Struct p256::ProjectivePoint[−][src]

pub struct ProjectivePoint { /* fields omitted */ }

This is supported on crate feature arithmetic only.

Expand description

A point on the secp256r1 curve in projective coordinates.

Implementations

impl ProjectivePoint[src]

pub const fn identity() -> ProjectivePoint[src]

Returns the additive identity of P-256, also known as the “neutral element” or “point at infinity”.

pub fn generator() -> ProjectivePoint[src]

Returns the base point of P-256.

pub fn to_affine(&self) -> AffinePoint[src]

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

pub fn double(&self) -> ProjectivePoint[src]

Doubles this point.

Trait Implementations

impl Add<&'_ AffinePoint> for &ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl Add<&'_ AffinePoint> for ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl Add<&'_ ProjectivePoint> for &ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl Add<&'_ ProjectivePoint> for ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl Add<AffinePoint> for ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl Add<ProjectivePoint> for ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the + operator.

fn add(self, other: ProjectivePoint) -> ProjectivePoint[src]

Performs the + operation. Read more

impl AddAssign<&'_ AffinePoint> for ProjectivePoint[src]

fn add_assign(&mut self, rhs: &AffinePoint)[src]

Performs the += operation. Read more

impl AddAssign<&'_ ProjectivePoint> for ProjectivePoint[src]

fn add_assign(&mut self, rhs: &ProjectivePoint)[src]

Performs the += operation. Read more

impl AddAssign<AffinePoint> for ProjectivePoint[src]

fn add_assign(&mut self, rhs: AffinePoint)[src]

Performs the += operation. Read more

impl AddAssign<ProjectivePoint> for ProjectivePoint[src]

fn add_assign(&mut self, rhs: ProjectivePoint)[src]

Performs the += operation. Read more

impl Clone for ProjectivePoint[src]

fn clone(&self) -> ProjectivePoint[src]

Returns a copy of the value. Read more

fn clone_from(&mut self, source: &Self)1.0.0 [src]

Performs copy-assignment from source. Read more

impl ConditionallySelectable for ProjectivePoint[src]

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

Select a or b according to choice. Read more

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

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

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

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

impl ConstantTimeEq for ProjectivePoint[src]

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

Determine if two items are equal. Read more

impl Curve for ProjectivePoint[src]

type AffineRepr = AffinePoint

The affine representation for this elliptic curve.

fn to_affine(&self) -> AffinePoint[src]

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

impl Debug for ProjectivePoint[src]

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

Formats the value using the given formatter. Read more

impl Default for ProjectivePoint[src]

fn default() -> Self[src]

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

impl From<AffinePoint> for ProjectivePoint[src]

fn from(p: AffinePoint) -> Self[src]

Performs the conversion.

impl From<ProjectivePoint> for AffinePoint[src]

fn from(p: ProjectivePoint) -> AffinePoint[src]

Performs the conversion.

impl FromEncodedPoint<NistP256> for ProjectivePoint[src]

fn from_encoded_point(p: &EncodedPoint) -> Option<Self>[src]

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

impl Group for ProjectivePoint[src]

type Scalar = Scalar

Scalars modulo the order of this group’s scalar field.

fn random(rng: impl RngCore) -> Self[src]

Returns an element chosen uniformly at random from the non-identity elements of this group. Read more

fn identity() -> Self[src]

Returns the additive identity, also known as the “neutral element”.

fn generator() -> Self[src]

Returns a fixed generator of the prime-order subgroup.

fn is_identity(&self) -> Choice[src]

Determines if this point is the identity.

#[must_use]
fn double(&self) -> Self

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Doubles this element.

impl GroupEncoding for ProjectivePoint[src]

type Repr = CompressedPoint

The encoding of group elements. Read more

fn from_bytes(bytes: &Self::Repr) -> CtOption<Self>[src]

Attempts to deserialize a group element from its encoding.

fn from_bytes_unchecked(bytes: &Self::Repr) -> CtOption<Self>[src]

Attempts to deserialize a group element, not checking if the element is valid. Read more

fn to_bytes(&self) -> Self::Repr[src]

Converts this element into its byte encoding. This may or may not support encoding the identity. Read more

impl Mul<&'_ Scalar> for &ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the * operator.

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

Performs the * operation. Read more

impl Mul<&'_ Scalar> for ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the * operator.

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

Performs the * operation. Read more

impl Mul<Scalar> for ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the * operator.

