Struct snarkvm_wasm::Fp2[−][src]

pub struct Fp2<P> where
    P: Fp2Parameters,  {
    pub c0: <P as Fp2Parameters>::Fp,
    pub c1: <P as Fp2Parameters>::Fp,
}

Fields

c0: ::Fpc1: ::Fp

Implementations

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impl<P> Fp2<P> where
    P: Fp2Parameters,

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pub fn new(c0: ::Fp, c1: ::Fp) -> Fp2

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pub fn norm(&self) -> ::Fp

Norm of Fp2 over Fp: Norm(a) = a.x^2 - beta * a.y^2

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pub fn mul_by_fp(&mut self, element: &::Fp)

Trait Implementations

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impl<'_, '_, P> Add<&'_ &'_ Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the + operator.

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pub fn add(self, other: &&Fp2) -> Fp2

Performs the + operation. Read more

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impl<'a, P> Add<&'a Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the + operator.

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pub fn add(self, other: &Fp2) -> Fp2

Performs the + operation. Read more

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impl<'a, P> Add<&'a mut Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the + operator.

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pub fn add(self, other: &'a mut Fp2) -> Fp2

Performs the + operation. Read more

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impl<P> Add<Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the + operator.

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pub fn add(self, other: Fp2) -> Fp2

Performs the + operation. Read more

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impl<'_, '_, P> AddAssign<&'_ &'_ Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn add_assign(&mut self, other: &&Fp2)

Performs the += operation. Read more

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impl<'a, P> AddAssign<&'a Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn add_assign(&mut self, other: &Fp2)

Performs the += operation. Read more

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impl<'a, P> AddAssign<&'a mut Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn add_assign(&mut self, other: &'a mut Fp2)

Performs the += operation. Read more

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impl<P> AddAssign<Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn add_assign(&mut self, other: Fp2)

Performs the += operation. Read more

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impl<P, F> AllocGadget<Fp2<P>, F> for Fp2Gadget<P, F> where
    P: Fp2Parameters<Fp = F>,
    F: PrimeField,

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pub fn alloc<Fn, T, CS>(
    cs: CS, 
    value_gen: Fn
) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    Fn: FnOnce() -> Result<T, SynthesisError>,
    CS: ConstraintSystem<F>,
    T: Borrow<Fp2<P>>,

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pub fn alloc_input<Fn, T, CS>(
    cs: CS, 
    value_gen: Fn
) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    Fn: FnOnce() -> Result<T, SynthesisError>,
    CS: ConstraintSystem<F>,
    T: Borrow<Fp2<P>>,

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fn alloc_constant<Fn, T, CS>(_cs: CS, _f: Fn) -> Result<Self, SynthesisError> where
    Fn: FnOnce() -> Result<T, SynthesisError>,
    CS: ConstraintSystem<F>,
    T: Borrow<V>,

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fn alloc_checked<Fn, T, CS>(cs: CS, f: Fn) -> Result<Self, SynthesisError> where
    Fn: FnOnce() -> Result<T, SynthesisError>,
    CS: ConstraintSystem<F>,
    T: Borrow<V>,

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fn alloc_input_checked<Fn, T, CS>(cs: CS, f: Fn) -> Result<Self, SynthesisError> where
    Fn: FnOnce() -> Result<T, SynthesisError>,
    CS: ConstraintSystem<F>,
    T: Borrow<V>,

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impl<P> CanonicalDeserialize for Fp2<P> where
    P: Fp2Parameters,

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pub fn deserialize<R>(reader: &mut R) -> Result<Fp2<P>, SerializationError> where
    R: Read,

Reads Self from reader.

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fn deserialize_uncompressed<R>(
    reader: &mut R
) -> Result<Self, SerializationError> where
    R: Read,

Reads Self from reader without compression.

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impl<P> CanonicalDeserializeWithFlags for Fp2<P> where
    P: Fp2Parameters,

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pub fn deserialize_with_flags<R, F>(
    reader: &mut R
) -> Result<(Fp2<P>, F), SerializationError> where
    R: Read,
    F: Flags,

Reads Self and Flags from reader. Returns empty flags by default. Read more

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impl<P> CanonicalSerialize for Fp2<P> where
    P: Fp2Parameters,

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pub fn serialize<W>(&self, writer: &mut W) -> Result<(), SerializationError> where
    W: Write,

Serializes self into writer.

