Rust Tips 比较数值

Rust Tips 比较数值

内容

• 比较与类型转换
• 浮点类型比较

可以用这些运算符比较数值

> < == != >= <=

无法比较不同类型的值

fn main() {
  let a: i32 = 10;
  let b: u16 = 100;
  if a < b { // 报错 mismatched types
    println!("Ten is less than one hundred.");
  }
}

解决办法 1：使用 as 进行类型转换

fn main() {
  let a: i32 = 10;
  let b: u16 = 100;
  if a < (b as i32) {
    println!("Ten is less than one hundred.");
  }
}

注意：从比较小的类型转成比较大的类型通常是比较安全的

fn main() {
    let a: i32 = 10;
    let b: u16 = 100;

    if a < (b as i32) {
        println!("10 is less than 100.")
    }

    let c : i32 = 1203414;
    println!("{}", c as i8);
}

运行

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ cargo run                              
   Compiling rust_compare_numerical_values v0.1.0 (/Users/qiaopengjun/rust/rust_compare_numerical_values)
    Finished dev [unoptimized + debuginfo] target(s) in 0.22s
     Running `target/debug/rust_compare_numerical_values`
10 is less than 100.
-42

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ 

解决办法 2：使用 try_into() 进行类型转换

use std::convert::TryInto;

fn main() {
    let a: i32 = 10;
    let b: u16 = 100;

    let b_ = b.try_into().unwrap();

    if a < b_ {
        println!("10 is less than 100.")
    }
}

运行

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ cargo run
   Compiling rust_compare_numerical_values v0.1.0 (/Users/qiaopengjun/rust/rust_compare_numerical_values)
    Finished dev [unoptimized + debuginfo] target(s) in 0.20s
     Running `target/debug/rust_compare_numerical_values`
10 is less than 100.

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ 

try_into() 方法

• 导入 std::convert::TryInto Trait
• 返回 Result 类型

浮点类型（例如 f32、f64）有坑

• 浮点类型所代表的数字仅是近似值
  • 浮点类型是基于 2 进制实现的，但我们通常用 10 进制来计算数值
• 浮点类型的某些值不能很好的结合在一起
  • 例如 f32 和 f64 只实现了 std::cmp::PartialEq，而其它数值类型还实现了std::cmp::Eq

针对浮点类型需遵循的指导方针

• 避免测试浮点类型的相等性
• 如果结果在数学上属于未定义的，这时候要小心

fn main() {
    assert!(0.1 + 0.2 == 0.3);
}

运行

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ cargo run
   Compiling rust_compare_numerical_values v0.1.0 (/Users/qiaopengjun/rust/rust_compare_numerical_values)
    Finished dev [unoptimized + debuginfo] target(s) in 0.15s
     Running `target/debug/rust_compare_numerical_values`
thread 'main' panicked at 'assertion failed: 0.1 + 0.2 == 0.3', src/main.rs:2:5
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ 

例子

fn main() {
    let abc: (f32, f32, f32) = (0.1, 0.2, 0.3);
    let xyz: (f64, f64, f64) = (0.1, 0.2, 0.3);

    println!("abc (f32)");
    println!(" 0.1 + 0.2: {:x}", (abc.0 + abc.1).to_bits());
    println!("       0.3: {:x}", (abc.2).to_bits());
    println!();

    println!("xyz (f64)");
    println!(" 0.1 + 0.2: {:x}", (xyz.0 + xyz.1).to_bits());
    println!("       0.3: {:x}", (xyz.2).to_bits());
    println!();

    assert!(abc.0 + abc.1 == abc.2);
    assert!(xyz.0 + xyz.1 == xyz.2);
}

运行

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ cargo run
   Compiling rust_compare_numerical_values v0.1.0 (/Users/qiaopengjun/rust/rust_compare_numerical_values)
    Finished dev [unoptimized + debuginfo] target(s) in 0.89s
     Running `target/debug/rust_compare_numerical_values`
abc (f32)
 0.1 + 0.2: 3e99999a
       0.3: 3e99999a

xyz (f64)
 0.1 + 0.2: 3fd3333333333334
       0.3: 3fd3333333333333

thread 'main' panicked at 'assertion failed: xyz.0 + xyz.1 == xyz.2', src/main.rs:16:5
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ 

怎么比较浮点类型？

• 一般来说，测试数学运算是否在其真实数学结果的可接受范围内更安全。这个边界通常被称为ε。
• Rust 提供了一些可容忍的误差值：f32::EPSILON 和 f64::EPSILON

fn main() {
    let result: f32 = 0.1 + 0.2;
    let desired: f32 = 0.3;

    let abs_diff = (desired - result).abs();

    assert!(abs_diff <= f32::EPSILON)
}

运行

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ cargo run
   Compiling rust_compare_numerical_values v0.1.0 (/Users/qiaopengjun/rust/rust_compare_numerical_values)
    Finished dev [unoptimized + debuginfo] target(s) in 0.14s
     Running `target/debug/rust_compare_numerical_values`

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ 

例子

fn main() {
    let result: f64 = 0.1 + 0.2;
    let desired: f64 = 0.3;

    print!("{}\n", desired - result);

    let abs_diff = (desired - result).abs();

    assert!(abs_diff <= f64::EPSILON)
}

运行

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ cargo run
   Compiling rust_compare_numerical_values v0.1.0 (/Users/qiaopengjun/rust/rust_compare_numerical_values)
    Finished dev [unoptimized + debuginfo] target(s) in 0.13s
     Running `target/debug/rust_compare_numerical_values`
-0.00000000000000005551115123125783

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ 

• Rust 编译器实际上将比较的工作交给了 CPU，浮点运算是使用芯片内的定制硬件实现的

NAN

• 表示”不是一个数“，例如负数的平方根就是 NAN
• NAN 会影响其它数值：
  • 几乎所有与 NAN 交互的操作都返回 NAN
  • NAN 值永远不相等

fn main() {
    let x = (-42.0_f32).sqrt();

    assert_eq!(x, x);
}

运行

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ cargo run
   Compiling rust_compare_numerical_values v0.1.0 (/Users/qiaopengjun/rust/rust_compare_numerical_values)
    Finished dev [unoptimized + debuginfo] target(s) in 0.38s
     Running `target/debug/rust_compare_numerical_values`
thread 'main' panicked at 'assertion failed: `(left == right)`
  left: `NaN`,
 right: `NaN`', src/main.rs:4:5
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ 

• Is_nan() 和 is_finite() 方法

fn main() {
    let x: f32 = 1.0 / 0.0;

    println!("{}", x);
    
    assert!(x.is_finite());
}

运行

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜ cargo run
   Compiling rust_compare_numerical_values v0.1.0 (/Users/qiaopengjun/rust/rust_compare_numerical_values)
    Finished dev [unoptimized + debuginfo] target(s) in 0.08s
     Running `target/debug/rust_compare_numerical_values`
inf
thread 'main' panicked at 'assertion failed: x.is_finite()', src/main.rs:6:5
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace

rust_compare_numerical_values on  master [?] is 📦 0.1.0 via 🦀 1.67.1 via 🅒 base 
➜