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Clean up project code and add better documentation

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This commit is contained in:
Zach Dziura 2016-05-10 15:07:49 -04:00
parent 53329646ab
commit 2965e9e7e7
4 changed files with 199 additions and 144 deletions
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3
Cargo.toml
View file

@ -6,8 +6,10 @@ description = "A cryptographically secure prime number generator"
repository = "https://github.com/zcdziura/pumpkin" repository = "https://github.com/zcdziura/pumpkin"
keywords = ["prime", "number", "cryptography", "generator"] keywords = ["prime", "number", "cryptography", "generator"]
license = "Unlicense/MIT" license = "Unlicense/MIT"
readme = "README.md"
[dependencies] [dependencies]
clippy = {version = "0.0.*", optional = true}
custom_derive = "0.1.*" custom_derive = "0.1.*"
newtype_derive = "0.1.*" newtype_derive = "0.1.*"
ramp = "0.2.*" ramp = "0.2.*"
@ -19,4 +21,5 @@ path = "src/lib.rs"
doctest = false doctest = false
[features] [features]
dev = ["clippy"]
unstable = [] unstable = []

9
examples/multiply.rs
View file

@ -4,9 +4,10 @@ use pumpkin::Prime;
fn main() { fn main() {
let p = Prime::new(2048); let p = Prime::new(2048);
let q = Prime::new(2048); println!("{:x}", p);
println!("{}", p); let q = Prime::new(2048);
println!("{}", q); println!("\n{:x}", q);
println!("\n{}", p * q);
println!("\n{:X}", p * q);
} }

69
src/lib.rs
View file

@ -1,35 +1,38 @@
#![feature(test)] #![feature(test)]
#![deny(missing_docs, missing_debug_implementations,
missing_copy_implementations, trivial_casts, trivial_numeric_casts,
unsafe_code, unused_import_braces, unused_qualifications)]
#![cfg_attr(feature = "dev", feature(plugin))]
#![cfg_attr(feature = "dev", plugin(clippy))]
/// # The Pumpkin Prime Number Generator //! A crate for generating large, cryptographically secure prime numbers.
/// //! `Primes` are seeded from the operating system's main source of entropy,
/// The `pumpkin` prime number generator library can be used to generate //! ensuring proper randomness.
/// prime numbers of any reasonable length, suitable for any cryptographic //!
/// purpose. All numbers generated are seeded from the operating system's //! `Primes` must be AT LEAST 512-bits long. Attempting to generate a `Prime`
/// secure source of entrophy and are verified using three different primality //! less than 512-bits long will cause a panic.
/// tests. //!
/// //! ## Example
/// Primes have to be AT LEAST 512-bits long. Any lower bit-length will //!
/// immediately fail. //! ```
/// //! extern crate pumpkin;
/// ## Examples //!
/// //! use pumpkin::Prime;
/// ``` //!
/// extern crate pumpkin; //! fn main() {
/// //! // Generate 2048-bit primes
/// use pumpkin::Prime; //! let p = Prime::new(2048);
/// //! let q = Prime::new(2048);
/// fn main() { //!
/// // Generate a 2048-bit prime number //! let n = p * q;
/// let p = Prime::new(2048); //! println!("{}", n); // Some 4096-bit composite number
/// let q = Prime::new(2048); //! }
/// //! ```
/// let r = p * q;
/// println!("{}", r); // Some ridiculously large number
/// }
/// ```
#[macro_use] extern crate custom_derive; #[macro_use]
#[macro_use] extern crate newtype_derive; extern crate custom_derive;
#[macro_use]
extern crate newtype_derive;
extern crate ramp; extern crate ramp;
extern crate rand; extern crate rand;
extern crate test; extern crate test;
@ -52,28 +55,22 @@ mod tests {
#[test] #[test]
#[should_panic] #[should_panic]
fn test_new_small_prime_from_rng() { fn test_new_small_prime_from_rng() {
let mut rngesus = match OsRng::new() { let mut rngesus = OsRng::new().unwrap();
Ok(rng) => rng,
Err(reason) => panic!("An error occurred when initializing the RNG: {}", reason)
};
Prime::from_rng(511, &mut rngesus); Prime::from_rng(511, &mut rngesus);
} }
#[bench] #[bench]
#[ignore]
fn bench_generate_512_bit_prime(b: &mut Bencher) { fn bench_generate_512_bit_prime(b: &mut Bencher) {
b.iter(|| Prime::new(512)); b.iter(|| Prime::new(512));
} }
#[bench] #[bench]
#[ignore]
fn bench_generate_1024_bit_prime(b: &mut Bencher) { fn bench_generate_1024_bit_prime(b: &mut Bencher) {
b.iter(|| Prime::new(1024)); b.iter(|| Prime::new(1024));
} }
#[bench] #[bench]
#[ignore]
fn bench_generate_2048_bit_prime(b: &mut Bencher) { fn bench_generate_2048_bit_prime(b: &mut Bencher) {
b.iter(|| Prime::new(2048)); b.iter(|| Prime::new(2048));
} }