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pub fn serialized_size(&self) -> usize

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fn serialize_uncompressed<W>(
    &self, 
    writer: &mut W
) -> Result<(), SerializationError> where
    W: Write,

Serializes self into writer without compression.

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fn uncompressed_size(&self) -> usize

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impl<P> CanonicalSerializeWithFlags for Fp2<P> where
    P: Fp2Parameters,

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pub fn serialize_with_flags<W, F>(
    &self, 
    writer: &mut W, 
    flags: F
) -> Result<(), SerializationError> where
    F: Flags,
    W: Write,

Serializes self and flags into writer.

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impl<P> Clone for Fp2<P> where
    P: Fp2Parameters,

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pub fn clone(&self) -> Fp2

Returns a copy of the value. Read more

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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more

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impl<P> ConstantSerializedSize for Fp2<P> where
    P: Fp2Parameters,

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pub const SERIALIZED_SIZE: usize

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pub const UNCOMPRESSED_SIZE: usize

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impl<P> Debug for Fp2<P> where
    P: Fp2Parameters,

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pub fn fmt(&self, __f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter. Read more

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impl<P> Default for Fp2<P> where
    P: Fp2Parameters,

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pub fn default() -> Fp2

Returns the “default value” for a type. Read more

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impl<'de, P> Deserialize<'de> for Fp2<P> where
    P: Fp2Parameters,
    <P as Fp2Parameters>::Fp: Deserialize<'de>,

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pub fn deserialize<__D>(
    __deserializer: __D
) -> Result<Fp2<P>, <__D as Deserializer<'de>>::Error> where
    __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more

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impl<P> Display for Fp2<P> where
    P: Fp2Parameters,

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pub fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter. Read more

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impl<'_, '_, P> Div<&'_ &'_ Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the / operator.

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pub fn div(self, other: &&Fp2) -> Fp2

Performs the / operation. Read more

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impl<'a, P> Div<&'a Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the / operator.

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pub fn div(self, other: &Fp2) -> Fp2

Performs the / operation. Read more

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impl<'a, P> Div<&'a mut Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the / operator.

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pub fn div(self, other: &'a mut Fp2) -> Fp2

Performs the / operation. Read more

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impl<P> Div<Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the / operator.

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pub fn div(self, other: Fp2) -> Fp2

Performs the / operation. Read more

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impl<'_, '_, P> DivAssign<&'_ &'_ Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn div_assign(&mut self, other: &&Fp2)

Performs the /= operation. Read more

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impl<'a, P> DivAssign<&'a Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn div_assign(&mut self, other: &Fp2)

Performs the /= operation. Read more

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impl<'a, P> DivAssign<&'a mut Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn div_assign(&mut self, other: &'a mut Fp2)

Performs the /= operation. Read more

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impl<P> DivAssign<Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn div_assign(&mut self, other: Fp2)

Performs the /= operation. Read more

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impl<P> Field for Fp2<P> where
    P: Fp2Parameters,

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pub fn characteristic<'a>() -> &'a [u64]ⓘNotable traits for &'_ [u8]
impl<'_> Read for &'_ [u8]impl<'_> Write for &'_ mut [u8]

Returns the characteristic of the field.

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pub fn double(&self) -> Fp2

Returns self + self.

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pub fn double_in_place(&mut self)

Doubles self in place.

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pub fn square(&self) -> Fp2

Returns self * self.

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pub fn from_random_bytes_with_flags<F>(bytes: &[u8]) -> Option<(Fp2<P>, F)> where
    F: Flags,

Returns a field element with an extra sign bit used for group parsing if the set of bytes forms a valid field element, otherwise returns None. This function is primarily intended for sampling random field elements from a hash-function or RNG output. Read more

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pub fn from_random_bytes(bytes: &[u8]) -> Option<Fp2>

Returns a field element if the set of bytes forms a valid field element, otherwise returns None. This function is primarily intended for sampling random field elements from a hash-function or RNG output. Read more

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pub fn square_in_place(&mut self) -> &mut Fp2

Squares self in place.

