Struct prio::field::FieldPrio2
source · pub struct FieldPrio2(/* private fields */);
Expand description
Same as Field32, but encoded in little endian for compatibility with Prio v2.
This structure represents a field element in a prime order field. The concrete
representation of the element is via the Montgomery domain. For an element n
in
GF(p)
, we store n * R^-1 mod p
(where R
is a given power of two). This
representation enables using a more efficient (and branchless) multiplication algorithm,
at the expense of having to convert elements between their Montgomery domain
representation and natural representation. For calculations with many multiplications or
exponentiations, this is worthwhile.
As an invariant, this integer representing the field element in the Montgomery domain
must be less than the field modulus, p
.
Trait Implementations§
source§impl Add for &FieldPrio2
impl Add for &FieldPrio2
§type Output = FieldPrio2
type Output = FieldPrio2
The resulting type after applying the
+
operator.source§fn add(self, rhs: Self) -> FieldPrio2
fn add(self, rhs: Self) -> FieldPrio2
Performs the
+
operation. Read moresource§impl Add for FieldPrio2
impl Add for FieldPrio2
source§impl AddAssign for FieldPrio2
impl AddAssign for FieldPrio2
source§fn add_assign(&mut self, rhs: Self)
fn add_assign(&mut self, rhs: Self)
Performs the
+=
operation. Read moresource§impl Clone for FieldPrio2
impl Clone for FieldPrio2
source§fn clone(&self) -> FieldPrio2
fn clone(&self) -> FieldPrio2
Returns a copy of the value. Read more
1.0.0 · source§fn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
Performs copy-assignment from
source
. Read moresource§impl ConditionallySelectable for FieldPrio2
impl ConditionallySelectable for FieldPrio2
source§impl ConstantTimeEq for FieldPrio2
impl ConstantTimeEq for FieldPrio2
source§impl Debug for FieldPrio2
impl Debug for FieldPrio2
source§impl Decode for FieldPrio2
impl Decode for FieldPrio2
source§fn decode(bytes: &mut Cursor<&[u8]>) -> Result<Self, CodecError>
fn decode(bytes: &mut Cursor<&[u8]>) -> Result<Self, CodecError>
Read and decode an encoded object from
bytes
. On success, the decoded value is returned
and bytes
is advanced by the encoded size of the value. On failure, an error is returned
and no further attempt to read from bytes
should be made.source§fn get_decoded(bytes: &[u8]) -> Result<Self, CodecError>
fn get_decoded(bytes: &[u8]) -> Result<Self, CodecError>
Convenience method to get a decoded value. Returns an error if
Self::decode
fails, or if
there are any bytes left in bytes
after decoding a value.source§impl Default for FieldPrio2
impl Default for FieldPrio2
source§fn default() -> FieldPrio2
fn default() -> FieldPrio2
Returns the “default value” for a type. Read more
source§impl<'de> Deserialize<'de> for FieldPrio2
impl<'de> Deserialize<'de> for FieldPrio2
source§fn deserialize<D: Deserializer<'de>>(
deserializer: D
) -> Result<FieldPrio2, D::Error>
fn deserialize<D: Deserializer<'de>>( deserializer: D ) -> Result<FieldPrio2, D::Error>
Deserialize this value from the given Serde deserializer. Read more
source§impl Display for FieldPrio2
impl Display for FieldPrio2
source§impl Distribution<FieldPrio2> for Standard
impl Distribution<FieldPrio2> for Standard
source§impl Div for &FieldPrio2
impl Div for &FieldPrio2
§type Output = FieldPrio2
type Output = FieldPrio2
The resulting type after applying the
/
operator.source§fn div(self, rhs: Self) -> FieldPrio2
fn div(self, rhs: Self) -> FieldPrio2
Performs the
/
operation. Read moresource§impl Div for FieldPrio2
impl Div for FieldPrio2
source§impl DivAssign for FieldPrio2
impl DivAssign for FieldPrio2
source§fn div_assign(&mut self, rhs: Self)
fn div_assign(&mut self, rhs: Self)
Performs the
/=
operation. Read moresource§impl Encode for FieldPrio2
impl Encode for FieldPrio2
source§fn encode(&self, bytes: &mut Vec<u8>) -> Result<(), CodecError>
fn encode(&self, bytes: &mut Vec<u8>) -> Result<(), CodecError>
Append the encoded form of this object to the end of
bytes
, growing the vector as needed.source§fn encoded_len(&self) -> Option<usize>
fn encoded_len(&self) -> Option<usize>
Returns an optional hint indicating how many bytes will be required to encode this value, or
None
by default.source§fn get_encoded(&self) -> Result<Vec<u8>, CodecError>
fn get_encoded(&self) -> Result<Vec<u8>, CodecError>
Convenience method to encode a value into a new
Vec<u8>
.source§impl FftFriendlyFieldElement for FieldPrio2
impl FftFriendlyFieldElement for FieldPrio2
source§fn generator() -> Self
fn generator() -> Self
Returns the generator of the multiplicative subgroup of size
FftFriendlyFieldElement::generator_order
.source§fn generator_order() -> Self::Integer
fn generator_order() -> Self::Integer
Returns the size of the multiplicative subgroup generated by
FftFriendlyFieldElement::generator
.source§impl FieldElement for FieldPrio2
impl FieldElement for FieldPrio2
source§const ENCODED_SIZE: usize = 4usize
const ENCODED_SIZE: usize = 4usize
Size in bytes of an encoded field element.
