle = MathUtil.DegreesToRadians(degreeStep * i);
double x = Math.Cos(radAngle) * r;
double y = Math.Sin(radAngle) * r;
points.Add(new PolygonPoint(x, y));
}
if (!Filled)
{
points.Add(points[0]);
}
return(points);
}