Struct halo2curves::pasta::EqAffine

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pub struct EqAffine { /* private fields */ }

Expand description

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

Trait Implementations

impl<'a, 'b> Add<&'a Eq> for &'b EqAffine

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl<'a, 'b> Add<&'a EqAffine> for &'b Eq

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl<'b> Add<&'b Eq> for EqAffine

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl<'b> Add<&'b EqAffine> for Eq

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl<'a> Add<Eq> for &'a EqAffine

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl Add<Eq> for EqAffine

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl<'a> Add<EqAffine> for &'a Eq

type Output = Eq

The resulting type after applying the + operator.

fn add(self, rhs: EqAffine) -> Eq

Performs the + operation. Read more

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

type Output = Eq

The resulting type after applying the + operator.

fn add(self, rhs: EqAffine) -> Eq

Performs the + operation. Read more

impl Add<EqAffine> for Eq

type Output = Eq

The resulting type after applying the + operator.

fn add(self, rhs: EqAffine) -> Eq

Performs the + operation. Read more

impl Add<EqAffine> for EqAffine

type Output = Eq

The resulting type after applying the + operator.

fn add(self, rhs: EqAffine) -> Eq

Performs the + operation. Read more

impl<'b> AddAssign<&'b EqAffine> for Eq

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

Performs the += operation. Read more

impl AddAssign<EqAffine> for Eq

fn add_assign(&mut self, rhs: EqAffine)

Performs the += operation. Read more

impl Clone for EqAffine

fn clone(&self) -> EqAffine

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 EqAffine

type Curve = Eq

type Scalar = Fp

fn identity() -> EqAffine

Returns the additive identity.

fn generator() -> EqAffine

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) -> <EqAffine as CofactorCurveAffine>::Curve

Converts this element to its curve representation.

impl ConditionallySelectable for EqAffine

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

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 EqAffine

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

Determine if two items are equal. Read more

impl CurveAffine for EqAffine

type ScalarExt = Fp

The scalar field of this elliptic curve.

type Base = Fq

The base field over which this elliptic curve is constructed.

type CurveExt = Eq

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<EqAffine>>

Gets the coordinates of this point. Read more

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

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

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

Returns the curve constant $a$.

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

Returns the curve constant $b$.

impl Debug for EqAffine

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

Formats the value using the given formatter. Read more

impl Default for EqAffine

fn default() -> EqAffine

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

impl<'a> From<&'a Eq> for EqAffine

fn from(p: &'a Eq) -> EqAffine

Converts to this type from the input type.

impl<'a> From<&'a EqAffine> for Eq

fn from(p: &'a EqAffine) -> Eq

Converts to this type from the input type.

impl From<Eq> for EqAffine

fn from(p: Eq) -> EqAffine

Converts to this type from the input type.

impl From<EqAffine> for Eq

fn from(p: EqAffine) -> Eq

Converts to this type from the input type.

impl GroupEncoding for EqAffine

type Repr = [u8; 32]

The encoding of group elements. Read more

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

Attempts to deserialize a group element from its encoding.

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

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 Fp> for &'a EqAffine

type Output = Eq

The resulting type after applying the * operator.

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

Performs the * operation. Read more

impl<'b> Mul<&'b Fp> for EqAffine

type Output = Eq

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Fp) -> Eq

Performs the * operation. Read more

impl<'a> Mul<Fp> for &'a EqAffine

type Output = Eq

The resulting type after applying the * operator.

fn mul(self, rhs: Fp) -> Eq

Performs the * operation. Read more

impl Mul<Fp> for EqAffine

type Output = Eq

The resulting type after applying the * operator.

fn mul(self, rhs: Fp) -> Eq

Performs the * operation. Read more

impl<'a> Neg for &'a EqAffine

type Output = EqAffine

The resulting type after applying the - operator.

fn neg(self) -> EqAffine

Performs the unary - operation. Read more

impl Neg for EqAffine

type Output = EqAffine

The resulting type after applying the - operator.

fn neg(self) -> EqAffine

Performs the unary - operation. Read more

impl PartialEq<EqAffine> for EqAffine

fn eq(&self, other: &EqAffine) -> 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 !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

impl PrimeCurveAffine for EqAffine

type Curve = Eq

type Scalar = Fp

fn generator() -> EqAffine

Returns a fixed generator of unknown exponent.

