Struct ark_ff::fields::models::fp::Fp

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pub struct Fp<P: FpConfig<N>, const N: usize>(pub BigInt<N>, _);
Expand description

Represents an element of the prime field F_p, where p == P::MODULUS. This type can represent elements in any field of size at most N * 64 bits.

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§0: BigInt<N>

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impl<T: MontConfig<N>, const N: usize> Fp<MontBackend<T, N>, N>

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pub const fn new(element: BigInt<N>) -> Self

Construct a new field element from its underlying BigInt data type.

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pub const fn new_unchecked(element: BigInt<N>) -> Self

Construct a new field element from its underlying BigInt data type.

Unlike Self::new, this method does not perform Montgomery reduction. Thus, this method should be used only when constructing an element from an integer that has already been put in Montgomery form.

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impl<'a, P: FpConfig<N>, const N: usize> Add<&'a Fp<P, N>> for Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the + operator.
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fn add(self, other: &Self) -> Self

Performs the + operation. Read more
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impl<'a, P: FpConfig<N>, const N: usize> Add<&'a mut Fp<P, N>> for Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the + operator.
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fn add(self, other: &'a mut Self) -> Self

Performs the + operation. Read more
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impl<'a, 'b, P: FpConfig<N>, const N: usize> Add<&'b Fp<P, N>> for &'a Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the + operator.
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fn add(self, other: &'b Fp<P, N>) -> Fp<P, N>

Performs the + operation. Read more
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impl<P: FpConfig<N>, const N: usize> Add<Fp<P, N>> for Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the + operator.
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fn add(self, other: Self) -> Self

Performs the + operation. Read more
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impl<'a, P: FpConfig<N>, const N: usize> AddAssign<&'a Fp<P, N>> for Fp<P, N>

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fn add_assign(&mut self, other: &Self)

Performs the += operation. Read more
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impl<'a, P: FpConfig<N>, const N: usize> AddAssign<&'a mut Fp<P, N>> for Fp<P, N>

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fn add_assign(&mut self, other: &'a mut Self)

Performs the += operation. Read more
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impl<P: FpConfig<N>, const N: usize> AddAssign<Fp<P, N>> for Fp<P, N>

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fn add_assign(&mut self, other: Self)

Performs the += operation. Read more
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impl<P: FpConfig<N>, const N: usize> CanonicalDeserialize for Fp<P, N>

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fn deserialize_with_mode<R: Read>( reader: R, _compress: Compress, _validate: Validate ) -> Result<Self, SerializationError>

The general deserialize method that takes in customization flags.
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fn deserialize_compressed<R>(reader: R) -> Result<Self, SerializationError>where R: Read,

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fn deserialize_compressed_unchecked<R>( reader: R ) -> Result<Self, SerializationError>where R: Read,

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fn deserialize_uncompressed<R>(reader: R) -> Result<Self, SerializationError>where R: Read,

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fn deserialize_uncompressed_unchecked<R>( reader: R ) -> Result<Self, SerializationError>where R: Read,

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impl<P: FpConfig<N>, const N: usize> CanonicalDeserializeWithFlags for Fp<P, N>

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fn deserialize_with_flags<R: Read, F: Flags>( reader: R ) -> Result<(Self, F), SerializationError>

Reads Self and Flags from reader. Returns empty flags by default.
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impl<P: FpConfig<N>, const N: usize> CanonicalSerialize for Fp<P, N>

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fn serialize_with_mode<W: Write>( &self, writer: W, _compress: Compress ) -> Result<(), SerializationError>

The general serialize method that takes in customization flags.
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fn serialized_size(&self, _compress: Compress) -> usize

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fn serialize_compressed<W>(&self, writer: W) -> Result<(), SerializationError>where W: Write,

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fn compressed_size(&self) -> usize

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fn serialize_uncompressed<W>(&self, writer: W) -> Result<(), SerializationError>where W: Write,

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fn uncompressed_size(&self) -> usize

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impl<P: FpConfig<N>, const N: usize> CanonicalSerializeWithFlags for Fp<P, N>

