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# Partial Function
A clean way to define function as a set of smaller functions where each has defined start and end bounds.

## Partial Function

Achieves the following:
```
f(x) = {
    x     if 0 <= x <   5
    x * 2 if 5 <= x <= 10
}
```
Expressed as:
```rs
let p = PartialFunction::new()
    .with(0.0, 5.0,  Box::new(|x| x    ))
    .with(5.0, 10.0, Box::new(|x| x * 2))
    .build();
assert_eq!(p.eval(5.0), Some(10.0));
```

## Lower Partial Function

Achieves the following:
```
f(x) = {
    x     if 0 <= x <   5
    x * 2 if 5 <= x
}
```
Expressed as:
```rs
let f = LowerPartialFunction::new()
    .with(0.0, Box::new(|x| x    ))
    .with(5.0, Box::new(|x| x * 2))
    .build();
assert_eq!(f.eval(5.0), Some(10.0));
```