From 60e65f42b785cb19695763341d513c247634c79f Mon Sep 17 00:00:00 2001 From: Sanchayan Maity Date: Fri, 19 Jan 2024 21:44:59 +0530 Subject: [PATCH] Short helper presentation on list and folds All material taken from Haskell book. --- list-folds/Left-fold-transformation.png | Bin 0 -> 10415 bytes list-folds/Makefile | 11 ++ list-folds/Right-fold-transformation.png | Bin 0 -> 10275 bytes list-folds/list-folds-slideshow.pdf | Bin 0 -> 254709 bytes list-folds/list-folds.md | 176 +++++++++++++++++++++++ list-folds/list-folds.pdf | Bin 0 -> 240069 bytes list-folds/style.tex | 1 + 7 files changed, 188 insertions(+) create mode 100644 list-folds/Left-fold-transformation.png create mode 100644 list-folds/Makefile create mode 100644 list-folds/Right-fold-transformation.png create mode 100644 list-folds/list-folds-slideshow.pdf create mode 100644 list-folds/list-folds.md create mode 100644 list-folds/list-folds.pdf create mode 100644 list-folds/style.tex diff --git 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zCu2O^t<|AhR`;vCj4dmWg%7jl`qmj4bG9peuH8}wOA!yLV06PyYwqiooJx(R?$-?y zFq~uIj^oPUpv^2RO_wgVekx^x3O9kYA`VeN|1JZh4Ktno0h}J3w?E%nP0$SU;m*)! z{dKdxEc~I_wb?C6YQ0ww?uTsD3k!KRPMaGy-4l+{i3^t0lF}lGvVPIY-1!Pju@+Vp z8k_@&;#)oCOC$c~8D)l?GCH;OnA!o>&c{NRD>4%z&f1Z!iO(~=Dsa=s$*!E z7zSvIg8yz6{pTR=|C!%fDiAYtfQ+pv#FbhXNDblz>7xTwE#2V;#0#JBn$)`N)Ew08 zaHNWz9h4fx^Z0I+%Hs$#J2=VXvi#VRpw<->2TJhqigE+FL_r`?E-r2{4qi@PEi$UHHTVI^ML;Qu$ounGB)yH!uAu#zRgrb3!x6*F88mm zO0-6x)-5O)#Myp>K2C1=kzW`)K&#*|GHdV+8>X*d;*y~kJ1TP5Thh|;d-xw2M!XTL zIpY-tH(&>mw?7$4vDU$51Fapcq$o&>pCc_na!P!_{ssatzFaU9b8wg!J5gbW zO-hbK{xk^(n0P3dk6C)blbvKsl%24YTwn*|KH&>0ai zHYK8|w2=pMB3|mIl;((SPFjknps80qn{I!X$Pw(-gsvfuW%E%dv39t1voi83e*Jva zu0df_uffjkkiAl98Sx(fg&N!9Nx2V6P1T{CK#uaJ@dMz(S|A%MO^q%2CYMYnJJI8A zo-L7O#%mtSBU?XjMqIp%XSoL0$=S(STKoN|o}~4sLVOI?E%rk8uQSCj4W~&|C;Ypk zD$JuJH(V;8NkPnZ$JbnYb-v8Uuv-(#nBv&t6O#yq*U)+WW9gmAoylfZgLvhlKz@M#9VMfVtCAk^sxcLNjzM;whRUmD1B@1V3D7 zB [a] +ourTail [] = [] +ourTail (_ : xs) = xs +``` + +# Syntactic sugar + +```haskell +ghci> [1, 2, 3] ++ [4] +[1, 2, 3, 4] +ghci> (1 : 2 : 3 : []) ++ 4 : [] +[1,2,3,4] +``` + +# Construction lists + +```haskell +ghci> [1..10] +[1,2,3,4,5,6,7,8,9,10] +ghci> enumFromTo 1 10 +[1,2,3,4,5,6,7,8,9,10] +ghci> [1,2..10] +[1,2,3,4,5,6,7,8,9,10] +ghci> enumFromThenTo 1 2 10 +[1,2,3,4,5,6,7,8,9,10] +ghci> [1,3..10] +[1,3,5,7,9] +ghci> enumFromThenTo 1 3 10 +[1,3,5,7,9] +ghci> ['t'..'z'] +"tuvwxyz" +ghci> enumFromTo 't' 'z' +"tuvwxyz" +``` + +# Extracting from lists + +```haskell +take :: Int -> [a] -> [a] +drop :: Int -> [a] -> [a] +splitAt :: Int -> [a] -> ([a], [a]) + +takeWhile :: (a -> Bool) -> [a] -> [a] +dropWhile :: (a -> Bool) -> [a] -> [a] +``` + +# List comprehensions + +```haskell +ghci> [x^y | x <- [1..5], y <- [2, 3]] +[1,1,4,8,9,27,16,64,25,125] +``` + +# Evaluation + +``` +1 : (2 : []) + : + / \ + 1 + : + / \ + 2 [] +``` + +See `sprint` command. + +```haskell +ghci> blah = enumFromTo 'a' 'z' +ghci> :sprint blah +``` + +**Spines are evaluated independently of values**. + +# Miscellaneous + +- `map` +- `filter` +- `zip` + +# Patterns + +```haskell +sum :: [Integer] -> Integer +sum [] = 0 +sum (x:xs) = x + sum xs + +length :: [a] -> Integer +length [] = 0 +length (_:xs) = 1 + length xs + +product :: [Integer] -> Integer +product [] = 1 +product (x:xs) = x * product xs + +concat :: [[a]] -> [a] +concat [] = [] +concat (x:xs) = x ++ concat xs +``` + +# Folds types + +```haskell +foldr :: Foldable t => (a -> b -> b) -> b -> t a -> b +foldr :: (a -> b -> b) -> b -> [] a -> b + +foldl :: (b -> a -> b) -> b -> [a] -> b +foldl f acc [] = acc +foldl f acc (x:xs) = foldl f (f acc x) xs +``` + +# Right fold transformation[^1] + +![*Right Fold*](./Right-fold-transformation.png){width=60%} + +[^1]: [Haskell Wiki - Fold](https://wiki.haskell.org/Fold) + + +# Left fold transformation[^2] + +![*Left Fold*](./Left-fold-transformation.png){width=60%} + +[^2]: [Haskell Wiki - Fold](https://wiki.haskell.org/Fold) + +# Folds in-depth + +- An aside from Alexis King. + +https://github.com/hasura/graphql-engine/pull/2933#discussion_r328821960 + +# Questions + +- Reach out on + * Email: sanchayan@sanchayanmaity.net + * Mastodon: https://sanchayanmaity.com/@sanchayan + * Blog: https://sanchayanmaity.net + * Telegram: + - `t.me/fpncr` + - `t.me/SanchayanMaity` diff --git a/list-folds/list-folds.pdf b/list-folds/list-folds.pdf new file mode 100644 index 0000000000000000000000000000000000000000..641d6034bde05c360ea63dd5633ac803ddbe547e GIT binary patch literal 240069 zcmd431zZ*1w?2Fh-Q6MG-7P87AT6PEcZmqn2uOz@Aq^5z(kRl>DM&X+sWbut@0D_c zD49E0x>-?j3vg3jZ73YF)^={@E|eUycE)bzGUld^X67ijZ=<-nxtJTb);!w#aqh#?J)~JiI(E&P!082MS?A&bNN`c zjTIB@+Ds};T*O3$wlKnm-DrEy5(B5*%NGKWt)yL1<_hj#aPHfZbi_m{2A=2R28QQI zceH1x(zDq1OOPbip!MT)F&|W-5EYT}lD`Z8Xk0sp+M!)#`XFXqUH!{;`{`TK&fC}( z4oM&QFfDmrR98yiu-w0=X&gyrdGFRs#=>`1%S$=^lh4bDre5Q%B&aVHk{@j>j(oX{ zd`o|Z(2MxG8pYhf>^d~S5hSc!Jb%Pj^RbgTC5Nu6iH*6b8w!VpyNMgLMc&@n(j0|D 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