Struct B8

pub struct B8(/* private fields */);

Implementations

impl BinaryField8b

pub const fn new(value: u8) -> BinaryField8b

pub const fn val(self) -> u8

Trait Implementations

impl Add<&BinaryField8b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the + operator.

fn add( self, rhs: &BinaryField8b, ) -> <BinaryField8b as Add<&BinaryField8b>>::Output

Performs the + operation.

impl Add<BinaryField128b> for BinaryField8b

type Output = BinaryField128b

The resulting type after applying the + operator.

fn add( self, rhs: BinaryField128b, ) -> <BinaryField8b as Add<BinaryField128b>>::Output

Performs the + operation.

impl Add<BinaryField16b> for BinaryField8b

type Output = BinaryField16b

The resulting type after applying the + operator.

fn add( self, rhs: BinaryField16b, ) -> <BinaryField8b as Add<BinaryField16b>>::Output

Performs the + operation.

impl Add<BinaryField1b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the + operator.

fn add( self, rhs: BinaryField1b, ) -> <BinaryField8b as Add<BinaryField1b>>::Output

Performs the + operation.

impl Add<BinaryField2b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the + operator.

fn add( self, rhs: BinaryField2b, ) -> <BinaryField8b as Add<BinaryField2b>>::Output

Performs the + operation.

impl Add<BinaryField32b> for BinaryField8b

type Output = BinaryField32b

The resulting type after applying the + operator.

fn add( self, rhs: BinaryField32b, ) -> <BinaryField8b as Add<BinaryField32b>>::Output

Performs the + operation.

impl Add<BinaryField4b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the + operator.

fn add( self, rhs: BinaryField4b, ) -> <BinaryField8b as Add<BinaryField4b>>::Output

Performs the + operation.

impl Add<BinaryField64b> for BinaryField8b

type Output = BinaryField64b

The resulting type after applying the + operator.

fn add( self, rhs: BinaryField64b, ) -> <BinaryField8b as Add<BinaryField64b>>::Output

Performs the + operation.

impl Add<BinaryField8b> for BinaryField128b

type Output = BinaryField128b

The resulting type after applying the + operator.

fn add( self, rhs: BinaryField8b, ) -> <BinaryField128b as Add<BinaryField8b>>::Output

Performs the + operation.

impl Add<BinaryField8b> for BinaryField16b

type Output = BinaryField16b

The resulting type after applying the + operator.

fn add( self, rhs: BinaryField8b, ) -> <BinaryField16b as Add<BinaryField8b>>::Output

Performs the + operation.

impl Add<BinaryField8b> for BinaryField1b

type Output = BinaryField8b

The resulting type after applying the + operator.

fn add( self, rhs: BinaryField8b, ) -> <BinaryField1b as Add<BinaryField8b>>::Output

Performs the + operation.

impl Add<BinaryField8b> for BinaryField32b

type Output = BinaryField32b

The resulting type after applying the + operator.

fn add( self, rhs: BinaryField8b, ) -> <BinaryField32b as Add<BinaryField8b>>::Output

Performs the + operation.

impl Add<BinaryField8b> for BinaryField64b

type Output = BinaryField64b

The resulting type after applying the + operator.

fn add( self, rhs: BinaryField8b, ) -> <BinaryField64b as Add<BinaryField8b>>::Output

Performs the + operation.

impl Add for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField8b) -> <BinaryField8b as Add>::Output

Performs the + operation.

impl AddAssign<&BinaryField8b> for BinaryField8b

fn add_assign(&mut self, rhs: &BinaryField8b)

Performs the += operation.

impl AddAssign<BinaryField1b> for BinaryField8b

fn add_assign(&mut self, rhs: BinaryField1b)

Performs the += operation.

impl AddAssign<BinaryField2b> for BinaryField8b

fn add_assign(&mut self, rhs: BinaryField2b)

Performs the += operation.

impl AddAssign<BinaryField4b> for BinaryField8b

fn add_assign(&mut self, rhs: BinaryField4b)

Performs the += operation.

impl AddAssign<BinaryField8b> for BinaryField128b

fn add_assign(&mut self, rhs: BinaryField8b)

Performs the += operation.

impl AddAssign<BinaryField8b> for BinaryField16b

fn add_assign(&mut self, rhs: BinaryField8b)

Performs the += operation.

