Struct ark_ec::models::twisted_edwards_extended::GroupProjective

#[must_use]
pub struct GroupProjective<P: Parameters> {
    pub x: P::BaseField,
    pub y: P::BaseField,
    pub t: P::BaseField,
    pub z: P::BaseField,
    // some fields omitted
}

GroupProjective implements Extended Twisted Edwards Coordinates as described in [HKCD08].

This implementation uses the unified addition formulae from that paper (see Section 3.1).

Fields

x: P::BaseField

y: P::BaseField

t: P::BaseField

z: P::BaseField

Implementations

impl<P: Parameters> GroupProjective<P>

pub fn new(
    x: P::BaseField,
    y: P::BaseField,
    t: P::BaseField,
    z: P::BaseField
) -> Self

Trait Implementations

impl<'a, P: Parameters> Add<&'a GroupProjective<P>> for GroupProjective<P>

type Output = Self

The resulting type after applying the + operator.

fn add(self, other: &'a Self) -> Self

Performs the + operation.

impl<'a, P: Parameters> Add<&'a mut GroupProjective<P>> for GroupProjective<P>

type Output = Self

The resulting type after applying the + operator.

fn add(self, other: &'a mut Self) -> Self

Performs the + operation.

impl<P: Parameters> Add<GroupProjective<P>> for GroupProjective<P>

type Output = Self

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a, P: Parameters> AddAssign<&'a GroupProjective<P>> for GroupProjective<P>

fn add_assign(&mut self, other: &'a Self)

Performs the += operation.

impl<'a, P: Parameters> AddAssign<&'a mut GroupProjective<P>> for GroupProjective<P>

fn add_assign(&mut self, other: &'a mut Self)

Performs the += operation.

impl<P: Parameters> AddAssign<GroupProjective<P>> for GroupProjective<P>

fn add_assign(&mut self, other: Self)

Performs the += operation.

impl<P: Parameters> CanonicalDeserialize for GroupProjective<P>

fn deserialize<R: Read>(reader: R) -> Result<Self, SerializationError>

Reads Self from reader.

fn deserialize_uncompressed<R: Read>(
    reader: R
) -> Result<Self, SerializationError>

Reads Self from reader without compression.

fn deserialize_unchecked<R: Read>(reader: R) -> Result<Self, SerializationError>

Reads self from reader without compression, and without performing validity checks. Should be used only when the input is trusted.

impl<P: Parameters> CanonicalSerialize for GroupProjective<P>

fn serialize<W: Write>(&self, writer: W) -> Result<(), SerializationError>

Serializes self into writer. It is left up to a particular type for how it strikes the serialization efficiency vs compression tradeoff. For standard types (e.g. bool, lengths, etc.) typically an uncompressed form is used, whereas for algebraic types compressed forms are used.

fn serialized_size(&self) -> usize

fn serialize_uncompressed<W: Write>(
    &self,
    writer: W
) -> Result<(), SerializationError>

Serializes self into writer without compression.

fn uncompressed_size(&self) -> usize

fn serialize_unchecked<W>(&self, writer: W) -> Result<(), SerializationError> where
    W: Write, 

Serializes self into writer without compression, and without performing validity checks. Should be used only when there is no danger of adversarial manipulation of the output.

impl<P: Parameters> Clone for GroupProjective<P> where
    P: Parameters, 

fn clone(&self) -> Self

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<P: Parameters> Debug for GroupProjective<P> where
    P: Parameters, 

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

Formats the value using the given formatter.

impl<P: Parameters> Default for GroupProjective<P>

fn default() -> Self

Returns the “default value” for a type.

impl<P: Parameters> Display for GroupProjective<P>

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

Formats the value using the given formatter.

impl<P: Parameters> From<GroupAffine<P>> for GroupProjective<P>

fn from(p: GroupAffine<P>) -> GroupProjective<P>

Performs the conversion.

impl<P: Parameters> From<GroupProjective<P>> for GroupAffine<P>

fn from(p: GroupProjective<P>) -> GroupAffine<P>

Performs the conversion.

impl<P: Parameters> FromBytes for GroupProjective<P>

fn read<R: Read>(reader: R) -> IoResult<Self>

Reads Self from reader.

impl<P: Parameters> Hash for GroupProjective<P> where
    P: Parameters, 

fn hash<__HP>(&self, __state: &mut __HP) where
    __HP: Hasher, 

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H) where
    H: Hasher, 

Feeds a slice of this type into the given Hasher.

