/**
* Checks whether another Quaternion is equal to this, within specified tolerance.
*
* @param Q The other Quaternion.
* @param Tolerance Error Tolerance.
* @return true if two Quaternion are equal, within specified tolerance, otherwise false.
*/
public override bool Equals(object Obj)
{
FQuat Q = (FQuat)Obj;
float Tolerance = Const.KINDA_SMALL_NUMBER;
return((FMath.Abs(X - Q.X) <= Tolerance && FMath.Abs(Y - Q.Y) <= Tolerance && FMath.Abs(Z - Q.Z) <= Tolerance && FMath.Abs(W - Q.W) <= Tolerance) ||
(FMath.Abs(X + Q.X) <= Tolerance && FMath.Abs(Y + Q.Y) <= Tolerance && FMath.Abs(Z + Q.Z) <= Tolerance && FMath.Abs(W + Q.W) <= Tolerance));
}
bool Equals(FRotator R, float Tolerance = Const.KINDA_SMALL_NUMBER)
{
return((FMath.Abs(NormalizeAxis(Pitch - R.Pitch)) <= Tolerance) &&
(FMath.Abs(NormalizeAxis(Yaw - R.Yaw)) <= Tolerance) &&
(FMath.Abs(NormalizeAxis(Roll - R.Roll)) <= Tolerance));
}
/**
* Get the length of this quaternion.
*
* @return The length of this quaternion.
*/
public float Size()
{
return((float)(FMath.Sqrt(X * X + Y * Y + Z * Z + W * W)));
}
/**
* get the axis and angle of rotation of this quaternion
*
* @param Axis{out] vector of axis of the quaternion
* @param Angle{out] angle of the quaternion
* @warning : assumes normalized quaternions.
*/
public void ToAxisAndAngle(out FVector Axis, out float Angle)
{
Angle = (float)(2.0f * FMath.Acos(W));
Axis = GetRotationAxis();
}
/**
* Euclidean distance between two points.
*
* @param V1 The first point.
* @param V2 The second point.
* @return The distance between two points.
*/
public static float Dist(FVector V1, FVector V2)
{
return((float)FMath.Sqrt((V2.X - V1.X) * (V2.X - V1.X) + (V2.Y - V1.Y) * (V2.Y - V1.Y) + (V2.Z - V1.Z) * (V2.Z - V1.Z)));
}
// Return true if this quaternion is normalized
public bool IsNormalized()
{
return(FMath.Abs(1.0f - SizeSquared()) < Const.THRESH_QUAT_NORMALIZED);
}
/**
* Calculates normalized version of vector without checking for zero length.
*
* @return Normalized version of vector.
* @see GetSafeNormal()
*/
public FVector GetUnsafeNormal()
{
float Scale = (float)(1.0f / FMath.Sqrt(X * X + Y * Y + Z * Z));
return(new FVector(X * Scale, Y * Scale, Z * Scale));
}
bool AllComponentsEqual(float Tolerance)
{
return(FMath.Abs(X - Y) <= Tolerance && FMath.Abs(X - Z) <= Tolerance && FMath.Abs(Y - Z) <= Tolerance);
}
/**
* Get the length (magnitude) of this vector.
*
* @return The length of this vector.
*/
public float Size()
{
return((float)FMath.Sqrt(X * X + Y * Y + Z * Z));
}
/**
* Get the length of the 2D components of this vector.
*
* @return The 2D length of this vector.
*/
public float Size2D()
{
return((float)FMath.Sqrt(X * X + Y * Y));
}
/**
* Get a copy of this vector with absolute value of each component.
*
* @return A copy of this vector with absolute value of each component.
*/
public FVector GetAbs()
{
return(new FVector(FMath.Abs(X), FMath.Abs(Y), FMath.Abs(Z)));
}
/** Gets the component-wise max of two vectors. */
public FVector ComponentMax(FVector Other)
{
return(new FVector(FMath.Max(X, Other.X), FMath.Max(Y, Other.Y), FMath.Max(Z, Other.Z)));
}
/**
* Get the minimum absolute value of the vector's components.
*
* @return The minimum absolute value of the vector's components.
*/
public float GetAbsMin()
{
return(FMath.Min(FMath.Min(FMath.Abs(X), FMath.Abs(Y)), FMath.Abs(Z)));
}
/**
* Get the minimum value of the vector's components.
*
* @return The minimum value of the vector's components.
*/
public float GetMin()
{
return(FMath.Min(FMath.Min(X, Y), Z));
}
/**
* Get the maximum value of the vector's components.
*
* @return The maximum value of the vector's components.
*/
public float GetMax()
{
return(FMath.Max(FMath.Max(X, Y), Z));
}