Struct snarkvm_console_algorithms::Group

pub struct Group<E> where
    E: Environment, { /* private fields */ }

Implementations

impl<E> Group<E> where
    E: Environment, 

pub fn from_x_coordinate(x_coordinate: Field<E>) -> Result<Group<E>, Error>

Attempts to recover an affine group element from a given x-coordinate field element. For safety, the resulting point is always enforced to be on the curve and in the correct subgroup.

impl<E> Group<E> where
    E: Environment, 

pub fn from_xy_coordinates((Field<E>, Field<E>)) -> Group<E>

Initializes a new group from the (x, y) affine coordinates.

impl<E> Group<E> where
    E: Environment, 

pub fn to_x_coordinate(&self) -> Field<E>

Returns the x-coordinate in the affine coordinates of the group.

impl<E> Group<E> where
    E: Environment, 

pub fn to_xy_coordinate(&self) -> (Field<E>, Field<E>)

Returns the x-coordinate and y-coordinate in the affine coordinates of the group.

impl<E> Group<E> where
    E: Environment, 

pub fn to_y_coordinate(&self) -> Field<E>

Returns the y-coordinate in the affine coordinates of the group.

impl<E> Group<E> where
    E: Environment, 

pub const EDWARDS_A: Field<E> = Field<E>::new(E::EDWARDS_A)

The coefficient A for the twisted Edwards curve equation.

pub const EDWARDS_D: Field<E> = Field<E>::new(E::EDWARDS_D)

The coefficient D for the twisted Edwards curve equation.

pub const MONTGOMERY_A: Field<E> = Field<E>::new(E::MONTGOMERY_A)

The coefficient A for the Montgomery curve equation.

pub const MONTGOMERY_B: Field<E> = Field<E>::new(E::MONTGOMERY_B)

The coefficient B for the Montgomery curve equation.

pub fn new(group: <E as Environment>::Affine) -> Group<E>

Initializes a new group.

pub fn generator() -> Group<E>

Returns the prime subgroup generator.

pub fn mul_by_cofactor(&self) -> Group<E>

Returns self * COFACTOR.

pub fn div_by_cofactor(&self) -> Group<E>

Returns self / COFACTOR.

Trait Implementations

impl<E> Add<&Group<E>> for Group<E> where
    E: Environment, 

fn add(self, other: &Group<E>) -> <Group<E> as Add<&Group<E>>>::Output

Returns the sum of self and other.

type Output = Group<E>

The resulting type after applying the + operator.

impl<E> Add<Group<E>> for Group<E> where
    E: Environment, 

fn add(self, other: Group<E>) -> <Group<E> as Add<Group<E>>>::Output

Returns the sum of self and other.

type Output = Group<E>

The resulting type after applying the + operator.

impl<E> AddAssign<&Group<E>> for Group<E> where
    E: Environment, 

fn add_assign(&mut self, other: &Group<E>)

Adds other to self.

impl<E> AddAssign<Group<E>> for Group<E> where
    E: Environment, 

fn add_assign(&mut self, other: Group<E>)

Adds other to self.

impl<E> Clone for Group<E> where
    E: Clone + Environment,
    <E as Environment>::Projective: Clone, 

fn clone(&self) -> Group<E>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<E> Debug for Group<E> where
    E: Environment, 

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

Formats the value using the given formatter.

impl<E> Deref for Group<E> where
    E: Environment, 

type Target = <E as Environment>::Projective

The resulting type after dereferencing.

fn deref(&self) -> &<Group<E> as Deref>::Target

Dereferences the value.

impl<'de, E> Deserialize<'de> for Group<E> where
    E: Environment, 

fn deserialize<D>(
    deserializer: D
) -> Result<Group<E>, <D as Deserializer<'de>>::Error> where
    D: Deserializer<'de>, 

Deserializes the group from a string or bytes.

impl<E> Display for Group<E> where
    E: Environment, 

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

Formats the value using the given formatter.

impl<E> Distribution<Group<E>> for Standard where
    E: Environment, 

fn sample<R>(&self, rng: &mut R) -> Group<E> where
    R: Rng + ?Sized, 

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, 

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, 

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

impl<E> Double for Group<E> where
    E: Environment, 

fn double(&self) -> <Group<E> as Double>::Output

Returns the double of self.

