Questions tagged [trigonometry]
A branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides.
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Getting the scalar speed from an X and Y velocity [duplicate]
Given a Vector2(x,y) that represents an object's velocity, like so:
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How do I determine which pixel is under the cursor when looking at an equirectangular image through a camera?
I am working on a game. The camera is freely rotatable by the user. The background is displayed from an equirectangular image. I need to know which pixel of the background image is located under the ...
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How can i move actor's bounding box center in relative location in Unreal Engine 5?
This is my situation. I need align the center of the object (it's box) and the center of the scene component. I have only center of the box TVector type or FVector. How can i do it?
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Calculation of far distance plane based on yaw and pitch for a map renderer
I'm working on a vector map renderer. I want to calculate the far plane for a protective transformation, based on the yaw, pitch, roll and height of the camera above the map. Yaw (looking to the left ...
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How to overshoot with direction_to
I've managed to get my sprite enemies shoot at the player with
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Well tuned orbit camera
I have been trying to make an orbit camera using glfw. I got a working solution which is as in the following.
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rotating a sprite with mouse cursor
i am learning how to make a 2d game using sdl and c++ and am currently trying to rotate the sprite so that is always facing the cursor, my game is set up with an entity component system, i have a ...
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How do I calculate the position and rotation where 3 given vectors would intersect 3 given points
I have 3 normalized directional vectors and 3 points.
The 3 vectors are all attached to the same object, and I would like them to keep their angles relative to each other.
I want to find a location ...
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How do I find two points on opposite sides of a circle where the angle of the first point's position is a percent of the whole circle?
I am trying to simulate sunrise/sunset with a linear gradient. I want the gradient to rotate around a circle whose diameter is the width of the screen with the center point being the very bottom ...
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How do I determine parallax scroll factor?
Implementing parallax scrolling is easy enough. This question is about improving its presentation.
Hand-tuning some parallax scroll factors on multiple layers works, but parallax scrolling is meant to ...
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Finding the center of rotation in 3d knowing the start/end transformations
I need your help to solve a trigonometry problem, I'm unable to find any documentation about on the web...
For convenience, I will use "transform" to indicate a position+orientation.
Let's ...
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Using atan2 vs dot product to get an angle in 2D games
I have some confusion that I need to be cleared up about the atan2 function.
I am making a game in Godot where a 2D ship rotates to face some object in space by ...
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Is there a generic formula to determine the angle of deflection off of a rectangle?
I have a perfect 2D system, with no friction, elasticity, etc. A ball is colliding with a rectangle. I know the angle of the motion of the ball in degrees. I want to figure out how said angle will ...
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How do I calculate the direction of an object relative to the another object's view
Here is a diagram of what I'm looking for:
I am trying to find the math solution to determine where that smaller circle is relative to the bigger circle's view.
I thought that the easiest way would ...
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How to rotate parent object to align child rotation with a separate game object?
I have attached two images with the desired start and end positions.
The Brown Circle is the target rotation. The Orange Square is the parent (the black dot is the pivot point) and the Blue Rounded ...
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Tangent Space View Direction based factor value remap
I'm trying to setup a mask similar to what Fresnel produces. Unfortunately Fresnel gives pretty bad results at grazing angles so I ended up using this :
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reposition object in circle
As you can see on the image, I have a p1 and p2 objects with (x,y) coordinates which I know the values, and I know radius of all these circle objects.
However, I want to calculate new position x,y ...
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Moving Object "in or out" along the z axis using Sin(time) or Cos(time)
I am new to game development, and I have successfully moved an object in the x and y directions using Mathf.Sin(x) and Mathf.Cos(x). But I'm unable to move same object in the z-direction (in or out).
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Is there an algorithm for a Joystick class that happens to be engine/framework independent?
I need to be able to get the given input's distance inside the joystick, bounded within -100% and 100% and an unbounded version of it, get the position of where the mouse's position projects to the ...
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Need help on finding the algorithm for getting the FlipX, Y and TextureRotation of my DirectionalAnimation class
I've created a class called DegreeAnimation, which is basically an implementation of my CustomAnimation class, but works with other directions, there are 2 constructors for this class, one where the ...
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Trigonometry to move an arm around axis in 3D space
Hello I have a question about rotating a Rod hinged to a fixed point (so it swings all around), and targets. short form, I would like to know how to find a rotation that would point my rod (while ...
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Could you explain how this GameObject rotating around another GameObject works?
I'm just learning Unity and I follow a tutorial for a simple game which I want to build up from.
I'm already mostly done with the course and at the end a "boss enemy" gets implemented.
Its ...
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Pygame : problem with calculating an angle between two points
I've been struggling to calculate the angle alpha between an object and a certain point M so that I can move that object to M.
To calculate alpha, I'm using ...
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How to decay sine or cosine wave so it takes one additional period to reach equilibrium
In many shmups, when enemies arrive, they accelerate onto screen, decelerate, and overshoot their static arrival position slightly, before backing up slowly to the position. This can be seen in many ...
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How to find if a Ray intersects a Triangle Clockwise or Counter Clockwise
I have a Triangle with an intersecting Ray.
