#[repr(C, align(32))]pub struct Bn254Scalar(/* private fields */);
Expand description
An element of the ring of integers modulo a positive integer. The element is internally represented as a fixed size array of bytes.
§Caution
It is not guaranteed that the integer representation is less than the modulus. After any arithmetic operation, the honest host should normalize the result to its canonical representation less than the modulus, but guest execution does not require it.
See assert_reduced
and
is_reduced
.
Implementations§
Source§impl Bn254Scalar
impl Bn254Scalar
Sourcepub const fn from_const_bytes(bytes: [u8; 32]) -> Self
pub const fn from_const_bytes(bytes: [u8; 32]) -> Self
Constructor from little-endian bytes. Does not enforce the integer value of bytes
must be less than the modulus.
Trait Implementations§
Source§impl<'a> Add<&'a Bn254Scalar> for &Bn254Scalar
impl<'a> Add<&'a Bn254Scalar> for &Bn254Scalar
Source§type Output = Bn254Scalar
type Output = Bn254Scalar
+
operator.Source§impl<'a> Add<&'a Bn254Scalar> for Bn254Scalar
impl<'a> Add<&'a Bn254Scalar> for Bn254Scalar
Source§type Output = Bn254Scalar
type Output = Bn254Scalar
+
operator.Source§impl Add for Bn254Scalar
impl Add for Bn254Scalar
Source§impl<'a> AddAssign<&'a Bn254Scalar> for Bn254Scalar
impl<'a> AddAssign<&'a Bn254Scalar> for Bn254Scalar
Source§fn add_assign(&mut self, other: &'a Bn254Scalar)
fn add_assign(&mut self, other: &'a Bn254Scalar)
+=
operation. Read moreSource§impl AddAssign for Bn254Scalar
impl AddAssign for Bn254Scalar
Source§fn add_assign(&mut self, other: Self)
fn add_assign(&mut self, other: Self)
+=
operation. Read moreSource§impl Clone for Bn254Scalar
impl Clone for Bn254Scalar
Source§fn clone(&self) -> Bn254Scalar
fn clone(&self) -> Bn254Scalar
1.0.0 · Source§fn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
source
. Read moreSource§impl Debug for Bn254Scalar
impl Debug for Bn254Scalar
Source§impl<'de> Deserialize<'de> for Bn254Scalar
impl<'de> Deserialize<'de> for Bn254Scalar
Source§fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where
__D: Deserializer<'de>,
fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where
__D: Deserializer<'de>,
Source§impl<'a> DivAssignUnsafe<&'a Bn254Scalar> for Bn254Scalar
impl<'a> DivAssignUnsafe<&'a Bn254Scalar> for Bn254Scalar
Source§fn div_assign_unsafe(&mut self, other: &'a Bn254Scalar)
fn div_assign_unsafe(&mut self, other: &'a Bn254Scalar)
Undefined behaviour when denominator is not coprime to N
Source§impl DivAssignUnsafe for Bn254Scalar
impl DivAssignUnsafe for Bn254Scalar
Source§fn div_assign_unsafe(&mut self, other: Self)
fn div_assign_unsafe(&mut self, other: Self)
Undefined behaviour when denominator is not coprime to N
Source§impl<'a> DivUnsafe<&'a Bn254Scalar> for &Bn254Scalar
impl<'a> DivUnsafe<&'a Bn254Scalar> for &Bn254Scalar
Source§fn div_unsafe(self, other: &'a Bn254Scalar) -> Self::Output
fn div_unsafe(self, other: &'a Bn254Scalar) -> Self::Output
Undefined behaviour when denominator is not coprime to N
Source§type Output = Bn254Scalar
type Output = Bn254Scalar
div_unsafe
.Source§impl<'a> DivUnsafe<&'a Bn254Scalar> for Bn254Scalar
impl<'a> DivUnsafe<&'a Bn254Scalar> for Bn254Scalar
Source§fn div_unsafe(self, other: &'a Bn254Scalar) -> Self::Output
fn div_unsafe(self, other: &'a Bn254Scalar) -> Self::Output
Undefined behaviour when denominator is not coprime to N
Source§type Output = Bn254Scalar
type Output = Bn254Scalar
div_unsafe
.Source§impl DivUnsafe for Bn254Scalar
impl DivUnsafe for Bn254Scalar
Source§fn div_unsafe(self, other: Self) -> Self::Output
fn div_unsafe(self, other: Self) -> Self::Output
Undefined behaviour when denominator is not coprime to N
Source§type Output = Bn254Scalar
type Output = Bn254Scalar
div_unsafe
.Source§impl IntMod for Bn254Scalar
impl IntMod for Bn254Scalar
Source§fn assert_reduced(&self)
fn assert_reduced(&self)
If self
is not in its canonical form, the proof will fail to verify.
