Struct BinaryField4b

pub struct BinaryField4b(/* private fields */);

Implementations

impl BinaryField4b

pub const fn new(value: U4) -> Self

pub fn val(self) -> U4

impl BinaryField4b

pub unsafe fn new_unchecked(val: u8) -> Self

Creates value without checking that it is 0 or 1

Safety

Value should not exceed 15

Trait Implementations

impl Add<&BinaryField4b> for BinaryField4b

type Output = BinaryField4b

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add<BinaryField128b> for BinaryField4b

type Output = BinaryField128b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField128b) -> Self::Output

Performs the + operation.

impl Add<BinaryField16b> for BinaryField4b

type Output = BinaryField16b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField16b) -> Self::Output

Performs the + operation.

impl Add<BinaryField1b> for BinaryField4b

type Output = BinaryField4b

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add<BinaryField2b> for BinaryField4b

type Output = BinaryField4b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField2b) -> Self::Output

Performs the + operation.

impl Add<BinaryField32b> for BinaryField4b

type Output = BinaryField32b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField32b) -> Self::Output

Performs the + operation.

impl Add<BinaryField4b> for BinaryField128b

type Output = BinaryField128b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField4b) -> Self::Output

Performs the + operation.

impl Add<BinaryField4b> for BinaryField16b

type Output = BinaryField16b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField4b) -> Self::Output

Performs the + operation.

impl Add<BinaryField4b> for BinaryField1b

type Output = BinaryField4b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField4b) -> Self::Output

Performs the + operation.

impl Add<BinaryField4b> for BinaryField2b

type Output = BinaryField4b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField4b) -> Self::Output

Performs the + operation.

impl Add<BinaryField4b> for BinaryField32b

type Output = BinaryField32b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField4b) -> Self::Output

Performs the + operation.

impl Add<BinaryField4b> for BinaryField64b

type Output = BinaryField64b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField4b) -> Self::Output

Performs the + operation.

impl Add<BinaryField4b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField4b) -> Self::Output

Performs the + operation.

impl Add<BinaryField64b> for BinaryField4b

type Output = BinaryField64b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField64b) -> Self::Output

Performs the + operation.

impl Add<BinaryField8b> for BinaryField4b

type Output = BinaryField8b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField8b) -> Self::Output

Performs the + operation.

impl Add for BinaryField4b

type Output = BinaryField4b

The resulting type after applying the + operator.

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

Performs the + operation.

impl AddAssign<&BinaryField4b> for BinaryField4b

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

Performs the += operation.

impl AddAssign<BinaryField1b> for BinaryField4b

fn add_assign(&mut self, rhs: BinaryField1b)

Performs the += operation.

impl AddAssign<BinaryField2b> for BinaryField4b

fn add_assign(&mut self, rhs: BinaryField2b)

Performs the += operation.

impl AddAssign<BinaryField4b> for BinaryField128b

fn add_assign(&mut self, rhs: BinaryField4b)

Performs the += operation.

impl AddAssign<BinaryField4b> for BinaryField16b

fn add_assign(&mut self, rhs: BinaryField4b)

Performs the += operation.

impl AddAssign<BinaryField4b> for BinaryField32b

fn add_assign(&mut self, rhs: BinaryField4b)

Performs the += operation.

impl AddAssign<BinaryField4b> for BinaryField64b

fn add_assign(&mut self, rhs: BinaryField4b)

Performs the += operation.

impl AddAssign<BinaryField4b> for BinaryField8b

fn add_assign(&mut self, rhs: BinaryField4b)

Performs the += operation.

impl AddAssign for BinaryField4b

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl AsSinglePacked for BinaryField4b

type Packed = PackedPrimitiveType<SmallU<4>, BinaryField4b>

fn to_single_packed(self) -> Self::Packed

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

impl BinaryField for BinaryField4b

const MULTIPLICATIVE_GENERATOR: BinaryField4b = _

const N_BITS: usize = Self::DEGREE

impl Clone for BinaryField4b

fn clone(&self) -> BinaryField4b

Returns a copy of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for BinaryField4b

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 BinaryField4b

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 BinaryField4b

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

Formats the value using the given formatter.

