Struct snarkvm_circuit::integers::Integer

pub struct Integer<E, I>where
    E: Environment,
    I: IntegerType,{ /* private fields */ }

Implementations

impl<E, I> Integer<E, I>where
    E: Environment,
    I: IntegerType,

pub fn size_in_bits() -> u16

pub fn cast_as_dual(self) -> Integer<E, <I as IntegerProperties>::Dual>

Trait Implementations

impl<E, I> AbsChecked for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn abs_checked(self) -> <&Integer<E, I> as AbsChecked>::Output

impl<E, I> AbsChecked for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn abs_checked(self) -> <Integer<E, I> as AbsChecked>::Output

impl<E, I> AbsWrapped for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn abs_wrapped(self) -> <&Integer<E, I> as AbsWrapped>::Output

impl<E, I> AbsWrapped for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn abs_wrapped(self) -> <Integer<E, I> as AbsWrapped>::Output

impl<E, I> Add<&Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<E, I> Add<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<E, I> Add<Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<E, I> Add<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<E, I> AddAssign<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Performs the += operation.

impl<E, I> AddAssign<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Performs the += operation.

impl<E, I> AddChecked<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn add_checked(
    &self,
    other: &Integer<E, I>
) -> <Integer<E, I> as AddChecked<Integer<E, I>>>::Output

impl<E, I> AddWrapped<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn add_wrapped(
    &self,
    other: &Integer<E, I>
) -> <Integer<E, I> as AddWrapped<Integer<E, I>>>::Output

impl<E, I> BitAnd<&Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitand(
    self,
    other: &Integer<E, I>
) -> <&Integer<E, I> as BitAnd<&Integer<E, I>>>::Output

Returns (self AND other).

type Output = Integer<E, I>

The resulting type after applying the & operator.

impl<E, I> BitAnd<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitand(
    self,
    other: &Integer<E, I>
) -> <Integer<E, I> as BitAnd<&Integer<E, I>>>::Output

Returns (self AND other).

type Output = Integer<E, I>

The resulting type after applying the & operator.

impl<E, I> BitAnd<Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitand(
    self,
    other: Integer<E, I>
) -> <&Integer<E, I> as BitAnd<Integer<E, I>>>::Output

Returns (self AND other).

type Output = Integer<E, I>

The resulting type after applying the & operator.

impl<E, I> BitAnd<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitand(
    self,
    other: Integer<E, I>
) -> <Integer<E, I> as BitAnd<Integer<E, I>>>::Output

Returns (self AND other).

type Output = Integer<E, I>

The resulting type after applying the & operator.

impl<E, I> BitAndAssign<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitand_assign(&mut self, other: &Integer<E, I>)

Sets self as (self AND other).

impl<E, I> BitAndAssign<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitand_assign(&mut self, other: Integer<E, I>)

Sets self as (self AND other).

impl<E, I> BitOr<&Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitor(
    self,
    other: &Integer<E, I>
) -> <&Integer<E, I> as BitOr<&Integer<E, I>>>::Output

Returns (self OR other).

type Output = Integer<E, I>

The resulting type after applying the | operator.

impl<E, I> BitOr<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitor(
    self,
    other: &Integer<E, I>
) -> <Integer<E, I> as BitOr<&Integer<E, I>>>::Output

Returns (self OR other).

type Output = Integer<E, I>

The resulting type after applying the | operator.

impl<E, I> BitOr<Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitor(
    self,
    other: Integer<E, I>
) -> <&Integer<E, I> as BitOr<Integer<E, I>>>::Output

Returns (self OR other).

type Output = Integer<E, I>

The resulting type after applying the | operator.

impl<E, I> BitOr<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitor(
    self,
    other: Integer<E, I>
) -> <Integer<E, I> as BitOr<Integer<E, I>>>::Output

Returns (self OR other).

type Output = Integer<E, I>

The resulting type after applying the | operator.

impl<E, I> BitOrAssign<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitor_assign(&mut self, other: &Integer<E, I>)

