Trait elliptic_curve::Field [−][src]
pub trait Field: 'static + Eq + Copy + Clone + Default + Send + Sync + Debug + ConditionallySelectable + Add<Self, Output = Self, Output = Self> + Sub<Self, Output = Self, Output = Self> + Mul<Self, Output = Self, Output = Self> + Neg<Output = Self> + for<'a> Add<&'a Self> + for<'a> Mul<&'a Self> + for<'a> Sub<&'a Self> + MulAssign<Self> + AddAssign<Self> + SubAssign<Self> + for<'a> MulAssign<&'a Self> + for<'a> AddAssign<&'a Self> + for<'a> SubAssign<&'a Self> { fn random(rng: impl RngCore) -> Self; fn zero() -> Self; fn one() -> Self; fn is_zero(&self) -> bool; #[must_use] fn square(&self) -> Self; #[must_use] fn double(&self) -> Self; fn invert(&self) -> CtOption<Self>; fn sqrt(&self) -> CtOption<Self>; #[must_use] fn cube(&self) -> Self { ... } fn pow_vartime<S>(&self, exp: S) -> Self
where
S: AsRef<[u64]>, { ... } }
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This trait represents an element of a field.
Required methods
fn random(rng: impl RngCore) -> Self
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Returns an element chosen uniformly at random using a user-provided RNG.
fn zero() -> Self
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Returns the zero element of the field, the additive identity.
fn one() -> Self
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Returns the one element of the field, the multiplicative identity.
fn is_zero(&self) -> bool
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Returns true iff this element is zero.
#[must_use]fn square(&self) -> Self
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#[must_use]
fn square(&self) -> SelfExpand description
Squares this element.
#[must_use]fn double(&self) -> Self
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#[must_use]
fn double(&self) -> SelfExpand description
Doubles this element.
fn invert(&self) -> CtOption<Self>
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Computes the multiplicative inverse of this element, failing if the element is zero.
fn sqrt(&self) -> CtOption<Self>
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Returns the square root of the field element, if it is quadratic residue.
Provided methods
#[must_use]fn cube(&self) -> Self
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#[must_use]
fn cube(&self) -> SelfExpand description
Cubes this element.
fn pow_vartime<S>(&self, exp: S) -> Self where
S: AsRef<[u64]>,
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S: AsRef<[u64]>,
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Exponentiates self
by exp
, where exp
is a little-endian order
integer exponent.
This operation is variable time with respect to the exponent. If the exponent is fixed, this operation is effectively constant time.