Struct halo2curves::pasta::Ep

The large prime-order subgroup in which cryptographic operations are performed. If Self implements PrimeGroup, then Self::Subgroup may be Self. Read more

fn clear_cofactor(&self) -> Ep

Maps self to the prime-order subgroup by multiplying this element by some k-multiple of the cofactor. Read more

fn into_subgroup(self) -> CtOption<<Ep as CofactorGroup>::Subgroup>

Returns self if it is contained in the prime-order subgroup. Read more

fn is_torsion_free(&self) -> Choice

Determines if this element is “torsion free”, i.e., is contained in the prime-order subgroup. Read more

fn is_small_order(&self) -> Choice

Determines if this element is of small order. Read more

impl ConditionallySelectable for Ep

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

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 Ep

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

Determine if two items are equal. Read more

impl Curve for Ep

type AffineRepr = EpAffine

The affine representation for this elliptic curve.

fn batch_normalize(p: &[Ep], q: &mut [<Ep as Curve>::AffineRepr])

Converts a batch of projective elements into affine elements. This function will panic if p.len() != q.len(). Read more

fn to_affine(&self) -> <Ep as Curve>::AffineRepr

Converts this element into its affine representation.

impl CurveExt for Ep

fn endo(&self) -> Ep

Apply the curve endomorphism by multiplying the x-coordinate by an element of multiplicative order 3.

type ScalarExt = Fq

The scalar field of this elliptic curve.

type Base = Fp

The base field over which this elliptic curve is constructed.

type AffineExt = EpAffine

The affine version of the curve

const CURVE_ID: &'static str = "pallas"

CURVE_ID used for hash-to-curve.

fn hash_to_curve(domain_prefix: &'a str) -> Box<dyn Fn(&[u8]) + 'a, Global>

Requests a hasher that accepts messages and returns near-uniformly distributed elements in the group, given domain prefix domain_prefix. Read more

fn a() -> <Ep as CurveExt>::Base

Returns the curve constant a.

fn b() -> <Ep as CurveExt>::Base

Returns the curve constant b.

fn new_jacobian(
 x: <Ep as CurveExt>::Base,
 y: <Ep as CurveExt>::Base,
 z: <Ep as CurveExt>::Base
) -> CtOption<Ep>

Obtains a point given Jacobian coordinates $X : Y : Z$, failing if the coordinates are not on the curve. Read more

fn jacobian_coordinates(&self) -> (Fp, Fp, Fp)

Return the Jacobian coordinates of this point.

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

impl Debug for Ep

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

Formats the value using the given formatter. Read more

impl Default for Ep

fn default() -> Ep

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 Group for Ep

type Scalar = Fq

Scalars modulo the order of this group’s scalar field.

fn random(rng: impl RngCore) -> Ep

Returns an element chosen uniformly at random from the non-identity elements of this group. Read more

fn generator() -> Ep

Returns a fixed generator of the prime-order subgroup.

fn double(&self) -> Ep

Doubles this element.

fn identity() -> Ep

Returns the additive identity, also known as the “neutral element”.

fn is_identity(&self) -> Choice

Determines if this point is the identity.

impl Group for Ep

type Scalar = Fq

The group is assumed to be of prime order $p$. Scalar is the associated scalar field of size $p$. Read more

fn group_zero() -> Ep

Returns the additive identity of the group.

fn group_add(&mut self, rhs: &Ep)

Adds rhs to this group element.

fn group_sub(&mut self, rhs: &Ep)

Subtracts rhs from this group element.

fn group_scale(&mut self, by: &<Ep as Group>::Scalar)

Scales this group element by a scalar.

impl GroupEncoding for Ep

type Repr = [u8; 32]

The encoding of group elements. Read more

fn from_bytes(bytes: &<Ep as GroupEncoding>::Repr) -> CtOption<Ep>

Attempts to deserialize a group element from its encoding.

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

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

fn to_bytes(&self) -> <Ep as GroupEncoding>::Repr

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 Ep

type Output = Ep

The resulting type after applying the * operator.

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

Performs the * operation. Read more

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

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 Ep

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 Ep

type Output = Ep

The resulting type after applying the * operator.

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

Performs the * operation. Read more

impl<'b> MulAssign<&'b Fq> for Ep

fn mul_assign(&mut self, rhs: &'b Fq)

Performs the *= operation. Read more

impl MulAssign<Fq> for Ep

fn mul_assign(&mut self, rhs: Fq)

Performs the *= operation. Read more

impl<'a> Neg for &'a Ep

type Output = Ep

The resulting type after applying the - operator.

fn neg(self) -> Ep

Performs the unary - operation. Read more

impl Neg for Ep

type Output = Ep

The resulting type after applying the - operator.

fn neg(self) -> Ep

Performs the unary - operation. Read more

impl PartialEq<Ep> for Ep

fn eq(&self, other: &Ep) -> 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 PrimeCurve for Ep

type Affine = EpAffine

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

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

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

type Output = Ep

The resulting type after applying the - operator.

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

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

fn sub_assign(&mut self, rhs: &'b 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<Ep> for Ep

fn sub_assign(&mut self, rhs: Ep)

Performs the -= operation. Read more

impl SubAssign<EpAffine> for Ep

fn sub_assign(&mut self, rhs: EpAffine)

Performs the -= operation. Read more

impl<T> Sum<T> for Epwhere
T: Borrow<Ep>,

fn sum(iter: I) -> Epwhere
I: Iterator<Item = T>,

Method which takes an iterator and generates Self from the elements by “summing up” the items. Read more

impl WnafGroup for Ep

fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize

Recommends a wNAF window size given the number of scalars you intend to multiply a base by. Always returns a number between 2 and 22, inclusive. Read more

impl Copy for Ep

impl Eq for Ep

impl PrimeGroup for Ep

Auto Trait Implementations

impl RefUnwindSafe for Ep

impl Send for Ep

impl Sync for Ep

impl Unpin for Ep

impl UnwindSafe for Ep

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.