| public static Cos ( float x ) : float | ||
| x | float | Angle to get the cosine of. |
| return | float | |
/// <summary>
/// Rotates the specified vector counter-clockwise around its origin
/// by the specified angle in radians.
/// </summary>
/// <remarks>
/// See http://stackoverflow.com/questions/4780119/2d-euclidean-vector-rotations for details.
/// </remarks>
/// <param name="v">Vector to rotate.</param>
/// <param name="theta">Angle to rotate by, in radians.</param>
/// <returns>Rotated vector.</returns>
public static Vector2F Rotate(Vector2F v, float theta)
{
var cos = Angle.Cos(theta);
var sin = Angle.Sin(theta);
var newX = v.X * cos - v.Y * sin;
var newY = v.X * sin + v.Y * cos;
return(new Vector2F(newX, newY));
}
/// <summary>
/// Height of a projectile with initial velocity <paramref name="v" /> launched at angle
/// <paramref name="theta" /> in radians after it has traveled distance <paramref name="x" />.
/// </summary>
/// <param name="x">Position to get the projectile height at.</param>
/// <param name="theta">Projectile launch angle.</param>
/// <param name="v">Initial projectile velocity.</param>
/// <returns>Projectile height after the specified distance.</returns>
public static float Height(float x, float theta, float v)
{
return(x * Angle.Tan(theta) - ((G * (x * x)) / (2 * MathF.Pow(v * Angle.Cos(theta), 2))));
}
/// <summary>
/// Orthogonally projects <paramref name="v" /> onto a straight line
/// parallel to <paramref name="w" />.
/// </summary>
/// <remarks>
/// See https://en.wikipedia.org/wiki/Vector_projection for details.
/// </remarks>
/// <param name="v">Vector to project.</param>
/// <param name="w">Vector to project onto.</param>
/// <returns>Projected vector.</returns>
public static Vector2F Project(Vector2F v, Vector2F w)
{
return(v.Length * Angle.Cos(Angle.Between(v, w)) * w.Normalize());
}