pub struct Mersenne31Complex;

Trait Implementations§

source§

impl Clone for Mersenne31Complex

source§

fn clone(&self) -> Mersenne31Complex

Returns a copy of the value. Read more
1.0.0 · source§

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

Performs copy-assignment from source. Read more
source§

impl Debug for Mersenne31Complex

source§

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

Formats the value using the given formatter. Read more
source§

impl HasCubicNonResidue<Mersenne31Complex> for Mersenne31Complex

source§

fn residue() -> FieldElement<Mersenne31Complex>

This function must return an element that is not a cube in Fp, that is, a cubic non-residue.
source§

impl HasQuadraticNonResidue<Mersenne31Complex> for Mersenne31Complex

source§

impl IsField for Mersenne31Complex

source§

fn add(a: &Self::BaseType, b: &Self::BaseType) -> Self::BaseType

Returns the component wise addition of a and b

source§

fn mul(a: &Self::BaseType, b: &Self::BaseType) -> Self::BaseType

Returns the multiplication of a and b using the following equation: (a0 + a1 * t) * (b0 + b1 * t) = a0 * b0 + a1 * b1 * Self::residue() + (a0 * b1 + a1 * b0) * t where t.pow(2) equals Q::residue().

source§

fn sub(a: &Self::BaseType, b: &Self::BaseType) -> Self::BaseType

Returns the component wise subtraction of a and b

source§

fn neg(a: &Self::BaseType) -> Self::BaseType

Returns the component wise negation of a

source§

fn inv(a: &Self::BaseType) -> Result<Self::BaseType, FieldError>

Returns the multiplicative inverse of a

source§

fn div(a: &Self::BaseType, b: &Self::BaseType) -> Self::BaseType

Returns the division of a and b

source§

fn eq(a: &Self::BaseType, b: &Self::BaseType) -> bool

Returns a boolean indicating whether a and b are equal component wise.

source§

fn zero() -> Self::BaseType

Returns the additive neutral element of the field extension.

source§

fn one() -> Self::BaseType

Returns the multiplicative neutral element of the field extension.

source§

fn from_u64(x: u64) -> Self::BaseType

Returns the element x * 1 where 1 is the multiplicative neutral element.

source§

fn from_base_type(x: Self::BaseType) -> Self::BaseType

Takes as input an element of BaseType and returns the internal representation of that element in the field. Note: for this case this is simply the identity, because the components already have correct representations.

source§

type BaseType = [FieldElement<Mersenne31Field>; 2]

source§

fn square(a: &Self::BaseType) -> Self::BaseType

Returns the multiplication of a and a.
source§

fn double(a: &Self::BaseType) -> Self::BaseType

Returns the double of a.
source§

fn pow<T>(a: &Self::BaseType, exponent: T) -> Self::BaseType

Auto Trait Implementations§

Blanket Implementations§

source§

impl<T> Any for T
where T: 'static + ?Sized,

source§

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
source§

impl<T> Borrow<T> for T
where T: ?Sized,

source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
source§

impl<T> BorrowMut<T> for T
where T: ?Sized,

source§

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

Mutably borrows from an owned value. Read more
source§

impl<T> CloneToUninit for T
where T: Clone,

source§

unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. Read more
source§

impl<T> From<T> for T

source§

fn from(t: T) -> T

Returns the argument unchanged.

source§

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

source§

fn into(self) -> U

Calls U::from(self).

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

source§

impl<T> IntoEither for T

source§

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
source§

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
source§

impl<F, Q> IsSubFieldOf<CubicExtensionField<F, Q>> for F
where F: IsField, Q: Clone + Debug + HasCubicNonResidue<F>,

source§

impl<F> IsSubFieldOf<F> for F
where F: IsField,

source§

fn mul( a: &<F as IsField>::BaseType, b: &<F as IsField>::BaseType, ) -> <F as IsField>::BaseType

source§

fn add( a: &<F as IsField>::BaseType, b: &<F as IsField>::BaseType, ) -> <F as IsField>::BaseType

source§

fn sub( a: &<F as IsField>::BaseType, b: &<F as IsField>::BaseType, ) -> <F as IsField>::BaseType

source§

fn div( a: &<F as IsField>::BaseType, b: &<F as IsField>::BaseType, ) -> <F as IsField>::BaseType

source§

fn embed(a: <F as IsField>::BaseType) -> <F as IsField>::BaseType

source§

fn to_subfield_vec(b: <F as IsField>::BaseType) -> Vec<<F as IsField>::BaseType>

source§

impl<F, Q> IsSubFieldOf<QuadraticExtensionField<F, Q>> for F

source§

impl<T> Pointable for T

source§

const ALIGN: usize = _

The alignment of pointer.
source§

type Init = T

The type for initializers.
source§

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
source§

unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
source§

unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
source§

unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
source§

impl<T> ToOwned for T
where T: Clone,

source§

type Owned = T

The resulting type after obtaining ownership.
source§

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
source§

fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
source§

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

source§

type Error = Infallible

The type returned in the event of a conversion error.
source§

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
source§

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

source§

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

The type returned in the event of a conversion error.
source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.