Struct TropicalMultivector 

pub struct TropicalMultivector<T, const DIM: usize>
where
    T: Float,
{ /* private fields */ }

Tropical multivector for geometric operations in tropical algebra

Implementations

impl<T, const DIM: usize> TropicalMultivector<T, DIM>

where T: Float,

pub fn zero() -> TropicalMultivector<T, DIM>

Create zero tropical multivector

pub fn from_coefficients(coeffs: Vec<T>) -> TropicalMultivector<T, DIM>

Create from regular coefficients

pub fn from_log_probs(log_probs: &[T]) -> TropicalMultivector<T, DIM>

Create from log probabilities

pub fn get(&self, index: usize) -> TropicalNumber<T>

Get coefficient at index

pub fn set(&mut self, index: usize, value: TropicalNumber<T>)

Set coefficient at index

pub fn geometric_product( &self, other: &TropicalMultivector<T, DIM>, ) -> TropicalMultivector<T, DIM>

Tropical geometric product

pub fn max_element(&self) -> TropicalNumber<T>

Find the maximum element (tropical sum)

pub fn is_zero(&self) -> bool

Check if the multivector is zero

pub fn add( &self, other: &TropicalMultivector<T, DIM>, ) -> TropicalMultivector<T, DIM>

Add two tropical multivectors

pub fn tropical_add( &self, other: &TropicalMultivector<T, DIM>, ) -> TropicalMultivector<T, DIM>

Tropical addition (alias for add)

pub fn tropical_mul( &self, other: &TropicalMultivector<T, DIM>, ) -> TropicalMultivector<T, DIM>

Tropical multiplication (element-wise multiplication of coefficients)

pub fn tropical_scale(&self, scalar: T) -> TropicalMultivector<T, DIM>

Tropical scaling (multiply all coefficients by scalar)

pub fn scale(&self, factor: T) -> TropicalMultivector<T, DIM>

Scale by a regular scalar

pub fn support(&self) -> Vec<usize>

Get indices of non-zero (non-negative-infinity) elements

pub fn tropical_norm(&self) -> TropicalNumber<T>

Tropical norm (maximum absolute value)

pub fn from_logits(logits: &[T]) -> TropicalMultivector<T, DIM>

Create from logits (log probabilities)

pub fn viterbi( transitions: &TropicalMatrix<T>, emissions: &TropicalMatrix<T>, initial_probs: &[T], sequence_length: usize, ) -> Vec<usize>

Viterbi algorithm using tropical algebra Returns the most likely path through states

Trait Implementations

impl<T, const DIM: usize> Clone for TropicalMultivector<T, DIM>

where T: Clone + Float,

fn clone(&self) -> TropicalMultivector<T, DIM>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T, const DIM: usize> Debug for TropicalMultivector<T, DIM>

where T: Debug + Float,

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

Formats the value using the given formatter.