Struct FieldArray 

#[repr(transparent)]
pub struct FieldArray<F: Field, const N: usize>(pub [F; N]);

Tuple Fields

0: [F; N]

Trait Implementations

impl<F: Field, const N: usize> Add<F> for FieldArray<F, N>

type Output = FieldArray<F, N>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<F: Field, const N: usize> Add for FieldArray<F, N>

type Output = FieldArray<F, N>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<F: Field, const N: usize> AddAssign<F> for FieldArray<F, N>

fn add_assign(&mut self, rhs: F)

Performs the += operation.

impl<F: Field, const N: usize> AddAssign for FieldArray<F, N>

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl<F: Clone + Field, const N: usize> Clone for FieldArray<F, N>

fn clone(&self) -> FieldArray<F, N>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<F: Debug + Field, const N: usize> Debug for FieldArray<F, N>

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

Formats the value using the given formatter.

impl<F: Field, const N: usize> Default for FieldArray<F, N>

fn default() -> Self

Returns the “default value” for a type.

impl<F: Field, const N: usize> Div<F> for FieldArray<F, N>

type Output = FieldArray<F, N>

The resulting type after applying the / operator.

fn div(self, rhs: F) -> Self::Output

Performs the / operation.

impl<F: Field, const N: usize> From<[F; N]> for FieldArray<F, N>

fn from(arr: [F; N]) -> Self

Converts to this type from the input type.

impl<F: Field, const N: usize> From<F> for FieldArray<F, N>

fn from(val: F) -> Self

Converts to this type from the input type.

impl<F: Field, const N: usize> Mul<F> for FieldArray<F, N>

type Output = FieldArray<F, N>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<F: Field, const N: usize> Mul for FieldArray<F, N>

type Output = FieldArray<F, N>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<F: Field, const N: usize> MulAssign<F> for FieldArray<F, N>

fn mul_assign(&mut self, rhs: F)

Performs the *= operation.

impl<F: Field, const N: usize> MulAssign for FieldArray<F, N>

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl<F: Field, const N: usize> Neg for FieldArray<F, N>

type Output = FieldArray<F, N>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<F: Field, const N: usize> PackedValue for FieldArray<F, N>

const WIDTH: usize = N

Number of scalar values packed together.

type Value = F

The scalar type that is packed into this value.

fn from_slice(slice: &[Self::Value]) -> &Self

Interprets a slice of scalar values as a packed value reference.

fn from_slice_mut(slice: &mut [Self::Value]) -> &mut Self

Interprets a mutable slice of scalar values as a mutable packed value.

fn from_fn<Fn>(f: Fn) -> Self

where Fn: FnMut(usize) -> Self::Value,

Constructs a packed value using a function to generate each element.

fn as_slice(&self) -> &[Self::Value]

Returns the underlying scalar values as an immutable slice.

fn as_slice_mut(&mut self) -> &mut [Self::Value]

Returns the underlying scalar values as a mutable slice.

fn pack_slice(buf: &[Self::Value]) -> &[Self]

Packs a slice of scalar values into a slice of packed values.

fn pack_slice_with_suffix(buf: &[Self::Value]) -> (&[Self], &[Self::Value])

Packs a slice into packed values and returns the packed portion and any remaining suffix.

fn pack_slice_mut(buf: &mut [Self::Value]) -> &mut [Self]

Converts a mutable slice of scalar values into a mutable slice of packed values.

fn pack_maybe_uninit_slice_mut( buf: &mut [MaybeUninit<Self::Value>], ) -> &mut [MaybeUninit<Self>]

Converts a mutable slice of possibly uninitialized scalar values into a mutable slice of possibly uninitialized packed values.

fn pack_slice_with_suffix_mut( buf: &mut [Self::Value], ) -> (&mut [Self], &mut [Self::Value])

Converts a mutable slice of scalar values into a pair:

fn pack_maybe_uninit_slice_with_suffix_mut( buf: &mut [MaybeUninit<Self::Value>], ) -> (&mut [MaybeUninit<Self>], &mut [MaybeUninit<Self::Value>])

Converts a mutable slice of possibly uninitialized scalar values into a pair:

fn unpack_slice(buf: &[Self]) -> &[Self::Value]

Reinterprets a slice of packed values as a flat slice of scalar values.

impl<F: PartialEq + Field, const N: usize> PartialEq for FieldArray<F, N>

fn eq(&self, other: &FieldArray<F, N>) -> 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<F: Field, const N: usize> PrimeCharacteristicRing for FieldArray<F, N>

const ZERO: Self

The additive identity of the ring.