impl AddAssign<BinaryField8b> for BinaryField32b

fn add_assign(&mut self, rhs: BinaryField8b)

Performs the += operation.

impl AddAssign<BinaryField8b> for BinaryField64b

fn add_assign(&mut self, rhs: BinaryField8b)

Performs the += operation.

impl AddAssign for BinaryField8b

fn add_assign(&mut self, rhs: BinaryField8b)

Performs the += operation.

impl AsSinglePacked for BinaryField8b

type Packed = PackedPrimitiveType<u8, BinaryField8b>

fn to_single_packed(self) -> Self::Packed

fn from_single_packed(value: Self::Packed) -> Self

impl BinaryField for BinaryField8b

const MULTIPLICATIVE_GENERATOR: BinaryField8b

const N_BITS: usize = Self::DEGREE

impl Clone for BinaryField8b

fn clone(&self) -> BinaryField8b

Returns a copy of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for BinaryField8b

fn conditional_select( a: &BinaryField8b, b: &BinaryField8b, choice: Choice, ) -> BinaryField8b

Select a or b according to choice.

fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice.

fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves.

impl ConstantTimeEq for BinaryField8b

fn ct_eq(&self, other: &BinaryField8b) -> Choice

Determine if two items are equal.

fn ct_ne(&self, other: &Self) -> Choice

Determine if two items are NOT equal.

impl Debug for BinaryField8b

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

Formats the value using the given formatter.

impl Default for BinaryField8b

fn default() -> BinaryField8b

Returns the “default value” for a type.

impl DeserializeBytes for BinaryField8b

fn deserialize( read_buf: impl Buf, mode: SerializationMode, ) -> Result<BinaryField8b, SerializationError>

impl Display for BinaryField8b

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

Formats the value using the given formatter.

impl ExtensionField<BinaryField1b> for BinaryField8b

const LOG_DEGREE: usize = 3usize

Base-2 logarithm of the extension degree.

fn basis_checked(i: usize) -> Result<BinaryField8b, Error>

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases_sparse( base_elems: impl IntoIterator<Item = BinaryField1b>, log_stride: usize, ) -> Result<BinaryField8b, Error>

A specialized version of from_bases which assumes that only base field elements with indices dividing 2^log_stride can be nonzero.

fn iter_bases(&self) -> impl Iterator<Item = BinaryField1b>

Iterator over base field elements.

fn into_iter_bases(self) -> impl Iterator<Item = BinaryField1b>

Convert into an iterator over base field elements.

unsafe fn get_base_unchecked(&self, i: usize) -> BinaryField1b

Returns the i-th base field element without bounds checking.

const DEGREE: usize = _

Extension degree.

fn basis(i: usize) -> Self

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases(base_elems: impl IntoIterator<Item = F>) -> Result<Self, Error>

Create an extension field element from a slice of base field elements in order consistent with basis(i) return values. Potentially faster than taking an inner product with a vector of basis elements.

fn get_base(&self, i: usize) -> F

Returns the i-th base field element.

impl ExtensionField<BinaryField2b> for BinaryField8b

const LOG_DEGREE: usize = 2usize

Base-2 logarithm of the extension degree.

fn basis_checked(i: usize) -> Result<BinaryField8b, Error>

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases_sparse( base_elems: impl IntoIterator<Item = BinaryField2b>, log_stride: usize, ) -> Result<BinaryField8b, Error>

A specialized version of from_bases which assumes that only base field elements with indices dividing 2^log_stride can be nonzero.

fn iter_bases(&self) -> impl Iterator<Item = BinaryField2b>

Iterator over base field elements.

fn into_iter_bases(self) -> impl Iterator<Item = BinaryField2b>

Convert into an iterator over base field elements.

unsafe fn get_base_unchecked(&self, i: usize) -> BinaryField2b

Returns the i-th base field element without bounds checking.

const DEGREE: usize = _

Extension degree.

fn basis(i: usize) -> Self

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases(base_elems: impl IntoIterator<Item = F>) -> Result<Self, Error>

Create an extension field element from a slice of base field elements in order consistent with basis(i) return values. Potentially faster than taking an inner product with a vector of basis elements.

fn get_base(&self, i: usize) -> F

Returns the i-th base field element.

impl ExtensionField<BinaryField4b> for BinaryField8b

const LOG_DEGREE: usize = 1usize

Base-2 logarithm of the extension degree.

