Enum DifferenceScheme 

pub enum DifferenceScheme {
    Central,
    ForwardOneSided,
    BackwardOneSided,
}

Which finite-difference formula actually produced a Derivative (review fix I4).

A one-sided scheme has different, generally larger (O(h) vs. O(h^2)) truncation error than a central one – see the module doc’s “One-sided fallback” section for when and why each one is chosen. This is part of the public contract precisely so a caller building an error budget (or reporting a method, MBA-1347) does not have to silently assume every Derivative is central.

Serialize/Deserialize (0.33.0 decision-support Task 10, MBA-1347): error_budget’s SourceContributionV1 carries this scheme directly in its wire payload, per that task’s requirement that a one-sided derivative’s larger truncation error be visible in the report itself, not just in prose documentation.

Variants

Central

(f(x+h) - f(x-h)) / 2h – both perturbed sides evaluated successfully.

ForwardOneSided

(f(x+h) - f(x)) / h – the backward side (x-h) failed to evaluate (most often because it left the axis’s physical domain), so the forward side and the unperturbed value at x were used instead.

BackwardOneSided

(f(x) - f(x-h)) / h – the forward side (x+h) failed to evaluate (most often because it left the axis’s physical domain), so the backward side and the unperturbed value at x were used instead.

Trait Implementations

impl Clone for DifferenceScheme

fn clone(&self) -> DifferenceScheme

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for DifferenceScheme

impl Debug for DifferenceScheme

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for DifferenceScheme

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Eq for DifferenceScheme

impl PartialEq for DifferenceScheme

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

Equality operator ==.

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

Inequality operator !=.

impl Serialize for DifferenceScheme

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl StructuralPartialEq for DifferenceScheme