Struct bls12_381_plus::Scalar

pub struct Scalar(/* private fields */);

Represents an element of the scalar field $\mathbb{F}_q$ of the BLS12-381 elliptic curve construction.

Implementations

impl Scalar

pub const BYTES: usize = 32usize

Bytes to represent this field

pub const ZERO: Scalar = _

The additive identity.

pub const ONE: Scalar = R

The multiplicative identity.

pub const fn double(&self) -> Scalar

Doubles this field element.

pub fn from_be_bytes(bytes: &[u8; 32]) -> CtOption<Self>

Attempts to convert a big-endian byte representation of a scalar into a Scalar, failing if the input is not canonical.

pub fn from_le_bytes(bytes: &[u8; 32]) -> CtOption<Self>

Attempts to convert a little-endian byte representation of a scalar into a Scalar, failing if the input is not canonical.

pub fn to_le_bytes(&self) -> [u8; 32]

Converts an element of Scalar into a byte representation in little-endian byte order.

pub fn to_be_bytes(&self) -> [u8; 32]

Converts an element of Scalar into a byte representation in big-endian byte order.

pub fn from_be_hex(hex: &str) -> CtOption<Self>

Create a new Scalar from the provided big endian hex string.

pub fn from_le_hex(hex: &str) -> CtOption<Self>

Create a new Scalar from the provided little endian hex string.

pub fn from_bytes_wide(bytes: &[u8; 64]) -> Scalar

Converts a 512-bit little endian integer into a Scalar by reducing by the modulus.

pub fn from_okm(bytes: &[u8; 48]) -> Scalar

Read from output of a KDF

pub fn from_raw(val: [u64; 4]) -> CtOption<Self>

Converts from an integer represented in little endian into its (congruent) Scalar representation.

pub const fn from_raw_unchecked(val: [u64; 4]) -> Self

Converts from an integer represented in little endian into its (congruent) Scalar representation.

pub const fn to_raw(&self) -> [u64; 4]

Converts this Scalar into an integer represented in little endian

pub const fn square(&self) -> Scalar

Squares this element.

pub fn pow(&self, by: &[u64; 4]) -> Self

Exponentiates self by by, where by is a little-endian order integer exponent.

pub fn pow_vartime(&self, by: &[u64; 4]) -> Self

Exponentiates self by by, where by is a little-endian order integer exponent.

This operation is variable time with respect to the exponent. If the exponent is fixed, this operation is effectively constant time.

pub fn invert(&self) -> CtOption<Self>

Computes the multiplicative inverse of this element, failing if the element is zero.

pub const fn mul(&self, rhs: &Self) -> Self

Multiplies rhs by self, returning the result.

pub const fn sub(&self, rhs: &Self) -> Self

Subtracts rhs from self, returning the result.

pub const fn add(&self, rhs: &Self) -> Self

Adds rhs to self, returning the result.

pub const fn neg(&self) -> Self

Negates self.

pub fn hash<X>(msg: &[u8], dst: &[u8]) -> Self

where X: for<'a> ExpandMsg<'a>,

Hashes the input messages and domain separation tag to a Scalar

Trait Implementations

impl<'a, 'b> Add<&'b Scalar> for &'a Scalar

type Output = Scalar

The resulting type after applying the + operator.

fn add(self, rhs: &'b Scalar) -> Scalar

Performs the + operation.

impl<'b> Add<&'b Scalar> for Scalar

type Output = Scalar

The resulting type after applying the + operator.

fn add(self, rhs: &'b Scalar) -> Scalar

Performs the + operation.

impl<'a> Add<Scalar> for &'a Scalar

type Output = Scalar

The resulting type after applying the + operator.

fn add(self, rhs: Scalar) -> Scalar

Performs the + operation.

impl Add for Scalar

type Output = Scalar

The resulting type after applying the + operator.

fn add(self, rhs: Scalar) -> Scalar

Performs the + operation.

