Struct p3_frontend::FWrap

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pub struct FWrap<F: Field>(pub F);

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Trait Implementations§

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impl<F: PrimeField + Hash> AbstractField for FWrap<F>

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type F = FWrap<F>

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fn zero() -> Self

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fn one() -> Self

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fn two() -> Self

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fn neg_one() -> Self

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fn from_f(f: Self::F) -> Self

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fn from_bool(b: bool) -> Self

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fn from_canonical_u8(n: u8) -> Self

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fn from_canonical_u16(n: u16) -> Self

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fn from_canonical_u32(n: u32) -> Self

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fn from_canonical_u64(n: u64) -> Self

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fn from_canonical_usize(n: usize) -> Self

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fn from_wrapped_u32(n: u32) -> Self

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fn from_wrapped_u64(n: u64) -> Self

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fn generator() -> Self

A generator of this field’s entire multiplicative group.
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fn double(&self) -> Self

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fn square(&self) -> Self

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fn cube(&self) -> Self

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fn exp_u64(&self, power: u64) -> Self

Exponentiation by a u64 power. Read more
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fn exp_const_u64<const POWER: u64>(&self) -> Self

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fn exp_power_of_2(&self, power_log: usize) -> Self

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fn powers(&self) -> Powers<Self>

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fn shifted_powers(&self, start: Self) -> Powers<Self>

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fn powers_packed<P>(&self) -> PackedPowers<Self, P>
where P: PackedField<Scalar = Self>,

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fn shifted_powers_packed<P>(&self, start: Self) -> PackedPowers<Self, P>
where P: PackedField<Scalar = Self>,

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fn dot_product<const N: usize>(u: &[Self; N], v: &[Self; N]) -> Self

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fn try_div<Rhs>(self, rhs: Rhs) -> Option<Self::Output>
where Rhs: Field, Self: Mul<Rhs>,

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impl<F: Field> Add for FWrap<F>

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type Output = FWrap<F>

The resulting type after applying the + operator.
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fn add(self, rhs: Self) -> Self

Performs the + operation. Read more
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impl<F: Field> AddAssign for FWrap<F>

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fn add_assign(&mut self, rhs: Self)

Performs the += operation. Read more
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impl<F: Clone + Field> Clone for FWrap<F>

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fn clone(&self) -> FWrap<F>

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<F: Debug + Field> Debug for FWrap<F>

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

Formats the value using the given formatter. Read more
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impl<F: Default + Field> Default for FWrap<F>

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fn default() -> FWrap<F>

Returns the “default value” for a type. Read more
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impl<'de, F: PrimeField> Deserialize<'de> for FWrap<F>

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fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl<F: Field> Display for FWrap<F>

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

Formats the value using the given formatter. Read more
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impl<F: Field> Div for FWrap<F>

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type Output = FWrap<F>

The resulting type after applying the / operator.
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fn div(self, rhs: Self) -> Self

Performs the / operation. Read more
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impl<F: PrimeField + Hash> Field for FWrap<F>

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type Packing = FWrap<F>

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fn is_zero(&self) -> bool

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fn try_inverse(&self) -> Option<Self>

The multiplicative inverse of this field element, if it exists. Read more
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fn order() -> BigUint

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fn is_one(&self) -> bool

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fn mul_2exp_u64(&self, exp: u64) -> Self

self * 2^exp
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fn div_2exp_u64(&self, exp: u64) -> Self

self / 2^exp
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fn exp_u64_generic<AF>(val: AF, power: u64) -> AF
where AF: AbstractField<F = Self>,

Exponentiation by a u64 power. This is similar to exp_u64, but more general in that it can be used with AbstractFields, not just this concrete field. Read more
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fn inverse(&self) -> Self

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fn halve(&self) -> Self

Computes input/2. Should be overwritten by most field implementations to use bitshifts. Will error if the field characteristic is 2.
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fn bits() -> usize

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impl<F: Hash + Field> Hash for FWrap<F>

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fn hash<__H: Hasher>(&self, state: &mut __H)

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, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl<F: Field> Mul for FWrap<F>

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type Output = FWrap<F>

The resulting type after applying the * operator.
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fn mul(self, rhs: Self) -> Self

Performs the * operation. Read more
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impl<F: Field> MulAssign for FWrap<F>

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fn mul_assign(&mut self, rhs: Self)

Performs the *= operation. Read more
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impl<F: Field> Neg for FWrap<F>

