Questions tagged [mathematics]
Mathematics questions deal with the arithmetic, geometry, calculus, formulae and other calculations used in the development of a game.
1,990
questions
0
votes
0
answers
15
views
Texture space Raytracing of cylinder primitive in godot shader for Helix interception
I have been trying to do raytracing of an helix in a spatial shader in godot 4.2, but apparently I missed something because the result is bloby and melty at the cylinder level.
The basics is that I ...
- 327
0
votes
0
answers
48
views
How to calculate velocity based on force at an angle
I have a 2D top-down jetboat that is moving (has a x, y velocity). I apply the velocity by multiplying against the delta time <...
- 1
1
vote
1
answer
61
views
Mirroring a Character's Position In a Shadow After Rotating 180 Degrees
Description:
I am creating a 2.5D RPG.
When my character moves from left to right, they rotate 180 degrees to face the new direction. Just like this example.
They also have a blob shadow sprite that ...
- 188
11
votes
3
answers
3k
views
How hard to brake to perfectly smoothly reach the destination?
Goal
I want the get the required minimum deceleration to perfectly smoothly reach a target.
(The car's AI should know how hard it has to brake to be the perfect valet.)
Research
"How can I ...
- 213
0
votes
2
answers
65
views
How to rotate spaceship quaternion to face target direction with constant angular speed?
I have an enemy spaceship, and I want to make it turn to face the player with (for now) a constant angular speed. The ship's orientation is a quaternion. How do I do this?
Since this is totally free ...
- 111
1
vote
1
answer
67
views
How to calculate rotation needed to cancel out perspective shift
I have a direction vector that's pointing to (0,0,1) in local object space. How can I calculate rotation needed to rotate it on Y axis so that from camera's point of view it would look as if it's ...
- 13
0
votes
2
answers
109
views
Max velocity for smooth deceleration to destination
I am able to update velocity of my agent every 0.5 seconds. My agents max speed is 5f/s and max acceleration/deceleration is 2f/s.
I know how far away I am from the destination. How to determine ...
- 13
0
votes
0
answers
39
views
Camera (View) in Euler angles
This is code (below) from original game project (90s years), I it study now. Used fixed point math.
...
- 175
0
votes
0
answers
56
views
How to make calculating the inverse matrix more robust?
When I calculated the inverse matrix, I found that the error in using the float data type would cause the inverse matrix calculation error. Is there any good solution?
...
- 41
0
votes
1
answer
71
views
Software rendering - compose View matrix
There is function compose View Matrix, it's software rendering project. Used fixed point math. phd_sin() and phd_cos() user defined functions implement sin() and cos(). Please explain this ...
- 175
0
votes
1
answer
87
views
Normalized coordinates not translating to screen coordinates the way I need them to
I am making a simple game in C# using pictureboxes. I want to move a picturebox on a form. Once this picturebox is placed in a new location, I normalize its X,Y coordinates between [0, 1] and then ...
0
votes
1
answer
44
views
Checking if I am looking through a window using angles
I am developing a mod for a game with a Lua api.
I am trying to detect if I am looking through from behind a window when I shoot an enemy. For context, when I shoot through this window I apply a ...
- 1
0
votes
0
answers
39
views
Determining a direction/projection/heading for an object in 3D space after it has been rotated
I hope this is a good place to find an answer. I'm not a math wiz and I've tried to tackle this problem many times over the past decade or so.
I have a 3D space world, and I'm in a little space ship. ...
- 1
0
votes
2
answers
63
views
Calculate damage when attacker has bonus but defender has resist
Let's say an archer does base damage of 50. But their equipment provides +30% bow damage to make the damage ...
- 101
1
vote
2
answers
162
views
Calculate path segments size
I have a problem more closely described on a picture below.
The idea is that I have my agent in point A and I want to get to the point B. The problem is, that agents rotation towards point B is alpha ...
- 13
0
votes
1
answer
71
views
How to correctly instantiate a cube over another, or side-by-side another one
In a Minecraft spawn system like, I can't make works correctly following code.