fn basis_checked(i: usize) -> Result<BinaryField8b, Error>

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases_sparse( base_elems: impl IntoIterator<Item = BinaryField4b>, log_stride: usize, ) -> Result<BinaryField8b, Error>

A specialized version of from_bases which assumes that only base field elements with indices dividing 2^log_stride can be nonzero.

fn iter_bases(&self) -> impl Iterator<Item = BinaryField4b>

Iterator over base field elements.

fn into_iter_bases(self) -> impl Iterator<Item = BinaryField4b>

Convert into an iterator over base field elements.

unsafe fn get_base_unchecked(&self, i: usize) -> BinaryField4b

Returns the i-th base field element without bounds checking.

const DEGREE: usize = _

Extension degree.

fn basis(i: usize) -> Self

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases(base_elems: impl IntoIterator<Item = F>) -> Result<Self, Error>

Create an extension field element from a slice of base field elements in order consistent with basis(i) return values. Potentially faster than taking an inner product with a vector of basis elements.

fn get_base(&self, i: usize) -> F

Returns the i-th base field element.

impl ExtensionField<BinaryField8b> for BinaryField128b

const LOG_DEGREE: usize = 4usize

Base-2 logarithm of the extension degree.

fn basis_checked(i: usize) -> Result<BinaryField128b, Error>

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases_sparse( base_elems: impl IntoIterator<Item = BinaryField8b>, log_stride: usize, ) -> Result<BinaryField128b, Error>

A specialized version of from_bases which assumes that only base field elements with indices dividing 2^log_stride can be nonzero.

fn iter_bases(&self) -> impl Iterator<Item = BinaryField8b>

Iterator over base field elements.

fn into_iter_bases(self) -> impl Iterator<Item = BinaryField8b>

Convert into an iterator over base field elements.

unsafe fn get_base_unchecked(&self, i: usize) -> BinaryField8b

Returns the i-th base field element without bounds checking.

const DEGREE: usize = _

Extension degree.

fn basis(i: usize) -> Self

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases(base_elems: impl IntoIterator<Item = F>) -> Result<Self, Error>

Create an extension field element from a slice of base field elements in order consistent with basis(i) return values. Potentially faster than taking an inner product with a vector of basis elements.

fn get_base(&self, i: usize) -> F

Returns the i-th base field element.

impl ExtensionField<BinaryField8b> for BinaryField16b

const LOG_DEGREE: usize = 1usize

Base-2 logarithm of the extension degree.

fn basis_checked(i: usize) -> Result<BinaryField16b, Error>

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases_sparse( base_elems: impl IntoIterator<Item = BinaryField8b>, log_stride: usize, ) -> Result<BinaryField16b, Error>

A specialized version of from_bases which assumes that only base field elements with indices dividing 2^log_stride can be nonzero.

fn iter_bases(&self) -> impl Iterator<Item = BinaryField8b>

Iterator over base field elements.

fn into_iter_bases(self) -> impl Iterator<Item = BinaryField8b>

Convert into an iterator over base field elements.

unsafe fn get_base_unchecked(&self, i: usize) -> BinaryField8b

Returns the i-th base field element without bounds checking.

const DEGREE: usize = _

Extension degree.

fn basis(i: usize) -> Self

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases(base_elems: impl IntoIterator<Item = F>) -> Result<Self, Error>

Create an extension field element from a slice of base field elements in order consistent with basis(i) return values. Potentially faster than taking an inner product with a vector of basis elements.

fn get_base(&self, i: usize) -> F

Returns the i-th base field element.

impl ExtensionField<BinaryField8b> for BinaryField32b

const LOG_DEGREE: usize = 2usize

Base-2 logarithm of the extension degree.

fn basis_checked(i: usize) -> Result<BinaryField32b, Error>

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases_sparse( base_elems: impl IntoIterator<Item = BinaryField8b>, log_stride: usize, ) -> Result<BinaryField32b, Error>

A specialized version of from_bases which assumes that only base field elements with indices dividing 2^log_stride can be nonzero.

fn iter_bases(&self) -> impl Iterator<Item = BinaryField8b>

Iterator over base field elements.

fn into_iter_bases(self) -> impl Iterator<Item = BinaryField8b>

Convert into an iterator over base field elements.

