Struct halo2curves::pasta::EpAffine

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pub struct EpAffine { /* private fields */ }

Expand description

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

Trait Implementations

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

type Output = Ep

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

type Output = Ep

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

type Output = Ep

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

type Output = Ep

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

type Output = Ep

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

type Output = Ep

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

type Output = Ep

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl Add<Ep> for EpAffine

type Output = Ep

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

type Output = Ep

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

type Output = Ep

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl Add<EpAffine> for Ep

type Output = Ep

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl Add<EpAffine> for EpAffine

type Output = Ep

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

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

Performs the += operation. Read more

impl AddAssign<EpAffine> for Ep

fn add_assign(&mut self, rhs: EpAffine)

Performs the += operation. Read more

impl Clone for EpAffine

fn clone(&self) -> EpAffine

Returns a copy of the value. Read more

1.0.0 · source

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

Performs copy-assignment from source. Read more

impl CofactorCurveAffine for EpAffine

type Curve = Ep

type Scalar = Fq

fn identity() -> EpAffine

Returns the additive identity.

fn generator() -> EpAffine

Returns a fixed generator of unknown exponent.

fn is_identity(&self) -> Choice

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

fn to_curve(&self) -> <EpAffine as CofactorCurveAffine>::Curve

Converts this element to its curve representation.

impl ConditionallySelectable for EpAffine

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

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

impl ConstantTimeEq for EpAffine

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

Determine if two items are equal. Read more

impl CurveAffine for EpAffine

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

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

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

Gets the coordinates of this point. Read more

fn from_xy(
x: <EpAffine as CurveAffine>::Base,
y: <EpAffine as CurveAffine>::Base
) -> CtOption<EpAffine>

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

fn a() -> <EpAffine as CurveAffine>::Base

Returns the curve constant $a$.

fn b() -> <EpAffine as CurveAffine>::Base

Returns the curve constant $b$.

impl Debug for EpAffine

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

Formats the value using the given formatter. Read more

impl Default for EpAffine

fn default() -> EpAffine

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

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

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

Converts to this type from the input type.

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

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

Converts to this type from the input type.

impl From<Ep> for EpAffine

fn from(p: Ep) -> EpAffine

Converts to this type from the input type.

impl From<EpAffine> for Ep

fn from(p: EpAffine) -> Ep

Converts to this type from the input type.

impl GroupEncoding for EpAffine

type Repr = [u8; 32]

The encoding of group elements. Read more

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

Attempts to deserialize a group element from its encoding.

fn from_bytes_unchecked(
bytes: &<EpAffine as GroupEncoding>::Repr
) -> CtOption<EpAffine>

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

fn to_bytes(&self) -> [u8; 32]

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

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

type Output = Ep

The resulting type after applying the * operator.

fn mul(self, other: &'b Fq) -> <&'a EpAffine as Mul<&'b Fq>>::Output

Performs the * operation. Read more

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

type Output = Ep

The resulting type after applying the * operator.

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

Performs the * operation. Read more

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

type Output = Ep

The resulting type after applying the * operator.

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

Performs the * operation. Read more

impl Mul<Fq> for EpAffine

type Output = Ep

The resulting type after applying the * operator.

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

Performs the * operation. Read more

impl<'a> Neg for &'a EpAffine

type Output = EpAffine

The resulting type after applying the - operator.

fn neg(self) -> EpAffine

Performs the unary - operation. Read more

impl Neg for EpAffine

type Output = EpAffine

The resulting type after applying the - operator.

fn neg(self) -> EpAffine

Performs the unary - operation. Read more

impl PartialEq<EpAffine> for EpAffine

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

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

1.0.0 · source

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

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

impl PrimeCurveAffine for EpAffine

type Curve = Ep

type Scalar = Fq

fn generator() -> EpAffine

Returns a fixed generator of unknown exponent.

fn identity() -> EpAffine

Returns the additive identity.

fn is_identity(&self) -> Choice

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

fn to_curve(&self) -> <EpAffine as PrimeCurveAffine>::Curve

Converts this element to its curve representation.