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fn serialize_with_flags<W: Write, F: Flags>( &self, writer: W, flags: F ) -> Result<(), SerializationError>

Serializes self and flags into writer.
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fn serialized_size_with_flags<F: Flags>(&self) -> usize

Serializes self and flags into writer.
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impl<P: FpConfig<N>, const N: usize> Clone for Fp<P, N>

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fn clone(&self) -> Self

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<P: FpConfig<N>, const N: usize> Debug for Fp<P, N>

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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<P: FpConfig<N>, const N: usize> Default for Fp<P, N>

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fn default() -> Self

Returns the “default value” for a type. Read more
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impl<P: FpConfig<N>, const N: usize> Display for Fp<P, N>

Outputs a string containing the value of self, represented as a decimal without leading zeroes.

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

Formats the value using the given formatter. Read more
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impl<P: FpConfig<N>, const N: usize> Distribution<Fp<P, N>> for Standard

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fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Fp<P, N>

Generate a random value of T, using rng as the source of randomness.
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fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness. Read more
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fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>where F: Fn(T) -> S, Self: Sized,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F Read more
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impl<'a, P: FpConfig<N>, const N: usize> Div<&'a Fp<P, N>> for Fp<P, N>

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fn div(self, other: &Self) -> Self

Returns self * other.inverse() if other.inverse() is Some, and panics otherwise.

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type Output = Fp<P, N>

The resulting type after applying the / operator.
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impl<'a, P: FpConfig<N>, const N: usize> Div<&'a mut Fp<P, N>> for Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the / operator.
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fn div(self, other: &'a mut Self) -> Self

Performs the / operation. Read more
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impl<'a, 'b, P: FpConfig<N>, const N: usize> Div<&'b Fp<P, N>> for &'a Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the / operator.
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fn div(self, other: &Fp<P, N>) -> Fp<P, N>

Performs the / operation. Read more
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impl<P: FpConfig<N>, const N: usize> Div<Fp<P, N>> for Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the / operator.
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fn div(self, other: Self) -> Self

Performs the / operation. Read more
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impl<'a, P: FpConfig<N>, const N: usize> DivAssign<&'a Fp<P, N>> for Fp<P, N>

Computes self *= other.inverse() if other.inverse() is Some, and panics otherwise.

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fn div_assign(&mut self, other: &Self)

Performs the /= operation. Read more
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impl<'a, P: FpConfig<N>, const N: usize> DivAssign<&'a mut Fp<P, N>> for Fp<P, N>

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fn div_assign(&mut self, other: &'a mut Self)

Performs the /= operation. Read more
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impl<P: FpConfig<N>, const N: usize> DivAssign<Fp<P, N>> for Fp<P, N>

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fn div_assign(&mut self, other: Self)

Performs the /= operation. Read more
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impl<P: FpConfig<N>, const N: usize> FftField for Fp<P, N>

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const GENERATOR: Self = P::GENERATOR

The generator of the multiplicative group of the field
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const TWO_ADICITY: u32 = P::TWO_ADICITY

Let N be the size of the multiplicative group defined by the field. Then TWO_ADICITY is the two-adicity of N, i.e. the integer s such that N = 2^s * t for some odd integer t.
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const TWO_ADIC_ROOT_OF_UNITY: Self = P::TWO_ADIC_ROOT_OF_UNITY

2^s root of unity computed by GENERATOR^t
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const SMALL_SUBGROUP_BASE: Option<u32> = P::SMALL_SUBGROUP_BASE

An integer b such that there exists a multiplicative subgroup of size b^k for some integer k.
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const SMALL_SUBGROUP_BASE_ADICITY: Option<u32> = P::SMALL_SUBGROUP_BASE_ADICITY

The integer k such that there exists a multiplicative subgroup of size Self::SMALL_SUBGROUP_BASE^k.
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const LARGE_SUBGROUP_ROOT_OF_UNITY: Option<Self> = P::LARGE_SUBGROUP_ROOT_OF_UNITY