Specifically, if I use Code 1 it works only when I instantiate a cube over another one, not one aside other. The ...
- 427
0
votes
1
answer
86
views
How does vector raised to the power of another vector work?
I was watching this tutorial and at timestamp 3:03 he did this:
This blows my mind because I didn't expect that to actually work, how the heck does that work ???? For example, if I have vector (2, 3, ...
- 107
-1
votes
1
answer
90
views
Angry Birds style aiming (ballistic trajectory)
Could you please provide guidance on how to create the curved part?
regard,
0
votes
1
answer
100
views
Min - Max Weapon Damage formula in video games
I currently working on an RPG game and I'm looking for are formula for creating/generating a min-max weapon damage for an item.
Why in Diablo for example, when a weapon is dropped from an enemy, the ...
- 3
0
votes
1
answer
29
views
Difference of angle by Y value
This code from game 90s years. For example on scene there is tiger as "item" and main character as "enemy". This code calculate vector or direction of attack tiger to main ...
- 175
-1
votes
1
answer
107
views
0
votes
2
answers
94
views
How to compute XP thresholds when scaling changes for each level range?
I am developing mobile game and I am stuck on an issue regarding proper player stats scaling based on level.
As a parameters for the computation we have:
base XP value
multiple increment values (for ...
- 1
0
votes
0
answers
60
views
Is this gimbal lock I'm hitting even with rotation matrices / quaternions?
I'm spawning a trigger box relative to another object using local offset. The engine I'm using does not provide a native function to make that conversion (at least in a way accessible to me), so I am ...
- 176
0
votes
0
answers
54
views
When does normalization happen in the perspective projection matrix
I am currently watching this video where the instructor shows how the perspective project matrix is actually derived.
There are a few things that I am still unclear of. Firstly he says we need to ...
0
votes
3
answers
161
views
Simulate Velocity For A Projectile Moving Along A Spline
I'm using Unity's latest Splines package(v2.5) to move a projectile across a spline with speed. It works perfectly and the projectile moves across the spline to it's target with linear speed.
But I'd ...
- 188
1
vote
1
answer
104
views
How to properly split damage against armor?
I am developing a third-person shooting style game and I want to implement an armor system. The system that I have envisioned does not reduce the damage to 0, but by half. So the incoming damage is ...
- 113
0
votes
1
answer
132
views
Inconsistent Speed Of A Projectile Traveling On A Bezier Curve
What I'm doing:
I'm moving a projectile to it's target along a Bézier curve with one control point.
The projectile moves from Transform A to ...
- 188
2
votes
2
answers
134
views
Calculating average ttk given accuracy and healing
I'm trying to calculate the expected ttk for weapons in my game but I'm having trouble because players can miss and enemies can heal.
Let's say an enemy has 100 health and every second you have a \$p\$...
0
votes
4
answers
143
views
How to tell whether an expression is independent from frame rate?
I'm working on a videogame where part of the logic involves increasing a value each render frame (a render frame is equivalent to a simulation step where the result is drawn on the screen).
Frames can ...
- 133
0
votes
0
answers
56
views
Determining meters per second in scaled terrain
I have a terrain with a width of 199 and height of 99 and I'm scaling this train by 500. What would be 1 meter in the new terrain, would it be 500? I'm trying to move my character in meters per second ...
- 1
0
votes
1
answer
133
views
Test if a point is inside a 3D cuboid, given the 8 corner positions, through code
I'm trying to find to obtain if a point, let's call it "v" is inside a cuboid which every corner position named P1 to P8
I am trying to achieve this and in fact found some answers in some ...
- 121
0
votes
2
answers
109
views
Euler Angle X is wrong after using Quaternion.LookRotation
I have an direction that I want the local player hub & camera to rotate at.
The game handles this by using euler angles which Y represents the hub rotation on the horizontal axis & X ...
- 3
0
votes
0
answers
32
views
Raycaster rotation problem
I am following lodevs tutorial on Raycasting https://lodev.org/cgtutor/raycasting.html.
I was kinda successfull but for some reason while implementing a 2D Topdown view of the map and the player i ...