impl<'b> AddAssign<&'b Scalar> for Scalar

fn add_assign(&mut self, rhs: &'b Scalar)

Performs the += operation.

impl AddAssign for Scalar

fn add_assign(&mut self, rhs: Scalar)

Performs the += operation.

impl AsRef<Scalar> for Scalar

fn as_ref(&self) -> &Scalar

Converts this type into a shared reference of the (usually inferred) input type.

impl Clone for Scalar

fn clone(&self) -> Scalar

Returns a copy of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for Scalar

fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self

Select a or b according to choice.

fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice.

fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves.

impl ConstantTimeEq for Scalar

fn ct_eq(&self, other: &Self) -> Choice

Determine if two items are equal.

fn ct_ne(&self, other: &Self) -> Choice

Determine if two items are NOT equal.

impl Debug for Scalar

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

Formats the value using the given formatter.

impl Default for Scalar

fn default() -> Self

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for Scalar

fn deserialize<D>(deserializer: D) -> Result<Scalar, D::Error>

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for Scalar

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

Formats the value using the given formatter.

impl Field for Scalar

const ZERO: Self = Self::ZERO

The zero element of the field, the additive identity.

const ONE: Self = Self::ONE

The one element of the field, the multiplicative identity.

fn random(rng: impl RngCore) -> Self

Returns an element chosen uniformly at random using a user-provided RNG.

fn square(&self) -> Self

Squares this element.

fn double(&self) -> Self

Doubles this element.

fn invert(&self) -> CtOption<Self>

Computes the multiplicative inverse of this element, failing if the element is zero.

fn sqrt_ratio(num: &Self, div: &Self) -> (Choice, Self)

Computes:

fn sqrt(&self) -> CtOption<Self>

Returns the square root of the field element, if it is quadratic residue.

fn is_zero_vartime(&self) -> bool

Returns true iff this element is zero.

fn is_zero(&self) -> Choice

Returns true iff this element is zero.

fn cube(&self) -> Self

Cubes this element.

fn sqrt_alt(&self) -> (Choice, Self)

Equivalent to Self::sqrt_ratio(self, one()).

fn pow<S>(&self, exp: S) -> Self

where S: AsRef<[u64]>,

Exponentiates self by exp, where exp is a little-endian order integer exponent.

fn pow_vartime<S>(&self, exp: S) -> Self

where S: AsRef<[u64]>,

Exponentiates self by exp, where exp is a little-endian order integer exponent.

impl<'a> From<&'a Scalar> for [u8; 32]

fn from(value: &'a Scalar) -> [u8; 32]

Converts to this type from the input type.

impl From<&Scalar> for ScalarPrimitive<Bls12381G1>

fn from(value: &Scalar) -> Self

Converts to this type from the input type.

impl From<&Scalar> for Vec<u8>

Available on crate feature alloc only.

fn from(value: &Scalar) -> Self

Converts to this type from the input type.

impl From<&ScalarPrimitive<Bls12381G1>> for Scalar

fn from(value: &ScalarPrimitive<Bls12381G1>) -> Self

Converts to this type from the input type.

impl From<GenericArray<u8, UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>, B0>, B0>>> for Scalar

fn from(value: GenericArray<u8, U32>) -> Self

Converts to this type from the input type.

impl From<GenericArray<u8, UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B1>, B0>, B0>, B0>, B0>>> for Scalar

fn from(value: GenericArray<u8, U48>) -> Self

Converts to this type from the input type.

impl From<Scalar> for [u8; 32]

fn from(value: Scalar) -> [u8; 32]

Converts to this type from the input type.

impl From<Scalar> for GenericArray<u8, U32>

fn from(value: Scalar) -> Self

Converts to this type from the input type.

impl From<Scalar> for GenericArray<u8, U48>

fn from(value: Scalar) -> Self

Converts to this type from the input type.