How can I find out if the triangle's vertices are in a clockwise or counter clockwise rotation order with respect to the Ray?
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How to unfold a spiral of balls?
I have a spiral made of balls. It's a spiral with equally distributed balls using the following formula (see link on math.stackexchange).
This is how it looks like:
Now, the spiral is rolling ...
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How to add zombie arms to enemies in HTML canvas
I'm making a game with HTML canvas (not WEBGL). I have zombies that go to the center of the screen, but for now they are just circles. I want to give them two arms, like the arms players have in ...
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Any fast alternative to sine in GLSL?
Should I just use the built-in sin() function or my custom sine function?
I'm concerned about performance here. I don't care about accuracy much here because I use it to just get wave effects in my ...
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Get direction vector of camera in voxel game
I am currently working on a Minecraft clone (a voxel game). The feature I'm working on is the ability to break blocks. I have a ray-casting/ray tracing algorithm for traversing the voxels, but the ...
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Position Object always at the same distance of 2 other moving Objects?
I am making a procedural animation of a worm. I have already something working:
(the green dot is the position Target, purple and red are the Head and the Tail of the Worm)
I would like to add ...
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When are oblique triangles used in game development?
I'm working on a project that explains how trigonometry is used in video games, and I need to mention oblique triangles.
However, as far as I know, only right triangle diagrams are used in video games ...
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space map generation
I am at the beginning of the creation of a space 4x and first of all i need to generate a galaxy of stars linked by connecting lines that changes in each new game, I'll add a few pictures to show what ...
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Convert GPS coordinates into Unity world space?
I am developing an AR application where a number of historical buildings are spawned around the player depending on his position when a target / QR Code is recognized.
I know the Lat/Lon of these ...
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How To Place Object On Ground Within Radius?
I'm using Unity and I'm building an object placement system where you'll be able to position objects around the player.
I'd like to place objects flush with the ground, parallel to world up, even on ...
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3d points to rotation matrix of orientation
I have a vector in a 3D view, defined by a point p1(x1, y1, z1) and a rotation r1(x1, y1, z1). I can get a direction and a yaw. I need that vector to point another point p2 (x2, y2, z2). So I need a ...
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Arc length between two angles
As I calculate the length of the arc (green) between two angles;
I need a method like:
arc_lenght (xpos, ypos, radius, ang1, ang2) {
return arc_lenght
}
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Pong paddle and deflection angles
I'm trying to make a pong clone and am having trouble grasping ball deflection. The way I'm approaching it is to increase the angle by how far the ball collides from the middle of the paddle. However, ...
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Why are rotations in 2D game engines often counter-clockwise = positive systems?
I was looking over the API for a game engine a friend was developing in her spare time. She made the decision to make positive angles rotate in a clockwise direction. This immediately struck me as odd....
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SIMD and Inverse Tangent
I'm calculating spherical UV coordinates in a loop, trying to get GCC to vectorize the code.
Here's a compile-able example of what it looks like.
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Triangular Metric
Given a point inside a unit equilateral triangle, how does one rotate it across the triangle perimeter? I.e. the triangle outline serving the same purpose as circle's circumference. That is actually a ...
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I need help with calculating the angle my character is aiming at
So im doing this program where i want my hero to shoot to the direction its facing , but for this job to get done i need to calculate the angle my hero is facing with Math.atan2() , atleasts thats ...
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Adding spread to velocity Vector3D
I am trying to give an object a velocity spread (e.g. shotgun bullets or particle effect).
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How to get the Javascript equivalent of GameMaker's `hspeed` and `vspeed` given only `direction` and `speed`?
I'm using a NodeJS server to control NPC movement in a multiplayer game, and when they get too close to the edge of the room I need to reverse either the horizontal or vertical components of their ...
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Sum of FoV enemies
so what I need is to calculate the sum of players' Field of view.
Put simple, In a 2d space, I want to check how much they cover (in degrees).
So here are a couple of use cases to explain by example:
...
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Camera LookAt position with fixed screen position
I have a perspective "lookAt-type" camera. I'm trying to compute specific focus point of the camera, which should be placed in the middle of the screen: I also have a custom 3d point in world space, ...
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Finding Closest of 8 Possible Angles to Theta Value
I'm working on creating a gesture recognition system, and I saw one simple implementation that isn't as accurate, but is really easy to implement. The idea is that you have a unit circle with the 8 ...
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How to panning camera on XZ axis with different angles
I have an Orthographic camera where the position is { x:0, y:100, z:0 } and is pointing/looking at { x:0, y:0, z:0 }. At this ...
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Why does the first red-zone sometimes appear too close to the border in my battle-royale red-zone feature?
The Problem:
If you've ever played or watched some gameplay of a battle royal game (like PUBG, for example), you'll always find an event during any battle called the red zone.
Basically, at a ...
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Combine rotation XZ (horizontal) with YZ (vertical). Math formula
I'm trying to make a rotation vertically and horizontally around a point at the same time but I'm not able to combine both.
I have this formula for the horizontal rotation:
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