Struct Scalar 

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

Scalars are elements in the finite field modulo n.

Trait impls

Much of the important functionality of scalars is provided by traits from the ff crate, which is re-exported as k256::elliptic_curve::ff:

• Field - represents elements of finite fields and provides:
  • Field::random - generate a random scalar
  • double, square, and invert operations
  • Bounds for Add, Sub, Mul, and Neg (as well as *Assign equivalents)
  • Bounds for ConditionallySelectable from the subtle crate
• PrimeField - represents elements of prime fields and provides:
  • from_repr/to_repr for converting field elements from/to big integers.
  • multiplicative_generator and root_of_unity constants.

Please see the documentation for the relevant traits for more information.

serde support

When the serde feature of this crate is enabled, the Serialize and Deserialize traits are impl’d for this type.

The serialization is a fixed-width big endian encoding. When used with textual formats, the binary data is encoded as hexadecimal.

Implementations

impl Scalar

pub const ZERO: Self

Zero scalar.

pub const ONE: Self

Multiplicative identity.

pub fn is_zero(&self) -> Choice

Checks if the scalar is zero.

pub fn to_bytes(&self) -> FieldBytes

Returns the SEC1 encoding of this scalar.

pub const fn negate(&self) -> Self

Negates the scalar.

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

Returns self + rhs mod n.

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

Returns self - rhs mod n.

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

Modulo multiplies two scalars.

pub fn square(&self) -> Self

Modulo squares the scalar.

pub fn shr_vartime(&self, shift: u32) -> Scalar

Right shifts the scalar.

Note: not constant-time with respect to the shift parameter.

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

Returns the multiplicative inverse of self, if self is non-zero.

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

Returns the multiplicative inverse of self in variable-time, if self is non-zero.

pub fn generate_biased_from_rng<R: CryptoRng + ?Sized>(rng: &mut R) -> Self

Returns a (nearly) uniformly-random scalar, generated in constant time.

pub fn try_generate_biased_from_rng<R: TryCryptoRng + ?Sized>( rng: &mut R, ) -> Result<Self, R::Error>

Returns a (nearly) uniformly-random scalar, generated in constant time.

Errors

Propagates R::Error on RNG failure.

Trait Implementations

impl Add for Scalar

type Output = Scalar

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add<&Scalar> for &Scalar

type Output = Scalar

The resulting type after applying the + operator.

fn add(self, other: &Scalar) -> Scalar

Performs the + operation.

impl Add<&Scalar> for Scalar

type Output = Scalar

The resulting type after applying the + operator.

fn add(self, other: &Scalar) -> Scalar

Performs the + operation.

impl Add<Scalar> for &Scalar

type Output = Scalar

The resulting type after applying the + operator.

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

Performs the + operation.

impl AddAssign for Scalar

fn add_assign(&mut self, rhs: Scalar)

Performs the += operation.

impl AddAssign<&Scalar> 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 duplicate 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 Copy for Scalar

impl CtEq for Scalar

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

Determine if self is equal to other in constant-time.

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

Determine if self is NOT equal to other in constant-time.

impl CtSelect for Scalar

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

Select between self and other based on choice, returning a copy of the value.

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

Conditionally swap self and other if choice is Choice::TRUE.

impl Debug for Scalar

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

Formats the value using the given formatter.

impl Default for Scalar

fn default() -> Scalar

Returns the “default value” for a type.

impl DefaultIsZeroes for Scalar

impl Eq for Scalar

impl Field for Scalar

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

Tonelli-Shank’s algorithm for q mod 16 = 1 https://eprint.iacr.org/2012/685.pdf (page 12, algorithm 5)

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 try_random<R: TryRng + ?Sized>(rng: &mut R) -> Result<Self, R::Error>

Returns an element chosen uniformly at random using a user-provided fallible 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 random<R>(rng: &mut R) -> Self

where R: Rng + ?Sized,

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

fn is_zero(&self) -> Choice

Returns true iff this element is zero.

fn is_zero_vartime(&self) -> bool

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 FieldExt for Scalar

impl From<&NonZeroScalar<Secp256k1>> for Scalar

fn from(scalar: &NonZeroScalar) -> Self

Converts to this type from the input type.

impl From<&Scalar> for ScalarValue<Secp256k1>

fn from(scalar: &Scalar) -> ScalarValue<Secp256k1>

Converts to this type from the input type.