impl Default for BinaryField4b

fn default() -> BinaryField4b

Returns the “default value” for a type.

impl DeserializeBytes for BinaryField4b

fn deserialize(read_buf: impl Buf) -> Result<Self, SerializationError>

impl Display for BinaryField4b

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

Formats the value using the given formatter.

impl ExtensionField<BinaryField1b> for BinaryField4b

const LOG_DEGREE: usize = 2usize

Base-2 logarithm of the extension degree.

type Iterator = <[BinaryField1b; 4] 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 ExtensionField<BinaryField2b> for BinaryField4b

const LOG_DEGREE: usize = 1usize

Base-2 logarithm of the extension degree.

type Iterator = <[BinaryField2b; 2] 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: &[BinaryField2b], 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 ExtensionField<BinaryField4b> for BinaryField128b

const LOG_DEGREE: usize = 5usize

Base-2 logarithm of the extension degree.

type Iterator = <[BinaryField4b; 32] 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: &[BinaryField4b], 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 ExtensionField<BinaryField4b> for BinaryField16b

const LOG_DEGREE: usize = 2usize

Base-2 logarithm of the extension degree.

type Iterator = <[BinaryField4b; 4] 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: &[BinaryField4b], 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 ExtensionField<BinaryField4b> for BinaryField32b

const LOG_DEGREE: usize = 3usize

Base-2 logarithm of the extension degree.

type Iterator = <[BinaryField4b; 8] 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: &[BinaryField4b], 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 ExtensionField<BinaryField4b> for BinaryField64b

const LOG_DEGREE: usize = 4usize

Base-2 logarithm of the extension degree.

type Iterator = <[BinaryField4b; 16] 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: &[BinaryField4b], 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 ExtensionField<BinaryField4b> for BinaryField8b

const LOG_DEGREE: usize = 1usize

Base-2 logarithm of the extension degree.

type Iterator = <[BinaryField4b; 2] 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: &[BinaryField4b], 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 BinaryField4b

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<(BinaryField2b, BinaryField2b)> for BinaryField4b

fn from((a, b): (BinaryField2b, BinaryField2b)) -> Self

Converts to this type from the input type.

impl From<BinaryField1b> for BinaryField4b

fn from(elem: BinaryField1b) -> Self

Converts to this type from the input type.

impl From<BinaryField2b> for BinaryField4b

fn from(elem: BinaryField2b) -> Self

Converts to this type from the input type.

impl From<BinaryField4b> for (BinaryField2b, BinaryField2b)

fn from(src: BinaryField4b) -> (BinaryField2b, BinaryField2b)

Converts to this type from the input type.

impl From<BinaryField4b> for BinaryField128b

fn from(elem: BinaryField4b) -> Self

Converts to this type from the input type.

impl From<BinaryField4b> for BinaryField16b

fn from(elem: BinaryField4b) -> Self

Converts to this type from the input type.

impl From<BinaryField4b> for BinaryField32b

fn from(elem: BinaryField4b) -> Self

Converts to this type from the input type.

impl From<BinaryField4b> for BinaryField64b

fn from(elem: BinaryField4b) -> Self

Converts to this type from the input type.

impl From<BinaryField4b> for BinaryField8b

fn from(elem: BinaryField4b) -> Self

Converts to this type from the input type.

impl From<BinaryField4b> for U4

fn from(val: BinaryField4b) -> Self

Converts to this type from the input type.

impl From<BinaryField4b> for u8

fn from(value: BinaryField4b) -> Self

Converts to this type from the input type.

impl From<SmallU<4>> for BinaryField4b

fn from(val: U4) -> Self

Converts to this type from the input type.

impl From<u8> for BinaryField4b

fn from(val: u8) -> Self

Converts to this type from the input type.

