Compare commits
12 Commits
renovate/c
...
master
Author | SHA1 | Date | |
---|---|---|---|
90069e9ab4 | |||
f6200bc99a | |||
36fc8cf5c5 | |||
0fe3ffaa59 | |||
49e24e5a61 | |||
39cc138252 | |||
2af65c41f0 | |||
f125145690 | |||
55ffd09fe5 | |||
ce507071b9 | |||
099012a60b | |||
71138258e6 |
6
.gitignore
vendored
6
.gitignore
vendored
@ -1,3 +1,9 @@
|
||||
/target
|
||||
report.json
|
||||
primes.json
|
||||
primes*.json
|
||||
primes*.txt
|
||||
primes*.zip
|
||||
dhat*
|
||||
flamegraph*
|
||||
perf*
|
154
Cargo.lock
generated
154
Cargo.lock
generated
@ -4,9 +4,15 @@ version = 3
|
||||
|
||||
[[package]]
|
||||
name = "autocfg"
|
||||
version = "1.1.0"
|
||||
version = "1.3.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "d468802bab17cbc0cc575e9b053f41e72aa36bfa6b7f55e3529ffa43161b97fa"
|
||||
checksum = "0c4b4d0bd25bd0b74681c0ad21497610ce1b7c91b1022cd21c80c6fbdd9476b0"
|
||||
|
||||
[[package]]
|
||||
name = "bitflags"
|
||||
version = "2.6.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "b048fb63fd8b5923fc5aa7b340d8e156aec7ec02f0c78fa8a6ddc2613f6f71de"
|
||||
|
||||
[[package]]
|
||||
name = "cfg-if"
|
||||
@ -16,9 +22,9 @@ checksum = "baf1de4339761588bc0619e3cbc0120ee582ebb74b53b4efbf79117bd2da40fd"
|
||||
|
||||
[[package]]
|
||||
name = "getrandom"
|
||||
version = "0.2.8"
|
||||
version = "0.2.15"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "c05aeb6a22b8f62540c194aac980f2115af067bfe15a0734d7277a768d396b31"
|
||||
checksum = "c4567c8db10ae91089c99af84c68c38da3ec2f087c3f82960bcdbf3656b6f4d7"
|
||||
dependencies = [
|
||||
"cfg-if",
|
||||
"libc",
|
||||
@ -31,30 +37,35 @@ version = "0.1.0"
|
||||
dependencies = [
|
||||
"num",
|
||||
"num-bigint",
|
||||
"once_cell",
|
||||
"rand",
|
||||
"serde_json",
|
||||
"thread-priority",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "libc"
|
||||
version = "0.2.139"
|
||||
name = "itoa"
|
||||
version = "1.0.11"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "201de327520df007757c1f0adce6e827fe8562fbc28bfd9c15571c66ca1f5f79"
|
||||
checksum = "49f1f14873335454500d59611f1cf4a4b0f786f9ac11f4312a78e4cf2566695b"
|
||||
|
||||
[[package]]
|
||||
name = "libc"
|
||||
version = "0.2.155"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "97b3888a4aecf77e811145cadf6eef5901f4782c53886191b2f693f24761847c"
|
||||
|
||||
[[package]]
|
||||
name = "log"
|
||||
version = "0.4.17"
|
||||
version = "0.4.22"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "abb12e687cfb44aa40f41fc3978ef76448f9b6038cad6aef4259d3c095a2382e"
|
||||
dependencies = [
|
||||
"cfg-if",
|
||||
]
|
||||
checksum = "a7a70ba024b9dc04c27ea2f0c0548feb474ec5c54bba33a7f72f873a39d07b24"
|
||||
|
||||
[[package]]
|
||||
name = "num"
|
||||
version = "0.4.0"
|
||||
version = "0.4.3"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "43db66d1170d347f9a065114077f7dccb00c1b9478c89384490a3425279a4606"
|
||||
checksum = "35bd024e8b2ff75562e5f34e7f4905839deb4b22955ef5e73d2fea1b9813cb23"
|
||||
dependencies = [
|
||||
"num-bigint",
|
||||
"num-complex",
|
||||
@ -66,39 +77,38 @@ dependencies = [
|
||||
|
||||
[[package]]
|
||||
name = "num-bigint"
|
||||
version = "0.4.3"
|
||||
version = "0.4.6"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "f93ab6289c7b344a8a9f60f88d80aa20032336fe78da341afc91c8a2341fc75f"
|
||||
checksum = "a5e44f723f1133c9deac646763579fdb3ac745e418f2a7af9cd0c431da1f20b9"
|
||||
dependencies = [
|
||||
"autocfg",
|
||||
"num-integer",
|
||||
"num-traits",
|
||||
