Created
February 8, 2018 15:48
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| [package] | |
| name = "bigint" | |
| version = "0.1.0" | |
| authors = ["Anon"] | |
| [dependencies] | |
| ramp = "0.3.11" | |
| lazy_static = "1.0.0" |
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| #[macro_use] | |
| extern crate lazy_static; | |
| extern crate ramp; | |
| use ramp::Int; | |
| lazy_static! { | |
| static ref THREE: Int = Int::from(3); | |
| static ref P: Int = { | |
| Int::from_str_radix( | |
| "115792089237316195423570985008687907853269984665640564039457584007908834671663", | |
| 10, | |
| ).unwrap() | |
| }; | |
| static ref P2: Int = { | |
| &*P - Int::from(2) | |
| }; | |
| } | |
| #[derive(PartialEq, Clone, Debug)] | |
| struct Point { | |
| x: Int, | |
| y: Int, | |
| } | |
| fn point_add(p: &Point, q: &Point) -> Point { | |
| let lam = if p.x == q.x && p.y == q.y { | |
| &*THREE * &p.x.pow(2) * ((&p.y + &p.y) % &*P).pow_mod(&*P2, &*P) | |
| } else { | |
| (&q.x - &p.x).pow_mod(&*P2, &*P) * (&q.y - &p.y) % &*P | |
| }; | |
| let rx = (lam.pow(2) - &p.x - &q.x) % &*P; | |
| let mut ry = (&lam * (&p.x - &rx) - &p.y) % &*P; | |
| if ry < 0 { | |
| ry += &*P; | |
| } | |
| Point { x: rx, y: ry } | |
| } | |
| fn point_mul(p: &Point, mut d: u32) -> Point { | |
| let mut n = p.clone(); | |
| let mut q = None; | |
| for _ in 0..256 { | |
| let last_bit = d & 1 == 1; | |
| d >>= 1; | |
| if last_bit { | |
| q = Some(q.map_or_else(|| n.clone(), |q| point_add(&q, &n))); | |
| } | |
| n = point_add(&n, &n); | |
| } | |
| q.unwrap() | |
| } | |
| fn main() { | |
| let g = Point { | |
| x: Int::from_str_radix( | |
| "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", | |
| 16, | |
| ).unwrap(), | |
| y: Int::from_str_radix( | |
| "483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8", | |
| 16, | |
| ).unwrap(), | |
| }; | |
| let res = point_mul(&g, 125); | |
| println!(" {}", res.x); | |
| println!(" {}", res.y); | |
| } |
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