Struct fastcrypto_zkp::Fr
source · pub struct Fr(/* private fields */);
Expand description
Definition of the BN254 prime field.
Trait Implementations§
source§impl<'r> AddAssign<&'r Fr> for Fr
impl<'r> AddAssign<&'r Fr> for Fr
source§fn add_assign(&mut self, other: &Fr)
fn add_assign(&mut self, other: &Fr)
Performs the
+=
operation. Read moresource§impl AddAssign for Fr
impl AddAssign for Fr
source§fn add_assign(&mut self, other: Fr)
fn add_assign(&mut self, other: Fr)
Performs the
+=
operation. Read moresource§impl ConditionallySelectable for Fr
impl ConditionallySelectable for Fr
source§impl ConstantTimeEq for Fr
impl ConstantTimeEq for Fr
source§impl Field for Fr
impl Field for Fr
source§fn random(rng: impl RngCore) -> Self
fn random(rng: impl RngCore) -> Self
Computes a uniformly random element using rejection sampling.
source§fn is_zero_vartime(&self) -> bool
fn is_zero_vartime(&self) -> bool
Returns true iff this element is zero. Read more
source§fn invert(&self) -> CtOption<Self>
fn invert(&self) -> CtOption<Self>
Computes the multiplicative inverse of this element,
failing if the element is zero.
source§fn sqrt(&self) -> CtOption<Self>
fn sqrt(&self) -> CtOption<Self>
Returns the square root of the field element, if it is
quadratic residue. Read more
source§impl<'r> MulAssign<&'r Fr> for Fr
impl<'r> MulAssign<&'r Fr> for Fr
source§fn mul_assign(&mut self, other: &Fr)
fn mul_assign(&mut self, other: &Fr)
Performs the
*=
operation. Read moresource§impl MulAssign for Fr
impl MulAssign for Fr
source§fn mul_assign(&mut self, other: Fr)
fn mul_assign(&mut self, other: Fr)
Performs the
*=
operation. Read moresource§impl Ord for Fr
impl Ord for Fr
Elements are ordered lexicographically.
source§impl PartialOrd for Fr
impl PartialOrd for Fr
1.0.0 · source§fn le(&self, other: &Rhs) -> bool
fn le(&self, other: &Rhs) -> bool
This method tests less than or equal to (for
self
and other
) and is used by the <=
operator. Read moresource§impl PrimeField for Fr
impl PrimeField for Fr
source§fn from_repr(r: FrRepr) -> CtOption<Fr>
fn from_repr(r: FrRepr) -> CtOption<Fr>
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
source§fn from_repr_vartime(r: FrRepr) -> Option<Fr>
fn from_repr_vartime(r: FrRepr) -> Option<Fr>
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
source§fn to_repr(&self) -> FrRepr
fn to_repr(&self) -> FrRepr
Converts an element of the prime field into the standard byte representation for
this field. Read more
source§const MODULUS: &'static str = MODULUS_STR
const MODULUS: &'static str = MODULUS_STR
Modulus of the field written as a string for debugging purposes. Read more
source§const CAPACITY: u32 = 253u32
const CAPACITY: u32 = 253u32
How many bits of information can be reliably stored in the field element. Read more
source§const MULTIPLICATIVE_GENERATOR: Self = GENERATOR
const MULTIPLICATIVE_GENERATOR: Self = GENERATOR
A fixed multiplicative generator of
modulus - 1
order. This element must also be
a quadratic nonresidue. Read moresource§const ROOT_OF_UNITY: Self = ROOT_OF_UNITY
const ROOT_OF_UNITY: Self = ROOT_OF_UNITY
The
2^s
root of unity. Read moresource§const ROOT_OF_UNITY_INV: Self = ROOT_OF_UNITY_INV
const ROOT_OF_UNITY_INV: Self = ROOT_OF_UNITY_INV
Inverse of
Self::ROOT_OF_UNITY
.source§impl<'r> SubAssign<&'r Fr> for Fr
impl<'r> SubAssign<&'r Fr> for Fr
source§fn sub_assign(&mut self, other: &Fr)
fn sub_assign(&mut self, other: &Fr)
Performs the
-=
operation. Read moresource§impl SubAssign for Fr
impl SubAssign for Fr
source§fn sub_assign(&mut self, other: Fr)
fn sub_assign(&mut self, other: Fr)
Performs the
-=
operation. Read moreimpl Copy for Fr
impl Eq for Fr
Auto Trait Implementations§
impl Freeze for Fr
impl RefUnwindSafe for Fr
impl Send for Fr
impl Sync for Fr
impl Unpin for Fr
impl UnwindSafe for Fr
Blanket Implementations§
source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
source§fn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more
source§impl<Q, K> Comparable<K> for Q
impl<Q, K> Comparable<K> for Q
source§impl<Q, K> Equivalent<K> for Q
impl<Q, K> Equivalent<K> for Q
source§impl<Q, K> Equivalent<K> for Q
impl<Q, K> Equivalent<K> for Q
source§impl<Q, K> Equivalent<K> for Q
impl<Q, K> Equivalent<K> for Q
source§fn equivalent(&self, key: &K) -> bool
fn equivalent(&self, key: &K) -> bool
Compare self to
key
and return true
if they are equal.source§impl<T> FmtForward for T
impl<T> FmtForward for T
source§fn fmt_binary(self) -> FmtBinary<Self>where
Self: Binary,
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Self: Binary,
Causes
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-formatted.source§fn fmt_display(self) -> FmtDisplay<Self>where
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Debug
-formatted.source§fn fmt_lower_exp(self) -> FmtLowerExp<Self>where
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Self: LowerExp,
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Debug
-formatted.source§fn fmt_lower_hex(self) -> FmtLowerHex<Self>where
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Causes
self
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Debug
-formatted.source§fn fmt_octal(self) -> FmtOctal<Self>where
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-formatted.source§fn fmt_pointer(self) -> FmtPointer<Self>where
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-formatted.source§fn fmt_upper_exp(self) -> FmtUpperExp<Self>where
Self: UpperExp,
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Self: UpperExp,
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-formatted.source§fn fmt_upper_hex(self) -> FmtUpperHex<Self>where
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Debug
-formatted.source§impl<T> Instrument for T
impl<T> Instrument for T
source§fn instrument(self, span: Span) -> Instrumented<Self>
fn instrument(self, span: Span) -> Instrumented<Self>
source§fn in_current_span(self) -> Instrumented<Self>
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source§impl<T> Pipe for Twhere
T: ?Sized,
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T: ?Sized,
source§fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> Rwhere
Self: Sized,
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R: 'a,
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Borrows
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&'a mut self,
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