readsPrec和相关函数如何返回[Red]以读取“[Red]”。 :: [颜色] [英] How does readsPrec and the relative functions return [Red] for read "[Red]" :: [Color]

查看:156
本文介绍了readsPrec和相关函数如何返回[Red]以读取“[Red]”。 :: [颜色]的处理方法,对大家解决问题具有一定的参考价值,需要的朋友们下面随着小编来一起学习吧!

问题描述

这个问题是执行时会发生什么(读取[Red]):: [颜色] 在ghci?下。从 user5402的答案,我知道有一个非常复杂的执行路径读取[Red] :: [Color] ,其中包括 readsPrec readsPrecList 。根据@ user5402的评论, readsPrecList 调用 readsPrec ,所以 readsPrec 返回 [(Red,])] readsPrecList ,然后我们将得到最终结果 [Red] 来自 readsPrecList 。然而,我仍然不明白链接的哪些功能对应于他的 readsPrecList 及其实现细节。

解决方案

相关定义可在报告中找到,看起来像这样:

  read ::(Read a)=>字符串 - > 
读取s = case [x | (x,t)< - 读取
[x] - >的s,(,) - lex t] x
[] - >错误Prelude.read:no parse
_ - >错误Prelude.read:ambiguous parse

reads ::(Read a)=>读取a
reads = readsPrec 0

实例(读取a)=>阅读[a]其中
readsPrec p = readList

class读取其中
readsPrec :: Int - > ReadS a
readList :: ReadS [a]
readList = readParen False(\r - > [pr |([,s)< - lex r,
pr< ; - readl s])
其中readl s = [([],t)| (],t)< - lex s] ++
[(x:xs,u)| (x,t)< - 读取s,
(xs,u)< - readl't]
readl's = [([],t)| (],t)< - lex s] ++
[(x:xs,v)| (x',v)< - readl'u]
$ b(x,u)<读取t,
$ b readParen :: Bool - >读取a - >读一个
readParen b g =如果b那么强制其他可选
其中可选r = g r ++强制r
强制r = [(x,u)| | ('(,s) - lex r,
(x,t)) - 可选的s,
(),u) - lex t]

执行 lex 太大了,它使Haskell松懈。



下面的一段长期的等式推理可以追溯到完整的评估。我假设 Read Color 实例的实现是派生的。由于这里的兴趣是列表和非列表之间的联系,我没有在基类型 Color 上扩展和评估 reads 的细节。 c $ c $。

pre $ 读取[Red]:: [([Color],String)]
= {读取的定义}
readsPrec 0[Red]
= {readsPrec @ [Color]的定义}
readList[Red]
= {readList的定义@Color}
readParen False(\r - > [pr |([,s)< - lex r,pr < - readl s])[Red]
where readl s = [([],t)| (],t)< - lex s] ++
[(x:xs,u)| (x,t)< - 读取s,
(xs,u)< - readl't]
readl's = [([],t)| (],t)< - lex s] ++
[(x:xs,v)| (x',v)< - readl'u]
= {b,x,u)定义readParen}
(\r - > [pr |([,s)< - lex r,pr < - readl s] ++强制r)[Red]
where readl s = [([],t)| (],t)< - lex s] ++
[(x:xs,u)| (x,t)< - 读取s,
(xs,u)< - readl't]
readl's = [([],t)| (],t)< - lex s] ++
[(x:xs,v)| (x',v)< - 读取'u]
强制性r(b,x) = [(x,u)| ((,s)< - lex r,
(x,t)< - 可选的s,
(),u)< - lex t]
= {beta reduction}
[pr | ([,s) - lex[Red],pr < - readl s] ++强制性的[Red]
其中{ - 与之前相同 - }
= {评估`强制性'[红色]`和`(++)`}
[pr | ([,s) - lex[Red],pr < - readl s]
其中{ - 与之前相同 - }
= {lex[Red]= ([,Red)]}
[pr | pr < - readlRed]]
其中{ - 与之前相同 - }
= {这种缩减的名称,但我不知道}
readl Red
where { - 与之前相同 - }
= {readl的定义}
[([],t)| (],t)< - lexRed]] ++
[(x:xs,u)| (x,t)< - 读出Red],
(xs,u)< - readl't]
其中
readl's = [([],t) | (],t)< - lex s] ++
[(x:xs,v)| (x',v)< - readl'u]
= {b,x,u) lexRed]= [(Red,])]加评估(++)}
[(x:xs,u)| (x,t)< - 读取Red,
(xs,u)< - readl't]
其中{ - 与之前相同 - }
= {读取红色]= [(红色,])]}
[(红色:xs,u)| (xs,u)< - readl']]
其中{ - 与之前相同 - }
= {readl'的定义}
[(Red:xs,u)| (xs,u)< - [([],t)| (],t)< - lex]] ++
[(x:xs,v)| (x',v)< - readl'u]] $ b $(x,u)< - 读取t,
b其中{ - 与以前相同 - }
= {lex]= [(],)]}
[(Red:xs,u)| (++)和列表理解}
[([Red],)的评估(++) )]

