/// <summary>
/// Calculates the distance between two vectors
/// </summary>
/// <param name="value1">The first vector</param>
/// <param name="value2">The second vector</param>
/// <returns>The distance between the two vectors</returns>
public static float Distance(Vector4 value1, Vector4 value2)
{
float x = value1.X - value2.X;
float y = value1.Y - value2.Y;
float z = value1.Z - value2.Z;
float w = value1.W - value2.W;
return(Mathematics.Sqrt(x * x + y * y + z * z + w * w));
}
/// <summary>
/// Exponentiates a quaternion
/// </summary>
/// <param name="value">The quaternion to exponentiate</param>
/// <returns>The exponentiated quaternion</returns>
public static Quaternion Exponential(Quaternion value)
{
Quaternion result = new Quaternion();
float angle = Mathematics.Sqrt((value.X * value.X) + (value.Y * value.Y) + (value.Z * value.Z));
float sin = Mathematics.Sin(angle);
if (Mathematics.Abs(sin) >= 0f)
{
float coeff = sin / angle;
result.X = coeff * value.X;
result.Y = coeff * value.Y;
result.Z = coeff * value.Z;
}
else
{
result = value;
}
result.W = Mathematics.Cos(angle);
return(result);
}
/// <summary> /// Calculates the length of the quaternion /// </summary> /// <returns>The length of the vector</returns> public static float Magnitude(Quaternion value) => Mathematics.Sqrt(Mathematics.Pow(value.X, 2)) + Mathematics.Sqrt(Mathematics.Pow(value.Y, 2)) + Mathematics.Sqrt(Mathematics.Pow(value.Z, 2)) + Mathematics.Sqrt(Mathematics.Pow(value.W, 2));
/// <summary> /// Calculates the length of the vector /// </summary> /// <returns>May be preferred when only the relative length is needed and speed is of the essence</returns> public static float Magnitude(Vector4 value) => Mathematics.Sqrt(Mathematics.Pow(value.X, 2) + Mathematics.Pow(value.Y, 2) + Mathematics.Pow(value.Z, 2) + Mathematics.Pow(value.W, 2));