Sets self as (self OR other).

impl<E, I> BitOrAssign<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitor_assign(&mut self, other: Integer<E, I>)

Sets self as (self OR other).

impl<E, I> BitXor<&Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitxor(
    self,
    other: &Integer<E, I>
) -> <&Integer<E, I> as BitXor<&Integer<E, I>>>::Output

Returns (self != other).

type Output = Integer<E, I>

The resulting type after applying the ^ operator.

impl<E, I> BitXor<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitxor(
    self,
    other: &Integer<E, I>
) -> <Integer<E, I> as BitXor<&Integer<E, I>>>::Output

Returns (self != other).

type Output = Integer<E, I>

The resulting type after applying the ^ operator.

impl<E, I> BitXor<Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitxor(
    self,
    other: Integer<E, I>
) -> <&Integer<E, I> as BitXor<Integer<E, I>>>::Output

Returns (self != other).

type Output = Integer<E, I>

The resulting type after applying the ^ operator.

impl<E, I> BitXor<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitxor(
    self,
    other: Integer<E, I>
) -> <Integer<E, I> as BitXor<Integer<E, I>>>::Output

Returns (self != other).

type Output = Integer<E, I>

The resulting type after applying the ^ operator.

impl<E, I> BitXorAssign<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitxor_assign(&mut self, other: &Integer<E, I>)

Sets self as (self != other).

impl<E, I> BitXorAssign<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn bitxor_assign(&mut self, other: Integer<E, I>)

Sets self as (self != other).

impl<E, I> Clone for Integer<E, I>where
    E: Clone + Environment,
    I: Clone + IntegerType,

fn clone(&self) -> Integer<E, I>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<E, I> Compare<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Returns true if self is less than other.

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

Returns true if self is greater than other.

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

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

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

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

type Output = Boolean<E>

impl<E, I> Debug for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Formats the value using the given formatter.

impl<E, I> Display for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Formats the value using the given formatter.

impl<E, I> Div<&Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the / operator.

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

Performs the / operation.

impl<E, I> Div<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the / operator.

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

Performs the / operation.

impl<E, I> Div<Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the / operator.

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

Performs the / operation.

impl<E, I> Div<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the / operator.

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

Performs the / operation.

impl<E, I> DivAssign<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Performs the /= operation.

impl<E, I> DivAssign<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Performs the /= operation.

impl<E, I> DivChecked<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn div_checked(
    &self,
    other: &Integer<E, I>
) -> <Integer<E, I> as DivChecked<Integer<E, I>>>::Output

impl<E, I> DivWrapped<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn div_wrapped(
    &self,
    other: &Integer<E, I>
) -> <Integer<E, I> as DivWrapped<Integer<E, I>>>::Output

impl<E, I> Eject for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn eject_mode(&self) -> Mode

Ejects the mode of the integer.

fn eject_value(&self) -> <Integer<E, I> as Eject>::Primitive

Ejects the integer circuit as a console integer value.

type Primitive = Integer<<E as Environment>::Network, I>

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

Ejects the mode and primitive value of the circuit type.

fn is_constant(&self) -> bool

Returns true if the circuit is a constant.

fn is_public(&self) -> bool

Returns true if the circuit is a public.

fn is_private(&self) -> bool

Returns true if the circuit is a private.

impl<E, I> Equal<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Returns true if self and other are equal.

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

Returns true if self and other are not equal.