impl<P: Parameters> MulAssign<<P as ModelParameters>::ScalarField> for GroupProjective<P>

fn mul_assign(&mut self, other: P::ScalarField)

Performs the *= operation.

impl<P: Parameters> Neg for GroupProjective<P>

type Output = Self

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl<P: Parameters> PartialEq<GroupAffine<P>> for GroupProjective<P>

fn eq(&self, other: &GroupAffine<P>) -> bool

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

#[must_use]

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

This method tests for !=.

impl<P: Parameters> PartialEq<GroupProjective<P>> for GroupAffine<P>

fn eq(&self, other: &GroupProjective<P>) -> bool

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

#[must_use]

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

This method tests for !=.

impl<P: Parameters> PartialEq<GroupProjective<P>> for GroupProjective<P>

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

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

#[must_use]

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

This method tests for !=.

impl<P: Parameters> ProjectiveCurve for GroupProjective<P>

const COFACTOR: &'static [u64]

type BaseField = P::BaseField

type ScalarField = P::ScalarField

type Affine = GroupAffine<P>

fn prime_subgroup_generator() -> Self

Returns a fixed generator of unknown exponent.

fn is_normalized(&self) -> bool

Checks if the point is already “normalized” so that cheap affine conversion is possible.

fn batch_normalization(v: &mut [Self])

Normalizes a slice of projective elements so that conversion to affine is cheap.

fn double_in_place(&mut self) -> &mut Self

Doubles this element in place.

fn add_assign_mixed(&mut self, other: &GroupAffine<P>)

Set self to be self + other, where other: Self::Affine. This is usually faster than adding other in projective form.

fn batch_normalization_into_affine(v: &[Self]) -> Vec<Self::Affine>

Normalizes a slice of projective elements and outputs a vector containing the affine equivalents.

#[must_use]

fn double(&self) -> Self

Doubles this element.

fn into_affine(&self) -> Self::Affine

Converts self into the affine representation.

fn add_mixed(self, other: &Self::Affine) -> Self

Set self to be self + other, where other: Self::Affine. This is usually faster than adding other in projective form.

fn mul<S: AsRef<[u64]>>(self, other: S) -> Self

Performs scalar multiplication of this element.

impl<'a, P: Parameters> Sub<&'a GroupProjective<P>> for GroupProjective<P>

type Output = Self

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a, P: Parameters> Sub<&'a mut GroupProjective<P>> for GroupProjective<P>

type Output = Self

The resulting type after applying the - operator.

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

Performs the - operation.

impl<P: Parameters> Sub<GroupProjective<P>> for GroupProjective<P>

type Output = Self

The resulting type after applying the - operator.

fn sub(self, other: Self) -> Self

Performs the - operation.

impl<'a, P: Parameters> SubAssign<&'a GroupProjective<P>> for GroupProjective<P>

fn sub_assign(&mut self, other: &'a Self)

Performs the -= operation.

impl<'a, P: Parameters> SubAssign<&'a mut GroupProjective<P>> for GroupProjective<P>

fn sub_assign(&mut self, other: &'a mut Self)

Performs the -= operation.

impl<P: Parameters> SubAssign<GroupProjective<P>> for GroupProjective<P>

fn sub_assign(&mut self, other: Self)

Performs the -= operation.

impl<'a, P: Parameters> Sum<&'a GroupProjective<P>> for GroupProjective<P>

fn sum<I: Iterator<Item = &'a Self>>(iter: I) -> Self

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

impl<P: Parameters> Sum<GroupProjective<P>> for GroupProjective<P>

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.

impl<P: Parameters> ToBytes for GroupProjective<P>

fn write<W: Write>(&self, writer: W) -> IoResult<()>

Serializes self into writer.

impl<M: Parameters, ConstraintF: Field> ToConstraintField<ConstraintF> for GroupProjective<M> where
    M::BaseField: ToConstraintField<ConstraintF>, 

fn to_field_elements(&self) -> Option<Vec<ConstraintF>>

impl<P: Parameters> Zero for GroupProjective<P>

fn zero() -> Self

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.

impl<P: Parameters> Zeroize for GroupProjective<P>

fn zeroize(&mut self)

Zero out this object from memory using Rust intrinsics which ensure the zeroization operation is not “optimized away” by the compiler.

impl<P: Parameters> Copy for GroupProjective<P> where
    P: Parameters, 

impl<P: Parameters> Eq for GroupProjective<P> where
    P: Parameters,