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type Output = FWrap<F>

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl<F: Ord + Field> Ord for FWrap<F>

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fn cmp(&self, other: &FWrap<F>) -> Ordering

This method returns an Ordering between self and other. Read more
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fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values. Read more
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fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values. Read more
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fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized + PartialOrd,

Restrict a value to a certain interval. Read more
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impl<F: PartialEq + Field> PartialEq for FWrap<F>

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fn eq(&self, other: &FWrap<F>) -> bool

This method tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<F: PartialOrd + Field> PartialOrd for FWrap<F>

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fn partial_cmp(&self, other: &FWrap<F>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more
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fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator. Read more
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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
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fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator. Read more
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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<F: PrimeField + Hash + Ord> PrimeField for FWrap<F>

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impl<F: PrimeField + Hash + Ord> PrimeField64 for FWrap<F>

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const ORDER_U64: u64 = 0u64

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fn as_canonical_u64(&self) -> u64

Return the representative of value that is less than ORDER_U64.
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impl<F: Field> Product for FWrap<F>

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fn product<I: Iterator<Item = Self>>(iter: I) -> Self

Method which takes an iterator and generates Self from the elements by multiplying the items.
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impl<F: PrimeField> Serialize for FWrap<F>

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fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>
where S: Serializer,

Serialize this value into the given Serde serializer. Read more
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impl<F: Field> Sub for FWrap<F>

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type Output = FWrap<F>

The resulting type after applying the - operator.
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fn sub(self, rhs: Self) -> Self

Performs the - operation. Read more
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impl<F: Field> SubAssign for FWrap<F>

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fn sub_assign(&mut self, rhs: Self)

Performs the -= operation. Read more
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impl<F: Field> Sum for FWrap<F>

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fn sum<I: Iterator<Item = Self>>(iter: I) -> Self

Method which takes an iterator and generates Self from the elements by “summing up” the items.
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impl<F: Copy + Field> Copy for FWrap<F>

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impl<F: Eq + Field> Eq for FWrap<F>

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impl<F: Field> Packable for FWrap<F>

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impl<F: Field> Send for FWrap<F>

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impl<F: Field> StructuralPartialEq for FWrap<F>

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impl<F: Field> Sync for FWrap<F>

Auto Trait Implementations§

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impl<F> Freeze for FWrap<F>
where F: Freeze,

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impl<F> RefUnwindSafe for FWrap<F>
where F: RefUnwindSafe,

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impl<F> Unpin for FWrap<F>
where F: Unpin,

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impl<F> UnwindSafe for FWrap<F>
where F: UnwindSafe,

Blanket Implementations§

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impl<AF> AbstractExtensionField<AF> for AF
where AF: AbstractField,

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const D: usize = 1usize

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fn from_base(b: AF) -> AF

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fn from_base_slice(bs: &[AF]) -> AF

Suppose this field extension is represented by the quotient ring B[X]/(f(X)) where B is Base and f is an irreducible polynomial of degree D. This function takes a slice bs of length at most D, and constructs the field element \sum_i bs[i] * X^i. Read more
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fn from_base_fn<F>(f: F) -> AF
where F: FnMut(usize) -> AF,

Similar to core:array::from_fn, with the same caveats as from_base_slice.
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fn as_base_slice(&self) -> &[AF]

Suppose this field extension is represented by the quotient ring B[X]/(f(X)) where B is Base and f is an irreducible polynomial of degree D. This function takes a field element \sum_i bs[i] * X^i and returns the coefficients as a slice bs of length at most D containing, from lowest degree to highest. Read more
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fn monomial(exponent: usize) -> Self

Returns the monomial X^exponent.
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impl<T> Any for T
where T: 'static + ?Sized,

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

Mutably borrows from an owned value. Read more
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impl<T> Conv for T

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

Converts self into T using Into<T>. Read more
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impl<F> ExtensionField<F> for F
where F: Field,

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type ExtensionPacking = <F as Field>::Packing

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fn is_in_basefield(&self) -> bool

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fn as_base(&self) -> Option<Base>

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impl<T> FmtForward for T

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fn fmt_binary(self) -> FmtBinary<Self>
where Self: Binary,

Causes self to use its Binary implementation when Debug-formatted.
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fn fmt_display(self) -> FmtDisplay<Self>
where Self: Display,

