Struct Sphere

pub struct Sphere { /* private fields */ }

n-dimensional Sphere function.

It is continuous, convex and unimodal:

f(x) = ∑ᵢ xᵢ²

Global minimum: f(0,...,0) = 0

Implementations

impl Sphere

pub fn new(dimensions: usize) -> Sphere

Trait Implementations

impl Clone for Sphere

fn clone(&self) -> Sphere

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Sphere

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

Formats the value using the given formatter.

impl Default for Sphere

fn default() -> Self

Returns the “default value” for a type.

impl Function for Sphere

fn value(&self, x: &[f64]) -> f64

Computes the objective function at a given position x, i.e., f(x) = y.

impl Function1 for Sphere

fn gradient(&self, x: &[f64]) -> Vec<f64>

Computes the gradient of the objective function at a given position x, i.e., ∀ᵢ ∂/∂xᵢ f(x) = ∇f(x).

impl Problem for Sphere

fn dimensions(&self) -> usize

Returns the dimensionality of the input domain.

fn domain(&self) -> Vec<(f64, f64)>

Returns the input domain of the function in terms of upper and lower, respectively, for each input dimension.

fn minimum(&self) -> (Vec<f64>, f64)

Returns the position as well as the value of the global minimum.

fn random_start(&self) -> Vec<f64>

Generates a random and feasible position to start a minimization.

fn is_legal_position(&self, position: &[f64]) -> bool

Tests whether the supplied position is legal for this function.

impl Copy for Sphere