/////////////////////////////////////////
Vector2[] GenerateConvex()
{
var radius = Radius.Value;
var height = Height.Value;
var pointsSide = Math.Max((Edges - 2) / 2, 1) + 1;
var result = new Vector2[pointsSide * 2];
for (int n = 0; n < pointsSide; n++)
{
double factor = (double)n / (double)(pointsSide - 1);
var angle = factor * Math.PI;
if (Axis.Value == 0)
{
result[n] = new Vector2(height / 2, 0) + new Vector2(MathEx.Sin(angle), MathEx.Cos(angle)) * radius;
result[pointsSide + n] = new Vector2(-height / 2, 0) - new Vector2(MathEx.Sin(angle), MathEx.Cos(angle)) * radius;
}
else
{
result[n] = new Vector2(0, height / 2) + new Vector2(MathEx.Cos(angle), MathEx.Sin(angle)) * radius;
result[pointsSide + n] = new Vector2(0, -height / 2) - new Vector2(MathEx.Cos(angle), MathEx.Sin(angle)) * radius;
}
}
return(result);
}
/// <summary>
/// Determines whether the given sphere intersects the current instance of <see cref="ConeF"/>.
/// </summary>
/// <param name="sphere">The sphere to check.</param>
/// <returns>True if the given sphere intersects the current instance of <see cref="ConeF"/>; False otherwise.</returns>
public bool Intersects(SphereF sphere)
{
float sinAngle = MathEx.Sin(Angle);
float cosAngle = MathEx.Cos(Angle);
float invSin = 1.0f / sinAngle;
float cosSqr = cosAngle * cosAngle;
Vector3F cmv = sphere.Origin - Origin;
Vector3F d = cmv + (sphere.Radius * invSin) * Axis;
float lengthSqr = d.LengthSquared();
float e = Vector3F.Dot(d, Axis);
if (e > 0 && e * e >= lengthSqr * cosSqr)
{
float sinSqr = sinAngle * sinAngle;
lengthSqr = cmv.LengthSquared();
e = -Vector3F.Dot(cmv, Axis);
if (e > 0.0f && e * e >= lengthSqr * sinSqr)
{
float rSqr = sphere.Radius * sphere.Radius;
return(lengthSqr <= rSqr);
}
return(true);
}
return(false);
}
protected override void OnGetLocalPosition(Random random, out Vector3 result)
{
var a = random.Next(MathEx.PI * 2);
var r = MathEx.Sqrt(random.NextFloat()) * Radius;
result.X = (float)(random.NextFloat() * Height.Value - Height.Value / 2);
result.Y = r * MathEx.Cos(a);
result.Z = r * MathEx.Sin(a);
}
/////////////////////////////////////////
protected internal override IList <Fixture> CreateShape(Body body, Transform shapeTransform, List <Vector2> rigidBodyLocalPoints)
{
if (shapeTransform.IsPositionZero && shapeTransform.IsRotationIdentity)
{
var radius = Dimensions.Value * shapeTransform.Scale.ToVector2() * 0.5;
rigidBodyLocalPoints.Add(new Vector2(-radius.X, -radius.Y));
rigidBodyLocalPoints.Add(new Vector2(radius.X, -radius.Y));
rigidBodyLocalPoints.Add(new Vector2(-radius.X, radius.Y));
rigidBodyLocalPoints.Add(new Vector2(radius.X, radius.Y));
if (Math.Abs(radius.X - radius.Y) < 0.0001 && UseSmoothCircleWhenPossible)
{
return new Fixture[] { body.CreateCircle((float)radius.X, 0, new Microsoft.Xna.Framework.Vector2(0, 0)) }
}
;
else
{
return new Fixture[] { body.CreateEllipse((float)radius.X, (float)radius.Y, Edges, 0) }
};
}
else
{
var radius = Dimensions.Value * 0.5;
int edges = Edges.Value;
var points = new Vector2[edges];
for (int n = 0; n < edges; n++)
{
float angle = (float)n / (float)edges * MathEx.PI * 2;
points[n] = (shapeTransform * new Vector3(MathEx.Cos(angle) * radius.X, MathEx.Sin(angle) * radius.Y, 0)).ToVector2();
}
var r = Rectangle.Cleared;
foreach (var p in points)
{
r.Add(p);
}
rigidBodyLocalPoints.Add(r.LeftTop);
rigidBodyLocalPoints.Add(r.RightTop);
rigidBodyLocalPoints.Add(r.LeftBottom);
rigidBodyLocalPoints.Add(r.RightBottom);
var vertices = new Vertices(points.Length);
foreach (var p in points)
{
vertices.Add(Physics2DUtility.Convert(p));
}
return(new Fixture[] { body.CreatePolygon(vertices, 0) });
}
}
/// <summary>
/// Similar to Mat3F.LookAt( direction, Vec3F.ZAxis ) with fix for vertical direction.
