Struct fedimint_threshold_crypto::G2Projective
source · pub struct G2Projective { /* private fields */ }
Expand description
This is an element of $\mathbb{G}_2$ represented in the projective coordinate space.
Implementations§
source§impl G2Projective
impl G2Projective
sourcepub fn identity() -> G2Projective
pub fn identity() -> G2Projective
Returns the identity of the group: the point at infinity.
sourcepub fn generator() -> G2Projective
pub fn generator() -> G2Projective
Returns a fixed generator of the group. See notes::design
for how this generator is chosen.
sourcepub fn double(&self) -> G2Projective
pub fn double(&self) -> G2Projective
Computes the doubling of this point.
sourcepub fn add(&self, rhs: &G2Projective) -> G2Projective
pub fn add(&self, rhs: &G2Projective) -> G2Projective
Adds this point to another point.
sourcepub fn add_mixed(&self, rhs: &G2Affine) -> G2Projective
pub fn add_mixed(&self, rhs: &G2Affine) -> G2Projective
Adds this point to another point in the affine model.
sourcepub fn clear_cofactor(&self) -> G2Projective
pub fn clear_cofactor(&self) -> G2Projective
Clears the cofactor, using Budroni-Pintore. This is equivalent to multiplying by $h_\textrm{eff} = 3(z^2 - 1) \cdot h_2$, where $h_2$ is the cofactor of $\mathbb{G}_2$ and $z$ is the parameter of BLS12-381.
sourcepub fn batch_normalize(p: &[G2Projective], q: &mut [G2Affine])
pub fn batch_normalize(p: &[G2Projective], q: &mut [G2Affine])
Converts a batch of G2Projective
elements into G2Affine
elements. This
function will panic if p.len() != q.len()
.
sourcepub fn is_identity(&self) -> Choice
pub fn is_identity(&self) -> Choice
Returns true if this element is the identity (the point at infinity).
sourcepub fn is_on_curve(&self) -> Choice
pub fn is_on_curve(&self) -> Choice
Returns true if this point is on the curve. This should always return true unless an “unchecked” API was used.
Trait Implementations§
source§impl<'a, 'b> Add<&'b G2Affine> for &'a G2Projective
impl<'a, 'b> Add<&'b G2Affine> for &'a G2Projective
§type Output = G2Projective
type Output = G2Projective
+
operator.source§impl<'b> Add<&'b G2Affine> for G2Projective
impl<'b> Add<&'b G2Affine> for G2Projective
§type Output = G2Projective
type Output = G2Projective
+
operator.source§impl<'a, 'b> Add<&'b G2Projective> for &'a G2Affine
impl<'a, 'b> Add<&'b G2Projective> for &'a G2Affine
§type Output = G2Projective
type Output = G2Projective
+
operator.source§fn add(self, rhs: &'b G2Projective) -> G2Projective
fn add(self, rhs: &'b G2Projective) -> G2Projective
+
operation. Read moresource§impl<'a, 'b> Add<&'b G2Projective> for &'a G2Projective
impl<'a, 'b> Add<&'b G2Projective> for &'a G2Projective
§type Output = G2Projective
type Output = G2Projective
+
operator.source§fn add(self, rhs: &'b G2Projective) -> G2Projective
fn add(self, rhs: &'b G2Projective) -> G2Projective
+
operation. Read moresource§impl<'b> Add<&'b G2Projective> for G2Affine
impl<'b> Add<&'b G2Projective> for G2Affine
§type Output = G2Projective
type Output = G2Projective
+
operator.source§fn add(self, rhs: &'b G2Projective) -> G2Projective
fn add(self, rhs: &'b G2Projective) -> G2Projective
+
operation. Read moresource§impl<'b> Add<&'b G2Projective> for G2Projective
impl<'b> Add<&'b G2Projective> for G2Projective
§type Output = G2Projective
type Output = G2Projective
+
operator.source§fn add(self, rhs: &'b G2Projective) -> G2Projective
fn add(self, rhs: &'b G2Projective) -> G2Projective
+
operation. Read moresource§impl<'a> Add<G2Affine> for &'a G2Projective
impl<'a> Add<G2Affine> for &'a G2Projective