"serde",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "num-complex"
|
||||
version = "0.4.3"
|
||||
version = "0.4.6"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "02e0d21255c828d6f128a1e41534206671e8c3ea0c62f32291e808dc82cff17d"
|
||||
checksum = "73f88a1307638156682bada9d7604135552957b7818057dcef22705b4d509495"
|
||||
dependencies = [
|
||||
"num-traits",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "num-integer"
|
||||
version = "0.1.45"
|
||||
version = "0.1.46"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "225d3389fb3509a24c93f5c29eb6bde2586b98d9f016636dff58d7c6f7569cd9"
|
||||
checksum = "7969661fd2958a5cb096e56c8e1ad0444ac2bbcd0061bd28660485a44879858f"
|
||||
dependencies = [
|
||||
"autocfg",
|
||||
"num-traits",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "num-iter"
|
||||
version = "0.1.43"
|
||||
version = "0.1.45"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "7d03e6c028c5dc5cac6e2dec0efda81fc887605bb3d884578bb6d6bf7514e252"
|
||||
checksum = "1429034a0490724d0075ebb2bc9e875d6503c3cf69e235a8941aa757d83ef5bf"
|
||||
dependencies = [
|
||||
"autocfg",
|
||||
"num-integer",
|
||||
@ -107,11 +117,10 @@ dependencies = [
|
||||
|
||||
[[package]]
|
||||
name = "num-rational"
|
||||
version = "0.4.1"
|
||||
version = "0.4.2"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "0638a1c9d0a3c0914158145bc76cff373a75a627e6ecbfb71cbe6f453a5a19b0"
|
||||
checksum = "f83d14da390562dca69fc84082e73e548e1ad308d24accdedd2720017cb37824"
|
||||
dependencies = [
|
||||
"autocfg",
|
||||
"num-bigint",
|
||||
"num-integer",
|
||||
"num-traits",
|
||||
@ -119,19 +128,43 @@ dependencies = [
|
||||
|
||||
[[package]]
|
||||
name = "num-traits"
|
||||
version = "0.2.15"
|
||||
version = "0.2.19"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "578ede34cf02f8924ab9447f50c28075b4d3e5b269972345e7e0372b38c6cdcd"
|
||||
checksum = "071dfc062690e90b734c0b2273ce72ad0ffa95f0c74596bc250dcfd960262841"
|
||||
dependencies = [
|
||||
"autocfg",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "once_cell"
|
||||
version = "1.19.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "3fdb12b2476b595f9358c5161aa467c2438859caa136dec86c26fdd2efe17b92"
|
||||
|
||||
[[package]]
|
||||
name = "ppv-lite86"
|
||||
version = "0.2.17"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "5b40af805b3121feab8a3c29f04d8ad262fa8e0561883e7653e024ae4479e6de"
|
||||
|
||||
[[package]]
|
||||
name = "proc-macro2"
|
||||
version = "1.0.86"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "5e719e8df665df0d1c8fbfd238015744736151d4445ec0836b8e628aae103b77"
|
||||
dependencies = [
|
||||
"unicode-ident",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "quote"
|
||||
version = "1.0.36"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "0fa76aaf39101c457836aec0ce2316dbdc3ab723cdda1c6bd4e6ad4208acaca7"
|
||||
dependencies = [
|
||||
"proc-macro2",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "rand"
|
||||
version = "0.8.5"
|
||||
@ -164,16 +197,65 @@ dependencies = [
|
||||
|
||||
[[package]]
|
||||
name = "rustversion"
|
||||
version = "1.0.11"
|
||||
version = "1.0.17"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "5583e89e108996506031660fe09baa5011b9dd0341b89029313006d1fb508d70"
|
||||
checksum = "955d28af4278de8121b7ebeb796b6a45735dc01436d898801014aced2773a3d6"
|
||||
|
||||
[[package]]
|
||||
name = "ryu"
|
||||
version = "1.0.18"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "f3cb5ba0dc43242ce17de99c180e96db90b235b8a9fdc9543c96d2209116bd9f"
