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-rw-r--r--library/core/src/num/nonzero.rs1134
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diff --git a/library/core/src/num/nonzero.rs b/library/core/src/num/nonzero.rs
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index 000000000..4de0a0cf5
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+++ b/library/core/src/num/nonzero.rs
@@ -0,0 +1,1134 @@
+//! Definitions of integer that is known not to equal zero.
+
+use crate::fmt;
+use crate::ops::{BitOr, BitOrAssign, Div, Rem};
+use crate::str::FromStr;
+
+use super::from_str_radix;
+use super::{IntErrorKind, ParseIntError};
+use crate::intrinsics;
+
+macro_rules! impl_nonzero_fmt {
+ ( #[$stability: meta] ( $( $Trait: ident ),+ ) for $Ty: ident ) => {
+ $(
+ #[$stability]
+ impl fmt::$Trait for $Ty {
+ #[inline]
+ fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+ self.get().fmt(f)
+ }
+ }
+ )+
+ }
+}
+
+macro_rules! nonzero_integers {
+ ( $( #[$stability: meta] #[$const_new_unchecked_stability: meta] $Ty: ident($Int: ty); )+ ) => {
+ $(
+ /// An integer that is known not to equal zero.
+ ///
+ /// This enables some memory layout optimization.
+ #[doc = concat!("For example, `Option<", stringify!($Ty), ">` is the same size as `", stringify!($Int), "`:")]
+ ///
+ /// ```rust
+ /// use std::mem::size_of;
+ #[doc = concat!("assert_eq!(size_of::<Option<core::num::", stringify!($Ty), ">>(), size_of::<", stringify!($Int), ">());")]
+ /// ```
+ #[$stability]
+ #[derive(Copy, Clone, Eq, PartialEq, Ord, PartialOrd, Hash)]
+ #[repr(transparent)]
+ #[rustc_layout_scalar_valid_range_start(1)]
+ #[rustc_nonnull_optimization_guaranteed]
+ #[rustc_diagnostic_item = stringify!($Ty)]
+ pub struct $Ty($Int);
+
+ impl $Ty {
+ /// Creates a non-zero without checking whether the value is non-zero.
+ /// This results in undefined behaviour if the value is zero.
+ ///
+ /// # Safety
+ ///
+ /// The value must not be zero.
+ #[$stability]
+ #[$const_new_unchecked_stability]
+ #[must_use]
+ #[inline]
+ pub const unsafe fn new_unchecked(n: $Int) -> Self {
+ // SAFETY: this is guaranteed to be safe by the caller.
+ unsafe {
+ core::intrinsics::assert_unsafe_precondition!(n != 0);
+ Self(n)
+ }
+ }
+
+ /// Creates a non-zero if the given value is not zero.
+ #[$stability]
+ #[rustc_const_stable(feature = "const_nonzero_int_methods", since = "1.47.0")]
+ #[must_use]
+ #[inline]
+ pub const fn new(n: $Int) -> Option<Self> {
+ if n != 0 {
+ // SAFETY: we just checked that there's no `0`
+ Some(unsafe { Self(n) })
+ } else {
+ None
+ }
+ }
+
+ /// Returns the value as a primitive type.
+ #[$stability]
+ #[inline]
+ #[rustc_const_stable(feature = "const_nonzero_get", since = "1.34.0")]
+ pub const fn get(self) -> $Int {
+ self.0
+ }
+
+ }
+
+ #[stable(feature = "from_nonzero", since = "1.31.0")]
+ #[rustc_const_unstable(feature = "const_num_from_num", issue = "87852")]
+ impl const From<$Ty> for $Int {
+ #[doc = concat!("Converts a `", stringify!($Ty), "` into an `", stringify!($Int), "`")]
+ #[inline]
+ fn from(nonzero: $Ty) -> Self {
+ nonzero.0
+ }
+ }
+
+ #[stable(feature = "nonzero_bitor", since = "1.45.0")]
+ #[rustc_const_unstable(feature = "const_ops", issue = "90080")]
+ impl const BitOr for $Ty {
+ type Output = Self;
+ #[inline]
+ fn bitor(self, rhs: Self) -> Self::Output {
+ // SAFETY: since `self` and `rhs` are both nonzero, the
+ // result of the bitwise-or will be nonzero.
+ unsafe { $Ty::new_unchecked(self.get() | rhs.get()) }
+ }
+ }
+
+ #[stable(feature = "nonzero_bitor", since = "1.45.0")]
+ #[rustc_const_unstable(feature = "const_ops", issue = "90080")]
+ impl const BitOr<$Int> for $Ty {
+ type Output = Self;
+ #[inline]
+ fn bitor(self, rhs: $Int) -> Self::Output {
+ // SAFETY: since `self` is nonzero, the result of the
+ // bitwise-or will be nonzero regardless of the value of
+ // `rhs`.
+ unsafe { $Ty::new_unchecked(self.get() | rhs) }
+ }
+ }
+
+ #[stable(feature = "nonzero_bitor", since = "1.45.0")]
+ #[rustc_const_unstable(feature = "const_ops", issue = "90080")]
+ impl const BitOr<$Ty> for $Int {
+ type Output = $Ty;
+ #[inline]
+ fn bitor(self, rhs: $Ty) -> Self::Output {
+ // SAFETY: since `rhs` is nonzero, the result of the
+ // bitwise-or will be nonzero regardless of the value of
+ // `self`.