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

Performs the * operation. Read more

impl MulAssign<&'_ Scalar> for ProjectivePoint[src]

fn mul_assign(&mut self, rhs: &Scalar)[src]

Performs the *= operation. Read more

impl MulAssign<Scalar> for ProjectivePoint[src]

fn mul_assign(&mut self, rhs: Scalar)[src]

Performs the *= operation. Read more

impl Neg for ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the - operator.

fn neg(self) -> ProjectivePoint[src]

Performs the unary - operation. Read more

impl<'a> Neg for &'a ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the - operator.

fn neg(self) -> ProjectivePoint[src]

Performs the unary - operation. Read more

impl PartialEq<ProjectivePoint> for ProjectivePoint[src]

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

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

#[must_use]
fn ne(&self, other: &Rhs) -> bool

1.0.0 [src]

This method tests for !=.

impl PrimeCurve for ProjectivePoint[src]

type Affine = AffinePoint

impl Sub<&'_ AffinePoint> for &ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl Sub<&'_ AffinePoint> for ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl Sub<&'_ ProjectivePoint> for &ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl Sub<&'_ ProjectivePoint> for ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl Sub<AffinePoint> for ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl Sub<ProjectivePoint> for ProjectivePoint[src]

type Output = ProjectivePoint

The resulting type after applying the - operator.

fn sub(self, other: ProjectivePoint) -> ProjectivePoint[src]

Performs the - operation. Read more

impl SubAssign<&'_ AffinePoint> for ProjectivePoint[src]

fn sub_assign(&mut self, rhs: &AffinePoint)[src]

Performs the -= operation. Read more

impl SubAssign<&'_ ProjectivePoint> for ProjectivePoint[src]

fn sub_assign(&mut self, rhs: &ProjectivePoint)[src]

Performs the -= operation. Read more

impl SubAssign<AffinePoint> for ProjectivePoint[src]

fn sub_assign(&mut self, rhs: AffinePoint)[src]

Performs the -= operation. Read more

impl SubAssign<ProjectivePoint> for ProjectivePoint[src]

fn sub_assign(&mut self, rhs: ProjectivePoint)[src]

Performs the -= operation. Read more

impl<'a> Sum<&'a ProjectivePoint> for ProjectivePoint[src]

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

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

impl Sum<ProjectivePoint> for ProjectivePoint[src]

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

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

impl ToEncodedPoint<NistP256> for ProjectivePoint[src]

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

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

impl Copy for ProjectivePoint[src]

impl Eq for ProjectivePoint[src]

impl PrimeGroup for ProjectivePoint[src]

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

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

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pub fn type_id(&self) -> TypeId[src]

Gets the TypeId of self. Read more

impl<T> Borrow<T> for T where
    T: ?Sized,

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pub fn borrow(&self) -> &T[src]

Immutably borrows from an owned value. Read more

impl<T> BorrowMut<T> for T where
    T: ?Sized,

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pub fn borrow_mut(&mut self) -> &mut T[src]

Mutably borrows from an owned value. Read more

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

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pub fn conditional_negate(&mut self, choice: Choice)[src]

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

impl<T> Conv for T

fn conv<T>(self) -> T where
    Self: Into<T>,

Converts self into T using Into<T>. Read more

impl<T> FmtForward for T

fn fmt_binary(self) -> FmtBinary<Self> where
    Self: Binary,

Causes self to use its Binary implementation when Debug-formatted.

fn fmt_display(self) -> FmtDisplay<Self> where
    Self: Display,

Causes self to use its Display implementation when Debug-formatted. Read more

fn fmt_lower_exp(self) -> FmtLowerExp<Self> where
    Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted. Read more

fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
    Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted. Read more

fn fmt_octal(self) -> FmtOctal<Self> where
    Self: Octal,

Causes self to use its Octal implementation when Debug-formatted.

fn fmt_pointer(self) -> FmtPointer<Self> where
    Self: Pointer,

Causes self to use its Pointer implementation when Debug-formatted. Read more

fn fmt_upper_exp(self) -> FmtUpperExp<Self> where
    Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted. Read more

fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
    Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted. Read more

impl<T> From<T> for T[src]

pub fn from(t: T) -> T[src]

Performs the conversion.

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

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pub fn into(self) -> U[src]

Performs the conversion.

impl<T> Pipe for T where
    T: ?Sized,

fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> R

Pipes by value. This is generally the method you want to use. Read more

fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a Self) -> R) -> R where
    R: 'a,

Borrows self and passes that borrow into the pipe function. Read more

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    R: 'a,

Mutably borrows self and passes that borrow into the pipe function. Read more

fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R where
    Self: Borrow<B>,
    R: 'a,
    B: 'a + ?Sized,

Borrows self, then passes self.borrow() into the pipe function. Read more

fn pipe_borrow_mut<'a, B, R>(
    &'a mut self, 
    func: impl FnOnce(&'a mut B) -> R
) -> R where
    Self: BorrowMut<B>,
    R: 'a,
    B: 'a + ?Sized,

Mutably borrows self, then passes self.borrow_mut() into the pipe function. Read more

fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R where
    Self: AsRef<U>,
    R: 'a,
    U: 'a + ?Sized,

Borrows self, then passes self.as_ref() into the pipe function.

fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R where
    Self: AsMut<U>,
    R: 'a,
    U: 'a + ?Sized,

Mutably borrows self, then passes self.as_mut() into the pipe function. Read more

fn pipe_deref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R where
    Self: Deref<Target = T>,
    R: 'a,
    T: 'a + ?Sized,

Borrows self, then passes self.deref() into the pipe function.

fn pipe_deref_mut<'a, T, R>(
    &'a mut self, 
    func: impl FnOnce(&'a mut T) -> R
) -> R where
    Self: DerefMut<Target = T> + Deref,
    R: 'a,
    T: 'a + ?Sized,

Mutably borrows self, then passes self.deref_mut() into the pipe function. Read more

impl<T> Same<T> for T

type Output = T

Should always be Self

impl<T> Tap for T

fn tap(self, func: impl FnOnce(&Self)) -> Self

Immutable access to a value. Read more

fn tap_mut(self, func: impl FnOnce(&mut Self)) -> Self

Mutable access to a value. Read more

fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self where
    Self: Borrow<B>,
    B: ?Sized,

Immutable access to the Borrow of a value. Read more

fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self where
    Self: BorrowMut<B>,
    B: ?Sized,

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fn tap_ref<R>(self, func: impl FnOnce(&R)) -> Self where
    Self: AsRef<R>,
    R: ?Sized,

Immutable access to the AsRef<R> view of a value. Read more

fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self where
    Self: AsMut<R>,
    R: ?Sized,

Mutable access to the AsMut<R> view of a value. Read more

fn tap_deref<T>(self, func: impl FnOnce(&T)) -> Self where
    Self: Deref<Target = T>,
    T: ?Sized,

Immutable access to the Deref::Target of a value. Read more

fn tap_deref_mut<T>(self, func: impl FnOnce(&mut T)) -> Self where
    Self: DerefMut<Target = T> + Deref,
    T: ?Sized,

Mutable access to the Deref::Target of a value. Read more

fn tap_dbg(self, func: impl FnOnce(&Self)) -> Self

Calls .tap() only in debug builds, and is erased in release builds.

fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self

Calls .tap_mut() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Self where
    Self: Borrow<B>,
    B: ?Sized,

Calls .tap_borrow() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Self where
    Self: BorrowMut<B>,
    B: ?Sized,

Calls .tap_borrow_mut() only in debug builds, and is erased in release builds. Read more

fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Self where
    Self: AsRef<R>,
    R: ?Sized,

Calls .tap_ref() only in debug builds, and is erased in release builds. Read more

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    Self: AsMut<R>,
    R: ?Sized,

Calls .tap_ref_mut() only in debug builds, and is erased in release builds. Read more

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    Self: Deref<Target = T>,
    T: ?Sized,

Calls .tap_deref() only in debug builds, and is erased in release builds. Read more

fn tap_deref_mut_dbg<T>(self, func: impl FnOnce(&mut T)) -> Self where
    Self: DerefMut<Target = T> + Deref,
    T: ?Sized,

Calls .tap_deref_mut() only in debug builds, and is erased in release builds. Read more

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

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type Owned = T

The resulting type after obtaining ownership.

pub fn to_owned(&self) -> T[src]

Creates owned data from borrowed data, usually by cloning. Read more

pub fn clone_into(&self, target: &mut T)[src]

🔬 This is a nightly-only experimental API. (toowned_clone_into)

recently added

Uses borrowed data to replace owned data, usually by cloning. Read more

impl<T> TryConv for T

fn try_conv<T>(self) -> Result<T, Self::Error> where
    Self: TryInto<T>,

Attempts to convert self into T using TryInto<T>. Read more

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.

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

Performs the conversion.

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

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type Error = >::Error

The type returned in the event of a conversion error.

pub fn try_into(self) -> Result<U, >::Error>[src]

Performs the conversion.

impl<T, Rhs, Output> GroupOps<Rhs, Output> for T where
    T: Add<Rhs, Output = Output> + Sub<Rhs, Output = Output> + AddAssign<Rhs> + SubAssign<Rhs>,

impl<T, Rhs, Output> GroupOpsOwned<Rhs, Output> for T where
    T: for<'r> GroupOps<&'r Rhs, Output>,

impl<T, Rhs, Output> ScalarMul<Rhs, Output> for T where
    T: Mul<Rhs, Output = Output> + MulAssign<Rhs>,

impl<T, Rhs, Output> ScalarMulOwned<Rhs, Output> for T where
    T: for<'r> ScalarMul<&'r Rhs, Output>,