GENERATOR^((MODULUS-1) / (2^s * SMALL_SUBGROUP_BASE^SMALL_SUBGROUP_BASE_ADICITY)) Used for mixed-radix FFT.
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fn get_root_of_unity(n: u64) -> Option<Self>

Returns the root of unity of order n, if one exists. If no small multiplicative subgroup is defined, this is the 2-adic root of unity of order n (for n a power of 2). If a small multiplicative subgroup is defined, this is the root of unity of order n for the larger subgroup generated by FftConfig::LARGE_SUBGROUP_ROOT_OF_UNITY (for n = 2^i * FftConfig::SMALL_SUBGROUP_BASE^j for some i, j).
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impl<P: FpConfig<N>, const N: usize> Field for Fp<P, N>

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fn frobenius_map_in_place(&mut self, _: usize)

The Frobenius map has no effect in a prime field.

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type BasePrimeField = Fp<P, N>

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type BasePrimeFieldIter = Once<<Fp<P, N> as Field>::BasePrimeField>

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const SQRT_PRECOMP: Option<SqrtPrecomputation<Self>> = P::SQRT_PRECOMP

Determines the algorithm for computing square roots.
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const ZERO: Self = P::ZERO

The additive identity of the field.
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const ONE: Self = P::ONE

The multiplicative identity of the field.
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fn extension_degree() -> u64

Returns the extension degree of this field with respect to Self::BasePrimeField.
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fn from_base_prime_field(elem: Self::BasePrimeField) -> Self

Constructs a field element from a single base prime field elements. Read more
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fn to_base_prime_field_elements(&self) -> Self::BasePrimeFieldIter

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fn from_base_prime_field_elems(elems: &[Self::BasePrimeField]) -> Option<Self>

Convert a slice of base prime field elements into a field element. If the slice length != Self::extension_degree(), must return None.
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fn double(&self) -> Self

Returns self + self.
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fn double_in_place(&mut self) -> &mut Self

Doubles self in place.
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fn neg_in_place(&mut self) -> &mut Self

Negates self in place.
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fn characteristic() -> &'static [u64]

Returns the characteristic of the field, in little-endian representation.
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fn sum_of_products<const T: usize>(a: &[Self; T], b: &[Self; T]) -> Self

Returns sum([a_i * b_i]).
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fn from_random_bytes_with_flags<F: Flags>(bytes: &[u8]) -> Option<(Self, F)>

Attempt to deserialize a field element, splitting the bitflags metadata according to F specification. Returns None if the deserialization fails. Read more
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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>

If self.inverse().is_none(), this just returns None. Otherwise, it sets self to self.inverse().unwrap().
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fn legendre(&self) -> LegendreSymbol

Returns a LegendreSymbol, which indicates whether this field element is 1 : a quadratic residue 0 : equal to 0 -1 : a quadratic non-residue
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fn from_random_bytes(bytes: &[u8]) -> Option<Self>

Attempt to deserialize a field element. Returns None if the deserialization fails. Read more
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fn sqrt(&self) -> Option<Self>

Returns the square root of self, if it exists.
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fn sqrt_in_place(&mut self) -> Option<&mut Self>

Sets self to be the square root of self, if it exists.
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fn frobenius_map(&self, power: usize) -> Self

Returns self^s, where s = Self::BasePrimeField::MODULUS^power. This is also called the Frobenius automorphism.
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fn pow<S: AsRef<[u64]>>(&self, exp: S) -> Self

Returns self^exp, where exp is an integer represented with u64 limbs, least significant limb first.
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fn pow_with_table<S: AsRef<[u64]>>(powers_of_2: &[Self], exp: S) -> Option<Self>

Exponentiates a field element f by a number represented with u64 limbs, using a precomputed table containing as many powers of 2 of f as the 1 + the floor of log2 of the exponent exp, starting from the 1st power. That is, powers_of_2 should equal &[p, p^2, p^4, ..., p^(2^n)] when exp has at most n bits. Read more
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impl<P: FpConfig<N>, const N: usize> From<BigInt<N>> for Fp<P, N>

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fn from(int: BigInt<N>) -> Self