- 1
0
votes
3
answers
191
views
A good genetic system?
I was trying to come up with a genetic system for my game. However, after doing the math I found the system I had in mind won't really work.
Characters have 5 stats that can range from 0 to 12. What I ...
user175083
0
votes
2
answers
249
views
How do I use these Unity math functions in Godot C#?
Here's a list of math functions I'm having trouble finding a direct function match for in Godot C#:
...
- 145
1
vote
1
answer
76
views
Adaptation of values from previous constant frame rate to new constant frame rate
I'm trying to learn how to adapt my old values to new values. First of all, I don't use delta time at all. My game has lock with 30 FPS and I want to lock it with 60 FPS, I wrote all my values in ...
- 11
1
vote
1
answer
107
views
Twin-stick backwards tank movement
I'm creating a 3D twin-stick tank game in Godot with C#. I have created the tank movement and rotation, separate of its turret, and it seems to be working properly.
The issue: I want the body of the ...
2
votes
1
answer
209
views
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 ...
- 123
1
vote
1
answer
98
views
Vertex Shader Sphere Projection and CPU Distance Calculation
I have multiple planes whose vertices are transformed to a position on a sphere in the vertex shader. The GLSL function called pointToSphere transforms a point <...
- 83
0
votes
0
answers
36
views
Missing tiles when rendering an isometric Staggered tilemap in Unity
I'm trying to show tiles on an isometric staggered tilemap in Unity, but some tiles are missing. I think the problem might be with where I'm placing the tiles or some floating-point precision issues.
...
- 1
0
votes
1
answer
73
views
How to calculate angular momentum of two colliding bodies about their shared center of mass in 2D?
I'm following this guide to implementing collisions in 2D physics.
It shows this diagram, but I don't understand how to calculate the values of Da and ...
- 41
0
votes
0
answers
150
views
Finding loss of angle and length due to rotation
I'm working on a targeting system for my 2d game. But I want to see the object in isometric perspective. My calculation is correct for 2d objects but it doesn't work for rotated in x axis objects.
I ...
- 1
1
vote
4
answers
265
views
Why should a game include a range of possible damage values per hit?
I’m asking this because this reminds me of critical hits, preventing battles from being too predictable, BUT if I already have crits… why would I have damage ranges?
Especially in action games, there’...
- 11
1
vote
1
answer
807
views
How to compare a vector to a rotation in Godot 4.1?
The Context
In Godot 4.1, I have a third-person character controller. It's a CharacterBody3D with a child Node3D called PlayerContent. The visual components of the character (model, etc.) are all ...
- 163
0
votes
0
answers
28
views
Isometric camera lookat
I'm trying to make my isometric camera follow my player or lookat any other object
projection matrix is
...
2
votes
2
answers
161
views
Finding the closest point on a circle to end of a ray in 3D
I have a circle in 3D space, so we have center C with radius r, and the normal of plane the circle lies on, N. There is also a normalized vector V that I am modifying to go far past the circle's ...
0
votes
0
answers
26
views
Rotate the parent object so that the child object points to the cursor 2D [duplicate]
I have an arm that has a pivot point on it. I want to rotate the arm so that the barrel of the gun points to the cursor. How do I calculate the angle of rotation for the arm?
I'm not very good at math ...
- 1
0
votes
0
answers
224
views
Implementing Camera Movement and Rotation in 3D Game Engine
Apologies in advance for any mistakes on terminology, I'm really really new to this
I'm completely new to 3d (and it's maths) but as a personal exercise I'm doing my own game engine that displays a ...
- 103
1
vote
2
answers
201
views
Determine which direction to rotate
Not sure if this belongs here or on the Math Exchange site; it's probably a simple math concept that I'm missing.
I have a 2D sprite with a rotation (let's call it A), and I want to slowly rotate it ...
- 113
1
vote
0
answers
46
views
Trying to plot trajectory of rocket using only its current position and velocity components
I have a 2D controllable rocket for which I want to plot the parabolic motion. Additionally, the parabola should be able to change due to the thrust of the rocket accelerating it in either direction. ...
