PolymathREU-Walking-to-infi.../rust/insert_digit_anywhere_primes_constant/src/main.rs
2020-07-24 12:26:20 -07:00

119 lines
3 KiB
Rust

use std::thread;
use std::collections::HashSet;
const NUM_THREADS: usize = 6;
// const THREAD_SKIP: u64 = 1_000;
const BASE: u64 = 10;
fn remove_duplicates(ls: Vec<u64>) -> Vec<u64> {
let mut hs: HashSet<u64> = HashSet::new();
for val in &ls {
hs.insert(*val);
}
hs.iter().map(|x| *x).collect()
}
fn u64_to_v(x: u64) -> Vec<u64> {
let mut ll = Vec::new();
let mut x = x;
while x > 0 {
ll.push(x % BASE);
x /= BASE;
}
ll
}
fn v_to_u64(ll: Vec<u64>) -> u64 {
let mut val = 0;
let mut ll = ll;
loop {
match ll.pop() {
Some(v) => {
val += v;
val *= BASE;
}
None => break,
};
}
val / BASE
}
fn step(x: u64) -> Vec<u64> {
let mut new_xs = Vec::new();
let v_x = u64_to_v(x);
for i in 0..v_x.len() + 1 {
for d in 0..BASE {
let mut v_x = u64_to_v(x);
v_x.insert(i, d);
let temp = v_to_u64(v_x);
if !(i == 0 && d == 0) {
if primal::is_prime(temp) {
new_xs.push(temp);
}
}
}
}
new_xs
}
fn next(ls: Vec<u64>) -> (f64, Vec<u64>) {
let old = ls.len();
let mut count = 0;
let mut new: Vec<u64> = Vec::new();
let mut slices: Vec<Vec<u64>> = Vec::new();
let mut children = Vec::with_capacity(NUM_THREADS);
let size = ls.len() / NUM_THREADS;
for i in 0..(NUM_THREADS - 1) {
let mut new = Vec::with_capacity(size);
for val in ls.iter().skip(size * i).take(size) {
new.push(*val);
}
slices.push(new);
}
{
let mut new = Vec::new();
for val in ls.iter().skip(size * (NUM_THREADS - 1)) {
new.push(*val);
}
slices.push(new);
}
for slice in slices {
children.push(thread::spawn(move || -> (u64, Vec<u64>) {
let mut new = Vec::new();
let mut count = 0;
for oldval in slice {
let mut temp = step(oldval);
// let temp = step(oldval);
count += temp.len() as u64;
// new.push(oldval + THREAD_SKIP);
new.append(&mut temp);
}
(count, new)
}));
}
for child in children {
let (temp1, mut temp2) = child.join().unwrap();
new.append(&mut temp2);
count += temp1;
}
(count as f64 / old as f64, remove_duplicates(new))
}
fn main() {
// let mut ls: Vec<u64> = (1..(NUM_THREADS as u64) * THREAD_SKIP)
// .into_iter()
// .collect();
let mut count: f64;
let mut i = 0;
let mut total: f64 = 0.0;
let mut ls = primal::Primes::all().take_while(|x| *x < BASE as usize).map(|x| x as u64).collect();
loop {
let res = next(ls);
count = res.0;
ls = res.1;
i += 1;
total += count;
let res = total as f64 / i as f64;
println!("{}\t{}", res, f64::abs(res / (BASE as f64 / f64::ln(BASE as f64))));
}
}