我们可以将此派生用作评估读取的构建块,因为这是您的顶级问题。

 读取[Red]:: [Color ] 
= {读取的定义}
案例[x | (x,t)< - 读取
[x] - >的[Red],(,)< - lex t] x
[] - >错误Prelude.read:no parse
_ - >错误Prelude.read:ambiguous parse
= {reads[Red]= [([Red],)]}
case [[Red] | (,)< - lex]的
[x] - > x
[] - >错误Prelude.read:no parse
_ - >错误Prelude.read:ambiguous parse
= {lex= [(,)]}
case [[Red]] of
[x] - > x
[] - >错误Prelude.read:no parse
_ - >错误Prelude.read:ambiguous parse
= {同样有一个名称用于缩减情况,但我不知道它}
[Red]


This question is a continuation of what happens when executing (read "[Red]") :: [Color] under ghci?. From user5402's answer, I know that there is a very complex execution path for read "[Red]" :: [Color] , which includes readsPrec and readsPrecList. According to @user5402's comments, readsPrecList call the readsPrec, so readsPrec returns [(Red,"]")] to readsPrecList and then we will get the final result [Red] from readsPrecList. However, I still cannot understand what function of the link corresponds to his readsPrecList and its implementation details.

解决方案

The relevant definitions are available in the Report, and look like this:

read             :: (Read a) => String -> a
read s           =  case [x | (x,t) <- reads s, ("","") <- lex t] of
                         [x] -> x
                         []  -> error "Prelude.read: no parse"
                         _   -> error "Prelude.read: ambiguous parse"

reads            :: (Read a) => ReadS a
reads            =  readsPrec 0

instance  (Read a) => Read [a]  where
    readsPrec p      = readList

class  Read a  where
    readsPrec        :: Int -> ReadS a
    readList         :: ReadS [a]
    readList         = readParen False (\r -> [pr | ("[",s)  <- lex r,
                                                    pr       <- readl s])
                       where readl  s = [([],t)   | ("]",t)  <- lex s] ++
                                        [(x:xs,u) | (x,t)    <- reads s,
                                                    (xs,u)   <- readl' t]
                             readl' s = [([],t)   | ("]",t)  <- lex s] ++
                                        [(x:xs,v) | (",",t)  <- lex s,
                                                    (x,u)    <- reads t,
                                                    (xs,v)   <- readl' u]

readParen        :: Bool -> ReadS a -> ReadS a
readParen b g    =  if b then mandatory else optional
                    where optional r  = g r ++ mandatory r
                          mandatory r = [(x,u) | ("(",s) <- lex r,
                                                 (x,t)   <- optional s,
                                                 (")",u) <- lex t    ]

The implementation of lex is much too large to include here -- it lexes Haskell.