|
||||
|
||||
[[package]]
|
||||
name = "serde"
|
||||
version = "1.0.204"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "bc76f558e0cbb2a839d37354c575f1dc3fdc6546b5be373ba43d95f231bf7c12"
|
||||
dependencies = [
|
||||
"serde_derive",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "serde_derive"
|
||||
version = "1.0.204"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "e0cd7e117be63d3c3678776753929474f3b04a43a080c744d6b0ae2a8c28e222"
|
||||
dependencies = [
|
||||
"proc-macro2",
|
||||
"quote",
|
||||
"syn",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "serde_json"
|
||||
version = "1.0.120"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "4e0d21c9a8cae1235ad58a00c11cb40d4b1e5c784f1ef2c537876ed6ffd8b7c5"
|
||||
dependencies = [
|
||||
"itoa",
|
||||
"ryu",
|
||||
"serde",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "syn"
|
||||
version = "2.0.71"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "b146dcf730474b4bcd16c311627b31ede9ab149045db4d6088b3becaea046462"
|
||||
dependencies = [
|
||||
"proc-macro2",
|
||||
"quote",
|
||||
"unicode-ident",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "thread-priority"
|
||||
version = "0.12.0"
|
||||
version = "1.1.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "2ee4429f2c3bbeafa7136ea54d75a5f38b02e4f006c0b310f07e35c3b49eb3e7"
|
||||
checksum = "0d3b04d33c9633b8662b167b847c7ab521f83d1ae20f2321b65b5b925e532e36"
|
||||
dependencies = [
|
||||
"bitflags",
|
||||
"cfg-if",
|
||||
"libc",
|
||||
"log",
|
||||
@ -181,6 +263,12 @@ dependencies = [
|
||||
"winapi",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "unicode-ident"
|
||||
version = "1.0.12"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "3354b9ac3fae1ff6755cb6db53683adb661634f67557942dea4facebec0fee4b"
|
||||
|
||||
[[package]]
|
||||
name = "wasi"
|
||||
version = "0.11.0+wasi-snapshot-preview1"
|
||||
|
47
Cargo.toml
47
Cargo.toml
@ -2,17 +2,48 @@
|
||||
name = "isprime"
|
||||
version = "0.1.0"
|
||||
edition = "2021"
|
||||
default-run = "isprime"
|
||||
|
||||
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
|
||||
|
||||
[dependencies]
|
||||
num = "0.4.0"
|
||||
thread-priority = "0.12.0"
|
||||
rand = "0.8.5"
|
||||
num-bigint= { default-features = false, version = "0.4.3" }
|
||||
num = "0.4"
|
||||
rand = "0.8"
|
||||
num-bigint = { default-features = false, version = "0.4", features = ["serde"] }
|
||||
once_cell = "1.19"
|
||||
serde_json = "1.0"
|
||||
|
||||
[target.'cfg(windows)'.dependencies]
|
||||
thread-priority = "1.1"
|
||||
|
||||
[profile.release]
|
||||
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
|
||||
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
|
||||
overflow-checks = false
|
||||
debug = true
|
||||
|
||||
[profile.dev]
|
||||
opt-level = 3
|
||||
|
||||
[lints.clippy]
|
||||
pedantic = { level = "deny", priority = -1 }
|
||||
perf = { level = "deny", priority = 1 }
|
||||
complexity = { level = "deny", priority = -1 }
|
||||
style = { level = "deny", priority = -1 }
|
||||
correctness = { level = "deny", priority = -1 }
|
||||
format_collect = "deny"
|
||||
format_in_format_args = "deny"
|
||||
format_push_string = "deny"
|
||||
mut_mut = "deny"
|
||||
let_underscore_untyped = "deny"
|
||||
str_to_string = "deny"
|
||||
|
||||
cast_possible_truncation = "allow"
|
||||
cast_precision_loss = "allow"
|
||||
cast_sign_loss = "allow"
|
||||