const ONE: Self

The multiplicative identity of the ring.

const TWO: Self

The element in the ring given by ONE + ONE.

const NEG_ONE: Self

The element in the ring given by -ONE.

type PrimeSubfield = <F as PrimeCharacteristicRing>::PrimeSubfield

The field ℤ/p where the characteristic of this ring is p.

fn from_prime_subfield(f: Self::PrimeSubfield) -> Self

Embed an element of the prime field ℤ/p into the ring R.

fn from_bool(b: bool) -> Self

Return Self::ONE if b is true and Self::ZERO if b is false.

fn from_u8(int: u8) -> Self

Given an integer r, return the sum of r copies of ONE:

fn from_u16(int: u16) -> Self

Given an integer r, return the sum of r copies of ONE:

fn from_u32(int: u32) -> Self

Given an integer r, return the sum of r copies of ONE:

fn from_u64(int: u64) -> Self

Given an integer r, return the sum of r copies of ONE:

fn from_u128(int: u128) -> Self

Given an integer r, return the sum of r copies of ONE:

fn from_usize(int: usize) -> Self

Given an integer r, return the sum of r copies of ONE:

fn from_i8(int: i8) -> Self

Given an integer r, return the sum of r copies of ONE:

fn from_i16(int: i16) -> Self

Given an integer r, return the sum of r copies of ONE:

fn from_i32(int: i32) -> Self

Given an integer r, return the sum of r copies of ONE:

fn from_i64(int: i64) -> Self

Given an integer r, return the sum of r copies of ONE:

fn from_i128(int: i128) -> Self

Given an integer r, return the sum of r copies of ONE:

fn from_isize(int: isize) -> Self

Given an integer r, return the sum of r copies of ONE:

fn double(&self) -> Self

The elementary function double(a) = 2*a.

fn square(&self) -> Self

The elementary function square(a) = a^2.

fn cube(&self) -> Self

The elementary function cube(a) = a^3.

fn xor(&self, y: &Self) -> Self

Computes the arithmetic generalization of boolean xor.

fn xor3(&self, y: &Self, z: &Self) -> Self

Computes the arithmetic generalization of a triple xor.

fn andn(&self, y: &Self) -> Self

Computes the arithmetic generalization of andnot.

fn bool_check(&self) -> Self

The vanishing polynomial for boolean values: x * (1 - x).

fn exp_u64(&self, power: u64) -> Self

Exponentiation by a u64 power.

fn exp_const_u64<const POWER: u64>(&self) -> Self

Exponentiation by a small constant power.

fn exp_power_of_2(&self, power_log: usize) -> Self

The elementary function exp_power_of_2(a, power_log) = a^{2^power_log}.

fn mul_2exp_u64(&self, exp: u64) -> Self

The elementary function mul_2exp_u64(a, exp) = a * 2^{exp}.

fn powers(&self) -> Powers<Self>

Construct an iterator which returns powers of self: self^0, self^1, self^2, ....

fn shifted_powers(&self, start: Self) -> Powers<Self>

Construct an iterator which returns powers of self shifted by start: start, start*self^1, start*self^2, ....

fn dot_product<const N: usize>(u: &[Self; N], v: &[Self; N]) -> Self

Compute the dot product of two vectors.

fn sum_array<const N: usize>(input: &[Self]) -> Self

Compute the sum of a slice of elements whose length is a compile time constant.

fn zero_vec(len: usize) -> Vec<Self>

Allocates a vector of zero elements of length len. Many operating systems zero pages before assigning them to a userspace process. In that case, our process should not need to write zeros, which would be redundant. However, the compiler may not always recognize this.

impl<F: Field, const N: usize> Product for FieldArray<F, N>

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

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

impl<F: Field, const N: usize> Sub<F> for FieldArray<F, N>

type Output = FieldArray<F, N>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<F: Field, const N: usize> Sub for FieldArray<F, N>

type Output = FieldArray<F, N>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<F: Field, const N: usize> SubAssign<F> for FieldArray<F, N>

fn sub_assign(&mut self, rhs: F)

Performs the -= operation.

impl<F: Field, const N: usize> SubAssign for FieldArray<F, N>

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl<F: Field, const N: usize> Sum for FieldArray<F, N>

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

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

impl<F: Field, const N: usize> Algebra<F> for FieldArray<F, N>

impl<F: Copy + Field, const N: usize> Copy for FieldArray<F, N>

impl<F: Eq + Field, const N: usize> Eq for FieldArray<F, N>

impl<F: Field, const N: usize> StructuralPartialEq for FieldArray<F, N>