Struct HyperDual 

pub struct HyperDual {
    pub re: f64,
    pub e1: f64,
    pub e2: f64,
    pub e12: f64,
}

A second-order (hyper-)dual number re + e1·ε₁ + e2·ε₂ + e12·ε₁ε₂, with ε₁² = ε₂² = 0. Seeding ε₁ and ε₂ on two inputs makes e12 the exact mixed partial ∂²f/∂x∂y; seeding both on the same input makes e12 = f''.

Fields

re: f64

e1: f64

e2: f64

e12: f64

Implementations

impl HyperDual

pub fn constant(c: f64) -> Self

A constant.

pub fn var2(x: f64) -> Self

A value seeded active in both infinitesimal directions — used to read the pure second derivative f''(x) from e12.

pub fn var_e1(x: f64) -> Self

A value seeded active in the ε₁ direction only (for mixed partials).

pub fn var_e2(x: f64) -> Self

A value seeded active in the ε₂ direction only (for mixed partials).

pub fn sin(self) -> Self

Sine.

pub fn cos(self) -> Self

Cosine.

pub fn exp(self) -> Self

Exponential.

pub fn tanh(self) -> Self

Hyperbolic tangent (tanh' = 1−tanh², tanh'' = −2·tanh·(1−tanh²)).

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

Real power.

Trait Implementations

impl Add for HyperDual

type Output = HyperDual

The resulting type after applying the + operator.

fn add(self, o: HyperDual) -> HyperDual

Performs the + operation.

impl Clone for HyperDual

fn clone(&self) -> HyperDual

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for HyperDual

impl Debug for HyperDual

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

Formats the value using the given formatter.

impl Mul for HyperDual

type Output = HyperDual

The resulting type after applying the * operator.

fn mul(self, o: HyperDual) -> HyperDual

Performs the * operation.

impl Neg for HyperDual

type Output = HyperDual

The resulting type after applying the - operator.

fn neg(self) -> HyperDual

Performs the unary - operation.

impl Sub for HyperDual

type Output = HyperDual

The resulting type after applying the - operator.

fn sub(self, o: HyperDual) -> HyperDual

Performs the - operation.