type Output = Group<E>

impl<E> Equal<Group<E>> for Group<E> where
    E: Environment, 

fn is_equal(&self, other: &Group<E>) -> <Group<E> as Equal<Group<E>>>::Output

Returns true if self and other are equal.

fn is_not_equal(&self, other: &Group<E>) -> <Group<E> as Equal<Group<E>>>::Output

Returns true if self and other are not equal.

type Output = Boolean<E>

impl<E> FromBits for Group<E> where
    E: Environment, 

fn from_bits_le(bits_le: &[bool]) -> Result<Group<E>, Error>

Initializes a new group by recovering the x-coordinate of an affine group from a list of little-endian bits.

fn from_bits_be(bits_be: &[bool]) -> Result<Group<E>, Error>

Initializes a new group by recovering the x-coordinate of an affine group from a list of big-endian bits.

impl<E> FromBytes for Group<E> where
    E: Environment, 

fn read_le<R>(reader: R) -> Result<Group<E>, Error> where
    R: Read, 

Reads the group from a buffer.

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

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

impl<E> FromField for Group<E> where
    E: Environment, 

fn from_field(field: &<Group<E> as FromField>::Field) -> Result<Group<E>, Error>

Initializes a new group by recovering the x-coordinate of an affine group from a field element.

type Field = Field<E>

impl<E> FromFields for Group<E> where
    E: Environment, 

fn from_fields(
    fields: &[<Group<E> as FromFields>::Field]
) -> Result<Group<E>, Error>

Initializes a new group by recovering the x-coordinate of an affine group from a field element.

type Field = Field<E>

impl<E> FromStr for Group<E> where
    E: Environment, 

fn from_str(string: &str) -> Result<Group<E>, Error>

Parses a string into a group.

type Err = Error

The associated error which can be returned from parsing.

impl<E> Hash for Group<E> where
    E: Hash + Environment,
    <E as Environment>::Projective: Hash, 

fn hash<__H>(&self, state: &mut __H) where
    __H: 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<E> Mul<&Group<E>> for Scalar<E> where
    E: Environment, 

fn mul(self, other: &Group<E>) -> <Scalar<E> as Mul<&Group<E>>>::Output

Returns the product of self and other.

type Output = Group<E>

The resulting type after applying the * operator.

impl<E> Mul<&Scalar<E>> for Group<E> where
    E: Environment, 

fn mul(self, other: &Scalar<E>) -> <Group<E> as Mul<&Scalar<E>>>::Output

Returns the product of self and other.

type Output = Group<E>

The resulting type after applying the * operator.

impl<E> Mul<Group<E>> for Scalar<E> where
    E: Environment, 

fn mul(self, other: Group<E>) -> <Scalar<E> as Mul<Group<E>>>::Output

Returns the product of self and other.

type Output = Group<E>

The resulting type after applying the * operator.

impl<E> Mul<Scalar<E>> for Group<E> where
    E: Environment, 

fn mul(self, other: Scalar<E>) -> <Group<E> as Mul<Scalar<E>>>::Output

Returns the product of self and other.

type Output = Group<E>

The resulting type after applying the * operator.

impl<E> MulAssign<&Scalar<E>> for Group<E> where
    E: Environment, 

fn mul_assign(&mut self, other: &Scalar<E>)

Multiplies self by other.

impl<E> MulAssign<Scalar<E>> for Group<E> where
    E: Environment, 

fn mul_assign(&mut self, other: Scalar<E>)

Multiplies self by other.

impl<E> Neg for Group<E> where
    E: Environment, 

fn neg(self) -> <Group<E> as Neg>::Output

Returns the negation of self.

type Output = Group<E>

The resulting type after applying the - operator.

impl<E> Parser for Group<E> where
    E: Environment, 

fn parse(string: &str) -> Result<(&str, Group<E>), Err<VerboseError<&str>>>

Parses a string into a group circuit.

impl<E> PartialEq<Group<E>> for Group<E> where
    E: PartialEq<E> + Environment,
    <E as Environment>::Projective: PartialEq<<E as Environment>::Projective>, 

fn eq(&self, other: &Group<E>) -> 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<E> Serialize for Group<E> where
    E: Environment, 

fn serialize<S>(
    &self,
    serializer: S
) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error> where
    S: Serializer, 