§type Output = G2Projective
type Output = G2Projective
+
operator.source§impl Add<G2Affine> for G2Projective
impl Add<G2Affine> for G2Projective
§type Output = G2Projective
type Output = G2Projective
+
operator.source§impl<'a> Add<G2Projective> for &'a G2Affine
impl<'a> Add<G2Projective> for &'a G2Affine
§type Output = G2Projective
type Output = G2Projective
+
operator.source§fn add(self, rhs: G2Projective) -> G2Projective
fn add(self, rhs: G2Projective) -> G2Projective
+
operation. Read moresource§impl<'a> Add<G2Projective> for &'a G2Projective
impl<'a> Add<G2Projective> for &'a G2Projective
§type Output = G2Projective
type Output = G2Projective
+
operator.source§fn add(self, rhs: G2Projective) -> G2Projective
fn add(self, rhs: G2Projective) -> G2Projective
+
operation. Read moresource§impl Add<G2Projective> for G2Affine
impl Add<G2Projective> for G2Affine
§type Output = G2Projective
type Output = G2Projective
+
operator.source§fn add(self, rhs: G2Projective) -> G2Projective
fn add(self, rhs: G2Projective) -> G2Projective
+
operation. Read moresource§impl Add<G2Projective> for G2Projective
impl Add<G2Projective> for G2Projective
§type Output = G2Projective
type Output = G2Projective
+
operator.source§fn add(self, rhs: G2Projective) -> G2Projective
fn add(self, rhs: G2Projective) -> G2Projective
+
operation. Read moresource§impl<'b> AddAssign<&'b G2Affine> for G2Projective
impl<'b> AddAssign<&'b G2Affine> for G2Projective
source§fn add_assign(&mut self, rhs: &'b G2Affine)
fn add_assign(&mut self, rhs: &'b G2Affine)
+=
operation. Read moresource§impl<'b> AddAssign<&'b G2Projective> for G2Projective
impl<'b> AddAssign<&'b G2Projective> for G2Projective
source§fn add_assign(&mut self, rhs: &'b G2Projective)
fn add_assign(&mut self, rhs: &'b G2Projective)
+=
operation. Read moresource§impl AddAssign<G2Affine> for G2Projective
impl AddAssign<G2Affine> for G2Projective
source§fn add_assign(&mut self, rhs: G2Affine)
fn add_assign(&mut self, rhs: G2Affine)
+=
operation. Read moresource§impl AddAssign<G2Projective> for G2Projective
impl AddAssign<G2Projective> for G2Projective
source§fn add_assign(&mut self, rhs: G2Projective)
fn add_assign(&mut self, rhs: G2Projective)
+=
operation. Read moresource§impl Clone for G2Projective
impl Clone for G2Projective
source§fn clone(&self) -> G2Projective
fn clone(&self) -> G2Projective
1.0.0 · source§fn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
source
. Read moresource§impl ConditionallySelectable for G2Projective
impl ConditionallySelectable for G2Projective
source§fn conditional_select(
a: &G2Projective,
b: &G2Projective,
choice: Choice
) -> G2Projective
fn conditional_select( a: &G2Projective, b: &G2Projective, choice: Choice ) -> G2Projective
source§fn conditional_assign(&mut self, other: &Self, choice: Choice)
fn conditional_assign(&mut self, other: &Self, choice: Choice)
source§impl ConstantTimeEq for G2Projective
impl ConstantTimeEq for G2Projective
source§impl Curve for G2Projective
impl Curve for G2Projective
§type AffineRepr = G2Affine
type AffineRepr = G2Affine
source§fn batch_normalize(
p: &[G2Projective],
q: &mut [<G2Projective as Curve>::AffineRepr]
)
fn batch_normalize( p: &[G2Projective], q: &mut [<G2Projective as Curve>::AffineRepr] )
p.len() != q.len()
.source§fn to_affine(&self) -> <G2Projective as Curve>::AffineRepr
fn to_affine(&self) -> <G2Projective as Curve>::AffineRepr
source§impl Debug for G2Projective
impl Debug for G2Projective
source§impl Default for G2Projective
impl Default for G2Projective
source§fn default() -> G2Projective