This means guest execution will never terminate (either successfully or
unsuccessfully) if self
is not in its canonical form.
Source§const NUM_LIMBS: usize = 32usize
const NUM_LIMBS: usize = 32usize
Self
.Source§type Repr = [u8; 32]
type Repr = [u8; 32]
[u8; NUM_LIMBS]
.Source§type SelfRef<'a> = &'a Bn254Scalar
type SelfRef<'a> = &'a Bn254Scalar
SelfRef<'a>
should almost always be &'a Self
. This is a way to include implementations of binary operations where both sides are &'a Self
.Source§fn from_repr(repr: Self::Repr) -> Self
fn from_repr(repr: Self::Repr) -> Self
bytes
must be less than the modulus.Source§fn from_le_bytes(bytes: &[u8]) -> Self
fn from_le_bytes(bytes: &[u8]) -> Self
bytes
must be less than the modulus.Source§fn from_be_bytes(bytes: &[u8]) -> Self
fn from_be_bytes(bytes: &[u8]) -> Self
bytes
must be less than the modulus.Source§fn from_u8(val: u8) -> Self
fn from_u8(val: u8) -> Self
bytes
must be less than the modulus.Source§fn from_u32(val: u32) -> Self
fn from_u32(val: u32) -> Self
bytes
must be less than the modulus.Source§fn from_u64(val: u64) -> Self
fn from_u64(val: u64) -> Self
bytes
must be less than the modulus.Source§fn as_le_bytes(&self) -> &[u8] ⓘ
fn as_le_bytes(&self) -> &[u8] ⓘ
Source§fn to_be_bytes(&self) -> [u8; 32]
fn to_be_bytes(&self) -> [u8; 32]
Source§fn modulus_biguint() -> BigUint
fn modulus_biguint() -> BigUint
Source§fn from_biguint(biguint: BigUint) -> Self
fn from_biguint(biguint: BigUint) -> Self
Source§fn as_biguint(&self) -> BigUint
fn as_biguint(&self) -> BigUint
fn neg_assign(&mut self)
Source§fn double_assign(&mut self)
fn double_assign(&mut self)
self
in-place.Source§fn square_assign(&mut self)
fn square_assign(&mut self)
self
in-place.Source§fn is_reduced(&self) -> bool
fn is_reduced(&self) -> bool
self
less than the modulus?Source§impl<'a> Mul<&'a Bn254Scalar> for &Bn254Scalar
impl<'a> Mul<&'a Bn254Scalar> for &Bn254Scalar
Source§type Output = Bn254Scalar
type Output = Bn254Scalar
*
operator.Source§impl<'a> Mul<&'a Bn254Scalar> for Bn254Scalar
impl<'a> Mul<&'a Bn254Scalar> for Bn254Scalar
Source§type Output = Bn254Scalar
type Output = Bn254Scalar
*
operator.Source§impl Mul for Bn254Scalar
impl Mul for Bn254Scalar
Source§impl<'a> MulAssign<&'a Bn254Scalar> for Bn254Scalar
impl<'a> MulAssign<&'a Bn254Scalar> for Bn254Scalar
Source§fn mul_assign(&mut self, other: &'a Bn254Scalar)
fn mul_assign(&mut self, other: &'a Bn254Scalar)
*=
operation. Read moreSource§impl MulAssign for Bn254Scalar
impl MulAssign for Bn254Scalar
Source§fn mul_assign(&mut self, other: Self)
fn mul_assign(&mut self, other: Self)
*=
operation. Read moreSource§impl<'a> Neg for &'a Bn254Scalar
impl<'a> Neg for &'a Bn254Scalar
Source§impl Neg for Bn254Scalar
impl Neg for Bn254Scalar
Source§impl PartialEq for Bn254Scalar
impl PartialEq for Bn254Scalar
