Struct fedimint_threshold_crypto::G1Projective
source · pub struct G1Projective { /* private fields */ }
Expand description
This is an element of $\mathbb{G}_1$ represented in the projective coordinate space.
Implementations§
source§impl G1Projective
impl G1Projective
sourcepub fn identity() -> G1Projective
pub fn identity() -> G1Projective
Returns the identity of the group: the point at infinity.
sourcepub fn generator() -> G1Projective
pub fn generator() -> G1Projective
Returns a fixed generator of the group. See notes::design
for how this generator is chosen.
sourcepub fn double(&self) -> G1Projective
pub fn double(&self) -> G1Projective
Computes the doubling of this point.
sourcepub fn add(&self, rhs: &G1Projective) -> G1Projective
pub fn add(&self, rhs: &G1Projective) -> G1Projective
Adds this point to another point.
sourcepub fn add_mixed(&self, rhs: &G1Affine) -> G1Projective
pub fn add_mixed(&self, rhs: &G1Affine) -> G1Projective
Adds this point to another point in the affine model.
sourcepub fn clear_cofactor(&self) -> G1Projective
pub fn clear_cofactor(&self) -> G1Projective
Multiplies by $(1 - z)$, where $z$ is the parameter of BLS12-381, which suffices to clear the cofactor and map elliptic curve points to elements of $\mathbb{G}_1$.
sourcepub fn batch_normalize(p: &[G1Projective], q: &mut [G1Affine])
pub fn batch_normalize(p: &[G1Projective], q: &mut [G1Affine])
Converts a batch of G1Projective
elements into G1Affine
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 G1Affine> for &'a G1Projective
impl<'a, 'b> Add<&'b G1Affine> for &'a G1Projective
§type Output = G1Projective
type Output = G1Projective
+
operator.source§impl<'b> Add<&'b G1Affine> for G1Projective
impl<'b> Add<&'b G1Affine> for G1Projective
§type Output = G1Projective
type Output = G1Projective
+
operator.source§impl<'a, 'b> Add<&'b G1Projective> for &'a G1Affine
impl<'a, 'b> Add<&'b G1Projective> for &'a G1Affine
§type Output = G1Projective
type Output = G1Projective
+
operator.source§fn add(self, rhs: &'b G1Projective) -> G1Projective
fn add(self, rhs: &'b G1Projective) -> G1Projective
+
operation. Read moresource§impl<'a, 'b> Add<&'b G1Projective> for &'a G1Projective
impl<'a, 'b> Add<&'b G1Projective> for &'a G1Projective
§type Output = G1Projective
type Output = G1Projective
+
operator.source§fn add(self, rhs: &'b G1Projective) -> G1Projective
fn add(self, rhs: &'b G1Projective) -> G1Projective
+
operation. Read moresource§impl<'b> Add<&'b G1Projective> for G1Affine
impl<'b> Add<&'b G1Projective> for G1Affine
§type Output = G1Projective
type Output = G1Projective
+
operator.source§fn add(self, rhs: &'b G1Projective) -> G1Projective
fn add(self, rhs: &'b G1Projective) -> G1Projective
+
operation. Read moresource§impl<'b> Add<&'b G1Projective> for G1Projective
impl<'b> Add<&'b G1Projective> for G1Projective
§type Output = G1Projective
type Output = G1Projective
+
operator.source§fn add(self, rhs: &'b G1Projective) -> G1Projective
fn add(self, rhs: &'b G1Projective) -> G1Projective
+
operation. Read moresource§impl<'a> Add<G1Affine> for &'a G1Projective
impl<'a> Add<G1Affine> for &'a G1Projective
§type Output = G1Projective
type Output = G1Projective
+
operator.source§impl Add<G1Affine> for G1Projective
impl Add<G1Affine> for G1Projective