262
src/prime.rs
View file

@ -2,69 +2,103 @@ use ramp::{Int, RandomInt};
use rand::{OsRng, thread_rng}; use rand::{OsRng, thread_rng};
use std::fmt; static SMALL_PRIMES: [u32; 999] = [3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59,
61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127,
static SMALL_PRIMES: [u32; 999] = [3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191,
67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257,
173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331,
281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401,
409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467,
541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563,
659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631,
809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709,
941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797,
1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877,
1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967,
1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033,
1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097,
1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181,
1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249,
1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307,
1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423,
2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481,
2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549,
2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609,
2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693,
2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759,
2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861,
2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931,
2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003,
3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083,
3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143,
3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243,
3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311,
3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383,
3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459,
3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551,
3931, 3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657,
4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 4217, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707,
4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777,
4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851,
4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939,
4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023,
4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119,
4931, 4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 5021, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209,
5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301,
5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361,
5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461,
5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533,
5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607,
5737, 5741, 5743, 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677,
5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007, 6011, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767,
6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851,
6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923,
6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013,
6397, 6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 4091, 4093,
6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177,
6709, 6719, 6733, 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259,
6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, 6977, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349,
6983, 6991, 6997, 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447,
7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519,
7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621,
7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691,
7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789,
7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889,
7873, 7877, 7879, 7883, 7901, 7907, 7919]; 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967,
4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 5021, 5023,
5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113,
5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227,
5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309,
5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413,
5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479,
5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563,
5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653,
5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737,
5741, 5743, 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821,
5827, 5839, 5843, 5849, 5851, 5857, 5861, 5867, 5869, 5879,
5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007,
6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089,
6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173,
6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263,
6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329,
6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397,
6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529,
6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607,
6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701,