unsafe fn get_base_unchecked(&self, i: usize) -> BinaryField8b

Returns the i-th base field element without bounds checking.

const DEGREE: usize = _

Extension degree.

fn basis(i: usize) -> Self

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases(base_elems: impl IntoIterator<Item = F>) -> Result<Self, Error>

Create an extension field element from a slice of base field elements in order consistent with basis(i) return values. Potentially faster than taking an inner product with a vector of basis elements.

fn get_base(&self, i: usize) -> F

Returns the i-th base field element.

impl ExtensionField<BinaryField8b> for BinaryField64b

const LOG_DEGREE: usize = 3usize

Base-2 logarithm of the extension degree.

fn basis_checked(i: usize) -> Result<BinaryField64b, Error>

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases_sparse( base_elems: impl IntoIterator<Item = BinaryField8b>, log_stride: usize, ) -> Result<BinaryField64b, Error>

A specialized version of from_bases which assumes that only base field elements with indices dividing 2^log_stride can be nonzero.

fn iter_bases(&self) -> impl Iterator<Item = BinaryField8b>

Iterator over base field elements.

fn into_iter_bases(self) -> impl Iterator<Item = BinaryField8b>

Convert into an iterator over base field elements.

unsafe fn get_base_unchecked(&self, i: usize) -> BinaryField8b

Returns the i-th base field element without bounds checking.

const DEGREE: usize = _

Extension degree.

fn basis(i: usize) -> Self

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases(base_elems: impl IntoIterator<Item = F>) -> Result<Self, Error>

Create an extension field element from a slice of base field elements in order consistent with basis(i) return values. Potentially faster than taking an inner product with a vector of basis elements.

fn get_base(&self, i: usize) -> F

Returns the i-th base field element.

impl Field for BinaryField8b

const ZERO: BinaryField8b

The zero element of the field, the additive identity.

const ONE: BinaryField8b

The one element of the field, the multiplicative identity.

const CHARACTERISTIC: usize = 2usize

The characteristic of the field.

fn random(rng: impl RngCore) -> BinaryField8b

Returns an element chosen uniformly at random using a user-provided RNG.

fn double(&self) -> BinaryField8b

Doubles this element.

fn is_zero(&self) -> bool

Returns true iff this element is zero.

fn invert(&self) -> Option<Self>

Computes the multiplicative inverse of this element, failing if the element is zero.

fn pow<S>(&self, exp: S) -> Self

where S: AsRef<[u64]>,

Exponentiates self by exp, where exp is a little-endian order integer exponent.

fn pow_vartime<S>(&self, exp: S) -> Self

where S: AsRef<[u64]>,

Exponentiates self by exp, where exp is a little-endian order integer exponent.

impl From<(BinaryField4b, BinaryField4b)> for BinaryField8b

fn from(_: (BinaryField4b, BinaryField4b)) -> BinaryField8b

Converts to this type from the input type.

impl From<AESTowerField8b> for BinaryField8b

fn from(value: AESTowerField8b) -> BinaryField8b

Converts to this type from the input type.

impl From<BinaryField1b> for BinaryField8b

fn from(elem: BinaryField1b) -> BinaryField8b

Converts to this type from the input type.

impl From<BinaryField2b> for BinaryField8b

fn from(elem: BinaryField2b) -> BinaryField8b

Converts to this type from the input type.

impl From<BinaryField4b> for BinaryField8b

fn from(elem: BinaryField4b) -> BinaryField8b

Converts to this type from the input type.

impl From<BinaryField8b> for BinaryField128b

fn from(elem: BinaryField8b) -> BinaryField128b

Converts to this type from the input type.

impl From<BinaryField8b> for BinaryField16b

fn from(elem: BinaryField8b) -> BinaryField16b

Converts to this type from the input type.

impl From<BinaryField8b> for BinaryField32b

fn from(elem: BinaryField8b) -> BinaryField32b

Converts to this type from the input type.

impl From<BinaryField8b> for BinaryField64b

fn from(elem: BinaryField8b) -> BinaryField64b

Converts to this type from the input type.

impl From<u8> for BinaryField8b

fn from(val: u8) -> BinaryField8b

Converts to this type from the input type.

impl Hash for BinaryField8b

fn hash<__H>(&self, state: &mut __H)

where __H: Hasher,

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl InvertOrZero for BinaryField8b

fn invert_or_zero(self) -> BinaryField8b

Returns the inverted value or zero in case when self is zero

impl Mul<&BinaryField8b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the * operator.