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pub fn inverse(&self) -> Option<Fp2>

Computes the multiplicative inverse of self if self is nonzero.

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pub fn inverse_in_place(&mut self) -> Option<&mut Fp2>

Sets self to self’s inverse if it exists. Otherwise it is a no-op.

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pub fn frobenius_map(&mut self, power: usize)

Exponentiates this element by a power of the base prime modulus via the Frobenius automorphism. Read more

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fn pow<S>(&self, exp: S) -> Self where
    S: AsRef<[u64]>,

Exponentiates this element by a number represented with u64 limbs, least significant limb first. Read more

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impl<P, F> FieldGadget<Fp2<P>, F> for Fp2Gadget<P, F> where
    P: Fp2Parameters<Fp = F>,
    F: PrimeField,

type Variable = (ConstraintVariable<F>, ConstraintVariable<F>)

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pub fn get_value(&self) -> Option<Fp2>

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pub fn get_variable(
    &self
) -> <Fp2Gadget<P, F> as FieldGadget<Fp2<P>, F>>::Variable

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pub fn zero<CS>(cs: CS) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn one<CS>(cs: CS) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn conditionally_add_constant<CS>(
    &self, 
    cs: CS, 
    bit: &Boolean, 
    coeff: Fp2<P>
) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn add<CS>(
    &self, 
    cs: CS, 
    other: &Fp2Gadget<P, F>
) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn sub<CS>(
    &self, 
    cs: CS, 
    other: &Fp2Gadget<P, F>
) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn double<CS>(&self, cs: CS) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn double_in_place<CS>(
    &mut self, 
    cs: CS
) -> Result<&mut Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn negate<CS>(&self, cs: CS) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn negate_in_place<CS>(
    &mut self, 
    cs: CS
) -> Result<&mut Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn mul<CS>(
    &self, 
    cs: CS, 
    other: &Fp2Gadget<P, F>
) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn square<CS>(&self, cs: CS) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn square_in_place<CS>(
    &mut self, 
    cs: CS
) -> Result<&mut Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn inverse<CS>(&self, cs: CS) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn mul_equals<CS>(
    &self, 
    cs: CS, 
    other: &Fp2Gadget<P, F>, 
    result: &Fp2Gadget<P, F>
) -> Result<(), SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn frobenius_map<CS>(
    &self, 
    cs: CS, 
    power: usize
) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn frobenius_map_in_place<CS>(
    &mut self, 
    cs: CS, 
    power: usize
) -> Result<&mut Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn add_constant<CS>(
    &self, 
    cs: CS, 
    other: &Fp2<P>
) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn add_constant_in_place<CS>(
    &mut self, 
    cs: CS, 
    other: &Fp2<P>
) -> Result<&mut Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn mul_by_constant<CS>(
    &self, 
    cs: CS, 
    fe: &Fp2<P>
) -> Result<Fp2Gadget<P, F>, SynthesisError> where
    CS: ConstraintSystem<F>,

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pub fn cost_of_mul() -> usize

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pub fn cost_of_inv() -> usize

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fn add_in_place<CS>(
    &mut self, 
    cs: CS, 
    other: &Self
) -> Result<&mut Self, SynthesisError> where
    CS: ConstraintSystem<F>,

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fn sub_in_place<CS>(
    &mut self, 
    cs: CS, 
    other: &Self
) -> Result<&mut Self, SynthesisError> where
    CS: ConstraintSystem<F>,

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fn mul_in_place<CS>(
    &mut self, 
    cs: CS, 
    other: &Self
) -> Result<&mut Self, SynthesisError> where
    CS: ConstraintSystem<F>,

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fn square_equals<CS>(&self, cs: CS, result: &Self) -> Result<(), SynthesisError> where
    CS: ConstraintSystem<F>,

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fn sub_constant<CS>(&self, cs: CS, fe: &NativeF) -> Result<Self, SynthesisError> where
    CS: ConstraintSystem<F>,