+ unsafe { $Ty::new_unchecked(self | rhs.get()) }
+ }
+ }
+
+ #[stable(feature = "nonzero_bitor", since = "1.45.0")]
+ #[rustc_const_unstable(feature = "const_ops", issue = "90080")]
+ impl const BitOrAssign for $Ty {
+ #[inline]
+ fn bitor_assign(&mut self, rhs: Self) {
+ *self = *self | rhs;
+ }
+ }
+
+ #[stable(feature = "nonzero_bitor", since = "1.45.0")]
+ #[rustc_const_unstable(feature = "const_ops", issue = "90080")]
+ impl const BitOrAssign<$Int> for $Ty {
+ #[inline]
+ fn bitor_assign(&mut self, rhs: $Int) {
+ *self = *self | rhs;
+ }
+ }
+
+ impl_nonzero_fmt! {
+ #[$stability] (Debug, Display, Binary, Octal, LowerHex, UpperHex) for $Ty
+ }
+ )+
+ }
+}
+
+nonzero_integers! {
+ #[stable(feature = "nonzero", since = "1.28.0")] #[rustc_const_stable(feature = "nonzero", since = "1.28.0")] NonZeroU8(u8);
+ #[stable(feature = "nonzero", since = "1.28.0")] #[rustc_const_stable(feature = "nonzero", since = "1.28.0")] NonZeroU16(u16);
+ #[stable(feature = "nonzero", since = "1.28.0")] #[rustc_const_stable(feature = "nonzero", since = "1.28.0")] NonZeroU32(u32);
+ #[stable(feature = "nonzero", since = "1.28.0")] #[rustc_const_stable(feature = "nonzero", since = "1.28.0")] NonZeroU64(u64);
+ #[stable(feature = "nonzero", since = "1.28.0")] #[rustc_const_stable(feature = "nonzero", since = "1.28.0")] NonZeroU128(u128);
+ #[stable(feature = "nonzero", since = "1.28.0")] #[rustc_const_stable(feature = "nonzero", since = "1.28.0")] NonZeroUsize(usize);
+ #[stable(feature = "signed_nonzero", since = "1.34.0")] #[rustc_const_stable(feature = "signed_nonzero", since = "1.34.0")] NonZeroI8(i8);
+ #[stable(feature = "signed_nonzero", since = "1.34.0")] #[rustc_const_stable(feature = "signed_nonzero", since = "1.34.0")] NonZeroI16(i16);
+ #[stable(feature = "signed_nonzero", since = "1.34.0")] #[rustc_const_stable(feature = "signed_nonzero", since = "1.34.0")] NonZeroI32(i32);
+ #[stable(feature = "signed_nonzero", since = "1.34.0")] #[rustc_const_stable(feature = "signed_nonzero", since = "1.34.0")] NonZeroI64(i64);
+ #[stable(feature = "signed_nonzero", since = "1.34.0")] #[rustc_const_stable(feature = "signed_nonzero", since = "1.34.0")] NonZeroI128(i128);
+ #[stable(feature = "signed_nonzero", since = "1.34.0")] #[rustc_const_stable(feature = "signed_nonzero", since = "1.34.0")] NonZeroIsize(isize);
+}
+
+macro_rules! from_str_radix_nzint_impl {
+ ($($t:ty)*) => {$(
+ #[stable(feature = "nonzero_parse", since = "1.35.0")]
+ impl FromStr for $t {
+ type Err = ParseIntError;
+ fn from_str(src: &str) -> Result<Self, Self::Err> {
+ Self::new(from_str_radix(src, 10)?)
+ .ok_or(ParseIntError {
+ kind: IntErrorKind::Zero
+ })
+ }
+ }
+ )*}
+}
+
+from_str_radix_nzint_impl! { NonZeroU8 NonZeroU16 NonZeroU32 NonZeroU64 NonZeroU128 NonZeroUsize
+NonZeroI8 NonZeroI16 NonZeroI32 NonZeroI64 NonZeroI128 NonZeroIsize }
+
+macro_rules! nonzero_leading_trailing_zeros {
+ ( $( $Ty: ident($Uint: ty) , $LeadingTestExpr:expr ;)+ ) => {
+ $(
+ impl $Ty {
+ /// Returns the number of leading zeros in the binary representation of `self`.
+ ///
+ /// On many architectures, this function can perform better than `leading_zeros()` on the underlying integer type, as special handling of zero can be avoided.
+ ///
+ /// # Examples
+ ///
+ /// Basic usage:
+ ///
+ /// ```
+ #[doc = concat!("let n = std::num::", stringify!($Ty), "::new(", stringify!($LeadingTestExpr), ").unwrap();")]
+ ///
+ /// assert_eq!(n.leading_zeros(), 0);
+ /// ```
+ #[stable(feature = "nonzero_leading_trailing_zeros", since = "1.53.0")]
+ #[rustc_const_stable(feature = "nonzero_leading_trailing_zeros", since = "1.53.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn leading_zeros(self) -> u32 {
+ // SAFETY: since `self` cannot be zero, it is safe to call `ctlz_nonzero`.
+ unsafe { intrinsics::ctlz_nonzero(self.0 as $Uint) as u32 }
+ }
+
+ /// Returns the number of trailing zeros in the binary representation
+ /// of `self`.
+ ///
+ /// On many architectures, this function can perform better than `trailing_zeros()` on the underlying integer type, as special handling of zero can be avoided.
+ ///
+ /// # Examples
+ ///
+ /// Basic usage:
+ ///
+ /// ```
+ #[doc = concat!("let n = std::num::", stringify!($Ty), "::new(0b0101000).unwrap();")]
+ ///
+ /// assert_eq!(n.trailing_zeros(), 3);
+ /// ```
+ #[stable(feature = "nonzero_leading_trailing_zeros", since = "1.53.0")]
+ #[rustc_const_stable(feature = "nonzero_leading_trailing_zeros", since = "1.53.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn trailing_zeros(self) -> u32 {
+ // SAFETY: since `self` cannot be zero, it is safe to call `cttz_nonzero`.
+ unsafe { intrinsics::cttz_nonzero(self.0 as $Uint) as u32 }
+ }
+
+ }
+ )+
+ }
+}
+
+nonzero_leading_trailing_zeros! {
+ NonZeroU8(u8), u8::MAX;
+ NonZeroU16(u16), u16::MAX;
+ NonZeroU32(u32), u32::MAX;
+ NonZeroU64(u64), u64::MAX;
+ NonZeroU128(u128), u128::MAX;
+ NonZeroUsize(usize), usize::MAX;
+ NonZeroI8(u8), -1i8;
+ NonZeroI16(u16), -1i16;
+ NonZeroI32(u32), -1i32;
+ NonZeroI64(u64), -1i64;
+ NonZeroI128(u128), -1i128;
+ NonZeroIsize(usize), -1isize;
+}
+
+macro_rules! nonzero_integers_div {
+ ( $( $Ty: ident($Int: ty); )+ ) => {
+ $(
+ #[stable(feature = "nonzero_div", since = "1.51.0")]
+ #[rustc_const_unstable(feature = "const_ops", issue = "90080")]
+ impl const Div<$Ty> for $Int {
+ type Output = $Int;
+ /// This operation rounds towards zero,
+ /// truncating any fractional part of the exact result, and cannot panic.
+ #[inline]
+ fn div(self, other: $Ty) -> $Int {
+ // SAFETY: div by zero is checked because `other` is a nonzero,
+ // and MIN/-1 is checked because `self` is an unsigned int.
+ unsafe { crate::intrinsics::unchecked_div(self, other.get()) }
+ }
+ }
+
+ #[stable(feature = "nonzero_div", since = "1.51.0")]
+ #[rustc_const_unstable(feature = "const_ops", issue = "90080")]
+ impl const Rem<$Ty> for $Int {
+ type Output = $Int;
+ /// This operation satisfies `n % d == n - (n / d) * d`, and cannot panic.
+ #[inline]
+ fn rem(self, other: $Ty) -> $Int {
+ // SAFETY: rem by zero is checked because `other` is a nonzero,
+ // and MIN/-1 is checked because `self` is an unsigned int.
+ unsafe { crate::intrinsics::unchecked_rem(self, other.get()) }
+ }
+ }
+ )+
+ }
+}
+
+nonzero_integers_div! {
+ NonZeroU8(u8);
+ NonZeroU16(u16);
+ NonZeroU32(u32);
+ NonZeroU64(u64);
+ NonZeroU128(u128);
+ NonZeroUsize(usize);
+}
+
+// A bunch of methods for unsigned nonzero types only.
+macro_rules! nonzero_unsigned_operations {
+ ( $( $Ty: ident($Int: ident); )+ ) => {
+ $(
+ impl $Ty {
+ /// Add an unsigned integer to a non-zero value.
+ /// Check for overflow and return [`None`] on overflow
+ /// As a consequence, the result cannot wrap to zero.
+ ///
+ ///
+ /// # Examples
+ ///
+ /// ```
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let one = ", stringify!($Ty), "::new(1)?;")]
+ #[doc = concat!("let two = ", stringify!($Ty), "::new(2)?;")]
+ #[doc = concat!("let max = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MAX)?;")]
+ ///
+ /// assert_eq!(Some(two), one.checked_add(1));
+ /// assert_eq!(None, max.checked_add(1));
+ /// # Some(())
+ /// # }
+ /// ```
+ #[stable(feature = "nonzero_checked_ops", since = "1.64.0")]
+ #[rustc_const_stable(feature = "const_nonzero_checked_ops", since = "1.64.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn checked_add(self, other: $Int) -> Option<$Ty> {
+ if let Some(result) = self.get().checked_add(other) {
+ // SAFETY: $Int::checked_add returns None on overflow
+ // so the result cannot be zero.
+ Some(unsafe { $Ty::new_unchecked(result) })
+ } else {
+ None
+ }
+ }
+
+ /// Add an unsigned integer to a non-zero value.
+ #[doc = concat!("Return [`", stringify!($Int), "::MAX`] on overflow.")]
+ ///
+ /// # Examples
+ ///
+ /// ```
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let one = ", stringify!($Ty), "::new(1)?;")]
+ #[doc = concat!("let two = ", stringify!($Ty), "::new(2)?;")]
+ #[doc = concat!("let max = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MAX)?;")]
+ ///
+ /// assert_eq!(two, one.saturating_add(1));
+ /// assert_eq!(max, max.saturating_add(1));
+ /// # Some(())
+ /// # }
+ /// ```
+ #[stable(feature = "nonzero_checked_ops", since = "1.64.0")]
+ #[rustc_const_stable(feature = "const_nonzero_checked_ops", since = "1.64.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn saturating_add(self, other: $Int) -> $Ty {
+ // SAFETY: $Int::saturating_add returns $Int::MAX on overflow
+ // so the result cannot be zero.