fn default() -> G2Projective
source§impl Display for G2Projective
impl Display for G2Projective
source§impl<'a> From<&'a G2Affine> for G2Projective
impl<'a> From<&'a G2Affine> for G2Projective
source§fn from(p: &'a G2Affine) -> G2Projective
fn from(p: &'a G2Affine) -> G2Projective
source§impl<'a> From<&'a G2Projective> for G2Affine
impl<'a> From<&'a G2Projective> for G2Affine
source§fn from(p: &'a G2Projective) -> G2Affine
fn from(p: &'a G2Projective) -> G2Affine
source§impl From<G2Affine> for G2Projective
impl From<G2Affine> for G2Projective
source§fn from(p: G2Affine) -> G2Projective
fn from(p: G2Affine) -> G2Projective
source§impl From<G2Projective> for G2Affine
impl From<G2Projective> for G2Affine
source§fn from(p: G2Projective) -> G2Affine
fn from(p: G2Projective) -> G2Affine
source§impl Group for G2Projective
impl Group for G2Projective
source§fn random(rng: impl RngCore) -> G2Projective
fn random(rng: impl RngCore) -> G2Projective
source§fn identity() -> G2Projective
fn identity() -> G2Projective
source§fn generator() -> G2Projective
fn generator() -> G2Projective
source§fn is_identity(&self) -> Choice
fn is_identity(&self) -> Choice
source§fn double(&self) -> G2Projective
fn double(&self) -> G2Projective
source§impl GroupEncoding for G2Projective
impl GroupEncoding for G2Projective
source§fn from_bytes(
bytes: &<G2Projective as GroupEncoding>::Repr
) -> CtOption<G2Projective>
fn from_bytes( bytes: &<G2Projective as GroupEncoding>::Repr ) -> CtOption<G2Projective>
source§fn from_bytes_unchecked(
bytes: &<G2Projective as GroupEncoding>::Repr
) -> CtOption<G2Projective>
fn from_bytes_unchecked( bytes: &<G2Projective as GroupEncoding>::Repr ) -> CtOption<G2Projective>
source§fn to_bytes(&self) -> <G2Projective as GroupEncoding>::Repr
fn to_bytes(&self) -> <G2Projective as GroupEncoding>::Repr
source§impl<'a, 'b> Mul<&'b G2Projective> for &'a Scalar
impl<'a, 'b> Mul<&'b G2Projective> for &'a Scalar
§type Output = G2Projective
type Output = G2Projective
*
operator.source§fn mul(
self,
rhs: &'b G2Projective
) -> <&'a Scalar as Mul<&'b G2Projective>>::Output
fn mul( self, rhs: &'b G2Projective ) -> <&'a Scalar as Mul<&'b G2Projective>>::Output
*
operation. Read moresource§impl<'b> Mul<&'b G2Projective> for Scalar
impl<'b> Mul<&'b G2Projective> for Scalar
§type Output = G2Projective
type Output = G2Projective
*
operator.source§fn mul(self, rhs: &'b G2Projective) -> G2Projective
fn mul(self, rhs: &'b G2Projective) -> G2Projective
*
operation. Read moresource§impl<'a, 'b> Mul<&'b Scalar> for &'a G2Projective
impl<'a, 'b> Mul<&'b Scalar> for &'a G2Projective
source§impl<'b> Mul<&'b Scalar> for G2Projective
impl<'b> Mul<&'b Scalar> for G2Projective
§type Output = G2Projective
type Output = G2Projective
*
operator.source§impl<'a> Mul<G2Projective> for &'a Scalar
impl<'a> Mul<G2Projective> for &'a Scalar
§type Output = G2Projective
type Output = G2Projective
*
operator.source§fn mul(self, rhs: G2Projective) -> G2Projective
fn mul(self, rhs: G2Projective) -> G2Projective
*
operation. Read moresource§impl Mul<G2Projective> for Scalar
impl Mul<G2Projective> for Scalar
§type Output = G2Projective
type Output = G2Projective
*
operator.source§fn mul(self, rhs: G2Projective) -> G2Projective
fn mul(self, rhs: G2Projective) -> G2Projective
*
operation. Read moresource§impl<'a> Mul<Scalar> for &'a G2Projective
impl<'a> Mul<Scalar> for &'a G2Projective
§type Output = G2Projective
type Output = G2Projective
*
operator.source§impl Mul<Scalar> for G2Projective
impl Mul<Scalar> for G2Projective
§type Output = G2Projective
type Output = G2Projective