/// </summary>
/// <param name="direction"></param>
/// <returns></returns>
public static void FromDirectionZAxisUp(ref Vector3F direction, out QuaternionF result)
{
//SphereDir sphereDir = SphereDir.FromVector( direction );
//rotation = new Angles( 0, 0, MathFunctions.RadToDeg(
// -sphereDir.Horizontal ) ).ToQuat();
//rotation *= new Angles( 0,
// MathFunctions.RadToDeg( sphereDir.Vertical ), 0 ).ToQuat();
float horizontal;
float vertical;
{
horizontal = MathEx.Atan2(direction.Y, direction.X);
float dir2Length = MathEx.Sqrt(direction.X * direction.X + direction.Y * direction.Y);
vertical = MathEx.Atan2(direction.Z, dir2Length);
}
//Quat horizRotation;
float horizRotationZ;
float horizRotationW;
{
float a = -horizontal * .5f;
horizRotationZ = -MathEx.Sin(a);
horizRotationW = MathEx.Cos(a);
//float sz = MathFunctions.Sin( a );
//float cz = MathFunctions.Cos( a );
//horizRotation = new Quat( 0, 0, -sz, cz );
}
//Quat vertRotation;
float vertRotationY;
float vertRotationW;
{
float a = vertical * .5f;
vertRotationY = -MathEx.Sin(a);
vertRotationW = MathEx.Cos(a);
//float sy = MathFunctions.Sin( a );
//float cy = MathFunctions.Cos( a );
//vertRotation = new Quat( 0, -sy, 0, cy );
}
result = new QuaternionF(
-horizRotationZ * vertRotationY, horizRotationW * vertRotationY,
horizRotationZ * vertRotationW, horizRotationW * vertRotationW);
//return horizRotation * vertRotation;
}
protected override void OnGetLocalPosition(Random random, out Vector3 result)
{
var u = random.NextFloat();
var v = random.NextFloat();
var theta = u * 2.0f * MathEx.PI;
var phi = MathEx.Acos(2.0f * v - 1.0f);
var r = MathEx.Pow(random.NextFloat(), 1.0f / 3.0f); //var r = Math.Cbrt( random.NextFloat() );
var sinTheta = MathEx.Sin(theta);
var cosTheta = MathEx.Cos(theta);
var sinPhi = MathEx.Sin(phi);
var cosPhi = MathEx.Cos(phi);
var x = r * sinPhi * cosTheta;
var y = r * sinPhi * sinTheta;
var z = r * cosPhi;
result = new Vector3F(x, y, z) * Radius;
}
/// <summary>
/// Converts the current instance of <see cref="AnglesF"/> into the equivalent <see cref="QuaternionF"/> structure.
/// </summary>
/// <returns>The equivalent <see cref="QuaternionF"/> structure.</returns>
public QuaternionF ToQuaternion()
{
float a;
a = MathEx.DegreeToRadian(Yaw) * .5f;
float sz = MathEx.Sin(a);
float cz = MathEx.Cos(a);
a = MathEx.DegreeToRadian(Pitch) * .5f;
float sy = MathEx.Sin(a);
float cy = MathEx.Cos(a);
a = MathEx.DegreeToRadian(Roll) * .5f;
float sx = MathEx.Sin(a);
float cx = MathEx.Cos(a);
float sxcy = sx * cy;
float cxcy = cx * cy;
float sxsy = sx * sy;
float cxsy = cx * sy;
return(new QuaternionF(cxsy * sz - sxcy * cz, -cxsy * cz - sxcy * sz, sxsy * cz - cxcy * sz, cxcy * cz + sxsy * sz));
}
/// <summary>
/// Calculates the cosine of each component of the specified vector.