impl From<Scalar> for ScalarPrimitive<Bls12381G1>

fn from(value: Scalar) -> Self

Converts to this type from the input type.

impl From<Scalar> for U256

fn from(value: Scalar) -> Self

Converts to this type from the input type.

impl From<Scalar> for U384

fn from(value: Scalar) -> Self

Converts to this type from the input type.

impl From<Scalar> for U512

fn from(value: Scalar) -> Self

Converts to this type from the input type.

impl From<Scalar> for Vec<u8>

Available on crate feature alloc only.

fn from(value: Scalar) -> Self

Converts to this type from the input type.

impl From<ScalarPrimitive<Bls12381G1>> for Scalar

fn from(value: ScalarPrimitive<Bls12381G1>) -> Self

Converts to this type from the input type.

impl From<Uint<crypto_bigint::::uint::U256::{constant#0}>> for Scalar

fn from(value: U256) -> Self

Converts to this type from the input type.

impl From<Uint<crypto_bigint::::uint::U384::{constant#0}>> for Scalar

fn from(value: U384) -> Self

Converts to this type from the input type.

impl From<Uint<crypto_bigint::::uint::U512::{constant#0}>> for Scalar

fn from(value: U512) -> Self

Converts to this type from the input type.

impl From<u32> for Scalar

fn from(val: u32) -> Self

Converts to this type from the input type.

impl From<u64> for Scalar

fn from(val: u64) -> Scalar

Converts to this type from the input type.

impl FromUintUnchecked for Scalar

type Uint = Uint<crypto_bigint::::uint::U384::{constant#0}>

Unsigned integer type (i.e. Curve::Uint)

fn from_uint_unchecked(uint: Self::Uint) -> Self

Instantiate scalar from an unsigned integer without checking whether the value overflows the field modulus.

impl Invert for Scalar

type Output = CtOption<Scalar>

Field element type

fn invert(&self) -> Self::Output

Invert a field element.

fn invert_vartime(&self) -> Self::Output

Invert a field element in variable time.

impl IsHigh for Scalar

fn is_high(&self) -> Choice

Is this scalar greater than or equal to n / 2?

impl LowerHex for Scalar

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

Formats the value using the given formatter.

impl<'a, 'b> Mul<&'b G1Affine> for &'a Scalar

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: &'b G1Affine) -> Self::Output

Performs the * operation.

impl<'b> Mul<&'b G1Affine> for Scalar

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: &'b G1Affine) -> G1Projective

Performs the * operation.

impl<'a, 'b> Mul<&'b G1Projective> for &'a Scalar

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: &'b G1Projective) -> Self::Output

Performs the * operation.

impl<'b> Mul<&'b G1Projective> for Scalar

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: &'b G1Projective) -> G1Projective

Performs the * operation.

impl<'a, 'b> Mul<&'b G2Affine> for &'a Scalar

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: &'b G2Affine) -> Self::Output

Performs the * operation.

impl<'b> Mul<&'b G2Affine> for Scalar

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: &'b G2Affine) -> G2Projective

Performs the * operation.

impl<'a, 'b> Mul<&'b G2Projective> for &'a Scalar

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: &'b G2Projective) -> Self::Output

Performs the * operation.

impl<'b> Mul<&'b G2Projective> for Scalar

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: &'b G2Projective) -> G2Projective

Performs the * operation.

impl<'a, 'b> Mul<&'b Scalar> for &'a G1Affine

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, other: &'b Scalar) -> Self::Output

Performs the * operation.

impl<'a, 'b> Mul<&'b Scalar> for &'a G1Projective

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, other: &'b Scalar) -> Self::Output

Performs the * operation.

impl<'a, 'b> Mul<&'b Scalar> for &'a G2Affine

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, other: &'b Scalar) -> Self::Output

Performs the * operation.

impl<'a, 'b> Mul<&'b Scalar> for &'a G2Projective

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, other: &'b Scalar) -> Self::Output

