Struct snarkvm_console_collections::group::Scalar

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

Implementations

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

pub const SIZE_IN_BITS: usize = <E::Scalar>::SIZE_IN_BITS

The scalar size in bits.

pub const SIZE_IN_BYTES: usize = (<E::Scalar>::SIZE_IN_BITS + 7) / 8

The scalar size in bytes.

pub const SIZE_IN_DATA_BITS: usize = <E::Scalar>::SIZE_IN_DATA_BITS

The scalar capacity for data bits.

pub const fn new(scalar: <E as Environment>::Scalar) -> Scalar<E>

Initializes a new scalar.

Trait Implementations

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

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

Returns the sum of self and other.

type Output = Scalar<E>

The resulting type after applying the + operator.

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

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

Returns the sum of self and other.

type Output = Scalar<E>

The resulting type after applying the + operator.

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

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

Adds other to self.

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

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

Adds other to self.

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

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

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<E> Compare<Scalar<E>> for Scalar<E>where
    E: Environment,

fn is_less_than(
    &self,
    other: &Scalar<E>
) -> <Scalar<E> as Compare<Scalar<E>>>::Output

Returns true if self is less than other.

fn is_greater_than(
    &self,
    other: &Scalar<E>
) -> <Scalar<E> as Compare<Scalar<E>>>::Output

Returns true if self is greater than other.

fn is_less_than_or_equal(
    &self,
    other: &Scalar<E>
) -> <Scalar<E> as Compare<Scalar<E>>>::Output

Returns true if self is less than or equal to other.

fn is_greater_than_or_equal(
    &self,
    other: &Scalar<E>
) -> <Scalar<E> as Compare<Scalar<E>>>::Output

Returns true if self is greater than or equal to other.

type Output = Boolean<E>

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

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

Formats the value using the given formatter.

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

type Target = <E as Environment>::Scalar

The resulting type after dereferencing.

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

Dereferences the value.

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

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

Deserializes the scalar from a string or bytes.

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

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

Formats the value using the given formatter.

impl<E> Distribution<Scalar<E>> for Standardwhere
    E: Environment,

fn sample<R>(&self, rng: &mut R) -> Scalar<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,
    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<E> Div<&Scalar<E>> for Scalar<E>where
    E: Environment,

fn div(self, other: &Scalar<E>) -> <Scalar<E> as Div<&Scalar<E>>>::Output

Returns the quotient of self and other.

type Output = Scalar<E>

The resulting type after applying the / operator.

impl<E> Div<Scalar<E>> for Scalar<E>where
    E: Environment,

fn div(self, other: Scalar<E>) -> <Scalar<E> as Div<Scalar<E>>>::Output

Returns the quotient of self and other.

type Output = Scalar<E>

The resulting type after applying the / operator.

impl<E> DivAssign<&Scalar<E>> for Scalar<E>where
    E: Environment,

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

Divides self by other.

impl<E> DivAssign<Scalar<E>> for Scalar<E>where
    E: Environment,

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

Divides self by other.

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

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

Returns the double of self.

type Output = Scalar<E>

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

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

Returns true if self and other are equal.

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

Returns true if self and other are not equal.

type Output = Boolean<E>

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

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

Initializes a new scalar from a list of little-endian bits.

• If bits_le is longer than E::Scalar::size_in_bits(), the excess bits are enforced to be 0s.
• If bits_le is shorter than E::Scalar::size_in_bits(), it is padded with 0s up to scalar size.

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

Initializes a new scalar from a list of big-endian bits without leading zeros.

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

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

Reads the scalar from a buffer.

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

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

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

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

Parses a string into a scalar.

type Err = Error

The associated error which can be returned from parsing.

impl<E> Hash for Scalar<E>where
    E: Hash + Environment,
    <E as Environment>::Scalar: 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,
    Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<E> Inverse for Scalar<E>where
    E: Environment,

fn inverse(&self) -> Result<<Scalar<E> as Inverse>::Output, Error>

Returns the inverse of self.

type Output = Scalar<E>

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<&Scalar<E>> for Scalar<E>where
    E: Environment,

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

Returns the product of self and other.

type Output = Scalar<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> Mul<Scalar<E>> for Scalar<E>where
    E: Environment,

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

Returns the product of self and other.

type Output = Scalar<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 Scalar<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> MulAssign<Scalar<E>> for Scalar<E>where
    E: Environment,

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

Multiplies self by other.