Converts Self::BigInteger into Self

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impl<P: FpConfig<N>, const N: usize> From<BigUint> for Fp<P, N>

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fn from(val: BigUint) -> Fp<P, N>

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> From<Fp<P, N>> for BigInt<N>

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fn from(fp: Fp<P, N>) -> Self

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> From<Fp<P, N>> for BigUint

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fn from(other: Fp<P, N>) -> Self

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> From<bool> for Fp<P, N>

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fn from(other: bool) -> Self

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> From<i128> for Fp<P, N>

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fn from(other: i128) -> Self

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> From<i16> for Fp<P, N>

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fn from(other: i16) -> Self

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> From<i32> for Fp<P, N>

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fn from(other: i32) -> Self

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> From<i64> for Fp<P, N>

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fn from(other: i64) -> Self

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> From<i8> for Fp<P, N>

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fn from(other: i8) -> Self

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> From<u128> for Fp<P, N>

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fn from(other: u128) -> Self

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> From<u16> for Fp<P, N>

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fn from(other: u16) -> Self

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> From<u32> for Fp<P, N>

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fn from(other: u32) -> Self

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> From<u64> for Fp<P, N>

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fn from(other: u64) -> Self

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> From<u8> for Fp<P, N>

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fn from(other: u8) -> Self

Converts to this type from the input type.
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impl<P: FpConfig<N>, const N: usize> FromStr for Fp<P, N>

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fn from_str(s: &str) -> Result<Self, Self::Err>

Interpret a string of numbers as a (congruent) prime field element. Does not accept unnecessary leading zeroes or a blank string.

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type Err = ()

The associated error which can be returned from parsing.
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impl<P: FpConfig<N>, const N: usize> Hash for Fp<P, N>

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fn hash<__HP>(&self, __state: &mut __HP)where __HP: Hasher,

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl<'a, P: FpConfig<N>, const N: usize> Mul<&'a Fp<P, N>> for Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the * operator.
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fn mul(self, other: &Self) -> Self

Performs the * operation. Read more
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impl<'a, P: FpConfig<N>, const N: usize> Mul<&'a mut Fp<P, N>> for Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the * operator.
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fn mul(self, other: &'a mut Self) -> Self

Performs the * operation. Read more
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impl<'a, 'b, P: FpConfig<N>, const N: usize> Mul<&'b Fp<P, N>> for &'a Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the * operator.
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fn mul(self, other: &Fp<P, N>) -> Fp<P, N>

Performs the * operation. Read more
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impl<P: FpConfig<N>, const N: usize> Mul<Fp<P, N>> for Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the * operator.
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fn mul(self, other: Self) -> Self

Performs the * operation. Read more
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impl<'a, P: FpConfig<N>, const N: usize> MulAssign<&'a Fp<P, N>> for Fp<P, N>

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fn mul_assign(&mut self, other: &Self)

Performs the *= operation. Read more
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impl<'a, P: FpConfig<N>, const N: usize> MulAssign<&'a mut Fp<P, N>> for Fp<P, N>

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fn mul_assign(&mut self, other: &'a mut Self)

Performs the *= operation. Read more
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impl<P: FpConfig<N>, const N: usize> MulAssign<Fp<P, N>> for Fp<P, N>

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fn mul_assign(&mut self, other: Self)

Performs the *= operation. Read more
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impl<P: FpConfig<N>, const N: usize> Neg for Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the - operator.
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fn neg(self) -> Self

Performs the unary - operation. Read more
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impl<P: FpConfig<N>, const N: usize> One for Fp<P, N>

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fn one() -> Self

Returns the multiplicative identity element of Self, 1. Read more
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fn is_one(&self) -> bool

Returns true if self is equal to the multiplicative identity. Read more
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fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.
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impl<P: FpConfig<N>, const N: usize> Ord for Fp<P, N>

Note that this implementation of Ord compares field elements viewing them as integers in the range 0, 1, …, P::MODULUS - 1. However, other implementations of PrimeField might choose a different ordering, and as such, users should use this Ord for applications where any ordering suffices (like in a BTreeMap), and not in applications where a particular ordering is required.

