Struct blstrs::Fp12

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pub struct Fp12(/* private fields */);
Expand description

This represents an element $c_0 + c_1 w$ of $\mathbb{F}{p^12} = \mathbb{F}{p^6} / w^2 - v$.

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impl Fp12

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pub const fn new(c0: Fp6, c1: Fp6) -> Fp12

Constructs an element of Fp12.

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

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pub fn c0(&self) -> Fp6

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pub fn c1(&self) -> Fp6

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pub fn conjugate(&mut self)

Trait Implementations§

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impl Add<&Fp12> for &Fp12

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type Output = Fp12

The resulting type after applying the + operator.
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fn add(self, rhs: &Fp12) -> Fp12

Performs the + operation. Read more
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impl Add<&Fp12> for Fp12

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type Output = Fp12

The resulting type after applying the + operator.
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fn add(self, rhs: &Fp12) -> Fp12

Performs the + operation. Read more
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impl Add<Fp12> for &Fp12

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type Output = Fp12

The resulting type after applying the + operator.
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fn add(self, rhs: Fp12) -> Fp12

Performs the + operation. Read more
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impl Add for Fp12

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type Output = Fp12

The resulting type after applying the + operator.
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fn add(self, rhs: Fp12) -> Fp12

Performs the + operation. Read more
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impl AddAssign<&Fp12> for Fp12

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fn add_assign(&mut self, rhs: &Fp12)

Performs the += operation. Read more
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impl AddAssign for Fp12

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fn add_assign(&mut self, rhs: Fp12)

Performs the += operation. Read more
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impl Clone for Fp12

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fn clone(&self) -> Fp12

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 ConditionallySelectable for Fp12

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fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self

Select a or b according to choice. Read more
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fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice. Read more
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fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves. Read more
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impl ConstantTimeEq for Fp12

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fn ct_eq(&self, other: &Self) -> Choice

Determine if two items are equal. Read more
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fn ct_ne(&self, other: &Self) -> Choice

Determine if two items are NOT equal. Read more
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impl Debug for Fp12

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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 Default for Fp12

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fn default() -> Self

Returns the “default value” for a type. Read more
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impl<'de> Deserialize<'de> for Fp12

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

Deserialize this value from the given Serde deserializer. Read more
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impl Display for Fp12

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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 Field for Fp12

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fn random(rng: impl RngCore) -> Self

Returns an element chosen uniformly at random using a user-provided RNG.
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const ZERO: Self = _

The zero element of the field, the additive identity.
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const ONE: Self = _

The one element of the field, the multiplicative identity.
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fn is_zero(&self) -> Choice

Returns true iff this element is zero.
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fn double(&self) -> Self

Doubles this element.
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fn square(&self) -> Self

Squares this element.
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fn invert(&self) -> CtOption<Self>

Computes the multiplicative inverse of this element, failing if the element is zero.
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fn sqrt(&self) -> CtOption<Self>

Returns the square root of the field element, if it is quadratic residue. Read more
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fn sqrt_ratio(_num: &Self, _div: &Self) -> (Choice, Self)

Computes: Read more
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fn is_zero_vartime(&self) -> bool

Returns true iff this element is zero. Read more
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fn cube(&self) -> Self

Cubes this element.
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fn sqrt_alt(&self) -> (Choice, Self)

Equivalent to Self::sqrt_ratio(self, one()). Read more
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fn pow<S>(&self, exp: S) -> Self
where S: AsRef<[u64]>,

Exponentiates self by exp, where exp is a little-endian order integer exponent. Read more
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fn pow_vartime<S>(&self, exp: S) -> Self
where S: AsRef<[u64]>,

Exponentiates self by exp, where exp is a little-endian order integer exponent. Read more
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impl From<Fp> for Fp12

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fn from(f: Fp) -> Fp12

Converts to this type from the input type.
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impl From<Fp12> for Gt

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fn from(fp12: Fp12) -> Self

Converts to this type from the input type.
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impl From<Fp12> for blst_fp12

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fn from(val: Fp12) -> blst_fp12

Converts to this type from the input type.
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impl From<Fp2> for Fp12

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fn from(f: Fp2) -> Fp12

Converts to this type from the input type.
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impl From<Gt> for Fp12

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fn from(gt: Gt) -> Self

Converts to this type from the input type.
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impl From<blst_fp12> for Fp12

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fn from(val: blst_fp12) -> Fp12

Converts to this type from the input type.
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impl GpuName for Fp12