§type Output = G1Projective
type Output = G1Projective
+
operator.source§impl<'a> Add<G1Projective> for &'a G1Affine
impl<'a> Add<G1Projective> for &'a G1Affine
§type Output = G1Projective
type Output = G1Projective
+
operator.source§fn add(self, rhs: G1Projective) -> G1Projective
fn add(self, rhs: G1Projective) -> G1Projective
+
operation. Read moresource§impl<'a> Add<G1Projective> for &'a G1Projective
impl<'a> Add<G1Projective> for &'a G1Projective
§type Output = G1Projective
type Output = G1Projective
+
operator.source§fn add(self, rhs: G1Projective) -> G1Projective
fn add(self, rhs: G1Projective) -> G1Projective
+
operation. Read moresource§impl Add<G1Projective> for G1Affine
impl Add<G1Projective> for G1Affine
§type Output = G1Projective
type Output = G1Projective
+
operator.source§fn add(self, rhs: G1Projective) -> G1Projective
fn add(self, rhs: G1Projective) -> G1Projective
+
operation. Read moresource§impl Add<G1Projective> for G1Projective
impl Add<G1Projective> for G1Projective
§type Output = G1Projective
type Output = G1Projective
+
operator.source§fn add(self, rhs: G1Projective) -> G1Projective
fn add(self, rhs: G1Projective) -> G1Projective
+
operation. Read moresource§impl<'b> AddAssign<&'b G1Affine> for G1Projective
impl<'b> AddAssign<&'b G1Affine> for G1Projective
source§fn add_assign(&mut self, rhs: &'b G1Affine)
fn add_assign(&mut self, rhs: &'b G1Affine)
+=
operation. Read moresource§impl<'b> AddAssign<&'b G1Projective> for G1Projective
impl<'b> AddAssign<&'b G1Projective> for G1Projective
source§fn add_assign(&mut self, rhs: &'b G1Projective)
fn add_assign(&mut self, rhs: &'b G1Projective)
+=
operation. Read moresource§impl AddAssign<G1Affine> for G1Projective
impl AddAssign<G1Affine> for G1Projective
source§fn add_assign(&mut self, rhs: G1Affine)
fn add_assign(&mut self, rhs: G1Affine)
+=
operation. Read moresource§impl AddAssign<G1Projective> for G1Projective
impl AddAssign<G1Projective> for G1Projective
source§fn add_assign(&mut self, rhs: G1Projective)
fn add_assign(&mut self, rhs: G1Projective)
+=
operation. Read moresource§impl Clone for G1Projective
impl Clone for G1Projective
source§fn clone(&self) -> G1Projective
fn clone(&self) -> G1Projective
1.0.0 · source§fn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
source
. Read moresource§impl ConditionallySelectable for G1Projective
impl ConditionallySelectable for G1Projective
source§fn conditional_select(
a: &G1Projective,
b: &G1Projective,
choice: Choice
) -> G1Projective
fn conditional_select( a: &G1Projective, b: &G1Projective, choice: Choice ) -> G1Projective
source§fn conditional_assign(&mut self, other: &Self, choice: Choice)
fn conditional_assign(&mut self, other: &Self, choice: Choice)
source§impl ConstantTimeEq for G1Projective
impl ConstantTimeEq for G1Projective
source§impl Curve for G1Projective
impl Curve for G1Projective
§type AffineRepr = G1Affine
type AffineRepr = G1Affine
source§fn batch_normalize(
p: &[G1Projective],
q: &mut [<G1Projective as Curve>::AffineRepr]
)
fn batch_normalize( p: &[G1Projective], q: &mut [<G1Projective as Curve>::AffineRepr] )
p.len() != q.len()
.source§fn to_affine(&self) -> <G1Projective as Curve>::AffineRepr
fn to_affine(&self) -> <G1Projective as Curve>::AffineRepr
source§impl Debug for G1Projective
