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Trait _ 

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pub trait _:
    Sized
    + 'static
    + ToBits
    + ToBytes
    + FromBytes
    + Copy
    + Clone
    + Debug
    + Display
    + Default
    + Send
    + Sync
    + Eq
    + One<Output = Self, Output = Self>
    + Ord
    + Neg<Output = Self>
    + Uniform
    + Zero
    + Hash
    + From<u128>
    + From<u64>
    + From<u32>
    + From<u16>
    + From<u8>
    + Add<Output = Self, Output = Self>
    + Sub<Output = Self, Output = Self>
    + Mul
    + Div<Output = Self, Output = Self>
    + AddAssign
    + SubAssign
    + MulAssign
    + DivAssign
    + for<'a> Add<&'a Self>
    + for<'a> Sub<&'a Self>
    + for<'a> Mul<&'a Self>
    + for<'a> Div<&'a Self>
    + for<'a> AddAssign<&'a Self>
    + for<'a> SubAssign<&'a Self>
    + for<'a> MulAssign<&'a Self>
    + for<'a> DivAssign<&'a Self>
    + Sum
    + for<'a> Sum<&'a Self>
    + Product
    + for<'a> Product<&'a Self>
    + CanonicalSerialize
    + CanonicalSerializeWithFlags
    + CanonicalDeserialize
    + CanonicalDeserializeWithFlags
    + Serialize
    + for<'a> Deserialize<'a> {
    type BasePrimeField: PrimeField;

Show 14 methods // Required methods fn from_base_prime_field(other: Self::BasePrimeField) -> Self; fn characteristic<'a>() -> &'a [u64]; fn double(&self) -> Self; fn double_in_place(&mut self); fn square(&self) -> Self; fn square_in_place(&mut self) -> &mut Self; 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<F>(bytes: &[u8]) -> Option<(Self, F)> where F: Flags; // Provided methods fn half() -> Self { ... } fn sum_of_products<'a>(a: &'a [Self], b: &'a [Self]) -> Self { ... } fn pow<S>(&self, exp: S) -> Self where S: AsRef<[u64]> { ... } fn from_random_bytes(bytes: &[u8]) -> Option<Self> { ... }
}
Expand description

The interface for a generic field.

Required Associated Types§

Required Methods§

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fn from_base_prime_field(other: Self::BasePrimeField) -> Self

Constructs an element of Self from an element of the base prime field.

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

Returns the characteristic of the field.

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fn double(&self) -> Self

Returns self + self.

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fn double_in_place(&mut self)

Doubles self in place.

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fn square(&self) -> Self

Returns self * self.

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

Squares self in place.

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fn inverse(&self) -> Option<Self>

Computes the multiplicative inverse of self if self is nonzero.

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

Sets self to self’s inverse if it exists. Otherwise it is a no-op.

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fn frobenius_map(&mut self, power: usize)

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

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

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.

Provided Methods§

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fn half() -> Self

Returns the constant 2^{-1}.

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fn sum_of_products<'a>(a: &'a [Self], b: &'a [Self]) -> Self

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

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

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

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.

Dyn Compatibility§

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety".

Implementors§