pub struct U32Field<const MODULUS: u32>;

Trait Implementations§

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impl<const MODULUS: u32> Clone for U32Field<MODULUS>

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fn clone(&self) -> U32Field<MODULUS>

Returns a copy 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<const MODULUS: u32> Debug for U32Field<MODULUS>

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

Formats the value using the given formatter. Read more
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impl<const MODULUS: u32> IsField for U32Field<MODULUS>

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type BaseType = u32

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fn add(a: &u32, b: &u32) -> u32

Returns the sum of a and b.
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fn sub(a: &u32, b: &u32) -> u32

Returns the subtraction of a and b.
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fn neg(a: &u32) -> u32

Returns the additive inverse of a.
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fn mul(a: &u32, b: &u32) -> u32

Returns the multiplication of a and b.
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fn div(a: &u32, b: &u32) -> u32

Returns the division of a and b.
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fn inv(a: &u32) -> Result<u32, FieldError>

Returns the multiplicative inverse of a.
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fn eq(a: &u32, b: &u32) -> bool

Returns a boolean indicating whether a and b are equal or not.
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fn zero() -> u32

Returns the additive neutral element.
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fn one() -> u32

Returns the multiplicative neutral element.
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fn from_u64(x: u64) -> u32

Returns the element x * 1 where 1 is the multiplicative neutral element.
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fn from_base_type(x: u32) -> u32

Takes as input an element of BaseType and returns the internal representation of that element in the field.
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fn double(a: &Self::BaseType) -> Self::BaseType

Returns the double of a.
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fn square(a: &Self::BaseType) -> Self::BaseType

Returns the multiplication of a and a.
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fn pow<T>(a: &Self::BaseType, exponent: T) -> Self::BaseType

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impl<const MODULUS: u32> IsPrimeField for U32Field<MODULUS>

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fn field_bit_size() -> usize

Returns how many bits do you need to represent the biggest field element It expects the MODULUS to be a Prime

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fn from_hex(hex_string: &str) -> Result<Self::BaseType, CreationError>

Unimplemented for test fields

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type RepresentativeType = u32

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fn representative(a: &Self::BaseType) -> u32

Returns the integer representative in the range [0, p-1], where p the modulus
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fn to_hex(x: &u32) -> String

Creates a hexstring from a FieldElement without 0x.
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fn modulus_minus_one() -> Self::RepresentativeType

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fn legendre_symbol(a: &Self::BaseType) -> LegendreSymbol

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fn sqrt(a: &Self::BaseType) -> Option<(Self::BaseType, Self::BaseType)>

Returns the two square roots of self if they exist and None otherwise
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impl<const MODULUS: u32> PartialEq for U32Field<MODULUS>

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fn eq(&self, other: &U32Field<MODULUS>) -> 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<const MODULUS: u32> Eq for U32Field<MODULUS>

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impl<const MODULUS: u32> StructuralPartialEq for U32Field<MODULUS>

Auto Trait Implementations§

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impl<const MODULUS: u32> Freeze for U32Field<MODULUS>

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impl<const MODULUS: u32> RefUnwindSafe for U32Field<MODULUS>

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impl<const MODULUS: u32> Send for U32Field<MODULUS>

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impl<const MODULUS: u32> Sync for U32Field<MODULUS>

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impl<const MODULUS: u32> Unpin for U32Field<MODULUS>

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impl<const MODULUS: u32> UnwindSafe for U32Field<MODULUS>

Blanket Implementations§

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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, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. 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<F, Q> IsSubFieldOf<CubicExtensionField<F, Q>> for F
where F: IsField, Q: Clone + Debug + HasCubicNonResidue<F>,

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

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

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

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

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

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

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

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

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impl<T> Pointable for T

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const ALIGN: usize = _

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. 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.