pub struct SubgroupPoint(/* private fields */);
Available on crate feature group only.
Expand description

A SubgroupPoint represents a point on the Edwards form of Curve25519, that is guaranteed to be in the prime-order subgroup.

Trait Implementations§

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impl Add<&SubgroupPoint> for &EdwardsPoint

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type Output = EdwardsPoint

The resulting type after applying the + operator.
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fn add(self, other: &SubgroupPoint) -> EdwardsPoint

Performs the + operation. Read more
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impl Add<&SubgroupPoint> for &SubgroupPoint

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type Output = SubgroupPoint

The resulting type after applying the + operator.
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fn add(self, other: &SubgroupPoint) -> SubgroupPoint

Performs the + operation. Read more
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impl<'b> Add<&'b SubgroupPoint> for EdwardsPoint

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type Output = EdwardsPoint

The resulting type after applying the + operator.
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fn add(self, rhs: &'b SubgroupPoint) -> EdwardsPoint

Performs the + operation. Read more
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impl<'b> Add<&'b SubgroupPoint> for SubgroupPoint

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type Output = SubgroupPoint

The resulting type after applying the + operator.
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fn add(self, rhs: &'b SubgroupPoint) -> SubgroupPoint

Performs the + operation. Read more
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impl<'a> Add<SubgroupPoint> for &'a EdwardsPoint

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type Output = EdwardsPoint

The resulting type after applying the + operator.
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fn add(self, rhs: SubgroupPoint) -> EdwardsPoint

Performs the + operation. Read more
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impl<'a> Add<SubgroupPoint> for &'a SubgroupPoint

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type Output = SubgroupPoint

The resulting type after applying the + operator.
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fn add(self, rhs: SubgroupPoint) -> SubgroupPoint

Performs the + operation. Read more
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impl Add<SubgroupPoint> for EdwardsPoint

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type Output = EdwardsPoint

The resulting type after applying the + operator.
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fn add(self, rhs: SubgroupPoint) -> EdwardsPoint

Performs the + operation. Read more
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impl Add for SubgroupPoint

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type Output = SubgroupPoint

The resulting type after applying the + operator.
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fn add(self, rhs: SubgroupPoint) -> SubgroupPoint

Performs the + operation. Read more
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impl AddAssign<&SubgroupPoint> for EdwardsPoint

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fn add_assign(&mut self, rhs: &SubgroupPoint)

Performs the += operation. Read more
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impl AddAssign<&SubgroupPoint> for SubgroupPoint

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fn add_assign(&mut self, rhs: &SubgroupPoint)

Performs the += operation. Read more
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impl AddAssign<SubgroupPoint> for EdwardsPoint

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fn add_assign(&mut self, rhs: SubgroupPoint)

Performs the += operation. Read more
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impl AddAssign for SubgroupPoint

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fn add_assign(&mut self, rhs: SubgroupPoint)

Performs the += operation. Read more
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impl Clone for SubgroupPoint

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fn clone(&self) -> SubgroupPoint

Returns a copy 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 Debug for SubgroupPoint

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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 From<SubgroupPoint> for EdwardsPoint

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fn from(p: SubgroupPoint) -> Self

Converts to this type from the input type.
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impl Group for SubgroupPoint

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type Scalar = Scalar

Scalars modulo the order of this group’s scalar field.
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fn random(rng: impl RngCore) -> Self

Returns an element chosen uniformly at random from the non-identity elements of this group. Read more
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fn identity() -> Self

Returns the additive identity, also known as the “neutral element”.
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fn generator() -> Self

Returns a fixed generator of the prime-order subgroup.
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fn is_identity(&self) -> Choice

Determines if this point is the identity.
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fn double(&self) -> Self

Doubles this element.
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impl GroupEncoding for SubgroupPoint

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type Repr = <EdwardsPoint as GroupEncoding>::Repr

The encoding of group elements. Read more
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fn from_bytes(bytes: &Self::Repr) -> CtOption<Self>

Attempts to deserialize a group element from its encoding.
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fn from_bytes_unchecked(bytes: &Self::Repr) -> CtOption<Self>

Attempts to deserialize a group element, not checking if the element is valid. Read more
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fn to_bytes(&self) -> Self::Repr

Converts this element into its byte encoding. This may or may not support encoding the identity.
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impl Mul<&Scalar> for &SubgroupPoint

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fn mul(self, scalar: &Scalar) -> SubgroupPoint

Scalar multiplication: compute scalar * self.

For scalar multiplication of a basepoint, EdwardsBasepointTable is approximately 4x faster.

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type Output = SubgroupPoint

The resulting type after applying the * operator.
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impl<'b> Mul<&'b Scalar> for SubgroupPoint

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type Output = SubgroupPoint

The resulting type after applying the * operator.
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fn mul(self, rhs: &'b Scalar) -> SubgroupPoint

Performs the * operation. Read more
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impl Mul<&SubgroupPoint> for &Scalar

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fn mul(self, point: &SubgroupPoint) -> SubgroupPoint

Scalar multiplication: compute scalar * self.