source§fn inv(&self) -> Self
fn inv(&self) -> Self
Modular inversion, i.e.,
self^-1 (mod p)
. If self
is 0, then the output is undefined.source§fn slice_into_byte_vec(values: &[Self]) -> Vec<u8>
fn slice_into_byte_vec(values: &[Self]) -> Vec<u8>
👎Deprecated
Convert a slice of field elements into a vector of bytes. Read more
source§fn byte_slice_into_vec(bytes: &[u8]) -> Result<Vec<Self>, FieldError>
fn byte_slice_into_vec(bytes: &[u8]) -> Result<Vec<Self>, FieldError>
👎Deprecated
Convert a slice of bytes into a vector of field elements. The slice is interpreted as a
sequence of
Self::ENCODED_SIZE
-byte sequences. Read moresource§impl FieldElementWithInteger for FieldPrio2
impl FieldElementWithInteger for FieldPrio2
source§fn encode_as_bitvector(
input: Self::Integer,
bits: usize
) -> Result<BitvectorRepresentationIter<Self>, FieldError>
fn encode_as_bitvector( input: Self::Integer, bits: usize ) -> Result<BitvectorRepresentationIter<Self>, FieldError>
Encode the integer
input
as a sequence of bits in two’s complement representation, least
significant bit first, and then map each bit to a field element. Read moresource§fn decode_bitvector(input: &[Self]) -> Result<Self, FieldError>
fn decode_bitvector(input: &[Self]) -> Result<Self, FieldError>
Inverts the encoding done by
Self::encode_as_bitvector
, and returns a single field
element. Read moresource§impl From<FieldPrio2> for [u8; 4]
impl From<FieldPrio2> for [u8; 4]
source§fn from(elem: FieldPrio2) -> Self
fn from(elem: FieldPrio2) -> Self
Converts to this type from the input type.
source§impl From<FieldPrio2> for Vec<u8>
impl From<FieldPrio2> for Vec<u8>
source§fn from(elem: FieldPrio2) -> Self
fn from(elem: FieldPrio2) -> Self
Converts to this type from the input type.
source§impl From<FieldPrio2> for u32
impl From<FieldPrio2> for u32
source§fn from(x: FieldPrio2) -> Self
fn from(x: FieldPrio2) -> Self
Converts to this type from the input type.
source§impl From<u32> for FieldPrio2
impl From<u32> for FieldPrio2
source§impl Hash for FieldPrio2
impl Hash for FieldPrio2
source§impl Mul for &FieldPrio2
impl Mul for &FieldPrio2
§type Output = FieldPrio2
type Output = FieldPrio2
The resulting type after applying the
*
operator.source§fn mul(self, rhs: Self) -> FieldPrio2
fn mul(self, rhs: Self) -> FieldPrio2
Performs the
*
operation. Read moresource§impl Mul for FieldPrio2
impl Mul for FieldPrio2
source§impl MulAssign for FieldPrio2
impl MulAssign for FieldPrio2
source§fn mul_assign(&mut self, rhs: Self)
fn mul_assign(&mut self, rhs: Self)
Performs the
*=
operation. Read moresource§impl Neg for &FieldPrio2
impl Neg for &FieldPrio2
§type Output = FieldPrio2
type Output = FieldPrio2
The resulting type after applying the
-
operator.source§fn neg(self) -> FieldPrio2
fn neg(self) -> FieldPrio2
Performs the unary
-
operation. Read moresource§impl Neg for FieldPrio2
impl Neg for FieldPrio2
source§impl PartialEq<u32> for FieldPrio2
impl PartialEq<u32> for FieldPrio2
source§impl PartialEq for FieldPrio2
impl PartialEq for FieldPrio2
source§impl Serialize for FieldPrio2
impl Serialize for FieldPrio2
source§impl Sub for &FieldPrio2
impl Sub for &FieldPrio2
§type Output = FieldPrio2
type Output = FieldPrio2
The resulting type after applying the
-
operator.source§fn sub(self, rhs: Self) -> FieldPrio2
fn sub(self, rhs: Self) -> FieldPrio2
Performs the
-
operation. Read moresource§impl Sub for FieldPrio2
impl Sub for FieldPrio2
source§impl SubAssign for FieldPrio2
impl SubAssign for FieldPrio2
source§fn sub_assign(&mut self, rhs: Self)
fn sub_assign(&mut self, rhs: Self)
Performs the
-=
operation. Read moresource§impl<'a> TryFrom<&'a [u8]> for FieldPrio2
impl<'a> TryFrom<&'a [u8]> for FieldPrio2
§type Error = FieldError
type Error = FieldError
The type returned in the event of a conversion error.
impl Copy for FieldPrio2
impl Eq for FieldPrio2
Auto Trait Implementations§
impl Freeze for FieldPrio2
impl RefUnwindSafe for FieldPrio2
impl Send for FieldPrio2
impl Sync for FieldPrio2
impl Unpin for FieldPrio2
impl UnwindSafe for FieldPrio2
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source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
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fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more
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Casts the value.
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Src: CheckedCast<Dst>,
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Casts the value.
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impl<T> ConditionallyNegatable for T
source§fn conditional_negate(&mut self, choice: Choice)
fn conditional_negate(&mut self, choice: Choice)
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-formatted.source§impl<F> IdpfValue for Fwhere
F: FieldElement,
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F: FieldElement,
§type ValueParameter = ()
type ValueParameter = ()
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