Struct pasta_curves::EpAffine

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#[repr(C)]
pub struct EpAffine { /* private fields */ }

Expand description

Represents a point in the affine coordinate space (or the point at infinity).

Trait Implementations

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impl<'a, 'b> Add<&'a Ep> for &'b EpAffine

type Output = Ep

The resulting type after applying the + operator.

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fn add(self, rhs: &'a Ep) -> Ep

Performs the + operation. Read more

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impl<'a, 'b> Add<&'a EpAffine> for &'b Ep

type Output = Ep

The resulting type after applying the + operator.

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fn add(self, rhs: &'a EpAffine) -> Ep

Performs the + operation. Read more

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impl<'a, 'b> Add<&'a EpAffine> for &'b EpAffine

type Output = Ep

The resulting type after applying the + operator.

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fn add(self, rhs: &'a EpAffine) -> Ep

Performs the + operation. Read more

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impl<'b> Add<&'b Ep> for EpAffine

type Output = Ep

The resulting type after applying the + operator.

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fn add(self, rhs: &'b Ep) -> Ep

Performs the + operation. Read more

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impl<'b> Add<&'b EpAffine> for Ep

type Output = Ep

The resulting type after applying the + operator.

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fn add(self, rhs: &'b EpAffine) -> Ep

Performs the + operation. Read more

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impl<'b> Add<&'b EpAffine> for EpAffine

type Output = Ep

The resulting type after applying the + operator.

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fn add(self, rhs: &'b EpAffine) -> Ep

Performs the + operation. Read more

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impl<'a> Add<Ep> for &'a EpAffine

type Output = Ep

The resulting type after applying the + operator.

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fn add(self, rhs: Ep) -> Ep

Performs the + operation. Read more

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impl Add<Ep> for EpAffine

type Output = Ep

The resulting type after applying the + operator.

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fn add(self, rhs: Ep) -> Ep

Performs the + operation. Read more

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impl<'a> Add<EpAffine> for &'a Ep

type Output = Ep

The resulting type after applying the + operator.

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fn add(self, rhs: EpAffine) -> Ep

Performs the + operation. Read more

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impl Add<EpAffine> for Ep

type Output = Ep

The resulting type after applying the + operator.

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fn add(self, rhs: EpAffine) -> Ep

Performs the + operation. Read more

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impl<'a> Add<EpAffine> for &'a EpAffine

type Output = Ep

The resulting type after applying the + operator.

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fn add(self, rhs: EpAffine) -> Ep

Performs the + operation. Read more

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impl Add<EpAffine> for EpAffine

type Output = Ep

The resulting type after applying the + operator.

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fn add(self, rhs: EpAffine) -> Ep

Performs the + operation. Read more

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impl<'b> AddAssign<&'b EpAffine> for Ep

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fn add_assign(&mut self, rhs: &'b EpAffine)

Performs the += operation. Read more

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impl AddAssign<EpAffine> for Ep

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fn add_assign(&mut self, rhs: EpAffine)

Performs the += operation. Read more

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impl Clone for EpAffine

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fn clone(&self) -> EpAffine

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 CofactorCurveAffine for EpAffine

type Curve = Ep

type Scalar = Fq

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fn identity() -> Self

Returns the additive identity.

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fn generator() -> Self

Returns a fixed generator of unknown exponent.

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fn is_identity(&self) -> Choice

Determines if this point represents the point at infinity; the additive identity. Read more

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fn to_curve(&self) -> Self::Curve

Converts this element to its curve representation.

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impl ConditionallySelectable for EpAffine

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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 EpAffine

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

Determine if two items are equal. Read more

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impl CurveAffine for EpAffine

Available on crate feature alloc only.

type ScalarExt = Fq

The scalar field of this elliptic curve.

type Base = Fp

The base field over which this elliptic curve is constructed.

type CurveExt = Ep

The projective form of the curve

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fn is_on_curve(&self) -> Choice

Returns whether or not this element is on the curve; should always be true unless an “unchecked” API was used. Read more

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fn coordinates(&self) -> CtOption<Coordinates<Self>>

Gets the coordinates of this point. Read more

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fn from_xy(x: Self::Base, y: Self::Base) -> CtOption<Self>

Obtains a point given $(x, y)$, failing if it is not on the curve. Read more

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fn a() -> Self::Base

Returns the curve constant $a$.

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fn b() -> Self::Base

Returns the curve constant $b$.

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impl Debug for EpAffine

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

Formats the value using the given formatter. Read more

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impl Default for EpAffine

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fn default() -> EpAffine

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

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impl<'a> From<&'a Ep> for EpAffine

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fn from(p: &'a Ep) -> EpAffine

Converts to this type from the input type.

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impl<'a> From<&'a EpAffine> for Ep

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fn from(p: &'a EpAffine) -> Ep

Converts to this type from the input type.

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impl From<Ep> for EpAffine

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fn from(p: Ep) -> EpAffine

Converts to this type from the input type.

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impl From<EpAffine> for Ep

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fn from(p: EpAffine) -> Ep

Converts to this type from the input type.

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impl GroupEncoding for EpAffine

type Repr = [u8 ; 32]

The encoding of group elements. Read more

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fn from_bytes(bytes: &[u8 ; 32]) -> 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) -> [u8 ; 32]

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

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impl<'a, 'b> Mul<&'b Fq> for &'a EpAffine

type Output = Ep

The resulting type after applying the * operator.

