Struct p384::ProjectivePoint

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pub struct ProjectivePoint { /* private fields */ }

Available on crate feature arithmetic only.

Expand description

A point on the secP384r1 curve in projective coordinates.

Implementations

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impl ProjectivePoint

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pub const GENERATOR: Self = Self { x: AffinePoint::GENERATOR.x, y: AffinePoint::GENERATOR.y, z: FieldElement::ONE, }

Base point of P-384.

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pub const IDENTITY: Self = Self { x: FieldElement::ZERO, y: FieldElement::ONE, z: FieldElement::ZERO, }

Additive identity of the group: the point at infinity.

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pub const fn identity() -> ProjectivePoint

👎 Deprecated since 0.10.1:

use ProjectivePoint::IDENTITY instead

Returns the additive identity of P-384, also known as the “neutral element” or “point at infinity”.

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pub fn generator() -> ProjectivePoint

👎 Deprecated since 0.10.1:

use ProjectivePoint::GENERATOR instead

Returns the base point of P-384.

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pub fn to_affine(&self) -> AffinePoint

Returns the affine representation of this point, or None if it is the identity.

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pub fn double(&self) -> ProjectivePoint

Doubles this point.

Trait Implementations

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impl Add<&'_ AffinePoint> for &ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the + operator.

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fn add(self, other: &AffinePoint) -> ProjectivePoint

Performs the + operation. Read more

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impl Add<&'_ AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the + operator.

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fn add(self, other: &AffinePoint) -> ProjectivePoint

Performs the + operation. Read more

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impl Add<&'_ ProjectivePoint> for &ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the + operator.

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fn add(self, other: &ProjectivePoint) -> ProjectivePoint

Performs the + operation. Read more

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impl Add<&'_ ProjectivePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the + operator.

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fn add(self, other: &ProjectivePoint) -> ProjectivePoint

Performs the + operation. Read more

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impl Add<AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the + operator.

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fn add(self, other: AffinePoint) -> ProjectivePoint

Performs the + operation. Read more

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impl Add<ProjectivePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the + operator.

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fn add(self, other: ProjectivePoint) -> ProjectivePoint

Performs the + operation. Read more

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impl AddAssign<&'_ AffinePoint> for ProjectivePoint

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

Performs the += operation. Read more

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impl AddAssign<&'_ ProjectivePoint> for ProjectivePoint

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

Performs the += operation. Read more

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impl AddAssign<AffinePoint> for ProjectivePoint

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fn add_assign(&mut self, rhs: AffinePoint)

Performs the += operation. Read more

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impl AddAssign<ProjectivePoint> for ProjectivePoint

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fn add_assign(&mut self, rhs: ProjectivePoint)

Performs the += operation. Read more

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impl Clone for ProjectivePoint

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fn clone(&self) -> ProjectivePoint

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 ConditionallySelectable for ProjectivePoint

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fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self

Select a or b according to choice. Read more

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fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice. Read more

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fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves. Read more

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impl ConstantTimeEq for ProjectivePoint

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fn ct_eq(&self, other: &Self) -> Choice

Determine if two items are equal. Read more

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impl Curve for ProjectivePoint

type AffineRepr = AffinePoint

The affine representation for this elliptic curve.

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fn to_affine(&self) -> AffinePoint

Converts this element into its affine representation.

fn batch_normalize(p: &[Self], q: &mut [Self::AffineRepr])

Converts a batch of projective elements into affine elements. This function will panic if p.len() != q.len(). Read more

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impl Debug for ProjectivePoint

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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 Default for ProjectivePoint

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fn default() -> Self

Returns the “default value” for a type. Read more

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impl From<&'_ AffinePoint> for ProjectivePoint

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fn from(p: &AffinePoint) -> Self

Converts to this type from the input type.

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impl From<&'_ ProjectivePoint> for AffinePoint

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fn from(p: &ProjectivePoint) -> AffinePoint

Converts to this type from the input type.

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impl From<&'_ PublicKey<NistP384>> for ProjectivePoint

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fn from(public_key: &PublicKey) -> ProjectivePoint

Converts to this type from the input type.

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impl From<AffinePoint> for ProjectivePoint

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fn from(p: AffinePoint) -> Self

Converts to this type from the input type.

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impl From<ProjectivePoint> for AffinePoint

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fn from(p: ProjectivePoint) -> AffinePoint

Converts to this type from the input type.

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impl From<PublicKey<NistP384>> for ProjectivePoint

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fn from(public_key: PublicKey) -> ProjectivePoint

Converts to this type from the input type.

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impl FromEncodedPoint<NistP384> for ProjectivePoint

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fn from_encoded_point(p: &EncodedPoint) -> CtOption<Self>

Deserialize the type this trait is impl’d on from an EncodedPoint.

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impl Group for ProjectivePoint

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 ProjectivePoint

type Repr = GenericArray<u8, UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B1>, B0>, B0>, B0>, B1>>

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. Read more

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impl LinearCombination for ProjectivePoint

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fn lincomb(x: &Self, k: &Self::Scalar, y: &Self, l: &Self::Scalar) -> Self

Calculates x * k + y * l.