A longish piece of equational reasoning below traces the full evaluation. I assume the implementation of the Read Color instance is the derived one. Since the interest here is the connection between lists and non-lists, I elide the details of expanding and evaluating reads at the base type Color.

reads "[Red]" :: [([Color], String)]
= { definition of reads }
readsPrec 0 "[Red]"
= { definition of readsPrec @[Color] }
readList "[Red]"
= { definition of readList @Color }
readParen False (\r -> [pr | ("[",s)  <- lex r, pr <- readl s]) "[Red]"
    where readl  s = [([],t)   | ("]",t)  <- lex s] ++
                     [(x:xs,u) | (x,t)    <- reads s,
                                 (xs,u)   <- readl' t]
          readl' s = [([],t)   | ("]",t)  <- lex s] ++
                     [(x:xs,v) | (",",t)  <- lex s,
                                 (x,u)    <- reads t, 
                                 (xs,v)   <- readl' u]
= { definition of readParen }
(\r -> [pr | ("[",s) <- lex r, pr <- readl s] ++ mandatory r) "[Red]"
    where readl  s = [([],t)   | ("]",t)  <- lex s] ++
                     [(x:xs,u) | (x,t)    <- reads s,
                                 (xs,u)   <- readl' t]
          readl' s = [([],t)   | ("]",t)  <- lex s] ++
                     [(x:xs,v) | (",",t)  <- lex s,
                                 (x,u)    <- reads t, 
                                 (xs,v)   <- readl' u]
          mandatory r = [(x,u) | ("(",s) <- lex r,
                                 (x,t)   <- optional s,
                                 (")",u) <- lex t]
= { beta reduction }
[pr | ("[",s) <- lex "[Red]", pr <- readl s] ++ mandatory "[Red]"
    where {- same as before -}
= { evaluation of `mandatory "[Red]"` and `(++)` }
[pr | ("[",s) <- lex "[Red]", pr <- readl s]
    where {- same as before -}
= { lex "[Red]" = [("[", "Red]")] }
[pr | pr <- readl "Red]"]
    where {- same as before -}
= { there's a name for this kind of reduction, but I don't know it }
readl "Red]"
    where {- same as before -}
= { definition of readl }
[([],t)   | ("]",t)  <- lex "Red]"] ++
[(x:xs,u) | (x,t)    <- reads "Red]",
            (xs,u)   <- readl' t]
where
          readl' s = [([],t)   | ("]",t)  <- lex s] ++
                     [(x:xs,v) | (",",t)  <- lex s,
                                 (x,u)    <- reads t, 
                                 (xs,v)   <- readl' u]
= { lex "Red]" = [("Red", "]")] plus evaluation of (++) }
[(x:xs,u) | (x,t)    <- reads "Red]",
            (xs,u)   <- readl' t]
where {- same as before -}
= { reads "Red]" = [(Red, "]")] }
[(Red:xs,u) | (xs,u) <- readl' "]"]
where {- same as before -}
= { definition of readl' }
[(Red:xs,u) | (xs,u) <- [([],t)   | ("]",t)  <- lex "]"] ++
                        [(x:xs,v) | (",",t)  <- lex "]",
                                    (x,u)    <- reads t, 
                                    (xs,v)   <- readl' u]]
where {- same as before -}
= { lex "]" = [("]", "")] }
[(Red:xs,u) | (xs,u) <- [([],"")] ++ []]
= { evaluation of (++) and the list comprehension }
[([Red],"")]

We can use this derivation as a building block for evaluating read, since that's your top-level question.

read "[Red]" :: [Color]
= { definition of read }
case [x | (x,t) <- reads "[Red]", ("","") <- lex t] of
    [x] -> x
    []  -> error "Prelude.read: no parse"
    _   -> error "Prelude.read: ambiguous parse"
= { reads "[Red]" = [([Red], "")] }
case [[Red] | ("","") <- lex ""] of
    [x] -> x
    []  -> error "Prelude.read: no parse"
    _   -> error "Prelude.read: ambiguous parse"
= { lex "" = [("", "")] }
case [[Red]] of
    [x] -> x
    []  -> error "Prelude.read: no parse"
    _   -> error "Prelude.read: ambiguous parse"
= { again there's a name for case reduction but I don't know it }
[Red]

这篇关于readsPrec和相关函数如何返回[Red]以读取“[Red]”。 :: [颜色]的文章就介绍到这了,希望我们推荐的答案对大家有所帮助,也希望大家多多支持IT屋!

查看全文
登录 关闭
扫码关注1秒登录
发送“验证码”获取 | 15天全站免登陆