Logs: freenode/#haskell
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| 2021-03-31 22:48:26 | <cmeans> | Hi, newbie to Haskell...going through Youtube videos at present...got a random question...is there a way to declare a type of List that has a fixed length? |
| 2021-03-31 22:48:55 | <cmeans> | Sort of, type Row a = [a], length [a] == 7 |
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| 2021-03-31 22:54:50 | <hpc> | is this a "point me at a package" question or a "how would it work" question? |
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| 2021-03-31 23:00:07 | <cmeans> | More of a can it be done, if it even makes sense, and if so, how. |
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| 2021-03-31 23:01:34 | <cmeans> | I'm a seasoned programmer, but new to functional programming. |
| 2021-03-31 23:01:46 | <hpc> | so, it does make sense |
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| 2021-03-31 23:02:09 | <hpc> | and the generalization of that idea is one of my favorite topics in computer science |
| 2021-03-31 23:02:17 | <cmeans> | OK, I'm ahead by 1. |
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| 2021-03-31 23:02:32 | <hpc> | the thing to google is "dependent types", meaning types that depend on values |
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| 2021-03-31 23:02:59 | <cmeans> | Excellent. I'm off. Thanks hpc. |
| 2021-03-31 23:03:09 | <hpc> | or in other words, type-level functions that take value-level things as parameters |
| 2021-03-31 23:03:14 | <hpc> | :D |
| 2021-03-31 23:03:43 | <cmeans> | =L |
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| 2021-03-31 23:25:10 | <dmwit> | ?pl \n -> scanl (\v i -> v * (n-i+1) `div` i) 1 [1..n] |
| 2021-03-31 23:25:10 | <lambdabot> | ap (flip scanl 1 . flip ((.) . (*)) . join . (div .) . flip flip 1 . ((+) .) . (-)) (enumFromTo 1) |
| 2021-03-31 23:25:36 | <dmwit> | ?let f = \n -> scanl (\v i -> v * (n-i+1) `div` i) 1 [1..n]; g = ap (flip scanl 1 . flip ((.) . (*)) . join . (div .) . flip flip 1 . ((+) .) . (-)) (enumFromTo 1) |
| 2021-03-31 23:25:38 | <lambdabot> | Defined. |
| 2021-03-31 23:25:42 | <dmwit> | > f 10 |
| 2021-03-31 23:25:43 | <lambdabot> | error: |
| 2021-03-31 23:25:43 | <lambdabot> | Ambiguous occurrence ‘f’ |
| 2021-03-31 23:25:43 | <lambdabot> | It could refer to |
| 2021-03-31 23:25:47 | <dmwit> | ?undefine |
| 2021-03-31 23:25:47 | <lambdabot> | Undefined. |
| 2021-03-31 23:25:57 | <dmwit> | ?let pointful = \n -> scanl (\v i -> v * (n-i+1) `div` i) 1 [1..n]; pointless = ap (flip scanl 1 . flip ((.) . (*)) . join . (div .) . flip flip 1 . ((+) .) . (-)) (enumFromTo 1) |
| 2021-03-31 23:25:58 | <lambdabot> | Defined. |
| 2021-03-31 23:26:01 | <dmwit> | > pointful 10 |
| 2021-03-31 23:26:03 | <lambdabot> | [1,10,45,120,210,252,210,120,45,10,1] |
| 2021-03-31 23:26:04 | <dmwit> | > pointless 10 |
| 2021-03-31 23:26:05 | <lambdabot> | [1,10,40,80,80,80,0,0,0,0,0] |
| 2021-03-31 23:26:23 | <dmwit> | ? |
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| 2021-03-31 23:27:30 | <hpc> | :t pointful |
| 2021-03-31 23:27:31 | <lambdabot> | Integral a => a -> [a] |
| 2021-03-31 23:27:34 | <hpc> | :t pointless |
| 2021-03-31 23:27:35 | <lambdabot> | Integral a => a -> [a] |
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| 2021-03-31 23:27:40 | <hpc> | oh wait, duh |
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| 2021-03-31 23:29:16 | <dmwit> | Ah, I bet this is the bug: |
| 2021-03-31 23:29:22 | <dmwit> | ?pl \x y z -> x * y `div` z |
| 2021-03-31 23:29:22 | <lambdabot> | (. div) . (.) . (*) |
| 2021-03-31 23:29:29 | <dmwit> | ?pl \x y z -> x * (y `div` z) |
| 2021-03-31 23:29:29 | <lambdabot> | (. div) . (.) . (*) |
| 2021-03-31 23:29:57 | <hpc> | > 6 * 4 `div` 3 |
| 2021-03-31 23:29:59 | <lambdabot> | 8 |
| 2021-03-31 23:30:01 | <dmwit> | ?pl \n -> scanl (\v i -> (v * (n-i+1)) `div` i) 1 [1..n] |
| 2021-03-31 23:30:01 | <lambdabot> | ap (flip scanl 1 . flip flip id . (liftM2 div .) . flip ((.) . (*)) . flip flip 1 . ((+) .) . (-)) (enumFromTo 1) |
| 2021-03-31 23:30:19 | <hpc> | > ((. div) . (.) . (*)) 6 4 3 |
| 2021-03-31 23:30:21 | <lambdabot> | 6 |
| 2021-03-31 23:30:24 | <hpc> | fun |
| 2021-03-31 23:30:30 | <dmwit> | ?let pointless' = ap (flip scanl 1 . flip flip id . (liftM2 div .) . flip ((.) . (*)) . flip flip 1 . ((+) .) . (-)) (enumFromTo 1) |
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