fn mul( self, rhs: &BinaryField8b, ) -> <BinaryField8b as Mul<&BinaryField8b>>::Output

Performs the * operation.

impl Mul<BinaryField128b> for BinaryField8b

type Output = BinaryField128b

The resulting type after applying the * operator.

fn mul( self, rhs: BinaryField128b, ) -> <BinaryField8b as Mul<BinaryField128b>>::Output

Performs the * operation.

impl Mul<BinaryField16b> for BinaryField8b

type Output = BinaryField16b

The resulting type after applying the * operator.

fn mul( self, rhs: BinaryField16b, ) -> <BinaryField8b as Mul<BinaryField16b>>::Output

Performs the * operation.

impl Mul<BinaryField1b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the * operator.

fn mul( self, rhs: BinaryField1b, ) -> <BinaryField8b as Mul<BinaryField1b>>::Output

Performs the * operation.

impl Mul<BinaryField2b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the * operator.

fn mul( self, rhs: BinaryField2b, ) -> <BinaryField8b as Mul<BinaryField2b>>::Output

Performs the * operation.

impl Mul<BinaryField32b> for BinaryField8b

type Output = BinaryField32b

The resulting type after applying the * operator.

fn mul( self, rhs: BinaryField32b, ) -> <BinaryField8b as Mul<BinaryField32b>>::Output

Performs the * operation.

impl Mul<BinaryField4b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the * operator.

fn mul( self, rhs: BinaryField4b, ) -> <BinaryField8b as Mul<BinaryField4b>>::Output

Performs the * operation.

impl Mul<BinaryField64b> for BinaryField8b

type Output = BinaryField64b

The resulting type after applying the * operator.

fn mul( self, rhs: BinaryField64b, ) -> <BinaryField8b as Mul<BinaryField64b>>::Output

Performs the * operation.

impl Mul<BinaryField8b> for BinaryField128b

type Output = BinaryField128b

The resulting type after applying the * operator.

fn mul( self, rhs: BinaryField8b, ) -> <BinaryField128b as Mul<BinaryField8b>>::Output

Performs the * operation.

impl Mul<BinaryField8b> for BinaryField16b

type Output = BinaryField16b

The resulting type after applying the * operator.

fn mul( self, rhs: BinaryField8b, ) -> <BinaryField16b as Mul<BinaryField8b>>::Output

Performs the * operation.

impl Mul<BinaryField8b> for BinaryField1b

type Output = BinaryField8b

The resulting type after applying the * operator.

fn mul( self, rhs: BinaryField8b, ) -> <BinaryField1b as Mul<BinaryField8b>>::Output

Performs the * operation.

impl Mul<BinaryField8b> for BinaryField32b

type Output = BinaryField32b

The resulting type after applying the * operator.

fn mul( self, rhs: BinaryField8b, ) -> <BinaryField32b as Mul<BinaryField8b>>::Output

Performs the * operation.

impl Mul<BinaryField8b> for BinaryField64b

type Output = BinaryField64b

The resulting type after applying the * operator.

fn mul( self, rhs: BinaryField8b, ) -> <BinaryField64b as Mul<BinaryField8b>>::Output

Performs the * operation.

impl Mul for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField8b) -> <BinaryField8b as Mul>::Output

Performs the * operation.

impl MulAssign<&BinaryField8b> for BinaryField8b

fn mul_assign(&mut self, rhs: &BinaryField8b)

Performs the *= operation.

impl MulAssign<BinaryField1b> for BinaryField8b

fn mul_assign(&mut self, rhs: BinaryField1b)

Performs the *= operation.

impl MulAssign<BinaryField2b> for BinaryField8b

fn mul_assign(&mut self, rhs: BinaryField2b)

Performs the *= operation.

impl MulAssign<BinaryField4b> for BinaryField8b

fn mul_assign(&mut self, rhs: BinaryField4b)

Performs the *= operation.

impl MulAssign<BinaryField8b> for BinaryField128b

fn mul_assign(&mut self, rhs: BinaryField8b)

Performs the *= operation.

impl MulAssign<BinaryField8b> for BinaryField16b

fn mul_assign(&mut self, rhs: BinaryField8b)

Performs the *= operation.

