Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Sign up for free
Menu
Search
Features
All features
Private URLs
Password Protection
Custom URLS
Scheduled publishing
Remove Branding
Restrict embedding
Deck Collections
Notes
Features
All features
Private URLs
Password Protection
Custom URLS
Scheduled publishing
Remove Branding
Restrict embedding
Deck Collections
Notes
Explore
Featured decks
Featured speakers
Programming
Technology
Storyboards
Explore
Featured decks
Featured speakers
Programming
Technology
Storyboards
Pricing
Search
Sign in
Sign up for free
【Go言語】浮動小数点
Search
Tomoki Ota
July 20, 2024
Programming
91
0
Share
Embed
Copy iframe code
Copy JS code
Copy link
Start on current slide
【Go言語】浮動小数点
Go言語の浮動小数点について、解説しています。
【Qiita】
【Go言語】浮動小数点
Tomoki Ota
July 20, 2024
More Decks by Tomoki Ota
See All by Tomoki Ota
アーキテクチャの価値
tomo1227
0
130
アーキテクチャとビジネスロジック
tomo1227
0
130
【Go言語】テスト
tomo1227
0
100
【Go言語】クロージャ
tomo1227
0
350
【Go言語】イテレータ
tomo1227
0
120
【Go言語】エラーハンドリング
tomo1227
0
100
AIに淘汰されないようにするには?
tomo1227
0
110
【Go言語】range
tomo1227
0
110
【Go言語】break
tomo1227
0
110
Other Decks in Programming
See All in Programming
What We Talk About When We Talk About XP
m_seki
2
530
世界の中心で、AI(App Intents)をさけぶ ー App Intents中心設計の実践ガイド
touyou
0
400
go-spidermonkeyでAIエージェントのCode Modeを実装する
syumai
3
1.5k
初心者DevRelとして参加者だった私が、DevRel Talks!#2に登壇するまでにしてきたこと
sokohirai
0
370
Streamlitで実現する自然言語データアプリ開発
ayumu_yamaguchi
0
190
Building an Out-of-Order CPU
latte72
1
750
型解析で実現する Go の言語内 DSL / Conference に Go! タイムテーブルの歩き方 for Gophers
mazrean
0
140
AWS Step Functions 大規模並列の壁を越える / jaws-sonic-2026-niigata-step-functions
kasacchiful
PRO
1
440
AI に Inclusive UI を書かせよう — Design Rules Skill で Compose UI を作り直す
theoriatec2024
1
470
[DroidKaigi 2026] Bring your own phones to Gradle Managed Devices
f2lk
0
120
From 6 People Classroom Meetup to 100 People Regional Conference / FOSS4G Hiroshima 2026
furukawayasuto
0
140
Foundry Localでエージェント開発
seosoft
0
180
Featured
See All Featured
Become a Pro
speakerdeck
PRO
31
6.2k
From Legacy to Launchpad: Building Startup-Ready Communities
dugsong
0
330