impl From<&Scalar> for FieldBytes

fn from(scalar: &Scalar) -> Self

Converts to this type from the input type.

impl From<&Scalar> for U256

fn from(scalar: &Scalar) -> Self

Converts to this type from the input type.

impl From<&ScalarValue<Secp256k1>> for Scalar

fn from(scalar: &ScalarValue<Secp256k1>) -> Scalar

Converts to this type from the input type.

impl From<NonZeroScalar<Secp256k1>> for Scalar

fn from(scalar: NonZeroScalar) -> Self

Converts to this type from the input type.

impl From<Scalar> for ScalarValue<Secp256k1>

fn from(scalar: Scalar) -> ScalarValue<Secp256k1>

Converts to this type from the input type.

impl From<Scalar> for FieldBytes

fn from(scalar: Scalar) -> Self

Converts to this type from the input type.

impl From<Scalar> for U256

fn from(scalar: Scalar) -> Self

Converts to this type from the input type.

impl From<ScalarValue<Secp256k1>> for Scalar

fn from(scalar: ScalarValue<Secp256k1>) -> Scalar

Converts to this type from the input type.

impl From<u32> for Scalar

fn from(k: u32) -> Self

Converts to this type from the input type.

impl From<u64> for Scalar

fn from(k: u64) -> Self

Converts to this type from the input type.

impl From<u128> for Scalar

fn from(k: u128) -> Self

Converts to this type from the input type.

impl FromUintUnchecked for Scalar

type Uint = Uint<crypto_bigint::::uint::U256::{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 FromUniformBytes<64> for Scalar

fn from_uniform_bytes(bytes: &[u8; 64]) -> Self

Returns a field element that is congruent to the provided little endian unsigned byte representation of an integer.

impl Generate for Scalar

fn try_generate_from_rng<R: TryCryptoRng + ?Sized>( rng: &mut R, ) -> Result<Self, R::Error>

Generate random key using the provided TryCryptoRng.

fn generate_from_rng<R>(rng: &mut R) -> Self

where R: CryptoRng + ?Sized,

Generate random key using the provided CryptoRng.

fn try_generate() -> Result<Self, Error>

Randomly generate a value of this type using the system’s ambient cryptographically secure random number generator.

fn generate() -> Self

Randomly generate a value of this type using the system’s ambient cryptographically secure random number generator.

impl Invert for Scalar

type Output = CtOption<Scalar>

Output of the inversion.

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

Computes the inverse.

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

Computes the inverse in variable-time.

impl IsHigh for Scalar

fn is_high(&self) -> Choice

Is this scalar greater than n / 2?

impl Mul for Scalar

type Output = Scalar

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<&<Secp256k1 as CurveArithmetic>::AffinePoint> for Scalar

type Output = <Secp256k1 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: &AffinePoint<Secp256k1>) -> ProjectivePoint<Secp256k1>

Performs the * operation.

impl Mul<&<Secp256k1 as CurveArithmetic>::AffinePoint> for &Scalar

type Output = <Secp256k1 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: &AffinePoint<Secp256k1>) -> ProjectivePoint<Secp256k1>

Performs the * operation.

impl Mul<&<Secp256k1 as CurveArithmetic>::ProjectivePoint> for Scalar

type Output = <Secp256k1 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: &ProjectivePoint<Secp256k1>) -> ProjectivePoint<Secp256k1>

Performs the * operation.

impl Mul<&<Secp256k1 as CurveArithmetic>::ProjectivePoint> for &Scalar

type Output = <Secp256k1 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: &ProjectivePoint<Secp256k1>) -> ProjectivePoint<Secp256k1>

Performs the * operation.

impl Mul<&Scalar> for AffinePoint

type Output = ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, scalar: &Scalar) -> ProjectivePoint

Performs the * operation.

impl Mul<&Scalar> for &ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, other: &Scalar) -> ProjectivePoint

Performs the * operation.

impl Mul<&Scalar> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, other: &Scalar) -> ProjectivePoint

Performs the * operation.

impl Mul<&Scalar> for &Scalar

type Output = Scalar

The resulting type after applying the * operator.

fn mul(self, other: &Scalar) -> Scalar

Performs the * operation.

impl Mul<&Scalar> for Scalar

type Output = Scalar

The resulting type after applying the * operator.

fn mul(self, other: &Scalar) -> Scalar

Performs the * operation.

impl Mul<<Secp256k1 as CurveArithmetic>::AffinePoint> for Scalar

type Output = <Secp256k1 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: AffinePoint<Secp256k1>) -> ProjectivePoint<Secp256k1>