Performs the * operation.

impl<'a, 'b> Mul<&'b Scalar> for &'a Gt

type Output = Gt

The resulting type after applying the * operator.

fn mul(self, other: &'b Scalar) -> Self::Output

Performs the * operation.

impl<'a, 'b> Mul<&'b Scalar> for &'a Scalar

type Output = Scalar

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Scalar) -> Scalar

Performs the * operation.

impl<'b> Mul<&'b Scalar> for G1Affine

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Scalar) -> G1Projective

Performs the * operation.

impl<'b> Mul<&'b Scalar> for G1Projective

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Scalar) -> G1Projective

Performs the * operation.

impl<'b> Mul<&'b Scalar> for G2Affine

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Scalar) -> G2Projective

Performs the * operation.

impl<'b> Mul<&'b Scalar> for G2Projective

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Scalar) -> G2Projective

Performs the * operation.

impl<'b> Mul<&'b Scalar> for Gt

type Output = Gt

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Scalar) -> Gt

Performs the * operation.

impl<'b> Mul<&'b Scalar> for Scalar

type Output = Scalar

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Scalar) -> Scalar

Performs the * operation.

impl<'a> Mul<G1Affine> for &'a Scalar

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: G1Affine) -> G1Projective

Performs the * operation.

impl Mul<G1Affine> for Scalar

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: G1Affine) -> G1Projective

Performs the * operation.

impl<'a> Mul<G1Projective> for &'a Scalar

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: G1Projective) -> G1Projective

Performs the * operation.

impl Mul<G1Projective> for Scalar

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: G1Projective) -> G1Projective

Performs the * operation.

impl<'a> Mul<G2Affine> for &'a Scalar

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: G2Affine) -> G2Projective

Performs the * operation.

impl Mul<G2Affine> for Scalar

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: G2Affine) -> G2Projective

Performs the * operation.

impl<'a> Mul<G2Projective> for &'a Scalar

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: G2Projective) -> G2Projective

Performs the * operation.

impl Mul<G2Projective> for Scalar

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: G2Projective) -> G2Projective

Performs the * operation.

impl<'a> Mul<Scalar> for &'a G1Affine

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> G1Projective

Performs the * operation.

impl<'a> Mul<Scalar> for &'a G1Projective

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> G1Projective

Performs the * operation.

impl<'a> Mul<Scalar> for &'a G2Affine

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> G2Projective

Performs the * operation.

impl<'a> Mul<Scalar> for &'a G2Projective

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> G2Projective

Performs the * operation.

impl<'a> Mul<Scalar> for &'a Gt

type Output = Gt

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> Gt

Performs the * operation.

impl<'a> Mul<Scalar> for &'a Scalar

type Output = Scalar

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> Scalar

Performs the * operation.

impl Mul<Scalar> for G1Affine

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> G1Projective

Performs the * operation.

impl Mul<Scalar> for G1Projective

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> G1Projective

Performs the * operation.

impl Mul<Scalar> for G2Affine

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> G2Projective

Performs the * operation.

impl Mul<Scalar> for G2Projective

type Output = G2Projective

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> G2Projective

Performs the * operation.

impl Mul<Scalar> for Gt

type Output = Gt

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> Gt

Performs the * operation.

impl Mul for Scalar

type Output = Scalar

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> Scalar

Performs the * operation.

impl<'b> MulAssign<&'b Scalar> for G1Projective

fn mul_assign(&mut self, rhs: &'b Scalar)

Performs the *= operation.

impl<'b> MulAssign<&'b Scalar> for G2Projective

fn mul_assign(&mut self, rhs: &'b Scalar)

Performs the *= operation.

impl<'b> MulAssign<&'b Scalar> for Gt

fn mul_assign(&mut self, rhs: &'b Scalar)

Performs the *= operation.

impl<'b> MulAssign<&'b Scalar> for Scalar

fn mul_assign(&mut self, rhs: &'b Scalar)

