Struct CosineProductIntegration 

pub struct CosineProductIntegration { /* private fields */ }

The Cosine Product Integration problem.

Given integer coefficients a_1, ..., a_n, determine whether there exists a sign assignment ε ∈ {-1, +1}^n with ∑ εᵢ aᵢ = 0.

Representation

Each variable chooses a sign: 0 means +aᵢ, 1 means −aᵢ. A configuration is satisfying when the resulting signed sum is zero.

Example

use problemreductions::models::misc::CosineProductIntegration;
use problemreductions::{Problem, BruteForce};

// coefficients [2, 3, 5]: sign assignment (+2, +3, -5) = 0
let problem = CosineProductIntegration::new(vec![2, 3, 5]);
let solver = BruteForce::new();
let solution = solver.solve(&problem).unwrap();
assert!(solution.is_some());

Implementations

impl CosineProductIntegration

pub fn new(coefficients: Vec<i64>) -> Self

Create a new CosineProductIntegration instance.

Panics

Panics if coefficients is empty.

pub fn coefficients(&self) -> &[i64]

Returns the cosine coefficients.

pub fn num_coefficients(&self) -> usize

Returns the number of coefficients.

Trait Implementations

impl BruteForceProblem for CosineProductIntegration

fn dimensions(&self) -> Vec<usize>

Cardinality of each coordinate in the brute-force search space.

fn num_variables(&self) -> usize

Number of coordinates in the brute-force search space.

impl Clone for CosineProductIntegration

fn clone(&self) -> CosineProductIntegration

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for CosineProductIntegration

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

Formats the value using the given formatter.

impl DeclaredVariant for CosineProductIntegration

impl<'de> Deserialize<'de> for CosineProductIntegration

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

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Problem for CosineProductIntegration

const NAME: &'static str = "CosineProductIntegration"

Base name of this problem type (e.g., “MaximumIndependentSet”).

type Solution = Vec<bool>

Mathematical witness type for this problem.

type Value = Or

The evaluation value type.

fn parameter_names() -> &'static [&'static str]

Canonical parameter names for this problem model.

fn parameters(&self) -> ProblemParameters

Measure the complete canonical parameters of this concrete instance.

fn variant() -> Vec<(&'static str, &'static str)>

Returns variant attributes derived from type parameters.

fn evaluate(&self, config: &Self::Solution) -> Result<Or, EvaluationError>

Evaluate the problem on a solution.

fn problem_type() -> ProblemType

Look up this problem’s catalog entry.

impl ReduceTo<CosineProductIntegration> for Partition

type Result = ReductionPartitionToCPI

The reduction result type.

fn reduce_to(&self) -> Result<Self::Result, ReductionError>

Reduce this problem to the target problem type.

fn target_construction(error: ConstructionError) -> ReductionError

where Self: Sized,

Attach this reduction edge to a target-construction failure.

fn exact_i64( value: usize, operation: impl Into<String>, ) -> Result<i64, ReductionError>

where Self: Sized,

Convert a structural count used by the target’s exact integer algebra.

impl Serialize for CosineProductIntegration

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

where __S: Serializer,

Serialize this value into the given Serde serializer.