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fn sub_constant_in_place<CS>(
    &mut self, 
    cs: CS, 
    other: &NativeF
) -> Result<&mut Self, SynthesisError> where
    CS: ConstraintSystem<F>,

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fn mul_by_constant_in_place<CS>(
    &mut self, 
    cs: CS, 
    other: &NativeF
) -> Result<&mut Self, SynthesisError> where
    CS: ConstraintSystem<F>,

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fn pow<CS>(&self, cs: CS, bits: &[Boolean]) -> Result<Self, SynthesisError> where
    CS: ConstraintSystem<F>,

Accepts as input a list of bits which, when interpreted in big-endian form, are a scalar. Read more

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fn pow_by_constant<CS, S>(&self, cs: CS, exp: S) -> Result<Self, SynthesisError> where
    CS: ConstraintSystem<F>,
    S: AsRef<[u64]>,

Computes self^S, where S is interpreted as an little-endian u64-decomposition of an integer. Read more

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impl<P> From<u128> for Fp2<P> where
    P: Fp2Parameters,

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pub fn from(other: u128) -> Fp2

Performs the conversion.

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impl<P> From<u16> for Fp2<P> where
    P: Fp2Parameters,

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pub fn from(other: u16) -> Fp2

Performs the conversion.

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impl<P> From<u32> for Fp2<P> where
    P: Fp2Parameters,

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pub fn from(other: u32) -> Fp2

Performs the conversion.

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impl<P> From<u64> for Fp2<P> where
    P: Fp2Parameters,

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pub fn from(other: u64) -> Fp2

Performs the conversion.

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impl<P> From<u8> for Fp2<P> where
    P: Fp2Parameters,

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pub fn from(other: u8) -> Fp2

Performs the conversion.

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impl<P> FromBytes for Fp2<P> where
    P: Fp2Parameters,

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pub fn read<R>(reader: R) -> Result<Fp2<P>, Error> where
    R: Read,

Reads Self from reader.

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impl<P> Hash for Fp2<P> where
    P: Fp2Parameters,

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pub fn hash<__HP>(&self, __state: &mut __HP) where
    __HP: Hasher,

Feeds this value into the given Hasher. Read more

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fn hash_slice<H>(data: &[Self], state: &mut H) where
    H: Hasher,

Feeds a slice of this type into the given Hasher. Read more

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impl<'_, '_, P> Mul<&'_ &'_ Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the * operator.

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pub fn mul(self, other: &&Fp2) -> Fp2

Performs the * operation. Read more

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impl<'a, P> Mul<&'a Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the * operator.

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pub fn mul(self, other: &Fp2) -> Fp2

Performs the * operation. Read more

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impl<'a, P> Mul<&'a mut Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the * operator.

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pub fn mul(self, other: &'a mut Fp2) -> Fp2

Performs the * operation. Read more

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impl<P> Mul<Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the * operator.

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pub fn mul(self, other: Fp2) -> Fp2

Performs the * operation. Read more

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impl<'_, '_, P> MulAssign<&'_ &'_ Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn mul_assign(&mut self, other: &&Fp2)

Performs the *= operation. Read more

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impl<'a, P> MulAssign<&'a Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn mul_assign(&mut self, other: &Fp2)

Performs the *= operation. Read more

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impl<'a, P> MulAssign<&'a mut Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn mul_assign(&mut self, other: &'a mut Fp2)

Performs the *= operation. Read more

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impl<P> MulAssign<Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn mul_assign(&mut self, other: Fp2)

Performs the *= operation. Read more

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impl<P> Neg for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the - operator.

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pub fn neg(self) -> Fp2

Performs the unary - operation. Read more

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impl<P> One for Fp2<P> where
    P: Fp2Parameters,

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pub fn one() -> Fp2

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pub fn is_one(&self) -> bool

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impl<P> Ord for Fp2<P> where
    P: Fp2Parameters,

Fp2 elements are ordered lexicographically.