Performs the * operation.

impl Mul<<Secp256k1 as CurveArithmetic>::AffinePoint> for &Scalar

type Output = <Secp256k1 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: AffinePoint<Secp256k1>) -> ProjectivePoint<Secp256k1>

Performs the * operation.

impl Mul<<Secp256k1 as CurveArithmetic>::ProjectivePoint> for Scalar

type Output = <Secp256k1 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: ProjectivePoint<Secp256k1>) -> ProjectivePoint<Secp256k1>

Performs the * operation.

impl Mul<<Secp256k1 as CurveArithmetic>::ProjectivePoint> for &Scalar

type Output = <Secp256k1 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: ProjectivePoint<Secp256k1>) -> ProjectivePoint<Secp256k1>

Performs the * operation.

impl Mul<Scalar> for AffinePoint

type Output = ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, scalar: Scalar) -> ProjectivePoint

Performs the * operation.

impl Mul<Scalar> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, other: Scalar) -> ProjectivePoint

Performs the * operation.

impl MulAssign for Scalar

fn mul_assign(&mut self, rhs: Scalar)

Performs the *= operation.

impl MulAssign<&Scalar> for ProjectivePoint

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

Performs the *= operation.

impl MulAssign<&Scalar> for Scalar

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

Performs the *= operation.

impl MulAssign<Scalar> for ProjectivePoint

fn mul_assign(&mut self, rhs: Scalar)

Performs the *= operation.

impl MulVartime<&<Secp256k1 as CurveArithmetic>::AffinePoint> for Scalar

fn mul_vartime(self, rhs: &AffinePoint<Secp256k1>) -> ProjectivePoint<Secp256k1>

Multiply self by rhs in variable-time.

impl MulVartime<&<Secp256k1 as CurveArithmetic>::AffinePoint> for &Scalar

fn mul_vartime(self, rhs: &AffinePoint<Secp256k1>) -> ProjectivePoint<Secp256k1>

Multiply self by rhs in variable-time.

impl MulVartime<&<Secp256k1 as CurveArithmetic>::ProjectivePoint> for Scalar

fn mul_vartime( self, rhs: &ProjectivePoint<Secp256k1>, ) -> ProjectivePoint<Secp256k1>

Multiply self by rhs in variable-time.

impl MulVartime<&<Secp256k1 as CurveArithmetic>::ProjectivePoint> for &Scalar

fn mul_vartime( self, rhs: &ProjectivePoint<Secp256k1>, ) -> ProjectivePoint<Secp256k1>

Multiply self by rhs in variable-time.

impl MulVartime<&Scalar> for AffinePoint

fn mul_vartime(self, scalar: &Scalar) -> ProjectivePoint

Multiply self by rhs in variable-time.

impl MulVartime<&Scalar> for &ProjectivePoint

fn mul_vartime(self, other: &Scalar) -> ProjectivePoint

Multiply self by rhs in variable-time.

impl MulVartime<&Scalar> for ProjectivePoint

fn mul_vartime(self, other: &Scalar) -> ProjectivePoint

Multiply self by rhs in variable-time.

impl MulVartime<<Secp256k1 as CurveArithmetic>::AffinePoint> for Scalar

fn mul_vartime(self, rhs: AffinePoint<Secp256k1>) -> ProjectivePoint<Secp256k1>

Multiply self by rhs in variable-time.

impl MulVartime<<Secp256k1 as CurveArithmetic>::AffinePoint> for &Scalar

fn mul_vartime(self, rhs: AffinePoint<Secp256k1>) -> ProjectivePoint<Secp256k1>

Multiply self by rhs in variable-time.

impl MulVartime<<Secp256k1 as CurveArithmetic>::ProjectivePoint> for Scalar

fn mul_vartime( self, rhs: ProjectivePoint<Secp256k1>, ) -> ProjectivePoint<Secp256k1>

Multiply self by rhs in variable-time.

impl MulVartime<<Secp256k1 as CurveArithmetic>::ProjectivePoint> for &Scalar

fn mul_vartime( self, rhs: ProjectivePoint<Secp256k1>, ) -> ProjectivePoint<Secp256k1>

Multiply self by rhs in variable-time.

impl MulVartime<Scalar> for AffinePoint

fn mul_vartime(self, scalar: Scalar) -> ProjectivePoint

Multiply self by rhs in variable-time.

impl MulVartime<Scalar> for ProjectivePoint

fn mul_vartime(self, other: Scalar) -> ProjectivePoint

Multiply self by rhs in variable-time.

impl Neg for 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 Ord for Scalar

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

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl PartialEq for Scalar

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

Equality operator ==.