Performs the *= operation.

impl MulAssign<Scalar> for G1Projective

fn mul_assign(&mut self, rhs: Scalar)

Performs the *= operation.

impl MulAssign<Scalar> for G2Projective

fn mul_assign(&mut self, rhs: Scalar)

Performs the *= operation.

impl MulAssign<Scalar> for Gt

fn mul_assign(&mut self, rhs: Scalar)

Performs the *= operation.

impl MulAssign for Scalar

fn mul_assign(&mut self, rhs: Scalar)

Performs the *= operation.

impl<'a> Neg for &'a Scalar

type Output = Scalar

The resulting type after applying the - operator.

fn neg(self) -> Scalar

Performs the unary - operation.

impl Neg for Scalar

type Output = Scalar

The resulting type after applying the - operator.

fn neg(self) -> Scalar

Performs the unary - operation.

impl PartialEq for Scalar

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

This method tests for self and other values to be equal, and is used by ==.

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.

impl PrimeField for Scalar

type Repr = [u8; 32]

The prime field can be converted back and forth into this binary representation.

fn from_repr(r: Self::Repr) -> CtOption<Self>

Attempts to convert a byte representation of a field element into an element of this prime field, failing if the input is not canonical (is not smaller than the field’s modulus).

fn to_repr(&self) -> Self::Repr

Converts an element of the prime field into the standard byte representation for this field.

fn is_odd(&self) -> Choice

Returns true iff this element is odd.

const MODULUS: &'static str = "0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001"

Modulus of the field written as a string for debugging purposes.

const NUM_BITS: u32 = 255u32

How many bits are needed to represent an element of this field.

const CAPACITY: u32 = 254u32

How many bits of information can be reliably stored in the field element.

const TWO_INV: Self = TWO_INV

Inverse of $2$ in the field.

const MULTIPLICATIVE_GENERATOR: Self = GENERATOR

A fixed multiplicative generator of modulus - 1 order. This element must also be a quadratic nonresidue.

const S: u32 = 32u32

An integer s satisfying the equation 2^s * t = modulus - 1 with t odd.

const ROOT_OF_UNITY: Self = ROOT_OF_UNITY

The 2^s root of unity.

const ROOT_OF_UNITY_INV: Self = ROOT_OF_UNITY_INV

Inverse of Self::ROOT_OF_UNITY.

const DELTA: Self = DELTA

Generator of the t-order multiplicative subgroup.

fn from_str_vartime(s: &str) -> Option<Self>

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

fn from_u128(v: u128) -> Self

Obtains a field element congruent to the integer v.

fn from_repr_vartime(repr: Self::Repr) -> Option<Self>

Attempts to convert a byte representation of a field element into an element of this prime field, failing if the input is not canonical (is not smaller than the field’s modulus).

fn is_even(&self) -> Choice

Returns true iff this element is even.

impl PrimeFieldBits for Scalar

type ReprBits = [u64; 4]

The backing store for a bit representation of a prime field element.

fn to_le_bits(&self) -> FieldBits<Self::ReprBits>

Converts an element of the prime field into a little-endian sequence of bits.

fn char_le_bits() -> FieldBits<Self::ReprBits>

Returns the bits of the field characteristic (the modulus) in little-endian order.

impl<T> Product<T> for Scalar

where T: Borrow<Scalar>,

fn product<I>(iter: I) -> Self

where I: Iterator<Item = T>,

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl Reduce<Uint<crypto_bigint::::uint::U256::{constant#0}>> for Scalar

type Bytes = GenericArray<u8, UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>, B0>, B0>>

Bytes used as input to Reduce::reduce_bytes.

fn reduce(n: U256) -> Self

Perform a modular reduction, returning a field element.

fn reduce_bytes(bytes: &Self::Bytes) -> Self

Interpret the given bytes as an integer and perform a modular reduction.