*
operator.source§impl<'b> MulAssign<&'b Scalar> for G2Projective
impl<'b> MulAssign<&'b Scalar> for G2Projective
source§fn mul_assign(&mut self, rhs: &'b Scalar)
fn mul_assign(&mut self, rhs: &'b Scalar)
*=
operation. Read moresource§impl MulAssign<Scalar> for G2Projective
impl MulAssign<Scalar> for G2Projective
source§fn mul_assign(&mut self, rhs: Scalar)
fn mul_assign(&mut self, rhs: Scalar)
*=
operation. Read moresource§impl<'a> Neg for &'a G2Projective
impl<'a> Neg for &'a G2Projective
§type Output = G2Projective
type Output = G2Projective
-
operator.source§fn neg(self) -> G2Projective
fn neg(self) -> G2Projective
-
operation. Read moresource§impl Neg for G2Projective
impl Neg for G2Projective
§type Output = G2Projective
type Output = G2Projective
-
operator.source§fn neg(self) -> G2Projective
fn neg(self) -> G2Projective
-
operation. Read moresource§impl PartialEq<G2Projective> for G2Projective
impl PartialEq<G2Projective> for G2Projective
source§fn eq(&self, other: &G2Projective) -> bool
fn eq(&self, other: &G2Projective) -> bool
self
and other
values to be equal, and is used
by ==
.source§impl PrimeCurve for G2Projective
impl PrimeCurve for G2Projective
source§impl<'a, 'b> Sub<&'b G2Affine> for &'a G2Projective
impl<'a, 'b> Sub<&'b G2Affine> for &'a G2Projective
§type Output = G2Projective
type Output = G2Projective
-
operator.source§impl<'b> Sub<&'b G2Affine> for G2Projective
impl<'b> Sub<&'b G2Affine> for G2Projective
§type Output = G2Projective
type Output = G2Projective
-
operator.source§impl<'a, 'b> Sub<&'b G2Projective> for &'a G2Affine
impl<'a, 'b> Sub<&'b G2Projective> for &'a G2Affine
§type Output = G2Projective
type Output = G2Projective
-
operator.source§fn sub(self, rhs: &'b G2Projective) -> G2Projective
fn sub(self, rhs: &'b G2Projective) -> G2Projective
-
operation. Read moresource§impl<'a, 'b> Sub<&'b G2Projective> for &'a G2Projective
impl<'a, 'b> Sub<&'b G2Projective> for &'a G2Projective
§type Output = G2Projective
type Output = G2Projective
-
operator.source§fn sub(self, rhs: &'b G2Projective) -> G2Projective
fn sub(self, rhs: &'b G2Projective) -> G2Projective
-
operation. Read moresource§impl<'b> Sub<&'b G2Projective> for G2Affine
impl<'b> Sub<&'b G2Projective> for G2Affine
§type Output = G2Projective
type Output = G2Projective
-
operator.source§fn sub(self, rhs: &'b G2Projective) -> G2Projective
fn sub(self, rhs: &'b G2Projective) -> G2Projective
-
operation. Read moresource§impl<'b> Sub<&'b G2Projective> for G2Projective
impl<'b> Sub<&'b G2Projective> for G2Projective
§type Output = G2Projective
type Output = G2Projective
-
operator.source§fn sub(self, rhs: &'b G2Projective) -> G2Projective
fn sub(self, rhs: &'b G2Projective) -> G2Projective
-
operation. Read moresource§impl<'a> Sub<G2Affine> for &'a G2Projective
impl<'a> Sub<G2Affine> for &'a G2Projective
§type Output = G2Projective
type Output = G2Projective
-
operator.source§impl Sub<G2Affine> for G2Projective
impl Sub<G2Affine> for G2Projective
§type Output = G2Projective
type Output = G2Projective
-
operator.source§impl<'a> Sub<G2Projective> for &'a G2Affine
impl<'a> Sub<G2Projective> for &'a G2Affine
§type Output = G2Projective
type Output = G2Projective
-
operator.source§fn sub(self, rhs: G2Projective) -> G2Projective
fn sub(self, rhs: G2Projective) -> G2Projective
-
operation. Read moresource§impl<'a> Sub<G2Projective> for &'a G2Projective
impl<'a> Sub<G2Projective> for &'a G2Projective
§type Output = G2Projective
type Output = G2Projective
-
operator.source§fn sub(self, rhs: G2Projective) -> G2Projective