For scalar multiplication of a basepoint, EdwardsBasepointTable is approximately 4x faster.

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type Output = SubgroupPoint

The resulting type after applying the * operator.
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impl<'b> Mul<&'b SubgroupPoint> for Scalar

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type Output = SubgroupPoint

The resulting type after applying the * operator.
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fn mul(self, rhs: &'b SubgroupPoint) -> SubgroupPoint

Performs the * operation. Read more
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impl<'a> Mul<Scalar> for &'a SubgroupPoint

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type Output = SubgroupPoint

The resulting type after applying the * operator.
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fn mul(self, rhs: Scalar) -> SubgroupPoint

Performs the * operation. Read more
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impl Mul<Scalar> for SubgroupPoint

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type Output = SubgroupPoint

The resulting type after applying the * operator.
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fn mul(self, rhs: Scalar) -> SubgroupPoint

Performs the * operation. Read more
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impl<'a> Mul<SubgroupPoint> for &'a Scalar

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type Output = SubgroupPoint

The resulting type after applying the * operator.
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fn mul(self, rhs: SubgroupPoint) -> SubgroupPoint

Performs the * operation. Read more
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impl Mul<SubgroupPoint> for Scalar

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type Output = SubgroupPoint

The resulting type after applying the * operator.
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fn mul(self, rhs: SubgroupPoint) -> SubgroupPoint

Performs the * operation. Read more
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impl MulAssign<&Scalar> for SubgroupPoint

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fn mul_assign(&mut self, scalar: &Scalar)

Performs the *= operation. Read more
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impl MulAssign<Scalar> for SubgroupPoint

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fn mul_assign(&mut self, rhs: Scalar)

Performs the *= operation. Read more
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impl Neg for SubgroupPoint

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type Output = SubgroupPoint

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl PartialEq for SubgroupPoint

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

This method tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl Sub<&SubgroupPoint> for &EdwardsPoint

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type Output = EdwardsPoint

The resulting type after applying the - operator.
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fn sub(self, other: &SubgroupPoint) -> EdwardsPoint

Performs the - operation. Read more
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impl Sub<&SubgroupPoint> for &SubgroupPoint

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type Output = SubgroupPoint

The resulting type after applying the - operator.
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fn sub(self, other: &SubgroupPoint) -> SubgroupPoint

Performs the - operation. Read more
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impl<'b> Sub<&'b SubgroupPoint> for EdwardsPoint

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type Output = EdwardsPoint

The resulting type after applying the - operator.
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fn sub(self, rhs: &'b SubgroupPoint) -> EdwardsPoint

Performs the - operation. Read more
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impl<'b> Sub<&'b SubgroupPoint> for SubgroupPoint

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type Output = SubgroupPoint

The resulting type after applying the - operator.
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fn sub(self, rhs: &'b SubgroupPoint) -> SubgroupPoint

Performs the - operation. Read more
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impl<'a> Sub<SubgroupPoint> for &'a EdwardsPoint

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type Output = EdwardsPoint

The resulting type after applying the - operator.
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fn sub(self, rhs: SubgroupPoint) -> EdwardsPoint

Performs the - operation. Read more
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impl<'a> Sub<SubgroupPoint> for &'a SubgroupPoint

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type Output = SubgroupPoint

The resulting type after applying the - operator.
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fn sub(self, rhs: SubgroupPoint) -> SubgroupPoint

Performs the - operation. Read more
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impl Sub<SubgroupPoint> for EdwardsPoint

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type Output = EdwardsPoint

The resulting type after applying the - operator.
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fn sub(self, rhs: SubgroupPoint) -> EdwardsPoint

Performs the - operation. Read more
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impl Sub for SubgroupPoint

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type Output = SubgroupPoint

The resulting type after applying the - operator.
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fn sub(self, rhs: SubgroupPoint) -> SubgroupPoint

Performs the - operation. Read more
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impl SubAssign<&SubgroupPoint> for EdwardsPoint

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fn sub_assign(&mut self, rhs: &SubgroupPoint)

Performs the -= operation. Read more
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impl SubAssign<&SubgroupPoint> for SubgroupPoint

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fn sub_assign(&mut self, rhs: &SubgroupPoint)

Performs the -= operation. Read more
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impl SubAssign<SubgroupPoint> for EdwardsPoint

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fn sub_assign(&mut self, rhs: SubgroupPoint)

Performs the -= operation. Read more
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impl SubAssign for SubgroupPoint

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fn sub_assign(&mut self, rhs: SubgroupPoint)

Performs the -= operation. Read more
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impl<T> Sum<T> for SubgroupPoint

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fn sum<I>(iter: I) -> Self
where I: Iterator<Item = T>,

Method which takes an iterator and generates Self from the elements by “summing up” the items.
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impl Copy for SubgroupPoint

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impl Eq for SubgroupPoint

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impl PrimeGroup for SubgroupPoint

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impl StructuralPartialEq for SubgroupPoint

Auto Trait Implementations§

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