Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
【Go言語】浮動小数点
Search
Sponsored
·
Your Podcast. Everywhere. Effortlessly.
Share. Educate. Inspire. Entertain. You do you. We'll handle the rest.
→
Tomoki Ota
July 20, 2024
Programming
0
70
【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
Tweet
Share
More Decks by Tomoki Ota
See All by Tomoki Ota
アーキテクチャの価値
tomo1227
0
120
アーキテクチャとビジネスロジック
tomo1227
0
110
【Go言語】テスト
tomo1227
0
79
【Go言語】クロージャ
tomo1227
0
300
【Go言語】イテレータ
tomo1227
0
100
【Go言語】エラーハンドリング
tomo1227
0
82
AIに淘汰されないようにするには?
tomo1227
0
79
【Go言語】range
tomo1227
0
88
【Go言語】break
tomo1227
0
80
Other Decks in Programming
See All in Programming
How to stabilize UI tests using XCTest
akkeylab
0
130
Swift ConcurrencyでよりSwiftyに
yuukiw00w
0
270
CS教育のDX AIによる育成の効率化
niftycorp
PRO
0
120
new(1.26) ← これすき / kamakura.go #8
utgwkk
0
2.3k
encoding/json/v2のUnmarshalはこう変わった:内部実装で見る設計改善
kurakura0916
0
410
Rで始めるML・LLM活用入門
wakamatsu_takumu
0
180
Cyrius ーLinux非依存にコンテナをネイティブ実行する専用OSー
n4mlz
0
150
モジュラモノリスにおける境界をGoのinternalパッケージで守る
magavel
0
3.5k
TipKitTips
ktcryomm
0
170
AI 開発合宿を通して得た学び
niftycorp
PRO
0
120
Angular-Apps smarter machen mit Gen AI: Lokal und offlinefähig - Hands-on Workshop!
christianliebel
PRO
0
110
AI Assistants for Your Angular Solutions
manfredsteyer
PRO
0
140
Featured
See All Featured
How People are Using Generative and Agentic AI to Supercharge Their Products, Projects, Services and Value Streams Today
helenjbeal
1
140
Writing Fast Ruby
sferik
630
63k
Crafting Experiences
bethany
1
87
Primal Persuasion: How to Engage the Brain for Learning That Lasts
tmiket
0
290
Code Review Best Practice
trishagee
74
20k
Joys of Absence: A Defence of Solitary Play
codingconduct
1
310
Product Roadmaps are Hard
iamctodd
PRO
55
12k
Code Reviewing Like a Champion
maltzj
528
40k
The MySQL Ecosystem @ GitHub 2015
samlambert
251
13k
HDC tutorial
michielstock
1
540
Building a A Zero-Code AI SEO Workflow
portentint
PRO
0
390
Principles of Awesome APIs and How to Build Them.
keavy
128
17k
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