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Ray casting in Javascript


About

This is a ray casting program that has two verions, a p5.js-based raycaster in written Javascript (runs in the browser)

The engineering behind this is highly influenced by the original Wolfenstein 3D raycaster; using angles and trigonometric functions instead of vectors.

How it works

(This explaination refers to Javascript implimentation)

The raycaster program first defines the properties of the 2D grid, rows, and columns. A Map class is created to show a minimap and define the map. Next, Player class is created to initalize it's properties and update it's position on the map. Next, a Ray class is created to initialize the properties of the player rays, and define a function to cast the rays while checking for horizontal and vertical intercepts. The cast method within the Ray class is where most of the ray casting computation is taking place. p5.js functions are used for user input. Next, a function for casting all the rays per NUM_RAYS (the number of columns on screen). The function render3DProjectedWalls creates variable height columns per casted ray to determine what distance the column should appear to be. The function normalizeAngle sanitzes the ray angle by keeping it bound to 360 degrees or 2π.

The ray casting techinque can be sumed up simply as messuring the distance of horizontal and vertical ray-wall intersections from the player position and deciding whether the horizonatal or vertical distance is shorter. Then, drawing a column based on the distance from the player and repeating this process for every casted ray

  1. Cast ray
  2. Check horizontal vertical intersections of the map until a wall has been hit and record distance
  3. check which intersection hits a wall first ray distance diagram!

The distance betwen interections of the same axis is uniform, thus ∆x and ∆y are uniform. Knowing that the first ∆x and ∆y will allow you to increment until the ray intersects with a wall.

The distance from the player location and the first intersection is calculated from

inital distance from Player to the first intersection!

find A
inital distance from Player to the first intersection!

inital distance from Player to the first intersection!

full distance equation!

<script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS_CHTML"></script>

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