Struct WrappedScalar 

pub struct WrappedScalar(pub Scalar);

Wraps a curve25519 scalar

Tuple Fields

0: Scalar

Trait Implementations

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

type Output = WrappedScalar

The resulting type after applying the + operator.

fn add( self, rhs: &'b WrappedScalar, ) -> <&'a WrappedScalar as Add<&'b WrappedScalar>>::Output

Performs the + operation.

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

type Output = WrappedScalar

The resulting type after applying the + operator.

fn add( self, rhs: &'b WrappedScalar, ) -> <WrappedScalar as Add<&'b WrappedScalar>>::Output

Performs the + operation.

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

type Output = WrappedScalar

The resulting type after applying the + operator.

fn add( self, rhs: WrappedScalar, ) -> <&'a WrappedScalar as Add<WrappedScalar>>::Output

Performs the + operation.

impl Add for WrappedScalar

type Output = WrappedScalar

The resulting type after applying the + operator.

fn add(self, rhs: WrappedScalar) -> <WrappedScalar as Add>::Output

Performs the + operation.

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

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

Performs the += operation.

impl AddAssign for WrappedScalar

fn add_assign(&mut self, rhs: WrappedScalar)

Performs the += operation.

impl Clone for WrappedScalar

fn clone(&self) -> WrappedScalar

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for WrappedScalar

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

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 WrappedScalar

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

Determine if two items are equal.

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

Determine if two items are NOT equal.

impl Debug for WrappedScalar

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

Formats the value using the given formatter.

impl Default for WrappedScalar

fn default() -> WrappedScalar

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for WrappedScalar

Available on crate feature serde only.

fn deserialize<D>( deserializer: D, ) -> Result<WrappedScalar, <D as Deserializer<'de>>::Error>

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Field for WrappedScalar

const ZERO: WrappedScalar

The zero element of the field, the additive identity.

const ONE: WrappedScalar

The one element of the field, the multiplicative identity.

fn random(rng: impl RngCore) -> WrappedScalar

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

fn square(&self) -> WrappedScalar

Squares this element.

fn double(&self) -> WrappedScalar

Doubles this element.

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

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

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

Computes:

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 sqrt(&self) -> CtOption<Self>

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

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 From<Scalar> for WrappedScalar

fn from(s: Scalar) -> WrappedScalar

Converts to this type from the input type.

impl From<u64> for WrappedScalar

fn from(d: u64) -> WrappedScalar

Converts to this type from the input type.

impl FromUintUnchecked for WrappedScalar

Available on crate feature bigint only.

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

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

fn from_uint_unchecked( n: Uint<crypto_bigint::::uint::U256::{constant#0}>, ) -> WrappedScalar

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

impl FromUniformBytes<64> for WrappedScalar

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

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

impl Invert for WrappedScalar

type Output = WrappedScalar

Field element type

fn invert(&self) -> WrappedScalar

Invert a field element.

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

Invert a field element in variable time.

impl LowerHex for WrappedScalar

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

Formats the value using the given formatter.

impl<'a, 'b> Mul<&'b WrappedScalar> for &'a WrappedEdwards

type Output = WrappedEdwards

The resulting type after applying the * operator.

fn mul( self, rhs: &'b WrappedScalar, ) -> <&'a WrappedEdwards as Mul<&'b WrappedScalar>>::Output

Performs the * operation.

impl<'a, 'b> Mul<&'b WrappedScalar> for &'a WrappedRistretto

type Output = WrappedRistretto

The resulting type after applying the * operator.

fn mul( self, rhs: &'b WrappedScalar, ) -> <&'a WrappedRistretto as Mul<&'b WrappedScalar>>::Output

Performs the * operation.

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

type Output = WrappedScalar

The resulting type after applying the * operator.

fn mul( self, rhs: &'b WrappedScalar, ) -> <&'a WrappedScalar as Mul<&'b WrappedScalar>>::Output

Performs the * operation.

impl<'b> Mul<&'b WrappedScalar> for WrappedEdwards

type Output = WrappedEdwards

The resulting type after applying the * operator.

fn mul( self, rhs: &'b WrappedScalar, ) -> <WrappedEdwards as Mul<&'b WrappedScalar>>::Output

Performs the * operation.

impl<'b> Mul<&'b WrappedScalar> for WrappedRistretto

type Output = WrappedRistretto

The resulting type after applying the * operator.

fn mul( self, rhs: &'b WrappedScalar, ) -> <WrappedRistretto as Mul<&'b WrappedScalar>>::Output

Performs the * operation.

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

type Output = WrappedScalar

The resulting type after applying the * operator.

fn mul( self, rhs: &'b WrappedScalar, ) -> <WrappedScalar as Mul<&'b WrappedScalar>>::Output

Performs the * operation.

impl<'a> Mul<WrappedScalar> for &'a WrappedEdwards

type Output = WrappedEdwards

The resulting type after applying the * operator.

fn mul( self, rhs: WrappedScalar, ) -> <&'a WrappedEdwards as Mul<WrappedScalar>>::Output

Performs the * operation.

impl<'a> Mul<WrappedScalar> for &'a WrappedRistretto

type Output = WrappedRistretto

The resulting type after applying the * operator.

fn mul( self, rhs: WrappedScalar, ) -> <&'a WrappedRistretto as Mul<WrappedScalar>>::Output

Performs the * operation.

