In my opinion the code can be refactorized e.g. It's recommended to do one thing in one piece of a code (at line in this case) and also to don't repeat a code if not necessarily. Because the angles in a triangle sum to 180 degrees, on the picture is 90 and therefore the angle between lines q,t is also. in order to determine the angle in mentioned equation, first, you must obtain inner product of vectors as follows: a.ba b a x b x +a y b y+ a z b z. real 2D rotations act, they should commute: in other words, for example, Rv (30)Rv (60) should. My second note is about readibility and code style, which means you can ignore it completely :-) InputAziAngA = 360 - ((180 / Pi) * (Vector3dAngleBetweenVectors(LineA, AzimuthLine))) corresponding to rotation of all vectors by angle +. Threats and possible solutions of floating point math are described in different articles, here is one quite extensive series, specifically about comparing is this article.
To compare points and vectors MicroStation offers Point3dEqualTolerance and Point2dEqualTolerance methods, but if you want to compare only one coordinate, you should implement own function or to create points where the second coordinates will be zero and use the mentioned method. ang(v) Determines the angle between the X axis and vector v. 4 4 Write the Law of Cosines for this triangle. Draw a third vector between them to make a triangle. Angles are measured counterclockwise with respect to either the X axis, in the 2D case, or to a user-specified axis, in the 3D case. Sketch a pair of 2D vectors on paper, vectors and, with angle between them. In this particular case (I guess) the test can under some conditions tells the X coordinates are not equal, but the real difference will be so little, that even for MicroStation calculations the coordinates will be treated the same. The ang function determines the angle between two lines. The orthogonal case deals with the zero vector, and it is orthogonal to every vector because the zero vector dotted with anything is zero. angleBetween() Calculate and return the angle between two vectors. Often it doesn't cause serious problems, but if it appears, it can be troulesome and hard to find what is wrong. The calculator can be used for calculation of 2D and 3D vectors magnitudes and direction angles. The definition of perpendicular relies on the angle between the vectors being 90 degrees, and with the zero vector, there's no intuitive way of thinking about the angle. The datatype, however, stores the components of the vector (x,y for 2D, and x,y,z for. My first note is about comparison: If OriginPoint.X = PointEANA.X ThenĪ comparison (especially the test of equality) of floating point numbers is tricky, in fact you cannot do it reliably.
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