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

type Output = Ep

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

type Output = Ep

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

type Output = Ep

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

type Output = Ep

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

type Output = Ep

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

type Output = Ep

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

type Output = Ep

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl Sub<Ep> for EpAffine

type Output = Ep

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

type Output = Ep

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

type Output = Ep

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl Sub<EpAffine> for Ep

type Output = Ep

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl Sub<EpAffine> for EpAffine

type Output = Ep

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

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

Performs the -= operation. Read more

impl SubAssign<EpAffine> for Ep

fn sub_assign(&mut self, rhs: EpAffine)

Performs the -= operation. Read more

impl Copy for EpAffine

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 Twhere
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 Twhere
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 Twhere
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 Twhere
T: ConditionallySelectable,
&'a T: for<'a> 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) -> Twhere
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

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

Formats each item in a sequence. 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 Twhere
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 Twhere
T: ?Sized,

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

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) -> Rwhere
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) -> Rwhere
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) -> Rwhere
 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
) -> Rwhere
 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) -> Rwhere
 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) -> Rwhere
 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) -> Rwhere
 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) -> Rwhere
 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)) -> Selfwhere
Self: Borrow,
B: ?Sized,

Immutable access to the Borrow of a value. Read more

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

Mutable access to the BorrowMut of a value. Read more

fn tap_ref<R>(self, func: impl FnOnce(&R)) -> Selfwhere
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)) -> Selfwhere
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)) -> Selfwhere
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)) -> Selfwhere
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)) -> Selfwhere
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)) -> Selfwhere
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)) -> Selfwhere
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)) -> Selfwhere
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)) -> Selfwhere
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)) -> Selfwhere
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 Twhere
T: Clone,

type Owned = T

The resulting type after obtaining ownership.

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fn to_owned(&self) -> T

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

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

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

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 Twhere
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 Twhere
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.

Struct halo2curves::pasta::EpAffine

Trait Implementations

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

type Output = Ep

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

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

type Output = Ep

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

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

type Output = Ep

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

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

type Output = Ep

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

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

type Output = Ep

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

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

type Output = Ep

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

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

type Output = Ep

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

impl Add<Ep> for EpAffine

type Output = Ep

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

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

type Output = Ep

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

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

type Output = Ep

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

impl Add<EpAffine> for Ep

type Output = Ep

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

impl Add<EpAffine> for EpAffine

type Output = Ep

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

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

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

impl AddAssign<EpAffine> for Ep

fn add_assign(&mut self, rhs: EpAffine)

impl Clone for EpAffine

fn clone(&self) -> EpAffine

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

impl CofactorCurveAffine for EpAffine

type Curve = Ep

type Scalar = Fq

fn identity() -> EpAffine

fn generator() -> EpAffine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <EpAffine as CofactorCurveAffine>::Curve

impl ConditionallySelectable for EpAffine

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

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

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

impl ConstantTimeEq for EpAffine

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

impl CurveAffine for EpAffine

type ScalarExt = Fq

type Base = Fp

type CurveExt = Ep

fn is_on_curve(&self) -> Choice

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

fn from_xy( x: <EpAffine as CurveAffine>::Base, y: <EpAffine as CurveAffine>::Base) -> CtOption<EpAffine>

fn a() -> <EpAffine as CurveAffine>::Base

fn b() -> <EpAffine as CurveAffine>::Base

impl Debug for EpAffine

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

impl Default for EpAffine

fn default() -> EpAffine

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

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

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

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

impl From<Ep> for EpAffine

fn from(p: Ep) -> EpAffine

impl From<EpAffine> for Ep

fn from(p: EpAffine) -> Ep

impl GroupEncoding for EpAffine

fn from_xy(
x: <EpAffine as CurveAffine>::Base,
y: <EpAffine as CurveAffine>::Base
) -> CtOption<EpAffine>

fn from_bytes_unchecked(
bytes: &<EpAffine as GroupEncoding>::Repr
) -> CtOption<EpAffine>