Struct SecondOrderDual

pub struct SecondOrderDual { /* private fields */ }

Second-order dual number for computing exact second derivatives

Implementations

impl SecondOrderDual

pub fn new(value: f64, first: f64, second: f64) -> Self

Create a new second-order dual number

pub fn constant(value: f64) -> Self

Create a constant (derivatives = 0)

pub fn variable(value: f64) -> Self

Create a variable (first = 1, second = 0)

pub fn value(self) -> f64

Get the function value

pub fn first_derivative(self) -> f64

Get the first derivative

pub fn second_derivative(self) -> f64

Get the second derivative

pub fn exp(self) -> Self

Compute exponential

pub fn ln(self) -> Self

Compute natural logarithm

pub fn powi(self, n: i32) -> Self

Compute power (self^n)

pub fn sin(self) -> Self

Compute sine

pub fn cos(self) -> Self

Compute cosine

Trait Implementations

impl Add for SecondOrderDual

type Output = SecondOrderDual

The resulting type after applying the + operator.

fn add(self, other: Self) -> Self

Performs the + operation.

impl Clone for SecondOrderDual

fn clone(&self) -> SecondOrderDual

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for SecondOrderDual

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

Formats the value using the given formatter.

impl Div for SecondOrderDual

type Output = SecondOrderDual

The resulting type after applying the / operator.

fn div(self, other: Self) -> Self

Performs the / operation.

impl Mul<f64> for SecondOrderDual

type Output = SecondOrderDual

The resulting type after applying the * operator.

fn mul(self, scalar: f64) -> Self

Performs the * operation.

impl Mul for SecondOrderDual

type Output = SecondOrderDual

The resulting type after applying the * operator.

fn mul(self, other: Self) -> Self

Performs the * operation.

impl Sub for SecondOrderDual

type Output = SecondOrderDual

The resulting type after applying the - operator.

fn sub(self, other: Self) -> Self

Performs the - operation.

impl Copy for SecondOrderDual