fn identity() -> EqAffine

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) -> <EqAffine as PrimeCurveAffine>::Curve

Converts this element to its curve representation.

impl<'a, 'b> Sub<&'a Eq> for &'b EqAffine

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl<'a, 'b> Sub<&'a EqAffine> for &'b Eq

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl<'b> Sub<&'b Eq> for EqAffine

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl<'b> Sub<&'b EqAffine> for Eq

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl<'a> Sub<Eq> for &'a EqAffine

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl Sub<Eq> for EqAffine

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl<'a> Sub<EqAffine> for &'a Eq

type Output = Eq

The resulting type after applying the - operator.

fn sub(self, rhs: EqAffine) -> Eq

Performs the - operation. Read more

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

type Output = Eq

The resulting type after applying the - operator.

fn sub(self, rhs: EqAffine) -> Eq

Performs the - operation. Read more

impl Sub<EqAffine> for Eq

type Output = Eq

The resulting type after applying the - operator.

fn sub(self, rhs: EqAffine) -> Eq

Performs the - operation. Read more

impl Sub<EqAffine> for EqAffine

type Output = Eq

The resulting type after applying the - operator.

fn sub(self, rhs: EqAffine) -> Eq

Performs the - operation. Read more

impl<'b> SubAssign<&'b EqAffine> for Eq

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

Performs the -= operation. Read more

impl SubAssign<EqAffine> for Eq

fn sub_assign(&mut self, rhs: EqAffine)

Performs the -= operation. Read more

impl Copy for EqAffine

impl Eq for EqAffine

Auto Trait Implementations

impl RefUnwindSafe for EqAffine

impl Send for EqAffine

impl Sync for EqAffine

impl Unpin for EqAffine

impl UnwindSafe for EqAffine

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::EqAffine

Trait Implementations

impl<'a, 'b> Add<&'a Eq> for &'b EqAffine

type Output = Eq

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

impl<'a, 'b> Add<&'a EqAffine> for &'b Eq

type Output = Eq

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

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

type Output = Eq

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

impl<'b> Add<&'b Eq> for EqAffine

type Output = Eq

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

impl<'b> Add<&'b EqAffine> for Eq

type Output = Eq

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

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

type Output = Eq

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

impl<'a> Add<Eq> for &'a EqAffine

type Output = Eq

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

impl Add<Eq> for EqAffine

type Output = Eq

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

impl<'a> Add<EqAffine> for &'a Eq

type Output = Eq

fn add(self, rhs: EqAffine) -> Eq

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

type Output = Eq

fn add(self, rhs: EqAffine) -> Eq

impl Add<EqAffine> for Eq

type Output = Eq

fn add(self, rhs: EqAffine) -> Eq

impl Add<EqAffine> for EqAffine

type Output = Eq

fn add(self, rhs: EqAffine) -> Eq

impl<'b> AddAssign<&'b EqAffine> for Eq

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

impl AddAssign<EqAffine> for Eq

fn add_assign(&mut self, rhs: EqAffine)

impl Clone for EqAffine

fn clone(&self) -> EqAffine

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

impl CofactorCurveAffine for EqAffine

type Curve = Eq

type Scalar = Fp

fn identity() -> EqAffine

fn generator() -> EqAffine

fn is_identity(&self) -> Choice

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

impl ConditionallySelectable for EqAffine

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

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

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

impl ConstantTimeEq for EqAffine

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

impl CurveAffine for EqAffine

type ScalarExt = Fp

type Base = Fq

type CurveExt = Eq

fn is_on_curve(&self) -> Choice

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

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

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

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

impl Debug for EqAffine

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

impl Default for EqAffine

fn default() -> EqAffine

impl<'a> From<&'a Eq> for EqAffine

fn from(p: &'a Eq) -> EqAffine

impl<'a> From<&'a EqAffine> for Eq

fn from(p: &'a EqAffine) -> Eq

impl From<Eq> for EqAffine

fn from(p: Eq) -> EqAffine

impl From<EqAffine> for Eq

fn from(p: EqAffine) -> Eq

impl GroupEncoding for EqAffine

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

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