我已经了解了多态递归,并且理解为什么它是一种特殊情况,因此 F# 需要完整的类型注释。
对于常规功能,我可能需要一些技巧,但通常会做对。现在我正在尝试使(工作)基础适应toSeq
更专业的手指树,但不能。
我的感觉是计算表达式的使用与它有关。这是精简的工作版本:
module ThisWorks =
module Node =
type Node<'a> =
| Node2 of 'a * 'a
| Node3 of 'a * 'a * 'a
let toList = function
| Node2(a, b) -> [a; b]
| Node3(a, b, c) -> [a; b; c]
module Digit =
type Digit<'a> =
| One of 'a
| Two of 'a * 'a
| Three of 'a * 'a * 'a
| Four of 'a * 'a * 'a * 'a
let toList = function
| One a -> [a]
| Two(a, b) -> [a; b]
| Three(a, b, c) -> [a; b; c]
| Four(a, b, c, d) -> [a; b; c; d]
module FingerTree =
open Node
open Digit
type FingerTree<'a> =
| Empty
| Single of 'a
| Deep of Digit<'a> * Lazy<FingerTree<Node<'a>>> * Digit<'a>
let rec toSeq<'a> (tree:FingerTree<'a>) : seq<'a> = seq {
match tree with
| Single single ->
yield single
| Deep(prefix, Lazy deeper, suffix) ->
yield! prefix |> Digit.toList
yield! deeper |> toSeq |> Seq.collect Node.toList
yield! suffix |> Digit.toList
| Empty -> ()
}
我无法编译的是这个:
module ThisDoesnt =
module Monoids =
type IMonoid<'m> =
abstract Zero:'m
abstract Plus:'m -> 'm
type IMeasured<'m when 'm :> IMonoid<'m>> =
abstract Measure:'m
type Size(value) =
new() = Size 0
member __.Value = value
interface IMonoid<Size> with
member __.Zero = Size()
member __.Plus rhs = Size(value + rhs.Value)
type Value<'a> =
| Value of 'a
interface IMeasured<Size> with
member __.Measure = Size 1
open Monoids
module Node =
type Node<'m, 'a when 'm :> IMonoid<'m>> =
| Node2 of 'm * 'a * 'a
| Node3 of 'm * 'a * 'a * 'a
let toList = function
| Node2(_, a, b) -> [a; b]
| Node3(_, a, b, c) -> [a; b; c]
module Digit =
type Digit<'m, 'a when 'm :> IMonoid<'m>> =
| One of 'a
| Two of 'a * 'a
| Three of 'a * 'a * 'a
| Four of 'a * 'a * 'a * 'a
let toList = function
| One a -> [a]
| Two(a, b) -> [a; b]
| Three(a, b, c) -> [a; b; c]
| Four(a, b, c, d) -> [a; b; c; d]
module FingerTree =
open Node
open Digit
type FingerTree<'m, 'a when 'm :> IMonoid<'m>> =
| Empty
| Single of 'a
| Deep of 'm * Digit<'m, 'a> * Lazy<FingerTree<'m, Node<'m, 'a>>> * Digit<'m, 'a>
let unpack (Value v) = v
let rec toSeq<'a> (tree:FingerTree<Size, Value<'a>>) : seq<'a> = seq {
match tree with
| Single(Value single) ->
yield single
| Deep(_, prefix, Lazy deeper, suffix) ->
yield! prefix |> Digit.toList |> List.map unpack
#if ITERATE
for (Value deep) in toSeq deeper do
^^^^^
yield deep
#else
yield! deeper |> toSeq |> Seq.collect (Node.toList >> List.map unpack)
^^^^^
#endif
yield! suffix |> Digit.toList |> List.map unpack
| Empty -> ()
}
我收到的错误消息说
错误类型不匹配。期望
FingerTree<Size,Node<Size,Value<'a>>> -> 'b
但给定了
FingerTree<Size,Value<'c>> -> seq<'c>
类型 'Node<Size,Value< 'a>>' 与类型 'Value<'b>' 不匹配
曲线下划线的递归调用toSeq
。
我知道“更深”的类型被封装在 aNode
中,并且在工作代码中我只是在之后解压缩它。但是在我有机会解包之前,编译器已经跳闸了。尝试 afor (Value deep) in toSeq deeper do yield deep
有同样的问题。
我已经有一个出路,即使用不正确,尝试会产生非常相似的错误消息。toSeq
“基地”Tree
和Seq.map unpack
之后。
我很好奇是什么让这段代码中断以及如何修复它。