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fn mul(self, other: &'b Fq) -> Self::Output

Performs the * operation. Read more

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impl<'b> Mul<&'b Fq> for EpAffine

type Output = Ep

The resulting type after applying the * operator.

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fn mul(self, rhs: &'b Fq) -> Ep

Performs the * operation. Read more

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impl<'a> Mul<Fq> for &'a EpAffine

type Output = Ep

The resulting type after applying the * operator.

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fn mul(self, rhs: Fq) -> Ep

Performs the * operation. Read more

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impl Mul<Fq> for EpAffine

type Output = Ep

The resulting type after applying the * operator.

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fn mul(self, rhs: Fq) -> Ep

Performs the * operation. Read more

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impl<'a> Neg for &'a EpAffine

type Output = EpAffine

The resulting type after applying the - operator.

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fn neg(self) -> EpAffine

Performs the unary - operation. Read more

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impl Neg for EpAffine

type Output = EpAffine

The resulting type after applying the - operator.

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fn neg(self) -> EpAffine

Performs the unary - operation. Read more

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impl PartialEq<EpAffine> for EpAffine

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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 PrimeCurveAffine for EpAffine

type Curve = Ep

type Scalar = Fq

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fn generator() -> Self

Returns a fixed generator of unknown exponent.

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fn identity() -> Self

Returns the additive identity.

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fn is_identity(&self) -> Choice

Determines if this point represents the point at infinity; the additive identity. Read more

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fn to_curve(&self) -> Self::Curve

Converts this element to its curve representation.

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impl<'a, 'b> Sub<&'a Ep> for &'b EpAffine

type Output = Ep

The resulting type after applying the - operator.

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fn sub(self, other: &'a Ep) -> Ep

Performs the - operation. Read more

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impl<'a, 'b> Sub<&'a EpAffine> for &'b Ep

type Output = Ep

The resulting type after applying the - operator.

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fn sub(self, other: &'a EpAffine) -> Ep

Performs the - operation. Read more

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impl<'a, 'b> Sub<&'a EpAffine> for &'b EpAffine

type Output = Ep

The resulting type after applying the - operator.

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fn sub(self, other: &'a EpAffine) -> Ep

Performs the - operation. Read more

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impl<'b> Sub<&'b Ep> for EpAffine

type Output = Ep

The resulting type after applying the - operator.

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fn sub(self, rhs: &'b Ep) -> Ep

Performs the - operation. Read more

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impl<'b> Sub<&'b EpAffine> for Ep

type Output = Ep

The resulting type after applying the - operator.

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fn sub(self, rhs: &'b EpAffine) -> Ep

Performs the - operation. Read more

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impl<'b> Sub<&'b EpAffine> for EpAffine

type Output = Ep

The resulting type after applying the - operator.

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fn sub(self, rhs: &'b EpAffine) -> Ep

Performs the - operation. Read more

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impl<'a> Sub<Ep> for &'a EpAffine

type Output = Ep

The resulting type after applying the - operator.

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fn sub(self, rhs: Ep) -> Ep

Performs the - operation. Read more

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impl Sub<Ep> for EpAffine

type Output = Ep

The resulting type after applying the - operator.

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fn sub(self, rhs: Ep) -> Ep

Performs the - operation. Read more

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impl<'a> Sub<EpAffine> for &'a Ep

type Output = Ep

The resulting type after applying the - operator.

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fn sub(self, rhs: EpAffine) -> Ep

Performs the - operation. Read more

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impl Sub<EpAffine> for Ep

type Output = Ep

The resulting type after applying the - operator.

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fn sub(self, rhs: EpAffine) -> Ep

Performs the - operation. Read more

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impl<'a> Sub<EpAffine> for &'a EpAffine

type Output = Ep

The resulting type after applying the - operator.

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fn sub(self, rhs: EpAffine) -> Ep

Performs the - operation. Read more

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impl Sub<EpAffine> for EpAffine

type Output = Ep

The resulting type after applying the - operator.

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fn sub(self, rhs: EpAffine) -> Ep

Performs the - operation. Read more

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impl<'b> SubAssign<&'b EpAffine> for Ep

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fn sub_assign(&mut self, rhs: &'b EpAffine)

Performs the -= operation. Read more

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impl SubAssign<EpAffine> for Ep

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fn sub_assign(&mut self, rhs: EpAffine)

Performs the -= operation. Read more

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impl Copy for EpAffine

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impl Eq for EpAffine

Auto Trait Implementations

impl RefUnwindSafe for EpAffine

impl Send for EpAffine

impl Sync for EpAffine

impl Unpin for EpAffine

impl UnwindSafe for EpAffine

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

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

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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.

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

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

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

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: 'a + ?Sized,
 R: 'a,

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: 'a + ?Sized,
 R: 'a,

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: 'a + ?Sized,
 R: 'a,

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>,
 T: 'a + ?Sized,
 R: 'a,

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,
 T: 'a + ?Sized,
 R: 'a,

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

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

Immutable access to the Borrow of a value. Read more

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

Mutable access to the BorrowMut of a value. Read more

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

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

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

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. Read more

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. 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

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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)

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

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

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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.