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impl Mul<&'_ Scalar> for &ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the * operator.

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fn mul(self, other: &Scalar) -> ProjectivePoint

Performs the * operation. Read more

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impl Mul<&'_ Scalar> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the * operator.

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fn mul(self, other: &Scalar) -> ProjectivePoint

Performs the * operation. Read more

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impl Mul<Scalar> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the * operator.

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fn mul(self, other: Scalar) -> ProjectivePoint

Performs the * operation. Read more

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impl MulAssign<&'_ Scalar> for ProjectivePoint

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

Performs the *= operation. Read more

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impl MulAssign<Scalar> for ProjectivePoint

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fn mul_assign(&mut self, rhs: Scalar)

Performs the *= operation. Read more

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impl Neg for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

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fn neg(self) -> ProjectivePoint

Performs the unary - operation. Read more

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impl<'a> Neg for &'a ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

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fn neg(self) -> ProjectivePoint

Performs the unary - operation. Read more

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impl PartialEq<ProjectivePoint> for ProjectivePoint

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

This method tests for self and other values to be equal, and is used by ==. Read more

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fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

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impl PrimeCurve for ProjectivePoint

type Affine = AffinePoint

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impl Sub<&'_ AffinePoint> for &ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

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fn sub(self, other: &AffinePoint) -> ProjectivePoint

Performs the - operation. Read more

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impl Sub<&'_ AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

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fn sub(self, other: &AffinePoint) -> ProjectivePoint

Performs the - operation. Read more

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impl Sub<&'_ ProjectivePoint> for &ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

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fn sub(self, other: &ProjectivePoint) -> ProjectivePoint

Performs the - operation. Read more

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impl Sub<&'_ ProjectivePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

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fn sub(self, other: &ProjectivePoint) -> ProjectivePoint

Performs the - operation. Read more

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impl Sub<AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

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fn sub(self, other: AffinePoint) -> ProjectivePoint

Performs the - operation. Read more

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impl Sub<ProjectivePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

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fn sub(self, other: ProjectivePoint) -> ProjectivePoint

Performs the - operation. Read more

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impl SubAssign<&'_ AffinePoint> for ProjectivePoint

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

Performs the -= operation. Read more

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impl SubAssign<&'_ ProjectivePoint> for ProjectivePoint

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

Performs the -= operation. Read more

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impl SubAssign<AffinePoint> for ProjectivePoint

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fn sub_assign(&mut self, rhs: AffinePoint)

Performs the -= operation. Read more

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impl SubAssign<ProjectivePoint> for ProjectivePoint

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fn sub_assign(&mut self, rhs: ProjectivePoint)

Performs the -= operation. Read more

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impl<'a> Sum<&'a ProjectivePoint> for ProjectivePoint

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fn sum<I: Iterator<Item = &'a ProjectivePoint>>(iter: I) -> Self

Method which takes an iterator and generates Self from the elements by “summing up” the items. Read more

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impl Sum<ProjectivePoint> for ProjectivePoint

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

Method which takes an iterator and generates Self from the elements by “summing up” the items. Read more

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impl ToEncodedPoint<NistP384> for ProjectivePoint

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fn to_encoded_point(&self, compress: bool) -> EncodedPoint

Serialize this value as a SEC1 EncodedPoint, optionally applying point compression. Read more

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impl TryFrom<&'_ ProjectivePoint> for PublicKey

type Error = Error

The type returned in the event of a conversion error.

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fn try_from(point: &ProjectivePoint) -> Result<PublicKey>

Performs the conversion.

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impl TryFrom<ProjectivePoint> for PublicKey

type Error = Error

The type returned in the event of a conversion error.

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fn try_from(point: ProjectivePoint) -> Result<PublicKey>

Performs the conversion.

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impl PrimeGroup for ProjectivePoint

Auto Trait Implementations

impl RefUnwindSafe for ProjectivePoint

impl Send for ProjectivePoint

impl Sync for ProjectivePoint

impl Unpin for ProjectivePoint

impl UnwindSafe for ProjectivePoint

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,

const: unstable · source

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,

const: unstable · source

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

Mutably borrows from an owned value. Read more

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impl<T> ConditionallyNegatable for T where
 T: ConditionallySelectable,
 &'a T: for<'a> Neg,
 <&'a T as Neg>::Output == T,

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fn conditional_negate(&mut self, choice: Choice)

Negate self if choice == Choice(1); otherwise, leave it unchanged. Read more

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impl<T> From<T> for T

const: unstable · source

fn from(t: T) -> T

Returns the argument unchanged.

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

const: unstable · source

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> Same<T> for T

type Output = T

Should always be Self

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

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, U> TryFrom for T where
U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

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impl<T, U> TryInto for T where
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

impl<Z> Zeroize for Z where
Z: DefaultIsZeroes,

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. Read more