This method constructs a boolean that indicates if self and other are not equal to each other.

type Output = Boolean<E>

impl<E, I> From<&Integer<E, I>> for LinearCombination<<E as Environment>::BaseField>where
    E: Environment,
    I: IntegerType,

fn from(
    integer: &Integer<E, I>
) -> LinearCombination<<E as Environment>::BaseField>

Converts to this type from the input type.

impl<E, I> From<Integer<E, I>> for LinearCombination<<E as Environment>::BaseField>where
    E: Environment,
    I: IntegerType,

fn from(
    integer: Integer<E, I>
) -> LinearCombination<<E as Environment>::BaseField>

Converts to this type from the input type.

impl<E, I> FromBits for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Initializes a new integer from a list of little-endian bits with trailing zeros.

fn from_bits_be(
    bits_be: &[<Integer<E, I> as FromBits>::Boolean]
) -> Integer<E, I>

Initializes a new integer from a list of big-endian bits with leading zeros.

type Boolean = Boolean<E>

impl<E, I> FromField for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn from_field(field: <Integer<E, I> as FromField>::Field) -> Integer<E, I>

Casts an integer from a base field.

type Field = Field<E>

impl<E, I> FromStr for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Parses a string into an integer circuit.

type Err = Error

The associated error which can be returned from parsing.

impl<E, I> Inject for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn new(mode: Mode, value: <Integer<E, I> as Inject>::Primitive) -> Integer<E, I>

Initializes a new integer.

type Primitive = Integer<<E as Environment>::Network, I>

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

Initializes a constant of the given primitive value.

impl<E, I> MSB for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn msb(&self) -> &<Integer<E, I> as MSB>::Boolean

Returns the MSB of the integer.

type Boolean = Boolean<E>

impl<E, I> Metrics<dyn AbsChecked<Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = Mode

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn AbsWrapped<Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = Mode

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn Add<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn AddChecked<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn AddWrapped<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn BitAnd<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn BitOr<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn BitXor<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn Compare<Integer<E, I>, Output = Boolean<E>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

fn count(
    case: &<Integer<E, I> as Metrics<dyn Compare<Integer<E, I>, Output = Boolean<E>> + 'static>>::Case
) -> Count

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn Div<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn DivChecked<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn DivWrapped<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn Equal<Integer<E, I>, Output = Boolean<E>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

fn count(
    case: &<Integer<E, I> as Metrics<dyn Equal<Integer<E, I>, Output = Boolean<E>> + 'static>>::Case
) -> Count

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn Mul<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn MulChecked<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn MulWrapped<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn Neg<Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = Mode

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn Not<Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = Mode

fn count(
    _case: &<Integer<E, I> as Metrics<dyn Not<Output = Integer<E, I>> + 'static>>::Case
) -> Count

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn One<Boolean = Boolean<E>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = ()

fn count(
    _case: &<Integer<E, I> as Metrics<dyn One<Boolean = Boolean<E>> + 'static>>::Case
) -> Count

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I, M> Metrics<dyn PowChecked<Integer<E, M>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Case = (Mode, Mode)

fn count(
    case: &<Integer<E, I> as Metrics<dyn PowChecked<Integer<E, M>, Output = Integer<E, I>> + 'static>>::Case
) -> Count

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I, M> Metrics<dyn PowWrapped<Integer<E, M>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Case = (Mode, Mode)

fn count(
    case: &<Integer<E, I> as Metrics<dyn PowWrapped<Integer<E, M>, Output = Integer<E, I>> + 'static>>::Case
) -> Count

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn Rem<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn RemChecked<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn RemWrapped<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn Shl<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I, M> Metrics<dyn ShlChecked<Integer<E, M>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Case = (Mode, Mode)

fn count(
    case: &<Integer<E, I> as Metrics<dyn ShlChecked<Integer<E, M>, Output = Integer<E, I>> + 'static>>::Case
) -> Count

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I, M> Metrics<dyn ShlWrapped<Integer<E, M>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Case = (Mode, Mode)

fn count(
    case: &<Integer<E, I> as Metrics<dyn ShlWrapped<Integer<E, M>, Output = Integer<E, I>> + 'static>>::Case
) -> Count

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn Shr<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I, M> Metrics<dyn ShrChecked<Integer<E, M>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Case = (Mode, Mode)

fn count(
    case: &<Integer<E, I> as Metrics<dyn ShrChecked<Integer<E, M>, Output = Integer<E, I>> + 'static>>::Case
) -> Count

