Questions tagged [mathematics]

Mathematics questions deal with the arithmetic, geometry, calculus, formulae and other calculations used in the development of a game.

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WoW attack speed calculation

Reading up on attack speed calculations for World of Warcraft I noticed that the formula for attack speed is: Attack_speed = "current attack speed" / (("Percent increase or decrease" / 100) + 1 )...
31 views

Combining rotation (using Quaternion* Quaternion) doesn't work as expected [duplicate]

I have fragment of code that has to rotate the camera to the direction where my cursor is as below: float yaw = mouseSensitivity.x * Input.GetAxis("Mouse X"); float pitch = mouseSensitivity.y * -...
20 views

Calculate direction of object to intercept moving object between two points [duplicate]

Please have a look at this graphic: I need to calculate the direction of B in order to intercept Z between A1 and A2, if possible. Both, Z and B start at the same time. Can anyone help me with the ...
52 views

Should calculations be done on the CPU or GPU?

I'm currently learning OpenGL and it's become obvious that I can do most calculations on the CPU or the GPU. For example, I can do something like lightColor * objectColor on the CPU, then send it to ...
43 views

The Google Earth solution for panning in a 3D world

About a year ago I made a solution for panning and zooming in a 3D world (Three.js) using a formula provided by @DMGregory. Here is the post: How to panning camera on XZ axis with different angles ...
21 views

Get Closest point between a Box 3D and a Point

I have a point A (x, y, z), and a Box: Center (x, y, z), Size (Width, Height) How to get the closest point in the box from the point A ? In Unity I can create a bound, and I can find the non-rotated ...
47 views

How to find perpendicular line given a line?

I have two points that form 1 line. I want to find a point that creates a perpendicular line. Here is an image showing what I am looking for: How do I find the red point to form a perpendicular ...
22 views

Camera rotation to match UVs of a point across different FOV

I'm looking for the formula needed to calculate the amount of camera rotation required to display a point at the same UVs across two cameras with different FOVs. I can't modify the projection matrix ...
42 views

How can I find the offset rotation and position between two objects in 3D?

I have two objects in 3 dimensions, one of them (Child) is attached to the other one (Parent) using the offset between them (XYZ ...
104 views

How to calculate the reachable space of the end effector in an IK chain?

I have an array of points in a 2d worldspace and I want to calculate which points are reachable by the end effector of a limb controlled with a CCDIK chain (with rotation limits applied). It's a limb ...
25 views

How does displacement mapping generalize bump mapping?

This PDF discusses bump mapping, a special case of displacement mapping. A surface is represented as a function $\overrightarrow{O}\left(u,\,v\right):\:\Bbb R^2\mapsto\Bbb R^3$. In bump mapping, we ...
16 views

Find the direction a Projectile should be fired from a Moving Object to hit another moving Object?

I am trying to do a simple AI Controller, which fires Missiles at the surrounding targets in the Scene. The AI Controller can fire projectiles when moving or stationary. The Targets are either ...
46 views

How do I get an object to rotate in world space via RigidBody.AddTorque?

I'm getting really discouraged because I can't seem to figure how how to rotate my object via Rigidbody.AddTorque like it is on a figurative global turn table rather than a local turn table. Another ...
23 views

Calculating stopping distance while turning

I need to calculate the movement of an object that is slowing down to approach its destination while turning. Calculating the linear stopping distance and deceleration is straightforward. However if ...
98 views

Converting a table into a formula / equation

I need help to figure out the formula / equation or at least the growth rate based on this table. All I can see is that the base stat is 12 as STAT2 = 2 x base and STAT3 = 5 x base.
40 views

Camera Transition between 2 position / rotation, and follow a 3rd target

I have setup a transition of camera between 2 transform, here the result in video: https://youtu.be/rcwQ6KuEfMw I have the information of the 2 transform: - position (vector3) - rotation (Quaternion) ...
19 views

Converting a multidimensional array to a distance field

I've been working (as so many others before me have) on a small Voxel-type game prototype. So far, i have a 3d array (16 by 16 by 255 elements) that contains block ids - and as of right now, 0 means "...
23 views

Account for scale offset?

I have an odd situation where I know the position of an item on a mouse click and I know the panning state of a 2D camera pointing at it. So what I do is render an object at the point in which the ...
47 views

Quick way to approximate a truncated gaussian distribution?

I'm doing some procgen stuff and I need a truncated gaussian distribution. Basically, I need a way to get the same thing as this: ...
58 views

How to draw a string into a polygon? (Libgdx, Java)

I am working on a 2D grand strategy game (like Hearts of Iron from Paradox but as I said only 2D game) and I would like to render the area names on the map. I made the Polygons for each area. How can ...
40 views

How to calculate more precisely the position of the pupil in function of the eye ball and a direction?

I have a game in which I have an eye in a head that should always move towards a piece of food (or another piece of food). The head is moved by the player. The food has a fixed position (for some ...
21 views

Need help to find a way to make a image mapping

I need some help to find a way of creating a simple game in any language/software/technology. What I have to do is to map a png image in order to create a correct "path" for a player so he can make ...
19 views

Can I slightly rotate a 2D vector (UV Edge) to more closely reflect the corresponding 3d vector?

