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

abtin
page 20: … protoc command… I had to additionally run the following go get commands in order to be able to compile protobuf code using go...
New
jeffmcompsci
Title: Design and Build Great Web APIs - typo “https://company-atk.herokuapp.com/2258ie4t68jv” (page 19, third bullet in URL list) Typo:...
New
mikecargal
Title: Hands-On Rust (Chap 8 (Adding a Heads Up Display) It looks like ​.with_simple_console_no_bg​(SCREEN_WIDTH*2, SCREEN_HEIGHT*2...
New
raul
Page 28: It implements io.ReaderAt on the store type. Sorry if it’s a dumb question but was the io.ReaderAt supposed to be io.ReadAt? ...
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
brian-m-ops
#book-python-testing-with-pytest-second-edition Hi. Thanks for writing the book. I am just learning so this might just of been an issue ...
New
patoncrispy
I’m new to Rust and am using this book to learn more as well as to feed my interest in game dev. I’ve just finished the flappy dragon exa...
New
fynn
This is as much a suggestion as a question, as a note for others. Locally the SGP30 wasn’t available, so I ordered a SGP40. On page 53, ...
New
a.zampa
@mfazio23 I’m following the indications of the book and arriver ad chapter 10, but the app cannot be compiled due to an error in the Bas...
New
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
Brace yourself for a fun challenge: build a photorealistic 3D renderer from scratch! In just a couple of weeks, build a ray tracer that r...
New
AstonJ
Curious to know which languages and frameworks you’re all thinking about learning next :upside_down_face: Perhaps if there’s enough peop...
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
Exadra37
I am asking for any distro that only has the bare-bones to be able to get a shell in the server and then just install the packages as we ...
New
PragmaticBookshelf
Programming Ruby is the most complete book on Ruby, covering both the language itself and the standard library as well as commonly used t...
New
mindriot
Ok, well here are some thoughts and opinions on some of the ergonomic keyboards I have, I guess like mini review of each that I use enoug...
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
xiji2646-netizen
Woke up to this today: Claude Code’s complete source code exposed via npm source map. Not a snippet. All 512,000 lines. 1,900 TypeScript ...
New

Sub Categories: