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FieldArray

slop_algebra

Struct FieldArray 

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

Tuple Fields§

§0: [F; N]

Trait Implementations§

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

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type F = F

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fn zero() -> FieldArray<F, N>

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fn one() -> FieldArray<F, N>

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fn two() -> FieldArray<F, N>

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fn neg_one() -> FieldArray<F, N>

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fn from_f(f: <FieldArray<F, N> as AbstractField>::F) -> FieldArray<F, N>

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fn from_bool(b: bool) -> FieldArray<F, N>

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fn from_canonical_u8(n: u8) -> FieldArray<F, N>

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fn from_canonical_u16(n: u16) -> FieldArray<F, N>

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fn from_canonical_u32(n: u32) -> FieldArray<F, N>

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fn from_canonical_u64(n: u64) -> FieldArray<F, N>

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fn from_canonical_usize(n: usize) -> FieldArray<F, N>

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fn from_wrapped_u32(n: u32) -> FieldArray<F, N>

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fn from_wrapped_u64(n: u64) -> FieldArray<F, N>

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fn generator() -> FieldArray<F, N>

A generator of this field’s entire multiplicative group.
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fn double(&self) -> Self

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fn square(&self) -> Self

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fn cube(&self) -> Self

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

Exponentiation by a u64 power. Read more
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fn exp_const_u64<const POWER: u64>(&self) -> Self

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

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fn powers(&self) -> Powers<Self> ⓘ

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

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fn powers_packed<P>(&self) -> PackedPowers<Self, P> ⓘ
where P: PackedField<Scalar = Self>,

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fn shifted_powers_packed<P>(&self, start: Self) -> PackedPowers<Self, P> ⓘ
where P: PackedField<Scalar = Self>,

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

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fn try_div<Rhs>(self, rhs: Rhs) -> Option<Self::Output>
where Rhs: Field, Self: Mul<Rhs>,

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

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type Output = FieldArray<F, N>

The resulting type after applying the + operator.
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fn add(self, rhs: F) -> <FieldArray<F, N> as Add<F>>::Output

Performs the + operation. Read more
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impl<F, const N: usize> Add for FieldArray<F, N>
where F: Field,

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type Output = FieldArray<F, N>

The resulting type after applying the + operator.
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fn add(self, rhs: FieldArray<F, N>) -> <FieldArray<F, N> as Add>::Output

Performs the + operation. Read more
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impl<F, const N: usize> AddAssign<F> for FieldArray<F, N>
where F: Field,

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fn add_assign(&mut self, rhs: F)

Performs the += operation. Read more
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impl<F, const N: usize> AddAssign for FieldArray<F, N>
where F: Field,

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fn add_assign(&mut self, rhs: FieldArray<F, N>)

Performs the += operation. Read more
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impl<F, const N: usize> Clone for FieldArray<F, N>
where F: Clone + Field,

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

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<F, const N: usize> Debug for FieldArray<F, N>
where F: Debug + Field,

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

Formats the value using the given formatter. Read more
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impl<F, const N: usize> Default for FieldArray<F, N>
where F: Field,

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fn default() -> FieldArray<F, N>

Returns the “default value” for a type. Read more
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impl<F, const N: usize> From<[F; N]> for FieldArray<F, N>
where F: Field,

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fn from(arr: [F; N]) -> FieldArray<F, N>

Converts to this type from the input type.
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impl<F, const N: usize> From<F> for FieldArray<F, N>
where F: Field,

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fn from(val: F) -> FieldArray<F, N>

Converts to this type from the input type.
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impl<F, const N: usize> Mul<F> for FieldArray<F, N>
where F: Field,

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type Output = FieldArray<F, N>

The resulting type after applying the * operator.
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fn mul(self, rhs: F) -> <FieldArray<F, N> as Mul<F>>::Output

Performs the * operation. Read more
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impl<F, const N: usize> Mul for FieldArray<F, N>
where F: Field,

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type Output = FieldArray<F, N>

The resulting type after applying the * operator.
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fn mul(self, rhs: FieldArray<F, N>) -> <FieldArray<F, N> as Mul>::Output

Performs the * operation. Read more
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impl<F, const N: usize> MulAssign<F> for FieldArray<F, N>
where F: Field,

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fn mul_assign(&mut self, rhs: F)

Performs the *= operation. Read more
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impl<F, const N: usize> MulAssign for FieldArray<F, N>
where F: Field,

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fn mul_assign(&mut self, rhs: FieldArray<F, N>)

Performs the *= operation. Read more
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impl<F, const N: usize> Neg for FieldArray<F, N>
where F: Field,

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type Output = FieldArray<F, N>

The resulting type after applying the - operator.
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fn neg(self) -> <FieldArray<F, N> as Neg>::Output

Performs the unary - operation. Read more
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impl<F, const N: usize> PartialEq for FieldArray<F, N>
where F: PartialEq + Field,

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fn eq(&self, other: &FieldArray<F, N>) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<F, const N: usize> Product for FieldArray<F, N>
where F: Field,

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fn product<I>(iter: I) -> FieldArray<F, N>
where I: Iterator<Item = FieldArray<F, N>>,

Takes an iterator and generates Self from the elements by multiplying the items.
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impl<F, const N: usize> Sub<F> for FieldArray<F, N>
where F: Field,

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type Output = FieldArray<F, N>

The resulting type after applying the - operator.
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fn sub(self, rhs: F) -> <FieldArray<F, N> as Sub<F>>::Output

Performs the - operation. Read more
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impl<F, const N: usize> Sub for FieldArray<F, N>
where F: Field,

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type Output = FieldArray<F, N>

The resulting type after applying the - operator.
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fn sub(self, rhs: FieldArray<F, N>) -> <FieldArray<F, N> as Sub>::Output

Performs the - operation. Read more
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impl<F, const N: usize> SubAssign<F> for FieldArray<F, N>
where F: Field,

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fn sub_assign(&mut self, rhs: F)

Performs the -= operation. Read more
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impl<F, const N: usize> SubAssign for FieldArray<F, N>
where F: Field,

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fn sub_assign(&mut self, rhs: FieldArray<F, N>)

Performs the -= operation. Read more
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impl<F, const N: usize> Sum for FieldArray<F, N>
where F: Field,

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fn sum<I>(iter: I) -> FieldArray<F, N>
where I: Iterator<Item = FieldArray<F, N>>,

Takes an iterator and generates Self from the elements by “summing up” the items.
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impl<F, const N: usize> Copy for FieldArray<F, N>
where F: Copy + Field,

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

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

Auto Trait Implementations§

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impl<F, const N: usize> Freeze for FieldArray<F, N>
where F: Freeze,

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impl<F, const N: usize> RefUnwindSafe for FieldArray<F, N>
where F: RefUnwindSafe,

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impl<F, const N: usize> Send for FieldArray<F, N>

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impl<F, const N: usize> Sync for FieldArray<F, N>

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impl<F, const N: usize> Unpin for FieldArray<F, N>
where F: Unpin,

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impl<F, const N: usize> UnsafeUnpin for FieldArray<F, N>
where F: UnsafeUnpin,

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impl<F, const N: usize> UnwindSafe for FieldArray<F, N>
where F: UnwindSafe,

Blanket Implementations§

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impl<AF> AbstractExtensionField<AF> for AF
where AF: AbstractField,

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const D: usize = 1

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fn from_base(b: AF) -> AF

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fn from_base_slice(bs: &[AF]) -> AF

Suppose this field extension is represented by the quotient ring B[X]/(f(X)) where B is Base and f is an irreducible polynomial of degree D. This function takes a slice bs of length at most D, and constructs the field element \sum_i bs[i] * X^i. Read more
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fn from_base_fn<F>(f: F) -> AF
where F: FnMut(usize) -> AF,

Similar to core:array::from_fn, with the same caveats as from_base_slice.
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fn as_base_slice(&self) -> &[AF]

Suppose this field extension is represented by the quotient ring B[X]/(f(X)) where B is Base and f is an irreducible polynomial of degree D. This function takes a field element \sum_i bs[i] * X^i and returns the coefficients as a slice bs of length at most D containing, from lowest degree to highest. Read more
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fn monomial(exponent: usize) -> Self

Suppose this field extension is represented by the quotient ring B[X]/(f(X)) where B is Base and f is an irreducible polynomial of degree D. This function returns the field element X^exponent if exponent < D and panics otherwise. (The fact that f is not known at the point that this function is defined prevents implementing exponentiation of higher powers since the reduction cannot be performed.) Read more
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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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impl<R, E> Algebra<R> for E
where E: AbstractField + Module<R>,

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impl<R, E> Module<R> for E
where E: Add<R, Output = E> + Sub<R, Output = E> + Mul<R, Output = E> + Neg<Output = E> + Clone, R: AbstractField,