Struct RectilinearPictureCompression 

pub struct RectilinearPictureCompression { /* private fields */ }

The Rectilinear Picture Compression problem.

Given an m x n binary matrix M and a nonnegative integer K, determine whether there exists a collection of at most K axis-aligned all-1 rectangles that covers precisely the 1-entries of M.

Representation

The configuration space consists of the maximal all-1 rectangles in the matrix. Each variable is binary: 1 if the rectangle is selected, 0 otherwise. The problem is satisfiable iff the selected rectangles number at most K and their union covers all 1-entries.

Example

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

let matrix = vec![
    vec![true, true, false, false],
    vec![true, true, false, false],
    vec![false, false, true, true],
    vec![false, false, true, true],
];
let problem = RectilinearPictureCompression::new(matrix, 2);
let solver = BruteForce::new();
let solution = solver.solve(&problem).unwrap();
assert!(solution.is_some());

Implementations

impl RectilinearPictureCompression

pub fn new(matrix: Vec<Vec<bool>>, bound: i64) -> Self

Create a new RectilinearPictureCompression instance.

Panics

Panics if matrix is empty or has inconsistent row lengths.

pub fn num_rows(&self) -> usize

Returns the number of rows in the matrix.

pub fn num_cols(&self) -> usize

Returns the number of columns in the matrix.

pub fn bound(&self) -> i64

Returns the bound K.

pub fn matrix(&self) -> &[Vec<bool>]

Returns a reference to the binary matrix.

pub fn maximal_rectangles(&self) -> &[(usize, usize, usize, usize)]

Returns the precomputed maximal all-1 sub-rectangles.

Each rectangle is (r1, c1, r2, c2) covering rows r1..=r2 and columns c1..=c2.

pub fn num_rectangles(&self) -> usize

Number of cached maximal all-1 rectangles.

pub fn total_rectangle_area(&self) -> usize

Sum of maximal rectangle areas, counting overlapping cells separately.

Trait Implementations

impl BruteForceProblem for RectilinearPictureCompression

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 RectilinearPictureCompression

fn clone(&self) -> RectilinearPictureCompression

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for RectilinearPictureCompression

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

Formats the value using the given formatter.

impl DeclaredVariant for RectilinearPictureCompression

impl<'de> Deserialize<'de> for RectilinearPictureCompression

fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Problem for RectilinearPictureCompression

const NAME: &'static str = "RectilinearPictureCompression"

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<ILP> for RectilinearPictureCompression

type Result = ReductionRPCToILP

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 RectilinearPictureCompression

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

where __S: Serializer,

Serialize this value into the given Serde serializer.