base_custom

Use any characters as your own numeric base and convert to and from decimal. This can be taken advantage of in various ways:

Mathematics: number conversion
Brute force sequencing
Rolling ciphers
Moderate information concealment
Other potential uses such as deriving music or art from numbers

There is also a Ruby and Crystal implementation of this which this was based off of.

Installation

Add the following to your Cargo.toml file

[dependencies]
base_custom = "^0.2"

To include it for usage add

extern crate base_custom;
use base_custom::BaseCustom;

to your file.

Usage

// Binary with no delimiter
let base2 = BaseCustom::<char>::new("01".chars().collect());
assert_eq!(base2.decimal("00001"), 1_u64);
assert_eq!(base2.decimal("100110101"), 309_u64);
assert_eq!(base2.gen(340), "101010100");
assert_eq!(base2.gen(0xF45), "111101000101");
assert_eq!(base2.gen(0b111), "111");

// Trinary with no delimiter
let base3 = BaseCustom::<char>::new("ABC".chars().collect());
assert_eq!(base3.decimal("ABC"), 5);
assert_eq!(base3.gen(123), "BBBCA");

// Custom base like Musical Chords and a space delimiter
let base_music = BaseCustom::<String>::new("A A# B C C# D D# E F F# G G#", Some(' '));
assert_eq!(base_music.decimal("F F# B D# D A# D# F# "), 314159265);
assert_eq!(base_music.gen(314159265), "F F# B D# D A# D# F# ");

When using BaseCustom::<String>::new the second parameter must be of Option<char> to choose your optional delimiter.

Benchmarks

Benchmarks are provided for the various usages and implementations. BaseCustom<char> is by far the most efficient implementation.

License

Licensed under either of

Apache License, Version 2.0, (LICENSE-APACHE or http://www.apache.org/licenses/LICENSE-2.0)
MIT license (LICENSE-MIT or http://opensource.org/licenses/MIT)

at your option.

Contribution

Unless you explicitly state otherwise, any contribution intentionally submitted for inclusion in the work by you, as defined in the Apache-2.0 license, shall be dual licensed as above, without any additional terms or conditions.

Comments

$Question: Can this support decimals/fractions$
Question: Can this support decimals/fractions
Hi, stumbled upon this as just learning Rust and looking at options to provide more accurate conversions between base 12 and base 10 that I can achieve with Javascript.

I attempted to use this like:

let base12 = BaseCustom::<char>::new("0123456789ab".chars().collect()); println!("{}", base12.decimal("1.6"));

Expecting (/hoping) would get result of 1.5 but it panicked

Any chance this could be adapted to support fractions?
opened by bristoljon 0