impl Reduce<Uint<crypto_bigint::::uint::U384::{constant#0}>> for Scalar

type Bytes = GenericArray<u8, UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B1>, B0>, B0>, B0>, B0>>

Bytes used as input to Reduce::reduce_bytes.

fn reduce(n: U384) -> Self

Perform a modular reduction, returning a field element.

fn reduce_bytes(bytes: &Self::Bytes) -> Self

Interpret the given bytes as an integer and perform a modular reduction.

impl Reduce<Uint<crypto_bigint::::uint::U512::{constant#0}>> for Scalar

type Bytes = GenericArray<u8, UInt<UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>, B0>, B0>, B0>>

Bytes used as input to Reduce::reduce_bytes.

fn reduce(n: U512) -> Self

Perform a modular reduction, returning a field element.

fn reduce_bytes(bytes: &Self::Bytes) -> Self

Interpret the given bytes as an integer and perform a modular reduction.

impl ScalarLe for Scalar

fn serialize<S: Serializer>(&self, s: S) -> Result<S::Ok, S::Error>

Serialize scalar as little-endian

fn deserialize<'de, D: Deserializer<'de>>(d: D) -> Result<Self, D::Error>

Deserialize into scalar from little-endian

impl Serialize for Scalar

fn serialize<S>(&self, s: S) -> Result<S::Ok, S::Error>

where S: Serializer,

Serialize this value into the given Serde serializer.

impl Shr<usize> for &Scalar

type Output = Scalar

The resulting type after applying the >> operator.

fn shr(self, rhs: usize) -> Self::Output

Performs the >> operation.

impl Shr<usize> for Scalar

type Output = Scalar

The resulting type after applying the >> operator.

fn shr(self, rhs: usize) -> Self::Output

Performs the >> operation.

impl ShrAssign<usize> for Scalar

fn shr_assign(&mut self, rhs: usize)

Performs the >>= operation.

impl<'a, 'b> Sub<&'b Scalar> for &'a Scalar

type Output = Scalar

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Scalar) -> Scalar

Performs the - operation.

impl<'b> Sub<&'b Scalar> for Scalar

type Output = Scalar

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Scalar) -> Scalar

Performs the - operation.

impl<'a> Sub<Scalar> for &'a Scalar

type Output = Scalar

The resulting type after applying the - operator.

fn sub(self, rhs: Scalar) -> Scalar

Performs the - operation.

impl Sub for Scalar

type Output = Scalar

The resulting type after applying the - operator.

fn sub(self, rhs: Scalar) -> Scalar

Performs the - operation.

impl<'b> SubAssign<&'b Scalar> for Scalar

fn sub_assign(&mut self, rhs: &'b Scalar)

Performs the -= operation.

impl SubAssign for Scalar

fn sub_assign(&mut self, rhs: Scalar)

Performs the -= operation.

impl<T> Sum<T> for Scalar

where T: Borrow<Scalar>,

fn sum<I>(iter: I) -> Self

where I: Iterator<Item = T>,

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl TryFrom<&[u8]> for Scalar

Available on crate feature alloc only.

type Error = String

The type returned in the event of a conversion error.

fn try_from(value: &[u8]) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<&Vec<u8>> for Scalar

Available on crate feature alloc only.

type Error = String

The type returned in the event of a conversion error.

fn try_from(value: &Vec<u8>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Box<[u8]>> for Scalar

Available on crate feature alloc only.

type Error = String

The type returned in the event of a conversion error.

fn try_from(value: Box<[u8]>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Vec<u8>> for Scalar

Available on crate feature alloc only.

type Error = String

The type returned in the event of a conversion error.

fn try_from(value: Vec<u8>) -> Result<Self, Self::Error>

Performs the conversion.

impl UpperHex for Scalar

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

Formats the value using the given formatter.

impl Copy for Scalar

impl DefaultIsZeroes for Scalar

impl Eq for Scalar