Struct TropicalMultivector 

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

A geometric algebra multivector in tropical space

Combines geometric algebra with tropical semiring operations. Generic over:

• T: Scalar type (must implement Float)
• P, Q, R: Metric signature (p positive, q negative, r null dimensions)

Implementations

impl<T, const P: usize, const Q: usize, const R: usize> TropicalMultivector<T, P, Q, R>

where T: Float,

pub fn new() -> TropicalMultivector<T, P, Q, R>

Create a new tropical multivector

Initializes all components to tropical zero (-∞)

pub fn from_components( components: Vec<T>, ) -> Result<TropicalMultivector<T, P, Q, R>, TropicalError>

Create from component values

pub fn dim(&self) -> usize

Get total number of components

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

Get component at index

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

Set component at index

pub fn components(&self) -> &[TropicalNumber<T>]

Get slice of all components

pub fn tropical_add( &self, other: &TropicalMultivector<T, P, Q, R>, ) -> TropicalMultivector<T, P, Q, R>

Tropical multivector addition (grade-wise max)

pub fn geometric_product( &self, other: &TropicalMultivector<T, P, Q, R>, ) -> TropicalMultivector<T, P, Q, R>

Geometric product in tropical algebra

This is a simplified implementation for tropical geometric algebra. In tropical algebra, the geometric product combines grade-wise operations.

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

Compute tropical norm

In tropical algebra, the norm is the maximum absolute value of all components (tropical addition of all components)

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

Get scalar part (grade-0 component)

Trait Implementations

impl<T, const P: usize, const Q: usize, const R: usize> Clone for TropicalMultivector<T, P, Q, R>

where T: Clone + Float,

fn clone(&self) -> TropicalMultivector<T, P, Q, R>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T, const P: usize, const Q: usize, const R: usize> Debug for TropicalMultivector<T, P, Q, R>

where T: Debug + Float,

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

Formats the value using the given formatter.

impl<T, const P: usize, const Q: usize, const R: usize> Default for TropicalMultivector<T, P, Q, R>

where T: Float,

fn default() -> TropicalMultivector<T, P, Q, R>

Returns the “default value” for a type.

impl<T, const P: usize, const Q: usize, const R: usize> Display for TropicalMultivector<T, P, Q, R>

where T: Float + Display,

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

Formats the value using the given formatter.

impl<T, const P: usize, const Q: usize, const R: usize> PartialEq for TropicalMultivector<T, P, Q, R>

where T: PartialEq + Float,

fn eq(&self, other: &TropicalMultivector<T, P, Q, R>) -> 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<T, const P: usize, const Q: usize, const R: usize> StructuralPartialEq for TropicalMultivector<T, P, Q, R>

where T: Float,