finitefields

允许在有限域上执行简单的代数运算

参数

• value - 以 value % 模 的形式表示的数字
• modulo - 与模空间大小相对应的整数。为了成为一个有限域，它必须是一个 素数！

操作

• 加法
• 减法
• 乘法
• 除法
• 求逆

示例

// Simple operations within a finite field

use finitefields::{FF,Finitefield,primes};

fn main(){
    // Pick a prime
    let modulo = primes::PRIMES31[0];
    // Define numbers to be cast into our field
    let num1: FF = 23742687;
    let num2: FF = 87129774;

    let fnum1 = Finitefield::new(num1, modulo).unwrap();
    let fnum2 = Finitefield::new(num2, modulo).unwrap();

    // Compute product
    let product = fnum1 * fnum2;
    assert_eq!(product.value, 174523906);

    // Compute the inverse of the product
    let product_inv = product.inverse().unwrap();
    assert_eq!(product_inv.value, 486606559);

    // Multiply by the product
    assert_eq!((product * product_inv).value, 1);
}