+ unsafe { $Ty::new_unchecked(self.get().saturating_add(other)) }
+ }
+
+ /// Add an unsigned integer to a non-zero value,
+ /// assuming overflow cannot occur.
+ /// Overflow is unchecked, and it is undefined behaviour to overflow
+ /// *even if the result would wrap to a non-zero value*.
+ /// The behaviour is undefined as soon as
+ #[doc = concat!("`self + rhs > ", stringify!($Int), "::MAX`.")]
+ ///
+ /// # Examples
+ ///
+ /// ```
+ /// #![feature(nonzero_ops)]
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let one = ", stringify!($Ty), "::new(1)?;")]
+ #[doc = concat!("let two = ", stringify!($Ty), "::new(2)?;")]
+ ///
+ /// assert_eq!(two, unsafe { one.unchecked_add(1) });
+ /// # Some(())
+ /// # }
+ /// ```
+ #[unstable(feature = "nonzero_ops", issue = "84186")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const unsafe fn unchecked_add(self, other: $Int) -> $Ty {
+ // SAFETY: The caller ensures there is no overflow.
+ unsafe { $Ty::new_unchecked(self.get().unchecked_add(other)) }
+ }
+
+ /// Returns the smallest power of two greater than or equal to n.
+ /// Check for overflow and return [`None`]
+ /// if the next power of two is greater than the type’s maximum value.
+ /// As a consequence, the result cannot wrap to zero.
+ ///
+ /// # Examples
+ ///
+ /// ```
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let two = ", stringify!($Ty), "::new(2)?;")]
+ #[doc = concat!("let three = ", stringify!($Ty), "::new(3)?;")]
+ #[doc = concat!("let four = ", stringify!($Ty), "::new(4)?;")]
+ #[doc = concat!("let max = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MAX)?;")]
+ ///
+ /// assert_eq!(Some(two), two.checked_next_power_of_two() );
+ /// assert_eq!(Some(four), three.checked_next_power_of_two() );
+ /// assert_eq!(None, max.checked_next_power_of_two() );
+ /// # Some(())
+ /// # }
+ /// ```
+ #[stable(feature = "nonzero_checked_ops", since = "1.64.0")]
+ #[rustc_const_stable(feature = "const_nonzero_checked_ops", since = "1.64.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn checked_next_power_of_two(self) -> Option<$Ty> {
+ if let Some(nz) = self.get().checked_next_power_of_two() {
+ // SAFETY: The next power of two is positive
+ // and overflow is checked.
+ Some(unsafe { $Ty::new_unchecked(nz) })
+ } else {
+ None
+ }
+ }
+
+ /// Returns the base 2 logarithm of the number, rounded down.
+ ///
+ /// This is the same operation as
+ #[doc = concat!("[`", stringify!($Int), "::log2`],")]
+ /// except that it has no failure cases to worry about
+ /// since this value can never be zero.
+ ///
+ /// # Examples
+ ///
+ /// ```
+ /// #![feature(int_log)]
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ #[doc = concat!("assert_eq!(", stringify!($Ty), "::new(7).unwrap().log2(), 2);")]
+ #[doc = concat!("assert_eq!(", stringify!($Ty), "::new(8).unwrap().log2(), 3);")]
+ #[doc = concat!("assert_eq!(", stringify!($Ty), "::new(9).unwrap().log2(), 3);")]
+ /// ```
+ #[unstable(feature = "int_log", issue = "70887")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn log2(self) -> u32 {
+ Self::BITS - 1 - self.leading_zeros()
+ }
+
+ /// Returns the base 10 logarithm of the number, rounded down.
+ ///
+ /// This is the same operation as
+ #[doc = concat!("[`", stringify!($Int), "::log10`],")]
+ /// except that it has no failure cases to worry about
+ /// since this value can never be zero.
+ ///
+ /// # Examples
+ ///
+ /// ```
+ /// #![feature(int_log)]
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ #[doc = concat!("assert_eq!(", stringify!($Ty), "::new(99).unwrap().log10(), 1);")]
+ #[doc = concat!("assert_eq!(", stringify!($Ty), "::new(100).unwrap().log10(), 2);")]
+ #[doc = concat!("assert_eq!(", stringify!($Ty), "::new(101).unwrap().log10(), 2);")]
+ /// ```
+ #[unstable(feature = "int_log", issue = "70887")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn log10(self) -> u32 {
+ super::int_log10::$Int(self.0)
+ }
+ }
+ )+
+ }
+}
+
+nonzero_unsigned_operations! {
+ NonZeroU8(u8);
+ NonZeroU16(u16);
+ NonZeroU32(u32);
+ NonZeroU64(u64);
+ NonZeroU128(u128);
+ NonZeroUsize(usize);
+}
+
+// A bunch of methods for signed nonzero types only.
+macro_rules! nonzero_signed_operations {
+ ( $( $Ty: ident($Int: ty) -> $Uty: ident($Uint: ty); )+ ) => {
+ $(
+ impl $Ty {
+ /// Computes the absolute value of self.
+ #[doc = concat!("See [`", stringify!($Int), "::abs`]")]
+ /// for documentation on overflow behaviour.