impl MulAssign<BinaryField8b> for BinaryField32b

fn mul_assign(&mut self, rhs: BinaryField8b)

Performs the *= operation.

impl MulAssign<BinaryField8b> for BinaryField64b

fn mul_assign(&mut self, rhs: BinaryField8b)

Performs the *= operation.

impl MulAssign for BinaryField8b

fn mul_assign(&mut self, rhs: BinaryField8b)

Performs the *= operation.

impl Neg for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the - operator.

fn neg(self) -> <BinaryField8b as Neg>::Output

Performs the unary - operation.

impl Ord for BinaryField8b

fn cmp(&self, other: &BinaryField8b) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl PartialEq for BinaryField8b

fn eq(&self, other: &BinaryField8b) -> 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 PartialOrd for BinaryField8b

fn partial_cmp(&self, other: &BinaryField8b) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

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

Tests less than (for self and other) and is used by the < operator.

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

Tests less than or equal to (for self and other) and is used by the <= operator.

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

Tests greater than (for self and other) and is used by the > operator.

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

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl<'a> Product<&'a BinaryField8b> for BinaryField8b

fn product<I>(iter: I) -> BinaryField8b

where I: Iterator<Item = &'a BinaryField8b>,

Takes an iterator and generates Self from the elements by multiplying the items.

impl Product for BinaryField8b

fn product<I>(iter: I) -> BinaryField8b

where I: Iterator<Item = BinaryField8b>,

Takes an iterator and generates Self from the elements by multiplying the items.

impl SerializeBytes for BinaryField8b

fn serialize( &self, write_buf: impl BufMut, mode: SerializationMode, ) -> Result<(), SerializationError>

impl Square for BinaryField8b

fn square(self) -> BinaryField8b

Returns the value multiplied by itself

impl Sub<&BinaryField8b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the - operator.

fn sub( self, rhs: &BinaryField8b, ) -> <BinaryField8b as Sub<&BinaryField8b>>::Output

Performs the - operation.

impl Sub<BinaryField128b> for BinaryField8b

type Output = BinaryField128b

The resulting type after applying the - operator.

fn sub( self, rhs: BinaryField128b, ) -> <BinaryField8b as Sub<BinaryField128b>>::Output

Performs the - operation.

impl Sub<BinaryField16b> for BinaryField8b

type Output = BinaryField16b

The resulting type after applying the - operator.

fn sub( self, rhs: BinaryField16b, ) -> <BinaryField8b as Sub<BinaryField16b>>::Output

Performs the - operation.

impl Sub<BinaryField1b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the - operator.

fn sub( self, rhs: BinaryField1b, ) -> <BinaryField8b as Sub<BinaryField1b>>::Output

Performs the - operation.

impl Sub<BinaryField2b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the - operator.

fn sub( self, rhs: BinaryField2b, ) -> <BinaryField8b as Sub<BinaryField2b>>::Output

Performs the - operation.

impl Sub<BinaryField32b> for BinaryField8b

type Output = BinaryField32b

The resulting type after applying the - operator.

fn sub( self, rhs: BinaryField32b, ) -> <BinaryField8b as Sub<BinaryField32b>>::Output

Performs the - operation.

impl Sub<BinaryField4b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the - operator.

fn sub( self, rhs: BinaryField4b, ) -> <BinaryField8b as Sub<BinaryField4b>>::Output

Performs the - operation.

impl Sub<BinaryField64b> for BinaryField8b

type Output = BinaryField64b

The resulting type after applying the - operator.

fn sub( self, rhs: BinaryField64b, ) -> <BinaryField8b as Sub<BinaryField64b>>::Output

Performs the - operation.

impl Sub<BinaryField8b> for BinaryField128b

type Output = BinaryField128b

The resulting type after applying the - operator.

fn sub( self, rhs: BinaryField8b, ) -> <BinaryField128b as Sub<BinaryField8b>>::Output

Performs the - operation.

impl Sub<BinaryField8b> for BinaryField16b

type Output = BinaryField16b

The resulting type after applying the - operator.

fn sub( self, rhs: BinaryField8b, ) -> <BinaryField16b as Sub<BinaryField8b>>::Output

Performs the - operation.

impl Sub<BinaryField8b> for BinaryField1b

type Output = BinaryField8b

The resulting type after applying the - operator.

fn sub( self, rhs: BinaryField8b, ) -> <BinaryField1b as Sub<BinaryField8b>>::Output