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I, M> Metrics<dyn ShrWrapped<Integer<E, M>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Case = (Mode, Mode)

fn count(
    case: &<Integer<E, I> as Metrics<dyn ShrWrapped<Integer<E, M>, Output = Integer<E, I>> + 'static>>::Case
) -> Count

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn Sub<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn SubChecked<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn SubWrapped<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn Ternary<Boolean = Boolean<E>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode, Mode)

fn count(
    case: &<Integer<E, I> as Metrics<dyn Ternary<Boolean = Boolean<E>, Output = Integer<E, I>> + 'static>>::Case
) -> Count

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Metrics<dyn Zero<Boolean = Boolean<E>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = ()

fn count(
    _case: &<Integer<E, I> as Metrics<dyn Zero<Boolean = Boolean<E>> + 'static>>::Case
) -> Count

Returns the number of constants, public inputs, private inputs, and constraints.

impl<E, I> Modulo<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn modulo(
    &self,
    other: &Integer<E, I>
) -> <Integer<E, I> as Modulo<Integer<E, I>>>::Output

impl<E, I> Mul<&Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<E, I> Mul<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<E, I> Mul<Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<E, I> Mul<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<E, I> MulAssign<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Performs the *= operation.

impl<E, I> MulAssign<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Performs the *= operation.

impl<E, I> MulChecked<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn mul_checked(
    &self,
    other: &Integer<E, I>
) -> <Integer<E, I> as MulChecked<Integer<E, I>>>::Output

impl<E, I> MulWrapped<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn mul_wrapped(
    &self,
    other: &Integer<E, I>
) -> <Integer<E, I> as MulWrapped<Integer<E, I>>>::Output

impl<E, I> Neg for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn neg(self) -> <&Integer<E, I> as Neg>::Output

Performs the unary - operation.

type Output = Integer<E, I>

The resulting type after applying the - operator.

impl<E, I> Neg for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn neg(self) -> <Integer<E, I> as Neg>::Output

Performs the unary - operation.

type Output = Integer<E, I>

The resulting type after applying the - operator.

impl<E, I> Not for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the ! operator.

fn not(self) -> <&Integer<E, I> as Not>::Output

Performs the unary ! operation.

impl<E, I> Not for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the ! operator.

fn not(self) -> <Integer<E, I> as Not>::Output

Performs the unary ! operation.

impl<E, I> One for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Boolean = Boolean<E>

fn one() -> Integer<E, I>

Returns a new one constant.

fn is_one(&self) -> <Integer<E, I> as One>::Boolean

Returns true if self is one.

impl<E, I> OutputMode<dyn AbsChecked<Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = Mode

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn AbsWrapped<Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = Mode

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn Add<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn AddChecked<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn AddWrapped<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn BitAnd<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (CircuitType<Integer<E, I>>, CircuitType<Integer<E, I>>)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn BitOr<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (CircuitType<Integer<E, I>>, CircuitType<Integer<E, I>>)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn BitXor<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (CircuitType<Integer<E, I>>, CircuitType<Integer<E, I>>)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn Compare<Integer<E, I>, Output = Boolean<E>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

fn output_mode(
    case: &<Integer<E, I> as OutputMode<dyn Compare<Integer<E, I>, Output = Boolean<E>> + 'static>>::Case
) -> Mode

Returns the mode of the output.

impl<E, I> OutputMode<dyn Div<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn DivChecked<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn DivWrapped<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn Equal<Integer<E, I>, Output = Boolean<E>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

fn output_mode(
    case: &<Integer<E, I> as OutputMode<dyn Equal<Integer<E, I>, Output = Boolean<E>> + 'static>>::Case
) -> Mode

Returns the mode of the output.

impl<E, I> OutputMode<dyn Mul<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn MulChecked<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn MulWrapped<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn Neg<Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = Mode

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn Not<Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = Mode

fn output_mode(
    case: &<Integer<E, I> as OutputMode<dyn Not<Output = Integer<E, I>> + 'static>>::Case
) -> Mode

Returns the mode of the output.

