Trait snarkvm_fields::Field[−][src]

pub trait Field: ToBytes + FromBytes + Copy + Clone + Debug + Display + Default + Send + Sync + 'static + Eq + One + Ord + Neg<Output = Self> + UniformRand + Sized + Hash + From<u128> + From<u64> + From<u32> + From<u16> + From<u8> + for<'a> Add<&'a Self, Output = Self> + for<'a> Sub<&'a Self, Output = Self> + for<'a> Mul<&'a Self, Output = Self> + for<'a> Div<&'a Self, Output = Self> + for<'a> AddAssign<&'a Self> + for<'a> SubAssign<&'a Self> + for<'a> MulAssign<&'a Self> + for<'a> DivAssign<&'a Self> + CanonicalSerialize + ConstantSerializedSize + CanonicalSerializeWithFlags + CanonicalDeserialize + CanonicalDeserializeWithFlags + Serialize + for<'a> Deserialize<'a> + Zero {
    fn characteristic<'a>() -> &'a [u64];

#[must_use]    fn double(&self) -> Self;

    fn double_in_place(&mut self) -> &mut Self;

#[must_use]    fn square(&self) -> Self;

    fn square_in_place(&mut self) -> &mut Self;

#[must_use]    fn inverse(&self) -> Option<Self>;

    fn inverse_in_place(&mut self) -> Option<&mut Self>;

    fn frobenius_map(&mut self, power: usize);

    fn from_random_bytes_with_flags(bytes: &[u8]) -> Option<(Self, u8)>;

    fn pow<S: AsRef<[u64]>>(&self, exp: S) -> Self { ... }

    fn from_random_bytes(bytes: &[u8]) -> Option<Self> { ... }
}

The interface for a generic field.

Required methods

fn characteristic<'a>() -> &'a [u64][src]

Returns the characteristic of the field.

#[must_use]fn double(&self) -> Self[src]

Returns self + self.

fn double_in_place(&mut self) -> &mut Self[src]

Doubles self in place.

#[must_use]fn square(&self) -> Self[src]

Returns self * self.

fn square_in_place(&mut self) -> &mut Self[src]

Squares self in place.

#[must_use]fn inverse(&self) -> Option<Self>[src]

Computes the multiplicative inverse of self if self is nonzero.

fn inverse_in_place(&mut self) -> Option<&mut Self>[src]

fn frobenius_map(&mut self, power: usize)[src]

Exponentiates this element by a power of the base prime modulus via the Frobenius automorphism.

fn from_random_bytes_with_flags(bytes: &[u8]) -> Option<(Self, u8)>[src]

Returns a field element with an extra sign bit used for group parsing if the set of bytes forms a valid field element, otherwise returns None. This function is primarily intended for sampling random field elements from a hash-function or RNG output.

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Provided methods

fn pow<S: AsRef<[u64]>>(&self, exp: S) -> Self[src]

Exponentiates this element by a number represented with u64 limbs, least significant limb first.

fn from_random_bytes(bytes: &[u8]) -> Option<Self>[src]

Returns a field element if the set of bytes forms a valid field element, otherwise returns None. This function is primarily intended for sampling random field elements from a hash-function or RNG output.

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Implementors

impl<P: Fp6Parameters> Field for snarkvm_fields::fp6_2over3::Fp6<P>[src]

impl<P: Fp6Parameters> Field for snarkvm_fields::fp6_3over2::Fp6<P>[src]

impl<P: Fp2Parameters> Field for Fp2<P>[src]

impl<P: Fp3Parameters> Field for Fp3<P>[src]

impl<P: Fp12Parameters> Field for Fp12<P>[src]

impl<P: Fp256Parameters> Field for Fp256<P>[src]

impl<P: Fp320Parameters> Field for Fp320<P>[src]

impl<P: Fp384Parameters> Field for Fp384<P>[src]

impl<P: Fp768Parameters> Field for Fp768<P>[src]

impl<P: Fp832Parameters> Field for Fp832<P>[src]

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