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fn cmp(&self, other: &Self) -> Ordering

This method returns an Ordering between self and other. Read more
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fn max(self, other: Self) -> Selfwhere Self: Sized,

Compares and returns the maximum of two values. Read more
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fn min(self, other: Self) -> Selfwhere Self: Sized,

Compares and returns the minimum of two values. Read more
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fn clamp(self, min: Self, max: Self) -> Selfwhere Self: Sized + PartialOrd<Self>,

Restrict a value to a certain interval. Read more
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impl<P: FpConfig<N>, const N: usize> PartialEq<Fp<P, N>> for Fp<P, N>

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fn eq(&self, other: &Self) -> bool

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

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<P: FpConfig<N>, const N: usize> PartialOrd<Fp<P, N>> for Fp<P, N>

Note that this implementation of PartialOrd compares field elements viewing them as integers in the range 0, 1, …, P::MODULUS - 1. However, other implementations of PrimeField might choose a different ordering, and as such, users should use this PartialOrd for applications where any ordering suffices (like in a BTreeMap), and not in applications where a particular ordering is required.

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fn partial_cmp(&self, other: &Self) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more
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fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator. Read more
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fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more
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fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator. Read more
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fn ge(&self, other: &Rhs) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl<P: FpConfig<N>, const N: usize> PrimeField for Fp<P, N>

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type BigInt = BigInt<N>

A BigInteger type that can represent elements of this field.
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const MODULUS: Self::BigInt = P::MODULUS

The modulus p.
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const MODULUS_MINUS_ONE_DIV_TWO: Self::BigInt = _

The value (p - 1)/ 2.
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const MODULUS_BIT_SIZE: u32 = _

The size of the modulus in bits.
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const TRACE: Self::BigInt = _

The trace of the field is defined as the smallest integer t such that by 2^s * t = p - 1, and t is coprime to 2.
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const TRACE_MINUS_ONE_DIV_TWO: Self::BigInt = _

The value (t - 1)/ 2.
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fn from_bigint(r: BigInt<N>) -> Option<Self>

Construct a prime field element from an integer in the range 0..(p - 1).
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fn into_bigint(self) -> BigInt<N>

Converts an element of the prime field into an integer in the range 0..(p - 1).
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fn from_be_bytes_mod_order(bytes: &[u8]) -> Self

Reads bytes in big-endian, and converts them to a field element. If the integer represented by bytes is larger than the modulus p, this method performs the appropriate reduction.
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fn from_le_bytes_mod_order(bytes: &[u8]) -> Self

Reads bytes in little-endian, and converts them to a field element. If the integer represented by bytes is larger than the modulus p, this method performs the appropriate reduction.
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impl<'a, P: FpConfig<N>, const N: usize> Product<&'a Fp<P, N>> for Fp<P, N>

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fn product<I: Iterator<Item = &'a Self>>(iter: I) -> Self

Method which takes an iterator and generates Self from the elements by multiplying the items.
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impl<P: FpConfig<N>, const N: usize> Product<Fp<P, N>> for Fp<P, N>

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fn product<I: Iterator<Item = Self>>(iter: I) -> Self

Method which takes an iterator and generates Self from the elements by multiplying the items.
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impl<'a, P: FpConfig<N>, const N: usize> Sub<&'a Fp<P, N>> for Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the - operator.
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fn sub(self, other: &Self) -> Self

Performs the - operation. Read more
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impl<'a, P: FpConfig<N>, const N: usize> Sub<&'a mut Fp<P, N>> for Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the - operator.
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fn sub(self, other: &'a mut Self) -> Self

Performs the - operation. Read more
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impl<'a, 'b, P: FpConfig<N>, const N: usize> Sub<&'b Fp<P, N>> for &'a Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the - operator.
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fn sub(self, other: &Fp<P, N>) -> Fp<P, N>

Performs the - operation. Read more
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impl<P: FpConfig<N>, const N: usize> Sub<Fp<P, N>> for Fp<P, N>