impl<E, I> OutputMode<dyn One<Boolean = Boolean<E>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = ()

fn output_mode(
    _case: &<Integer<E, I> as OutputMode<dyn One<Boolean = Boolean<E>> + 'static>>::Case
) -> Mode

Returns the mode of the output.

impl<E, I, M> OutputMode<dyn PowChecked<Integer<E, M>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Case = (Mode, CircuitType<Integer<E, M>>)

fn output_mode(
    case: &<Integer<E, I> as OutputMode<dyn PowChecked<Integer<E, M>, Output = Integer<E, I>> + 'static>>::Case
) -> Mode

Returns the mode of the output.

impl<E, I, M> OutputMode<dyn PowWrapped<Integer<E, M>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Case = (Mode, CircuitType<Integer<E, M>>)

fn output_mode(
    case: &<Integer<E, I> as OutputMode<dyn PowWrapped<Integer<E, M>, Output = Integer<E, I>> + 'static>>::Case
) -> Mode

Returns the mode of the output.

impl<E, I> OutputMode<dyn Rem<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn RemChecked<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn RemWrapped<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn Shl<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I, M> OutputMode<dyn ShlChecked<Integer<E, M>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Case = (Mode, Mode)

fn output_mode(
    case: &<Integer<E, I> as OutputMode<dyn ShlChecked<Integer<E, M>, Output = Integer<E, I>> + 'static>>::Case
) -> Mode

Returns the mode of the output.

impl<E, I, M> OutputMode<dyn ShlWrapped<Integer<E, M>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Case = (Mode, Mode)

fn output_mode(
    case: &<Integer<E, I> as OutputMode<dyn ShlWrapped<Integer<E, M>, Output = Integer<E, I>> + 'static>>::Case
) -> Mode

Returns the mode of the output.

impl<E, I> OutputMode<dyn Shr<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I, M> OutputMode<dyn ShrChecked<Integer<E, M>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Case = (Mode, Mode)

fn output_mode(
    case: &<Integer<E, I> as OutputMode<dyn ShrChecked<Integer<E, M>, Output = Integer<E, I>> + 'static>>::Case
) -> Mode

Returns the mode of the output.

impl<E, I, M> OutputMode<dyn ShrWrapped<Integer<E, M>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Case = (Mode, Mode)

fn output_mode(
    case: &<Integer<E, I> as OutputMode<dyn ShrWrapped<Integer<E, M>, Output = Integer<E, I>> + 'static>>::Case
) -> Mode

Returns the mode of the output.

impl<E, I> OutputMode<dyn Sub<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn SubChecked<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn SubWrapped<Integer<E, I>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (Mode, Mode)

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

Returns the mode of the output.

impl<E, I> OutputMode<dyn Ternary<Boolean = Boolean<E>, Output = Integer<E, I>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = (CircuitType<Boolean<E>>, Mode, Mode)

fn output_mode(
    case: &<Integer<E, I> as OutputMode<dyn Ternary<Boolean = Boolean<E>, Output = Integer<E, I>> + 'static>>::Case
) -> Mode

Returns the mode of the output.

impl<E, I> OutputMode<dyn Zero<Boolean = Boolean<E>> + 'static> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Case = ()

fn output_mode(
    _case: &<Integer<E, I> as OutputMode<dyn Zero<Boolean = Boolean<E>> + 'static>>::Case
) -> Mode

Returns the mode of the output.

impl<E, I> Parser for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Parses a string into an integer circuit.

impl<E, I, M> Pow<&Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

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

Returns the power of self to the power of other.

type Output = Integer<E, I>

The result after applying the operator.

impl<E, I, M> Pow<Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

fn pow(
    self,
    other: Integer<E, M>
) -> <Integer<E, I> as Pow<Integer<E, M>>>::Output

Returns the power of self to the power of other.

type Output = Integer<E, I>

The result after applying the operator.

impl<E, I, M> PowChecked<Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

fn pow_checked(
    &self,
    other: &Integer<E, M>
) -> <Integer<E, I> as PowChecked<Integer<E, M>>>::Output

