Skip to content
By using Twitter’s services you agree to our Cookies Use. We and our partners operate globally and use cookies, including for analytics, personalisation, and ads.

This is the legacy version of twitter.com. We will be shutting it down on June 1, 2020. Please switch to a supported browser, or disable the extension which masks your browser. You can see a list of supported browsers in our Help Center.

  • Home Home Home, current page.
  • About

Saved searches

  • Remove
  • In this conversation
    Verified accountProtected Tweets @
Suggested users
  • Verified accountProtected Tweets @
  • Verified accountProtected Tweets @
  • Language: English
    • Bahasa Indonesia
    • Bahasa Melayu
    • Català
    • Čeština
    • Dansk
    • Deutsch
    • English UK
    • Español
    • Filipino
    • Français
    • Hrvatski
    • Italiano
    • Magyar
    • Nederlands
    • Norsk
    • Polski
    • Português
    • Română
    • Slovenčina
    • Suomi
    • Svenska
    • Tiếng Việt
    • Türkçe
    • Ελληνικά
    • Български език
    • Русский
    • Српски
    • Українська мова
    • עִבְרִית
    • العربية
    • فارسی
    • मराठी
    • हिन्दी
    • বাংলা
    • ગુજરાતી
    • தமிழ்
    • ಕನ್ನಡ
    • ภาษาไทย
    • 한국어
    • 日本語
    • 简体中文
    • 繁體中文
  • Have an account? Log in
    Have an account?
    · Forgot password?

    New to Twitter?
    Sign up
pcwalton's profile
Patrick Walton
Patrick Walton
Patrick Walton
@pcwalton

Tweets

Patrick Walton

@pcwalton

Research engineer at Mozilla

San Francisco, CA
pcwalton.github.io
Joined November 2009

Tweets

  • © 2020 Twitter
  • About
  • Help Center
  • Terms
  • Privacy policy
  • Imprint
  • Cookies
  • Ads info
Dismiss
Previous
Next

Go to a person's profile

Saved searches

  • Remove
  • In this conversation
    Verified accountProtected Tweets @
Suggested users
  • Verified accountProtected Tweets @
  • Verified accountProtected Tweets @

Promote this Tweet

Block

  • Tweet with a location

    You can add location information to your Tweets, such as your city or precise location, from the web and via third-party applications. You always have the option to delete your Tweet location history. Learn more

    Your lists

    Create a new list


    Under 100 characters, optional

    Privacy

    Copy link to Tweet

    Embed this Tweet

    Embed this Video

    Add this Tweet to your website by copying the code below. Learn more

    Add this video to your website by copying the code below. Learn more

    Hmm, there was a problem reaching the server.

    By embedding Twitter content in your website or app, you are agreeing to the Twitter Developer Agreement and Developer Policy.

    Preview

    Why you're seeing this ad

    Log in to Twitter

    · Forgot password?
    Don't have an account? Sign up »

    Sign up for Twitter

    Not on Twitter? Sign up, tune into the things you care about, and get updates as they happen.

    Sign up
    Have an account? Log in »

    Two-way (sending and receiving) short codes:

    Country Code For customers of
    United States 40404 (any)
    Canada 21212 (any)
    United Kingdom 86444 Vodafone, Orange, 3, O2
    Brazil 40404 Nextel, TIM
    Haiti 40404 Digicel, Voila
    Ireland 51210 Vodafone, O2
    India 53000 Bharti Airtel, Videocon, Reliance
    Indonesia 89887 AXIS, 3, Telkomsel, Indosat, XL Axiata
    Italy 4880804 Wind
    3424486444 Vodafone
    » See SMS short codes for other countries

    Confirmation

     

    Welcome home!

    This timeline is where you’ll spend most of your time, getting instant updates about what matters to you.

    Tweets not working for you?

    Hover over the profile pic and click the Following button to unfollow any account.

    Say a lot with a little

    When you see a Tweet you love, tap the heart — it lets the person who wrote it know you shared the love.

    Spread the word

    The fastest way to share someone else’s Tweet with your followers is with a Retweet. Tap the icon to send it instantly.

    Join the conversation

    Add your thoughts about any Tweet with a Reply. Find a topic you’re passionate about, and jump right in.

    Learn the latest

    Get instant insight into what people are talking about now.

    Get more of what you love

    Follow more accounts to get instant updates about topics you care about.

    Find what's happening

    See the latest conversations about any topic instantly.

    Never miss a Moment

    Catch up instantly on the best stories happening as they unfold.

    1. Joe Groff‏ @jckarter 22 Jul 2019
      • Report Tweet
      • Report NetzDG Violation
      Replying to @mindbrix

      Apple chose 64 bits because it's necessary to get correct results. If you don't care about correctness you can always go faster.