Jamie Indigo - Trashchat’s Guide to Black Boxes: Technical SEO Tactics for LLMs
techseoconnect
PRO
0
670
Design in an AI World
tapps
1
310
Exploring the relationship between traditional SERPs and Gen AI search
raygrieselhuber
PRO
2
4.3k
How GitHub (no longer) Works
holman
316
150k
BBQ
matthewcrist
89
10k
How to Build an AI Search Optimization Roadmap - Criteria and Steps to Take #SEOIRL
aleyda
1
2.2k
My Coaching Mixtape
mlcsv
0
310
Navigating Team Friction
lara
192
16k
Responsive Adventures: Dirty Tricks From The Dark Corners of Front-End
smashingmag
254
22k
Faster Mobile Websites
deanohume
310
32k
Transcript
Tomoki Ota ʲGoݴޠʳුಈখ
f loat32 f loat64 Goͷුಈখܕ 2
Goͷුಈখܕ 3
Goͷුಈখܕ 1.0001 * 1.0001 = 1.00020001 ؙΊޡࠩͰग़ྗ݁Ռ1.0002ʹͳΔ 4
খ : ແݶݸଘࡏ͢Δ f loat64 : ༗ݶɻ64bit Goͷුಈখܕ 5
ූ߸s, ԾF, ࢦeͷͱ͖ͷ10ਐЋ Goͷුಈখܕ α = (−1)s × F ×
2e 6
Goͷුಈখܕ 1.0001 = 1 × 1.000100016593933 × 20 ූ߸s, ԾF,
ࢦeͷͱ͖ͷ10ਐЋ 7
୯ਫ਼ුಈখ( f loat32) : ࢦ8ϏοτɺԾ23Ϗοτ ഒਫ਼ුಈখܕ( f loat64) : ࢦ11ϏοτɺԾ52Ϗοτ
Goͷුಈখܕ 8
Goͷුಈখܕ ූ߸ ࢦ(8bit) Ծ(23bit) 0 1111111 00000000000001101000111 9
ൺֱ ϓϩηοαʹґଘ͢Δ ಛघͳුಈখ ޡࠩͷੵ ۙࣅΛ͏͜ͱʹΑΔฐ 10
ۙࣅΛ͏ͱɺ==Λ༻ͨ͠ൺֱ͕ෆਖ਼֬ʹͳΔ߹ ͕͋Δɻ goͷςετϥΠϒϥϦtestify ʹൺֱ͍ͯ͠Δ͕Ўͷ ൣғͰ͋Δ͜ͱΛݕࠪ͢ΔͨΊͷInDelta͕ଘࡏ͢Δɻ ൺֱ 11
ϓϩηοαʹɺුಈখԋࢉΛॲཧ͢Δුಈখԋࢉ Ϣχοτ(Floating Point Unit, FPU)͕͋Δɻ ॲཧ݁ՌFPUʹґଘ͢ΔͷͰɺFPU͕ҟͳΔผͷϚγϯͰ ಉ݁͡ՌʹͳΔอূͳ͍ɻ ͪ͜Β 𝛿 Λߟ͑Δ͜ͱͰղܾ͢Δɻ
ϓϩηοαʹґଘ͢Δ 12
ϓϩηοαʹɺුಈখԋࢉΛॲཧ͢Δුಈখԋࢉ Ϣχοτ(Floating Point Unit, FPU)͕͋Δɻ ॲཧ݁ՌFPUʹґଘ͢ΔͷͰɺFPU͕ҟͳΔผͷϚγϯͰ ಉ݁͡ՌʹͳΔอূͳ͍ɻ ͪ͜Β 𝛿 Λߟ͑Δ͜ͱͰղܾ͢Δɻ
ಛघͳුಈখ 13
• ਖ਼ͷແݶେ • ෛͷແݶେ •NaN(Not-a-Number) ಛघͳුಈখ 14
NaNf != fΛຬͨ͢།Ұͷුಈখ ಛघͳුಈখ 15
ಛघͳුಈখ 16
ಛघͳුಈখ ͜ΕΒ3ͭͷුಈখʹ͍ͭͯͷൺֱɺ math.IsInf(ແݶ)Ͱɺmath.IsNan(NaN)ͰൺֱͰ͖ Δɻ 17
ޡࠩͷੵ(Ճࢉɾݮࢉ) 10000ʹ1.0001ΛnճՃࢉ͢ΔϓϩάϥϜ 18
ޡࠩͷੵ(Ճࢉɾݮࢉ) 1.0001ΛnճՃࢉͯ͠ɺ࠷ޙʹ10000ΛՃࢉ͢ΔϓϩάϥϜ 19
ޡࠩͷੵ(Ճࢉɾݮࢉ) n ਖ਼֬ͳ f1 f2 10 10010.001 10010.001 10010.001 1K
11000.1 11000.0999999993 11000.1 1M 1.0101E+06 1.01009999997614E+06 1.01009999997668E+06 ՃࢉݮࢉΛ࿈ଓͯ͠ߦ͏߹ɺେ͖͞ͷ͍ۙΛ·ͱΊͯܭࢉ͔ͯ͠Β େ͖ͳΛՃࢉɾݮࢉ͢Δͱɺޡ͕ࠩখ͘͞ͳΔɻ 20
ޡࠩͷੵ(ࢉɾআࢉ) a × (b + c) a × b +
a × c v.s. 21
ޡࠩͷੵ(ࢉɾআࢉ) a × (b + c) a × b +
a × c v.s. 22
ޡࠩͷੵ(ࢉɾআࢉ) a × b + a × c ͷํ͕ޡ͕ࠩগͳ͍ ՃࢉɾݮࢉΑΓࢉɾՃࢉΛઌʹߦ͏ͱ
ޡࠩΛখ͘͢͞Δ͜ͱ͕Ͱ͖Δ 23
Goͷ f loat32, f loat64ۙࣅΛͱΔͷͰɺޡ͕ࠩൃੜ͢Δ Ճࢉɾݮࢉಉܻ͡ͷԋࢉΛ·ͱΊͯߦ͏͜ͱͰɺਫ਼্͕͕Δ ࢛ଇԋࢉ͕ࠞ߹͢Δ߹ɺࢉͱআࢉΛઌʹߦ͏͜ͱͰɺਫ਼্͕͕Δ ·ͱΊ 24