如何编写用于添加泛型类型的两个引用的特征绑定?

How to write a trait bound for adding two references of a generic type?

我有一个 Fibonacci 结构,可以用作任何实现 OneZeroAddClone 的迭代器。这适用于所有整数类型。

我想将此结构用于 BigInteger 类型,这些类型使用 Vec 实现并且调用 clone() 的成本很高。我想在对 T 的两个引用上使用 Add,然后 returns 一个新的 T(然后没有克隆)。

虽然我这辈子都做不出可以编译的...

工作:

extern crate num;

use std::ops::Add;
use std::mem;
use num::traits::{One, Zero};

pub struct Fibonacci<T> {
    curr: T,
    next: T,
}

pub fn new<T: One + Zero>() -> Fibonacci<T> {
    Fibonacci {
        curr: T::zero(),
        next: T::one(),
    }
}

impl<'a, T: Clone + Add<T, Output = T>> Iterator for Fibonacci<T> {
    type Item = T;

    fn next(&mut self) -> Option<T> {
        mem::swap(&mut self.next, &mut self.curr);
        self.next = self.next.clone() + self.curr.clone();
        Some(self.curr.clone())
    }
}

#[test]
fn test_fibonacci() {
    let first_12 = new::<i64>().take(12).collect::<Vec<_>>();
    assert_eq!(vec![1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144], first_12);
}

期望:

extern crate num;

use std::ops::Add;
use std::mem;
use num::traits::{One, Zero};

pub struct Fibonacci<T> {
    curr: T,
    next: T,
}

pub fn new<T: One + Zero>() -> Fibonacci<T> {
    Fibonacci {
        curr: T::zero(),
        next: T::one(),
    }
}

impl<'a, T: Clone + 'a> Iterator for Fibonacci<T>
where
    &'a T: Add<&'a T, Output = T>,
{
    type Item = T;

    fn next(&mut self) -> Option<T> {
        mem::swap(&mut self.next, &mut self.curr);
        self.next = &self.next + &self.curr;
        Some(self.curr.clone())
    }
}

#[test]
fn test_fibonacci() {
    let first_12 = new::<i64>().take(12).collect::<Vec<_>>();
    assert_eq!(vec![1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144], first_12);
}

这给出了错误

error[E0495]: cannot infer an appropriate lifetime for borrow expression due to conflicting requirements
  --> src/main.rs:27:21
   |
27 |         self.next = &self.next + &self.curr;
   |                     ^^^^^^^^^^
   |
note: first, the lifetime cannot outlive the anonymous lifetime #1 defined on the method body at 25:5...
  --> src/main.rs:25:5
   |
25 | /     fn next(&mut self) -> Option<T> {
26 | |         mem::swap(&mut self.next, &mut self.curr);
27 | |         self.next = &self.next + &self.curr;
28 | |         Some(self.curr.clone())
29 | |     }
   | |_____^
note: ...so that reference does not outlive borrowed content
  --> src/main.rs:27:21
   |
27 |         self.next = &self.next + &self.curr;
   |                     ^^^^^^^^^^
note: but, the lifetime must be valid for the lifetime 'a as defined on the impl at 19:1...
  --> src/main.rs:19:1
   |
19 | / impl<'a, T: Clone + 'a> Iterator for Fibonacci<T>
20 | | where
21 | |     &'a T: Add<&'a T, Output = T>,
22 | | {
...  |
29 | |     }
30 | | }
   | |_^
note: ...so that types are compatible (expected std::ops::Add, found std::ops::Add<&'a T>)
  --> src/main.rs:27:32
   |
27 |         self.next = &self.next + &self.curr;
   |                                ^