+ ///
+ /// # Example
+ ///
+ /// ```
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let pos = ", stringify!($Ty), "::new(1)?;")]
+ #[doc = concat!("let neg = ", stringify!($Ty), "::new(-1)?;")]
+ ///
+ /// assert_eq!(pos, pos.abs());
+ /// assert_eq!(pos, neg.abs());
+ /// # Some(())
+ /// # }
+ /// ```
+ #[stable(feature = "nonzero_checked_ops", since = "1.64.0")]
+ #[rustc_const_stable(feature = "const_nonzero_checked_ops", since = "1.64.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn abs(self) -> $Ty {
+ // SAFETY: This cannot overflow to zero.
+ unsafe { $Ty::new_unchecked(self.get().abs()) }
+ }
+
+ /// Checked absolute value.
+ /// Check for overflow and returns [`None`] if
+ #[doc = concat!("`self == ", stringify!($Int), "::MIN`.")]
+ /// The result cannot be zero.
+ ///
+ /// # Example
+ ///
+ /// ```
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let pos = ", stringify!($Ty), "::new(1)?;")]
+ #[doc = concat!("let neg = ", stringify!($Ty), "::new(-1)?;")]
+ #[doc = concat!("let min = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MIN)?;")]
+ ///
+ /// assert_eq!(Some(pos), neg.checked_abs());
+ /// assert_eq!(None, min.checked_abs());
+ /// # Some(())
+ /// # }
+ /// ```
+ #[stable(feature = "nonzero_checked_ops", since = "1.64.0")]
+ #[rustc_const_stable(feature = "const_nonzero_checked_ops", since = "1.64.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn checked_abs(self) -> Option<$Ty> {
+ if let Some(nz) = self.get().checked_abs() {
+ // SAFETY: absolute value of nonzero cannot yield zero values.
+ Some(unsafe { $Ty::new_unchecked(nz) })
+ } else {
+ None
+ }
+ }
+
+ /// Computes the absolute value of self,
+ /// with overflow information, see
+ #[doc = concat!("[`", stringify!($Int), "::overflowing_abs`].")]
+ ///
+ /// # Example
+ ///
+ /// ```
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let pos = ", stringify!($Ty), "::new(1)?;")]
+ #[doc = concat!("let neg = ", stringify!($Ty), "::new(-1)?;")]
+ #[doc = concat!("let min = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MIN)?;")]
+ ///
+ /// assert_eq!((pos, false), pos.overflowing_abs());
+ /// assert_eq!((pos, false), neg.overflowing_abs());
+ /// assert_eq!((min, true), min.overflowing_abs());
+ /// # Some(())
+ /// # }
+ /// ```
+ #[stable(feature = "nonzero_checked_ops", since = "1.64.0")]
+ #[rustc_const_stable(feature = "const_nonzero_checked_ops", since = "1.64.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn overflowing_abs(self) -> ($Ty, bool) {
+ let (nz, flag) = self.get().overflowing_abs();
+ (
+ // SAFETY: absolute value of nonzero cannot yield zero values.
+ unsafe { $Ty::new_unchecked(nz) },
+ flag,
+ )
+ }
+
+ /// Saturating absolute value, see
+ #[doc = concat!("[`", stringify!($Int), "::saturating_abs`].")]
+ ///
+ /// # Example
+ ///
+ /// ```
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let pos = ", stringify!($Ty), "::new(1)?;")]
+ #[doc = concat!("let neg = ", stringify!($Ty), "::new(-1)?;")]
+ #[doc = concat!("let min = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MIN)?;")]
+ #[doc = concat!("let min_plus = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MIN + 1)?;")]
+ #[doc = concat!("let max = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MAX)?;")]
+ ///
+ /// assert_eq!(pos, pos.saturating_abs());
+ /// assert_eq!(pos, neg.saturating_abs());
+ /// assert_eq!(max, min.saturating_abs());
+ /// assert_eq!(max, min_plus.saturating_abs());
+ /// # Some(())
+ /// # }
+ /// ```
+ #[stable(feature = "nonzero_checked_ops", since = "1.64.0")]
+ #[rustc_const_stable(feature = "const_nonzero_checked_ops", since = "1.64.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn saturating_abs(self) -> $Ty {
+ // SAFETY: absolute value of nonzero cannot yield zero values.
+ unsafe { $Ty::new_unchecked(self.get().saturating_abs()) }
+ }
+
+ /// Wrapping absolute value, see
+ #[doc = concat!("[`", stringify!($Int), "::wrapping_abs`].")]
+ ///
+ /// # Example
+ ///
+ /// ```
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let pos = ", stringify!($Ty), "::new(1)?;")]
+ #[doc = concat!("let neg = ", stringify!($Ty), "::new(-1)?;")]
+ #[doc = concat!("let min = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MIN)?;")]
+ #[doc = concat!("let max = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MAX)?;")]
+ ///
+ /// assert_eq!(pos, pos.wrapping_abs());
+ /// assert_eq!(pos, neg.wrapping_abs());
+ /// assert_eq!(min, min.wrapping_abs());
+ /// # // FIXME: add once Neg is implemented?
+ /// # // assert_eq!(max, (-max).wrapping_abs());
+ /// # Some(())
+ /// # }
+ /// ```
+ #[stable(feature = "nonzero_checked_ops", since = "1.64.0")]
+ #[rustc_const_stable(feature = "const_nonzero_checked_ops", since = "1.64.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn wrapping_abs(self) -> $Ty {
+ // SAFETY: absolute value of nonzero cannot yield zero values.
+ unsafe { $Ty::new_unchecked(self.get().wrapping_abs()) }
+ }
+
+ /// Computes the absolute value of self
+ /// without any wrapping or panicking.