fn sub(self, rhs: G2Projective) -> G2Projective
-
operation. Read moresource§impl Sub<G2Projective> for G2Affine
impl Sub<G2Projective> for G2Affine
§type Output = G2Projective
type Output = G2Projective
-
operator.source§fn sub(self, rhs: G2Projective) -> G2Projective
fn sub(self, rhs: G2Projective) -> G2Projective
-
operation. Read moresource§impl Sub<G2Projective> for G2Projective
impl Sub<G2Projective> for G2Projective
§type Output = G2Projective
type Output = G2Projective
-
operator.source§fn sub(self, rhs: G2Projective) -> G2Projective
fn sub(self, rhs: G2Projective) -> G2Projective
-
operation. Read moresource§impl<'b> SubAssign<&'b G2Affine> for G2Projective
impl<'b> SubAssign<&'b G2Affine> for G2Projective
source§fn sub_assign(&mut self, rhs: &'b G2Affine)
fn sub_assign(&mut self, rhs: &'b G2Affine)
-=
operation. Read moresource§impl<'b> SubAssign<&'b G2Projective> for G2Projective
impl<'b> SubAssign<&'b G2Projective> for G2Projective
source§fn sub_assign(&mut self, rhs: &'b G2Projective)
fn sub_assign(&mut self, rhs: &'b G2Projective)
-=
operation. Read moresource§impl SubAssign<G2Affine> for G2Projective
impl SubAssign<G2Affine> for G2Projective
source§fn sub_assign(&mut self, rhs: G2Affine)
fn sub_assign(&mut self, rhs: G2Affine)
-=
operation. Read moresource§impl SubAssign<G2Projective> for G2Projective
impl SubAssign<G2Projective> for G2Projective
source§fn sub_assign(&mut self, rhs: G2Projective)
fn sub_assign(&mut self, rhs: G2Projective)
-=
operation. Read moresource§impl<T> Sum<T> for G2Projectivewhere
T: Borrow<G2Projective>,
impl<T> Sum<T> for G2Projectivewhere T: Borrow<G2Projective>,
source§fn sum<I>(iter: I) -> G2Projectivewhere
I: Iterator<Item = T>,
fn sum<I>(iter: I) -> G2Projectivewhere I: Iterator<Item = T>,
Self
from the elements by
“summing up” the items.source§impl WnafGroup for G2Projective
impl WnafGroup for G2Projective
source§fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize
fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize
impl Copy for G2Projective
impl DefaultIsZeroes for G2Projective
impl Eq for G2Projective
impl PrimeGroup for G2Projective
Auto Trait Implementations§
impl RefUnwindSafe for G2Projective
impl Send for G2Projective
impl Sync for G2Projective
impl Unpin for G2Projective
impl UnwindSafe for G2Projective
Blanket Implementations§
source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere T: ?Sized,
source§fn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
source§impl<T> ConditionallyNegatable for Twhere
T: ConditionallySelectable,
&'a T: for<'a> Neg<Output = T>,
impl<T> ConditionallyNegatable for Twhere T: ConditionallySelectable, &'a T: for<'a> Neg<Output = T>,
source§fn conditional_negate(&mut self, choice: Choice)
fn conditional_negate(&mut self, choice: Choice)
§impl<T> Conv for T
impl<T> Conv for T
§impl<T> FmtForward for T
impl<T> FmtForward for T
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Self: Binary,
fn fmt_binary(self) -> FmtBinary<Self>where Self: Binary,
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to use its Binary
implementation when Debug
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Self: Display,
fn fmt_display(self) -> FmtDisplay<Self>where Self: Display,
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to use its Display
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Debug
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&'a Self: for<'a> IntoIterator,
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§impl<T> Pipe for Twhere
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