Struct k256::ProjectivePoint

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pub struct ProjectivePoint { /* private fields */ }

Expand description

A point on the secp256k1 curve in projective coordinates.

Implementations

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impl ProjectivePoint

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pub const fn identity() -> ProjectivePoint

Returns the additive identity of SECP256k1, also known as the “neutral element” or “point at infinity”.

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pub fn generator() -> ProjectivePoint

Returns the base point of SECP256k1.

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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.

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pub fn endomorphism(&self) -> Self

Calculates SECP256k1 endomorphism: self * lambda.

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.

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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

Performs the conversion.

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impl FromEncodedPoint<Secp256k1> for ProjectivePoint

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

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

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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 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 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 Copy for ProjectivePoint

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impl Eq 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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pub 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,

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pub 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,

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pub 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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pub 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> Conv for T

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

Converts self into a target type. Read more

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impl<T> FmtForward for T

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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impl<T> From<T> for T

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pub fn from(t: T) -> T

Performs the conversion.

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

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pub fn into(self) -> U

Performs the conversion.

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impl<T> Pipe for T

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

Pipes a value into a function that cannot ordinarily be called in suffix position. Read more

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impl<T> PipeAsRef for T

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fn pipe_as_ref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R where
 Self: AsRef<T>,
 T: 'a,
 R: 'a,

Pipes a trait borrow into a function that cannot normally be called in suffix position. Read more

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fn pipe_as_mut<'a, T, R>(&'a mut self, func: impl FnOnce(&'a mut T) -> R) -> R where
 Self: AsMut<T>,
 T: 'a,
 R: 'a,

Pipes a trait mutable borrow into a function that cannot normally be called in suffix position. Read more

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impl<T> PipeBorrow for T

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fn pipe_borrow<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R where
 Self: Borrow<T>,
 T: 'a,
 R: 'a,

Pipes a trait borrow into a function that cannot normally be called in suffix position. Read more

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fn pipe_borrow_mut<'a, T, R>(
 &'a mut self,
 func: impl FnOnce(&'a mut T) -> R
) -> R where
 Self: BorrowMut<T>,
 T: 'a,
 R: 'a,

Pipes a trait mutable borrow into a function that cannot normally be called in suffix position. Read more

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impl<T> PipeDeref for T

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

Pipes a dereference into a function that cannot normally be called in suffix position. Read more

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

Pipes a mutable dereference into a function that cannot normally be called in suffix position. Read more

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impl<T> PipeRef for T

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

Pipes a reference into a function that cannot ordinarily be called in suffix position. Read more

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

Pipes a mutable reference into a function that cannot ordinarily be called in suffix position. Read more

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impl<T> Same<T> for T

type Output = T

Should always be Self

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impl<T> Tap for T

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fn tap<F, R>(self, func: F) -> Self where
F: FnOnce(&Self) -> R,

Provides immutable access for inspection. Read more

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fn tap_dbg<F, R>(self, func: F) -> Self where
F: FnOnce(&Self) -> R,

Calls tap in debug builds, and does nothing in release builds.

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fn tap_mut<F, R>(self, func: F) -> Self where
F: FnOnce(&mut Self) -> R,

Provides mutable access for modification. Read more

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fn tap_mut_dbg<F, R>(self, func: F) -> Self where
F: FnOnce(&mut Self) -> R,

Calls tap_mut in debug builds, and does nothing in release builds.

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impl<T, U> TapAsRef for T where
U: ?Sized,

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fn tap_ref<F, R>(self, func: F) -> Self where
Self: AsRef<T>,
F: FnOnce(&T) -> R,

Provides immutable access to the reference for inspection.

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fn tap_ref_dbg<F, R>(self, func: F) -> Self where
Self: AsRef<T>,
F: FnOnce(&T) -> R,

Calls tap_ref in debug builds, and does nothing in release builds.

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fn tap_ref_mut<F, R>(self, func: F) -> Self where
Self: AsMut<T>,
F: FnOnce(&mut T) -> R,

Provides mutable access to the reference for modification.

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fn tap_ref_mut_dbg<F, R>(self, func: F) -> Self where
Self: AsMut<T>,
F: FnOnce(&mut T) -> R,

Calls tap_ref_mut in debug builds, and does nothing in release builds.