Serializes the group into a string or as bytes.

impl<E> SizeInBits for Group<E> where
    E: Environment, 

fn size_in_bits() -> usize

Returns the group size in bits.

impl<E> SizeInBytes for Group<E> where
    E: Environment, 

fn size_in_bytes() -> usize

Returns the group size in bytes.

impl<E> Sub<&Group<E>> for Group<E> where
    E: Environment, 

fn sub(self, other: &Group<E>) -> <Group<E> as Sub<&Group<E>>>::Output

Returns the difference of self and other.

type Output = Group<E>

The resulting type after applying the - operator.

impl<E> Sub<Group<E>> for Group<E> where
    E: Environment, 

fn sub(self, other: Group<E>) -> <Group<E> as Sub<Group<E>>>::Output

Returns the difference of self and other.

type Output = Group<E>

The resulting type after applying the - operator.

impl<E> SubAssign<&Group<E>> for Group<E> where
    E: Environment, 

fn sub_assign(&mut self, other: &Group<E>)

Subtracts other from self.

impl<E> SubAssign<Group<E>> for Group<E> where
    E: Environment, 

fn sub_assign(&mut self, other: Group<E>)

Subtracts other from self.

impl<'a, E> Sum<&'a Group<E>> for Group<E> where
    E: Environment, 

fn sum<I>(iter: I) -> Group<E> where
    I: Iterator<Item = &'a Group<E>>, 

Returns the sum of self and other.

impl<E> Sum<Group<E>> for Group<E> where
    E: Environment, 

fn sum<I>(iter: I) -> Group<E> where
    I: Iterator<Item = Group<E>>, 

Returns the sum of self and other.

impl<E> Ternary for Group<E> where
    E: Environment, 

fn ternary(
    condition: &<Group<E> as Ternary>::Boolean,
    first: &Group<E>,
    second: &Group<E>
) -> <Group<E> as Ternary>::Output

Returns first if condition is true, otherwise returns second.

type Boolean = Boolean<E>

type Output = Group<E>

impl<E> ToBits for Group<E> where
    E: Environment, 

fn to_bits_le(&self) -> Vec<bool, Global>

Outputs the little-endian bit representation of self.to_x_coordinate() without trailing zeros.

fn to_bits_be(&self) -> Vec<bool, Global>

Outputs the big-endian bit representation of self.to_x_coordinate() without leading zeros.

impl<E> ToBytes for Group<E> where
    E: Environment, 

fn write_le<W>(&self, writer: W) -> Result<(), Error> where
    W: Write, 

Writes the group to a buffer.

fn to_bytes_le(&self) -> Result<Vec<u8, Global>, Error>

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

impl<E> ToField for Group<E> where
    E: Environment, 

fn to_field(&self) -> Result<<Group<E> as ToField>::Field, Error>

Returns the group as a field element.

type Field = Field<E>

impl<E> ToFields for Group<E> where
    E: Environment, 

fn to_fields(&self) -> Result<Vec<<Group<E> as ToFields>::Field, Global>, Error>

Returns the group as field elements.

type Field = Field<E>

impl<E> TypeName for Group<E> where
    E: Environment, 

fn type_name() -> &'static str

Returns the type name as a string.

impl<E> Visibility for Group<E> where
    E: Environment, 

fn size_in_fields(&self) -> Result<u16, Error>

Returns the number of field elements to encode self.

type Boolean = Boolean<E>

impl<E> Zero for Group<E> where
    E: Environment, 

fn zero() -> Group<E>

Returns the 0 element of the group.

fn is_zero(&self) -> bool

Returns true if the element is zero.

fn set_zero(&mut self)

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

impl<E> Copy for Group<E> where
    E: Copy + Environment,
    <E as Environment>::Projective: Copy, 

impl<E> Eq for Group<E> where
    E: Eq + Environment,
    <E as Environment>::Projective: Eq, 

impl<E> GroupTrait<Scalar<E>> for Group<E> where
    E: Environment, 

impl<E> StructuralEq for Group<E> where
    E: Environment, 

impl<E> StructuralPartialEq for Group<E> where
    E: Environment,