# total_float_wrap
A wrapper around Rust's floating point types which provides a total ordering and hashing which allows it to be used in data structures such as hashmaps etc.
The ordering of this wrapper agrees with IEEE 754 totalOrd.
## Example Code
Below is example code using `TotalF64` as the key in a hashmap, it can be run with
`cargo run --example hashmap`.
```rs
use std::collections::HashMap;
use total_float_wrap::TotalF64;
fn main() {
let mut triangles: HashMap<TotalF64, Vec<(u32, u32)>> = Default::default();
let start_adj = 1;
let end_adj = 10;
let start_opp = 1;
let end_opp = 30;
for adjacent in start_adj..=end_adj {
for opposite in start_opp..=end_opp {
triangles
.entry(f64::atan2(adjacent.into(), opposite.into()).into())
.or_default()
.push((adjacent, opposite));
}
}
let (_, vals) = triangles.iter().max_by_key(|v| v.1.len()).unwrap();
println!("For the triangles in the square of points [{start_adj}..{end_adj}]x[{start_opp}..{end_opp}]");
for (TotalF64(angle), group) in triangles.iter().filter(|v| v.1.len() == vals.len()) {
println!("The group {group:?} has the maximal members");
println!(
"- with an angle of {:.2}° - a ratio of {:.5} between the opposite and the adjacent.",
angle.to_degrees(), angle.tan()
);
}
}
```