Source§impl<'a> Product<&'a Bn254Scalar> for Bn254Scalar
impl<'a> Product<&'a Bn254Scalar> for Bn254Scalar
Source§fn product<I: Iterator<Item = &'a Bn254Scalar>>(iter: I) -> Self
fn product<I: Iterator<Item = &'a Bn254Scalar>>(iter: I) -> Self
Self
from the elements by multiplying
the items.Source§impl Product for Bn254Scalar
impl Product for Bn254Scalar
Source§impl Reduce for Bn254Scalar
impl Reduce for Bn254Scalar
Source§fn reduce_le_bytes(bytes: &[u8]) -> Self
fn reduce_le_bytes(bytes: &[u8]) -> Self
fn reduce_be_bytes(bytes: &[u8]) -> Self
Source§impl Serialize for Bn254Scalar
impl Serialize for Bn254Scalar
Source§impl<'a> Sub<&'a Bn254Scalar> for Bn254Scalar
impl<'a> Sub<&'a Bn254Scalar> for Bn254Scalar
Source§type Output = Bn254Scalar
type Output = Bn254Scalar
-
operator.Source§impl<'a> Sub for &'a Bn254Scalar
impl<'a> Sub for &'a Bn254Scalar
Source§type Output = Bn254Scalar
type Output = Bn254Scalar
-
operator.Source§impl Sub for Bn254Scalar
impl Sub for Bn254Scalar
Source§impl<'a> SubAssign<&'a Bn254Scalar> for Bn254Scalar
impl<'a> SubAssign<&'a Bn254Scalar> for Bn254Scalar
Source§fn sub_assign(&mut self, other: &'a Bn254Scalar)
fn sub_assign(&mut self, other: &'a Bn254Scalar)
-=
operation. Read moreSource§impl SubAssign for Bn254Scalar
impl SubAssign for Bn254Scalar
Source§fn sub_assign(&mut self, other: Self)
fn sub_assign(&mut self, other: Self)
-=
operation. Read moreSource§impl<'a> Sum<&'a Bn254Scalar> for Bn254Scalar
impl<'a> Sum<&'a Bn254Scalar> for Bn254Scalar
Source§fn sum<I: Iterator<Item = &'a Bn254Scalar>>(iter: I) -> Self
fn sum<I: Iterator<Item = &'a Bn254Scalar>>(iter: I) -> Self
Self
from the elements by “summing up”
the items.Source§impl Sum for Bn254Scalar
impl Sum for Bn254Scalar
impl Eq for Bn254Scalar
Auto Trait Implementations§
impl Freeze for Bn254Scalar
impl RefUnwindSafe for Bn254Scalar
impl Send for Bn254Scalar
impl Sync for Bn254Scalar
impl Unpin for Bn254Scalar
impl UnwindSafe for Bn254Scalar
Blanket Implementations§
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
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impl<T> FmtForward for T
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Self: Display,
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Self: Display,
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to use its Display
implementation when
Debug
-formatted.Source§fn fmt_lower_exp(self) -> FmtLowerExp<Self>where
Self: LowerExp,
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Self: LowerExp,
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Debug
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fn into_either(self, into_left: bool) -> Either<Self, Self>
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returns true
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Converts self
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