6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779, 6781, 6791,
6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, 6863, 6869,
6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961,
6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027,
7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129,
7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229,
7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331,
7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457,
7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529,
7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589,
7591, 7603, 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681,
7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757,
7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873,
7877, 7879, 7883, 7901, 7907, 7919];
/// An arbitrarily-length prime number, suitable for cryptographic purposes. /// An arbitrarily-length prime number, suitable for cryptographic purposes.
/// ///
@ -95,12 +129,15 @@ static SMALL_PRIMES: [u32; 999] = [3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41,
/// as well. `Prime`s simply claim that the number you're dealing with is a /// as well. `Prime`s simply claim that the number you're dealing with is a
/// prime number. /// prime number.
custom_derive! { custom_derive! {
#[derive(Debug, /// A cryptographically secure prime number.
NewtypeAdd, NewtypeAdd(Int), #[derive(NewtypeDebug, NewtypeDisplay, NewtypeBinary, NewtypeOctal,
NewtypeSub, NewtypeSub(Int), NewtypeLowerHex, NewtypeUpperHex, NewtypeAdd, NewtypeAdd(Int),
NewtypeMul, NewtypeMul(Int), NewtypeSub, NewtypeSub(Int), NewtypeMul, NewtypeMul(Int), NewtypeDiv,
NewtypeDiv, NewtypeDiv(Int))] NewtypeDiv(Int), NewtypeRem, NewtypeRem(Int), NewtypeBitAnd,
pub struct Prime(Int); NewtypeBitAnd(Int), NewtypeBitOr, NewtypeBitOr(Int), NewtypeBitXor,
NewtypeBitXor(Int)
)]
pub struct Prime(Int);
} }
impl Prime { impl Prime {
@ -114,9 +151,9 @@ impl Prime {
debug_assert!(bit_length >= 512); debug_assert!(bit_length >= 512);
let mut rngesus = match OsRng::new() { let mut rngesus = match OsRng::new() {
Ok(rng) => rng, Ok(rng) => rng,
Err(reason) => panic!("Error initializing RNG: {}", reason) Err(reason) => panic!("Error initializing RNG: {}", reason),
}; };
Prime::from_rng(bit_length, &mut rngesus) Prime::from_rng(bit_length, &mut rngesus)
} }
@ -126,7 +163,7 @@ impl Prime {
pub fn from_rng(bit_length: usize, rngesus: &mut OsRng) -> Prime { pub fn from_rng(bit_length: usize, rngesus: &mut OsRng) -> Prime {
debug_assert!(bit_length >= 512); debug_assert!(bit_length >= 512);
let mut candidate: Int; let mut candidate: Int;
// In order to remove as much bias from the system as possible, test // In order to remove as much bias from the system as possible, test
// 500 potential candidates at a time before re-seeding the candidate // 500 potential candidates at a time before re-seeding the candidate
// with a new random number. // with a new random number.
@ -166,11 +203,33 @@ impl Prime {
} }
} }
impl fmt::Display for Prime { fn mod_exp(base: &Int, exponent: &Int, modulus: &Int) -> Int {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { let mut result = Int::one();
let &Prime(ref num) = self; let mut base = base.clone();
write!(f, "{}", num) let mut exponent = exponent.clone();
while exponent > 0_usize {
if &exponent & 1_usize == 1_usize {
result = (&base * result) % modulus;
}
base = (&base.pow(2)) % modulus;
exponent = &exponent >> 1;
} }
result
}
fn rewrite(candidate: &Int) -> (Int, Int) {
let mut d = candidate - 1_usize;
let mut s = Int::zero();
while &d & 1 == 1_usize {
d = &d >> 1_usize;
s = &s + 1_usize;
}
(s, d)
} }
fn is_prime(candidate: &Int) -> bool { fn is_prime(candidate: &Int) -> bool {
@ -209,11 +268,7 @@ fn fermat(candidate: &Int) -> bool {
let result = mod_exp(&random, &(candidate - 1_usize), candidate); let result = mod_exp(&random, &(candidate - 1_usize), candidate);
if result == 1_usize { result == 1_usize
true
} else {
false
}
} }
fn miller_rabin(candidate: &Int) -> bool { fn miller_rabin(candidate: &Int) -> bool {
@ -227,7 +282,7 @@ fn miller_rabin(candidate: &Int) -> bool {
if x == 1_usize || x == (candidate - 1_usize) { if x == 1_usize || x == (candidate - 1_usize) {
continue; continue;
} else { } else {
for _ in Int::one() .. s - 1_usize { for _ in Int::one()..s - 1_usize {
x = mod_exp(&x, &Int::from(2), candidate); x = mod_exp(&x, &Int::from(2), candidate);
if x == 1_usize { if x == 1_usize {
return false; return false;
@ -242,31 +297,30 @@ fn miller_rabin(candidate: &Int) -> bool {
true true
} }
fn mod_exp(base: &Int, exponent: &Int, modulus: &Int) -> Int { #[cfg(test)]
let mut result = Int::one(); mod tests {
let mut base = base.clone(); use ramp::Int;
let mut exponent = exponent.clone(); use super::{fermat, miller_rabin};
while exponent > 0_usize { #[test]
if &exponent & 1_usize == 1_usize { fn test_fermat_pass() {
result = (&base * result) % modulus; assert!(fermat(&Int::from(7919)));
}
base = (&base.pow(2)) % modulus;
exponent = &exponent >> 1;
} }
result #[test]
} #[should_panic]
fn test_fermat_fail() {
fn rewrite(candidate: &Int) -> (Int, Int) { assert!(fermat(&Int::from(7920)));
let mut d = candidate - 1_usize;
let mut s = Int::zero();
while &d & 1 == 1_usize {
d = &d >> 1_usize;
s = &s + 1_usize;
} }
(s, d) #[test]
fn test_miller_rabin_pass() {
assert!(miller_rabin(&Int::from(7919)));
}
#[test]
#[should_panic]
fn test_miller_rabin_fail() {
assert!(miller_rabin(&Int::from(7920)));
}
} }