Struct autodj::Dual

pub struct Dual {
    pub val: f64,
    pub dual: f64,
}

Dual numbers as mathematical basis

Fields

val: f64

Ordinary (“real”) component

dual: f64

Dual component

Implementations

impl Dual

Utility

pub fn custom<F, D>(&self, func: &F, deriv: &D) -> Self where
    F: FloatFunction,
    D: FloatFunction, 

Apply custom function-derivative pair to a dual number. May be used to extend the provided set of functions

trait OpsExtended{
    fn powi(self, n: i32) -> Self;
}

use autodj::*;

impl OpsExtended for Dual {
    fn powi(self, n: i32) -> Self {
        self.custom(
            |x : f64| x.powi(n),//
            |x : f64| x.powi(n - 1) * (n as f64)
        )
    }
}

let x = std::f64::consts::PI;
let n = 2;
let f = x.var().powi(n);

pub fn derive<DF>(&self, func: &DF) -> Dual where
    DF: DualFunction, 

Apply DualFunction to a dual number

impl Dual

commonly used functions

pub fn powf(self, p: f64) -> Self

pub fn sin(self) -> Self

pub fn cos(self) -> Self

pub fn sin_cos(self) -> (Self, Self)

pub fn exp(self) -> Self

pub fn ln(self) -> Self

pub fn abs(self) -> Self

pub fn signum(self) -> Self

Trait Implementations

impl Add<Dual> for Dual

type Output = Dual

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self::Output

Performs the + operation.

impl Clone for Dual

fn clone(&self) -> Dual

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Dual

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

Formats the value using the given formatter.

impl Div<Dual> for Dual

type Output = Dual

The resulting type after applying the / operator.

fn div(self, rhs: Self) -> Self::Output

Performs the / operation.

impl Mul<Dual> for Dual

type Output = Dual

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self::Output

Performs the * operation.

impl Neg for Dual

type Output = Dual

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl PartialEq<Dual> for Dual

fn eq(&self, other: &Dual) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Sub<Dual> for Dual

type Output = Dual

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self::Output

Performs the - operation.

impl Copy for Dual

impl StructuralPartialEq for Dual