impl Debug for G1Projective
source§impl Default for G1Projective
impl Default for G1Projective
source§fn default() -> G1Projective
fn default() -> G1Projective
source§impl Display for G1Projective
impl Display for G1Projective
source§impl<'a> From<&'a G1Affine> for G1Projective
impl<'a> From<&'a G1Affine> for G1Projective
source§fn from(p: &'a G1Affine) -> G1Projective
fn from(p: &'a G1Affine) -> G1Projective
source§impl<'a> From<&'a G1Projective> for G1Affine
impl<'a> From<&'a G1Projective> for G1Affine
source§fn from(p: &'a G1Projective) -> G1Affine
fn from(p: &'a G1Projective) -> G1Affine
source§impl From<G1Affine> for G1Projective
impl From<G1Affine> for G1Projective
source§fn from(p: G1Affine) -> G1Projective
fn from(p: G1Affine) -> G1Projective
source§impl From<G1Projective> for G1Affine
impl From<G1Projective> for G1Affine
source§fn from(p: G1Projective) -> G1Affine
fn from(p: G1Projective) -> G1Affine
source§impl Group for G1Projective
impl Group for G1Projective
source§fn random(rng: impl RngCore) -> G1Projective
fn random(rng: impl RngCore) -> G1Projective
source§fn identity() -> G1Projective
fn identity() -> G1Projective
source§fn generator() -> G1Projective
fn generator() -> G1Projective
source§fn is_identity(&self) -> Choice
fn is_identity(&self) -> Choice
source§fn double(&self) -> G1Projective
fn double(&self) -> G1Projective
source§impl GroupEncoding for G1Projective
impl GroupEncoding for G1Projective
source§fn from_bytes(
bytes: &<G1Projective as GroupEncoding>::Repr
) -> CtOption<G1Projective>
fn from_bytes( bytes: &<G1Projective as GroupEncoding>::Repr ) -> CtOption<G1Projective>
source§fn from_bytes_unchecked(
bytes: &<G1Projective as GroupEncoding>::Repr
) -> CtOption<G1Projective>
fn from_bytes_unchecked( bytes: &<G1Projective as GroupEncoding>::Repr ) -> CtOption<G1Projective>
source§fn to_bytes(&self) -> <G1Projective as GroupEncoding>::Repr
fn to_bytes(&self) -> <G1Projective as GroupEncoding>::Repr
source§impl<'a, 'b> Mul<&'b G1Projective> for &'a Scalar
impl<'a, 'b> Mul<&'b G1Projective> for &'a Scalar
§type Output = G1Projective
type Output = G1Projective
*
operator.source§fn mul(
self,
rhs: &'b G1Projective
) -> <&'a Scalar as Mul<&'b G1Projective>>::Output
fn mul( self, rhs: &'b G1Projective ) -> <&'a Scalar as Mul<&'b G1Projective>>::Output
*
operation. Read moresource§impl<'b> Mul<&'b G1Projective> for Scalar
impl<'b> Mul<&'b G1Projective> for Scalar
§type Output = G1Projective
type Output = G1Projective
*
operator.source§fn mul(self, rhs: &'b G1Projective) -> G1Projective
fn mul(self, rhs: &'b G1Projective) -> G1Projective
*
operation. Read moresource§impl<'a, 'b> Mul<&'b Scalar> for &'a G1Projective
impl<'a, 'b> Mul<&'b Scalar> for &'a G1Projective
source§impl<'b> Mul<&'b Scalar> for G1Projective
impl<'b> Mul<&'b Scalar> for G1Projective
§type Output = G1Projective
type Output = G1Projective
*
operator.source§impl<'a> Mul<G1Projective> for &'a Scalar
impl<'a> Mul<G1Projective> for &'a Scalar
§type Output = G1Projective
type Output = G1Projective
*
operator.source§fn mul(self, rhs: G1Projective) -> G1Projective
fn mul(self, rhs: G1Projective) -> G1Projective
*
operation. Read moresource§impl Mul<G1Projective> for Scalar
impl Mul<G1Projective> for Scalar
§type Output = G1Projective
