Struct snarkvm_circuit::Scalar

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

Trait Implementations§

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

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type Output = Scalar<E>

The resulting type after applying the + operator.
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fn add(self, other: &Scalar<E>) -> <&Scalar<E> as Add<&Scalar<E>>>::Output

Performs the + operation. Read more
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impl<E> Add<&Scalar<E>> for Scalar<E>where E: Environment,

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type Output = Scalar<E>

The resulting type after applying the + operator.
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fn add(self, other: &Scalar<E>) -> <Scalar<E> as Add<&Scalar<E>>>::Output

Performs the + operation. Read more
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impl<E> Add<Scalar<E>> for &Scalar<E>where E: Environment,

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type Output = Scalar<E>

The resulting type after applying the + operator.
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fn add(self, other: Scalar<E>) -> <&Scalar<E> as Add<Scalar<E>>>::Output

Performs the + operation. Read more
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impl<E> Add<Scalar<E>> for Scalar<E>where E: Environment,

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type Output = Scalar<E>

The resulting type after applying the + operator.
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fn add(self, other: Scalar<E>) -> <Scalar<E> as Add<Scalar<E>>>::Output

Performs the + operation. Read more
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impl<E> AddAssign<&Scalar<E>> for Scalar<E>where E: Environment,

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

Performs the += operation. Read more
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impl<E> AddAssign<Scalar<E>> for Scalar<E>where E: Environment,

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

Performs the += operation. Read more
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impl<E> Clone for Scalar<E>where E: Clone + Environment,

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

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<E> Compare<Scalar<E>> for Scalar<E>where E: Environment,

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

Returns true if self is less than other.

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

Returns true if self is greater than other.

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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.

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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.

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type Output = Boolean<E>

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

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

Formats the value using the given formatter. Read more
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impl<E> Display for Scalar<E>where E: Environment,

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

Formats the value using the given formatter. Read more
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impl<E> Eject for Scalar<E>where E: Environment,

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fn eject_mode(&self) -> Mode

Ejects the mode of the scalar.

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fn eject_value(&self) -> <Scalar<E> as Eject>::Primitive

Ejects the scalar circuit as a console scalar.

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type Primitive = Scalar<<E as Environment>::Network>

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fn eject(&self) -> (Mode, Self::Primitive)

Ejects the mode and primitive value of the circuit type.
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fn is_constant(&self) -> bool

Returns true if the circuit is a constant.
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fn is_public(&self) -> bool

Returns true if the circuit is a public.
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fn is_private(&self) -> bool

Returns true if the circuit is a private.
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impl<E> Equal<Scalar<E>> for Scalar<E>where E: Environment,

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

Returns true if self and other are equal.

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

Returns true if self and other are not equal.

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type Output = Boolean<E>

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impl<E> From<&Scalar<E>> for LinearCombination<<E as Environment>::BaseField>where E: Environment,

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fn from(scalar: &Scalar<E>) -> LinearCombination<<E as Environment>::BaseField>

Converts to this type from the input type.
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impl<E> From<Scalar<E>> for LinearCombination<<E as Environment>::BaseField>where E: Environment,

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fn from(scalar: Scalar<E>) -> LinearCombination<<E as Environment>::BaseField>

Converts to this type from the input type.
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impl<E> FromBits for Scalar<E>where E: Environment,

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fn from_bits_le(bits_le: &[<Scalar<E> as FromBits>::Boolean]) -> Scalar<E>

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

  • If bits_le is longer than E::ScalarField::size_in_bits(), the excess bits are enforced to be 0s.
  • If bits_le is shorter than E::ScalarField::size_in_bits(), it is padded with 0s up to scalar field size.
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fn from_bits_be(bits_be: &[<Scalar<E> as FromBits>::Boolean]) -> Scalar<E>

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

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type Boolean = Boolean<E>

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

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

Parses a string into a scalar circuit.

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type Err = Error

The associated error which can be returned from parsing.
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impl<E> Inject for Scalar<E>where E: Environment,

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fn new(mode: Mode, scalar: <Scalar<E> as Inject>::Primitive) -> Scalar<E>

Initializes a scalar circuit from a console scalar.

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type Primitive = Scalar<<E as Environment>::Network>

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fn constant(value: Self::Primitive) -> Selfwhere Self: Sized,

Initializes a constant of the given primitive value.
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impl<E> Metrics<dyn Add<Scalar<E>, Output = Scalar<E>> + 'static> for Scalar<E>where E: Environment,

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type Case = (Mode, Mode)

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fn count( case: &<Scalar<E> as Metrics<dyn Add<Scalar<E>, Output = Scalar<E>> + 'static>>::Case ) -> Count

Returns the number of constants, public inputs, private inputs, and constraints.
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impl<E> Mul<&Group<E>> for &Scalar<E>where E: Environment,

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type Output = Group<E>

The resulting type after applying the * operator.
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fn mul(self, other: &Group<E>) -> <&Scalar<E> as Mul<&Group<E>>>::Output

Performs the * operation. Read more
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impl<E> Mul<&Group<E>> for Scalar<E>where E: Environment,

