p minus one working

This commit is contained in:
Christoph J. Scherr 2023-05-13 16:33:49 +02:00
parent 462ee87ac4
commit cc1116c2ca
Signed by: PlexSheep
GPG Key ID: 25B4ACF7D88186CC
4 changed files with 140 additions and 0 deletions

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@ -16,6 +16,8 @@ path = "src/main.rs"
[dependencies] [dependencies]
clap = { version = "4.2.7", features = ["derive"]} clap = { version = "4.2.7", features = ["derive"]}
clap-num = "1.0.2" clap-num = "1.0.2"
num = "0.4.0"
num-bigint = "0.4.3" num-bigint = "0.4.3"
num-traits = "0.2.15" num-traits = "0.2.15"
primes = "0.3.0"
pyo3 = "0.18.1" pyo3 = "0.18.1"

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@ -78,6 +78,7 @@ struct AlgoCommand {
enum MathActions { enum MathActions {
#[command(name="modexp")] #[command(name="modexp")]
Modexp(ModexpArgs), Modexp(ModexpArgs),
Pm1(PM1Args),
} }
#[derive(Args, Clone, Debug, PartialEq, Eq)] #[derive(Args, Clone, Debug, PartialEq, Eq)]
@ -87,6 +88,12 @@ struct ModexpArgs {
field: String field: String
} }
#[derive(Args, Clone, Debug, PartialEq, Eq)]
struct PM1Args {
n: u128,
max_prime: u128,
}
#[derive(Subcommand, Clone, Debug, PartialEq, Eq)] #[derive(Subcommand, Clone, Debug, PartialEq, Eq)]
enum BinaryActions { enum BinaryActions {
/// bit rotation/circular shifting (only 32bit) /// bit rotation/circular shifting (only 32bit)
@ -165,6 +172,31 @@ pub fn main() {
println!("result is {}", result) println!("result is {}", result)
} }
} }
MathActions::Pm1(pm1_args) => {
let result: Result<Vec<u128>, String> = math::pm1::p_minus_one(
pm1_args.n,
pm1_args.max_prime,
args.verbose
);
match result {
Ok(vec) => {
if args.machine {
println!("{:?}", vec)
}
else {
println!("result is {:?}", vec)
}
}
Err(e) => {
if args.machine {
println!("{:?}", e)
}
else {
println!("could not compute: {:?}", e)
}
}
}
}
} }
} }
Commands::Binary(action) => { Commands::Binary(action) => {

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@ -7,3 +7,4 @@
/// License: MIT /// License: MIT
/// Source: <https://git.cscherr.de/PlexSheep/plexcryptool/> /// Source: <https://git.cscherr.de/PlexSheep/plexcryptool/>
pub mod modexp; pub mod modexp;
pub mod pm1;

105
src/math/pm1.rs Normal file
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@ -0,0 +1,105 @@
#![allow(dead_code)]
/// P minus 1 method
///
/// Determine the prime factors of a number with the p minus 1 method.
/// Effecient for numbers with low ranged prime factors.
///
/// Author: Christoph J. Scherr <software@cscherr.de>
/// License: MIT
/// Source: <https://git.cscherr.de/PlexSheep/plexcryptool/>
use pyo3::prelude::*;
use num::integer::gcd;
use num_bigint::BigInt;
use primes::{Sieve, PrimeSet};
use crate::math::modexp;
/// excecute the p minus one calculation
pub fn p_minus_one(n: u128, max_prime: u128, verbose: bool) -> Result<Vec<u128>, String> {
assert!(n > 2);
let m1: u128 = n -1;
let mut k_parts: Vec<(u128, u32)> = Vec::new();
let mut prime_parts: Vec<u128> = Vec::new();
//
// get a list of the early primes
let mut pset = Sieve::new();
if verbose {
println!("getting list of first {max_prime} primes");
}
for (_i_prime, prime) in pset.iter().enumerate().take(max_prime as usize) {
let num: u128 = prime as u128;
if num > max_prime {
break;
}
let mut exp: u32 = 1;
if verbose {
println!("current prime: {num}");
}
loop {
if num.pow(exp + 1) < max_prime {
exp += 1;
}
else {
break;
}
}
if verbose {
println!("exponented prime: {}", num.pow(exp));
}
k_parts.push((num, exp));
}
let mut k = 1u128;
for (num, exp) in k_parts.clone() {
k = num.pow(exp) * k;
if verbose {
println!("k at step: {k}");
}
}
if verbose {
println!("k: {k}\nk parts: {:?}", k_parts);
}
let a = 2u128;
let akn1: u128 = ((modexp::modular_exponentiation(
BigInt::from(a),
BigInt::from(k),
BigInt::from(n),
false)
) - BigInt::from(1)).try_into().expect("Number too big");
if verbose {
println!("a: {a}\na**k-1 {akn1}");
}
let mut next_gcd = gcd(akn1, n);
if next_gcd == 1 {
return Err(format!("P minus one does not offer divisor for {n} with max_prime: {max_prime}"));
}
let mut q: u128;
while next_gcd > 1 {
prime_parts.push(next_gcd);
q = n / next_gcd;
next_gcd = gcd(q, n);
if verbose {
println!("nextgcd: {next_gcd}|q: {q}");
}
if prime_parts.contains(&next_gcd) {
break;
}
}
return Ok(prime_parts);
}
/// alternative simple implementation for gcd
pub fn alt_gcd(mut a: u128, mut b: u128) -> u128 {
let mut tmp: u128;
while b > 0 {
tmp = b;
b = a % b;
a = tmp;
}
return a;
}