missing_errors_doc = "allow"
|
||||
|
||||
[[bin]]
|
||||
name = "isprime"
|
26
check_primes.js
Normal file
26
check_primes.js
Normal file
@ -0,0 +1,26 @@
|
||||
const assert = require("assert");
|
||||
|
||||
const primes_generated = require("./primes.json");
|
||||
const correct_primes = require("./primes1.json");
|
||||
|
||||
assert(
|
||||
primes_generated.length == correct_primes.length,
|
||||
"Number of primes generated is not equal to the number of correct primes",
|
||||
);
|
||||
|
||||
for (let i = 0; i < primes_generated.length; i++) {
|
||||
if (primes_generated[i] !== correct_primes[i]) {
|
||||
let bigger_smaller = "="
|
||||
if (primes_generated[i] > correct_primes[i]) { bigger_smaller = ">" } else if (primes_generated[i] < correct_primes[i]) { "<" }
|
||||
console.error(
|
||||
`Incorrect prime at index ${i}: ${primes_generated[i]}(gen) | ${correct_primes[i]}(list) | gen is ${bigger_smaller}`,
|
||||
);
|
||||
process.exit(1);
|
||||
}
|
||||
}
|
||||
|
||||
console.log("All primes are correct");
|
||||
console.log(
|
||||
"Last prime in generated primes: ",
|
||||
primes_generated[primes_generated.length - 1],
|
||||
);
|
28
convert_primelist.py
Normal file
28
convert_primelist.py
Normal file
@ -0,0 +1,28 @@
|
||||
import json
|
||||
|
||||
def convert_primes_to_json(file_path):
|
||||
# Step 1: Read the file content
|
||||
with open(file_path, 'r') as file:
|
||||
lines = file.readlines()
|
||||
|
||||
primes = []
|
||||
for line in lines:
|
||||
# Step 2: Extract prime numbers
|
||||
# Split each line into words and filter out non-numeric entries
|
||||
numbers = [num for num in line.split() if num.isdigit()]
|
||||
primes.extend(numbers)
|
||||
|
||||
# Step 3: Convert the list of primes to a JSON array
|
||||
primes_json = json.dumps(primes, indent=4)
|
||||
|
||||
return primes_json
|
||||
|
||||
# Example usage:
|
||||
file_path = 'primes1.txt'
|
||||
primes_json = convert_primes_to_json(file_path)
|
||||
print(primes_json)
|
||||
|
||||
# If you want to save the JSON array to a file:
|
||||
output_path = 'primes1.json'
|
||||
with open(output_path, 'w') as output_file:
|
||||
output_file.write(primes_json)
|
107
src/is_prime.rs
107
src/is_prime.rs
@ -1,73 +1,76 @@
|
||||
|
||||
|
||||
pub mod prime_utils {
|
||||
use num::{BigUint, One, Zero};
|
||||
use num::{BigUint, One};
|
||||
use once_cell::sync::Lazy;
|
||||
|
||||
use crate::primality_test::primality_tests::is_probably_prime;
|
||||
|
||||
#[must_use] pub fn log_2(x: &BigUint) -> u64 {
|
||||
#[must_use]
|
||||
pub fn log_2(x: &BigUint) -> u64 {
|
||||
x.bits() - 1
|
||||
}
|
||||
|
||||
#[must_use] pub fn is_prime(number: &BigUint, g_primes: &Vec<BigUint>) -> bool {
|
||||
if BigUint::from(1u8) == *number {
|
||||
static FOUR: Lazy<BigUint> = Lazy::new(|| BigUint::from(4u8));
|
||||
static TWO: Lazy<BigUint> = Lazy::new(|| BigUint::from(2u8));
|
||||
static ONE: Lazy<BigUint> = Lazy::new(BigUint::one);
|
||||
const ZERO: BigUint = BigUint::ZERO;
|
||||
|
||||
#[must_use]
|
||||
pub fn is_prime(number: &BigUint) -> bool {
|
||||
if &*ONE >= number {
|
||||
return false;
|
||||
}
|
||||
if BigUint::from(4u8) > *number {
|
||||
if &*FOUR > number {
|
||||
return true;
|
||||
}
|
||||
|
||||
if number.sqrt().pow(2) == *number {
|
||||
if !number.bit(0) {
|
||||
return false;
|
||||
}
|
||||
|
||||
let two = BigUint::from(2u8);
|
||||
|
||||
// number = 2^a - 1
|
||||
// mersenne numbers = 2^a - 1
|
||||
// a = log2(number + 1)
