Struct BesselResidual 

pub struct BesselResidual {
    orders: Vec<f64>,
    arguments: Vec<Complex>,
    kind: Bessel,
    spherical: bool,
    derivative: u8,
    size: usize,
}

What bessel_array saves for its pullback: the orders, the arguments and the function. Only the arguments get gradients.

Fields

orders: Vec<f64>

arguments: Vec<Complex>

kind: Bessel

spherical: bool

derivative: u8

size: usize

Implementations

impl BesselResidual

pub fn new( orders: Vec<f64>, arguments: Vec<Complex>, kind: Bessel, spherical: bool, derivative: u8, ) -> Result<Self>

Keep the broadcast inputs needed by derivatives without evaluating values.

fn evaluate(&self, i: usize, derivative: u8) -> Result<Complex>

pub fn pushforward(&self, tangents: [&[Complex]; 1]) -> Result<Vec<Complex>>

Directional derivative of every value with respect to its complex argument.

pub fn pullback(&self, cotangent: &[Complex]) -> Result<Vec<Complex>>

The gradient with respect to the arguments, given the gradient cotangent with respect to the values: cotangent times the conjugate of the next derivative. An argument given as one value for all elements receives the sum of its element gradients; the orders have no gradient.

Trait Implementations

impl Debug for BesselResidual

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.