+ ///
+ /// # Example
+ ///
+ /// ```
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ #[doc = concat!("# use std::num::", stringify!($Uty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let u_pos = ", stringify!($Uty), "::new(1)?;")]
+ #[doc = concat!("let i_pos = ", stringify!($Ty), "::new(1)?;")]
+ #[doc = concat!("let i_neg = ", stringify!($Ty), "::new(-1)?;")]
+ #[doc = concat!("let i_min = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MIN)?;")]
+ #[doc = concat!("let u_max = ", stringify!($Uty), "::new(",
+ stringify!($Uint), "::MAX / 2 + 1)?;")]
+ ///
+ /// assert_eq!(u_pos, i_pos.unsigned_abs());
+ /// assert_eq!(u_pos, i_neg.unsigned_abs());
+ /// assert_eq!(u_max, i_min.unsigned_abs());
+ /// # Some(())
+ /// # }
+ /// ```
+ #[stable(feature = "nonzero_checked_ops", since = "1.64.0")]
+ #[rustc_const_stable(feature = "const_nonzero_checked_ops", since = "1.64.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn unsigned_abs(self) -> $Uty {
+ // SAFETY: absolute value of nonzero cannot yield zero values.
+ unsafe { $Uty::new_unchecked(self.get().unsigned_abs()) }
+ }
+ }
+ )+
+ }
+}
+
+nonzero_signed_operations! {
+ NonZeroI8(i8) -> NonZeroU8(u8);
+ NonZeroI16(i16) -> NonZeroU16(u16);
+ NonZeroI32(i32) -> NonZeroU32(u32);
+ NonZeroI64(i64) -> NonZeroU64(u64);
+ NonZeroI128(i128) -> NonZeroU128(u128);
+ NonZeroIsize(isize) -> NonZeroUsize(usize);
+}
+
+// A bunch of methods for both signed and unsigned nonzero types.
+macro_rules! nonzero_unsigned_signed_operations {
+ ( $( $signedness:ident $Ty: ident($Int: ty); )+ ) => {
+ $(
+ impl $Ty {
+ /// Multiply two non-zero integers together.
+ /// Check for overflow and return [`None`] on overflow.
+ /// As a consequence, the result cannot wrap to zero.
+ ///
+ /// # Examples
+ ///
+ /// ```
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let two = ", stringify!($Ty), "::new(2)?;")]
+ #[doc = concat!("let four = ", stringify!($Ty), "::new(4)?;")]
+ #[doc = concat!("let max = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MAX)?;")]
+ ///
+ /// assert_eq!(Some(four), two.checked_mul(two));
+ /// assert_eq!(None, max.checked_mul(two));
+ /// # Some(())
+ /// # }
+ /// ```
+ #[stable(feature = "nonzero_checked_ops", since = "1.64.0")]
+ #[rustc_const_stable(feature = "const_nonzero_checked_ops", since = "1.64.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn checked_mul(self, other: $Ty) -> Option<$Ty> {
+ if let Some(result) = self.get().checked_mul(other.get()) {
+ // SAFETY: checked_mul returns None on overflow
+ // and `other` is also non-null
+ // so the result cannot be zero.
+ Some(unsafe { $Ty::new_unchecked(result) })
+ } else {
+ None
+ }
+ }
+
+ /// Multiply two non-zero integers together.
+ #[doc = concat!("Return [`", stringify!($Int), "::MAX`] on overflow.")]
+ ///
+ /// # Examples
+ ///
+ /// ```
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let two = ", stringify!($Ty), "::new(2)?;")]
+ #[doc = concat!("let four = ", stringify!($Ty), "::new(4)?;")]
+ #[doc = concat!("let max = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MAX)?;")]
+ ///
+ /// assert_eq!(four, two.saturating_mul(two));
+ /// assert_eq!(max, four.saturating_mul(max));
+ /// # Some(())
+ /// # }
+ /// ```
+ #[stable(feature = "nonzero_checked_ops", since = "1.64.0")]
+ #[rustc_const_stable(feature = "const_nonzero_checked_ops", since = "1.64.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn saturating_mul(self, other: $Ty) -> $Ty {
+ // SAFETY: saturating_mul returns u*::MAX on overflow
+ // and `other` is also non-null
+ // so the result cannot be zero.
+ unsafe { $Ty::new_unchecked(self.get().saturating_mul(other.get())) }
+ }
+
+ /// Multiply two non-zero integers together,
+ /// assuming overflow cannot occur.
+ /// Overflow is unchecked, and it is undefined behaviour to overflow
+ /// *even if the result would wrap to a non-zero value*.
+ /// The behaviour is undefined as soon as
+ #[doc = sign_dependent_expr!{
+ $signedness ?
+ if signed {
+ concat!("`self * rhs > ", stringify!($Int), "::MAX`, ",
+ "or `self * rhs < ", stringify!($Int), "::MIN`.")
+ }
+ if unsigned {
+ concat!("`self * rhs > ", stringify!($Int), "::MAX`.")
+ }
+ }]
+ ///
+ /// # Examples
+ ///
+ /// ```
+ /// #![feature(nonzero_ops)]
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let two = ", stringify!($Ty), "::new(2)?;")]
+ #[doc = concat!("let four = ", stringify!($Ty), "::new(4)?;")]
+ ///
+ /// assert_eq!(four, unsafe { two.unchecked_mul(two) });
+ /// # Some(())
+ /// # }
+ /// ```
+ #[unstable(feature = "nonzero_ops", issue = "84186")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const unsafe fn unchecked_mul(self, other: $Ty) -> $Ty {
+ // SAFETY: The caller ensures there is no overflow.
