#primesmatter ;)

This commit is contained in:
Mystikfluu 2023-02-22 01:32:41 +01:00
parent 4d3d09ba97
commit 95e176ea05
2 changed files with 45 additions and 13 deletions

View File

@ -6,4 +6,11 @@ edition = "2021"
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html # See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
[dependencies] [dependencies]
num-bigint = "0.4.3" num-bigint = { default-features = false, version = "0.4.3" }
[profile.release]
opt-level = 'z' # Optimize for size
lto = true # Enable link-time optimization
codegen-units = 1 # Reduce number of codegen units to increase optimizations
panic = 'abort' # Abort on panic
# strip = true # Strip symbols from binary; remove pdb

View File

@ -6,16 +6,44 @@ fn log_2(x: BigUint) -> u64 {
} }
fn is_prime(number: BigUint) -> bool { fn is_prime(number: BigUint) -> bool {
let a = log_2(number.clone()+1u8); if BigUint::from(1u8) == number {
if BigUint::from(2u8).pow(a as u32)-BigUint::from(1u8) != number { return false;
eprintln!("only supports numbers of type (2^x)-1"); }
std::process::exit(1); if BigUint::from(4u8) > number {
return true;
} }
let mut last = BigUint::from(4u8)%number.clone();
let two = BigUint::from(2u8); let two = BigUint::from(2u8);
// number = 2^a - 1
// a = log2(number + 1)
let a = log_2(number.clone()+1u8);
if BigUint::from(2u8).pow(a as u32)-BigUint::from(1u8) != number {
//eprintln!("only supports numbers of type (2^x)-1");
let mut i = BigUint::from(0u8);
let one = BigUint::from(1u8);
let zero = BigUint::from(0u8);
let sqrtnum = number.sqrt()+one.clone();
let mut is_prime = true;
loop {
i = i + one.clone();
if i == sqrtnum {
break;
}
if sqrtnum.clone()%i.clone() == zero {
is_prime = false;
break;
}
}
return is_prime;
}
// 4 12 194
let mut last = BigUint::from(4u8);
for _i in 2..a { for _i in 2..a {
last = (last.clone()*last-two.clone())%number.clone(); last = (last.pow(2)-two.clone())%number.clone();
} }
if last == BigUint::from(0u8) { if last == BigUint::from(0u8) {
true true
@ -32,14 +60,11 @@ fn main() {
stdin.read_line(&mut buffer).expect("could not read from stdin"); stdin.read_line(&mut buffer).expect("could not read from stdin");
buffer = buffer.trim().to_owned(); buffer = buffer.trim().to_owned();
let number = BigUint::parse_bytes(&buffer.as_bytes(), 10).expect("expected number"); let number = BigUint::parse_bytes(&buffer.as_bytes(), 10).expect("expected positive number");
// number = 2^x - 1
// x = log2(number + 1)
if is_prime(number.clone()) { if is_prime(number.clone()) {
println!("{number} is a prime"); println!("\n{number} is a prime");
} else { } else {
println!("{number} is not a prime"); println!("\n{number} is not a prime");
} }
} }