      1 reply 0 retweets 0 likes
    2. Nigel Timothy Barber‏ @mindbrix 22 Jul 2019
      • Report Tweet
      • Report NetzDG Violation
      Replying to @jckarter

      CG worked fine with 32 bits. Every GPU is 32 bits. Show me some concrete examples where 64 bits is necessary.

      1 reply 0 retweets 1 like
    3. Joe Groff‏ @jckarter 22 Jul 2019
      • Report Tweet
      • Report NetzDG Violation
      Replying to @mindbrix

      CG worked fine with 32 bits…until we had retina displays and 20+ inch monitors standard. GPUs handle doubles just fine these days.

      3 replies 0 retweets 3 likes
    4. Nigel Timothy Barber‏ @mindbrix 22 Jul 2019
      • Report Tweet
      • Report NetzDG Violation
      Replying to @jckarter

      Why do you need doubles for retina displays? Please show me the math.

      1 reply 0 retweets 0 likes
    5. Joe Groff‏ @jckarter 22 Jul 2019
      • Report Tweet
      • Report NetzDG Violation
      Replying to @mindbrix

      Empirically speaking, even before retina displays, there were instances of text glyphs rendering differently on the far side of the screen, large scroll views behaving oddly, and things like that.

      2 replies 0 retweets 1 like
    6. Nigel Timothy Barber‏ @mindbrix 22 Jul 2019
      • Report Tweet
      • Report NetzDG Violation
      Replying to @jckarter

      I see no math

      1 reply 0 retweets 0 likes
    7. Joe Groff‏ @jckarter 22 Jul 2019
      • Report Tweet
      • Report NetzDG Violation
      Replying to @mindbrix

      I'm no good at math, maybe @stephentyrone can help with that. But the nice thing about doubles is that you're much less likely to need to be good at math to use them.

      2 replies 0 retweets 4 likes
    8. Steve Canon‏ @stephentyrone 22 Jul 2019
      • Report Tweet
      • Report NetzDG Violation
      Replying to @jckarter @mindbrix

      It's not rocket science to get at, to the point that this mostly feels like a bad faith request. You lose a few bits to a poorly-implemented primitive, 12 bits of coordinates to the screen size, then you have a view whose coordinates were poorly chosen or that the API doesn't \

      1 reply 0 retweets 11 likes
    9. Steve Canon‏ @stephentyrone 22 Jul 2019
      • Report Tweet
      • Report NetzDG Violation
      Replying to @stephentyrone @jckarter @mindbrix

      allow the engine to renormalize nicely, then you repeat a translation a few times eating some rounding error each time, and you have no bits left. You only had 24 of them to start with, so this doesn't take long.

      1 reply 0 retweets 2 likes
    10. Steve Canon‏ @stephentyrone 22 Jul 2019
      • Report Tweet
      • Report NetzDG Violation
      Replying to @stephentyrone @jckarter @mindbrix

      Yes, it's possible to design a new API from scratch to avoid this, if you're very careful and you do it just so, and all of your users also use it just so. Or you can use double and no one ever needs to worry about it.

      1 reply 0 retweets 4 likes
      Patrick Walton‏ @pcwalton 22 Jul 2019
      • Report Tweet
      • Report NetzDG Violation
      Replying to @stephentyrone @jckarter @mindbrix

      I’m using 32-bit floats everywhere in my vector graphics/font API and being careful about it…this may end up coming back to bite me but we’ll see :)

      12:44 PM - 22 Jul 2019
      • 5 Likes
      • Nigel Timothy Barber Bill Stewart Rich Felker Joe Groff Steve Canon
      1 reply 0 retweets 5 likes
        1. New conversation
        2. Miguel de Icaza‏ @migueldeicaza 22 Jul 2019
          • Report Tweet
          • Report NetzDG Violation
          Replying to @pcwalton @stephentyrone and

          32 bites you in games, once you are far from the origin. Also, 32 is faster than 64 for fpu, last time I measure with Mono and LLVM. Some numbers and a cute addendum with a real life problem: https://tirania.org/blog/archive/2018/Apr-11.html …

          2 replies 0 retweets 5 likes
        3. Joe Groff‏ @jckarter 22 Jul 2019
          • Report Tweet
          • Report NetzDG Violation
          Replying to @migueldeicaza @pcwalton and

          I think the main thing isn't that doubles are exactly as fast as single-precision floats, but that most of the things that made them orders of magnitude slower (32 bit CPU buses, no hardware support, etc.) have mostly been addressed, so they're a safe default

          3 replies 0 retweets 2 likes
        4. 1 more reply

      Loading seems to be taking a while.

      Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.

        Promoted Tweet

        false

        • © 2020 Twitter
        • About
        • Help Center
        • Terms
        • Privacy policy
        • Imprint
        • Cookies
        • Ads info