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

type Output = WrappedScalar

The resulting type after applying the * operator.

fn mul( self, rhs: WrappedScalar, ) -> <&'a WrappedScalar as Mul<WrappedScalar>>::Output

Performs the * operation.

impl Mul<WrappedScalar> for WrappedEdwards

type Output = WrappedEdwards

The resulting type after applying the * operator.

fn mul( self, rhs: WrappedScalar, ) -> <WrappedEdwards as Mul<WrappedScalar>>::Output

Performs the * operation.

impl Mul<WrappedScalar> for WrappedRistretto

type Output = WrappedRistretto

The resulting type after applying the * operator.

fn mul( self, rhs: WrappedScalar, ) -> <WrappedRistretto as Mul<WrappedScalar>>::Output

Performs the * operation.

impl Mul for WrappedScalar

type Output = WrappedScalar

The resulting type after applying the * operator.

fn mul(self, rhs: WrappedScalar) -> <WrappedScalar as Mul>::Output

Performs the * operation.

impl<'b> MulAssign<&'b WrappedScalar> for WrappedEdwards

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

Performs the *= operation.

impl<'b> MulAssign<&'b WrappedScalar> for WrappedRistretto

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

Performs the *= operation.

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

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

Performs the *= operation.

impl MulAssign<WrappedScalar> for WrappedEdwards

fn mul_assign(&mut self, rhs: WrappedScalar)

Performs the *= operation.

impl MulAssign<WrappedScalar> for WrappedRistretto

fn mul_assign(&mut self, rhs: WrappedScalar)

Performs the *= operation.

impl MulAssign for WrappedScalar

fn mul_assign(&mut self, rhs: WrappedScalar)

Performs the *= operation.

impl<'a> Neg for &'a WrappedScalar

type Output = WrappedScalar

The resulting type after applying the - operator.

fn neg(self) -> <&'a WrappedScalar as Neg>::Output

Performs the unary - operation.

impl Neg for WrappedScalar

type Output = WrappedScalar

The resulting type after applying the - operator.

fn neg(self) -> <WrappedScalar as Neg>::Output

Performs the unary - operation.

impl PartialEq for WrappedScalar

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

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PrimeField for WrappedScalar

const MODULUS: &'static str = <Scalar as PrimeField>::MODULUS

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

const NUM_BITS: u32 = 253u32

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

const CAPACITY: u32 = 252u32

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

const TWO_INV: WrappedScalar

Inverse of $2$ in the field.

const MULTIPLICATIVE_GENERATOR: WrappedScalar

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

const S: u32 = 2u32

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

const ROOT_OF_UNITY: WrappedScalar

The 2^s root of unity.

const ROOT_OF_UNITY_INV: WrappedScalar

Inverse of Self::ROOT_OF_UNITY.

const DELTA: WrappedScalar

Generator of the t-order multiplicative subgroup.

type Repr = <Scalar as PrimeField>::Repr

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

fn from_repr( bytes: <WrappedScalar as PrimeField>::Repr, ) -> CtOption<WrappedScalar>

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) -> <WrappedScalar as PrimeField>::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.

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 WrappedScalar

type ReprBits = [u8; 32]

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

fn to_le_bits(&self) -> BitArray<<WrappedScalar as PrimeFieldBits>::ReprBits>

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

fn char_le_bits() -> BitArray<<WrappedScalar as PrimeFieldBits>::ReprBits>

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

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

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

where I: Iterator<Item = &'a WrappedScalar>,

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

impl Product for WrappedScalar

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

where I: Iterator<Item = WrappedScalar>,

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

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

Available on crate feature bigint only.

type Bytes = [u8; 32]

Bytes used as input to Reduce::reduce_bytes.

fn reduce(n: Uint<crypto_bigint::::uint::U256::{constant#0}>) -> WrappedScalar

Perform a modular reduction, returning a field element.

fn reduce_bytes( bytes: &<WrappedScalar as Reduce<Uint<crypto_bigint::::uint::U256::{constant#0}>>>::Bytes, ) -> WrappedScalar

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

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

Available on crate feature bigint only.

type Bytes = [u8; 32]

Bytes used as input to Reduce::reduce_bytes.

fn reduce(n: Uint<crypto_bigint::::uint::U512::{constant#0}>) -> WrappedScalar

Perform a modular reduction, returning a field element.

fn reduce_bytes( bytes: &<WrappedScalar as Reduce<Uint<crypto_bigint::::uint::U512::{constant#0}>>>::Bytes, ) -> WrappedScalar

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

impl Serialize for WrappedScalar

Available on crate feature serde only.

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

where S: Serializer,

Serialize this value into the given Serde serializer.

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

type Output = WrappedScalar

The resulting type after applying the - operator.

fn sub( self, rhs: &'b WrappedScalar, ) -> <&'a WrappedScalar as Sub<&'b WrappedScalar>>::Output

Performs the - operation.

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

type Output = WrappedScalar

The resulting type after applying the - operator.

fn sub( self, rhs: &'b WrappedScalar, ) -> <WrappedScalar as Sub<&'b WrappedScalar>>::Output

Performs the - operation.

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

type Output = WrappedScalar

The resulting type after applying the - operator.

fn sub( self, rhs: WrappedScalar, ) -> <&'a WrappedScalar as Sub<WrappedScalar>>::Output

Performs the - operation.

impl Sub for WrappedScalar

type Output = WrappedScalar

The resulting type after applying the - operator.

fn sub(self, rhs: WrappedScalar) -> <WrappedScalar as Sub>::Output

Performs the - operation.

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

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

Performs the -= operation.

impl SubAssign for WrappedScalar

fn sub_assign(&mut self, rhs: WrappedScalar)

Performs the -= operation.

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

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

where I: Iterator<Item = &'a WrappedScalar>,

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

impl Sum for WrappedScalar

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

where I: Iterator<Item = WrappedScalar>,

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

impl UpperHex for WrappedScalar

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

Formats the value using the given formatter.

impl Copy for WrappedScalar

impl DefaultIsZeroes for WrappedScalar

Available on crate feature zeroize only.

impl Eq for WrappedScalar