Returns the power of self to the power of other.

type Output = Integer<E, I>

impl<E, I, M> PowWrapped<Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Output = Integer<E, I>

fn pow_wrapped(
    &self,
    other: &Integer<E, M>
) -> <Integer<E, I> as PowWrapped<Integer<E, M>>>::Output

impl<E, I> Rem<&Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the % operator.

fn rem(
    self,
    other: &Integer<E, I>
) -> <&Integer<E, I> as Rem<&Integer<E, I>>>::Output

Performs the % operation.

impl<E, I> Rem<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the % operator.

fn rem(
    self,
    other: &Integer<E, I>
) -> <Integer<E, I> as Rem<&Integer<E, I>>>::Output

Performs the % operation.

impl<E, I> Rem<Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the % operator.

fn rem(
    self,
    other: Integer<E, I>
) -> <&Integer<E, I> as Rem<Integer<E, I>>>::Output

Performs the % operation.

impl<E, I> Rem<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the % operator.

fn rem(
    self,
    other: Integer<E, I>
) -> <Integer<E, I> as Rem<Integer<E, I>>>::Output

Performs the % operation.

impl<E, I> RemAssign<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn rem_assign(&mut self, other: &Integer<E, I>)

Performs the %= operation.

impl<E, I> RemAssign<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn rem_assign(&mut self, other: Integer<E, I>)

Performs the %= operation.

impl<E, I> RemChecked<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn rem_checked(
    &self,
    other: &Integer<E, I>
) -> <Integer<E, I> as RemChecked<Integer<E, I>>>::Output

impl<E, I> RemWrapped<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn rem_wrapped(
    &self,
    other: &Integer<E, I>
) -> <Integer<E, I> as RemWrapped<Integer<E, I>>>::Output

impl<E, I, M> Shl<&Integer<E, M>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Output = Integer<E, I>

The resulting type after applying the << operator.

fn shl(
    self,
    rhs: &Integer<E, M>
) -> <&Integer<E, I> as Shl<&Integer<E, M>>>::Output

Performs the << operation.

impl<E, I, M> Shl<&Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Output = Integer<E, I>

The resulting type after applying the << operator.

fn shl(
    self,
    rhs: &Integer<E, M>
) -> <Integer<E, I> as Shl<&Integer<E, M>>>::Output

Performs the << operation.

impl<E, I, M> Shl<Integer<E, M>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Output = Integer<E, I>

The resulting type after applying the << operator.

fn shl(
    self,
    rhs: Integer<E, M>
) -> <&Integer<E, I> as Shl<Integer<E, M>>>::Output

Performs the << operation.

impl<E, I, M> Shl<Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Output = Integer<E, I>

The resulting type after applying the << operator.

fn shl(self, rhs: Integer<E, M>) -> <Integer<E, I> as Shl<Integer<E, M>>>::Output

Performs the << operation.

impl<E, I, M> ShlAssign<&Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

fn shl_assign(&mut self, rhs: &Integer<E, M>)

Performs the <<= operation.

impl<E, I, M> ShlAssign<Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

fn shl_assign(&mut self, rhs: Integer<E, M>)

Performs the <<= operation.

impl<E, I, M> ShlChecked<Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Output = Integer<E, I>

fn shl_checked(
    &self,
    rhs: &Integer<E, M>
) -> <Integer<E, I> as ShlChecked<Integer<E, M>>>::Output

impl<E, I, M> ShlWrapped<Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Output = Integer<E, I>

fn shl_wrapped(
    &self,
    rhs: &Integer<E, M>
) -> <Integer<E, I> as ShlWrapped<Integer<E, M>>>::Output

impl<E, I, M> Shr<&Integer<E, M>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Output = Integer<E, I>

The resulting type after applying the >> operator.

fn shr(
    self,
    rhs: &Integer<E, M>
) -> <&Integer<E, I> as Shr<&Integer<E, M>>>::Output

Performs the >> operation.

