Struct GradedBettiTable 

pub struct GradedBettiTable { /* private fields */ }

Canonical exact multigraded Betti numbers beta_(i,a).

Internal degrees are the negatives of Noether’s free-module shifts: a summand R(-a) contributes one to beta_(i,a).

Implementations

impl GradedBettiTable

pub fn grading(&self) -> &FreeAbelianGrading

Exact polynomial-ring grading.

pub fn length(&self) -> usize

Greatest represented homological degree.

pub fn completeness(&self) -> &ResolutionCompleteness

Exact completeness or truncation claim inherited from the resolution.

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

Canonical nonzero (homological degree, internal degree, multiplicity) entries.

pub fn get(&self, homological_degree: usize, internal_degree: &Degree) -> usize

One exact multigraded Betti number.

pub fn total(&self, homological_degree: usize) -> usize

Total rank in one represented homological degree.

pub fn projective_dimension(&self) -> Option<usize>

Projective dimension when the resolution is proved complete.

pub fn verify(&self) -> Result<(), GradedBettiTableError>

Independently recheck all canonical sparse-table invariants.

pub fn to_json(&self) -> Result<String, NoetherError>

Serialize the complete exact table as typed JSON.

pub fn from_json(value: &str) -> Result<Self, NoetherError>

Deserialize and independently revalidate an exact table.

Trait Implementations

impl Clone for GradedBettiTable

fn clone(&self) -> GradedBettiTable

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for GradedBettiTable

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for GradedBettiTable

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

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for GradedBettiTable

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

Formats the value using the given formatter.

impl PartialEq for GradedBettiTable

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

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl SemanticType for GradedBettiTable

const TYPE_ID: &'static str = "noether/homalg/GradedBettiTable@1"

Versioned, language-neutral semantic identity.

fn canonical_bytes(&self) -> Result<Vec<u8>, NoetherError>

Serialize without backend- or language-specific identity.

fn describe() -> &'static TypeDescription

Return static discovery metadata for the type.

impl Serialize for GradedBettiTable

fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>

where S: Serializer,

Serialize this value into the given Serde serializer.

impl Eq for GradedBettiTable

impl StructuralPartialEq for GradedBettiTable