impl Hash for BinaryField4b

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 BinaryField4b

fn invert_or_zero(self) -> Self

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

impl Mul<&BinaryField4b> for BinaryField4b

type Output = BinaryField4b

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<BinaryField128b> for BinaryField4b

type Output = BinaryField128b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField128b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField16b> for BinaryField4b

type Output = BinaryField16b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField16b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField1b> for BinaryField4b

type Output = BinaryField4b

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<BinaryField2b> for BinaryField4b

type Output = BinaryField4b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField2b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField32b> for BinaryField4b

type Output = BinaryField32b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField32b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField4b> for BinaryField128b

type Output = BinaryField128b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField4b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField4b> for BinaryField16b

type Output = BinaryField16b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField4b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField4b> for BinaryField1b

type Output = BinaryField4b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField4b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField4b> for BinaryField2b

type Output = BinaryField4b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField4b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField4b> for BinaryField32b

type Output = BinaryField32b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField4b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField4b> for BinaryField64b

type Output = BinaryField64b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField4b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField4b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField4b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField64b> for BinaryField4b

type Output = BinaryField64b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField64b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField8b> for BinaryField4b

type Output = BinaryField8b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField8b) -> Self::Output

Performs the * operation.

impl Mul for BinaryField4b

type Output = BinaryField4b

The resulting type after applying the * operator.

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

Performs the * operation.

impl MulAssign<&BinaryField4b> for BinaryField4b

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

Performs the *= operation.

impl MulAssign<BinaryField1b> for BinaryField4b

fn mul_assign(&mut self, rhs: BinaryField1b)

Performs the *= operation.

impl MulAssign<BinaryField2b> for BinaryField4b

fn mul_assign(&mut self, rhs: BinaryField2b)

Performs the *= operation.

impl MulAssign<BinaryField4b> for BinaryField128b

fn mul_assign(&mut self, rhs: BinaryField4b)

Performs the *= operation.

impl MulAssign<BinaryField4b> for BinaryField16b

fn mul_assign(&mut self, rhs: BinaryField4b)

Performs the *= operation.

impl MulAssign<BinaryField4b> for BinaryField32b

fn mul_assign(&mut self, rhs: BinaryField4b)

Performs the *= operation.

impl MulAssign<BinaryField4b> for BinaryField64b

fn mul_assign(&mut self, rhs: BinaryField4b)

Performs the *= operation.

impl MulAssign<BinaryField4b> for BinaryField8b

fn mul_assign(&mut self, rhs: BinaryField4b)

Performs the *= operation.

impl MulAssign for BinaryField4b

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl Neg for BinaryField4b

type Output = BinaryField4b

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Ord for BinaryField4b

fn cmp(&self, other: &BinaryField4b) -> 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 BinaryField4b

fn eq(&self, other: &BinaryField4b) -> 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 BinaryField4b

fn partial_cmp(&self, other: &BinaryField4b) -> 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 BinaryField4b> for BinaryField4b

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 BinaryField4b

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

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

impl SerializeBytes for BinaryField4b

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

impl Square for BinaryField4b

fn square(self) -> Self

Returns the value multiplied by itself

impl Step for BinaryField4b

fn steps_between(start: &Self, end: &Self) -> Option<usize>

🔬This is a nightly-only experimental API. (step_trait)

Returns the number of successor steps required to get from start to end.

fn forward_checked(start: Self, count: usize) -> Option<Self>

🔬This is a nightly-only experimental API. (step_trait)

Returns the value that would be obtained by taking the successor of self count times.

fn backward_checked(start: Self, count: usize) -> Option<Self>

🔬This is a nightly-only experimental API. (step_trait)

Returns the value that would be obtained by taking the predecessor of self count times.

fn forward(start: Self, count: usize) -> Self

🔬This is a nightly-only experimental API. (step_trait)

Returns the value that would be obtained by taking the successor of self count times.

unsafe fn forward_unchecked(start: Self, count: usize) -> Self

🔬This is a nightly-only experimental API. (step_trait)

Returns the value that would be obtained by taking the successor of self count times.

fn backward(start: Self, count: usize) -> Self

🔬This is a nightly-only experimental API. (step_trait)

Returns the value that would be obtained by taking the predecessor of self count times.

unsafe fn backward_unchecked(start: Self, count: usize) -> Self

🔬This is a nightly-only experimental API. (step_trait)

Returns the value that would be obtained by taking the predecessor of self count times.

impl Sub<&BinaryField4b> for BinaryField4b

type Output = BinaryField4b

The resulting type after applying the - operator.

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

Performs the - operation.

impl Sub<BinaryField128b> for BinaryField4b

type Output = BinaryField128b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField128b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField16b> for BinaryField4b

type Output = BinaryField16b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField16b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField1b> for BinaryField4b

type Output = BinaryField4b

The resulting type after applying the - operator.

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

Performs the - operation.

impl Sub<BinaryField2b> for BinaryField4b

type Output = BinaryField4b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField2b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField32b> for BinaryField4b

type Output = BinaryField32b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField32b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField4b> for BinaryField128b

type Output = BinaryField128b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField4b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField4b> for BinaryField16b

type Output = BinaryField16b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField4b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField4b> for BinaryField1b

type Output = BinaryField4b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField4b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField4b> for BinaryField2b

type Output = BinaryField4b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField4b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField4b> for BinaryField32b

type Output = BinaryField32b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField4b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField4b> for BinaryField64b

type Output = BinaryField64b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField4b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField4b> for BinaryField8b

type Output = BinaryField8b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField4b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField64b> for BinaryField4b

type Output = BinaryField64b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField64b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField8b> for BinaryField4b

type Output = BinaryField8b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField8b) -> Self::Output

Performs the - operation.

impl Sub for BinaryField4b

type Output = BinaryField4b

The resulting type after applying the - operator.

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

Performs the - operation.

impl SubAssign<&BinaryField4b> for BinaryField4b

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

Performs the -= operation.

impl SubAssign<BinaryField1b> for BinaryField4b

fn sub_assign(&mut self, rhs: BinaryField1b)

Performs the -= operation.

impl SubAssign<BinaryField2b> for BinaryField4b

fn sub_assign(&mut self, rhs: BinaryField2b)

Performs the -= operation.

impl SubAssign<BinaryField4b> for BinaryField128b

fn sub_assign(&mut self, rhs: BinaryField4b)

Performs the -= operation.

impl SubAssign<BinaryField4b> for BinaryField16b

fn sub_assign(&mut self, rhs: BinaryField4b)

Performs the -= operation.

impl SubAssign<BinaryField4b> for BinaryField32b

fn sub_assign(&mut self, rhs: BinaryField4b)

Performs the -= operation.

impl SubAssign<BinaryField4b> for BinaryField64b

fn sub_assign(&mut self, rhs: BinaryField4b)

Performs the -= operation.

impl SubAssign<BinaryField4b> for BinaryField8b

fn sub_assign(&mut self, rhs: BinaryField4b)

Performs the -= operation.

impl SubAssign for BinaryField4b

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl<'a> Sum<&'a BinaryField4b> for BinaryField4b

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 BinaryField4b

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 BinaryField4b

const TOWER_LEVEL: usize = 2usize

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

type Canonical = BinaryField4b

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 $T_{\iota + 1} / T_{iota}$.

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

impl TransparentWrapper<SmallU<4>> for BinaryField4b

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 BinaryField4b

type Error = ()

The type returned in the event of a conversion error.

fn try_from(elem: BinaryField128b) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<BinaryField16b> for BinaryField4b

type Error = ()

The type returned in the event of a conversion error.

fn try_from(elem: BinaryField16b) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<BinaryField32b> for BinaryField4b

type Error = ()

The type returned in the event of a conversion error.

fn try_from(elem: BinaryField32b) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<BinaryField4b> for BinaryField1b

type Error = ()

The type returned in the event of a conversion error.

fn try_from(elem: BinaryField4b) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<BinaryField4b> for BinaryField2b

type Error = ()

The type returned in the event of a conversion error.

fn try_from(elem: BinaryField4b) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<BinaryField64b> for BinaryField4b

type Error = ()

The type returned in the event of a conversion error.

fn try_from(elem: BinaryField64b) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<BinaryField8b> for BinaryField4b

type Error = ()

The type returned in the event of a conversion error.

fn try_from(elem: BinaryField8b) -> Result<Self, Self::Error>

Performs the conversion.

impl WithUnderlier for BinaryField4b

type Underlier = SmallU<4>

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 BinaryField4b

fn zeroed() -> Self

Calls zeroed.

impl Copy for BinaryField4b

impl Eq for BinaryField4b

impl StructuralPartialEq for BinaryField4b