[−][src]Trait elliptic_curve::Field
This trait represents an element of a field.
Required methods
fn random(rng: impl RngCore) -> Self
Returns an element chosen uniformly at random using a user-provided RNG.
fn zero() -> Self
Returns the zero element of the field, the additive identity.
fn one() -> Self
Returns the one element of the field, the multiplicative identity.
fn is_zero(&self) -> bool
Returns true iff this element is zero.
#[must_use]fn square(&self) -> Self
Squares this element.
#[must_use]fn double(&self) -> Self
Doubles this element.
fn invert(&self) -> CtOption<Self>
Computes the multiplicative inverse of this element, failing if the element is zero.
fn sqrt(&self) -> CtOption<Self>
Returns the square root of the field element, if it is quadratic residue.
Provided methods
#[must_use]fn cube(&self) -> Self
Cubes this element.
fn pow_vartime<S>(&self, exp: S) -> Self where
S: AsRef<[u64]>,
S: AsRef<[u64]>,
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.