Struct BinaryField128bPolyval

pub struct BinaryField128bPolyval(/* private fields */);

Implementations

impl BinaryField128bPolyval

pub fn new(value: u128) -> Self

Trait Implementations

impl Add<&BinaryField128bPolyval> for BinaryField128bPolyval

type Output = BinaryField128bPolyval

The resulting type after applying the + operator.

fn add(self, rhs: &Self) -> Self::Output

Performs the + operation.

impl Add<BinaryField128bPolyval> for BinaryField1b

type Output = BinaryField128bPolyval

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField128bPolyval) -> Self::Output

Performs the + operation.

impl Add<BinaryField1b> for BinaryField128bPolyval

type Output = BinaryField128bPolyval

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField1b) -> Self::Output

Performs the + operation.

impl Add for BinaryField128bPolyval

type Output = BinaryField128bPolyval

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self::Output

Performs the + operation.

impl AddAssign<&BinaryField128bPolyval> for BinaryField128bPolyval

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

Performs the += operation.

impl AddAssign<BinaryField1b> for BinaryField128bPolyval

fn add_assign(&mut self, rhs: BinaryField1b)

Performs the += operation.

impl AddAssign for BinaryField128bPolyval

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl AsSinglePacked for BinaryField128bPolyval

type Packed = PackedPrimitiveType<M128, BinaryField128bPolyval>

fn to_single_packed(self) -> Self::Packed

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

impl BinaryField for BinaryField128bPolyval

const MULTIPLICATIVE_GENERATOR: BinaryField128bPolyval = _

const N_BITS: usize = Self::DEGREE

impl Clone for BinaryField128bPolyval

fn clone(&self) -> BinaryField128bPolyval

Returns a copy of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for BinaryField128bPolyval

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

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 BinaryField128bPolyval

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

Determine if two items are equal.

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

Determine if two items are NOT equal.

impl Debug for BinaryField128bPolyval

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

Formats the value using the given formatter.

impl Default for BinaryField128bPolyval

fn default() -> BinaryField128bPolyval

Returns the “default value” for a type.

impl Display for BinaryField128bPolyval

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

Formats the value using the given formatter.

impl ExtensionField<BinaryField1b> for BinaryField128bPolyval

const LOG_DEGREE: usize = 7usize

Base-2 logarithm of the extension degree.

type Iterator = <[BinaryField1b; 128] as IntoIterator>::IntoIter

Iterator returned by iter_bases.

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

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

fn from_bases_sparse( base_elems: &[BinaryField1b], log_stride: usize, ) -> Result<Self, 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) -> Self::Iterator

Iterator over base field elements.

const DEGREE: usize = _

Extension degree.

fn from_bases(base_elems: &[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.

impl Field for BinaryField128bPolyval

const ZERO: Self = _

The zero element of the field, the additive identity.

const ONE: Self = _

The one element of the field, the multiplicative identity.

fn random(rng: impl RngCore) -> Self

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

fn double(&self) -> Self

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: AsRef<[u64]>>(&self, exp: S) -> Self

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

fn pow_vartime<S: AsRef<[u64]>>(&self, exp: S) -> Self

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

impl From<BinaryField128b> for BinaryField128bPolyval

fn from(value: BinaryField128b) -> Self

Converts to this type from the input type.

impl From<BinaryField128bPolyval> for BinaryField128b

fn from(value: BinaryField128bPolyval) -> BinaryField128b

Converts to this type from the input type.

impl From<BinaryField128bPolyval> for u128

fn from(value: BinaryField128bPolyval) -> Self

Converts to this type from the input type.

impl From<BinaryField1b> for BinaryField128bPolyval

fn from(value: BinaryField1b) -> Self

Converts to this type from the input type.

impl From<u128> for BinaryField128bPolyval

fn from(value: u128) -> Self

Converts to this type from the input type.

impl Hash for BinaryField128bPolyval

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

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 BinaryField128bPolyval

fn invert_or_zero(self) -> Self

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

impl Mul<&BinaryField128bPolyval> for BinaryField128bPolyval

type Output = BinaryField128bPolyval

The resulting type after applying the * operator.

fn mul(self, rhs: &Self) -> Self::Output

Performs the * operation.

impl Mul<BinaryField128bPolyval> for BinaryField1b

type Output = BinaryField128bPolyval

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField128bPolyval) -> Self::Output

Performs the * operation.

