Struct halo2curves::bn256::Fq12

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pub struct Fq12 {
    pub c0: Fq6,
    pub c1: Fq6,
}

Fields

c0: Fq6c1: Fq6

Implementations

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pub fn cyclotomic_square(&mut self)

Trait Implementations

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impl<'a, 'b> Add<&'b Fq12> for &'a Fq12

type Output = Fq12

The resulting type after applying the + operator.

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fn add(self, rhs: &'b Fq12) -> Fq12

Performs the + operation. Read more

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impl<'b> Add<&'b Fq12> for Fq12

type Output = Fq12

The resulting type after applying the + operator.

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fn add(self, rhs: &'b Fq12) -> Fq12

Performs the + operation. Read more

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impl<'a> Add<Fq12> for &'a Fq12

type Output = Fq12

The resulting type after applying the + operator.

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fn add(self, rhs: Fq12) -> Fq12

Performs the + operation. Read more

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impl Add<Fq12> for Fq12

type Output = Fq12

The resulting type after applying the + operator.

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fn add(self, rhs: Fq12) -> Fq12

Performs the + operation. Read more

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impl<'b> AddAssign<&'b Fq12> for Fq12

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fn add_assign(&mut self, rhs: &'b Fq12)

Performs the += operation. Read more

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impl AddAssign<Fq12> for Fq12

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fn add_assign(&mut self, rhs: Fq12)

Performs the += operation. Read more

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impl Clone for Fq12

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fn clone(&self) -> Fq12

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 ConditionallySelectable for Fq12

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fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self

Select a or b according to choice. Read more

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fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice. Read more

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fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves. Read more

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impl ConstantTimeEq for Fq12

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fn ct_eq(&self, other: &Self) -> Choice

Determine if two items are equal. Read more

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impl Debug for Fq12

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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 Default for Fq12

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fn default() -> Fq12

Returns the “default value” for a type. Read more

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impl<'de> Deserialize<'de> for Fq12

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fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>where
__D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more

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impl Field for Fq12

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fn random(rng: impl RngCore) -> Self

Returns an element chosen uniformly at random using a user-provided RNG.

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fn zero() -> Self

Returns the zero element of the field, the additive identity.

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fn one() -> Self

Returns the one element of the field, the multiplicative identity.

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fn is_zero(&self) -> Choice

Returns true iff this element is zero.

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fn square(&self) -> Self

Squares this element.

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fn double(&self) -> Self

Doubles this element.

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fn sqrt(&self) -> CtOption<Self>

Returns the square root of the field element, if it is quadratic residue. Read more

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fn invert(&self) -> CtOption<Self>

Computes the multiplicative inverse of this element, failing if the element is zero. Read more

fn is_zero_vartime(&self) -> bool

Returns true iff this element is zero. Read more

fn cube(&self) -> Self

Cubes this element.

fn pow_vartime<S>(&self, exp: S) -> Selfwhere
S: AsRef<[u64]>,

Exponentiates self by exp, where exp is a little-endian order integer exponent. Read more

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impl Hash for Fq12

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fn hash<H: Hasher>(&self, state: &mut H)

Feeds this value into the given Hasher. Read more

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fn hash_slice<H>(data: &[Self], state: &mut H)where
H: Hasher,
Self: Sized,

Feeds a slice of this type into the given Hasher. Read more

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impl<'a, 'b> Mul<&'b Fq12> for &'a Fq12

type Output = Fq12

The resulting type after applying the * operator.

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fn mul(self, rhs: &'b Fq12) -> Fq12

Performs the * operation. Read more

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impl<'b> Mul<&'b Fq12> for Fq12

type Output = Fq12

The resulting type after applying the * operator.

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fn mul(self, rhs: &'b Fq12) -> Fq12

Performs the * operation. Read more

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impl<'a> Mul<Fq12> for &'a Fq12

type Output = Fq12

The resulting type after applying the * operator.

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fn mul(self, rhs: Fq12) -> Fq12

Performs the * operation. Read more

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impl Mul<Fq12> for Fq12

type Output = Fq12

The resulting type after applying the * operator.

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fn mul(self, rhs: Fq12) -> Fq12

Performs the * operation. Read more

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impl<'b> MulAssign<&'b Fq12> for Fq12

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fn mul_assign(&mut self, rhs: &'b Fq12)

Performs the *= operation. Read more

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impl MulAssign<Fq12> for Fq12

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fn mul_assign(&mut self, rhs: Fq12)

Performs the *= operation. Read more

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impl<'a> Neg for &'a Fq12

type Output = Fq12

The resulting type after applying the - operator.

