pub fn all_pairs_shortest_distance<F>(fst: &F) -> Result<Vec<Vec<F::W>>, Error>where
    F: Fst + ExpandedFst,
    F::W: StarSemiring,
Expand description

This operation computes the shortest distance from each state to every other states. The shortest distance from p to q is the ⊕-sum of the weights of all the paths between p and q.

Example

use rustfst::semirings::{Semiring, IntegerWeight};
use rustfst::fst_impls::VectorFst;
use rustfst::fst_traits::MutableFst;
use rustfst::algorithms::all_pairs_shortest_distance;
use rustfst::arc::Arc;

let mut fst = VectorFst::new();
let s0 = fst.add_state();
let s1 = fst.add_state();
let s2 = fst.add_state();

fst.add_arc(&s0, Arc::new(32, 23, IntegerWeight::new(18), s1));
fst.add_arc(&s0, Arc::new(32, 23, IntegerWeight::new(21), s2));
fst.add_arc(&s1, Arc::new(32, 23, IntegerWeight::new(55), s2));

let dists = all_pairs_shortest_distance(&fst).unwrap();

assert_eq!(dists, vec![
    vec![IntegerWeight::one(), IntegerWeight::new(18), IntegerWeight::new(18*55 + 21)],
    vec![IntegerWeight::zero(), IntegerWeight::one(), IntegerWeight::new(55)],
    vec![IntegerWeight::zero(), IntegerWeight::zero(), IntegerWeight::one()],
]);