Struct irmaseal_curve::Scalar
source · pub struct Scalar(_);
Expand description
Represents an element of the scalar field $\mathbb{F}_q$ of the BLS12-381 elliptic curve construction.
Implementations§
source§impl Scalar
impl Scalar
sourcepub fn from_bytes(bytes: &[u8; 32]) -> CtOption<Scalar>
pub fn from_bytes(bytes: &[u8; 32]) -> CtOption<Scalar>
Attempts to convert a little-endian byte representation of
a scalar into a Scalar
, failing if the input is not canonical.
sourcepub fn to_bytes(&self) -> [u8; 32]
pub fn to_bytes(&self) -> [u8; 32]
Converts an element of Scalar
into a byte representation in
little-endian byte order.
sourcepub fn from_bytes_wide(bytes: &[u8; 64]) -> Scalar
pub fn from_bytes_wide(bytes: &[u8; 64]) -> Scalar
Converts a 512-bit little endian integer into
a Scalar
by reducing by the modulus.
sourcepub const fn from_raw(val: [u64; 4]) -> Self
pub const fn from_raw(val: [u64; 4]) -> Self
Converts from an integer represented in little endian
into its (congruent) Scalar
representation.
sourcepub fn pow(&self, by: &[u64; 4]) -> Self
pub fn pow(&self, by: &[u64; 4]) -> Self
Exponentiates self
by by
, where by
is a
little-endian order integer exponent.
sourcepub fn pow_vartime(&self, by: &[u64; 4]) -> Self
pub fn pow_vartime(&self, by: &[u64; 4]) -> Self
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.
Trait Implementations§
source§impl<'b> AddAssign<&'b Scalar> for Scalar
impl<'b> AddAssign<&'b Scalar> for Scalar
source§fn add_assign(&mut self, rhs: &'b Scalar)
fn add_assign(&mut self, rhs: &'b Scalar)
+=
operation. Read moresource§impl AddAssign<Scalar> for Scalar
impl AddAssign<Scalar> for Scalar
source§fn add_assign(&mut self, rhs: Scalar)
fn add_assign(&mut self, rhs: Scalar)
+=
operation. Read moresource§impl ConditionallySelectable for Scalar
impl ConditionallySelectable for Scalar
source§impl ConstantTimeEq for Scalar
impl ConstantTimeEq for Scalar
source§impl Field for Scalar
impl Field for Scalar
source§fn random(rng: impl RngCore) -> Self
fn random(rng: impl RngCore) -> Self
source§fn invert(&self) -> CtOption<Self>
fn invert(&self) -> CtOption<Self>
source§fn sqrt(&self) -> CtOption<Self>
fn sqrt(&self) -> CtOption<Self>
source§fn is_zero_vartime(&self) -> bool
fn is_zero_vartime(&self) -> bool
source§impl<'a, 'b> Mul<&'b Scalar> for &'a G1Projective
impl<'a, 'b> Mul<&'b Scalar> for &'a G1Projective
source§impl<'a, 'b> Mul<&'b Scalar> for &'a G2Projective
impl<'a, 'b> Mul<&'b Scalar> for &'a G2Projective
source§impl<'b> Mul<&'b Scalar> for G1Affine
impl<'b> Mul<&'b Scalar> for G1Affine
§type Output = G1Projective
type Output = G1Projective
*
operator.source§impl<'b> Mul<&'b Scalar> for G1Projective
impl<'b> Mul<&'b Scalar> for G1Projective
§type Output = G1Projective
type Output = G1Projective
*
operator.source§impl<'b> Mul<&'b Scalar> for G2Affine
impl<'b> Mul<&'b Scalar> for G2Affine
§type Output = G2Projective
type Output = G2Projective
*
operator.source§impl<'b> Mul<&'b Scalar> for G2Projective
impl<'b> Mul<&'b Scalar> for G2Projective
§type Output = G2Projective
type Output = G2Projective
*
operator.source§impl<'a> Mul<Scalar> for &'a G1Affine
impl<'a> Mul<Scalar> for &'a G1Affine
§type Output = G1Projective
