pub struct ADFn<F> { /* private fields */ }
Expand description

Generic AD functions

Description

To lift AD functions

Implementation

  • All Fn(AD) -> AD functions can be lift to Fn(f64) -> f64 via StableFn<f64>
  • grad(&self) -> Self gives gradient of original function
  • But still can use Fn(AD) -> AD via StableFn<AD>

Usage

extern crate peroxide;
use peroxide::fuga::*;

fn main() {
    let ad0 = 2f64;
    let ad1 = AD1(2f64, 1f64);
    let ad2 = AD2(2f64, 1f64, 0f64);

    let f_ad = ADFn::new(f);

    let ans0 = ad0.powi(2);
    let ans1 = ad1.powi(2).dx();
    let ans2 = ad2.powi(2).ddx();

    assert_eq!(ans0, f_ad.call_stable(ad0));

    let df = f_ad.grad();
    assert_eq!(ans1, df.call_stable(ad0));

    let ddf = df.grad();
    assert_eq!(ans2, ddf.call_stable(ad0));

    let ad1_output = f_ad.call_stable(ad1);
    assert_eq!(ad1_output, AD1(4f64, 4f64));

    let ad2_output = f_ad.call_stable(ad2);
    assert_eq!(ad2_output, AD2(4f64, 4f64, 2f64));
}

fn f(x: AD) -> AD {
    x.powi(2)
}

Implementations

Gradient

Trait Implementations

Auto Trait Implementations

Blanket Implementations

Gets the TypeId of self. Read more
Immutably borrows from an owned value. Read more
Mutably borrows from an owned value. Read more

Returns the argument unchanged.

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

The type returned in the event of a conversion error.
Performs the conversion.
The type returned in the event of a conversion error.
Performs the conversion.