Struct scuttlebutt::field::F128b
source · [−]pub struct F128b(_);
Expand description
An element of the finite field $\textsf{GF}(2^{128})$ reduced over $x^{128} + x^7 + x^2 + x + 1$
Trait Implementations
sourceimpl<'a> AddAssign<&'a F128b> for F128b
impl<'a> AddAssign<&'a F128b> for F128b
sourcefn add_assign(&mut self, rhs: &'a F128b)
fn add_assign(&mut self, rhs: &'a F128b)
Performs the
+=
operation. Read moresourceimpl AddAssign<F128b> for F128b
impl AddAssign<F128b> for F128b
sourcefn add_assign(&mut self, rhs: F128b)
fn add_assign(&mut self, rhs: F128b)
Performs the
+=
operation. Read moresourceimpl CanonicalSerialize for F128b
impl CanonicalSerialize for F128b
type Serializer = ByteElementSerializer<F128b>
type Serializer = ByteElementSerializer<F128b>
A way to serialize field elements of this type. Read more
type Deserializer = ByteElementDeserializer<F128b>
type Deserializer = ByteElementDeserializer<F128b>
A way to deserialize field elements of this type. Read more
type ByteReprLen = UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>, B0>
type ByteReprLen = UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>, B0>
The number of bytes in the byte representation for this element.
type FromBytesError = BytesDeserializationCannotFail
type FromBytesError = BytesDeserializationCannotFail
The error that can result from trying to decode an invalid byte sequence.
sourcefn from_bytes(
bytes: &GenericArray<u8, Self::ByteReprLen>
) -> Result<Self, Self::FromBytesError>
fn from_bytes(
bytes: &GenericArray<u8, Self::ByteReprLen>
) -> Result<Self, Self::FromBytesError>
Deserialize an element from a byte array. Read more
sourcefn to_bytes(&self) -> GenericArray<u8, Self::ByteReprLen>
fn to_bytes(&self) -> GenericArray<u8, Self::ByteReprLen>
Serialize an element into a byte array. Read more
sourceimpl ConditionallySelectable for F128b
impl ConditionallySelectable for F128b
sourcefn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self
fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self
sourcefn conditional_assign(&mut self, other: &Self, choice: Choice)
fn conditional_assign(&mut self, other: &Self, choice: Choice)
sourceimpl ConstantTimeEq for F128b
impl ConstantTimeEq for F128b
sourceimpl<'de> Deserialize<'de> for F128b
impl<'de> Deserialize<'de> for F128b
sourcefn deserialize<D: Deserializer<'de>>(deserializer: D) -> Result<Self, D::Error>
fn deserialize<D: Deserializer<'de>>(deserializer: D) -> Result<Self, D::Error>
Deserialize this value from the given Serde deserializer. Read more
sourceimpl Distribution<F128b> for Standard
impl Distribution<F128b> for Standard
sourcefn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> F128b
fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> F128b
Generate a random value of
T
, using rng
as the source of randomness.sourcefn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>where
R: Rng,
fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>where
R: Rng,
Create an iterator that generates random values of
T
, using rng
as
the source of randomness. Read moresourceimpl<'a> DivAssign<&'a F128b> for F128b
impl<'a> DivAssign<&'a F128b> for F128b
sourcefn div_assign(&mut self, rhs: &Self)
fn div_assign(&mut self, rhs: &Self)
Performs the
/=
operation. Read moresourceimpl DivAssign<F128b> for F128b
impl DivAssign<F128b> for F128b
sourcefn div_assign(&mut self, rhs: F128b)
fn div_assign(&mut self, rhs: F128b)
Performs the
/=
operation. Read moresourceimpl FiniteField for F128b
impl FiniteField for F128b
type PrimeField = F2
type PrimeField = F2
The prime-order subfield of the finite field.
sourcefn polynomial_modulus() -> Polynomial<Self::PrimeField>
fn polynomial_modulus() -> Polynomial<Self::PrimeField>
Multiplication over field elements should be reduced over this polynomial.