I'm trying to get the difference between the 3D angle of two connected edges and their corresponding angle in 2D (mesh to UV space). I would like to slightly rotate the angle in 2D to closer match ...
21 views

Clamp GameObject Into Isometric Camera Viewport

I'm using the next code to move an objecto into an isometric projection (30/45) ...
63 views

Modeling complex requirements for populating loot/drop tables

I have a set of items and a data structure that describes where and how those items may be dropped. I'm looking to implement a roguelike/randomizer element to the game and want to include the special ...
36 views

Mapping a Texture to a 2d Quadrilateral

I want to map a 2d picture onto an arbitrary 2d quadrilateral, for the purpose of particle system. To do that, I split the picture into two triangles, and then linearly interpolated u,v along the ...
57 views

Calculation of distance while switching between two speeds

There are two speed values, that are used by moving object. After a while speed switching occurs from V1 to V2. I need the formula that can be used for calculation of current distance (at specified ...
53 views

What´s wrong with my Frustum Culling implementation?

I´m struggling with a weird problem since hours. Ive implemented frustum culling with the help of online articles and a book. The problem is that the objects are not culled correctly. I´m using ...
23 views

Find optimal placement for label/sticker on a simple polygon with holes

I'm working on a real-time archviz renderer and I need to place a label/sticker/decal on walls, which have openings. So one way to think about this is a simple (possibly concave) polygon with holes. ...
111 views

Round to the nearest multiple of 0.75 in C#

How can I round a number to the nearest multiple of 0.75 in C# / Unity? The context is that I have a block and I want its position to be rounded at the nearest 0.75 multiple. For example: 0, 0.75, 1....
34 views

Unity3d: Find a point on the line which has shortest distance from the third point

So, initially, I had points A and C. To get point B, I had to shoot a raycast down from ...
27 views

Unity3D: Move the parent gameobject relative to the child

So, I have X and Y game objects. I have a vector Z = X - Y which is indicated by the green line. Also, I have a ...
171 views

Improve velocity obstacle calculation algorithm/performance

My goal My goal is to calculate the (velocity) obstacle that is imposed by unit B onto unit A. So I want to calculate the velocities from the center of unit A (circle) that will lead to a collision ...
116 views

How do I launch a ballistic projectile to hit a moving target, given: launch position & angle, target position & velocity?

This problem is in 3D space. My question is: How do you find the initial velocity of a projectile that flies under constant gravity, so that it hits a target moving with constant velocity, given the ...
67 views

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 ...
89 views

Make a bullet move towards the mouse position

Before you give me a link to another post look first, just in case. So I'm making a top down game where the person can shoot around, I want the bullets to move towards the mouse, I have tried this: <...
47 views

Unity3d: Position a gameobject such that its forms a right angled triangle with other two gameobjects

How do I position C gameObject such that it forms a right angled triangle with A and B. I tried to use ...
34 views

Raise/Lower Object Height Based on Distance, with Easing

I'm trying to make an indicator object appear higher up in the sky the farther away a player is, up to a certain distance. Basically, if the player is < 5 distance away, the object's height should ...
41 views

Unity3d: Find which gameObject is in front

I have two gameObjects A and B. They are rotated at <...
43 views

Force propagation through physic bodies constraints (as non-penetration)

First, some context I'm currently implementing a (well, tiny) game engine using a predictive approach. The idea is to compute when a state change will occur, and only update state at time of the ...
86 views

How Can I Load Ads Particular Level?

How Can I Apply Ads Different Level?? I Create A 40 Level, Ex: Level1 complete then load ads Interstitial Level2 complete then load ads Interstitial Level3 complete then load ads Rewarded Level4 ...
90 views

Unity3d: Get a direction vector parallel to plane

I need to send a raycast from my camera which is parallel to the plane (Ground) and in the same direction of its forward vector (Represented by the black color vector) I cant use world space ...
76 views

Calculating damage with damage mitigation/amplification curve/function

Let's say instance A is attacking instance B for N damage. I want to calculate the ideally expected damage if those instances have damage mitigation/amplification depending on target's current HP. ...
48 views

How to ensure my Sine Wave movement starts from the middle-line of the wave

I am trying to make an enemy for a space game which has Sine style movement. I pretty much have it working how I want, but right now I have to manually fiddle with the 't' value to make the wave ...
63 views

Calculate position given velocity and acceleration at a given timestep

I am following a Pixar course at Khan Academy and I came across a simulation of a double spring with a given timestep. I understand how it works and why it behaves the way it does, but I want to know ...
43 views

Wobble the y(up) axis of a circle

I wrote a script that moves a game object(w/ trail render) in a circular motion via the sin/cos functions ...
21 views

SmothStop Function doesn't work as expected

i'm trying to create a smothstop function i need it to control time variable on my lerp function used to move character and so on...what i have is this ...
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How to calculate score in my game based on playtime and coins picked?

I've been trying to figure out a way to calculate the score in my game.... but nothing seems to work properly... The score is to be calculated according to: playtime coins collected. The playtime ...