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impl<T, U> TapBorrow for T where
U: ?Sized,

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fn tap_borrow<F, R>(self, func: F) -> Self where
Self: Borrow<T>,
F: FnOnce(&T) -> R,

Provides immutable access to the borrow for inspection. Read more

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fn tap_borrow_dbg<F, R>(self, func: F) -> Self where
Self: Borrow<T>,
F: FnOnce(&T) -> R,

Calls tap_borrow in debug builds, and does nothing in release builds.

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fn tap_borrow_mut<F, R>(self, func: F) -> Self where
Self: BorrowMut<T>,
F: FnOnce(&mut T) -> R,

Provides mutable access to the borrow for modification.

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fn tap_borrow_mut_dbg<F, R>(self, func: F) -> Self where
Self: BorrowMut<T>,
F: FnOnce(&mut T) -> R,

Calls tap_borrow_mut in debug builds, and does nothing in release builds. Read more

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impl<T> TapDeref for T

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fn tap_deref<F, R>(self, func: F) -> Self where
Self: Deref,
F: FnOnce(&Self::Target) -> R,

Immutably dereferences self for inspection.

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fn tap_deref_dbg<F, R>(self, func: F) -> Self where
Self: Deref,
F: FnOnce(&Self::Target) -> R,

Calls tap_deref in debug builds, and does nothing in release builds.

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fn tap_deref_mut<F, R>(self, func: F) -> Self where
Self: DerefMut,
F: FnOnce(&mut Self::Target) -> R,

Mutably dereferences self for modification.

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fn tap_deref_mut_dbg<F, R>(self, func: F) -> Self where
Self: DerefMut,
F: FnOnce(&mut Self::Target) -> R,

Calls tap_deref_mut in debug builds, and does nothing in release builds. Read more

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impl<T> TryConv for T

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

Attempts to convert self into a target type. 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.

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pub 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.

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

Performs the conversion.

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

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

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

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Struct k256::ProjectivePoint

Implementations

impl ProjectivePoint

pub const fn identity() -> ProjectivePoint

pub fn generator() -> ProjectivePoint

pub fn to_affine(&self) -> AffinePoint

pub fn double(&self) -> ProjectivePoint

pub fn endomorphism(&self) -> Self

Trait Implementations

impl Add<&'_ AffinePoint> for &ProjectivePoint

type Output = ProjectivePoint

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

impl Add<&'_ AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

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

impl Add<&'_ ProjectivePoint> for &ProjectivePoint

type Output = ProjectivePoint

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

impl Add<&'_ ProjectivePoint> for ProjectivePoint

type Output = ProjectivePoint

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

impl Add<AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

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

impl Add<ProjectivePoint> for ProjectivePoint

type Output = ProjectivePoint

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

impl AddAssign<&'_ AffinePoint> for ProjectivePoint

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

impl AddAssign<&'_ ProjectivePoint> for ProjectivePoint

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

impl AddAssign<AffinePoint> for ProjectivePoint

fn add_assign(&mut self, rhs: AffinePoint)

impl AddAssign<ProjectivePoint> for ProjectivePoint

fn add_assign(&mut self, rhs: ProjectivePoint)

impl Clone for ProjectivePoint

fn clone(&self) -> ProjectivePoint

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

impl ConditionallySelectable for ProjectivePoint

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

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

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

impl ConstantTimeEq for ProjectivePoint

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

impl Curve for ProjectivePoint

type AffineRepr = AffinePoint

fn to_affine(&self) -> AffinePoint

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

impl Debug for ProjectivePoint

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

impl Default for ProjectivePoint

fn default() -> Self

impl From<AffinePoint> for ProjectivePoint

fn from(p: AffinePoint) -> Self

impl FromEncodedPoint<Secp256k1> for ProjectivePoint

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

impl Group for ProjectivePoint

type Scalar = Scalar

fn random(rng: impl RngCore) -> Self

fn identity() -> Self

fn generator() -> Self

fn is_identity(&self) -> Choice

fn double(&self) -> Self

impl Mul<&'_ Scalar> for &ProjectivePoint

type Output = ProjectivePoint

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

impl Mul<&'_ Scalar> for ProjectivePoint

type Output = ProjectivePoint

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

impl Mul<Scalar> for ProjectivePoint

type Output = ProjectivePoint

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

impl MulAssign<&'_ Scalar> for ProjectivePoint

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

impl MulAssign<Scalar> for ProjectivePoint

fn mul_assign(&mut self, rhs: Scalar)

impl Neg for ProjectivePoint

type Output = ProjectivePoint

fn neg(self) -> ProjectivePoint

impl<'a> Neg for &'a ProjectivePoint

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

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

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

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

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

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

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

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

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

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

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

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

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

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