Performs the - operation.

impl Sub<BinaryField8b> for BinaryField32b

type Output = BinaryField32b

The resulting type after applying the - operator.

fn sub( self, rhs: BinaryField8b, ) -> <BinaryField32b as Sub<BinaryField8b>>::Output

Performs the - operation.

impl Sub<BinaryField8b> for BinaryField64b

type Output = BinaryField64b

The resulting type after applying the - operator.

fn sub( self, rhs: BinaryField8b, ) -> <BinaryField64b as Sub<BinaryField8b>>::Output

Performs the - operation.

impl Sub for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField8b) -> <BinaryField8b as Sub>::Output

Performs the - operation.

impl SubAssign<&BinaryField8b> for BinaryField8b

fn sub_assign(&mut self, rhs: &BinaryField8b)

Performs the -= operation.

impl SubAssign<BinaryField1b> for BinaryField8b

fn sub_assign(&mut self, rhs: BinaryField1b)

Performs the -= operation.

impl SubAssign<BinaryField2b> for BinaryField8b

fn sub_assign(&mut self, rhs: BinaryField2b)

Performs the -= operation.

impl SubAssign<BinaryField4b> for BinaryField8b

fn sub_assign(&mut self, rhs: BinaryField4b)

Performs the -= operation.

impl SubAssign<BinaryField8b> for BinaryField128b

fn sub_assign(&mut self, rhs: BinaryField8b)

Performs the -= operation.

impl SubAssign<BinaryField8b> for BinaryField16b

fn sub_assign(&mut self, rhs: BinaryField8b)

Performs the -= operation.

impl SubAssign<BinaryField8b> for BinaryField32b

fn sub_assign(&mut self, rhs: BinaryField8b)

Performs the -= operation.

impl SubAssign<BinaryField8b> for BinaryField64b

fn sub_assign(&mut self, rhs: BinaryField8b)

Performs the -= operation.

impl SubAssign for BinaryField8b

fn sub_assign(&mut self, rhs: BinaryField8b)

Performs the -= operation.

impl<'a> Sum<&'a BinaryField8b> for BinaryField8b

fn sum<I>(iter: I) -> BinaryField8b

where I: Iterator<Item = &'a BinaryField8b>,

Takes an iterator and generates Self from the elements by “summing up” the items.

impl Sum for BinaryField8b

fn sum<I>(iter: I) -> BinaryField8b

where I: Iterator<Item = BinaryField8b>,

Takes an iterator and generates Self from the elements by “summing up” the items.

impl TowerField for BinaryField8b

const TOWER_LEVEL: usize = 3usize

The level $\iota$ in the tower, where this field is isomorphic to $T_{\iota}$.

type Canonical = BinaryField8b

The canonical field isomorphic to this tower field. Currently for every tower field, the canonical field is Fan-Paar’s binary field of the same degree.

fn min_tower_level(self) -> usize

Returns the smallest valid TOWER_LEVEL in the tower that can fit the same value.

fn mul_primitive(self, iota: usize) -> Result<BinaryField8b, Error>

Multiplies a field element by the canonical primitive element of the extension $T_{\iota + 1} / T_{iota}$.

fn basis(iota: usize, i: usize) -> Result<Self, Error>

Returns the i’th basis element of this field as an extension over the tower subfield with level $\iota$.

impl TransparentWrapper<u8> for BinaryField8b

fn wrap(s: Inner) -> Self

where Self: Sized,

Convert the inner type into the wrapper type.

fn wrap_ref(s: &Inner) -> &Self

Convert a reference to the inner type into a reference to the wrapper type.

fn wrap_mut(s: &mut Inner) -> &mut Self

Convert a mutable reference to the inner type into a mutable reference to the wrapper type.

fn wrap_slice(s: &[Inner]) -> &[Self]

where Self: Sized,

Convert a slice to the inner type into a slice to the wrapper type.

fn wrap_slice_mut(s: &mut [Inner]) -> &mut [Self]

where Self: Sized,

Convert a mutable slice to the inner type into a mutable slice to the wrapper type.

fn peel(s: Self) -> Inner

where Self: Sized,

Convert the wrapper type into the inner type.

fn peel_ref(s: &Self) -> &Inner

Convert a reference to the wrapper type into a reference to the inner type.

