Struct Maximum2Satisfiability 

pub struct Maximum2Satisfiability { /* private fields */ }

Maximum 2-Satisfiability problem where each clause has exactly 2 literals.

Given a set of Boolean variables and a collection of clauses, each containing exactly 2 literals, find a truth assignment that maximizes the number of simultaneously satisfied clauses.

Example

use problemreductions::models::formula::{Maximum2Satisfiability, CNFClause};
use problemreductions::{Problem, BruteForce};

let problem = Maximum2Satisfiability::new(
    3,
    vec![
        CNFClause::new(vec![1, 2]),    // x1 OR x2
        CNFClause::new(vec![-1, -2]),  // NOT x1 OR NOT x2
        CNFClause::new(vec![1, 3]),    // x1 OR x3
    ],
);

let solver = BruteForce::new();
let value = solver.solve(&problem).unwrap();

Implementations

impl Maximum2Satisfiability

pub fn new(num_vars: usize, clauses: Vec<CNFClause>) -> Self

Create a new MAX-2-SAT problem.

Panics

Panics if any clause does not have exactly 2 literals.

pub fn try_new( num_vars: usize, clauses: Vec<CNFClause>, ) -> Result<Self, ConstructionError>

Create a new MAX-2-SAT problem after validating its clauses.

pub fn num_vars(&self) -> usize

Get the number of variables.

pub fn num_clauses(&self) -> usize

Get the number of clauses.

pub fn clauses(&self) -> &[CNFClause]

Get the clauses.

pub fn count_satisfied( &self, assignment: &[bool], ) -> Result<i64, EvaluationError>

Count satisfied clauses for an assignment.

Trait Implementations

impl BruteForceProblem for Maximum2Satisfiability

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 Maximum2Satisfiability

fn clone(&self) -> Maximum2Satisfiability

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Maximum2Satisfiability

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

Formats the value using the given formatter.

impl DeclaredVariant for Maximum2Satisfiability

impl<'de> Deserialize<'de> for Maximum2Satisfiability

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

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Problem for Maximum2Satisfiability

const NAME: &'static str = "Maximum2Satisfiability"

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

type Solution = Vec<bool>

Mathematical witness type for this problem.

type Value = Max<i64>

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 evaluate(&self, config: &Self::Solution) -> Result<Max<i64>, EvaluationError>

Evaluate the problem on a solution.

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

Returns variant attributes derived from type parameters.

fn problem_type() -> ProblemType

Look up this problem’s catalog entry.

impl ReduceTo<ILP> for Maximum2Satisfiability

type Result = ReductionMaximum2SatisfiabilityToILP

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 ReduceTo<MaxCut<SimpleGraph, i64>> for Maximum2Satisfiability

type Result = ReductionMaximum2SatisfiabilityToMaxCut

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 ReduceTo<Maximum2Satisfiability> for Satisfiability

type Result = ReductionSatisfiabilityToMaximum2Satisfiability

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 Maximum2Satisfiability

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

where __S: Serializer,

Serialize this value into the given Serde serializer.