Struct G1Projective 

pub struct G1Projective { /* private fields */ }

G₁ projective point representation.

Implementations

impl G1Projective

pub fn identity() -> G1Projective

Point at infinity.

pub fn generator() -> G1Projective

Fixed generator.

pub fn random(rng: impl RngCore) -> Self

Random point generation.

pub fn msm_vartime(points: &[G1Affine], scalars: &[Scalar]) -> Result<Self>

Multi-scalar multiplication using a variable-time Pippenger’s algorithm.

This method is faster for non-sensitive operations where timing side-channels are not a concern, as it contains input-dependent branches.

Panics

Panics if points.len() != scalars.len().

pub fn msm(points: &[G1Affine], scalars: &[Scalar]) -> Result<Self>

Multi-scalar multiplication using a constant-time Pippenger’s algorithm.

This method is suitable for cryptographic operations where resistance to timing side-channels is required.

Panics

Panics if points.len() != scalars.len().

pub fn double(&self) -> G1Projective

Point doubling.

pub fn add(&self, rhs: &G1Projective) -> G1Projective

Point addition.

pub fn add_mixed(&self, rhs: &G1Affine) -> G1Projective

Mixed addition with affine point.

pub fn clear_cofactor(&self) -> G1Projective

Clear cofactor using [x - 1] method.

pub fn batch_normalize(p: &[Self], q: &mut [G1Affine])

Batch affine conversion.

pub fn is_identity(&self) -> Choice

Check if point at infinity.

pub fn is_on_curve(&self) -> Choice

Curve membership check.

pub fn from_bytes(bytes: &[u8; 48]) -> CtOption<Self>

Deserialize from compressed bytes.

pub fn from_bytes_unchecked(bytes: &[u8; 48]) -> CtOption<Self>

Deserialize without validation.

pub fn from_bytes_validated(bytes: &[u8]) -> Result<Self>

Deserialize from compressed bytes with dcrypt error handling and validation.

pub fn to_bytes(&self) -> [u8; 48]

Serialize to compressed bytes.

Trait Implementations

impl<'a, 'b> Add<&'b G1Affine> for &'a G1Projective

type Output = G1Projective

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'b> Add<&'b G1Affine> for G1Projective

type Output = G1Projective

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a, 'b> Add<&'b G1Projective> for &'a G1Affine

type Output = G1Projective

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a, 'b> Add<&'b G1Projective> for &'a G1Projective

type Output = G1Projective

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'b> Add<&'b G1Projective> for G1Affine

type Output = G1Projective

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'b> Add<&'b G1Projective> for G1Projective

type Output = G1Projective

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<G1Affine> for &'a G1Projective

type Output = G1Projective

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add<G1Affine> for G1Projective

type Output = G1Projective

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<G1Projective> for &'a G1Affine

type Output = G1Projective

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<G1Projective> for &'a G1Projective

type Output = G1Projective

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add<G1Projective> for G1Affine

type Output = G1Projective

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add for G1Projective

type Output = G1Projective

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'b> AddAssign<&'b G1Affine> for G1Projective

fn add_assign(&mut self, rhs: &'b G1Affine)

Performs the += operation.

impl<'b> AddAssign<&'b G1Projective> for G1Projective

fn add_assign(&mut self, rhs: &'b G1Projective)

Performs the += operation.

impl AddAssign<G1Affine> for G1Projective

fn add_assign(&mut self, rhs: G1Affine)

Performs the += operation.

impl AddAssign for G1Projective

fn add_assign(&mut self, rhs: G1Projective)

Performs the += operation.

impl Clone for G1Projective

fn clone(&self) -> G1Projective

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for G1Projective

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 G1Projective

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 G1Projective

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

Formats the value using the given formatter.

impl Default for G1Projective

fn default() -> G1Projective

Returns the “default value” for a type.

impl Display for G1Projective

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

Formats the value using the given formatter.

impl<'a> From<&'a G1Affine> for G1Projective

fn from(p: &'a G1Affine) -> G1Projective

Converts to this type from the input type.

impl<'a> From<&'a G1Projective> for G1Affine

fn from(p: &'a G1Projective) -> G1Affine

Converts to this type from the input type.

impl From<G1Affine> for G1Projective

fn from(p: G1Affine) -> G1Projective

Converts to this type from the input type.

impl From<G1Projective> for G1Affine

fn from(p: G1Projective) -> G1Affine

Converts to this type from the input type.

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

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

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<'a> Neg for &'a G1Projective

type Output = G1Projective

The resulting type after applying the - operator.

fn neg(self) -> G1Projective

Performs the unary - operation.

impl Neg for G1Projective

type Output = G1Projective

The resulting type after applying the - operator.

fn neg(self) -> G1Projective

Performs the unary - operation.

impl PartialEq for G1Projective

fn eq(&self, other: &Self) -> 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<'a, 'b> Sub<&'b G1Affine> for &'a G1Projective

type Output = G1Projective

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'b> Sub<&'b G1Affine> for G1Projective

type Output = G1Projective

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a, 'b> Sub<&'b G1Projective> for &'a G1Affine

type Output = G1Projective

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a, 'b> Sub<&'b G1Projective> for &'a G1Projective

type Output = G1Projective

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'b> Sub<&'b G1Projective> for G1Affine

type Output = G1Projective

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'b> Sub<&'b G1Projective> for G1Projective

type Output = G1Projective

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<G1Affine> for &'a G1Projective

type Output = G1Projective

The resulting type after applying the - operator.

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

Performs the - operation.

impl Sub<G1Affine> for G1Projective

type Output = G1Projective

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<G1Projective> for &'a G1Affine

type Output = G1Projective

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<G1Projective> for &'a G1Projective

type Output = G1Projective

The resulting type after applying the - operator.

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

Performs the - operation.

impl Sub<G1Projective> for G1Affine

type Output = G1Projective

The resulting type after applying the - operator.

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

Performs the - operation.

impl Sub for G1Projective

type Output = G1Projective

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'b> SubAssign<&'b G1Affine> for G1Projective

fn sub_assign(&mut self, rhs: &'b G1Affine)

Performs the -= operation.

impl<'b> SubAssign<&'b G1Projective> for G1Projective

fn sub_assign(&mut self, rhs: &'b G1Projective)

Performs the -= operation.

impl SubAssign<G1Affine> for G1Projective

fn sub_assign(&mut self, rhs: G1Affine)

Performs the -= operation.

impl SubAssign for G1Projective

fn sub_assign(&mut self, rhs: G1Projective)

Performs the -= operation.

impl<T> Sum<T> for G1Projective

where T: Borrow<G1Projective>,

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

where I: Iterator<Item = T>,

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

impl Copy for G1Projective

impl DefaultIsZeroes for G1Projective

impl Eq for G1Projective