fn peel_mut(s: &mut Self) -> &mut Inner

Convert a mutable reference to the wrapper type into a mutable reference to the inner type.

fn peel_slice(s: &[Self]) -> &[Inner]

where Self: Sized,

Convert a slice to the wrapped type into a slice to the inner type.

fn peel_slice_mut(s: &mut [Self]) -> &mut [Inner]

where Self: Sized,

Convert a mutable slice to the wrapped type into a mutable slice to the inner type.

impl TryFrom<BinaryField128b> for BinaryField8b

type Error = ()

The type returned in the event of a conversion error.

fn try_from( elem: BinaryField128b, ) -> Result<BinaryField8b, <BinaryField8b as TryFrom<BinaryField128b>>::Error>

Performs the conversion.

impl TryFrom<BinaryField16b> for BinaryField8b

type Error = ()

The type returned in the event of a conversion error.

fn try_from( elem: BinaryField16b, ) -> Result<BinaryField8b, <BinaryField8b as TryFrom<BinaryField16b>>::Error>

Performs the conversion.

impl TryFrom<BinaryField32b> for BinaryField8b

type Error = ()

The type returned in the event of a conversion error.

fn try_from( elem: BinaryField32b, ) -> Result<BinaryField8b, <BinaryField8b as TryFrom<BinaryField32b>>::Error>

Performs the conversion.

impl TryFrom<BinaryField64b> for BinaryField8b

type Error = ()

The type returned in the event of a conversion error.

fn try_from( elem: BinaryField64b, ) -> Result<BinaryField8b, <BinaryField8b as TryFrom<BinaryField64b>>::Error>

Performs the conversion.

impl TryFrom<BinaryField8b> for BinaryField1b

type Error = ()

The type returned in the event of a conversion error.

fn try_from( elem: BinaryField8b, ) -> Result<BinaryField1b, <BinaryField1b as TryFrom<BinaryField8b>>::Error>

Performs the conversion.

impl WithUnderlier for BinaryField8b

type Underlier = u8

Underlier primitive type

fn to_underlier(self) -> <BinaryField8b as WithUnderlier>::Underlier

Convert value to underlier.

fn to_underlier_ref(&self) -> &<BinaryField8b as WithUnderlier>::Underlier

fn to_underlier_ref_mut( &mut self, ) -> &mut <BinaryField8b as WithUnderlier>::Underlier

fn to_underliers_ref( val: &[BinaryField8b], ) -> &[<BinaryField8b as WithUnderlier>::Underlier]

fn to_underliers_ref_mut( val: &mut [BinaryField8b], ) -> &mut [<BinaryField8b as WithUnderlier>::Underlier]

fn from_underlier( val: <BinaryField8b as WithUnderlier>::Underlier, ) -> BinaryField8b

fn from_underlier_ref( val: &<BinaryField8b as WithUnderlier>::Underlier, ) -> &BinaryField8b

fn from_underlier_ref_mut( val: &mut <BinaryField8b as WithUnderlier>::Underlier, ) -> &mut BinaryField8b

fn from_underliers_ref( val: &[<BinaryField8b as WithUnderlier>::Underlier], ) -> &[BinaryField8b]

fn from_underliers_ref_mut( val: &mut [<BinaryField8b as WithUnderlier>::Underlier], ) -> &mut [BinaryField8b]

fn to_underliers_arr<const N: usize>(val: [Self; N]) -> [Self::Underlier; N]

fn to_underliers_arr_ref<const N: usize>( val: &[Self; N], ) -> &[Self::Underlier; N]

fn to_underliers_arr_ref_mut<const N: usize>( val: &mut [Self; N], ) -> &mut [Self::Underlier; N]

fn from_underliers_arr<const N: usize>(val: [Self::Underlier; N]) -> [Self; N]

fn from_underliers_arr_ref<const N: usize>( val: &[Self::Underlier; N], ) -> &[Self; N]

fn from_underliers_arr_ref_mut<const N: usize>( val: &mut [Self::Underlier; N], ) -> &mut [Self; N]

fn mutate_underlier( self, f: impl FnOnce(Self::Underlier) -> Self::Underlier, ) -> Self

impl Zeroable for BinaryField8b

fn zeroed() -> Self

Calls zeroed.

impl Copy for BinaryField8b

impl Eq for BinaryField8b

impl Pod for BinaryField8b

impl StructuralPartialEq for BinaryField8b