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G2

Struct G2 

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pub struct G2 { /* private fields */ }

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impl Clone for G2

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fn clone(&self) -> G2

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Copy for G2

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impl CurveProjective for G2

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type Engine = Bn256

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type Scalar = Fr

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type Base = Fq2

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type Affine = G2Affine

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fn zero() -> Self

Returns the additive identity.
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fn one() -> Self

Returns a fixed generator of unknown exponent.
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fn is_zero(&self) -> bool

Determines if this point is the point at infinity.
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fn is_normalized(&self) -> bool

Checks if the point is already “normalized” so that cheap affine conversion is possible.
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fn batch_normalization(v: &mut [Self])

Normalizes a slice of projective elements so that conversion to affine is cheap.
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fn double(&mut self)

Doubles this element.
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fn add_assign(&mut self, other: &Self)

Adds another element to this element.
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fn add_assign_mixed(&mut self, other: &Self::Affine)

Adds an affine element to this element.
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fn negate(&mut self)

Negates this element.
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fn mul_assign<S: Into<<Self::Scalar as PrimeField>::Repr>>(&mut self, other: S)

Performs scalar multiplication of this element.
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fn into_affine(&self) -> G2Affine

Converts this element into its affine representation.
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fn recommended_wnaf_for_scalar( scalar: <Self::Scalar as PrimeField>::Repr, ) -> usize

Recommends a wNAF window table size given a scalar. Always returns a number between 2 and 22, inclusive.
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fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize

Recommends a wNAF window size given the number of scalars you intend to multiply a base by. Always returns a number between 2 and 22, inclusive.
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fn as_xyz(&self) -> (&Self::Base, &Self::Base, &Self::Base)

Returns references to underlying X, Y and Z coordinates. Users should check for infinity outside of this call
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fn into_xyz_unchecked(self) -> (Self::Base, Self::Base, Self::Base)

Returns underlying X, Y and Z coordinates. Users should check for infinity outside of this call
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fn from_xyz_unchecked(x: Self::Base, y: Self::Base, z: Self::Base) -> Self

Creates a point from raw X, Y and Z coordinates. Point of infinity is encoded as (0,1,0) by default. On-curve check is NOT performed
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fn from_xyz_checked( _x: Self::Base, _y: Self::Base, _z: Self::Base, ) -> Result<Self, GroupDecodingError>

Creates a point from raw X, Y and Z coordinates. Point of infinity is encoded as (0,1,0) by default. On-curve check is performed
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fn sub_assign(&mut self, other: &Self)

Subtracts another element from this element.
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impl Debug for G2

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

Formats the value using the given formatter. Read more
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impl Display for G2

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

Formats the value using the given formatter. Read more
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impl Eq for G2

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impl From<G2> for G2Affine

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fn from(p: G2) -> G2Affine

Converts to this type from the input type.
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impl From<G2Affine> for G2

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fn from(p: G2Affine) -> G2

Converts to this type from the input type.
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impl PartialEq for G2

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fn eq(&self, other: &G2) -> bool

Equality operator ==. Read more
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fn ne(&self, other: &Rhs) -> bool

Inequality operator !=. Read more
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impl Rand for G2

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fn rand<R: Rng + ?Sized>(rng: &mut R) -> Self

Auto Trait Implementations§

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impl Freeze for G2

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impl RefUnwindSafe for G2

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impl Send for G2

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impl Sync for G2

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impl Unpin for G2

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impl UnsafeUnpin for G2

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impl UnwindSafe for G2

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<G> GenericCurveProjective for G
where G: CurveProjective,

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fn zero() -> G

Returns the additive identity.

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fn one() -> G

Returns a fixed generator of unknown exponent.

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fn is_zero(&self) -> bool

Determines if this point is the point at infinity.

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fn batch_normalization(v: &mut [G])

Normalizes a slice of projective elements so that conversion to affine is cheap.

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fn is_normalized(&self) -> bool

Checks if the point is already “normalized” so that cheap affine conversion is possible.

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fn double(&mut self)

Doubles this element.

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fn add_assign(&mut self, other: &G)

Adds another element to this element.

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fn sub_assign(&mut self, other: &G)

Subtracts another element from this element.

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fn add_assign_mixed(&mut self, other: &<G as GenericCurveProjective>::Affine)

Adds an affine element to this element.

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fn negate(&mut self)

Negates this element.

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fn mul_assign<S>(&mut self, other: S)

Performs scalar multiplication of this element.

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fn into_affine(&self) -> <G as GenericCurveProjective>::Affine

Converts this element into its affine representation.

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fn recommended_wnaf_for_scalar( scalar: <<G as GenericCurveProjective>::Scalar as PrimeField>::Repr, ) -> usize

Recommends a wNAF window table size given a scalar. Always returns a number between 2 and 22, inclusive.

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fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize

Recommends a wNAF window size given the number of scalars you intend to multiply a base by. Always returns a number between 2 and 22, inclusive.

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fn as_xyz( &self, ) -> (&<G as GenericCurveProjective>::Base, &<G as GenericCurveProjective>::Base, &<G as GenericCurveProjective>::Base)

Returns references to underlying X, Y and Z coordinates. Users should check for infinity outside of this call

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fn into_xyz_unchecked( self, ) -> (<G as GenericCurveProjective>::Base, <G as GenericCurveProjective>::Base, <G as GenericCurveProjective>::Base)

Returns underlying X, Y and Z coordinates. Users should check for infinity outside of this call

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fn from_xyz_unchecked( _x: <G as GenericCurveProjective>::Base, _y: <G as GenericCurveProjective>::Base, _z: <G as GenericCurveProjective>::Base, ) -> G

Creates a point from raw X, Y and Z coordinates. Point of infinity is encoded as (0,1,0) by default. On-curve check is NOT performed

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fn from_xyz_checked( _x: <G as GenericCurveProjective>::Base, _y: <G as GenericCurveProjective>::Base, _z: <G as GenericCurveProjective>::Base, ) -> Result<G, GroupDecodingError>

Creates a point from raw X, Y and Z coordinates. Point of infinity is encoded as (0,1,0) by default. On-curve check is performed

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type Scalar = <G as CurveProjective>::Scalar

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type Base = <G as CurveProjective>::Base

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type Affine = <G as CurveProjective>::Affine

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T> ToString for T
where T: Display + ?Sized,

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fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V