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pub fn cmp(&self, other: &Fp2) -> Ordering

This method returns an Ordering between self and other. Read more

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fn max(self, other: Self) -> Self

Compares and returns the maximum of two values. Read more

1.21.0[src]

fn min(self, other: Self) -> Self

Compares and returns the minimum of two values. Read more

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fn clamp(self, min: Self, max: Self) -> Self

Restrict a value to a certain interval. Read more

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impl<P> PartialEq<Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn eq(&self, other: &Fp2) -> bool

This method tests for self and other values to be equal, and is used by ==. Read more

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fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

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impl<P> PartialOrd<Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn partial_cmp(&self, other: &Fp2) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more

1.0.0[src]

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator. Read more

1.0.0[src]

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 more

1.0.0[src]

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator. Read more

1.0.0[src]

fn ge(&self, other: &Rhs) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

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impl<'a, P> Product<&'a Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn product<I>(iter: I) -> Fp2<P> where
    I: Iterator<Item = &'a Fp2<P>>,

Method which takes an iterator and generates Self from the elements by multiplying the items. Read more

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impl<P> Product<Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn product<I>(iter: I) -> Fp2<P> where
    I: Iterator<Item = Fp2<P>>,

Method which takes an iterator and generates Self from the elements by multiplying the items. Read more

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impl<P> Serialize for Fp2<P> where
    P: Fp2Parameters,
    <P as Fp2Parameters>::Fp: Serialize,

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pub fn serialize<__S>(
    &self, 
    __serializer: __S
) -> Result<<__S as Serializer>::Ok, <__S as Serializer>::Error> where
    __S: Serializer,

Serialize this value into the given Serde serializer. Read more

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impl<'a, P> SquareRootField for Fp2<P> where
    P: Fp2Parameters,
    <P as Fp2Parameters>::Fp: SquareRootField,

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pub fn legendre(&self) -> LegendreSymbol

Returns the Legendre symbol.

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pub fn sqrt(&self) -> Option<Fp2>

Returns the square root of self, if it exists.

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pub fn sqrt_in_place(&mut self) -> Option<&mut Fp2>

Sets self to be the square root of self, if it exists.

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impl<'_, '_, P> Sub<&'_ &'_ Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the - operator.

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pub fn sub(self, other: &&Fp2) -> Fp2

Performs the - operation. Read more

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impl<'a, P> Sub<&'a Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the - operator.

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pub fn sub(self, other: &Fp2) -> Fp2

Performs the - operation. Read more

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impl<'a, P> Sub<&'a mut Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the - operator.

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pub fn sub(self, other: &'a mut Fp2) -> Fp2

Performs the - operation. Read more

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impl<P> Sub<Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

type Output = Fp2

The resulting type after applying the - operator.

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pub fn sub(self, other: Fp2) -> Fp2

Performs the - operation. Read more

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impl<'_, '_, P> SubAssign<&'_ &'_ Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn sub_assign(&mut self, other: &&Fp2)

Performs the -= operation. Read more

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impl<'a, P> SubAssign<&'a Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn sub_assign(&mut self, other: &Fp2)

Performs the -= operation. Read more

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impl<'a, P> SubAssign<&'a mut Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn sub_assign(&mut self, other: &'a mut Fp2)

Performs the -= operation. Read more

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impl<P> SubAssign<Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn sub_assign(&mut self, other: Fp2)

Performs the -= operation. Read more

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impl<'a, P> Sum<&'a Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn sum<I>(iter: I) -> Fp2<P> where
    I: Iterator<Item = &'a Fp2<P>>,

Method which takes an iterator and generates Self from the elements by “summing up” the items. Read more

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impl<P> Sum<Fp2<P>> for Fp2<P> where
    P: Fp2Parameters,

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pub fn sum<I>(iter: I) -> Fp2<P> where
    I: Iterator<Item = Fp2<P>>,

Method which takes an iterator and generates Self from the elements by “summing up” the items. Read more

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impl<P> ToBytes for Fp2<P> where
    P: Fp2Parameters,

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pub fn write<W>(&self, writer: W) -> Result<(), Error> where
    W: Write,

Serializes self into writer.