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=.

impl PartialOrd for Scalar

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

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl PrimeField for Scalar

fn from_repr(bytes: FieldBytes) -> CtOption<Self>

Attempts to parse the given byte array as an SEC1-encoded scalar.

Returns None if the byte array does not contain a big-endian integer in the range [0, p).

const MODULUS: &'static str = ORDER_HEX

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

const NUM_BITS: u32 = 256

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

const CAPACITY: u32 = 255

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

const TWO_INV: Self

Inverse of $2$ in the field.

const MULTIPLICATIVE_GENERATOR: Self

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

const S: u32 = 6

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

const ROOT_OF_UNITY: Self

The 2^s root of unity.

const ROOT_OF_UNITY_INV: Self

Inverse of Self::ROOT_OF_UNITY.

const DELTA: Self

Generator of the t-order multiplicative subgroup.

type Repr = Array<u8, <Secp256k1 as Curve>::FieldBytesSize>

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

fn to_repr(&self) -> FieldBytes

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.

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 PrimeFieldExt for Scalar

const REPR_ENDIANNESS: ByteOrder = ByteOrder::BigEndian

Endianness used when encoding ff::PrimeField::Repr.

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

Encode self using a big endian representation.

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

Encode self using a little endian representation.

impl Product for Scalar

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

Takes an iterator and generates Self from the elements by multiplying the items.

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

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

Takes an iterator and generates Self from the elements by multiplying the items.

impl Reduce<Array<u8, <Secp256k1 as Curve>::FieldBytesSize>> for Scalar

fn reduce(bytes: &FieldBytes) -> Self

Reduces self modulo Modulus.

impl Reduce<Array<u8, UInt<UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>, B0>, B0>, B0>>> for Scalar

fn reduce(bytes: &WideBytes) -> Self

Reduces self modulo Modulus.

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

fn reduce(w: &U256) -> Self

Reduces self modulo Modulus.

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

fn reduce(w: &U512) -> Self

Reduces self modulo Modulus.

impl ReduceNonZero<Array<u8, <Secp256k1 as Curve>::FieldBytesSize>> for Scalar

fn reduce_nonzero(bytes: &FieldBytes) -> Self

Perform a modular reduction, returning a field element.

impl ReduceNonZero<Array<u8, UInt<UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>, B0>, B0>, B0>>> for Scalar

fn reduce_nonzero(bytes: &WideBytes) -> Self

Perform a modular reduction, returning a field element.

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

fn reduce_nonzero(w: &U256) -> Self

Perform a modular reduction, returning a field element.

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

fn reduce_nonzero(w: &U512) -> Self

Perform a modular reduction, returning a field element.

impl Retrieve for Scalar

type Output = Uint<crypto_bigint::::uint::U256::{constant#0}>

The original type.

fn retrieve(&self) -> U256

Convert the number back from the optimized representation.

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 Sub for Scalar

type Output = Scalar

The resulting type after applying the - operator.

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

Performs the - operation.

impl Sub<&Scalar> for &Scalar

type Output = Scalar

The resulting type after applying the - operator.

fn sub(self, other: &Scalar) -> Scalar

Performs the - operation.

impl Sub<&Scalar> for Scalar

type Output = Scalar

The resulting type after applying the - operator.

fn sub(self, other: &Scalar) -> Scalar

Performs the - operation.

impl SubAssign for Scalar

fn sub_assign(&mut self, rhs: Scalar)

Performs the -= operation.

impl SubAssign<&Scalar> for Scalar

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

Performs the -= operation.

impl Sum for Scalar

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

Takes an iterator and generates Self from the elements by “summing up” the items.

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

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

Takes an iterator and generates Self from the elements by “summing up” the items.

impl TryFrom<Scalar> for NonZeroScalar

The constant-time alternative is available at NonZeroScalar::new().

type Error = Error

The type returned in the event of a conversion error.

fn try_from(scalar: Scalar) -> Result<Self, Error>

Performs the conversion.

impl WnafSize for Scalar

type StorageSize = <Const<{ (Self::NUM_BITS + 1) as usize }> as ToUInt>::Output

Number of digits in the wNAF representation.