error[E0495]: cannot infer an appropriate lifetime for borrow expression due to conflicting requirements
  --> src/main.rs:27:34
   |
27 |         self.next = &self.next + &self.curr;
   |                                  ^^^^^^^^^^
   |
note: first, the lifetime cannot outlive the anonymous lifetime #1 defined on the method body at 25:5...
  --> src/main.rs:25:5
   |
25 | /     fn next(&mut self) -> Option<T> {
26 | |         mem::swap(&mut self.next, &mut self.curr);
27 | |         self.next = &self.next + &self.curr;
28 | |         Some(self.curr.clone())
29 | |     }
   | |_____^
note: ...so that reference does not outlive borrowed content
  --> src/main.rs:27:34
   |
27 |         self.next = &self.next + &self.curr;
   |                                  ^^^^^^^^^^
note: but, the lifetime must be valid for the lifetime 'a as defined on the impl at 19:1...
  --> src/main.rs:19:1
   |
19 | / impl<'a, T: Clone + 'a> Iterator for Fibonacci<T>
20 | | where
21 | |     &'a T: Add<&'a T, Output = T>,
22 | | {
...  |
29 | |     }
30 | | }
   | |_^
note: ...so that reference does not outlive borrowed content
  --> src/main.rs:27:34
   |
27 |         self.next = &self.next + &self.curr;
   |                                  ^^^^^^^^^^

How to write a trait bound for adding two references of a generic type?

让我们从一个简化的例子开始:

fn add_things<T>(a: &T, b: &T) {
    a + b;
}

这里有错误

error[E0369]: binary operation `+` cannot be applied to type `&T`
 --> src/lib.rs:2:5
  |
2 |     a + b;
  |     ^^^^^
  |
  = note: an implementation of `std::ops::Add` might be missing for `&T`

正如编译器提示的那样,我们需要保证 Add 是为 &T 实现的。我们可以通过向我们的类型添加显式生命周期并在我们的特征边界中使用它来直接表达:

use std::ops::Add;

fn add_things<'a, T>(a: &'a T, b: &'a T)
where
    &'a T: Add,
{
    a + b;
}

接下来,让我们尝试一种稍微不同的方法 — 我们将在函数内部创建一个引用,而不是传递引用:

fn add_things<T>(a: T, b: T) {
    let a_ref = &a;
    let b_ref = &b;

    a_ref + b_ref;
}

我们得到同样的错误:

error[E0369]: binary operation `+` cannot be applied to type `&T`
 --> src/lib.rs:5:5
  |
5 |     a_ref + b_ref;
  |     ^^^^^^^^^^^^^
  |
  = note: an implementation of `std::ops::Add` might be missing for `&T`

但是,尝试添加与以前相同的修复程序不起作用。这也有点尴尬,因为生命周期与传入的任何参数都没有关联:

use std::ops::Add;

fn add_things<'a, T: 'a>(a: T, b: T)
where
    &'a T: Add,
{
    let a_ref = &a;
    let b_ref = &b;

    a_ref + b_ref;
}
error[E0597]: `a` does not live long enough
  --> src/lib.rs:7:17
   |
3  | fn add_things<'a, T: 'a>(a: T, b: T)
   |               -- lifetime `'a` defined here
...
7  |     let a_ref = &a;
   |                 ^^
   |                 |
   |                 borrowed value does not live long enough
   |                 assignment requires that `a` is borrowed for `'a`
...
11 | }
   | - `a` dropped here while still borrowed

'a 生命周期放在 impl 上意味着方法的 caller 可以确定生命周期应该是多少。由于引用是在方法内部获取的,因此调用者甚至无法看到该生命周期是多少。

相反,您想限制任意生命周期的引用实现特征。这称为 Higher Ranked Trait Bound (HRTB):

use std::ops::Add;

fn add_things<T>(a: T, b: T)
where
    for<'a> &'a T: Add,
{
    let a_ref = &a;
    let b_ref = &b;

    a_ref + b_ref;
}

应用回您的原始代码,您非常接近:

impl<T> Iterator for Fibonacci<T>
where
    T: Clone,
    for<'a> &'a T: Add<Output = T>,
{
    type Item = T;

    fn next(&mut self) -> Option<T> {
        mem::swap(&mut self.next, &mut self.curr);
        self.next = &self.next + &self.curr;
        Some(self.curr.clone())
    }
}

另请参阅: