AffinePoint

primeorder

Struct AffinePoint 

Source 
pub struct AffinePoint<C: PrimeCurveParams> { /* private fields */ }
Expand description

Point on a Weierstrass curve in affine coordinates.

Implementations§

Source§

impl<C> AffinePoint<C>
where C: PrimeCurveParams,

Source

pub const IDENTITY: Self

Additive identity of the group a.k.a. the point at infinity.

Source

pub const GENERATOR: Self

Base point of the curve.

Source

pub fn is_identity(&self) -> Choice

Is this point the point at infinity?

Trait Implementations§

Source§

impl<C> Add<&AffinePoint<C>> for &ProjectivePoint<C>
where C: PrimeCurveParams,

Source§

type Output = ProjectivePoint<C>

The resulting type after applying the + operator.
Source§

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

Performs the + operation. Read more
Source§

impl<C> Add<&AffinePoint<C>> for ProjectivePoint<C>
where C: PrimeCurveParams,

Source§

type Output = ProjectivePoint<C>

The resulting type after applying the + operator.
Source§

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

Performs the + operation. Read more
Source§

impl<C> Add<AffinePoint<C>> for ProjectivePoint<C>
where C: PrimeCurveParams,

Source§

type Output = ProjectivePoint<C>

The resulting type after applying the + operator.
Source§

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

Performs the + operation. Read more
Source§

impl<C> AddAssign<&AffinePoint<C>> for ProjectivePoint<C>
where C: PrimeCurveParams,

Source§

fn add_assign(&mut self, rhs: &AffinePoint<C>)

Performs the += operation. Read more
Source§

impl<C> AddAssign<AffinePoint<C>> for ProjectivePoint<C>
where C: PrimeCurveParams,

Source§

fn add_assign(&mut self, rhs: AffinePoint<C>)

Performs the += operation. Read more
Source§

impl<C> AffineCoordinates for AffinePoint<C>
where C: PrimeCurveParams,

Source§

type FieldRepr = GenericArray<u8, <C as Curve>::FieldBytesSize>

Field element representation.
Source§

fn x(&self) -> FieldBytes<C>

Get the affine x-coordinate as a serialized field element.
Source§

fn y_is_odd(&self) -> Choice

Is the affine y-coordinate odd?
Source§

impl<C: Clone + PrimeCurveParams> Clone for AffinePoint<C>
where C::FieldElement: Clone,

Source§

fn clone(&self) -> AffinePoint<C>

Returns a duplicate of the value. Read more
1.0.0 · Source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
Source§

impl<C> ConditionallySelectable for AffinePoint<C>
where C: PrimeCurveParams,

Source§

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

Select a or b according to choice. Read more
Source§

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

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

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
Source§

impl<C> ConstantTimeEq for AffinePoint<C>
where C: PrimeCurveParams,

Source§

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

Determine if two items are equal. Read more
Source§

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

Determine if two items are NOT equal. Read more
Source§

impl<C: Debug + PrimeCurveParams> Debug for AffinePoint<C>
where C::FieldElement: Debug,

Source§

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

Formats the value using the given formatter. Read more
Source§

impl<C> DecompactPoint<C> for AffinePoint<C>
where C: PrimeCurveParams, FieldBytes<C>: Copy,

Source§

fn decompact(x_bytes: &FieldBytes<C>) -> CtOption<Self>

Attempt to decompact an elliptic curve point
Source§

impl<C> DecompressPoint<C> for AffinePoint<C>
where C: PrimeCurveParams, FieldBytes<C>: Copy,

Source§

fn decompress(x_bytes: &FieldBytes<C>, y_is_odd: Choice) -> CtOption<Self>

Attempt to decompress an elliptic curve point.
Source§

impl<C> Default for AffinePoint<C>
where C: PrimeCurveParams,

Source§

fn default() -> Self

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

impl<C> From<&AffinePoint<C>> for ProjectivePoint<C>
where C: PrimeCurveParams,

Source§

fn from(p: &AffinePoint<C>) -> Self

Converts to this type from the input type.
Source§

impl<C> From<&ProjectivePoint<C>> for AffinePoint<C>
where C: PrimeCurveParams,

Source§

fn from(p: &ProjectivePoint<C>) -> AffinePoint<C>

Converts to this type from the input type.
Source§

impl<C> From<&PublicKey<C>> for AffinePoint<C>
where C: PrimeCurveParams,

Source§

fn from(public_key: &PublicKey<C>) -> AffinePoint<C>

Converts to this type from the input type.
Source§

impl<C> From<AffinePoint<C>> for EncodedPoint<C>
where C: PrimeCurveParams, FieldBytesSize<C>: ModulusSize, CompressedPoint<C>: Copy, <UncompressedPointSize<C> as ArrayLength<u8>>::ArrayType: Copy,

Source§

fn from(affine: AffinePoint<C>) -> EncodedPoint<C>

Converts to this type from the input type.
Source§

impl<C> From<AffinePoint<C>> for ProjectivePoint<C>
where C: PrimeCurveParams,

Source§

fn from(p: AffinePoint<C>) -> Self

Converts to this type from the input type.
Source§

impl<C> From<ProjectivePoint<C>> for AffinePoint<C>
where C: PrimeCurveParams,

Source§

fn from(p: ProjectivePoint<C>) -> AffinePoint<C>

Converts to this type from the input type.
Source§

impl<C> From<PublicKey<C>> for AffinePoint<C>
where C: PrimeCurveParams,

Source§

fn from(public_key: PublicKey<C>) -> AffinePoint<C>

Converts to this type from the input type.
Source§

impl<C> FromEncodedPoint<C> for AffinePoint<C>
where C: PrimeCurveParams, FieldBytes<C>: Copy, FieldBytesSize<C>: ModulusSize, CompressedPoint<C>: Copy,

Source§

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

Attempts to parse the given EncodedPoint as an SEC1-encoded AffinePoint.

§Returns

None value if encoded_point is not on the secp384r1 curve.

Source§

impl<C> GroupEncoding for AffinePoint<C>
where C: PrimeCurveParams, FieldBytes<C>: Copy, FieldBytesSize<C>: ModulusSize, CompressedPoint<C>: Copy, <UncompressedPointSize<C> as ArrayLength<u8>>::ArrayType: Copy,

Source§

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

NOTE: not constant-time with respect to identity point

Source§

type Repr = GenericArray<u8, <<C as Curve>::FieldBytesSize as ModulusSize>::CompressedPointSize>

The encoding of group elements. Read more
Source§

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

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

fn to_bytes(&self) -> Self::Repr

Converts this element into its byte encoding. This may or may not support encoding the identity.
Source§

impl<C, S> Mul<S> for AffinePoint<C>
where C: PrimeCurveParams, S: Borrow<Scalar<C>>, ProjectivePoint<C>: Double,

Source§

type Output = ProjectivePoint<C>

The resulting type after applying the * operator.
Source§

fn mul(self, scalar: S) -> ProjectivePoint<C>

Performs the * operation. Read more
Source§

impl<C> Neg for &AffinePoint<C>
where C: PrimeCurveParams,

Source§

type Output = AffinePoint<C>

The resulting type after applying the - operator.
Source§

fn neg(self) -> AffinePoint<C>

Performs the unary - operation. Read more
Source§

impl<C> Neg for AffinePoint<C>
where C: PrimeCurveParams,

Source§

type Output = AffinePoint<C>

The resulting type after applying the - operator.
Source§

fn neg(self) -> Self

Performs the unary - operation. Read more
Source§

impl<C> PartialEq for AffinePoint<C>
where C: PrimeCurveParams,

Source§

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

Tests for self and other values to be equal, and is used by ==.
1.0.0 · Source§

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
Source§

impl<C> PrimeCurveAffine for AffinePoint<C>
where C: PrimeCurveParams, FieldBytes<C>: Copy, FieldBytesSize<C>: ModulusSize, ProjectivePoint<C>: Double, CompressedPoint<C>: Copy, <UncompressedPointSize<C> as ArrayLength<u8>>::ArrayType: Copy,

Source§

type Curve = ProjectivePoint<C>

Source§

type Scalar = <C as CurveArithmetic>::Scalar

Source§

fn identity() -> AffinePoint<C>

Returns the additive identity.
Source§

fn generator() -> AffinePoint<C>

Returns a fixed generator of unknown exponent.
Source§

fn is_identity(&self) -> Choice

Determines if this point represents the point at infinity; the additive identity.
Source§

fn to_curve(&self) -> ProjectivePoint<C>

Converts this element to its curve representation.
Source§

impl<C> Sub<&AffinePoint<C>> for &ProjectivePoint<C>
where C: PrimeCurveParams,

Source§

type Output = ProjectivePoint<C>

The resulting type after applying the - operator.
Source§

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

Performs the - operation. Read more
Source§

impl<C> Sub<&AffinePoint<C>> for ProjectivePoint<C>
where C: PrimeCurveParams,

Source§

type Output = ProjectivePoint<C>

The resulting type after applying the - operator.
Source§

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

Performs the - operation. Read more
Source§

impl<C> Sub<AffinePoint<C>> for ProjectivePoint<C>
where C: PrimeCurveParams,

Source§

type Output = ProjectivePoint<C>

The resulting type after applying the - operator.
Source§

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

Performs the - operation. Read more
Source§

impl<C> SubAssign<&AffinePoint<C>> for ProjectivePoint<C>
where C: PrimeCurveParams,

Source§

fn sub_assign(&mut self, rhs: &AffinePoint<C>)

Performs the -= operation. Read more
Source§

impl<C> SubAssign<AffinePoint<C>> for ProjectivePoint<C>
where C: PrimeCurveParams,

Source§

fn sub_assign(&mut self, rhs: AffinePoint<C>)

Performs the -= operation. Read more
Source§

impl<C> ToCompactEncodedPoint<C> for AffinePoint<C>
where C: PrimeCurveParams, FieldBytesSize<C>: ModulusSize, CompressedPoint<C>: Copy, <UncompressedPointSize<C> as ArrayLength<u8>>::ArrayType: Copy,

Source§

fn to_compact_encoded_point(&self) -> CtOption<EncodedPoint<C>>

Serialize this value as a SEC1 compact EncodedPoint

Source§

impl<C> ToEncodedPoint<C> for AffinePoint<C>
where C: PrimeCurveParams, FieldBytesSize<C>: ModulusSize, CompressedPoint<C>: Copy, <UncompressedPointSize<C> as ArrayLength<u8>>::ArrayType: Copy,

Source§

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

Serialize this value as a SEC1 EncodedPoint, optionally applying point compression.
Source§

impl<C> TryFrom<&AffinePoint<C>> for PublicKey<C>
where C: PrimeCurveParams,

Source§

type Error = Error

The type returned in the event of a conversion error.
Source§

fn try_from(affine_point: &AffinePoint<C>) -> Result<PublicKey<C>>

Performs the conversion.
Source§

impl<C> TryFrom<&EncodedPoint<<C as Curve>::FieldBytesSize>> for AffinePoint<C>
where C: PrimeCurveParams, FieldBytes<C>: Copy, FieldBytesSize<C>: ModulusSize, CompressedPoint<C>: Copy,

Source§

type Error = Error

The type returned in the event of a conversion error.
Source§

fn try_from(point: &EncodedPoint<C>) -> Result<AffinePoint<C>>

Performs the conversion.
Source§

impl<C> TryFrom<AffinePoint<C>> for PublicKey<C>
where C: PrimeCurveParams,

Source§

type Error = Error

The type returned in the event of a conversion error.
Source§

fn try_from(affine_point: AffinePoint<C>) -> Result<PublicKey<C>>

Performs the conversion.
Source§

impl<C> TryFrom<EncodedPoint<<C as Curve>::FieldBytesSize>> for AffinePoint<C>
where C: PrimeCurveParams, FieldBytes<C>: Copy, FieldBytesSize<C>: ModulusSize, CompressedPoint<C>: Copy,

Source§

type Error = Error

The type returned in the event of a conversion error.
Source§

fn try_from(point: EncodedPoint<C>) -> Result<AffinePoint<C>>

Performs the conversion.
Source§

impl<C: Copy + PrimeCurveParams> Copy for AffinePoint<C>
where C::FieldElement: Copy,

Source§

impl<C> DefaultIsZeroes for AffinePoint<C>
where C: PrimeCurveParams,

Source§

impl<C> Eq for AffinePoint<C>
where C: PrimeCurveParams,

Auto Trait Implementations§

Blanket Implementations§

Source§

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

Source§

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
Source§

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

Source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
Source§

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

Source§

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

Mutably borrows from an owned value. Read more
Source§

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

Source§

unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
Source§

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

Source§

fn conditional_negate(&mut self, choice: Choice)

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

impl<T> Conv for T

Source§

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

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

impl<T> FmtForward for T

Source§

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

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

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

Causes self to use its Display implementation when Debug-formatted.
Source§

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

Causes self to use its LowerExp implementation when Debug-formatted.
Source§

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

Causes self to use its LowerHex implementation when Debug-formatted.
Source§

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

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

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

Causes self to use its Pointer implementation when Debug-formatted.
Source§

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

Causes self to use its UpperExp implementation when Debug-formatted.
Source§

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

Causes self to use its UpperHex implementation when Debug-formatted.
Source§

fn fmt_list(self) -> FmtList<Self>
where &'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more
Source§

impl<T> From<T> for T

Source§

fn from(t: T) -> T

Returns the argument unchanged.

Source§

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

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.

Source§

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

Source§

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

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

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
Source§

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

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

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

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

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

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

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

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

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

Mutably borrows self, then passes self.as_mut() into the pipe function.
Source§

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

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

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

Mutably borrows self, then passes self.deref_mut() into the pipe function.
Source§

impl<T> Same for T

Source§

type Output = T

Should always be Self
Source§

impl<T> Tap for T

Source§

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

Immutable access to a value. Read more
Source§

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

Mutable access to a value. Read more
Source§

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

Immutable access to the Borrow<B> of a value. Read more
Source§

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

Mutable access to the BorrowMut<B> of a value. Read more
Source§

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
Source§

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
Source§

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
Source§

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
Source§

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

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

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

Calls .tap_mut() only in debug builds, and is erased in release builds.
Source§

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.
Source§

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.
Source§

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.
Source§

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

Calls .tap_ref_mut() only in debug builds, and is erased in release builds.
Source§

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

Calls .tap_deref() only in debug builds, and is erased in release builds.
Source§

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.
Source§

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

Source§

type Owned = T

The resulting type after obtaining ownership.
Source§

fn to_owned(&self) -> T

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

fn clone_into(&self, target: &mut T)

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

impl<T> TryConv for T

Source§

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

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

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

Source§

type Error = Infallible

The type returned in the event of a conversion error.
Source§

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

Performs the conversion.
Source§

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

Source§

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
Source§

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

Performs the conversion.
Source§

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

Source§

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.