type Output = G1Projective
*
operator.source§impl<'a> Mul<Scalar> for &'a G1Projective
impl<'a> Mul<Scalar> for &'a G1Projective
§type Output = G1Projective
type Output = G1Projective
*
operator.source§impl<'a> Mul<Scalar> for &'a G2Affine
impl<'a> Mul<Scalar> for &'a G2Affine
§type Output = G2Projective
type Output = G2Projective
*
operator.source§impl<'a> Mul<Scalar> for &'a G2Projective
impl<'a> Mul<Scalar> for &'a G2Projective
§type Output = G2Projective
type Output = G2Projective
*
operator.source§impl Mul<Scalar> for G1Affine
impl Mul<Scalar> for G1Affine
§type Output = G1Projective
type Output = G1Projective
*
operator.source§impl Mul<Scalar> for G1Projective
impl Mul<Scalar> for G1Projective
§type Output = G1Projective
type Output = G1Projective
*
operator.source§impl Mul<Scalar> for G2Affine
impl Mul<Scalar> for G2Affine
§type Output = G2Projective
type Output = G2Projective
*
operator.source§impl Mul<Scalar> for G2Projective
impl Mul<Scalar> for G2Projective
§type Output = G2Projective
type Output = G2Projective
*
operator.source§impl<'b> MulAssign<&'b Scalar> for G1Projective
impl<'b> MulAssign<&'b Scalar> for G1Projective
source§fn mul_assign(&mut self, rhs: &'b Scalar)
fn mul_assign(&mut self, rhs: &'b Scalar)
*=
operation. Read moresource§impl<'b> MulAssign<&'b Scalar> for G2Projective
impl<'b> MulAssign<&'b Scalar> for G2Projective
source§fn mul_assign(&mut self, rhs: &'b Scalar)
fn mul_assign(&mut self, rhs: &'b Scalar)
*=
operation. Read moresource§impl<'b> MulAssign<&'b Scalar> for Gt
impl<'b> MulAssign<&'b Scalar> for Gt
source§fn mul_assign(&mut self, rhs: &'b Scalar)
fn mul_assign(&mut self, rhs: &'b Scalar)
*=
operation. Read moresource§impl<'b> MulAssign<&'b Scalar> for Scalar
impl<'b> MulAssign<&'b Scalar> for Scalar
source§fn mul_assign(&mut self, rhs: &'b Scalar)
fn mul_assign(&mut self, rhs: &'b Scalar)
*=
operation. Read moresource§impl MulAssign<Scalar> for G1Projective
impl MulAssign<Scalar> for G1Projective
source§fn mul_assign(&mut self, rhs: Scalar)
fn mul_assign(&mut self, rhs: Scalar)
*=
operation. Read moresource§impl MulAssign<Scalar> for G2Projective
impl MulAssign<Scalar> for G2Projective
source§fn mul_assign(&mut self, rhs: Scalar)
fn mul_assign(&mut self, rhs: Scalar)
*=
operation. Read moresource§impl MulAssign<Scalar> for Gt
impl MulAssign<Scalar> for Gt
source§fn mul_assign(&mut self, rhs: Scalar)
fn mul_assign(&mut self, rhs: Scalar)
*=
operation. Read moresource§impl MulAssign<Scalar> for Scalar
impl MulAssign<Scalar> for Scalar
source§fn mul_assign(&mut self, rhs: Scalar)
fn mul_assign(&mut self, rhs: Scalar)
*=
operation. Read moresource§impl PartialEq<Scalar> for Scalar
impl PartialEq<Scalar> for Scalar
source§impl PrimeField for Scalar
impl PrimeField for Scalar
§type Repr = [u8; 32]
type Repr = [u8; 32]
source§fn from_repr(r: Self::Repr) -> CtOption<Self>
fn from_repr(r: Self::Repr) -> CtOption<Self>
source§fn to_repr(&self) -> Self::Repr
fn to_repr(&self) -> Self::Repr
source§const CAPACITY: u32 = 254u32
const CAPACITY: u32 = 254u32
source§fn multiplicative_generator() -> Self
fn multiplicative_generator() -> Self
modulus - 1
order. This element must