type Output = G1Projective
*
operator.source§fn mul(self, rhs: G1Projective) -> G1Projective
fn mul(self, rhs: G1Projective) -> G1Projective
*
operation. Read moresource§impl<'a> Mul<Scalar> for &'a G1Projective
impl<'a> Mul<Scalar> for &'a G1Projective
§type Output = G1Projective
type Output = G1Projective
*
operator.source§impl Mul<Scalar> for G1Projective
impl Mul<Scalar> for G1Projective
§type Output = G1Projective
type Output = G1Projective
*
operator.source§impl<'b> MulAssign<&'b Scalar> for G1Projective
impl<'b> MulAssign<&'b Scalar> for G1Projective
source§fn mul_assign(&mut self, rhs: &'b Scalar)
fn mul_assign(&mut self, rhs: &'b Scalar)
*=
operation. Read moresource§impl MulAssign<Scalar> for G1Projective
impl MulAssign<Scalar> for G1Projective
source§fn mul_assign(&mut self, rhs: Scalar)
fn mul_assign(&mut self, rhs: Scalar)
*=
operation. Read moresource§impl<'a> Neg for &'a G1Projective
impl<'a> Neg for &'a G1Projective
§type Output = G1Projective
type Output = G1Projective
-
operator.source§fn neg(self) -> G1Projective
fn neg(self) -> G1Projective
-
operation. Read moresource§impl Neg for G1Projective
impl Neg for G1Projective
§type Output = G1Projective
type Output = G1Projective
-
operator.source§fn neg(self) -> G1Projective
fn neg(self) -> G1Projective
-
operation. Read moresource§impl PartialEq<G1Projective> for G1Projective
impl PartialEq<G1Projective> for G1Projective
source§fn eq(&self, other: &G1Projective) -> bool
fn eq(&self, other: &G1Projective) -> bool
self
and other
values to be equal, and is used
by ==
.source§impl PrimeCurve for G1Projective
impl PrimeCurve for G1Projective
source§impl<'a, 'b> Sub<&'b G1Affine> for &'a G1Projective
impl<'a, 'b> Sub<&'b G1Affine> for &'a G1Projective
§type Output = G1Projective
type Output = G1Projective
-
operator.source§impl<'b> Sub<&'b G1Affine> for G1Projective
impl<'b> Sub<&'b G1Affine> for G1Projective
§type Output = G1Projective
type Output = G1Projective
-
operator.source§impl<'a, 'b> Sub<&'b G1Projective> for &'a G1Affine
impl<'a, 'b> Sub<&'b G1Projective> for &'a G1Affine
§type Output = G1Projective
type Output = G1Projective
-
operator.source§fn sub(self, rhs: &'b G1Projective) -> G1Projective
fn sub(self, rhs: &'b G1Projective) -> G1Projective
-
operation. Read moresource§impl<'a, 'b> Sub<&'b G1Projective> for &'a G1Projective
impl<'a, 'b> Sub<&'b G1Projective> for &'a G1Projective
§type Output = G1Projective
type Output = G1Projective
-
operator.source§fn sub(self, rhs: &'b G1Projective) -> G1Projective
fn sub(self, rhs: &'b G1Projective) -> G1Projective
-
operation. Read moresource§impl<'b> Sub<&'b G1Projective> for G1Affine
impl<'b> Sub<&'b G1Projective> for G1Affine
§type Output = G1Projective
type Output = G1Projective
-
operator.source§fn sub(self, rhs: &'b G1Projective) -> G1Projective
fn sub(self, rhs: &'b G1Projective) -> G1Projective
-
operation. Read moresource§impl<'b> Sub<&'b G1Projective> for G1Projective
impl<'b> Sub<&'b G1Projective> for G1Projective
§type Output = G1Projective
type Output = G1Projective
-
operator.source§fn sub(self, rhs: &'b G1Projective) -> G1Projective
fn sub(self, rhs: &'b G1Projective) -> G1Projective
-
operation. Read moresource§impl<'a> Sub<G1Affine> for &'a G1Projective
impl<'a> Sub<G1Affine> for &'a G1Projective