Causes self to use its Display implementation when Debug-formatted.
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fn fmt_lower_exp(self) -> FmtLowerExp<Self>
where Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted.
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fn fmt_lower_hex(self) -> FmtLowerHex<Self>
where Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted.
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fn fmt_octal(self) -> FmtOctal<Self>
where Self: Octal,

Causes self to use its Octal implementation when Debug-formatted.
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fn fmt_pointer(self) -> FmtPointer<Self>
where Self: Pointer,

Causes self to use its Pointer implementation when Debug-formatted.
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fn fmt_upper_exp(self) -> FmtUpperExp<Self>
where Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted.
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fn fmt_upper_hex(self) -> FmtUpperHex<Self>
where Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted.
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fn fmt_list(self) -> FmtList<Self>
where &'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T> Instrument for T

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fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided [Span], returning an Instrumented wrapper. Read more
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fn in_current_span(self) -> Instrumented<Self>

Instruments this type with the current Span, returning an Instrumented wrapper. Read more
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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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impl<F> PackedField for F
where F: Field,

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type Scalar = F

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fn interleave(&self, other: F, block_len: usize) -> (F, F)

Take interpret two vectors as chunks of block_len elements. Unpack and interleave those chunks. This is best seen with an example. If we have: Read more
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impl<T> PackedValue for T
where T: Packable,

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type Value = T

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const WIDTH: usize = 1usize

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fn from_slice(slice: &[<T as PackedValue>::Value]) -> &T

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fn from_slice_mut(slice: &mut [<T as PackedValue>::Value]) -> &mut T

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fn from_fn<Fn>(f: Fn) -> T
where Fn: FnMut(usize) -> <T as PackedValue>::Value,

Similar to core:array::from_fn.
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fn as_slice(&self) -> &[<T as PackedValue>::Value]

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fn as_slice_mut(&mut self) -> &mut [<T as PackedValue>::Value]

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fn pack_slice(buf: &[Self::Value]) -> &[Self]

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fn pack_slice_with_suffix(buf: &[Self::Value]) -> (&[Self], &[Self::Value])

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fn pack_slice_mut(buf: &mut [Self::Value]) -> &mut [Self]

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fn pack_slice_with_suffix_mut( buf: &mut [Self::Value] ) -> (&mut [Self], &mut [Self::Value])

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fn unpack_slice(buf: &[Self]) -> &[Self::Value]

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

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fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> R
where Self: Sized,

Pipes by value. This is generally the method you want to use. Read more
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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
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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
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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
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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
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fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R
where Self: AsRef<U>, U: 'a + ?Sized, R: 'a,

Borrows self, then passes self.as_ref() into the pipe function.
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fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R
where Self: AsMut<U>, U: 'a + ?Sized, R: 'a,

Mutably borrows self, then passes self.as_mut() into the pipe function.
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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.
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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.
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impl<T> Pointable for T

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const ALIGN: usize = _

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T> Same for T

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type Output = T

Should always be Self
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impl<T> Tap for T

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

Immutable access to a value. Read more
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fn tap_mut(self, func: impl FnOnce(&mut Self)) -> Self

Mutable access to a value. Read more
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fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self
where Self: Borrow<B>, B: ?Sized,

Immutable access to the Borrow<B> of a value. Read more
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fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self
where Self: BorrowMut<B>, B: ?Sized,

Mutable access to the BorrowMut<B> of a value. Read more
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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
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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
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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
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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
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fn tap_dbg(self, func: impl FnOnce(&Self)) -> Self

Calls .tap() only in debug builds, and is erased in release builds.
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fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self

Calls .tap_mut() only in debug builds, and is erased in release builds.
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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.
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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.
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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.
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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.
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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.
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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.
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

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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default fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T> TryConv for T

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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>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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impl<T> WithSubscriber for T

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fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>
where S: Into<Dispatch>,

Attaches the provided Subscriber to this type, returning a [WithDispatch] wrapper. Read more
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fn with_current_subscriber(self) -> WithDispatch<Self>

Attaches the current default Subscriber to this type, returning a [WithDispatch] wrapper. Read more
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impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,

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impl<T, Rhs, Output> GroupOps<Rhs, Output> for T
where T: Add<Rhs, Output = Output> + Sub<Rhs, Output = Output> + AddAssign<Rhs> + SubAssign<Rhs>,

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impl<T, Rhs, Output> ScalarMul<Rhs, Output> for T
where T: Mul<Rhs, Output = Output> + MulAssign<Rhs>,