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

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

Returns the negation of self.

type Output = Scalar<E>

The resulting type after applying the - operator.

impl<E> One for Scalar<E>where
    E: Environment,

fn one() -> Scalar<E>

Returns the 1 element of the scalar.

fn is_one(&self) -> bool

Returns true if the element is one.

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

impl<E> Ord for Scalar<E>where
    E: Environment,

fn cmp(&self, other: &Scalar<E>) -> Ordering

Returns the lexicographic ordering of self and other.

fn max(self, other: Self) -> Selfwhere
    Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Selfwhere
    Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Selfwhere
    Self: Sized + PartialOrd<Self>,

Restrict a value to a certain interval.

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

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

Parses a string into a scalar circuit.

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

fn eq(&self, other: &Scalar<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> PartialOrd<Scalar<E>> for Scalar<E>where
    E: Environment,

fn partial_cmp(&self, other: &Scalar<E>) -> Option<Ordering>

Returns the lexicographic ordering of self and other.

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

This method tests less than (for self and other) and is used by the < operator.

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

This method tests less than or equal to (for self and other) and is used by the <= operator.

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

This method tests greater than (for self and other) and is used by the > operator.

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

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<E> Pow<&Scalar<E>> for Scalar<E>where
    E: Environment,

fn pow(self, other: &Scalar<E>) -> <Scalar<E> as Pow<&Scalar<E>>>::Output

Returns the power of self to the power of other.

type Output = Scalar<E>

The result after applying the operator.

impl<E> Pow<Scalar<E>> for Scalar<E>where
    E: Environment,

fn pow(self, other: Scalar<E>) -> <Scalar<E> as Pow<Scalar<E>>>::Output

Returns the power of self to the power of other.

type Output = Scalar<E>

The result after applying the operator.

impl<'a, E> Product<&'a Scalar<E>> for Scalar<E>where
    E: Environment,

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

Returns the product of self and other.

impl<E> Product<Scalar<E>> for Scalar<E>where
    E: Environment,

fn product<I>(iter: I) -> Scalar<E>where
    I: Iterator<Item = Scalar<E>>,

Returns the product of self and other.

impl<E> Serialize for Scalar<E>where
    E: Environment,

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

Serializes the scalar into a string or as bytes.

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

fn size_in_bits() -> usize

Returns the scalar size in bits.

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

fn size_in_bytes() -> usize

Returns the scalar size in bytes.

impl<E> SizeInDataBits for Scalar<E>where
    E: Environment,

fn size_in_data_bits() -> usize

Returns the scalar capacity for data bits.

impl<E> Square for Scalar<E>where
    E: Environment,

fn square(&self) -> <Scalar<E> as Square>::Output

Returns the square of self.

type Output = Scalar<E>

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

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

Returns the difference of self and other.

type Output = Scalar<E>

The resulting type after applying the - operator.

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

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

Returns the difference of self and other.

type Output = Scalar<E>

The resulting type after applying the - operator.

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

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

Subtracts other from self.

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

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

Subtracts other from self.

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

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

Returns the sum of self and other.

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

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

Returns the sum of self and other.

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

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

Returns first if condition is true, otherwise returns second.

type Boolean = Boolean<E>

type Output = Scalar<E>

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

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

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

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

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

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

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

Writes the scalar to a buffer.

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

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

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

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

Returns the scalar as a field element.

type Field = Field<E>

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

fn type_name() -> &'static str

Returns the type name as a string.

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

fn zero() -> Scalar<E>

Returns the 0 element of the scalar.

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 Scalar<E>where
    E: Copy + Environment,
    <E as Environment>::Scalar: Copy,

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

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

impl<E> ScalarTrait for Scalar<E>where
    E: Environment,

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

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