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fn neg(self) -> Fq12

Performs the unary - operation. Read more

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impl Neg for Fq12

type Output = Fq12

The resulting type after applying the - operator.

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fn neg(self) -> Fq12

Performs the unary - operation. Read more

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impl PartialEq<Fq12> for Fq12

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fn eq(&self, other: &Fq12) -> bool

This method tests for self and other values to be equal, and is used by ==. Read more

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

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

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impl Serialize for Fq12

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

Serialize this value into the given Serde serializer. Read more

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impl<'a, 'b> Sub<&'b Fq12> for &'a Fq12

type Output = Fq12

The resulting type after applying the - operator.

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fn sub(self, rhs: &'b Fq12) -> Fq12

Performs the - operation. Read more

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impl<'b> Sub<&'b Fq12> for Fq12

type Output = Fq12

The resulting type after applying the - operator.

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fn sub(self, rhs: &'b Fq12) -> Fq12

Performs the - operation. Read more

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impl<'a> Sub<Fq12> for &'a Fq12

type Output = Fq12

The resulting type after applying the - operator.

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fn sub(self, rhs: Fq12) -> Fq12

Performs the - operation. Read more

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impl Sub<Fq12> for Fq12

type Output = Fq12

The resulting type after applying the - operator.

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fn sub(self, rhs: Fq12) -> Fq12

Performs the - operation. Read more

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impl<'b> SubAssign<&'b Fq12> for Fq12

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fn sub_assign(&mut self, rhs: &'b Fq12)

Performs the -= operation. Read more

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impl SubAssign<Fq12> for Fq12

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fn sub_assign(&mut self, rhs: Fq12)

Performs the -= operation. Read more

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impl Copy for Fq12

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impl Eq for Fq12

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impl StructuralEq for Fq12

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impl StructuralPartialEq for Fq12

Auto Trait Implementations

impl RefUnwindSafe for Fq12

impl Send for Fq12

impl Sync for Fq12

impl Unpin for Fq12

impl UnwindSafe for Fq12

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,

const: unstable · source

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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impl<T> BorrowMut<T> for Twhere
T: ?Sized,

const: unstable · source

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

Mutably borrows from an owned value. Read more

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impl<T> ConditionallyNegatable for Twhere
T: ConditionallySelectable,
&'a T: for<'a> Neg<Output = T>,

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fn conditional_negate(&mut self, choice: Choice)

Negate self if choice == Choice(1); otherwise, leave it unchanged. Read more

impl<T> Conv for T

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

Converts self into T using Into<T>. Read more

impl<T> FmtForward for T

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

Causes self to use its Binary implementation when Debug-formatted.

fn fmt_display(self) -> FmtDisplay<Self>where
Self: Display,

Causes self to use its Display implementation when Debug-formatted. Read more

fn fmt_lower_exp(self) -> FmtLowerExp<Self>where
Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted. Read more

fn fmt_lower_hex(self) -> FmtLowerHex<Self>where
Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted. Read more

fn fmt_octal(self) -> FmtOctal<Self>where
Self: Octal,

Causes self to use its Octal implementation when Debug-formatted.

fn fmt_pointer(self) -> FmtPointer<Self>where
Self: Pointer,

Causes self to use its Pointer implementation when Debug-formatted. Read more

fn fmt_upper_exp(self) -> FmtUpperExp<Self>where
Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted. Read more

fn fmt_upper_hex(self) -> FmtUpperHex<Self>where
Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted. Read more

fn fmt_list(self) -> FmtList<Self>where
&'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more

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impl<T> From<T> for T

const: unstable · source

fn from(t: T) -> T

Returns the argument unchanged.

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

const: unstable · source

fn into(self) -> U

Calls U::from(self).

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

impl<T> Pipe for Twhere
T: ?Sized,

fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> Rwhere
Self: Sized,

Pipes by value. This is generally the method you want to use. Read more

fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a Self) -> R) -> Rwhere
R: 'a,

Borrows self and passes that borrow into the pipe function. Read more

fn pipe_ref_mut<'a, R>(&'a mut self, func: impl FnOnce(&'a mut Self) -> R) -> Rwhere
R: 'a,

Mutably borrows self and passes that borrow into the pipe function. Read more

fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> Rwhere
 Self: Borrow,
 B: 'a + ?Sized,
 R: 'a,

Borrows self, then passes self.borrow() into the pipe function. Read more

fn pipe_borrow_mut<'a, B, R>(
 &'a mut self,
 func: impl FnOnce(&'a mut B) -> R
) -> Rwhere
 Self: BorrowMut,
 B: 'a + ?Sized,
 R: 'a,

