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@ -2,16 +2,15 @@ use core::num::Wrapping;
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use core::ops::{Add, Mul};
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use core::ops::{Add, Mul};
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/// Defines an additive identity element for `Self`.
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/// Defines an additive identity element for `Self`.
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///
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/// # Laws
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///
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/// ```{.text}
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/// a + 0 = a ∀ a ∈ Self
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/// 0 + a = a ∀ a ∈ Self
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/// ```
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pub trait Zero: Sized + Add<Self, Output = Self> {
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pub trait Zero: Sized + Add<Self, Output = Self> {
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/// Returns the additive identity element of `Self`, `0`.
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/// Returns the additive identity element of `Self`, `0`.
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///
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/// # Laws
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///
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/// ```{.text}
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/// a + 0 = a ∀ a ∈ Self
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/// 0 + a = a ∀ a ∈ Self
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/// ```
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///
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/// # Purity
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/// # Purity
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///
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///
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/// This function should return the same result at all times regardless of
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/// This function should return the same result at all times regardless of
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@ -22,14 +21,7 @@ pub trait Zero: Sized + Add<Self, Output = Self> {
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/// Sets `self` to the additive identity element of `Self`, `0`.
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/// Sets `self` to the additive identity element of `Self`, `0`.
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/// Returns `&mut self` to enable method chaining.
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/// Returns `&mut self` to enable method chaining.
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///
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fn set_zero(&mut self) -> &mut Self {
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/// # Laws
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///
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/// ```{.text}
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/// a + 0 = a ∀ a ∈ Self
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/// 0 + a = a ∀ a ∈ Self
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/// ```
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fn to_zero(&mut self) -> &mut Self {
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*self = Zero::zero();
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*self = Zero::zero();
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self
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self
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}
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}
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@ -80,22 +72,28 @@ where
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fn is_zero(&self) -> bool {
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fn is_zero(&self) -> bool {
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self.0.is_zero()
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self.0.is_zero()
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}
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}
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fn set_zero(&mut self) -> &mut Self {
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self.0.set_zero();
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self
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}
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fn zero() -> Self {
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fn zero() -> Self {
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Wrapping(T::zero())
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Wrapping(T::zero())
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}
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}
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}
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}
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/// Defines a multiplicative identity element for `Self`.
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/// Defines a multiplicative identity element for `Self`.
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///
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/// # Laws
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///
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/// ```{.text}
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/// a * 1 = a ∀ a ∈ Self
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/// 1 * a = a ∀ a ∈ Self
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/// ```
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pub trait One: Sized + Mul<Self, Output = Self> {
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pub trait One: Sized + Mul<Self, Output = Self> {
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/// Returns the multiplicative identity element of `Self`, `1`.
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/// Returns the multiplicative identity element of `Self`, `1`.
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///
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///
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/// # Laws
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///
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/// ```{.text}
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/// a * 1 = a ∀ a ∈ Self
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/// 1 * a = a ∀ a ∈ Self
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/// ```
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///
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/// # Purity
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/// # Purity
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///
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///
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/// This function should return the same result at all times regardless of
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/// This function should return the same result at all times regardless of
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@ -106,14 +104,7 @@ pub trait One: Sized + Mul<Self, Output = Self> {
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/// Sets `self` to the multiplicative identity element of `Self`, `1`.
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/// Sets `self` to the multiplicative identity element of `Self`, `1`.
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/// Returns `&mut self` to enable method chaining.
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/// Returns `&mut self` to enable method chaining.
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///
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fn set_one(&mut self) -> &mut Self {
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/// # Laws
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///
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/// ```{.text}
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/// a * 1 = a ∀ a ∈ Self
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/// 1 * a = a ∀ a ∈ Self
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/// ```
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fn to_one(&mut self) -> &mut Self {
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*self = One::one();
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*self = One::one();
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self
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self
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}
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}
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@ -139,6 +130,10 @@ macro_rules! one_impl {
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fn one() -> $t {
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fn one() -> $t {
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$v
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$v
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}
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}
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#[inline]
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fn is_one(&self) -> bool {
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*self == $v
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}
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}
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}
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};
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};
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}
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}
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@ -166,6 +161,11 @@ impl<T: One> One for Wrapping<T>
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where
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where
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Wrapping<T>: Mul<Output = Wrapping<T>>,
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Wrapping<T>: Mul<Output = Wrapping<T>>,
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{
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{
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fn set_one(&mut self) -> &mut Self {
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self.0.set_one();
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self
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}
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fn one() -> Self {
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fn one() -> Self {
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Wrapping(T::one())
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Wrapping(T::one())
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}
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}
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