angle

I've already asked this question in a different way here; Swift-Setting a physics body velocity by angle but the three attempts to answer it were unfortunately not exactly what I'm looking for, although I'm grateful for what they taught me anyway. I decided that I should simply rephrase my question with an example and further explanation instead of perpetuating a discussion via comments. So here it is. Imagine I have an SKNode positioned in the centre of the screen. Let's say this is a ball, so any rotation action on it is not visible. I would need a way to have a random angle selected, and

I am trying to implement a script to analyze some of my data. I have position information for three points (p1,p2,p3). I would like to find the angular displacement of point p3 from the vector p1p2, as in this picture: p3a, p3b, p3c, p3d show possible relative positions for p3. As shown, I would like the sign of the output angle to describe its relative position to vector p1p2. The code I am using is as follows (adapted to the diagram): v1 = p2 - p1; x1 = v1(1); y1 = v1(2); v2 = p1 - p3; x2 = v2(1); y2 = v2(2); angle = atan2d(x1*y2-y1*2,x1*x2+y1*y2); This works as desired when p3 is at p3a,

I'm sorry if this question seems a really basic, but I cannot find a good answer online yet. I'm a little confused with vectors and how to use them in matlab. At the moment I have the following three pair of coordinates (x and y): Person 1, The future location of Person 1 and Person 2. See: The three points in a 2d view Now I want to calculate the angle between "the vector which goes from person 1 to person 2" and "the vector from person 1 to person 1 future". I've found some matlab functions which could do this with the vectors, but I am not sure I am actually using the right input for each

So there's a couple methods in the Android SensorManager to get your phone's orientation: float[] rotational = new float[9]; float[] orientation = new float[3]; SensorManager.getRotationMatrix(rotational, whatever, whatever, whatever); SensorManager.getOrientation(rotational, orientation); This gives you a rotation matrix called "rotational" and an array of 3 orientation angles called "orientation". However, I can't use the angles in my AR program - what I need is the actual vectors which represent the axes. For example, in this image from Wikipedia: I'm basically being given the α, β, and γ

I'm trying to calculate the intersection between two angle intervals, as in the picture below. Unfortunately, the branch at -pi is making the code much uglier than I have hoped. Here is my first draft. Note that I have not tested this code for correctness, but rather have just gone through the scenarios in my head. As you can see in the function branchify , angle intervals are constrained such that from (p)a1 -> (p)a2 counter-clockwise, the difference is at most pi. In otherwise, the intervals are defined by the smallest difference in angle. [a1, a2] is the first interval, [pa1, pa2] the

For a 3D game engine I'm working on I need to calculate if two 3D triangles are on the same plane to display it accordingly. How do I calculate the angles of a triangle in 3D space? Would calculating a surface normal and comparing those ever give me 2 equivalent normals? Why do you want to do that? What is the number of triangle you expect to test? It seems a little bit complex for a real time rendering algorithm! Anyway: Compute the normal n of the triangle. Then compute the plane equation: a.x + b.y + c.z + d = 0 with (a,b,c) being your triangle normal and d = - dot(n,P) (P is one of your

With reference to this programming game I am currently building. I am using WPF to animate canvases, and I am using the BeginAnimation method to translate (move) a canvas across another canvas. With the BeginAnimation, I need to specify the From and To coordinates for both x and y, and this is the method I am using this like such: //X Animator_Body_X.From = Translate_Body.X; //Current x-coordinate Animator_Body_X.To = //The end X-coordinate Translate_Body.BeginAnimation(TranslateTransform.XProperty, Animator_Body_X); //Y Animator_Body_Y.From = Translate_Body.Y; //Current y-coordinate Animator