Struct Radix2Bowers

pub struct Radix2Bowers;

The Bowers G FFT algorithm. See: “Improved Twiddle Access for Fast Fourier Transforms”

Trait Implementations

impl Clone for Radix2Bowers

fn clone(&self) -> Radix2Bowers

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Default for Radix2Bowers

fn default() -> Radix2Bowers

Returns the “default value” for a type.

impl<F: TwoAdicField> TwoAdicSubgroupDft<F> for Radix2Bowers

fn idft_batch(&self, mat: RowMajorMatrix<F>) -> RowMajorMatrix<F>

Compute the inverse DFT of each column in mat.

type Evaluations = DenseMatrix<F>

fn dft_batch(&self, mat: RowMajorMatrix<F>) -> RowMajorMatrix<F>

Compute the discrete Fourier transform (DFT) of each column in mat. This is the only method an implementer needs to define, all other methods can be derived from this one.

fn lde_batch( &self, mat: RowMajorMatrix<F>, added_bits: usize, ) -> RowMajorMatrix<F>

Compute the low-degree extension of each column in mat onto a larger subgroup.

fn coset_lde_batch( &self, mat: RowMajorMatrix<F>, added_bits: usize, shift: F, ) -> RowMajorMatrix<F>

Compute the low-degree extension of each column in mat onto a coset of a larger subgroup.

fn dft(&self, vec: Vec<F>) -> Vec<F>

Compute the discrete Fourier transform (DFT) vec.

fn coset_dft(&self, vec: Vec<F>, shift: F) -> Vec<F>

Compute the “coset DFT” of vec. This can be viewed as interpolation onto a coset of a multiplicative subgroup, rather than the subgroup itself.

fn coset_dft_batch(&self, mat: RowMajorMatrix<F>, shift: F) -> Self::Evaluations

Compute the “coset DFT” of each column in mat. This can be viewed as interpolation onto a coset of a multiplicative subgroup, rather than the subgroup itself.

fn idft(&self, vec: Vec<F>) -> Vec<F>

Compute the inverse DFT of vec.

fn coset_idft(&self, vec: Vec<F>, shift: F) -> Vec<F>

Compute the “coset iDFT” of vec. This can be viewed as an inverse operation of “coset DFT”, that interpolates over a coset of a multiplicative subgroup, rather than subgroup itself.

fn coset_idft_batch( &self, mat: RowMajorMatrix<F>, shift: F, ) -> RowMajorMatrix<F>

Compute the “coset iDFT” of each column in mat. This can be viewed as an inverse operation of “coset DFT”, that interpolates over a coset of a multiplicative subgroup, rather than the subgroup itself.

fn lde(&self, vec: Vec<F>, added_bits: usize) -> Vec<F>

Compute the low-degree extension of vec onto a larger subgroup.

fn coset_lde(&self, vec: Vec<F>, added_bits: usize, shift: F) -> Vec<F>

Compute the low-degree extension of each column in mat onto a coset of a larger subgroup.