+ unsafe { $Ty::new_unchecked(self.get().unchecked_mul(other.get())) }
+ }
+
+ /// Raise non-zero value to an integer power.
+ /// Check for overflow and return [`None`] on overflow.
+ /// As a consequence, the result cannot wrap to zero.
+ ///
+ /// # Examples
+ ///
+ /// ```
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let three = ", stringify!($Ty), "::new(3)?;")]
+ #[doc = concat!("let twenty_seven = ", stringify!($Ty), "::new(27)?;")]
+ #[doc = concat!("let half_max = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MAX / 2)?;")]
+ ///
+ /// assert_eq!(Some(twenty_seven), three.checked_pow(3));
+ /// assert_eq!(None, half_max.checked_pow(3));
+ /// # Some(())
+ /// # }
+ /// ```
+ #[stable(feature = "nonzero_checked_ops", since = "1.64.0")]
+ #[rustc_const_stable(feature = "const_nonzero_checked_ops", since = "1.64.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn checked_pow(self, other: u32) -> Option<$Ty> {
+ if let Some(result) = self.get().checked_pow(other) {
+ // SAFETY: checked_pow returns None on overflow
+ // so the result cannot be zero.
+ Some(unsafe { $Ty::new_unchecked(result) })
+ } else {
+ None
+ }
+ }
+
+ /// Raise non-zero value to an integer power.
+ #[doc = sign_dependent_expr!{
+ $signedness ?
+ if signed {
+ concat!("Return [`", stringify!($Int), "::MIN`] ",
+ "or [`", stringify!($Int), "::MAX`] on overflow.")
+ }
+ if unsigned {
+ concat!("Return [`", stringify!($Int), "::MAX`] on overflow.")
+ }
+ }]
+ ///
+ /// # Examples
+ ///
+ /// ```
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ /// # fn main() { test().unwrap(); }
+ /// # fn test() -> Option<()> {
+ #[doc = concat!("let three = ", stringify!($Ty), "::new(3)?;")]
+ #[doc = concat!("let twenty_seven = ", stringify!($Ty), "::new(27)?;")]
+ #[doc = concat!("let max = ", stringify!($Ty), "::new(",
+ stringify!($Int), "::MAX)?;")]
+ ///
+ /// assert_eq!(twenty_seven, three.saturating_pow(3));
+ /// assert_eq!(max, max.saturating_pow(3));
+ /// # Some(())
+ /// # }
+ /// ```
+ #[stable(feature = "nonzero_checked_ops", since = "1.64.0")]
+ #[rustc_const_stable(feature = "const_nonzero_checked_ops", since = "1.64.0")]
+ #[must_use = "this returns the result of the operation, \
+ without modifying the original"]
+ #[inline]
+ pub const fn saturating_pow(self, other: u32) -> $Ty {
+ // SAFETY: saturating_pow returns u*::MAX on overflow
+ // so the result cannot be zero.
+ unsafe { $Ty::new_unchecked(self.get().saturating_pow(other)) }
+ }
+ }
+ )+
+ }
+}
+
+// Use this when the generated code should differ between signed and unsigned types.
+macro_rules! sign_dependent_expr {
+ (signed ? if signed { $signed_case:expr } if unsigned { $unsigned_case:expr } ) => {
+ $signed_case
+ };
+ (unsigned ? if signed { $signed_case:expr } if unsigned { $unsigned_case:expr } ) => {
+ $unsigned_case
+ };
+}
+
+nonzero_unsigned_signed_operations! {
+ unsigned NonZeroU8(u8);
+ unsigned NonZeroU16(u16);
+ unsigned NonZeroU32(u32);
+ unsigned NonZeroU64(u64);
+ unsigned NonZeroU128(u128);
+ unsigned NonZeroUsize(usize);
+ signed NonZeroI8(i8);
+ signed NonZeroI16(i16);
+ signed NonZeroI32(i32);
+ signed NonZeroI64(i64);
+ signed NonZeroI128(i128);
+ signed NonZeroIsize(isize);
+}
+
+macro_rules! nonzero_unsigned_is_power_of_two {
+ ( $( $Ty: ident )+ ) => {
+ $(
+ impl $Ty {
+
+ /// Returns `true` if and only if `self == (1 << k)` for some `k`.
+ ///
+ /// On many architectures, this function can perform better than `is_power_of_two()`
+ /// on the underlying integer type, as special handling of zero can be avoided.
+ ///
+ /// # Examples
+ ///
+ /// Basic usage:
+ ///
+ /// ```
+ #[doc = concat!("let eight = std::num::", stringify!($Ty), "::new(8).unwrap();")]
+ /// assert!(eight.is_power_of_two());
+ #[doc = concat!("let ten = std::num::", stringify!($Ty), "::new(10).unwrap();")]
+ /// assert!(!ten.is_power_of_two());
+ /// ```
+ #[must_use]
+ #[stable(feature = "nonzero_is_power_of_two", since = "1.59.0")]
+ #[rustc_const_stable(feature = "nonzero_is_power_of_two", since = "1.59.0")]
+ #[inline]
+ pub const fn is_power_of_two(self) -> bool {
+ // LLVM 11 normalizes `unchecked_sub(x, 1) & x == 0` to the implementation seen here.
