Struct HomModule 

pub struct HomModule<M: Module> {
    algebra: Arc<Field>,
    source: Arc<FreeModule<M::Algebra>>,
    target: Arc<M>,
    pub block_structures: OnceBiVec<BlockStructure>,
}

Given a module N and a free module M, this is the module Hom(M, N) as a module over the ground field.

This requires N to be bounded, and is graded opposite to the usual grading so that Hom(M, N) is bounded below.

Fields

algebra: Arc<Field>

source: Arc<FreeModule<M::Algebra>>

target: Arc<M>

block_structures: OnceBiVec<BlockStructure>

Implementations

impl<M: Module> HomModule<M>

pub fn new(source: Arc<FreeModule<M::Algebra>>, target: Arc<M>) -> Self

pub fn source(&self) -> Arc<FreeModule<M::Algebra>>

pub fn target(&self) -> Arc<M>

Trait Implementations

impl<M: Module> Display for HomModule<M>

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

Formats the value using the given formatter.

impl<M: Module> Module for HomModule<M>

type Algebra = Field

fn algebra(&self) -> Arc<Self::Algebra>

The algebra the module is over.

fn min_degree(&self) -> i32

The minimum degree of the module, which is required to be bounded below

fn max_computed_degree(&self) -> i32

The maximum t for which the module is fully defined at t. See Module documentation for more details.

fn compute_basis(&self, degree: i32)

Compute internal data of the module so that we can query information up to degree degree. This should be run by the user whenever they want to query such information.

fn dimension(&self, degree: i32) -> usize

The dimension of a module at the given degree

fn act_on_basis( &self, result: FpSliceMut<'_>, coeff: u32, op_degree: i32, op_index: usize, _mod_degree: i32, mod_index: usize, )

fn basis_element_to_string(&self, degree: i32, idx: usize) -> String

The name of a basis element. This is useful for debugging and printing results.

fn is_unit(&self) -> bool

Whether this is the unit module.

fn prime(&self) -> ValidPrime

The prime the module is over, which should be equal to the prime of the algebra.

fn max_degree(&self) -> Option<i32>

max_degree is the a degree such that if t > max_degree, then self.dimension(t) = 0.

fn max_generator_degree(&self) -> Option<i32>

Maximum degree of a generator under the Steenrod action. Every element in higher degree must be obtainable from applying a Steenrod action to a lower degree element.

fn total_dimension(&self) -> usize

fn act( &self, result: FpSliceMut<'_>, coeff: u32, op_degree: i32, op_index: usize, input_degree: i32, input: FpSlice<'_>, )

The length of input need not be equal to the dimension of the module in said degree. Missing entries are interpreted to be 0, while extra entries must be zero.

fn act_by_element( &self, result: FpSliceMut<'_>, coeff: u32, op_degree: i32, op: FpSlice<'_>, input_degree: i32, input: FpSlice<'_>, )

fn act_by_element_on_basis( &self, result: FpSliceMut<'_>, coeff: u32, op_degree: i32, op: FpSlice<'_>, input_degree: i32, input_index: usize, )

fn element_to_string(&self, degree: i32, element: FpSlice<'_>) -> String

Gives the name of an element. The default implementation is derived from Module::basis_element_to_string in the obvious way.