public static XMVector ClampLengthV(XMVector v, XMVector lengthMin, XMVector lengthMax)
        {
            Debug.Assert(lengthMin.Y == lengthMin.X, "Reviewed");
            Debug.Assert(lengthMax.Y == lengthMax.X, "Reviewed");
            Debug.Assert(XMVector2.GreaterOrEqual(lengthMin, XMGlobalConstants.Zero), "Reviewed");
            Debug.Assert(XMVector2.GreaterOrEqual(lengthMax, XMGlobalConstants.Zero), "Reviewed");
            Debug.Assert(XMVector2.GreaterOrEqual(lengthMax, lengthMin), "Reviewed");

            XMVector lengthSq         = XMVector2.LengthSquare(v);
            XMVector zero             = XMVector.Zero;
            XMVector reciprocalLength = lengthSq.ReciprocalSqrt();

            XMVector infiniteLength = XMVector.EqualInt(lengthSq, XMGlobalConstants.Infinity);
            XMVector zeroLength     = XMVector.Equal(lengthSq, zero);

            XMVector length = XMVector.Multiply(lengthSq, reciprocalLength);
            XMVector normal = XMVector.Multiply(v, reciprocalLength);

            XMVector select = XMVector.EqualInt(infiniteLength, zeroLength);

            length = XMVector.Select(lengthSq, length, select);
            normal = XMVector.Select(lengthSq, normal, select);

            XMVector controlMax = XMVector.Greater(length, lengthMax);
            XMVector controlMin = XMVector.Less(length, lengthMin);

            XMVector clampLength = XMVector.Select(length, lengthMax, controlMax);

            clampLength = XMVector.Select(clampLength, lengthMin, controlMin);

            XMVector result = XMVector.Multiply(normal, clampLength);

            // Preserve the original vector (with no precision loss) if the length falls within the given range
            XMVector control = XMVector.EqualInt(controlMax, controlMin);

            result = XMVector.Select(result, v, control);

            return(result);
        }
        public static XMVector LinePointDistance(XMVector linePoint1, XMVector linePoint2, XMVector point)
        {
            //// Given a vector PointVector from LinePoint1 to Point and a vector
            //// LineVector from LinePoint1 to LinePoint2, the scaled distance
            //// PointProjectionScale from LinePoint1 to the perpendicular projection
            //// of PointVector onto the line is defined as:
            ////
            ////     PointProjectionScale = dot(PointVector, LineVector) / LengthSq(LineVector)

            XMVector pointVector = XMVector.Subtract(point, linePoint1);
            XMVector lineVector  = XMVector.Subtract(linePoint2, linePoint1);

            XMVector lengthSq = XMVector2.LengthSquare(lineVector);

            XMVector pointProjectionScale = XMVector2.Dot(pointVector, lineVector);

            pointProjectionScale = XMVector.Divide(pointProjectionScale, lengthSq);

            XMVector distanceVector = XMVector.Multiply(lineVector, pointProjectionScale);

            distanceVector = XMVector.Subtract(pointVector, distanceVector);

            return(XMVector2.Length(distanceVector));
        }
 public static XMVector Length(XMVector v)
 {
     return(XMVector2.LengthSquare(v)
            .Sqrt());
 }
 public static XMVector ReciprocalLength(XMVector v)
 {
     return(XMVector2.LengthSquare(v)
            .ReciprocalSqrt());
 }