type NumberOfBitsInBitDecomposition = UInt<UInt<UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>, B0>, B0>, B0>, B0>
type NumberOfBitsInBitDecomposition = UInt<UInt<UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>, B0>, B0>, B0>, B0>
The number of bits in the bit decomposition of any element of this finite field. Read more
sourcefn bit_decomposition(
&self
) -> GenericArray<bool, Self::NumberOfBitsInBitDecomposition>
fn bit_decomposition(
&self
) -> GenericArray<bool, Self::NumberOfBitsInBitDecomposition>
Decompose the given field element into bits. Read more
sourcefn decompose<T: FiniteField + IsSubFieldOf<Self>>(
&self
) -> GenericArray<T, DegreeModulo<T, Self>>
fn decompose<T: FiniteField + IsSubFieldOf<Self>>(
&self
) -> GenericArray<T, DegreeModulo<T, Self>>
sourcefn from_subfield<T: FiniteField + IsSubFieldOf<Self>>(
arr: &GenericArray<T, DegreeModulo<T, Self>>
) -> Self
fn from_subfield<T: FiniteField + IsSubFieldOf<Self>>(
arr: &GenericArray<T, DegreeModulo<T, Self>>
) -> Self
Create a field element from an array of subfield
T
elements. Read moresourceimpl FiniteRing for F128b
impl FiniteRing for F128b
sourcefn from_uniform_bytes(x: &[u8; 16]) -> Self
fn from_uniform_bytes(x: &[u8; 16]) -> Self
Construct an element from the given uniformly chosen random bytes.
sourcefn random_nonzero<R: Rng + ?Sized>(rng: &mut R) -> Self
fn random_nonzero<R: Rng + ?Sized>(rng: &mut R) -> Self
Generate a random non-zero element.
sourcefn pow_bounded(&self, n: u128, bound: u16) -> Self
fn pow_bounded(&self, n: u128, bound: u16) -> Self
sourcefn pow_var_time(&self, n: u128) -> Self
fn pow_var_time(&self, n: u128) -> Self
Compute
self
to the power of n
, in non-constant time.sourceimpl IsSubFieldOf<F128b> for F2
impl IsSubFieldOf<F128b> for F2
type DegreeModulo = UInt<UInt<UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>, B0>, B0>, B0>, B0>
type DegreeModulo = UInt<UInt<UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>, B0>, B0>, B0>, B0>
The value $
n
$ from above.sourcefn decompose_superfield(fe: &F128b) -> GenericArray<Self, Self::DegreeModulo>
fn decompose_superfield(fe: &F128b) -> GenericArray<Self, Self::DegreeModulo>
Turn
FE
into an array of Self
, a subfield of FE
.sourcefn form_superfield(components: &GenericArray<Self, Self::DegreeModulo>) -> F128b
fn form_superfield(components: &GenericArray<Self, Self::DegreeModulo>) -> F128b
Homomorphically lift an array of
Self
into an FE
.sourceimpl<'a> MulAssign<&'a F128b> for F128b
impl<'a> MulAssign<&'a F128b> for F128b
sourcefn mul_assign(&mut self, rhs: &'a F128b)
fn mul_assign(&mut self, rhs: &'a F128b)
Performs the
*=
operation. Read moresourceimpl MulAssign<F128b> for F128b
impl MulAssign<F128b> for F128b
sourcefn mul_assign(&mut self, rhs: F128b)
fn mul_assign(&mut self, rhs: F128b)
Performs the
*=
operation. Read moresourceimpl<'a> SubAssign<&'a F128b> for F128b
impl<'a> SubAssign<&'a F128b> for F128b
sourcefn sub_assign(&mut self, rhs: &'a F128b)
fn sub_assign(&mut self, rhs: &'a F128b)
Performs the
-=
operation. Read moresourceimpl SubAssign<F128b> for F128b
impl SubAssign<F128b> for F128b
sourcefn sub_assign(&mut self, rhs: F128b)
fn sub_assign(&mut self, rhs: F128b)
Performs the
-=
operation. Read moreimpl Copy for F128b
impl Eq for F128b
impl IsSubRingOf<F128b> for F2
impl StructuralEq for F128b
Auto Trait Implementations
impl RefUnwindSafe for F128b
impl Send for F128b
impl Sync for F128b
impl Unpin for F128b
impl UnwindSafe for F128b
Blanket Implementations
sourceimpl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
const: unstable · sourcefn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more
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,
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,
fn fmt_lower_exp(self) -> FmtLowerExp<Self>where
Self: LowerExp,
fn fmt_lower_exp(self) -> FmtLowerExp<Self>where
Self: LowerExp,
fn fmt_lower_hex(self) -> FmtLowerHex<Self>where
Self: LowerHex,
fn fmt_lower_hex(self) -> FmtLowerHex<Self>where
Self: LowerHex,
fn fmt_octal(self) -> FmtOctal<Self>where
Self: Octal,
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,
fn fmt_pointer(self) -> FmtPointer<Self>where
Self: Pointer,
fn fmt_upper_exp(self) -> FmtUpperExp<Self>where
Self: UpperExp,
fn fmt_upper_exp(self) -> FmtUpperExp<Self>where
Self: UpperExp,
fn fmt_upper_hex(self) -> FmtUpperHex<Self>where
Self: UpperHex,
fn fmt_upper_hex(self) -> FmtUpperHex<Self>where
Self: UpperHex,
fn fmt_list(self) -> FmtList<Self>where