+ // On the basic x86-64 target, this saves 3 instructions for the zero check.
+ // On x86_64 with BMI1, being nonzero lets it codegen to `BLSR`, which saves an instruction
+ // compared to the `POPCNT` implementation on the underlying integer type.
+
+ intrinsics::ctpop(self.get()) < 2
+ }
+
+ }
+ )+
+ }
+}
+
+nonzero_unsigned_is_power_of_two! { NonZeroU8 NonZeroU16 NonZeroU32 NonZeroU64 NonZeroU128 NonZeroUsize }
+
+macro_rules! nonzero_min_max_unsigned {
+ ( $( $Ty: ident($Int: ident); )+ ) => {
+ $(
+ impl $Ty {
+ /// The smallest value that can be represented by this non-zero
+ /// integer type, 1.
+ ///
+ /// # Examples
+ ///
+ /// ```
+ /// #![feature(nonzero_min_max)]
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ #[doc = concat!("assert_eq!(", stringify!($Ty), "::MIN.get(), 1", stringify!($Int), ");")]
+ /// ```
+ #[unstable(feature = "nonzero_min_max", issue = "89065")]
+ pub const MIN: Self = Self::new(1).unwrap();
+
+ /// The largest value that can be represented by this non-zero
+ /// integer type,
+ #[doc = concat!("equal to [`", stringify!($Int), "::MAX`].")]
+ ///
+ /// # Examples
+ ///
+ /// ```
+ /// #![feature(nonzero_min_max)]
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ #[doc = concat!("assert_eq!(", stringify!($Ty), "::MAX.get(), ", stringify!($Int), "::MAX);")]
+ /// ```
+ #[unstable(feature = "nonzero_min_max", issue = "89065")]
+ pub const MAX: Self = Self::new(<$Int>::MAX).unwrap();
+ }
+ )+
+ }
+}
+
+macro_rules! nonzero_min_max_signed {
+ ( $( $Ty: ident($Int: ident); )+ ) => {
+ $(
+ impl $Ty {
+ /// The smallest value that can be represented by this non-zero
+ /// integer type,
+ #[doc = concat!("equal to [`", stringify!($Int), "::MIN`].")]
+ ///
+ /// Note: While most integer types are defined for every whole
+ /// number between `MIN` and `MAX`, signed non-zero integers are
+ /// a special case. They have a "gap" at 0.
+ ///
+ /// # Examples
+ ///
+ /// ```
+ /// #![feature(nonzero_min_max)]
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ #[doc = concat!("assert_eq!(", stringify!($Ty), "::MIN.get(), ", stringify!($Int), "::MIN);")]
+ /// ```
+ #[unstable(feature = "nonzero_min_max", issue = "89065")]
+ pub const MIN: Self = Self::new(<$Int>::MIN).unwrap();
+
+ /// The largest value that can be represented by this non-zero
+ /// integer type,
+ #[doc = concat!("equal to [`", stringify!($Int), "::MAX`].")]
+ ///
+ /// Note: While most integer types are defined for every whole
+ /// number between `MIN` and `MAX`, signed non-zero integers are
+ /// a special case. They have a "gap" at 0.
+ ///
+ /// # Examples
+ ///
+ /// ```
+ /// #![feature(nonzero_min_max)]
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ #[doc = concat!("assert_eq!(", stringify!($Ty), "::MAX.get(), ", stringify!($Int), "::MAX);")]
+ /// ```
+ #[unstable(feature = "nonzero_min_max", issue = "89065")]
+ pub const MAX: Self = Self::new(<$Int>::MAX).unwrap();
+ }
+ )+
+ }
+}
+
+nonzero_min_max_unsigned! {
+ NonZeroU8(u8);
+ NonZeroU16(u16);
+ NonZeroU32(u32);
+ NonZeroU64(u64);
+ NonZeroU128(u128);
+ NonZeroUsize(usize);
+}
+
+nonzero_min_max_signed! {
+ NonZeroI8(i8);
+ NonZeroI16(i16);
+ NonZeroI32(i32);
+ NonZeroI64(i64);
+ NonZeroI128(i128);
+ NonZeroIsize(isize);
+}
+
+macro_rules! nonzero_bits {
+ ( $( $Ty: ident($Int: ty); )+ ) => {
+ $(
+ impl $Ty {
+ /// The size of this non-zero integer type in bits.
+ ///
+ #[doc = concat!("This value is equal to [`", stringify!($Int), "::BITS`].")]
+ ///
+ /// # Examples
+ ///
+ /// ```
+ /// #![feature(nonzero_bits)]
+ #[doc = concat!("# use std::num::", stringify!($Ty), ";")]
+ ///
+ #[doc = concat!("assert_eq!(", stringify!($Ty), "::BITS, ", stringify!($Int), "::BITS);")]
+ /// ```
+ #[unstable(feature = "nonzero_bits", issue = "94881")]
+ pub const BITS: u32 = <$Int>::BITS;
+ }
+ )+
+ }
+}
+
+nonzero_bits! {
+ NonZeroU8(u8);
+ NonZeroI8(i8);
+ NonZeroU16(u16);
+ NonZeroI16(i16);
+ NonZeroU32(u32);
+ NonZeroI32(i32);
+ NonZeroU64(u64);
+ NonZeroI64(i64);
+ NonZeroU128(u128);
+ NonZeroI128(i128);
+ NonZeroUsize(usize);
+ NonZeroIsize(isize);
+}