halo2_axiom::plonk

Enum Assigned

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pub enum Assigned<F> {
    Zero,
    Trivial(F),
    Rational(F, F),
}
Expand description

A value assigned to a cell within a circuit.

Stored as a fraction, so the backend can use batch inversion.

A denominator of zero maps to an assigned value of zero.

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Zero

The field element zero.

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Trivial(F)

A value that does not require inversion to evaluate.

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Rational(F, F)

A value stored as a fraction to enable batch inversion.

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impl<F: Field> Assigned<F>

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pub fn numerator(&self) -> F

Returns the numerator.

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pub fn denominator(&self) -> Option<F>

Returns the denominator, if non-trivial.

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pub fn is_zero_vartime(&self) -> bool

Returns true iff this element is zero.

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pub fn double(&self) -> Self

Doubles this element.

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pub fn square(&self) -> Self

Squares this element.

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pub fn cube(&self) -> Self

Cubes this element.

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pub fn invert(&self) -> Self

Inverts this assigned value (taking the inverse of zero to be zero).

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pub fn evaluate(self) -> F

Evaluates this assigned value directly, performing an unbatched inversion if necessary.

If the denominator is zero, this returns zero.

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impl<F: Field> Add<&Assigned<F>> for &Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the + operator.
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fn add(self, rhs: &Assigned<F>) -> Assigned<F>

Performs the + operation. Read more
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impl<F: Field> Add<&Assigned<F>> for Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the + operator.
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fn add(self, rhs: &Self) -> Assigned<F>

Performs the + operation. Read more
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impl<F: Field> Add<Assigned<F>> for &Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the + operator.
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fn add(self, rhs: Assigned<F>) -> Assigned<F>

Performs the + operation. Read more
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impl<F: Field> Add<F> for &Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the + operator.
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fn add(self, rhs: F) -> Assigned<F>

Performs the + operation. Read more
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impl<F: Field> Add<F> for Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the + operator.
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fn add(self, rhs: F) -> Assigned<F>

Performs the + operation. Read more
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impl<F: Field> Add for Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the + operator.
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fn add(self, rhs: Assigned<F>) -> Assigned<F>

Performs the + operation. Read more
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impl<F: Field> AddAssign<&Assigned<F>> for Assigned<F>

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

Performs the += operation. Read more
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impl<F: Field> AddAssign for Assigned<F>

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fn add_assign(&mut self, rhs: Self)

Performs the += operation. Read more
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impl<F: Clone> Clone for Assigned<F>

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fn clone(&self) -> Assigned<F>

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<F: Debug> Debug for Assigned<F>

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

Formats the value using the given formatter. Read more
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impl<F: Field> From<&Assigned<F>> for Assigned<F>

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fn from(val: &Assigned<F>) -> Self

Converts to this type from the input type.
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impl<F: Field> From<&F> for Assigned<F>

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fn from(numerator: &F) -> Self

Converts to this type from the input type.
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impl<F: Field> From<(F, F)> for Assigned<F>

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fn from((numerator, denominator): (F, F)) -> Self

Converts to this type from the input type.
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impl<F: Field> From<F> for Assigned<F>

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fn from(numerator: F) -> Self

Converts to this type from the input type.
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impl<F: Field> Mul<&Assigned<F>> for Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the * operator.
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fn mul(self, rhs: &Assigned<F>) -> Assigned<F>

Performs the * operation. Read more
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impl<F: Field> Mul<F> for &Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the * operator.
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fn mul(self, rhs: F) -> Assigned<F>

Performs the * operation. Read more
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impl<F: Field> Mul<F> for Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the * operator.
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fn mul(self, rhs: F) -> Assigned<F>

Performs the * operation. Read more
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impl<F: Field> Mul for Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the * operator.
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fn mul(self, rhs: Assigned<F>) -> Assigned<F>

Performs the * operation. Read more
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impl<F: Field> MulAssign<&Assigned<F>> for Assigned<F>

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fn mul_assign(&mut self, rhs: &Self)

Performs the *= operation. Read more
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impl<F: Field> MulAssign for Assigned<F>

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fn mul_assign(&mut self, rhs: Self)

Performs the *= operation. Read more
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impl<F: Field> Neg for &Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl<F: Field> Neg for Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl<F: Field> PartialEq for Assigned<F>

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

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<F: Field> Sub<&Assigned<F>> for &Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the - operator.
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fn sub(self, rhs: &Assigned<F>) -> Assigned<F>

Performs the - operation. Read more
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impl<F: Field> Sub<&Assigned<F>> for Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the - operator.
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fn sub(self, rhs: &Self) -> Assigned<F>

Performs the - operation. Read more
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impl<F: Field> Sub<Assigned<F>> for &Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the - operator.
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fn sub(self, rhs: Assigned<F>) -> Assigned<F>

Performs the - operation. Read more
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impl<F: Field> Sub<F> for &Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the - operator.
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fn sub(self, rhs: F) -> Assigned<F>

Performs the - operation. Read more
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impl<F: Field> Sub<F> for Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the - operator.
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fn sub(self, rhs: F) -> Assigned<F>

Performs the - operation. Read more
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impl<F: Field> Sub for Assigned<F>

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type Output = Assigned<F>

The resulting type after applying the - operator.
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fn sub(self, rhs: Assigned<F>) -> Assigned<F>

Performs the - operation. Read more
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impl<F: Field> SubAssign<&Assigned<F>> for Assigned<F>

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

Performs the -= operation. Read more
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impl<F: Field> SubAssign for Assigned<F>

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fn sub_assign(&mut self, rhs: Self)

Performs the -= operation. Read more
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impl<F: Copy> Copy for Assigned<F>

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impl<F: Field> Eq for Assigned<F>

Auto Trait Implementations§

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impl<F> Freeze for Assigned<F>
where F: Freeze,

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impl<F> RefUnwindSafe for Assigned<F>
where F: RefUnwindSafe,

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impl<F> Send for Assigned<F>
where F: Send,

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impl<F> Sync for Assigned<F>
where F: Sync,

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impl<F> Unpin for Assigned<F>
where F: Unpin,

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impl<F> UnwindSafe for Assigned<F>
where F: UnwindSafe,

Blanket Implementations§

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impl<T> Any for T
where 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 T
where 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 T
where 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> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. Read more
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impl<T> Conv for T

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fn conv<T>(self) -> T
where Self: Into<T>,

Converts self into T using Into<T>. Read more
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impl<T> FmtForward for T

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fn fmt_binary(self) -> FmtBinary<Self>
where Self: Binary,

Causes self to use its Binary implementation when Debug-formatted.
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where Self: Display,

Causes self to use its Display implementation when Debug-formatted.
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where Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted.
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where Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted.
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fn fmt_octal(self) -> FmtOctal<Self>
where Self: Octal,

Causes self to use its Octal implementation when Debug-formatted.
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fn fmt_pointer(self) -> FmtPointer<Self>
where Self: Pointer,

Causes self to use its Pointer implementation when Debug-formatted.
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fn fmt_upper_exp(self) -> FmtUpperExp<Self>
where Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted.
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where Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted.
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where &'a Self: for<'a> IntoIterator,

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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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fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided Span, returning an Instrumented wrapper. Read more
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where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

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const ALIGN: usize = _

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