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impl<P> ToConstraintField<<P as Fp2Parameters>::Fp> for Fp2<P> where
    P: Fp2Parameters,

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pub fn to_field_elements(
    &self
) -> Result<Vec<<P as Fp2Parameters>::Fp, Global>, ConstraintFieldError>

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impl<P> Zero for Fp2<P> where
    P: Fp2Parameters,

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pub fn zero() -> Fp2

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pub fn is_zero(&self) -> bool

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impl<P> Copy for Fp2<P> where
    P: Fp2Parameters,

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impl<P> Eq for Fp2<P> where
    P: Fp2Parameters,

Auto Trait Implementations

impl<P> RefUnwindSafe for Fp2<P> where
    <P as Fp2Parameters>::Fp: RefUnwindSafe,

impl Send for Fp2

impl Sync for Fp2

impl<P> Unpin for Fp2<P> where
    <P as Fp2Parameters>::Fp: Unpin,

impl<P> UnwindSafe for Fp2<P> where
    <P as Fp2Parameters>::Fp: UnwindSafe,

Blanket Implementations

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impl<T> Any for T where
    T: 'static + ?Sized,

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pub fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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impl<T> Borrow<T> for T where
    T: ?Sized,

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pub fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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impl<T> BorrowMut<T> for T where
    T: ?Sized,

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pub fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

impl<T> CallHasher for T where
    T: Hash + ?Sized,

pub default fn get_hash<H, B>(value: &H, build_hasher: &B) -> u64 where
    B: BuildHasher,
    H: Hash + ?Sized,

impl<T> Conv for T

fn conv<T>(self) -> T where
    Self: Into<T>,

Converts self into T using Into<T>. Read more

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impl<Q, K> Equivalent<K> for Q where
    K: Borrow<Q> + ?Sized,
    Q: Eq + ?Sized,

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pub fn equivalent(&self, key: &K) -> bool

Compare self to key and return true if they are equal.

impl<T> FmtForward for T

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,

Causes self to use its Display implementation when Debug-formatted. Read more

fn fmt_lower_exp(self) -> FmtLowerExp<Self> where
    Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted. Read more

fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
    Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted. Read more

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,

Causes self to use its Pointer implementation when Debug-formatted. Read more

fn fmt_upper_exp(self) -> FmtUpperExp<Self> where
    Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted. Read more

fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
    Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted. Read more

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impl<T> From<T> for T

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pub fn from(t: T) -> T

Performs the conversion.

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impl<T, U> Into<U> for T where
    U: From<T>,

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pub fn into(self) -> U

Performs the conversion.

impl<T> Pipe for T where
    T: ?Sized,

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) -> R where
    R: 'a,

Borrows self and passes that borrow into the pipe function. Read more

fn pipe_ref_mut<'a, R>(&'a mut self, func: impl FnOnce(&'a mut Self) -> R) -> R where
    R: 'a,

Mutably borrows self and passes that borrow into the pipe function. Read more

fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R where
    Self: Borrow<B>,
    B: 'a + ?Sized,
    R: 'a,

Borrows self, then passes self.borrow() into the pipe function. Read more

fn pipe_borrow_mut<'a, B, R>(
    &'a mut self, 
    func: impl FnOnce(&'a mut B) -> R
) -> R where
    Self: BorrowMut<B>,
    B: 'a + ?Sized,
    R: 'a,

Mutably borrows self, then passes self.borrow_mut() into the pipe function. Read more

fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R where
    Self: AsRef<U>,
    R: 'a,
    U: 'a + ?Sized,

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) -> R where
    Self: AsMut<U>,
    R: 'a,
    U: 'a + ?Sized,

Mutably borrows self, then passes self.as_mut() into the pipe function. Read more

fn pipe_deref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R where
    Self: Deref<Target = T>,
    T: 'a + ?Sized,
    R: 'a,

Borrows self, then passes self.deref() into the pipe function.

fn pipe_deref_mut<'a, T, R>(
    &'a mut self, 
    func: impl FnOnce(&'a mut T) -> R
) -> R where
    Self: DerefMut<Target = T> + Deref,
    T: 'a + ?Sized,
    R: 'a,