/// </summary>
/// <param name="v">The specified vector.</param>
/// <returns>The vector which contains the cosines of the corresponding components in the specified vector.</returns>
public static Vector2F Cos(Vector2F v)
{
return(new Vector2F(MathEx.Cos(v.X), MathEx.Cos(v.Y)));
}
/// <summary>
/// Calculates the cosine of each component of the specified vector.
/// </summary>
/// <param name="v">The specified vector.</param>
/// <returns>The vector which contains the cosines of the corresponding components in the specified vector.</returns>
public static Vector4F Cos(Vector4F v)
{
return(new Vector4F(MathEx.Cos(v.X), MathEx.Cos(v.Y), MathEx.Cos(v.Z), MathEx.Cos(v.W)));
}
void RenderBackRectangle(ViewportRenderingContext context, Rectangle rectangle, ColorValue color)
{
var renderer = context.Owner.CanvasRenderer;
switch (BackStyle.Value)
{
case BackStyleEnum.Rectangle:
renderer.AddQuad(rectangle, color);
break;
case BackStyleEnum.RoundedRectangle:
{
var rect2 = rectangle.ToRectangleF();
var fontSize = GetFontSizeScreen(context);
var roundSize = new Vector2F(renderer.AspectRatioInv, 1) * (float)fontSize * 0.4f;
int steps = 16;
var list = new List <Vector2F>(steps * 4);
for (int n = 0; n < steps; n++)
{
var v = (float)n / (float)(steps - 1);
var angle = v * MathEx.PI / 2;
list.Add(rect2.LeftTop + new Vector2F(1.0f - MathEx.Cos(angle), 1.0f - MathEx.Sin(angle)) * roundSize);
}
for (int n = steps - 1; n >= 0; n--)
{
var v = (float)n / (float)(steps - 1);
var angle = v * MathEx.PI / 2;
list.Add(rect2.RightTop + new Vector2F(MathEx.Cos(angle) - 1.0f, 1.0f - MathEx.Sin(angle)) * roundSize);
}
for (int n = 0; n < steps; n++)
{
var v = (float)n / (float)(steps - 1);
var angle = v * MathEx.PI / 2;
list.Add(rect2.RightBottom + new Vector2F(MathEx.Cos(angle) - 1.0f, MathEx.Sin(angle) - 1.0f) * roundSize);
}
for (int n = steps - 1; n >= 0; n--)
{
var v = (float)n / (float)(steps - 1);
var angle = v * MathEx.PI / 2;
list.Add(rect2.LeftBottom + new Vector2F(1.0f - MathEx.Cos(angle), MathEx.Sin(angle) - 1.0f) * roundSize);
}
var vertices = new List <CanvasRenderer.TriangleVertex>(1 + list.Count);
var indices = new List <int>(list.Count * 3);
vertices.Add(new CanvasRenderer.TriangleVertex(rect2.GetCenter(), color));
foreach (var v in list)
{
vertices.Add(new CanvasRenderer.TriangleVertex(v, color));
}
for (int n = 0; n < list.Count; n++)
{
indices.Add(0);
indices.Add(1 + n);
indices.Add(1 + (n + 1) % list.Count);
}
renderer.AddTriangles(vertices, indices);
}
break;
}
}
/// <summary>
/// Calculates the cosine of each component of the specified vector.
/// </summary>
/// <param name="v">The specified vector.</param>
/// <returns>The vector which contains the cosines of the corresponding components in the specified vector.</returns>
public static Vector3F Cos(Vector3F v)
{
return(new Vector3F(MathEx.Cos(v.X), MathEx.Cos(v.Y), MathEx.Cos(v.Z)));
}
public void GetVector(out Vector3F result)
{
result.X = MathEx.Cos(Vertical) * MathEx.Cos(Horizontal);
result.Y = MathEx.Cos(Vertical) * MathEx.Sin(Horizontal);
result.Z = MathEx.Sin(Vertical);
}