Struct bls12_381_plus::Scalar [−][src]
pub struct Scalar(_);
Expand description
Represents an element of the scalar field $\mathbb{F}_q$ of the BLS12-381 elliptic curve construction.
Implementations
Attempts to convert a little-endian byte representation of
a scalar into a Scalar
, failing if the input is not canonical.
Converts an element of Scalar
into a byte representation in
little-endian byte order.
Converts a 512-bit little endian integer into
a Scalar
by reducing by the modulus.
Converts from an integer represented in little endian
into its (congruent) Scalar
representation.
Exponentiates self
by by
, where by
is a
little-endian order integer exponent.
Exponentiates self
by by
, where by
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.
Computes the multiplicative inverse of this element, failing if the element is zero.
Trait Implementations
Performs the +=
operation. Read more
Performs the +=
operation. Read more
Deserialize this value from the given Serde deserializer. Read more
Returns an element chosen uniformly at random using a user-provided RNG.
Computes the multiplicative inverse of this element, failing if the element is zero. Read more
Returns the square root of the field element, if it is quadratic residue. Read more
Returns true iff this element is zero. Read more
type Output = G1Projective
type Output = G1Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = G1Projective
type Output = G1Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = G1Projective
type Output = G1Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = G1Projective
type Output = G1Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = G1Projective
type Output = G1Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = G1Projective
type Output = G1Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
Performs the *=
operation. Read more
Performs the *=
operation. Read more
Performs the *=
operation. Read more
Performs the *=
operation. Read more
Performs the *=
operation. Read more
Performs the *=
operation. Read more
Performs the *=
operation. Read more
Performs the *=
operation. Read more
The prime field can be converted back and forth into this binary representation. Read more
Attempts to convert a byte representation of a field element into an element of this prime field, failing if the input is not canonical (is not smaller than the field’s modulus). Read more
Converts an element of the prime field into the standard byte representation for this field. Read more
How many bits of information can be reliably stored in the field element. Read more
Returns a fixed multiplicative generator of modulus - 1
order. This element must
also be a quadratic nonresidue. Read more
Returns the 2^s
root of unity. Read more
Interpret a string of numbers as a (congruent) prime field element. Does not accept unnecessary leading zeroes or a blank string. Read more
Attempts to convert a byte representation of a field element into an element of this prime field, failing if the input is not canonical (is not smaller than the field’s modulus). Read more
Converts an element of the prime field into a little-endian sequence of bits.
Returns the bits of the field characteristic (the modulus) in little-endian order.
Performs the -=
operation. Read more
Performs the -=
operation. Read more
Auto Trait Implementations
impl RefUnwindSafe for Scalar
impl UnwindSafe for Scalar
Blanket Implementations
Mutably borrows from an owned value. Read more
impl<T> ConditionallyNegatable for T where
T: ConditionallySelectable,
&'a T: for<'a> Neg,
<&'a T as Neg>::Output == T,
impl<T> ConditionallyNegatable for T where
T: ConditionallySelectable,
&'a T: for<'a> Neg,
<&'a T as Neg>::Output == T,
Negate self
if choice == Choice(1)
; otherwise, leave it
unchanged. Read more
fn fmt_binary(self) -> FmtBinary<Self> where
Self: Binary,
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,
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,
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,
fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
Self: LowerHex,
Causes self
to use its LowerHex
implementation when
Debug
-formatted. Read more
Causes self
to use its Octal
implementation when Debug
-formatted.
fn fmt_pointer(self) -> FmtPointer<Self> where
Self: Pointer,
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,
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,
fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
Self: UpperHex,
Causes self
to use its UpperHex
implementation when
Debug
-formatted. Read more
impl<T> Pipe for T where
T: ?Sized,
impl<T> Pipe for T where
T: ?Sized,
Pipes by value. This is generally the method you want to use. Read more
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) -> R where
R: 'a,
fn pipe_ref_mut<'a, R>(&'a mut self, func: impl FnOnce(&'a mut Self) -> R) -> R where
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) -> R where
Self: Borrow<B>,
R: 'a,
B: 'a + ?Sized,
fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R where
Self: Borrow<B>,
R: 'a,
B: 'a + ?Sized,
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
) -> R where
Self: BorrowMut<B>,
R: 'a,
B: 'a + ?Sized,
fn pipe_borrow_mut<'a, B, R>(
&'a mut self,
func: impl FnOnce(&'a mut B) -> R
) -> R where
Self: BorrowMut<B>,
R: 'a,
B: 'a + ?Sized,
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) -> R where
Self: AsRef<U>,
R: 'a,
U: 'a + ?Sized,
fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R where
Self: AsRef<U>,
R: 'a,
U: 'a + ?Sized,
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) -> R where
Self: AsMut<U>,
R: 'a,
U: 'a + ?Sized,
fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R where
Self: AsMut<U>,
R: 'a,
U: 'a + ?Sized,
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) -> R where
Self: Deref<Target = T>,
R: 'a,
T: 'a + ?Sized,
fn pipe_deref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R where
Self: Deref<Target = T>,
R: 'a,
T: 'a + ?Sized,
Borrows self
, then passes self.deref()
into the pipe function.
fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,
fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,
Immutable access to the Borrow<B>
of a value. Read more
fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,
fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,
Mutable access to the BorrowMut<B>
of a value. Read more
Immutable access to the AsRef<R>
view of a value. Read more
fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,
fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,
Mutable access to the AsMut<R>
view of a value. Read more
Immutable access to the Deref::Target
of a value. Read more
Mutable access to the Deref::Target
of a value. Read more
Calls .tap()
only in debug builds, and is erased in release builds.
fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self
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<B>(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,
fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,
Calls .tap_borrow()
only in debug builds, and is erased in release
builds. Read more
fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,
fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
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)) -> Self where
Self: AsRef<R>,
R: ?Sized,
fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Self where
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)) -> Self where
Self: AsMut<R>,
R: ?Sized,
fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,
Calls .tap_ref_mut()
only in debug builds, and is erased in release
builds. Read more