Mutably borrows self, then passes self.borrow_mut() into the pipe function. Read more

fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> Rwhere
 Self: AsRef,
 U: 'a + ?Sized,
 R: 'a,

Borrows self, then passes self.as_ref() into the pipe function.

fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> Rwhere
 Self: AsMut,
 U: 'a + ?Sized,
 R: 'a,

Mutably borrows self, then passes self.as_mut() into the pipe function. Read more

fn pipe_deref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> Rwhere
 Self: Deref<Target = T>,
 T: 'a + ?Sized,
 R: 'a,

Borrows self, then passes self.deref() into the pipe function.

fn pipe_deref_mut<'a, T, R>(&'a mut self, func: impl FnOnce(&'a mut T) -> R) -> Rwhere
 Self: DerefMut<Target = T> + Deref,
 T: 'a + ?Sized,
 R: 'a,

Mutably borrows self, then passes self.deref_mut() into the pipe function. Read more

impl<T> Tap for T

fn tap(self, func: impl FnOnce(&Self)) -> Self

Immutable access to a value. Read more

fn tap_mut(self, func: impl FnOnce(&mut Self)) -> Self

Mutable access to a value. Read more

fn tap_borrow(self, func: impl FnOnce(&B)) -> Selfwhere
Self: Borrow,
B: ?Sized,

Immutable access to the Borrow of a value. Read more

fn tap_borrow_mut(self, func: impl FnOnce(&mut B)) -> Selfwhere
Self: BorrowMut,
B: ?Sized,

Mutable access to the BorrowMut of a value. Read more

fn tap_ref<R>(self, func: impl FnOnce(&R)) -> Selfwhere
Self: AsRef<R>,
R: ?Sized,

Immutable access to the AsRef<R> view of a value. Read more

fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Selfwhere
Self: AsMut<R>,
R: ?Sized,

Mutable access to the AsMut<R> view of a value. Read more

fn tap_deref<T>(self, func: impl FnOnce(&T)) -> Selfwhere
Self: Deref<Target = T>,
T: ?Sized,

Immutable access to the Deref::Target of a value. Read more

fn tap_deref_mut<T>(self, func: impl FnOnce(&mut T)) -> Selfwhere
Self: DerefMut<Target = T> + Deref,
T: ?Sized,

Mutable access to the Deref::Target of a value. Read more

fn tap_dbg(self, func: impl FnOnce(&Self)) -> Self

Calls .tap() only in debug builds, and is erased in release builds.

fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self

Calls .tap_mut() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_dbg(self, func: impl FnOnce(&B)) -> Selfwhere
Self: Borrow,
B: ?Sized,

Calls .tap_borrow() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_mut_dbg(self, func: impl FnOnce(&mut B)) -> Selfwhere
Self: BorrowMut,
B: ?Sized,

Calls .tap_borrow_mut() only in debug builds, and is erased in release builds. Read more

fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Selfwhere
Self: AsRef<R>,
R: ?Sized,

Calls .tap_ref() only in debug builds, and is erased in release builds. Read more

fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Selfwhere
Self: AsMut<R>,
R: ?Sized,

Calls .tap_ref_mut() only in debug builds, and is erased in release builds. Read more

fn tap_deref_dbg<T>(self, func: impl FnOnce(&T)) -> Selfwhere
Self: Deref<Target = T>,
T: ?Sized,

Calls .tap_deref() only in debug builds, and is erased in release builds. Read more

fn tap_deref_mut_dbg<T>(self, func: impl FnOnce(&mut T)) -> Selfwhere
Self: DerefMut<Target = T> + Deref,
T: ?Sized,

Calls .tap_deref_mut() only in debug builds, and is erased in release builds. Read more

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impl<T> ToOwned for Twhere
T: Clone,

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

impl<T> TryConv for T

fn try_conv<T>(self) -> Result<T, Self::Error>where
Self: TryInto<T>,

Attempts to convert self into T using TryInto<T>. Read more

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

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

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impl<T, U> TryInto for Twhere
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

impl<V, T> VZip<V> for Twhere
V: MultiLane<T>,

fn vzip(self) -> V

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Struct halo2curves::bn256::Fq12