impl<E, I, M> Shr<&Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Output = Integer<E, I>

The resulting type after applying the >> operator.

fn shr(
    self,
    rhs: &Integer<E, M>
) -> <Integer<E, I> as Shr<&Integer<E, M>>>::Output

Performs the >> operation.

impl<E, I, M> Shr<Integer<E, M>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Output = Integer<E, I>

The resulting type after applying the >> operator.

fn shr(
    self,
    rhs: Integer<E, M>
) -> <&Integer<E, I> as Shr<Integer<E, M>>>::Output

Performs the >> operation.

impl<E, I, M> Shr<Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Output = Integer<E, I>

The resulting type after applying the >> operator.

fn shr(self, rhs: Integer<E, M>) -> <Integer<E, I> as Shr<Integer<E, M>>>::Output

Performs the >> operation.

impl<E, I, M> ShrAssign<&Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

fn shr_assign(&mut self, rhs: &Integer<E, M>)

Performs the >>= operation.

impl<E, I, M> ShrAssign<Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

fn shr_assign(&mut self, rhs: Integer<E, M>)

Performs the >>= operation.

impl<E, I, M> ShrChecked<Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Output = Integer<E, I>

fn shr_checked(
    &self,
    rhs: &Integer<E, M>
) -> <Integer<E, I> as ShrChecked<Integer<E, M>>>::Output

impl<E, I, M> ShrWrapped<Integer<E, M>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,
    M: Magnitude,

type Output = Integer<E, I>

fn shr_wrapped(
    &self,
    rhs: &Integer<E, M>
) -> <Integer<E, I> as ShrWrapped<Integer<E, M>>>::Output

impl<E, I> Sub<&Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<E, I> Sub<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<E, I> Sub<Integer<E, I>> for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<E, I> Sub<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<E, I> SubAssign<&Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Performs the -= operation.

impl<E, I> SubAssign<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Performs the -= operation.

impl<E, I> SubChecked<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn sub_checked(
    &self,
    other: &Integer<E, I>
) -> <Integer<E, I> as SubChecked<Integer<E, I>>>::Output

impl<E, I> SubWrapped<Integer<E, I>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Output = Integer<E, I>

fn sub_wrapped(
    &self,
    other: &Integer<E, I>
) -> <Integer<E, I> as SubWrapped<Integer<E, I>>>::Output

impl<E, I> Ternary for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Returns first if condition is true, otherwise returns second.

type Boolean = Boolean<E>

type Output = Integer<E, I>

impl<E, I> ToBits for &Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Outputs the little-endian bit representation of self with trailing zeros.

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

Outputs the big-endian bit representation of self with leading zeros.

type Boolean = Boolean<E>

impl<E, I> ToBits for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Outputs the little-endian bit representation of self with trailing zeros.

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

Outputs the big-endian bit representation of self with leading zeros.

type Boolean = Boolean<E>

impl<E, I> ToField for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn to_field(&self) -> <Integer<E, I> as ToField>::Field

Casts an integer into a base field.

type Field = Field<E>

impl<E, I> ToFields for Integer<E, I>where
    E: Environment,
    I: IntegerType,

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

Casts an integer into a list of base fields.

type Field = Field<E>

impl<E, I> TypeName for Integer<E, I>where
    E: Environment,
    I: IntegerType,

fn type_name() -> &'static str

Returns the type name of the circuit as a string.

impl<E, I> Zero for Integer<E, I>where
    E: Environment,
    I: IntegerType,

type Boolean = Boolean<E>

fn zero() -> Integer<E, I>

Returns a new zero constant.

fn is_zero(&self) -> <Integer<E, I> as Zero>::Boolean

Returns true if self is zero.

impl<E, I> IntegerCore<I> for Integer<E, I>where
    E: Environment,
    I: IntegerType,

impl<E, I> IntegerTrait<I, Integer<E, u8>, Integer<E, u16>, Integer<E, u32>> for Integer<E, I>where
    E: Environment,
    I: IntegerType,