§type Output = G1Projective
type Output = G1Projective
-
operator.source§impl Sub<G1Affine> for G1Projective
impl Sub<G1Affine> for G1Projective
§type Output = G1Projective
type Output = G1Projective
-
operator.source§impl<'a> Sub<G1Projective> for &'a G1Affine
impl<'a> Sub<G1Projective> for &'a G1Affine
§type Output = G1Projective
type Output = G1Projective
-
operator.source§fn sub(self, rhs: G1Projective) -> G1Projective
fn sub(self, rhs: G1Projective) -> G1Projective
-
operation. Read moresource§impl<'a> Sub<G1Projective> for &'a G1Projective
impl<'a> Sub<G1Projective> for &'a G1Projective
§type Output = G1Projective
type Output = G1Projective
-
operator.source§fn sub(self, rhs: G1Projective) -> G1Projective
fn sub(self, rhs: G1Projective) -> G1Projective
-
operation. Read moresource§impl Sub<G1Projective> for G1Affine
impl Sub<G1Projective> for G1Affine
§type Output = G1Projective
type Output = G1Projective
-
operator.source§fn sub(self, rhs: G1Projective) -> G1Projective
fn sub(self, rhs: G1Projective) -> G1Projective
-
operation. Read moresource§impl Sub<G1Projective> for G1Projective
impl Sub<G1Projective> for G1Projective
§type Output = G1Projective
type Output = G1Projective
-
operator.source§fn sub(self, rhs: G1Projective) -> G1Projective
fn sub(self, rhs: G1Projective) -> G1Projective
-
operation. Read moresource§impl<'b> SubAssign<&'b G1Affine> for G1Projective
impl<'b> SubAssign<&'b G1Affine> for G1Projective
source§fn sub_assign(&mut self, rhs: &'b G1Affine)
fn sub_assign(&mut self, rhs: &'b G1Affine)
-=
operation. Read moresource§impl<'b> SubAssign<&'b G1Projective> for G1Projective
impl<'b> SubAssign<&'b G1Projective> for G1Projective
source§fn sub_assign(&mut self, rhs: &'b G1Projective)
fn sub_assign(&mut self, rhs: &'b G1Projective)
-=
operation. Read moresource§impl SubAssign<G1Affine> for G1Projective
impl SubAssign<G1Affine> for G1Projective
source§fn sub_assign(&mut self, rhs: G1Affine)
fn sub_assign(&mut self, rhs: G1Affine)
-=
operation. Read moresource§impl SubAssign<G1Projective> for G1Projective
impl SubAssign<G1Projective> for G1Projective
source§fn sub_assign(&mut self, rhs: G1Projective)
fn sub_assign(&mut self, rhs: G1Projective)
-=
operation. Read moresource§impl<T> Sum<T> for G1Projectivewhere
T: Borrow<G1Projective>,
impl<T> Sum<T> for G1Projectivewhere T: Borrow<G1Projective>,
source§fn sum<I>(iter: I) -> G1Projectivewhere
I: Iterator<Item = T>,
fn sum<I>(iter: I) -> G1Projectivewhere I: Iterator<Item = T>,
Self
from the elements by
“summing up” the items.source§impl WnafGroup for G1Projective
impl WnafGroup for G1Projective
source§fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize
fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize
impl Copy for G1Projective
impl DefaultIsZeroes for G1Projective
impl Eq for G1Projective
impl PrimeGroup for G1Projective
Auto Trait Implementations§
impl RefUnwindSafe for G1Projective
impl Send for G1Projective
impl Sync for G1Projective
impl Unpin for G1Projective
impl UnwindSafe for G1Projective
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,
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to use its Binary
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§impl<T> Pipe for Twhere
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