If you do not want to create a wrapper type you can use the ordered_float or ord_subset crate. For example
extern crate ordered_float;
extern crate ord_subset;
#[test]
fn test_example_() {
use ordered_float::OrderedFloat;
// OrderedFloat -> NaN is greater than all other values and equal to itself.
// NotNaN -> NotNaN::new panics if called with NaN.
let mut a: Vec<f64> = vec![-3.0, 0.2, 1.4];
let max = *a.iter().max_by_key(|n| OrderedFloat(n.abs())).unwrap();
assert_eq!(-3.0, max);
a.sort_by_key(|n| OrderedFloat(n.abs()));
assert_eq!(vec![0.2, 1.4, -3.0], a);
}
#[test]
fn test_example_ord_subset() {
use ord_subset::OrdSubsetIterExt;
let a: Vec<f64> = vec![-3.0, 0.2, 1.4];
// For f64, NaN is ignored.
let max = *a.iter().ord_subset_max_by_key(|n| n.abs()).unwrap();
assert_eq!(-3.0, max);
// ord_subset does not help with the sorting problem in the question
}