Fields

Implementations

impl Fq12

pub fn mul_assign(&mut self, other: &Self)

pub fn square_assign(&mut self)

pub fn double(&self) -> Self

pub fn double_assign(&mut self)

pub fn add(&self, other: &Self) -> Self

pub fn sub(&self, other: &Self) -> Self

pub fn mul(&self, other: &Self) -> Self

pub fn square(&self) -> Self

pub fn neg(&self) -> Self

pub fn conjugate(&mut self)

pub fn frobenius_map(&mut self, power: usize)

pub fn mul_by_014(&mut self, c0: &Fq2, c1: &Fq2, c4: &Fq2)

pub fn mul_by_034(&mut self, c0: &Fq2, c3: &Fq2, c4: &Fq2)

pub fn invert(&self) -> CtOption<Self>

pub fn cyclotomic_square(&mut self)

Trait Implementations

impl<'a, 'b> Add<&'b Fq12> for &'a Fq12

type Output = Fq12

fn add(self, rhs: &'b Fq12) -> Fq12

impl<'b> Add<&'b Fq12> for Fq12

type Output = Fq12

fn add(self, rhs: &'b Fq12) -> Fq12

impl<'a> Add<Fq12> for &'a Fq12

type Output = Fq12

fn add(self, rhs: Fq12) -> Fq12

impl Add<Fq12> for Fq12

type Output = Fq12

fn add(self, rhs: Fq12) -> Fq12

impl<'b> AddAssign<&'b Fq12> for Fq12

fn add_assign(&mut self, rhs: &'b Fq12)

impl AddAssign<Fq12> for Fq12

fn add_assign(&mut self, rhs: Fq12)

impl Clone for Fq12

fn clone(&self) -> Fq12

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

impl ConditionallySelectable for Fq12

fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self

fn conditional_assign(&mut self, other: &Self, choice: Choice)

fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

impl ConstantTimeEq for Fq12

fn ct_eq(&self, other: &Self) -> Choice

impl Debug for Fq12

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

impl Default for Fq12

fn default() -> Fq12

impl<'de> Deserialize<'de> for Fq12

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where __D: Deserializer<'de>,

impl Field for Fq12

fn random(rng: impl RngCore) -> Self

fn zero() -> Self

fn one() -> Self

fn is_zero(&self) -> Choice

fn square(&self) -> Self

fn double(&self) -> Self

fn sqrt(&self) -> CtOption<Self>

fn invert(&self) -> CtOption<Self>

fn is_zero_vartime(&self) -> bool

fn cube(&self) -> Self

fn pow_vartime<S>(&self, exp: S) -> Selfwhere S: AsRef<[u64]>,

impl Hash for Fq12

fn hash<__H: Hasher>(&self, state: &mut __H)

fn hash_slice<H>(data: &[Self], state: &mut H)where H: Hasher, Self: Sized,

impl<'a, 'b> Mul<&'b Fq12> for &'a Fq12

type Output = Fq12

fn mul(self, rhs: &'b Fq12) -> Fq12

impl<'b> Mul<&'b Fq12> for Fq12

type Output = Fq12

fn mul(self, rhs: &'b Fq12) -> Fq12

impl<'a> Mul<Fq12> for &'a Fq12

type Output = Fq12

fn mul(self, rhs: Fq12) -> Fq12

impl Mul<Fq12> for Fq12

type Output = Fq12

fn mul(self, rhs: Fq12) -> Fq12

impl<'b> MulAssign<&'b Fq12> for Fq12

fn mul_assign(&mut self, rhs: &'b Fq12)

fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>where
__D: Deserializer<'de>,

fn pow_vartime<S>(&self, exp: S) -> Selfwhere
S: AsRef<[u64]>,

fn hash<H: Hasher>(&self, state: &mut H)

fn hash_slice<H>(data: &[Self], state: &mut H)where
H: Hasher,
Self: Sized,

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

impl<T> Any for Twhere
T: 'static + ?Sized,

impl<T> Borrow<T> for Twhere
T: ?Sized,

impl<T> BorrowMut<T> for Twhere
T: ?Sized,

impl<T> ConditionallyNegatable for Twhere
T: ConditionallySelectable,
&'a T: for<'a> Neg<Output = T>,

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

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

fn fmt_display(self) -> FmtDisplay<Self>where
Self: Display,

fn fmt_lower_exp(self) -> FmtLowerExp<Self>where
Self: LowerExp,

fn fmt_lower_hex(self) -> FmtLowerHex<Self>where
Self: LowerHex,

fn fmt_octal(self) -> FmtOctal<Self>where
Self: Octal,

fn fmt_pointer(self) -> FmtPointer<Self>where
Self: Pointer,

fn fmt_upper_exp(self) -> FmtUpperExp<Self>where
Self: UpperExp,

fn fmt_upper_hex(self) -> FmtUpperHex<Self>where
Self: UpperHex,

fn fmt_list(self) -> FmtList<Self>where
&'a Self: for<'a> IntoIterator,