Lib.rs

Dual Balanced Ternary Arithmetic

Migrated from https://github.com/dual-balanced-ternary/dual-balanced-ternary.nim

Rust Docs.

Usages

use dual_balanced_ternary::{ternary};

ternary("&1.1")

Development

cargo test
cargo run --example buffer

Notice, current buffer format is not compact, but conceptually:

[integral length]+[integral pairs]+[fractional pairs]

since a dbt digits pair takes 81 and u8 takes 256, 2/3 of spaces are wasted.

License

MIT

lib.rs:

• Dual Balanced Ternary Arithmetic

Dual balanced ternary(DBT) is an extension to balanced ternary in 2D space. Unit values of DBT is has a layout like a magic square, where 1 is the front direction.

  6 1 8
  7 5 3
  2 9 4

At a bigger scale, the layout of the magic square repeats, which leads to &11 and &19 like in decimals. & in this case is a special mark indicating it's a DBT value.

There are some interesting features for the basic math:

= (* &1 &1) &1
= (* &1 &9) &9
= (* &9 &9) &1
= (* &3 &3) &9

and:

= (+ &1 &3) &8
= (+ &1 &1) &19
= (* &3 &7) &5

The math is roughly equal to Complex numbers, expect for that its identity value is 1 pointing at at front.