Transforms a lattice's basis into a form in which the first vector of the basis is not "much" longer than the shortest (non-zero) vector of the lattice:
||first basis vector|| <= 2^((n-1)/2) ||shortest vector||
where n is the dimension of lattice (assuming LOVASZ_FACTOR = 4.0/3.0).
use lllreduce::{
Basetype,
gram_schmidt_with_coeffs,
lll_reduce};
fn main() {
let original_mtx : std::vec::Vec<std::vec::Vec::<Basetype>> = vec![
vec![0.0,3.0,4.0,7.0,8.0],
vec![1.0,0.0,1.0,8.0,7.0],
vec![1.0,1.0,3.0,5.0,6.0],
vec![0.0,3.0,4.0,7.0,6.0],
vec![0.0,3.0,4.0,8.0,9.0]
];
let mut mtxtuple = lllreduce::gram_schmidt_with_coeffs(original_mtx);
lll_reduce(&mut mtxtuple);
println!("\tLLL-reduced basis");
for a in &mtxtuple.2 {
println!("\t\t{:?}", a);
}
println!("\tumtx");
for a in &mtxtuple.0 {
println!("\t\t{:?}", a);
}
println!("\tqmtx");
for a in &mtxtuple.1 {
println!("\t\t{:?}", a);
}
}This is the very first, very drafty version, anything can change in it in the future.