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type Output = Group<E>

The resulting type after applying the * operator.
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fn mul(self, other: &Group<E>) -> <Scalar<E> as Mul<&Group<E>>>::Output

Performs the * operation. Read more
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impl<E> Mul<&Scalar<E>> for &Group<E>where E: Environment,

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type Output = Group<E>

The resulting type after applying the * operator.
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fn mul(self, other: &Scalar<E>) -> <&Group<E> as Mul<&Scalar<E>>>::Output

Performs the * operation. Read more
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impl<E> Mul<&Scalar<E>> for Group<E>where E: Environment,

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type Output = Group<E>

The resulting type after applying the * operator.
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fn mul(self, other: &Scalar<E>) -> <Group<E> as Mul<&Scalar<E>>>::Output

Performs the * operation. Read more
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impl<E> Mul<Group<E>> for &Scalar<E>where E: Environment,

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type Output = Group<E>

The resulting type after applying the * operator.
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fn mul(self, other: Group<E>) -> <&Scalar<E> as Mul<Group<E>>>::Output

Performs the * operation. Read more
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impl<E> Mul<Group<E>> for Scalar<E>where E: Environment,

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type Output = Group<E>

The resulting type after applying the * operator.
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fn mul(self, other: Group<E>) -> <Scalar<E> as Mul<Group<E>>>::Output

Performs the * operation. Read more
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impl<E> Mul<Scalar<E>> for &Group<E>where E: Environment,

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type Output = Group<E>

The resulting type after applying the * operator.
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fn mul(self, other: Scalar<E>) -> <&Group<E> as Mul<Scalar<E>>>::Output

Performs the * operation. Read more
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impl<E> Mul<Scalar<E>> for Group<E>where E: Environment,

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type Output = Group<E>

The resulting type after applying the * operator.
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fn mul(self, other: Scalar<E>) -> <Group<E> as Mul<Scalar<E>>>::Output

Performs the * operation. Read more
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impl<E> MulAssign<&Scalar<E>> for Group<E>where E: Environment,

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

Performs the *= operation. Read more
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impl<E> MulAssign<Scalar<E>> for Group<E>where E: Environment,

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

Performs the *= operation. Read more
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impl<E> One for Scalar<E>where E: Environment,

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type Boolean = Boolean<E>

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fn one() -> Scalar<E>

Returns a new one constant.
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fn is_one(&self) -> <Scalar<E> as One>::Boolean

Returns true if self is one.
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impl<E> OutputMode<dyn Add<Scalar<E>, Output = Scalar<E>> + 'static> for Scalar<E>where E: Environment,

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type Case = (Mode, Mode)

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fn output_mode( case: &<Scalar<E> as OutputMode<dyn Add<Scalar<E>, Output = Scalar<E>> + 'static>>::Case ) -> Mode

Returns the mode of the output.
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impl<E> Parser for Scalar<E>where E: Environment,

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

Parses a string into a scalar circuit.

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

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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.

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type Boolean = Boolean<E>

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type Output = Scalar<E>

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

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fn to_bits_le(&self) -> Vec<<&Scalar<E> as ToBits>::Boolean, Global>

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

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fn to_bits_be(&self) -> Vec<<&Scalar<E> as ToBits>::Boolean, Global>

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

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type Boolean = Boolean<E>

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

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fn to_bits_le(&self) -> Vec<<Scalar<E> as ToBits>::Boolean, Global>

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

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fn to_bits_be(&self) -> Vec<<Scalar<E> as ToBits>::Boolean, Global>

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

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type Boolean = Boolean<E>

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

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

Casts a scalar field element into a base field element.

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type Field = Field<E>

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

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

Casts a string into a list of base fields.

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type Field = Field<E>

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

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fn type_name() -> &'static str

Returns the type name of the circuit as a string.

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

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type Boolean = Boolean<E>

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fn zero() -> Scalar<E>

Returns a new zero constant.
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fn is_zero(&self) -> <Scalar<E> as Zero>::Boolean

Returns true if self is zero.
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impl<E> GroupTrait<Scalar<E>> for Group<E>where E: Environment,

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

Auto Trait Implementations§

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impl<E> RefUnwindSafe for Scalar<E>where <E as Environment>::BaseField: UnwindSafe + RefUnwindSafe,

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impl<E> !Send for Scalar<E>

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impl<E> !Sync for Scalar<E>

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impl<E> Unpin for Scalar<E>where <E as Environment>::BaseField: Unpin,

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impl<E> UnwindSafe for Scalar<E>where <E as Environment>::BaseField: UnwindSafe + RefUnwindSafe,

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,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for Twhere T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for Twhere U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> Pointable for T

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const ALIGN: usize = mem::align_of::<T>()

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T> Same<T> for T

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type Output = T

Should always be Self
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impl<T> ToOwned for Twhere T: Clone,

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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
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impl<T> ToString for Twhere T: Display + ?Sized,

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default fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for Twhere U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for Twhere U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<V, T> VZip<V> for Twhere V: MultiLane<T>,

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fn vzip(self) -> V