|
||||
let a = log_2(&(number+1u8));
|
||||
if BigUint::from(2u8).pow(a as u32)-BigUint::one() != *number {
|
||||
let mut i = BigUint::one();
|
||||
let one = BigUint::one();
|
||||
let zero = BigUint::zero();
|
||||
let a = log_2(&(number + 1u8));
|
||||
|
||||
let sqrtnum = number.sqrt()+&one; //fake ceil function
|
||||
let is_mersenne = {
|
||||
let num_p2 = {
|
||||
let mut num = BigUint::default();
|
||||
num.set_bit(a, true);
|
||||
num
|
||||
};
|
||||
assert!(num_p2 > BigUint::one());
|
||||
|
||||
if let Some(max_value) = g_primes.iter().max() {
|
||||
if max_value > &sqrtnum {
|
||||
for prime in g_primes {
|
||||
if prime<&sqrtnum && number%prime == zero {
|
||||
return false;
|
||||
}
|
||||
}
|
||||
}
|
||||
let num_p2 = num_p2 - &*ONE;
|
||||
|
||||
&num_p2 == number
|
||||
};
|
||||
|
||||
if is_mersenne {
|
||||
return mersenne_check(number, a);
|
||||
}
|
||||
|
||||
let sqrtnum = number.sqrt() + &*ONE; //fake ceil function
|
||||
|
||||
inner_prime(number, &sqrtnum)
|
||||
}
|
||||
|
||||
fn mersenne_check(number: &BigUint, a: u64) -> bool {
|
||||
let mut last = FOUR.clone();
|
||||
|
||||
for _ in 2..a {
|
||||
last = (last.pow(2) - &*TWO) % number;
|
||||
}
|
||||
|
||||
last == ZERO
|
||||
}
|
||||
|
||||
fn inner_prime(number: &BigUint, sqrtnum: &BigUint) -> bool {
|
||||
let mut i = BigUint::one();
|
||||
|
||||
loop {
|
||||
i += &*TWO; //we begin checking 3 and then continue with every second number as every even number is divisible by 2 and we already checked that
|
||||
if &i >= sqrtnum {
|
||||
return true;
|
||||
}
|
||||
|
||||
if !is_probably_prime(number,5) {
|
||||
if number % &i == ZERO {
|
||||
return false;
|
||||
}
|
||||
|
||||
loop {
|
||||
i += &one;
|
||||
if number%&i == zero {
|
||||
return false;
|
||||
}
|
||||
if i == sqrtnum {
|
||||
return true;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
}
|
||||
|
||||
// 4 12 194
|
||||
let mut last = BigUint::from(4u8);
|
||||
|
||||
for _i in 2..a {
|
||||
last = (last.pow(2)-&two)%number;
|
||||
}
|
||||
|
||||
last == BigUint::from(0u8)
|
||||
}
|
||||
}
|
||||
|
||||
|
268
src/main.rs
268
src/main.rs
@ -1,29 +1,32 @@
|
||||
#![warn(clippy::perf)]
|
||||
#![warn(clippy::all)]
|
||||
|
||||
mod is_prime;
|
||||
|
||||
pub mod is_prime;
|
||||
pub mod primality_test;
|
||||
|
||||
use std::{time::SystemTime,thread, io::Write};
|
||||
use num::{BigUint, One};
|
||||
use crate::is_prime::prime_utils;
|
||||
use thread_priority::{set_current_thread_priority,ThreadPriority};
|
||||
use num::{BigUint, One};
|
||||
use std::{
|
||||
env::args,
|
||||
io::Write,
|
||||
sync::{
|
||||
atomic::{AtomicU64, AtomicUsize},
|
||||
Arc, Mutex,
|
||||
},
|
||||
thread,
|
||||
time::{Instant, SystemTime},
|
||||
};
|
||||
|
||||
fn p(n: f64) -> f64 {
|
||||
let ln_n = n.ln();
|
||||
let ln_ln_n = ln_n.ln();
|
||||
let ln_ln_ln_n = ln_ln_n.ln();
|
||||
|
||||
n * (
|
||||
ln_n + ln_ln_n - 1.0
|
||||
+ (ln_ln_ln_n - 2.0) / ln_n
|
||||
- ((ln_ln_n).powi(2) - 6.0 * ln_ln_n + 11.0) / (2.0 * 2.0f64.log2() * ln_n)
|
||||
+ ((ln_ln_n / ln_n).powi(3)) * (1.0 / ln_n)
|
||||
)
|
||||
n * (ln_n + ln_ln_n - 1.0 + (ln_ln_ln_n - 2.0) / ln_n
|
||||
- ((ln_ln_n).powi(2) - 6.0 * ln_ln_n + 11.0) / (2.0 * ln_n)
|
||||
+ ((ln_ln_n / ln_n).powi(3)) * (1.0 / ln_n))
|
||||
}
|
||||
|
||||
fn to_usize(f:f64) -> usize {
|
||||
fn to_usize(f: f64) -> usize {
|
||||
let rounded_num: i64 = f.round() as i64;
|
||||
if rounded_num >= 0 {
|
||||
rounded_num as usize