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type Output = Fp<P, N>

The resulting type after applying the - operator.
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fn sub(self, other: Self) -> Self

Performs the - operation. Read more
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impl<'a, P: FpConfig<N>, const N: usize> SubAssign<&'a Fp<P, N>> for Fp<P, N>

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fn sub_assign(&mut self, other: &Self)

Performs the -= operation. Read more
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impl<'a, P: FpConfig<N>, const N: usize> SubAssign<&'a mut Fp<P, N>> for Fp<P, N>

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fn sub_assign(&mut self, other: &'a mut Self)

Performs the -= operation. Read more
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impl<P: FpConfig<N>, const N: usize> SubAssign<Fp<P, N>> for Fp<P, N>

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fn sub_assign(&mut self, other: Self)

Performs the -= operation. Read more
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impl<'a, P: FpConfig<N>, const N: usize> Sum<&'a Fp<P, N>> for Fp<P, N>

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fn sum<I: Iterator<Item = &'a Self>>(iter: I) -> Self

Method which takes an iterator and generates Self from the elements by “summing up” the items.
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impl<P: FpConfig<N>, const N: usize> Sum<Fp<P, N>> for Fp<P, N>

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fn sum<I: Iterator<Item = Self>>(iter: I) -> Self

Method which takes an iterator and generates Self from the elements by “summing up” the items.
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impl<P: FpConfig<N>, const N: usize> Valid for Fp<P, N>

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fn check(&self) -> Result<(), SerializationError>

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fn batch_check<'a>( batch: impl Iterator<Item = &'a Self> + Send ) -> Result<(), SerializationError>where Self: 'a,

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impl<P: FpConfig<N>, const N: usize> Zero for Fp<P, N>

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fn zero() -> Self

Returns the additive identity element of Self, 0. Read more
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fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.
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fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.
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impl<P: FpConfig<N>, const N: usize> Zeroize for Fp<P, N>

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fn zeroize(&mut self)

Zero out this object from memory using Rust intrinsics which ensure the zeroization operation is not “optimized away” by the compiler.
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impl<P: FpConfig<N>, const N: usize> Copy for Fp<P, N>

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impl<P: FpConfig<N>, const N: usize> Eq for Fp<P, N>

Auto Trait Implementations§

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impl<P, const N: usize> RefUnwindSafe for Fp<P, N>where P: RefUnwindSafe,

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impl<P, const N: usize> Send for Fp<P, N>

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impl<P, const N: usize> Sync for Fp<P, N>

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impl<P, const N: usize> Unpin for Fp<P, N>where P: Unpin,

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impl<P, const N: usize> UnwindSafe for Fp<P, N>where P: UnwindSafe,

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impl<T> Any for Twhere 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 Twhere T: ?Sized,

const: unstable · source§

fn borrow(&self) -> &T

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

const: unstable · source§

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

Mutably borrows from an owned value. Read more
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impl<T> CanonicalSerializeHashExt for Twhere T: CanonicalSerialize,

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fn hash<H>(&self) -> GenericArray<u8, <H as OutputSizeUser>::OutputSize>where H: Digest,

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fn hash_uncompressed<H>( &self ) -> GenericArray<u8, <H as OutputSizeUser>::OutputSize>where H: Digest,

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impl<T> From<T> for T

const: unstable · source§

fn from(t: T) -> T

Returns the argument unchanged.

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

const: unstable · 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.

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impl<T> Same<T> for T

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type Output = T

Should always be Self
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impl<T> ToOwned for Twhere 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> ToString for Twhere T: Display + ?Sized,

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default fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for Twhere U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
const: unstable · source§

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 Twhere U: TryFrom<T>,

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

The type returned in the event of a conversion error.
const: unstable · source§

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

Performs the conversion.
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impl<T> UniformRand for Twhere Standard: Distribution<T>,

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fn rand<R>(rng: &mut R) -> Twhere R: Rng + ?Sized,

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impl<V, T> VZip<V> for Twhere V: MultiLane<T>,

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fn vzip(self) -> V