Struct Bucket 

pub struct Bucket<P: SWCurveConfig> {
    pub x: P::BaseField,
    pub y: P::BaseField,
    pub zz: P::BaseField,
    pub zzz: P::BaseField,
}

Extended Jacobian coordinates for a point on an elliptic curve in short Weierstrass form, over the base field P::BaseField. This struct implements arithmetic via the extended Jacobian arithmetic outlined here: https://www.hyperelliptic.org/EFD/g1p/auto-shortw-xyzz.html

Fields

x: P::BaseField

X / ZZ projection of the affine X

y: P::BaseField

Y / ZZZ projection of the affine Y

zz: P::BaseField

Bucket multiplicative inverse. Will be 0 only at infinity.

zzz: P::BaseField

Bucket multiplicative inverse. Will be 0 only at infinity.

Implementations

impl<P: SWCurveConfig> Bucket<P>

pub const ZERO: Self

pub const fn new_unchecked( x: P::BaseField, y: P::BaseField, zz: P::BaseField, zzz: P::BaseField, ) -> Self

Constructs a new group element without checking whether the coordinates specify a point in the subgroup.

pub fn is_zero(&self) -> bool

Checks whether self.z.is_zero().

pub fn double_in_place(&mut self)

Trait Implementations

impl<'a, P: SWCurveConfig> Add<&'a Bucket<P>> for Bucket<P>

type Output = Bucket<P>

The resulting type after applying the + operator.

fn add(self, other: &'a Self) -> Self

Performs the + operation.

impl<'a, P: SWCurveConfig> AddAssign<&'a Bucket<P>> for Bucket<P>

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

Performs the += operation.

impl<'a, P: SWCurveConfig> AddAssign<&'a Bucket<P>> for Projective<P>

fn add_assign(&mut self, other: &'a Bucket<P>)

Performs the += operation.

impl<P: SWCurveConfig, T: Borrow<Affine<P>>> AddAssign<T> for Bucket<P>

fn add_assign(&mut self, other: T)

Using https://www.hyperelliptic.org/EFD/g1p/auto-shortw-xyzz.html#addition-madd-2008-s

impl<P: SWCurveConfig> Clone for Bucket<P>

where P::BaseField: Copy,

fn clone(&self) -> Self

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<P: SWCurveConfig> Debug for Bucket<P>

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

Formats the value using the given formatter.

impl<P: SWCurveConfig> Default for Bucket<P>

fn default() -> Self

Returns the “default value” for a type.

impl<P: SWCurveConfig> From<Affine<P>> for Bucket<P>

fn from(p: Affine<P>) -> Self

Converts to this type from the input type.

impl<P: SWCurveConfig> From<Bucket<P>> for Affine<P>

fn from(p: Bucket<P>) -> Self

Converts to this type from the input type.

impl<P: SWCurveConfig> From<Bucket<P>> for Projective<P>

fn from(p: Bucket<P>) -> Self

Converts to this type from the input type.

impl<P: SWCurveConfig> Hash for Bucket<P>

fn hash<H: Hasher>(&self, state: &mut H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<P: SWCurveConfig> Neg for Bucket<P>

type Output = Bucket<P>

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl<P: SWCurveConfig> PartialEq for Bucket<P>

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, P: SWCurveConfig> SubAssign<&'a Bucket<P>> for Bucket<P>

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

Performs the -= operation.

impl<P: SWCurveConfig, T: Borrow<Affine<P>>> SubAssign<T> for Bucket<P>

fn sub_assign(&mut self, other: T)

Performs the -= operation.

impl<P: SWCurveConfig> Zeroize for Bucket<P>

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.

impl<P: SWCurveConfig> Copy for Bucket<P>

where P::BaseField: Copy,

impl<P: SWCurveConfig> Eq for Bucket<P>