&'a Self: for<'a> IntoIterator,
fn fmt_list(self) -> FmtList<Self>where
&'a Self: for<'a> IntoIterator,
Formats each item in a sequence. Read more
sourceimpl<FE> IsSubFieldOf<FE> for FEwhere
FE: FiniteField,
impl<FE> IsSubFieldOf<FE> for FEwhere
FE: FiniteField,
type DegreeModulo = UInt<UTerm, B1>
type DegreeModulo = UInt<UTerm, B1>
The value $
n
$ from above.sourcefn decompose_superfield(
fe: &FE
) -> GenericArray<FE, <FE as IsSubFieldOf<FE>>::DegreeModulo>
fn decompose_superfield(
fe: &FE
) -> GenericArray<FE, <FE as IsSubFieldOf<FE>>::DegreeModulo>
Turn
FE
into an array of Self
, a subfield of FE
.sourcefn form_superfield(
components: &GenericArray<FE, <FE as IsSubFieldOf<FE>>::DegreeModulo>
) -> FE
fn form_superfield(
components: &GenericArray<FE, <FE as IsSubFieldOf<FE>>::DegreeModulo>
) -> FE
Homomorphically lift an array of
Self
into an FE
.impl<T> Pipe for Twhere
T: ?Sized,
impl<T> Pipe for Twhere
T: ?Sized,
fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> R
fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> R
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,
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 morefn pipe_ref_mut<'a, R>(&'a mut self, func: impl FnOnce(&'a mut Self) -> R) -> Rwhere
R: 'a,
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 morefn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> Rwhere
Self: Borrow<B>,
B: 'a + ?Sized,
R: 'a,
fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> Rwhere
Self: Borrow<B>,
B: 'a + ?Sized,
R: 'a,
fn pipe_borrow_mut<'a, B, R>(
&'a mut self,
func: impl FnOnce(&'a mut B) -> R
) -> Rwhere
Self: BorrowMut<B>,
B: 'a + ?Sized,
R: 'a,
fn pipe_borrow_mut<'a, B, R>(
&'a mut self,
func: impl FnOnce(&'a mut B) -> R
) -> Rwhere
Self: BorrowMut<B>,
B: 'a + ?Sized,
R: 'a,
fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> Rwhere
Self: AsRef<U>,
U: 'a + ?Sized,
R: 'a,
fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> Rwhere
Self: AsRef<U>,
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>,
U: 'a + ?Sized,
R: 'a,
fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> Rwhere
Self: AsMut<U>,
U: 'a + ?Sized,
R: 'a,
fn pipe_deref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> Rwhere
Self: Deref<Target = T>,
T: 'a + ?Sized,
R: 'a,
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.impl<T> Tap for T
impl<T> Tap for T
fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Selfwhere
Self: Borrow<B>,
B: ?Sized,
fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Selfwhere
Self: Borrow<B>,
B: ?Sized,
Immutable access to the
Borrow<B>
of a value. Read morefn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Selfwhere
Self: BorrowMut<B>,
B: ?Sized,
fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Selfwhere
Self: BorrowMut<B>,
B: ?Sized,
Mutable access to the
BorrowMut<B>
of a value. Read morefn tap_ref<R>(self, func: impl FnOnce(&R)) -> Selfwhere
Self: AsRef<R>,
R: ?Sized,
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 morefn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Selfwhere
Self: AsMut<R>,
R: ?Sized,
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 morefn tap_deref<T>(self, func: impl FnOnce(&T)) -> Selfwhere
Self: Deref<Target = T>,
T: ?Sized,
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 morefn tap_deref_mut<T>(self, func: impl FnOnce(&mut T)) -> Selfwhere
Self: DerefMut<Target = T> + Deref,
T: ?Sized,
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 morefn tap_dbg(self, func: impl FnOnce(&Self)) -> Self
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
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 morefn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Selfwhere
Self: Borrow<B>,
B: ?Sized,
fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Selfwhere
Self: Borrow<B>,
B: ?Sized,
Calls
.tap_borrow()
only in debug builds, and is erased in release
builds. Read morefn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Selfwhere
Self: BorrowMut<B>,
B: ?Sized,
fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Selfwhere
Self: BorrowMut<B>,
B: ?Sized,
Calls
.tap_borrow_mut()
only in debug builds, and is erased in release
builds. Read morefn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Selfwhere
Self: AsRef<R>,
R: ?Sized,
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 morefn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Selfwhere
Self: AsMut<R>,
R: ?Sized,
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