Struct snarkvm_curves::templates::short_weierstrass_jacobian::projective::Projective

pub struct Projective<P: Parameters> {
    pub x: P::BaseField,
    pub y: P::BaseField,
    pub z: P::BaseField,
}

Fields

x: P::BaseField

y: P::BaseField

z: P::BaseField

Implementations

impl<P: Parameters> Projective<P>

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

Trait Implementations

impl<P: Parameters> Add<&&Projective<P>> for Projective<P>

type Output = Projective<P>

The resulting type after applying the + operator.

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

Performs the + operation.

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

type Output = Projective<P>

The resulting type after applying the + operator.

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

Performs the + operation.

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

type Output = Projective<P>

The resulting type after applying the + operator.

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

Performs the + operation.

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

type Output = Projective<P>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<P: Parameters> AddAssign<&&Projective<P>> for Projective<P>

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

Performs the += operation.

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

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

Performs the += operation.

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

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

Performs the += operation.

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

fn add_assign(&mut self, other: Self)

Performs the += operation.

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

fn deserialize_with_mode<R: Read>(
    reader: R,
    compress: Compress,
    validate: Validate
) -> Result<Self, SerializationError>

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

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

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

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

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

fn serialize_with_mode<W: Write>(
    &self,
    writer: W,
    compress: Compress
) -> Result<(), SerializationError>

fn serialized_size(&self, compress: Compress) -> usize

fn uncompressed_size(&self) -> usize

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

fn compressed_size(&self) -> usize

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

impl<P: Clone + Parameters> Clone for Projective<P>where
    P::BaseField: Clone,

fn clone(&self) -> Projective<P>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<P: Debug + Parameters> Debug for Projective<P>where
    P::BaseField: Debug,

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

Formats the value using the given formatter.

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

fn default() -> Self

Returns the “default value” for a type.

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

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

Formats the value using the given formatter.

impl<P: Parameters> Distribution<Projective<P>> for Standard

fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Projective<P>

Generate a random value of T, using rng as the source of randomness.

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>where
    R: Rng,
    Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness.

fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>where
    F: Fn(T) -> S,
    Self: Sized,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F

impl<P: Parameters> From<Affine<P>> for Projective<P>

The affine point X, Y is represented in the Jacobian coordinates with Z = 1.

fn from(p: Affine<P>) -> Projective<P>

Converts to this type from the input type.

impl<P: Parameters> From<Projective<P>> for Affine<P>

fn from(p: Projective<P>) -> Affine<P>

Converts to this type from the input type.

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

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

Reads Self from reader as little-endian bytes.

fn from_bytes_le(bytes: &[u8]) -> Result<Self, Error>where
    Self: Sized,

Returns Self from a byte array in little-endian order.

impl<P: Parameters> Hash for Projective<P>

fn hash<H: Hasher>(&self, state: &mut H)

Feeds this value into the given Hasher.

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

Feeds a slice of this type into the given Hasher.

impl<P: Parameters> Mul<<P as ModelParameters>::ScalarField> for Projective<P>

fn mul(self, other: P::ScalarField) -> Self

Performs scalar multiplication of this element.

type Output = Projective<P>

The resulting type after applying the * operator.

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

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

Performs scalar multiplication of this element.

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

type Output = Projective<P>

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl<P: Parameters> PartialEq<Affine<P>> for Projective<P>

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

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

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.

impl<P: Parameters> PartialEq<Projective<P>> for Affine<P>

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

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

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.

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

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

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

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.

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

fn batch_normalization(v: &mut [Self])

TODO (howardwu): This method can likely be sped up.

type Affine = Affine<P>

type BaseField = <P as ModelParameters>::BaseField

type ScalarField = <P as ModelParameters>::ScalarField

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 add_assign_mixed(&mut self, other: &Self::Affine)

Adds an affine element to this element.

fn double(&self) -> Self

Returns self + self.

fn double_in_place(&mut self)

Sets self := self + self.

fn to_affine(&self) -> Affine<P>

Converts this element into its affine representation.

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

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

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

Adds an affine element to this element.

fn sub_assign_mixed(&mut self, other: &Self::Affine)

Adds an affine element to this element.

impl<P: Parameters> Sub<&&Projective<P>> for Projective<P>

type Output = Projective<P>

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Projective<P>

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Projective<P>

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Projective<P>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<P: Parameters> SubAssign<&&Projective<P>> for Projective<P>

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

Performs the -= operation.

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

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

Performs the -= operation.

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

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

Performs the -= operation.

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

fn sub_assign(&mut self, other: Self)

Performs the -= operation.

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

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

Writes self into writer as little-endian bytes.

fn to_bytes_le(&self) -> Result<Vec<u8, Global>, Error>where
    Self: Sized,

Returns self as a byte array in little-endian order.

impl<M: ShortWeierstrassParameters, F: Field> ToConstraintField<F> for SWProjective<M>where
    M::BaseField: ToConstraintField<F>,

fn to_field_elements(&self) -> Result<Vec<F>, ConstraintFieldError>

impl<P: Parameters> Valid for Projective<P>

fn check(&self) -> Result<(), SerializationError>

fn batch_check<'a>(
    batch: impl Iterator<Item = &'a Self> + Send
) -> Result<(), SerializationError>where
    Self: 'a,

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

fn zero() -> Self

fn is_zero(&self) -> bool

impl<P: Copy + Parameters> Copy for Projective<P>where
    P::BaseField: Copy,

impl<P: Parameters> Eq for Projective<P>