pdarnowsky

pdarnowsky

The Ray Tracer Challenge: use of a type code (pg. 3-4)

@jamis

After introducing the ideas of tuples, vectors, and points, the book goes on to say:

But looking at (4, -4, 3) and (-4, 4, -3) , it’s impossible to know that one is a point
and the other is a vector. Let’s add a fourth component to these (x, y, z) tuples,
called w , to help us tell them apart. Set w to 1 for points, and 0 for vectors.
Thus, your point becomes (4, -4, 3, 1) , and your vector becomes (-4, 4, -3, 0) .
Now, the choice of 0 or 1 for w probably seems arbitrary just now, but sit
tight! It’ll make more sense when you get to Chapter 3, Matrices, on page 25,
where it turns out to be rather important for multiplying matrices and tuples.

This advice seems misguided to me, as it amounts to using the fourth component as a type code, and not even a symbolic one–you just have to remember that 1.0 in the fourth component means a vector and 0.0 indicates a point. Especially given that this book appears to be aimed towards fairly junior developers, that’s not a practice we should be encouraging.

I agree that it’s necessary to differentiate between vectors and points, and the best way to do it depends largely on the language you’re using. That said, every mainstream language that I know of has a better way to do that than what is suggested here.

First Post!

srmo

srmo

@jamis

I feel this. But let me give my two cents. I’m coding in Java.
I’ve just started the book today and got stuck when it came to implementation of the different operations on Tuples, Points and Vectors.

TL;DR: in the end, the current description in the book allows for two main points:

  • it has me thinking really hard on what the best approach is. And in the spirit of TDD, I came to the realisation that the stage I’m in now needs me to not overthink all of that too early and go with the flow and trust the process.
  • the loose description gives you the full freedom. Sticking to only point and vector is a too narrow view. Using Tuple with the convenient “w” component allows for a broader understanding of the underlying mechanisms

Here’s a more detailed description of what happened to me:
I’ve started immediately with a type system, Tuple, Point and Vector. Now, may it be to language restrictions or inherently complex design, implementing the different rules per Type seemed to create an enormous mess. I.e. is Tuple allowed to add two “points” but the Point type isn’t? Does each type need an extra implementation to return the correct type, depending on the operation (e.g. returning a vector when adding point+vector)?
Does every type have to implement this? The inheritence tree looks like garbage after a few tries.
From my point of view: using narrow types requires much more design skill from a beginner developer and is more prone to end up in a mess that is really hard to refactor your way out of.
Using a “flag” on a single type is way easier for the initial design.

My current solution is to just stick to the Tuple type with some convenience methods. This is clean and I expect most flexibility with this approach.

Where Next?

Popular Pragmatic Bookshelf topics Top

iPaul
page 37 ANTLRInputStream input = new ANTLRInputStream(is); as of ANTLR 4 .8 should be: CharStream stream = CharStreams.fromStream(i...
New
Mmm
Hi, build fails on: bracket-lib = “~0.8.1” when running on Mac Mini M1 Rust version 1.5.0: Compiling winit v0.22.2 error[E0308]: mi...
New
HarryDeveloper
Hi @venkats, It has been mentioned in the description of ‘Supervisory Job’ title that 2 things as mentioned below result in the same eff...
New
swlaschin
The book has the same “Problem space/Solution space” diagram on page 18 as is on page 17. The correct Problem/Solution space diagrams ar...
New
curtosis
Running mix deps.get in the sensor_hub directory fails with the following error: ** (Mix) No SSH public keys found in ~/.ssh. An ssh aut...
New
hgkjshegfskef
The test is as follows: Scenario: Intersecting a scaled sphere with a ray Given r ← ray(point(0, 0, -5), vector(0, 0, 1)) And s ← sphere...
New
s2k
Hi all, currently I wonder how the Tailwind colours work (or don’t work). For example, in app/views/layouts/application.html.erb I have...
New
redconfetti
Docker-Machine became part of the Docker Toolbox, which was deprecated in 2020, long after Docker Desktop supported Docker Engine nativel...
New
gorkaio
root_layout: {PentoWeb.LayoutView, :root}, This results in the following following error: no “root” html template defined for PentoWeb...
New
dachristenson
@mfazio23 Android Studio will not accept anything I do when trying to use the Transformations class, as described on pp. 140-141. Googl...
New

Other popular topics Top

PragmaticBookshelf
Machine learning can be intimidating, with its reliance on math and algorithms that most programmers don't encounter in their regular wor...
New
PragmaticBookshelf
Andy and Dave wrote this influential, classic book to help their clients create better software and rediscover the joy of coding. Almost ...
New
PragmaticBookshelf
Design and develop sophisticated 2D games that are as much fun to make as they are to play. From particle effects and pathfinding to soci...
New
DevotionGeo
I know that -t flag is used along with -i flag for getting an interactive shell. But I cannot digest what the man page for docker run com...
New
AstonJ
This looks like a stunning keycap set :orange_heart: A LEGENDARY KEYBOARD LIVES ON When you bought an Apple Macintosh computer in the e...
New
New
PragmaticBookshelf
A masterclass in the fundamentals and principles of functional programming. Minh Quang Tran The Art of Functional Programming is a ma...
New
PragmaticBookshelf
A concise guide to MySQL 9 database administration, covering fundamental concepts, techniques, and best practices. Neil Smyth MySQL...
New
PragmaticBookshelf
As digital systems increasingly run the world, mastery of the recurring patterns of software development risk is the key to fast and effe...
New
pragdave
Build robust LLM-powered apps, chatbots, and agents while mastering AI engineering principles that will help you outlast the tools and th...
New

Sub Categories: