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5 changed files with 55 additions and 165 deletions

115
Cargo.lock generated
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@ -1,7 +1,5 @@
# This file is automatically @generated by Cargo.
# It is not intended for manual editing.
version = 3
[[package]]
name = "ansi_term"
version = "0.11.0"
@ -22,24 +20,12 @@ dependencies = [
"winapi",
]
[[package]]
name = "autocfg"
version = "1.1.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "d468802bab17cbc0cc575e9b053f41e72aa36bfa6b7f55e3529ffa43161b97fa"
[[package]]
name = "bitflags"
version = "1.2.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "cf1de2fe8c75bc145a2f577add951f8134889b4795d47466a54a5c846d691693"
[[package]]
name = "cfg-if"
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[[package]]
name = "clap"
version = "2.33.3"
@ -55,56 +41,6 @@ dependencies = [
"vec_map",
]
[[package]]
name = "crossbeam-channel"
version = "0.5.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "e54ea8bc3fb1ee042f5aace6e3c6e025d3874866da222930f70ce62aceba0bfa"
dependencies = [
"cfg-if",
"crossbeam-utils",
]
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source = "registry+https://github.com/rust-lang/crates.io-index"
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dependencies = [
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"crossbeam-epoch",
"crossbeam-utils",
]
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[[package]]
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@ -127,7 +63,6 @@ dependencies = [
name = "indivisible"
version = "2.0.0"
dependencies = [
"rayon",
"structopt",
]
@ -143,25 +78,6 @@ version = "0.2.87"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "265d751d31d6780a3f956bb5b8022feba2d94eeee5a84ba64f4212eedca42213"
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dependencies = [
"hermit-abi",
"libc",
]
[[package]]
name = "proc-macro-error"
version = "1.0.4"
@ -204,37 +120,6 @@ dependencies = [
"proc-macro2",
]
[[package]]
name = "rayon"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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]
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[[package]]
name = "strsim"
version = "0.8.0"

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@ -12,4 +12,3 @@ keywords = ["primes", "math"]
[dependencies]
structopt = "0.3.13"
rayon = "1.5"

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@ -1,9 +1,10 @@
# Indivisible
===================
*** Indivisible ***
===================
Indivisible is an optimized prime number generator and tester written in Rust.
## Build & Installation
# Build & Installation
----------------------
To build the project you will require the Rust compiler and build
system, `cargo`. At which point you simply run `cargo build` in the root
directory of the project. To create an optimized release build append
@ -14,8 +15,8 @@ the manpage documentation by running the `install` script. In a similar
manner, you can run the `uninstall` script to remove the previously
installed binary and documentation.
## Usage
# Usage
-------
The purpose of Indivisible is to find the nth prime and all the primes
before it. The basic usage is `indivisible <n>` where `n` is the ordinal
of the prime you'd like to find. To display all primes before `n`, you
@ -26,23 +27,22 @@ can also import prime numbers previously computed with the `--import` or
`-i` option. To store already computed primes you are expected to use
piping like any UNIX user would expect. Here is an example:
```bash
# store first 100 primes in ./primes
indivisible -v 100 > ./primes
# appends next 400 primes
indivisible -i ./primes -v 500 >> ./primes
# display the 600th prime
indivisible -i ./primes 600
```
## Legacy
This project was originally written in C. It can be found in the
[indivisible-legacy repository](https://gitlab.com/naortega/Indivisible-legacy)
on my GitLab.
## License
# Legacy
--------
This project was originally written in C. It can be found on my GitLab
page.[1]
# License
---------
This project is licensed under the terms & conditions of the GNU General
Public License version 3 or greater (see `LICENSE` file for more
information).
[1] https://gitlab.com/naortega/Indivisible-legacy

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@ -35,7 +35,7 @@ struct Opt
#[structopt(short, long, help = "Test if n is prime instead of generation")]
test:bool,
#[structopt(help = "Ordinal of the prime to generate")]
n:u64,
n:usize,
}
fn main()
@ -50,9 +50,12 @@ fn main()
{
let in_file = File::open(opts.import.unwrap()).unwrap();
let reader = BufReader::new(in_file);
reader.lines().into_iter().for_each(|x| {
primes.push_back(x.unwrap().parse().unwrap());
});
for line in reader.lines()
{
let line = line.unwrap();
let aux:u64 = line.parse().unwrap();
primes.push_back(aux);
}
}
if opts.test
@ -61,17 +64,17 @@ fn main()
// if no primes were imported, test from beginning (2)
if primes.len() == 0
{
res = test::is_prime(n);
res = test::is_prime(n as u64);
}
// `n` should be in `primes` if the last prime is larger than `n`
else if primes.back().unwrap() >= &(n)
else if primes.back().unwrap() >= &(n as u64)
{
res = primes.contains(&(n));
res = primes.contains(&(n as u64));
}
// we can memory test `n` if the last prime is >= sqrt(n)
else if primes.back().unwrap() >= &((n as f64).sqrt() as u64)
{
res = test::is_prime_mem(n, &primes)
res = test::is_prime_mem(n as u64, &primes)
}
/*
* if we have less primes than sqrt(n) then we can test all those
@ -80,10 +83,10 @@ fn main()
*/
else
{
res = test::is_prime_mem(n, &primes);
res = test::is_prime_mem(n as u64, &primes);
if res
{
res = test::is_prime_f(n, primes.back().unwrap() + 2);
res = test::is_prime_f(n as u64, primes.back().unwrap() + 2);
}
}
@ -107,9 +110,9 @@ fn main()
else
{
// if `primes` already contains the nth prime, print it
if primes.len() >= n as usize
if primes.len() >= n
{
println!("{}", primes.get((n as usize) - 1).unwrap());
println!("{}", primes.get(n-1).unwrap());
}
else
{
@ -134,7 +137,7 @@ fn main()
candidate = *primes.back().unwrap() + 2;
}
while primes.len() < n as usize
while primes.len() < n
{
if test::is_prime_mem(candidate, &primes)
{
@ -150,7 +153,7 @@ fn main()
if !opts.verbose
{
println!("{}", primes.get((n as usize) - 1).unwrap());
println!("{}", primes.get(n-1).unwrap());
}
}
}

View File

@ -17,18 +17,12 @@
*/
use std::collections::VecDeque;
use rayon::prelude::*;
pub fn is_prime_f(n:u64, b:u64) -> bool
{
assert_ne!(b, 0);
assert_ne!(b, 1);
if n == 1
{
return false;
}
let mut start = b;
if start == 2
{
@ -48,9 +42,14 @@ pub fn is_prime_f(n:u64, b:u64) -> bool
}
let limit = (n as f64).sqrt() as u64 + 1;
let composite = (start..limit).step_by(2).collect::<Vec<u64>>()
.par_iter().any(|x| n % x == 0);
return !composite;
for i in (start..limit).step_by(2)
{
if n % i == 0
{
return false;
}
}
return true;
}
pub fn is_prime(n:u64) -> bool
@ -61,8 +60,12 @@ pub fn is_prime(n:u64) -> bool
pub fn is_prime_mem(n:u64, primes:&VecDeque<u64>) -> bool
{
let limit = (n as f64).sqrt() as u64;
let pp = primes.partition_point(|x| *x < limit);
//let composite = primes.par_iter().take(pp+1).any(|x| n % *x == 0);
let composite = primes.iter().take(pp+1).any(|x| n % *x == 0);
return !composite;
for i in primes.iter().take_while(|x| **x <= limit)
{
if n % *i == 0
{
return false;
}
}
return true;
}