also be a quadratic nonresidue. Read moresource§fn root_of_unity() -> Self
fn root_of_unity() -> Self
2^s
root of unity. Read moresource§fn from_str_vartime(s: &str) -> Option<Self>
fn from_str_vartime(s: &str) -> Option<Self>
source§impl PrimeFieldBits for Scalar
impl PrimeFieldBits for Scalar
source§fn to_le_bits(&self) -> FieldBits<Self::ReprBits>
fn to_le_bits(&self) -> FieldBits<Self::ReprBits>
source§fn char_le_bits() -> FieldBits<Self::ReprBits>
fn char_le_bits() -> FieldBits<Self::ReprBits>
source§impl<'b> SubAssign<&'b Scalar> for Scalar
impl<'b> SubAssign<&'b Scalar> for Scalar
source§fn sub_assign(&mut self, rhs: &'b Scalar)
fn sub_assign(&mut self, rhs: &'b Scalar)
-=
operation. Read moresource§impl SubAssign<Scalar> for Scalar
impl SubAssign<Scalar> for Scalar
source§fn sub_assign(&mut self, rhs: Scalar)
fn sub_assign(&mut self, rhs: Scalar)
-=
operation. Read moreimpl Copy for Scalar
impl Eq for Scalar
impl StructuralEq for Scalar
Auto Trait Implementations§
impl RefUnwindSafe for Scalar
impl Send for Scalar
impl Sync for Scalar
impl Unpin for Scalar
impl UnwindSafe for Scalar
Blanket Implementations§
source§impl<T> ConditionallyNegatable for Twhere
T: ConditionallySelectable,
&'a T: for<'a> Neg<Output = T>,
impl<T> ConditionallyNegatable for Twhere T: ConditionallySelectable, &'a T: for<'a> Neg<Output = T>,
source§fn conditional_negate(&mut self, choice: Choice)
fn conditional_negate(&mut self, choice: Choice)
§impl<T> Conv for T
impl<T> Conv for T
§impl<T> FmtForward for T
impl<T> FmtForward for T
§fn fmt_binary(self) -> FmtBinary<Self>where
Self: Binary,
fn fmt_binary(self) -> FmtBinary<Self>where Self: Binary,
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,
self
to use its Display
implementation when
Debug
-formatted.§fn fmt_lower_exp(self) -> FmtLowerExp<Self>where
Self: LowerExp,
fn fmt_lower_exp(self) -> FmtLowerExp<Self>where Self: LowerExp,
self
to use its LowerExp
implementation when
Debug
-formatted.§fn fmt_lower_hex(self) -> FmtLowerHex<Self>where
Self: LowerHex,
fn fmt_lower_hex(self) -> FmtLowerHex<Self>where Self: LowerHex,
self
to use its LowerHex
implementation when
Debug
-formatted.§fn fmt_octal(self) -> FmtOctal<Self>where
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self
to use its Octal
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-formatted.§fn fmt_pointer(self) -> FmtPointer<Self>where
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self
to use its Pointer
implementation when
Debug
-formatted.§fn fmt_upper_exp(self) -> FmtUpperExp<Self>where
Self: UpperExp,
fn fmt_upper_exp(self) -> FmtUpperExp<Self>where Self: UpperExp,
self
to use its UpperExp
implementation when
Debug
-formatted.§fn fmt_upper_hex(self) -> FmtUpperHex<Self>where
Self: UpperHex,
fn fmt_upper_hex(self) -> FmtUpperHex<Self>where Self: UpperHex,
self
to use its UpperHex
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Debug
-formatted.§fn fmt_list(self) -> FmtList<Self>where
&'a Self: for<'a> IntoIterator,
fn fmt_list(self) -> FmtList<Self>where &'a Self: for<'a> IntoIterator,
§impl<T> Pipe for Twhere
T: ?Sized,
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Self: Sized,
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