Mutably borrows self, then passes self.deref_mut() into the pipe function. Read more

impl<T> Pointable for T

pub const ALIGN: usize

The alignment of pointer.

type Init = T

The type for initializers.

pub unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

pub unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more

pub unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more

pub unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more

impl<T> Same<T> for T

type Output = T

Should always be Self

impl<T> Tap for T

fn tap(self, func: impl FnOnce(&Self)) -> Self

Immutable access to a value. Read more

fn tap_mut(self, func: impl FnOnce(&mut Self)) -> Self

Mutable access to a value. Read more

fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self where
    Self: Borrow<B>,
    B: ?Sized,

Immutable access to the Borrow of a value. Read more

fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self where
    Self: BorrowMut<B>,
    B: ?Sized,

Mutable access to the BorrowMut of a value. Read more

fn tap_ref<R>(self, func: impl FnOnce(&R)) -> Self where
    Self: AsRef<R>,
    R: ?Sized,

Immutable access to the AsRef<R> view of a value. Read more

fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self where
    Self: AsMut<R>,
    R: ?Sized,

Mutable access to the AsMut<R> view of a value. Read more

fn tap_deref<T>(self, func: impl FnOnce(&T)) -> Self where
    Self: Deref<Target = T>,
    T: ?Sized,

Immutable access to the Deref::Target of a value. Read more

fn tap_deref_mut<T>(self, func: impl FnOnce(&mut T)) -> Self where
    Self: DerefMut<Target = T> + Deref,
    T: ?Sized,

Mutable access to the Deref::Target of a value. Read more

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

Calls .tap_mut() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Self where
    Self: Borrow<B>,
    B: ?Sized,

Calls .tap_borrow() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Self where
    Self: BorrowMut<B>,
    B: ?Sized,

Calls .tap_borrow_mut() only in debug builds, and is erased in release builds. Read more

fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Self where
    Self: AsRef<R>,
    R: ?Sized,

Calls .tap_ref() only in debug builds, and is erased in release builds. Read more

fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Self where
    Self: AsMut<R>,
    R: ?Sized,

Calls .tap_ref_mut() only in debug builds, and is erased in release builds. Read more

fn tap_deref_dbg<T>(self, func: impl FnOnce(&T)) -> Self where
    Self: Deref<Target = T>,
    T: ?Sized,

Calls .tap_deref() only in debug builds, and is erased in release builds. Read more

fn tap_deref_mut_dbg<T>(self, func: impl FnOnce(&mut T)) -> Self where
    Self: DerefMut<Target = T> + Deref,
    T: ?Sized,

Calls .tap_deref_mut() only in debug builds, and is erased in release builds. Read more

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impl<T> ToOwned for T where
    T: Clone,

type Owned = T

The resulting type after obtaining ownership.

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pub fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

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pub fn clone_into(&self, target: &mut T)

🔬 This is a nightly-only experimental API. (toowned_clone_into)

recently added

Uses borrowed data to replace owned data, usually by cloning. Read more

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impl<T> ToString for T where
    T: Display + ?Sized,

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pub default fn to_string(&self) -> String

Converts the given value to a String. Read more

impl<T> TryConv for T

fn try_conv<T>(self) -> Result<T, Self::Error> where
    Self: TryInto<T>,

Attempts to convert self into T using TryInto<T>. Read more

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impl<T, U> TryFrom<U> for T where
    U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

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pub fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

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impl<T, U> TryInto<U> for T where
    U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

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pub fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

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impl<T> UniformRand for T where
    Standard: Distribution<T>,

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pub fn rand<R>(rng: &mut R) -> T where
    R: Rng + ?Sized,

impl<V, T> VZip<V> for T where
    V: MultiLane<T>,

pub fn vzip(self) -> V

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impl<T> DeserializeOwned for T where
    T: for<'de> Deserialize<'de>,

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impl<T, F> DomainCoeff<F> for T where
    T: Copy + Send + Sync + Zero + AddAssign<T> + SubAssign<T> + MulAssign<F>,
    F: FftField,