|
||||
@ -32,161 +35,160 @@ fn to_usize(f:f64) -> usize {
|
||||
}
|
||||
}
|
||||
|
||||
fn to_f64(u:usize) -> f64 {
|
||||
f64::from_bits(u as u64)
|
||||
}
|
||||
|
||||
#[cfg(target_os = "windows")]
|
||||
fn try_set_thread_priority() {
|
||||
if set_current_thread_priority(ThreadPriority::Max).is_err() {
|
||||
use thread_priority::{set_current_thread_priority, ThreadPriority};
|
||||
|
||||
if let Err(e) = set_current_thread_priority(ThreadPriority::Max) {
|
||||
eprintln!("[WARN] failed to set thread priority to max");
|
||||
eprintln!("{e}");
|
||||
}
|
||||
}
|
||||
|
||||
fn write_primes(primes: &[BigUint]) {
|
||||
let primes: Vec<String> = primes
|
||||
.iter()
|
||||
.map(std::string::ToString::to_string)
|
||||
.collect();
|
||||
|
||||
let mut file = std::fs::File::create("primes.json").unwrap();
|
||||
file.write_all(b"[").unwrap();
|
||||
let mut it = primes.iter().peekable();
|
||||
while let Some(prime) = it.next() {
|
||||
file.write_all(prime.to_string().as_bytes()).unwrap();
|
||||
if it.peek().is_some() {
|
||||
file.write_all(b",").unwrap();
|
||||
}
|
||||
}
|
||||
file.write_all(b"]").unwrap();
|
||||
file.write_all(serde_json::to_string(&primes).unwrap().as_bytes())
|
||||
.unwrap();
|
||||
}
|
||||
|
||||
const N: i64 = 1_000_000;
|
||||
const NF: f64 = N as f64;
|
||||
const NU: usize = N as usize;
|
||||
const THREADS: usize = 30;
|
||||
|
||||
/*
|
||||
let mut buffer = String::new();
|
||||
let stdin = io::stdin();
|
||||
print!("please enter the number to check: ");
|
||||
io::stdout().flush().expect("could not flush");
|
||||
stdin.read_line(&mut buffer).expect("could not read from stdin");
|
||||
buffer = buffer.trim().to_owned();
|
||||
|
||||
let number = BigUint::parse_bytes(&buffer.as_bytes(), 10).expect("expected positive number");
|
||||
|
||||
if is_prime(number.clone()) {
|
||||
println!("\n{number} is a prime");
|
||||
} else {
|
||||
println!("\n{number} is not a prime");
|
||||
}
|
||||
*/
|
||||
fn main() {
|
||||
const N:i64 = 100_000;
|
||||
const NU:usize = N as usize;
|
||||
const THREADS: usize = 12;
|
||||
const SPLITTER: u128 = 10000u128;
|
||||
|
||||
fn worker(
|
||||
workloads: usize,
|
||||
i: usize,
|
||||
progress: &AtomicU64,
|
||||
arcclone: &Arc<Mutex<Vec<BigUint>>>,
|
||||
threads_done: &AtomicUsize,
|
||||
) {
|
||||
#[cfg(target_os = "windows")]
|
||||
try_set_thread_priority();
|
||||
|
||||
let work_uint = BigUint::from(workloads);
|
||||
let mut number = BigUint::from(i) * &work_uint;
|
||||
|
||||
let max = BigUint::from(i + 1) * work_uint;
|
||||
let mut primecache = Vec::with_capacity(NU);
|
||||
loop {
|
||||
number += &BigUint::one();
|
||||
|
||||
if prime_utils::is_prime(&number) {
|
||||
primecache.push(number.clone());
|
||||
progress.fetch_add(1, std::sync::atomic::Ordering::Relaxed);
|
||||
}
|
||||
if number == max {
|
||||
break;
|
||||
}
|
||||
}
|
||||
|
||||
arcclone.lock().unwrap().append(&mut primecache);
|
||||
|
||||
threads_done.fetch_add(1, std::sync::atomic::Ordering::Relaxed);
|
||||
}
|
||||
|
||||
fn main() {
|
||||
if let Some(prime) = args().nth(1) {
|
||||
use std::str::FromStr;
|
||||
let prime = BigUint::from_str(&prime).unwrap();
|
||||
|
||||
let is_prime = is_prime::prime_utils::is_prime(&prime);
|
||||
|
||||
println!("Number is {}a prime", if is_prime { "" } else { "not " });
|
||||
|
||||
return;
|
||||
}
|
||||
|
||||
let sys_time = SystemTime::now();
|
||||
|
||||
let nf:f64 = 100_000f64;
|
||||
let nthprime_approx:usize = to_usize(p(nf*1.02));
|
||||
let nthprime_approx: usize = to_usize(p(NF * 1.02));
|
||||
|
||||
let workloads = nthprime_approx/THREADS;
|
||||
let workloads = nthprime_approx / THREADS;
|
||||
|
||||
let primecache: Vec<BigUint> = vec![];
|
||||
let primecache: Vec<BigUint> = Vec::with_capacity(NU);
|
||||
let primemutex = std::sync::Mutex::new(primecache);
|
||||
let primearc = std::sync::Arc::new(primemutex);
|
||||
let mut joins = vec![];
|
||||
for i in 0..THREADS {
|
||||
let arcclone = primearc.clone();
|
||||
let handle = thread::spawn(move || {
|
||||
|
||||
try_set_thread_priority();
|
||||
let progress_val = AtomicU64::new(0);
|
||||
let progress = &progress_val;
|
||||
|
||||
let one_thousand = &BigUint::from(SPLITTER*10);
|
||||
let one_hundred = &BigUint::from(SPLITTER);
|
||||
let ten = &BigUint::from(10u8);
|
||||
let threads_done_val = AtomicUsize::new(0);
|
||||
let threads_done = &threads_done_val;
|
||||
|
||||
let work_uint = BigUint::from(workloads);
|
||||
let mut number = BigUint::from(i)*&work_uint;
|
||||
let inc = BigUint::one();
|
||||
thread::scope(|scope| {
|
||||
for i in 0..THREADS {
|
||||
let arcclone = primearc.clone();
|
||||
scope.spawn(move || worker(workloads, i, progress, &arcclone, threads_done));
|
||||
}
|
||||
|
||||
let max = BigUint::from(i+1)*work_uint;
|
||||
let mut primecache = vec![];
|
||||
loop {
|
||||
number += &inc;
|
||||
let mut last_progress = Instant::now();
|
||||
|
||||
if prime_utils::is_prime(&number,&primecache) {
|
||||
primecache.push(number.clone());
|
||||
}
|
||||
if (&number * one_thousand)/&max/ten == &number/&max*one_hundred {
|
||||
let tried_getting = SystemTime::now();
|
||||
let mut new_primecache = arcclone.lock().unwrap();
|
||||
if SystemTime::now().duration_since(tried_getting).unwrap().as_millis() > 50 {
|
||||
eprintln!("[WARN] Waited 0.05+ seconds for lock!");
|
||||
}
|
||||
new_primecache.append(&mut primecache);
|
||||
new_primecache.sort();
|
||||
new_primecache.dedup();
|
||||
loop {
|
||||
let threads_completed = threads_done.load(std::sync::atomic::Ordering::Relaxed);
|
||||
|
||||
primecache = new_primecache.clone();
|
||||
if threads_completed == THREADS {
|
||||
break;
|
||||
}
|
||||
|
||||
}
|
||||
if number == max {
|
||||
if last_progress.elapsed().as_millis() >= 500 {
|
||||
last_progress = Instant::now();
|
||||
|
||||
let n = progress.load(std::sync::atomic::Ordering::Relaxed);
|
||||
|
||||
println!(
|
||||
"Progress: {:0>width$}/{} ({:>3}%) | {:0>t_width$}",
|
||||
n,
|
||||
N,
|
||||
(n as f64 / NF * 100.0).min(100.0).floor(),
|
||||
threads_completed,
|
||||
width = N.to_string().len(),
|
||||
t_width = THREADS.to_string().len()
|
||||
);
|
||||
}
|
||||
|
||||
std::thread::sleep(std::time::Duration::from_millis(100));
|
||||
}
|
||||
});
|
||||
|
||||
let mut primes = primearc.lock().unwrap();
|
||||
primes.sort_unstable();
|
||||
|
||||
let removed = primes.len() - NU;
|
||||
primes.truncate(NU);
|
||||
|
||||
let added = NU - primes.len();
|
||||
if primes.len() < NU {
|
||||
let inc = BigUint::from(2u8);
|
||||
|
||||
println!("[INFO] less primes than expected");
|
||||
let mut number = BigUint::from(THREADS) * BigUint::from(workloads);
|
||||
if &number % &inc == BigUint::ZERO {
|
||||
number += BigUint::one();
|
||||
}
|
||||
loop {
|
||||
number += &inc;
|
||||
if prime_utils::is_prime(&number) {
|
||||
primes.push(number.clone());
|
||||
if primes.len() == NU {
