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z=?N+$L-v?{yjq{|cQ%I7;c**b7`Xzt>*0l(`*02)H$eGrLgw-7rw1AHmH`WfObt0f z1-MUA2qB^5 zkN=eDbZG0lb%8Ni-qq>z#8HSP6wi+Rn`W%>wy<>N8lIpN)%?Q-1>Gviz0IOSt}8DpY1ePgMWxXa+|bpaFP5^<_%1?1)Sa9$ zTm9CC_+IX!O=h-igaR>+fS(ZLf-bm5P<@LVt4fbbGK{JnfM?D7z98U?^@G*wYe&JM zTrzyU_mqy>wPEDSmi}_CGtkAafrh#oxjO4Y!T6om0{HIPXspg|>qj#+bozH|6nyNK z`&m0R2R>00v92Yf<=3H;MSz;ytw7oEFB=Yh}@d9acU(I07Ll4 z*E8$O|RvZ%^(maf*1bR;B_YF=wA7vqf}q4lF4<11lCVnbq+ zVnJCuv!BUEvS6i!%B+!1{LV%jxbUXNq$b|Ai<0E{HBt2Ldsu#FVHO8?>^~*DzR1PP zSACZLE$qvl*o=^@UkM9aRsywcgQGVABB0)m<==EXi!P?&L9qqXUUU1=tP2d|pOpIC zi6X?Ax2u)rcFS2anQ)2h+3c3LG7PS@aPwLz9WNIKMB=8A;Rx2I&Tj3(Ze3vv5z67Q z2CTAM4jjFNihNWER0xj!dcOAv~XH>OyB@UfzMf2`=S(Wvvo5h(Z [1..3] [(1,3),(1,4),(2,3),(2,4)] ``` +# Use cases[^4] + +```haskell +Person + <$> parseString "name" o + <*> parseInt "age" o + <*> parseTelephone "telephone" o +``` + +Can also be written as + +```haskell +liftA3 Person + (parseString "name" o) + (parseInt "age" o) + (parseTelephone "telephone" o) +``` +[^4]: [FP Complete - Crash course to Applicative syntax](https://www.fpcomplete.com/haskell/tutorial/applicative-syntax/) + +# Use cases[^5] + +```haskell +parsePerson :: Parser Person +parsePerson = do + string "Name: " + name <- takeWhile (/= 'n') + endOfLine + string "Age: " + age <- decimal + endOfLine + pure $ Person name age +``` + +[^5]: [FP Complete - Crash course to Applicative syntax](https://www.fpcomplete.com/haskell/tutorial/applicative-syntax/) + +# Use cases[^6] + +```haskell +helper :: () -> Text -> () -> () -> Int -> () -> Person +helper () name () () age () = Person name age + +parsePerson :: Parser Person +parsePerson = helper + <$> string "Name: " + <*> takeWhile (/= 'n') + <*> endOfLine + <*> string "Age: " + <*> decimal + <*> endOfLine +``` + +[^6]: [FP Complete - Crash course to Applicative syntax](https://www.fpcomplete.com/haskell/tutorial/applicative-syntax/) + + # Lifting - Seeing Functor as unary lifting and Applicative as n-ary lifting @@ -155,6 +209,17 @@ pure f <*> pure x = pure (f x) u <*> pure y = pure ($ y) <*> u ``` +# Operators[^7] + +- `pure` wraps up a pure value into some kind of Applicative +- `liftA2` applies a pure function to the values inside two `Applicative` wrapped values +- `<$>` operator version of `fmap` +- `<*>` apply a wrapped function to a wrapped value +- `*>`, `<*` + +[^7]: [FP Complete - Crash course to Applicative syntax](https://www.fpcomplete.com/haskell/tutorial/applicative-syntax/) + + # Applicative vs monads - Applicative @@ -162,7 +227,7 @@ u <*> pure y = pure ($ y) <*> u * Batching and aggregation * Concurrency/Independent - Parsing context free grammar - - Exploring all branches of computation (see `Alternative`) + - Exploring all branches of computation (see [`Alternative`](https://hackage.haskell.org/package/base-4.20.0.1/docs/Control-Applicative.html#t:Alternative)) - Monads * Effects @@ -183,6 +248,7 @@ u <*> pure y = pure ($ y) <*> u - [Applicative Programming with Effects](https://www.staff.city.ac.uk/~ross/papers/Applicative.html) - [optparse-applicative](https://hackage.haskell.org/package/optparse-applicative) - [Control Applicative](https://hackage.haskell.org/package/base-4.19.1.0/docs/Control-Applicative.html) +- [Applicative functors for fun & parsing](https://arunraghavan.net/2018/02/applicative-functors-for-fun-and-parsing/) # Questions diff --git a/applicative/applicative.pdf b/applicative/applicative.pdf index b55e4bfe03bcb8d7017eecd28295a1af06827d8e..7ed00f5ca3756840dc5ab871a0db70ff6b3651a5 100644 GIT binary patch delta 136368 zcmZVjV{j(U7qtt=wr$-pCbn(c$;3A9*qWFV+qP{d6Wg|v^ZUQ2o>Om~^QCL|$L`u! zueEyj9wYoIN37$r24zbMv_uEv{FQWP3jj`Q$U7_wp>)4!#?T@mCANNaw}d3f>a6#WtJ}Y760KeF{djiKSpXpvOM1Fe zYU+6uGy~=C5%)|&NK^L3QdV>@fxtqGC+~kKaLiINB6zHmW7wHWBmJ!ds}p}Z6ecRh z2pcggLawcpRz<}iMjZ+*IRchn68GxYd?0-SE?I>|-j_dR1t)aX^6IlvDq4)3eU z!jHOawEj?257ZM+xRBfZCR$rX?;QyNaEO)J^P8cmWTz?l4xx|#`OTA zB!@}2a3K$wTRQbeE^kpY3+k`}9WP&HNW|{)z{WzW0+%jza{)0=V^>Vf$uh@gRb%}@ 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