impl Mul<BinaryField1b> for BinaryField128bPolyval

type Output = BinaryField128bPolyval

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField1b) -> Self::Output

Performs the * operation.

impl Mul for BinaryField128bPolyval

type Output = BinaryField128bPolyval

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self::Output

Performs the * operation.

impl MulAssign<&BinaryField128bPolyval> for BinaryField128bPolyval

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

Performs the *= operation.

impl MulAssign<BinaryField1b> for BinaryField128bPolyval

fn mul_assign(&mut self, rhs: BinaryField1b)

Performs the *= operation.

impl MulAssign for BinaryField128bPolyval

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl Neg for BinaryField128bPolyval

type Output = BinaryField128bPolyval

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Ord for BinaryField128bPolyval

fn cmp(&self, other: &BinaryField128bPolyval) -> 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 BinaryField128bPolyval

fn eq(&self, other: &BinaryField128bPolyval) -> 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 BinaryField128bPolyval

fn partial_cmp(&self, other: &BinaryField128bPolyval) -> 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 BinaryField128bPolyval> for BinaryField128bPolyval

fn product<I: Iterator<Item = &'a Self>>(iter: I) -> Self

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

impl Product for BinaryField128bPolyval

fn product<I: Iterator<Item = Self>>(iter: I) -> Self

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

impl Square for BinaryField128bPolyval

fn square(self) -> Self

Returns the value multiplied by itself

impl Sub<&BinaryField128bPolyval> for BinaryField128bPolyval

type Output = BinaryField128bPolyval

The resulting type after applying the - operator.

fn sub(self, rhs: &Self) -> Self::Output

Performs the - operation.

impl Sub<BinaryField128bPolyval> for BinaryField1b

type Output = BinaryField128bPolyval

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField128bPolyval) -> Self::Output

Performs the - operation.

impl Sub<BinaryField1b> for BinaryField128bPolyval

type Output = BinaryField128bPolyval

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField1b) -> Self::Output

Performs the - operation.

impl Sub for BinaryField128bPolyval

type Output = BinaryField128bPolyval

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self::Output

Performs the - operation.

impl SubAssign<&BinaryField128bPolyval> for BinaryField128bPolyval

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

Performs the -= operation.

impl SubAssign<BinaryField1b> for BinaryField128bPolyval

fn sub_assign(&mut self, rhs: BinaryField1b)

Performs the -= operation.

impl SubAssign for BinaryField128bPolyval

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl<'a> Sum<&'a BinaryField128bPolyval> for BinaryField128bPolyval

fn sum<I: Iterator<Item = &'a Self>>(iter: I) -> Self

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

impl Sum for BinaryField128bPolyval

fn sum<I: Iterator<Item = Self>>(iter: I) -> Self

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

impl TowerField for BinaryField128bPolyval

type Canonical = BinaryField128b

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 mul_primitive(self, _iota: usize) -> Result<Self, Error>

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

const TOWER_LEVEL: usize = _

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

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

impl TransparentWrapper<u128> for BinaryField128bPolyval

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 TryInto<BinaryField1b> for BinaryField128bPolyval

type Error = ()

The type returned in the event of a conversion error.

fn try_into(self) -> Result<BinaryField1b, Self::Error>

Performs the conversion.

impl WithUnderlier for BinaryField128bPolyval

type Underlier = u128

Underlier primitive type

fn to_underlier(self) -> Self::Underlier

Convert value to underlier.

fn to_underlier_ref(&self) -> &Self::Underlier

fn to_underlier_ref_mut(&mut self) -> &mut Self::Underlier

fn to_underliers_ref(val: &[Self]) -> &[Self::Underlier]

fn to_underliers_ref_mut(val: &mut [Self]) -> &mut [Self::Underlier]

fn from_underlier(val: Self::Underlier) -> Self

fn from_underlier_ref(val: &Self::Underlier) -> &Self

fn from_underlier_ref_mut(val: &mut Self::Underlier) -> &mut Self

fn from_underliers_ref(val: &[Self::Underlier]) -> &[Self]

fn from_underliers_ref_mut(val: &mut [Self::Underlier]) -> &mut [Self]

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

impl Zeroable for BinaryField128bPolyval

fn zeroed() -> Self

Calls zeroed.

impl Copy for BinaryField128bPolyval

impl Eq for BinaryField128bPolyval

impl Pod for BinaryField128bPolyval

impl StructuralPartialEq for BinaryField128bPolyval