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fn name() -> String

A unique name for the item. Read more
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impl Mul<&Fp12> for &Fp12

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type Output = Fp12

The resulting type after applying the * operator.
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fn mul(self, rhs: &Fp12) -> Fp12

Performs the * operation. Read more
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impl Mul<&Fp12> for Fp12

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type Output = Fp12

The resulting type after applying the * operator.
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fn mul(self, rhs: &Fp12) -> Fp12

Performs the * operation. Read more
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impl Mul<Fp12> for &Fp12

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type Output = Fp12

The resulting type after applying the * operator.
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fn mul(self, rhs: Fp12) -> Fp12

Performs the * operation. Read more
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impl Mul for Fp12

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type Output = Fp12

The resulting type after applying the * operator.
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fn mul(self, rhs: Fp12) -> Fp12

Performs the * operation. Read more
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impl MulAssign<&Fp12> for Fp12

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fn mul_assign(&mut self, rhs: &Fp12)

Performs the *= operation. Read more
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impl MulAssign for Fp12

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fn mul_assign(&mut self, rhs: Fp12)

Performs the *= operation. Read more
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impl Neg for &Fp12

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type Output = Fp12

The resulting type after applying the - operator.
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fn neg(self) -> Fp12

Performs the unary - operation. Read more
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impl Neg for Fp12

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type Output = Fp12

The resulting type after applying the - operator.
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fn neg(self) -> Fp12

Performs the unary - operation. Read more
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impl PartialEq for Fp12

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fn eq(&self, other: &Fp12) -> 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<'a> Product<&'a Fp12> for Fp12

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fn product<I: Iterator<Item = &'a Fp12>>(iter: I) -> Fp12

Method which takes an iterator and generates Self from the elements by multiplying the items.
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impl Product for Fp12

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fn product<I: Iterator<Item = Fp12>>(iter: I) -> Fp12

Method which takes an iterator and generates Self from the elements by multiplying the items.
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impl Serialize for Fp12

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

Serialize this value into the given Serde serializer. Read more
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impl Sub<&Fp12> for &Fp12

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type Output = Fp12

The resulting type after applying the - operator.
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fn sub(self, rhs: &Fp12) -> Fp12

Performs the - operation. Read more
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impl Sub<&Fp12> for Fp12

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type Output = Fp12

The resulting type after applying the - operator.
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fn sub(self, rhs: &Fp12) -> Fp12

Performs the - operation. Read more
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impl Sub<Fp12> for &Fp12

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type Output = Fp12

The resulting type after applying the - operator.
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fn sub(self, rhs: Fp12) -> Fp12

Performs the - operation. Read more
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impl Sub for Fp12

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type Output = Fp12

The resulting type after applying the - operator.
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fn sub(self, rhs: Fp12) -> Fp12

Performs the - operation. Read more
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impl SubAssign<&Fp12> for Fp12

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fn sub_assign(&mut self, rhs: &Fp12)

Performs the -= operation. Read more
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impl SubAssign for Fp12

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fn sub_assign(&mut self, rhs: Fp12)

Performs the -= operation. Read more
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impl<'a> Sum<&'a Fp12> for Fp12

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fn sum<I: Iterator<Item = &'a Fp12>>(iter: I) -> Fp12

Method which takes an iterator and generates Self from the elements by “summing up” the items.
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impl Sum for Fp12

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fn sum<I: Iterator<Item = Fp12>>(iter: I) -> Fp12

Method which takes an iterator and generates Self from the elements by “summing up” the items.
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impl Copy for Fp12

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impl Eq for Fp12

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impl StructuralPartialEq for Fp12

Auto Trait Implementations§

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impl Freeze for Fp12

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impl RefUnwindSafe for Fp12

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impl Send for Fp12

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impl Sync for Fp12

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impl Unpin for Fp12

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impl UnwindSafe for Fp12

Blanket Implementations§

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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> CloneToUninit for T
where T: Copy,

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unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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default unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. Read more
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impl<T> ConditionallyNegatable for T
where T: ConditionallySelectable, &'a T: for<'a> Neg<Output = T>,

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fn conditional_negate(&mut self, choice: Choice)

Negate self if choice == Choice(1); otherwise, leave it unchanged. 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<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, 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> 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> 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> 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> GroupOpsOwned<Rhs, Output> for T
where T: for<'r> GroupOps<&'r Rhs, Output>,

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

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impl<T, Rhs, Output> ScalarMulOwned<Rhs, Output> for T
where T: for<'r> ScalarMul<&'r Rhs, Output>,