CraigTreptow

CraigTreptow

The Ray Tracer Challenge: Chapter 7 - Calculating pixel size

Hi. I’m working on this test:

Scenario ​: The pixel size for a horizontal canvas
Given ​ c ← camera(200, 125, π/2)
Then ​ c.pixel_size = 0.01

I’m doing this in Haskell, so I’m pulling the following from a Haskell REPL prompt that is doing the same calculations as my code:

> hs = 200
> vs = 125
> fov = (pi/2)
> 1.5707963267948966

> radians = (fov/2) * (pi/180)
> 1.3707783890401887e-2         ==> (0.013707783)
> ar = (fromIntegral hs) / (fromIntegral vs)
> 1.6
> hv = tan radians
> 1.3708642534394055e-2         ==> (0.01370864253)
> hw = calcHalfWidth ar hv
> 1.3708642534394055e-2         ==> (0.01370864253)
> (hw * 2) / (fromIntegral hs)  ==> (0.02741728506) / 200
1.3708642534394054e-4           ==> (0.00013708642)

I’m trying to track down where this is going wrong, and every time I double check my calculations, I convince myself that they are correct, even though I’m off by so much.

Does anybody see any obvious issues?

Marked As Solved

CraigTreptow

CraigTreptow

I have confirmed the book uses only radians for angles, so after undoing the radian conversion, my answer was actually 9.999999999999998e-3. or 0.009999999. So, I had it all along, but just couldn’t see it.

That’s what a night of sleep and a helpful stranger gets you. :wink:

Also Liked

NobbZ

NobbZ

You are not off. 0.000137 is just another way to write 1.37e-4.

You have to read it as 1.37 * 10 ^ (-4).

It is called scientific notation.

CraigTreptow

CraigTreptow

Sorry, I wasn’t clear. That last calculation is the pixel size, which should equal 0.01. I was just showing the non-scientific notation values by adding the ‘==> (some number)’

Where Next?

Popular Pragmatic Bookshelf topics Top

New
GilWright
Working through the steps (checking that the Info,plist matches exactly), run the demo game and what appears is grey but does not fill th...
New
edruder
I thought that there might be interest in using the book with Rails 6.1 and Ruby 2.7.2. I’ll note what I needed to do differently here. ...
New
jdufour
Hello! On page xix of the preface, it says there is a community forum "… for help if your’re stuck on one of the exercises in this book… ...
New
Chrichton
Dear Sophie. I tried to do the “Authorization” exercise and have two questions: When trying to plug in an email-service, I found the ...
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
jskubick
I think I might have found a problem involving SwitchCompat, thumbTint, and trackTint. As entered, the SwitchCompat changes color to hol...
New
brunogirin
When I run the coverage example to report on missing lines, I get: pytest --cov=cards --report=term-missing ch7 ERROR: usage: pytest [op...
New
creminology
Skimming ahead, much of the following is explained in Chapter 3, but new readers (like me!) will hit a roadblock in Chapter 2 with their ...
New
jwandekoken
Book: Programming Phoenix LiveView, page 142 (157/378), file lib/pento_web/live/product_live/form_component.ex, in the function below: d...
New

Other popular topics Top

PragmaticBookshelf
Learn from the award-winning programming series that inspired the Elixir language, and go on a step-by-step journey through the most impo...
New
PragmaticBookshelf
Ruby, Io, Prolog, Scala, Erlang, Clojure, Haskell. With Seven Languages in Seven Weeks, by Bruce A. Tate, you’ll go beyond the syntax—and...
New
DevotionGeo
I know that these benchmarks might not be the exact picture of real-world scenario, but still I expect a Rust web framework performing a ...
New
AstonJ
Or looking forward to? :nerd_face:
502 14279 275
New
Rainer
My first contact with Erlang was about 2 years ago when I used RabbitMQ, which is written in Erlang, for my job. This made me curious and...
New
First poster: bot
zig/http.zig at 7cf2cbb33ef34c1d211135f56d30fe23b6cacd42 · ziglang/zig. General-purpose programming language and toolchain for maintaini...
New
sir.laksmana_wenk
I’m able to do the “artistic” part of game-development; character designing/modeling, music, environment modeling, etc. However, I don’t...
New
PragmaticBookshelf
A concise guide to MySQL 9 database administration, covering fundamental concepts, techniques, and best practices. Neil Smyth MySQL...
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
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: