} // Circle
#endregion
#region Polygon (static)
/// <summary>
/// Polygon.
/// The worldMatrix modify the point's position to the world matrix coordinate system.
/// </summary>
public static Curve3D Polygon(Matrix worldMatrix, float sideLenght, int sides, bool buildTangents)
{
Curve3D poly = new Curve3D();
float rotationAngle = (((((sides * 180) - 360) / sides) / 2) + 180);
for (int indexer = 0; indexer < sides; indexer++)
{
Vector3 coord = new Vector3((sideLenght * (float)Math.Cos(indexer * 2 * Math.PI / sides)), (sideLenght * (float)Math.Sin(indexer * 2 * Math.PI / sides)), 0);
if (sides % 2 == 0) // even
{
poly.AddPoint(Vector3.Transform(coord, worldMatrix), indexer);
}
else // odd
{
poly.AddPoint(Vector3.Transform(coord, worldMatrix * Matrix.CreateRotationZ(MathHelper.ToRadians(rotationAngle))), indexer);
}
}
poly.Close();
// Build tangents?
if (buildTangents)
poly.BuildTangents();
return poly;
} // Polygon
} // Polygon
#endregion
#region Hexagon (static)
/// <summary>
/// Hexagon.
/// The worldMatrix modify the point's position to the world matrix coordinate system.
/// </summary>
public static Curve3D Hexagon(Matrix worldMatrix, float sideLength = 50, bool buildTangents = true)
{
Curve3D hexagon = new Curve3D();
// Math things
float sl = sideLength;
float hs = sl / 2;
float ls = (float)Math.Sin((double)MathHelper.ToRadians(60)) * sl;
float h = (float)Math.Sin((double)MathHelper.ToRadians(15)) * hs;
// Coords generation
Vector3[] coords = new Vector3[6];
coords[0] = new Vector3(0, ls, 0);
coords[1] = new Vector3(hs, 0, 0);
coords[2] = new Vector3(hs + sl, 0, 0);
coords[3] = new Vector3(2 * sl, ls, 0);
coords[4] = new Vector3(hs + sl, 2 * ls, 0);
coords[5] = new Vector3(hs, 2 * ls, 0);
// Center in world matrix
worldMatrix = worldMatrix * Matrix.CreateTranslation(new Vector3(-sideLength, -(sideLength - h), 0));
// add Points
for (int indexer = 0; indexer < coords.Length; indexer++)
hexagon.AddPoint(Vector3.Transform(coords[indexer], worldMatrix), indexer);
hexagon.Close();
// Build tangents?
if (buildTangents)
hexagon.BuildTangents();
return hexagon;
} // Hexagon
} // SetCurveKeyTangent
#endregion
#region Circle (static)
/// <summary>
/// Circle
/// The worldMatrix modify the point's position to the world matrix coordinate system.
/// </summary>
public static Curve3D Circle(Matrix worldMatrix, float radius = 1, int numberOfPoints = 50)
{
Curve3D circle = new Curve3D();
for (float i = 0; i < 3.1416f * 2; i = i + (3.1416f / numberOfPoints))
{
float x = (float)Math.Sin(i) * radius;
float y = (float)Math.Cos(i) * radius;
circle.AddPoint(Vector3.Transform(new Vector3(x, y, 0), worldMatrix), i);
}
circle.Close();
circle.BuildTangents();
return circle;
} // Circle