在Haskell中的简单列表拼接函数(intersperse)

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英文:

Simple list concatenating function (intersperse) in Haskell

问题

我尝试编写一个 intersperse 函数,它接受一个包含 a 元素的列表(例如字符串列表)和一个单独的 a 元素(比如字符)作为分隔符,然后返回一个包含 a 元素或一个字符串的列表。

例如,如果我调用:

intersperse ',' ["a", "b"]
-- 我将得到 "a,b"

intersperse ',' ["hello"]
-- 我将只得到 "hello"

intersperse ',' ["a", "b", "c"]
-- 我将得到 "a,b,c"

intersperse 1 [[2,3,4], [5,6,7]]
-- 我将得到 [2, 3, 4, 1, 5, 6, 7]

intersperse 1 [[2,3], [4,5], [6,7]]
-- 我将得到 [2, 3, 1, 4, 5, 1, 6, 7]

所以我按照以下方式编写了它,它可以正常工作:

intersperse :: a -> [[a]] -> [a]
intersperse s [] = []
intersperse s (x:[]) = x
intersperse s (x:xs) = loop x xs
  where loop a [] = a
        loop a (x:xs) = loop (a ++ 
展开收缩
++ x) xs

但是如果我给循环函数添加类型签名,它将无法编译,我无法理解出错的原因。

intersperse :: a -> [[a]] -> [a]
intersperse s [] = []
intersperse s (x:[]) = x
intersperse s (x:xs) = loop x xs
  where loop :: [a] -> [[a]] -> [a]
        loop a [] = a
        loop a (x:xs) = loop (a ++ 
展开收缩
++ x) xs
英文:

I'm trying to write an intersperse function that takes a list of lists of a e.g. a list of Strings, and one single a e.g. a char as a separator and returns a list of a or a String.

For example, if I call

intersperse ',' ["a", "b"]
-- I will get "a,b"

intersperse ',' ["hello"]
-- I will get only "hello"

intersperse ',' ["a", "b", "c"]
-- I will get "a,b,c"

intersperse 1 [[2,3,4], [5,6,7]]
-- I will get [2, 3, 4, 1, 5, 6, 7]

intersperse 1 [[2,3], [4,5], [6,7]]
-- I will get [2, 3, 1, 4, 5, 1, 6, 7]
-- 

So I wrote it as follows and it works fine.

intersperse :: a -> [[a]] -> [a]
intersperse s [] = []
intersperse s (x:[]) = x
intersperse s (x:xs) = loop x xs
  where loop a [] = a
        loop a (x:xs) = loop (a ++ 
展开收缩
++ x) xs

But if I add type signature to the loop function it will not compile, and I can't realise what's wrong

intersperse :: a -> [[a]] -> [a]
intersperse s [] = []
intersperse s (x:[]) = x
intersperse s (x:xs) = loop x xs
  where loop :: [a] -> [[a]] -> [a]
        loop a [] = a
        loop a (x:xs) = loop (a ++ 
展开收缩
++ x) xs

答案1

得分: 1

> 但是如果我为循环函数添加类型签名,它将无法编译,我无法意识到问题出在哪里。

这是因为where子句中的a与顶层的a不同。您可以启用**ScopedTypeVariables**扩展 [ghc-doc]来解决这个问题:

<pre><code>{-# LANGUAGE <b>ScopedTypeVariables</b> #-}

intersperse :: <b>forall a.</b> a -&gt; [[a]] -&gt; [a]
intersperse s [] = []
intersperse s (x : []) = x
intersperse s (x : xs) = loop x xs
where
loop :: [a] -&gt; [[a]] -&gt; [a]
loop a [] = a
loop a (x : xs) = loop (a ++

展开收缩
++ x) xs</code></pre>

intersperse 函数不是按需写的,这意味着对于大型列表,在结果交给调用者之前会花费很多时间,并且会消耗大量内存;对于无限列表,它会陷入一个无限循环,直到耗尽内存才会结束。

您可以通过以下方式优化该函数:

<pre><code>intersperse :: a -&gt; [[a]] -&gt; [a]
intersperse s [] = []
intersperse s [x] = x
intersperse s (x : xs) = x ++ go xs
where
go [] = []
go (x : xs) = <b>s : x ++ go xs</b></code></pre>

英文:

> But if I add type signature to the loop function it will not compile, and I can't realise what's wrong.

That is because the a in the where clause is a different one than the one at the top level. You can enable the ScopedTypeVariables extension [ghc-doc] for this:

<pre><code>{-# LANGUAGE <b>ScopedTypeVariables</b> #-}

intersperse :: <b>forall a.</b> a -&gt; [[a]] -&gt; [a]
intersperse s [] = []
intersperse s (x : []) = x
intersperse s (x : xs) = loop x xs
where
loop :: [a] -&gt; [[a]] -&gt; [a]
loop a [] = a
loop a (x : xs) = loop (a ++

展开收缩
++ x) xs</code></pre>

The intersperse function is not written lazily however, this means that for large lists, it will take a lot of time before the result is handed to the caller, and will consume a lot of memory, and for infinite lists, it will get in an infinite loop that will end when memory is exhausted.

You can optimize the function with:

<pre><code>intersperse :: a -&gt; [[a]] -&gt; [a]
intersperse s [] = []
intersperse s [x] = x
intersperse s (x : xs) = x ++ go xs
where
go [] = []
go (x : xs) = <b>s : x ++ go xs</b></code></pre>

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  • 本文由 发表于 2023年6月25日 18:09:04
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