|
||||
break;
|
||||
}
|
||||
}
|
||||
|
||||
let mut new_primecache = arcclone.lock().unwrap();
|
||||
new_primecache.append(&mut primecache);
|
||||
new_primecache.sort();
|
||||
new_primecache.dedup();
|
||||
});
|
||||
joins.push(handle);
|
||||
}
|
||||
|
||||
for handle in joins {
|
||||
handle.join().unwrap();
|
||||
}
|
||||
|
||||
let mut primes = primearc.lock().unwrap().to_vec();
|
||||
|
||||
let removed:i32 = if primes.len() > NU {
|
||||
let mut rem = 0;
|
||||
loop {
|
||||
if primes.len() <= NU {
|
||||
break;
|
||||
}
|
||||
rem+=1;
|
||||
primes.pop();
|
||||
}
|
||||
rem
|
||||
} else {
|
||||
0
|
||||
};
|
||||
|
||||
let added = NU-primes.len();
|
||||
if primes.len() < NU {
|
||||
println!("[INFO] less primes than expected");
|
||||
let mut number = BigUint::from(THREADS)*BigUint::from(workloads);
|
||||
let inc = BigUint::one();
|
||||
loop {
|
||||
number += &inc;
|
||||
if prime_utils::is_prime(&number, &primes) {
|
||||
primes.push(number.clone());
|
||||
}
|
||||
if primes.len() == NU {
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
let new_sys_time = SystemTime::now();
|
||||
let difference = new_sys_time.duration_since(sys_time)
|
||||
.expect("Clock may have gone backwards");
|
||||
let difference = sys_time.elapsed().unwrap();
|
||||
|
||||
assert_eq!(primes.len(),NU);
|
||||
assert_eq!(primes.len(), NU);
|
||||
|
||||
println!("primes added: {added} | % added: {}% | removed: {removed}",to_f64(added)/to_f64(primes.len())*100.0);
|
||||
println!("primes added: {added} | removed: {removed}");
|
||||
println!("time: {difference:?}");
|
||||
println!("writing primes...");
|
||||
|
||||
write_primes(&primes);
|
||||
|
||||
|
||||
|
||||
}
|
||||
|
@ -1,60 +0,0 @@
|
||||
pub mod primality_tests {
|
||||
use num::{BigUint, Integer, One, Zero};
|
||||
use rand::RngCore;
|
||||
|
||||
fn generate_random_biguint(num_bits: usize) -> BigUint {
|
||||
let mut rng = rand::thread_rng();
|
||||
let bytes = num_bits / 8 + 1;
|
||||
let mut buf = vec![0u8; bytes];
|
||||
rng.fill_bytes(&mut buf);
|
||||
BigUint::from_bytes_be(&buf)
|
||||
}
|
||||
|
||||
|
||||
pub fn is_probably_prime(number: &BigUint, iterations: u32) -> bool {
|
||||
if number <= &BigUint::one() || number == &BigUint::from(4u32) {
|
||||
return false;
|
||||
} else if number <= &BigUint::from(3u32) {
|
||||
return true;
|
||||
}
|
||||
let one = BigUint::one();
|
||||
let mut d = number - &one;
|
||||
while d.is_even() {
|
||||
d /= 2u32;
|
||||
}
|
||||
for _ in 0..iterations {
|
||||
let a = generate_random_biguint((number.bits()-1) as usize);
|
||||
let mut x = mod_exp(a.clone(), &d, number);
|
||||
if x == one || x == number - &one {
|
||||
continue;
|
||||
}
|
||||
let mut continue_loop = false;
|
||||
for _ in 0..(number.bits() - 1) {
|
||||
x = mod_exp(x.clone(), &BigUint::from(2u32), number);
|
||||
if x == number - &one {
|
||||
continue_loop = true;
|
||||
break;
|
||||
}
|
||||
}
|
||||
if !continue_loop {
|
||||
return false;
|
||||
}
|
||||
}
|
||||
true
|
||||
}
|
||||
|
||||
fn mod_exp(mut base: BigUint, ex: &BigUint, modulus: &BigUint) -> BigUint {
|
||||
let mut exp = ex.clone();
|
||||
let mut result = BigUint::one();
|
||||
base %= modulus;
|
||||
while !exp.is_zero() {
|
||||
if exp.is_odd() {
|
||||
result = (&result * &base) % modulus;
|
||||
}
|
||||
base = base.pow(2) % modulus;
|
||||
exp /= 2u32;
|
||||
}
|
||||
result
|
||||
}
|
||||
|
||||
}
|
Loading…
x
Reference in New Issue
Block a user